version
stringclasses 1
value | hypothesis
stringlengths 9
92
| hypothesis_formula
stringlengths 3
35
| facts
stringlengths 0
630
| facts_formula
stringlengths 0
381
| proofs
sequencelengths 0
1
| proofs_formula
sequencelengths 0
1
| negative_hypothesis
stringlengths 9
82
â | negative_hypothesis_formula
stringlengths 3
37
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
13
â | original_tree_steps
int64 1
5
| original_tree_depth
int64 1
5
| steps
int64 1
5
â | depth
int64 1
5
â | num_formula_distractors
int64 0
5
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
5
| proof_label
stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
stringclasses 3
values | negative_world_assump_label
stringclasses 2
values | prompt_serial
stringlengths 76
691
| proof_serial
stringlengths 11
283
| prompt_serial_formula
stringlengths 53
428
| proof_serial_formula
stringlengths 11
207
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | 以äžã®ããã«ä»®å®ããããã®ããªããLv.65ã¯é¢ç®ç¡ããªã | ¬{A}{a} | fact1: ãã®ããªããLv.65ã¯ãã°ã fact2: ãããããã®ããªããLv.65ã¯ãã°ããªããŠãã€é¢ç®ç¡ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããšããããã®ããããLv.72ã¯ãã°ããªã fact3: ããä»®ã«ããã®ããªããLv.65ã¯å·ãããªãããããã¯èº«è»œãããããã¯äž¡æ¹ãšãã ããšããããšã¯ééã£ãŠãããªããã®ããªããLv.65ã¯ãã€ãã£ãããã fact4: å¯ããã¢ã³ã¹ã¿ãŒã¯ãã°ãããããé¢ç®ç¡ããªã fact5: ããä»®ã«ãã®ããªããLv.65ãé¢ç®ç¡ããªããšããããã°ããªã fact6: ããã¢ã³ã¹ã¿ãŒã¯å¯ãããšããã°ããã°ããªãããããé¢ç®ç¡ããªãããšããããšã¯æ£ãããªã fact7: ãã€ãã£ããããã¢ã³ã¹ã¿ãŒã¯å¯ãã | fact1: {B}{a} fact2: ¬(¬{B}{a} & ¬{A}{a}) -> ¬{B}{cf} fact3: ¬(¬{E}{a} v {F}{a}) -> {D}{a} fact4: (x): {C}x -> ({B}x & ¬{A}x) fact5: ¬{A}{a} -> ¬{B}{a} fact6: (x): {C}x -> ¬(¬{B}x & ¬{A}x) fact7: (x): {D}x -> {C}x | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããªããLv.65ã¯é¢ç®ç¡ããªã; fact5 & assump1 -> int1: ãã®ããªããLv.65ã¯ãã°ããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact5 & assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | ãã®ããããLv.72ã¯ãã°ããªã | ¬{B}{cf} | [
"fact9 -> int3: ããããã®ããªããLv.65ã¯å¯ãããšãããããã°ããªããŠæŽã«é¢ç®ç¡ããªãããšããããšã¯åã§ãã; fact8 -> int4: ãã®ããªããLv.65ããã€ãã£ãããããšããã°ãã®ããªããLv.65ã¯å¯ãã;"
] | 6 | 4 | 3 | 4 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ããªããLv.65ã¯ãã°ã fact2: ãããããã®ããªããLv.65ã¯ãã°ããªããŠãã€é¢ç®ç¡ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããšããããã®ããããLv.72ã¯ãã°ããªã fact3: ããä»®ã«ããã®ããªããLv.65ã¯å·ãããªãããããã¯èº«è»œãããããã¯äž¡æ¹ãšãã ããšããããšã¯ééã£ãŠãããªããã®ããªããLv.65ã¯ãã€ãã£ãããã fact4: å¯ããã¢ã³ã¹ã¿ãŒã¯ãã°ãããããé¢ç®ç¡ããªã fact5: ããä»®ã«ãã®ããªããLv.65ãé¢ç®ç¡ããªããšããããã°ããªã fact6: ããã¢ã³ã¹ã¿ãŒã¯å¯ãããšããã°ããã°ããªãããããé¢ç®ç¡ããªãããšããããšã¯æ£ãããªã fact7: ãã€ãã£ããããã¢ã³ã¹ã¿ãŒã¯å¯ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ããªããLv.65ã¯é¢ç®ç¡ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããªããLv.65ã¯é¢ç®ç¡ããªã; fact5 & assump1 -> int1: ãã®ããªããLv.65ã¯ãã°ããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: ¬(¬{B}{a} & ¬{A}{a}) -> ¬{B}{cf} fact3: ¬(¬{E}{a} v {F}{a}) -> {D}{a} fact4: (x): {C}x -> ({B}x & ¬{A}x) fact5: ¬{A}{a} -> ¬{B}{a} fact6: (x): {C}x -> ¬(¬{B}x & ¬{A}x) fact7: (x): {D}x -> {C}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: ¬{A}{a}; fact5 & assump1 -> int1: ¬{B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ããããé»ããªããæ³å®ãé£ããªããå€æ§åããªãããšããããšã¯èª€ããªãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åœã | ¬((Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x)) | fact1: ä»®ã«ãã®ãããã«ãLv.88ã¯é»ããšãããããã®ãããã«ãLv.88ã¯æ³å®ãé£ãäžæ¹ã§å€æ§åããªãããšããããšã¯èª€ãã§ãã | fact1: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãããã«ãLv.88ã¯é»ããšãããããã®ãããã«ãLv.88ã¯æ³å®ãé£ãäžæ¹ã§å€æ§åããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ããããé»ããªããæ³å®ãé£ããªããå€æ§åããªãããšããããšã¯èª€ããªãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) ; $hypothesis$ = ¬((Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x)) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã«ãã¿ãªLv.32ã¯ææ
æ·±ã | {D}{b} | fact1: ãã®ã·ãã·ãLv.86ã¯åºããŠãããããã fact2: ä»®ã«åºãã¢ã³ã¹ã¿ãŒããããããããšããã°ããã¯çŸããæããªã fact3: ããã®ãœã«ã
ãœãLv.26ã¯åºãããããèµ·ããé£ãããšããããšã¯äºå®ã§ãªã fact4: ãããã®ã·ãã·ãLv.86ã¯çŸããæããšããããšã¯ãªããšããã°ããã®ãœã«ã
ãœãLv.26ã¯ç±ã
ããªããã©èµ·ããé£ãããšããããšã¯èª€ã£ãŠãã fact5: ããã®ãœã«ã
ãœãLv.26ã¯ç±ã
ããªãããããèµ·ããé£ãããšããããšã¯çå®ã§ãªããªããã®ã¿ã«ãã¿ãªLv.32ã¯ææ
æ·±ããªã | fact1: ({AA}{aa} & {AB}{aa}) fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: ¬({AA}{a} & {A}{a}) fact4: ¬{B}{aa} -> ¬(¬{C}{a} & {A}{a}) fact5: ¬(¬{C}{a} & {A}{a}) -> ¬{D}{b} | [
"fact2 -> int1: ããããã®ã·ãã·ãLv.86ãåºããŠãããããããšããããã®ã·ãã·ãLv.86ã¯çŸããæããªã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.86ã¯çŸããæããªã; int2 & fact4 -> int3: ããã®ãœã«ã
ãœãLv.26ã¯ç±ã
ããªããã©èµ·ããé£ãããšããããšã¯èª€ãã ; int3 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact1 -> int2: ¬{B}{aa}; int2 & fact4 -> int3: ¬(¬{C}{a} & {A}{a}); int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã·ãã·ãLv.86ã¯åºããŠãããããã fact2: ä»®ã«åºãã¢ã³ã¹ã¿ãŒããããããããšããã°ããã¯çŸããæããªã fact3: ããã®ãœã«ã
ãœãLv.26ã¯åºãããããèµ·ããé£ãããšããããšã¯äºå®ã§ãªã fact4: ãããã®ã·ãã·ãLv.86ã¯çŸããæããšããããšã¯ãªããšããã°ããã®ãœã«ã
ãœãLv.26ã¯ç±ã
ããªããã©èµ·ããé£ãããšããããšã¯èª€ã£ãŠãã fact5: ããã®ãœã«ã
ãœãLv.26ã¯ç±ã
ããªãããããèµ·ããé£ãããšããããšã¯çå®ã§ãªããªããã®ã¿ã«ãã¿ãªLv.32ã¯ææ
æ·±ããªã ; $hypothesis$ = ãã®ã¿ã«ãã¿ãªLv.32ã¯ææ
æ·±ã ; $proof$ = | fact2 -> int1: ããããã®ã·ãã·ãLv.86ãåºããŠãããããããšããããã®ã·ãã·ãLv.86ã¯çŸããæããªã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.86ã¯çŸããæããªã; int2 & fact4 -> int3: ããã®ãœã«ã
ãœãLv.26ã¯ç±ã
ããªããã©èµ·ããé£ãããšããããšã¯èª€ãã ; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{aa} & {AB}{aa}) fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: ¬({AA}{a} & {A}{a}) fact4: ¬{B}{aa} -> ¬(¬{C}{a} & {A}{a}) fact5: ¬(¬{C}{a} & {A}{a}) -> ¬{D}{b} ; $hypothesis$ = {D}{b} ; $proof$ = | fact2 -> int1: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact1 -> int2: ¬{B}{aa}; int2 & fact4 -> int3: ¬(¬{C}{a} & {A}{a}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãLv.43ã¯åŸ¡è©±åºæ¥ã | {F}{c} | fact1: ããããã®ã¿ã«ãã¿ã«ãLv.51ãçãããšããã°ãã®ãœããœãLv.92ã¯æžããªã fact2: ãã®ã¿ã«ãã¿ã«ãLv.51ã¯é²ãæã fact3: ãã®ãœããœãLv.92ãæžããªããªãã°æœããŠå ããŠå€æãé£ã fact4: ãã®ãœããœãLv.92ãå€æãé£ããšããããã®ã·ãã·ãLv.43ã¯åŸ¡è©±åºæ¥ã fact5: ä»®ã«ãã®ã¿ã«ãã¿ã«ãLv.51ãé²ãæããšãããšçãã | fact1: {B}{a} -> ¬{C}{b} fact2: {A}{a} fact3: ¬{C}{b} -> ({E}{b} & {D}{b}) fact4: {D}{b} -> {F}{c} fact5: {A}{a} -> {B}{a} | [
"fact5 & fact2 -> int1: ãã®ã¿ã«ãã¿ã«ãLv.51ã¯çãã; int1 & fact1 -> int2: ããã®ãœããœãLv.92ã¯æžããªãããšããããšã¯æ£ãã; int2 & fact3 -> int3: ããã®ãœããœãLv.92ã¯æœããå€æãé£ãããšããããšã¯çå®ã ; int3 -> int4: ãã®ãœããœãLv.92ã¯å€æãé£ã; int4 & fact4 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {B}{a}; int1 & fact1 -> int2: ¬{C}{b}; int2 & fact3 -> int3: ({E}{b} & {D}{b}); int3 -> int4: {D}{b}; int4 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã®ã¿ã«ãã¿ã«ãLv.51ãçãããšããã°ãã®ãœããœãLv.92ã¯æžããªã fact2: ãã®ã¿ã«ãã¿ã«ãLv.51ã¯é²ãæã fact3: ãã®ãœããœãLv.92ãæžããªããªãã°æœããŠå ããŠå€æãé£ã fact4: ãã®ãœããœãLv.92ãå€æãé£ããšããããã®ã·ãã·ãLv.43ã¯åŸ¡è©±åºæ¥ã fact5: ä»®ã«ãã®ã¿ã«ãã¿ã«ãLv.51ãé²ãæããšãããšçãã ; $hypothesis$ = ãã®ã·ãã·ãLv.43ã¯åŸ¡è©±åºæ¥ã ; $proof$ = | fact5 & fact2 -> int1: ãã®ã¿ã«ãã¿ã«ãLv.51ã¯çãã; int1 & fact1 -> int2: ããã®ãœããœãLv.92ã¯æžããªãããšããããšã¯æ£ãã; int2 & fact3 -> int3: ããã®ãœããœãLv.92ã¯æœããå€æãé£ãããšããããšã¯çå®ã ; int3 -> int4: ãã®ãœããœãLv.92ã¯å€æãé£ã; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> ¬{C}{b} fact2: {A}{a} fact3: ¬{C}{b} -> ({E}{b} & {D}{b}) fact4: {D}{b} -> {F}{c} fact5: {A}{a} -> {B}{a} ; $hypothesis$ = {F}{c} ; $proof$ = | fact5 & fact2 -> int1: {B}{a}; int1 & fact1 -> int2: ¬{C}{b}; int2 & fact3 -> int3: ({E}{b} & {D}{b}); int3 -> int4: {D}{b}; int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ãããLv.87ã¯çããã | {D}{c} | fact1: ãã®ãŸããŸãLv.8ã¯é瀺ãããšãããšããã®ãœããœãLv.15ã¯ç©æ²ãããªãäžæ¹ã§æãåºæ·±ãããšããããšã¯æãç«ã€ fact2: ä»®ã«ããã®ãœããœãLv.15ã¯ç©æ²ãããšããããšã¯ãªãããã©æãåºæ·±ãããšããããšã¯ç¢ºãã§ãããªãã°ãã®ãœã«ãœãLv.59ã¯å±
çºãã fact3: ããä»®ã«ããã®ãœããœãLv.15ã¯è¯ã
ããããããã¯å±
çºãããªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯ééãã§ãããªãã°ãã®ãã¡ãããLv.87ã¯çããããªã fact4: ãã®ãŸããŸãLv.8ã¯é瀺ãã fact5: ãããã®ãœã«ãœãLv.59ã¯å±
çºãããšããã°ããã®ãœã«ãœãLv.59ã¯è¯ã
ãããªãããããåŒæžãããªãããšããããšã¯åã | fact1: {E}{d} -> (¬{AA}{a} & {AB}{a}) fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: ¬({A}{a} v ¬{B}{a}) -> ¬{D}{c} fact4: {E}{d} fact5: {B}{b} -> ¬(¬{A}{b} & ¬{C}{b}) | [
"fact4 & fact1 -> int1: ãã®ãœããœãLv.15ã¯ç©æ²ãããªãäžæ¹ã§æãåºæ·±ã; fact2 & int1 -> int2: ãã®ãœã«ãœãLv.59ã¯å±
çºãã; int2 & fact5 -> int3: ããã®ãœã«ãœãLv.59ã¯è¯ã
ãããªããŠããã«åŒæžãããªãããšããããšã¯èª€ã£ãŠãã;"
] | [
"fact4 & fact1 -> int1: (¬{AA}{a} & {AB}{a}); fact2 & int1 -> int2: {B}{b}; int2 & fact5 -> int3: ¬(¬{A}{b} & ¬{C}{b});"
] | ãã®ãã¡ãããLv.87ã¯çããããªã | ¬{D}{c} | [] | 5 | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.8ã¯é瀺ãããšãããšããã®ãœããœãLv.15ã¯ç©æ²ãããªãäžæ¹ã§æãåºæ·±ãããšããããšã¯æãç«ã€ fact2: ä»®ã«ããã®ãœããœãLv.15ã¯ç©æ²ãããšããããšã¯ãªãããã©æãåºæ·±ãããšããããšã¯ç¢ºãã§ãããªãã°ãã®ãœã«ãœãLv.59ã¯å±
çºãã fact3: ããä»®ã«ããã®ãœããœãLv.15ã¯è¯ã
ããããããã¯å±
çºãããªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯ééãã§ãããªãã°ãã®ãã¡ãããLv.87ã¯çããããªã fact4: ãã®ãŸããŸãLv.8ã¯é瀺ãã fact5: ãããã®ãœã«ãœãLv.59ã¯å±
çºãããšããã°ããã®ãœã«ãœãLv.59ã¯è¯ã
ãããªãããããåŒæžãããªãããšããããšã¯åã ; $hypothesis$ = ãã®ãã¡ãããLv.87ã¯çããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E}{d} -> (¬{AA}{a} & {AB}{a}) fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: ¬({A}{a} v ¬{B}{a}) -> ¬{D}{c} fact4: {E}{d} fact5: {B}{b} -> ¬(¬{A}{b} & ¬{C}{b}) ; $hypothesis$ = {D}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã®ãŸã¡ã
Lv.43ã¯æšã | {E}{c} | fact1: ãããã®ã·ãã·ãLv.17ã¯å§æããªããªãããã®ã¿ã®ã¿ãLv.18ã¯çã£çœããšããããšã¯ãªããŠã©ã§ãããªãããšããããšã¯æãç«ããªã fact2: ãä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯ç¹°ãåããªãããšããããšã¯æãç«ãŠã°ããã¯å§æããªãããšããããšã¯çå®ã fact3: ä»®ã«ããã®ã¿ã®ã¿ãLv.18ã¯çã£çœããªããŠãããã©ã§ãããªãããšããããšã¯åœã ãšããã°ãã®ãŸã®ãŸã¡ã
Lv.43ã¯æšããªã fact4: ãã®ã·ãã·ãLv.17ã¯ç¹°ãåããªã | fact1: ¬{B}{a} -> ¬(¬{D}{b} & ¬{C}{b}) fact2: (x): ¬{A}x -> ¬{B}x fact3: ¬(¬{D}{b} & ¬{C}{b}) -> ¬{E}{c} fact4: ¬{A}{a} | [
"fact2 -> int1: ããä»®ã«ããã®ã·ãã·ãLv.17ã¯ç¹°ãåããšããããšã¯ãªãããšããããšã¯äºå®ã§ããã°å§æããªã; int1 & fact4 -> int2: ãã®ã·ãã·ãLv.17ã¯å§æãããšããããšã¯ãªã; int2 & fact1 -> int3: ããã®ã¿ã®ã¿ãLv.18ã¯çã£çœããªããããã«ã©ã§ãããªãããšããããšã¯åœã§ãã; int3 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: ¬{A}{a} -> ¬{B}{a}; int1 & fact4 -> int2: ¬{B}{a}; int2 & fact1 -> int3: ¬(¬{D}{b} & ¬{C}{b}); int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã·ãã·ãLv.17ã¯å§æããªããªãããã®ã¿ã®ã¿ãLv.18ã¯çã£çœããšããããšã¯ãªããŠã©ã§ãããªãããšããããšã¯æãç«ããªã fact2: ãä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯ç¹°ãåããªãããšããããšã¯æãç«ãŠã°ããã¯å§æããªãããšããããšã¯çå®ã fact3: ä»®ã«ããã®ã¿ã®ã¿ãLv.18ã¯çã£çœããªããŠãããã©ã§ãããªãããšããããšã¯åœã ãšããã°ãã®ãŸã®ãŸã¡ã
Lv.43ã¯æšããªã fact4: ãã®ã·ãã·ãLv.17ã¯ç¹°ãåããªã ; $hypothesis$ = ãã®ãŸã®ãŸã¡ã
Lv.43ã¯æšã ; $proof$ = | fact2 -> int1: ããä»®ã«ããã®ã·ãã·ãLv.17ã¯ç¹°ãåããšããããšã¯ãªãããšããããšã¯äºå®ã§ããã°å§æããªã; int1 & fact4 -> int2: ãã®ã·ãã·ãLv.17ã¯å§æãããšããããšã¯ãªã; int2 & fact1 -> int3: ããã®ã¿ã®ã¿ãLv.18ã¯çã£çœããªããããã«ã©ã§ãããªãããšããããšã¯åœã§ãã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{a} -> ¬(¬{D}{b} & ¬{C}{b}) fact2: (x): ¬{A}x -> ¬{B}x fact3: ¬(¬{D}{b} & ¬{C}{b}) -> ¬{E}{c} fact4: ¬{A}{a} ; $hypothesis$ = {E}{c} ; $proof$ = | fact2 -> int1: ¬{A}{a} -> ¬{B}{a}; int1 & fact4 -> int2: ¬{B}{a}; int2 & fact1 -> int3: ¬(¬{D}{b} & ¬{C}{b}); int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã«ãŽãLv.83ã¯æ³¥èããªããããã«ä»æ¹ç¡ããªãããšããããšã¯èª€ãã§ãã | ¬(¬{B}{a} & ¬{A}{a}) | fact1: ãã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªããŠããã«ããã¯æ»ãæããªã fact2: ä»®ã«ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããªãã°ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªããã©æ»ãæãããšããããšã¯æãç«ããªã fact3: ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããšããããšã¯ãªãäžæ¹ã§æ»ãæãããšããããšã¯ç¢ºãã§ãªã fact4: ãã®ãŽã«ãŽãLv.83ã¯æ³¥èããªã fact5: ããä»®ã«ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããšããã°ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªãããŸãæ»ãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact6: ãããä»®ã«ãã®ã¿ãªã¿ãLv.20ãçºçãé£ããªããªãã°ãã®ã¿ãªã¿ãLv.20ã¯èããŠåãæããæãããšããããšã¯æãç«ã€ fact7: åãæããæãã¢ã³ã¹ã¿ãŒã¯ä»æ¹ç¡ããªããããã«æ³¥èããªã fact8: ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããšããã°ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ãããã©æ»ãæããªãããšããããšã¯åœã§ãã | fact1: (¬{AA}{b} & ¬{AB}{b}) fact2: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact3: ¬(¬{AA}{b} & {AB}{b}) fact4: ¬{B}{a} fact5: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact6: ¬{E}{b} -> ({D}{b} & {C}{b}) fact7: (x): {C}x -> (¬{A}x & ¬{B}x) fact8: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ã; fact5 & assump1 -> int1: ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªããŠæŽã«æ»ãæããªãããšããããšã¯ç¢ºãã§ãªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããšããããšã¯ãªã; int3 & fact4 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact4 -> hypothesis;"
] | ããã®ãŽã«ãŽãLv.83ã¯å¥œããããªããŠããã¯å°äžæ·±ããªãããšããããšã¯æãç«ããªã | ¬(¬{FO}{a} & ¬{AA}{a}) | [
"fact10 -> int4: ããä»®ã«ãã®ã¿ãªã¿ãLv.20ã¯åãæããæããªããããã¯ä»æ¹ç¡ããªãããã€æ³¥èããªãããšããããšã¯ç¢ºãã ;"
] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªããŠããã«ããã¯æ»ãæããªã fact2: ä»®ã«ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããªãã°ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªããã©æ»ãæãããšããããšã¯æãç«ããªã fact3: ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããšããããšã¯ãªãäžæ¹ã§æ»ãæãããšããããšã¯ç¢ºãã§ãªã fact4: ãã®ãŽã«ãŽãLv.83ã¯æ³¥èããªã fact5: ããä»®ã«ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããšããã°ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªãããŸãæ»ãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact6: ãããä»®ã«ãã®ã¿ãªã¿ãLv.20ãçºçãé£ããªããªãã°ãã®ã¿ãªã¿ãLv.20ã¯èããŠåãæããæãããšããããšã¯æãç«ã€ fact7: åãæããæãã¢ã³ã¹ã¿ãŒã¯ä»æ¹ç¡ããªããããã«æ³¥èããªã fact8: ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããšããã°ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ãããã©æ»ãæããªãããšããããšã¯åœã§ãã ; $hypothesis$ = ããã®ãŽã«ãŽãLv.83ã¯æ³¥èããªããããã«ä»æ¹ç¡ããªãããšããããšã¯èª€ãã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ã; fact5 & assump1 -> int1: ããã®ã¿ãªã¿ãLv.20ã¯å°äžæ·±ããªããŠæŽã«æ»ãæããªãããšããããšã¯ç¢ºãã§ãªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŽã«ãŽãLv.83ã¯ä»æ¹ç¡ããšããããšã¯ãªã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA}{b} & ¬{AB}{b}) fact2: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact3: ¬(¬{AA}{b} & {AB}{b}) fact4: ¬{B}{a} fact5: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact6: ¬{E}{b} -> ({D}{b} & {C}{b}) fact7: (x): {C}x -> (¬{A}x & ¬{B}x) fact8: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) ; $hypothesis$ = ¬(¬{B}{a} & ¬{A}{a}) ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãããããLv.61äºä»¶ã¯ãæ¹æ£ããããšã¯çºçãããæãæ²ããããšã¯èµ·ãããªãããšããããšãåŒãèµ·ããããšããããšã¯æãç«ããªã | ¬({A} -> ({D} & ¬{C})) | fact1: æç·©ããšããããšã¯ãæ¹æ£ããããšãçºçããäžæ¹ã§æãæ²ããããšã¯èµ·ããªãããšããããšã«ç¹ãã fact2: ããä»®ã«ãç§ããããšããããšã¯çããªããããã«éè²ãæããšããããšã¯çããªãããšããããšã¯æãç«ããªããªãæç·©ããšããããšãèµ·ãã fact3: æç·©ããšããããšã¯çºçããªããšããããŽã«ãŽãLv.5äºä»¶ãšããããLv.61äºä»¶äž¡æ¹ãçãã fact4: ä»®ã«ããããLv.61äºä»¶ãèµ·ãããšããã°ãç§ããããšããããšã¯çããªããæŽã«éè²ãæããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: {B} -> ({D} & ¬{C}) fact2: ¬(¬{AA} & ¬{AB}) -> {B} fact3: ¬{B} -> ({GO} & {A}) fact4: {A} -> ¬(¬{AA} & ¬{AB}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããããLv.61äºä»¶ãèµ·ãã; fact4 & assump1 -> int1: ããç§ããããšããããšã¯èµ·ãããªããŠããŸãã«éè²ãæããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã; int1 & fact2 -> int2: æç·©ããšããããšãèµ·ãã; int2 & fact1 -> int3: æ¹æ£ããããšãèµ·ããäžæ¹ã§æãæ²ããããšã¯çºçããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact4 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact2 -> int2: {B}; int2 & fact1 -> int3: ({D} & ¬{C}); [assump1] & int3 -> hypothesis;"
] | ãŽã«ãŽãLv.5äºä»¶ãèµ·ãã | {GO} | [] | 6 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æç·©ããšããããšã¯ãæ¹æ£ããããšãçºçããäžæ¹ã§æãæ²ããããšã¯èµ·ããªãããšããããšã«ç¹ãã fact2: ããä»®ã«ãç§ããããšããããšã¯çããªããããã«éè²ãæããšããããšã¯çããªãããšããããšã¯æãç«ããªããªãæç·©ããšããããšãèµ·ãã fact3: æç·©ããšããããšã¯çºçããªããšããããŽã«ãŽãLv.5äºä»¶ãšããããLv.61äºä»¶äž¡æ¹ãçãã fact4: ä»®ã«ããããLv.61äºä»¶ãèµ·ãããšããã°ãç§ããããšããããšã¯çããªããæŽã«éè²ãæããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ãããããLv.61äºä»¶ã¯ãæ¹æ£ããããšã¯çºçãããæãæ²ããããšã¯èµ·ãããªãããšããããšãåŒãèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããããLv.61äºä»¶ãèµ·ãã; fact4 & assump1 -> int1: ããç§ããããšããããšã¯èµ·ãããªããŠããŸãã«éè²ãæããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã; int1 & fact2 -> int2: æç·©ããšããããšãèµ·ãã; int2 & fact1 -> int3: æ¹æ£ããããšãèµ·ããäžæ¹ã§æãæ²ããããšã¯çºçããªã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> ({D} & ¬{C}) fact2: ¬(¬{AA} & ¬{AB}) -> {B} fact3: ¬{B} -> ({GO} & {A}) fact4: {A} -> ¬(¬{AA} & ¬{AB}) ; $hypothesis$ = ¬({A} -> ({D} & ¬{C})) ; $proof$ = | void -> assump1: {A}; fact4 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact2 -> int2: {B}; int2 & fact1 -> int3: ({D} & ¬{C}); [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã®ãŸãLv.3ã¯ç·ã®åããã | {C}{a} | fact1: ãã®ãŸã®ãŸãLv.3ã¯çæã fact2: ããã®ã¿ãã¿ã®Lv.14ã¯çŠãèããªãããšããããšã¯æãç«ãŠã°ãã®ã¿ãã¿ã®Lv.14ã¯ç·ã®åããããå ããŠçæã fact3: ãã®ãŸã®ãŸãLv.3ã¯çŠãèã fact4: ãããããã®ãŸã®ãŸãLv.3ã¯çæããçŠãèãããšããããšã¯æ£ãããšãããšç·ã®åããããšããããšã¯ãªã | fact1: {A}{a} fact2: ¬{B}{gc} -> ({C}{gc} & {A}{gc}) fact3: {B}{a} fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} | [
"fact1 & fact3 -> int1: ãã®ãŸã®ãŸãLv.3ã¯çæãããããçŠãèã; int1 & fact4 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis;"
] | ãã®ã¿ãã¿ã®Lv.14ã¯ç·ã®åããã | {C}{gc} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã®ãŸãLv.3ã¯çæã fact2: ããã®ã¿ãã¿ã®Lv.14ã¯çŠãèããªãããšããããšã¯æãç«ãŠã°ãã®ã¿ãã¿ã®Lv.14ã¯ç·ã®åããããå ããŠçæã fact3: ãã®ãŸã®ãŸãLv.3ã¯çŠãèã fact4: ãããããã®ãŸã®ãŸãLv.3ã¯çæããçŠãèãããšããããšã¯æ£ãããšãããšç·ã®åããããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŸã®ãŸãLv.3ã¯ç·ã®åããã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãŸã®ãŸãLv.3ã¯çæãããããçŠãèã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{B}{gc} -> ({C}{gc} & {A}{gc}) fact3: {B}{a} fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | fact1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãããããåŒçšããã°ãè¿·ãé£ããªããã©èãèŸãããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ãšç°ãªã | ¬((Ex): {A}x -> ¬(¬{AA}x & {AB}x)) | fact1: ããä»®ã«ãã®ãœã¡ã
ãœãªLv.52ã¯åŒçšãããšãããããã®ãœã¡ã
ãœãªLv.52ã¯è¿·ãé£ããªãäžæ¹ã§èãèŸãããšããããšã¯åœã | fact1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãœã¡ã
ãœãªLv.52ã¯åŒçšãããšãããããã®ãœã¡ã
ãœãªLv.52ã¯è¿·ãé£ããªãäžæ¹ã§èãèŸãããšããããšã¯åœã ; $hypothesis$ = ãããããåŒçšããã°ãè¿·ãé£ããªããã©èãèŸãããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = ¬((Ex): {A}x -> ¬(¬{AA}x & {AB}x)) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœã«Lv.82ã¯ããããšããããšã¯ãªã | ¬{A}{b} | fact1: ãã®ãã«ããLv.20ã¯è²Žæ¹ããããªã fact2: ããã®ãã«ããLv.20ã¯ç¢ºèªãæããæèãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ãã®ãã«ããLv.20ã確èªãæããªãã°ãã®ãã«ããLv.20ã¯è²Žæ¹ããã fact4: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ±èããšããããšã¯ãªããã©ç¢ºèªãæãããšããããšã¯äºå®ã§ããããšããããšã¯ééãã§ãããšããããããã¯èŠãæãããšããããšã¯äºå®ã§ãã fact5: ããä»®ã«ãã®ãã«ããLv.20ã確èªãæããªããæèããªããã®ãœããœã«Lv.82ã¯ããã fact6: ä»®ã«ãããã®ãã«ããLv.20ã¯ç¢ºèªãæããšããããšã¯ãªãããããæèãããšããããšã¯åœã ããšããããšã¯æ¬åœã§ãããšãããšè²Žæ¹ããã | fact1: ¬{B}{a} fact2: ¬({AA}{a} & {AB}{a}) fact3: {AA}{a} -> {B}{a} fact4: (x): ¬(¬{FK}x & {AA}x) -> {FL}x fact5: (¬{AA}{a} & {AB}{a}) -> {A}{b} fact6: ¬(¬{AA}{a} & {AB}{a}) -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãã«ããLv.20ã¯ç¢ºèªãæããªãäžæ¹ã§æèãããšããããšã¯èª€ã£ãŠãã; fact6 & assump1 -> int1: ãã®ãã«ããLv.20ã¯è²Žæ¹ããã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãã«ããLv.20ã¯ç¢ºèªãæããªãäžæ¹ã§æèã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact6 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} & {AB}{a}); int3 & fact5 -> hypothesis;"
] | ä»®ã«ããã®ãŸããŸãLv.34ã¯æ±èããªãäžæ¹ã§ããã¯ç¢ºèªãæãããšããããšã¯èª€ã£ãŠãããšããã°ãã®ãŸããŸãLv.34ã¯èŠãæã | ¬(¬{FK}{iu} & {AA}{iu}) -> {FL}{iu} | [
"fact7 -> hypothesis;"
] | 1 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ãã®ãã«ããLv.20ã¯è²Žæ¹ããããªã fact2: ããã®ãã«ããLv.20ã¯ç¢ºèªãæããæèãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ãã®ãã«ããLv.20ã確èªãæããªãã°ãã®ãã«ããLv.20ã¯è²Žæ¹ããã fact4: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ±èããšããããšã¯ãªããã©ç¢ºèªãæãããšããããšã¯äºå®ã§ããããšããããšã¯ééãã§ãããšããããããã¯èŠãæãããšããããšã¯äºå®ã§ãã fact5: ããä»®ã«ãã®ãã«ããLv.20ã確èªãæããªããæèããªããã®ãœããœã«Lv.82ã¯ããã fact6: ä»®ã«ãããã®ãã«ããLv.20ã¯ç¢ºèªãæããšããããšã¯ãªãããããæèãããšããããšã¯åœã ããšããããšã¯æ¬åœã§ãããšãããšè²Žæ¹ããã ; $hypothesis$ = ãã®ãœããœã«Lv.82ã¯ããããšããããšã¯ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãã«ããLv.20ã¯ç¢ºèªãæããªãäžæ¹ã§æèãããšããããšã¯èª€ã£ãŠãã; fact6 & assump1 -> int1: ãã®ãã«ããLv.20ã¯è²Žæ¹ããã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãã«ããLv.20ã¯ç¢ºèªãæããªãäžæ¹ã§æèã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{a} fact2: ¬({AA}{a} & {AB}{a}) fact3: {AA}{a} -> {B}{a} fact4: (x): ¬(¬{FK}x & {AA}x) -> {FL}x fact5: (¬{AA}{a} & {AB}{a}) -> {A}{b} fact6: ¬(¬{AA}{a} & {AB}{a}) -> {B}{a} ; $hypothesis$ = ¬{A}{b} ; $proof$ = | void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact6 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} & {AB}{a}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | éããããšã¯çºçããªã | ¬{E} | fact1: çããšããããšã¯ããªãã«Lv.13äºä»¶ã¯èµ·ããªããšããããšã«ãããããã fact2: ãããŽããŽãLv.16äºä»¶ãèµ·ãããçãããšããããšã¯çããªããšãããšãããªãã«Lv.13äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ fact3: éãããšããããšã¯èµ·ãããªã fact4: æããæããšããããšãèµ·ãããšããããšã¯çããšããããšã«ããçãã fact5: ãæããæããšããããšãçãããéãããšããããšã¯çããªãããšããããšã¯éããããšãé»ã fact6: çãããšããããšã¯èµ·ããªã fact7: ãŽããŽãLv.16äºä»¶ãèµ·ããäžæ¹ã§çãããšããããšã¯èµ·ãããªã | fact1: ¬{B} -> {A} fact2: ({AA} & ¬{AB}) -> ¬{B} fact3: ¬{D} fact4: {A} -> {C} fact5: ({C} & ¬{D}) -> ¬{E} fact6: ¬{AB} fact7: ({AA} & ¬{AB}) | [
"fact2 & fact7 -> int1: ããªãã«Lv.13äºä»¶ã¯çºçããªã; int1 & fact1 -> int2: çããšããããšãèµ·ãã; int2 & fact4 -> int3: æããæããšããããšãçºçãã; int3 & fact3 -> int4: æããæããšããããšãèµ·ããããããéãããšããããšã¯èµ·ãããªã; int4 & fact5 -> hypothesis;"
] | [
"fact2 & fact7 -> int1: ¬{B}; int1 & fact1 -> int2: {A}; int2 & fact4 -> int3: {C}; int3 & fact3 -> int4: ({C} & ¬{D}); int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: çããšããããšã¯ããªãã«Lv.13äºä»¶ã¯èµ·ããªããšããããšã«ãããããã fact2: ãããŽããŽãLv.16äºä»¶ãèµ·ãããçãããšããããšã¯çããªããšãããšãããªãã«Lv.13äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ fact3: éãããšããããšã¯èµ·ãããªã fact4: æããæããšããããšãèµ·ãããšããããšã¯çããšããããšã«ããçãã fact5: ãæããæããšããããšãçãããéãããšããããšã¯çããªãããšããããšã¯éããããšãé»ã fact6: çãããšããããšã¯èµ·ããªã fact7: ãŽããŽãLv.16äºä»¶ãèµ·ããäžæ¹ã§çãããšããããšã¯èµ·ãããªã ; $hypothesis$ = éããããšã¯çºçããªã ; $proof$ = | fact2 & fact7 -> int1: ããªãã«Lv.13äºä»¶ã¯çºçããªã; int1 & fact1 -> int2: çããšããããšãèµ·ãã; int2 & fact4 -> int3: æããæããšããããšãçºçãã; int3 & fact3 -> int4: æããæããšããããšãèµ·ããããããéãããšããããšã¯èµ·ãããªã; int4 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> {A} fact2: ({AA} & ¬{AB}) -> ¬{B} fact3: ¬{D} fact4: {A} -> {C} fact5: ({C} & ¬{D}) -> ¬{E} fact6: ¬{AB} fact7: ({AA} & ¬{AB}) ; $hypothesis$ = ¬{E} ; $proof$ = | fact2 & fact7 -> int1: ¬{B}; int1 & fact1 -> int2: {A}; int2 & fact4 -> int3: {C}; int3 & fact3 -> int4: ({C} & ¬{D}); int4 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããŽããŽã«ãLv.16äºä»¶ãçãããããã䜿çšãæããšããããšã¯çããªãããšããããšã¯æãç«ããªã | ¬({C} & ¬{A}) | fact1: ããŸããŸãLv.56äºä»¶ãèµ·ããããšããããšã¯äœ¿çšãæããšããããšãèµ·ãããšããããšã«é»ãŸãã fact2: ãŽããŽã«ãLv.16äºä»¶ãçãã fact3: ãŸããŸãLv.56äºä»¶ãèµ·ãã | fact1: {A} -> ¬{B} fact2: {C} fact3: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããã䜿çšãæããšããããšãèµ·ãã; fact1 & assump1 -> int1: ãŸããŸãLv.56äºä»¶ã¯çºçããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã䜿çšãæããšããããšã¯çããªãããšããããšã¯ç¢ºãã§ãã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact1 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããŸããŸãLv.56äºä»¶ãèµ·ããããšããããšã¯äœ¿çšãæããšããããšãèµ·ãããšããããšã«é»ãŸãã fact2: ãŽããŽã«ãLv.16äºä»¶ãçãã fact3: ãŸããŸãLv.56äºä»¶ãèµ·ãã ; $hypothesis$ = ããŽããŽã«ãLv.16äºä»¶ãçãããããã䜿çšãæããšããããšã¯çããªãããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããã䜿çšãæããšããããšãèµ·ãã; fact1 & assump1 -> int1: ãŸããŸãLv.56äºä»¶ã¯çºçããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã䜿çšãæããšããããšã¯çããªãããšããããšã¯ç¢ºãã§ãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> ¬{B} fact2: {C} fact3: {B} ; $hypothesis$ = ¬({C} & ¬{A}) ; $proof$ = | void -> assump1: {A}; fact1 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãœããœã¡ã
Lv.7äºä»¶ãçãã | {G} | fact1: è«äºããããšãèµ·ãã fact2: èªã¿èŸããšããããšãšã¿ã®ã¿ãLv.45äºä»¶äž¡æ¹ãšããçºçãã fact3: ãåãæããæããšããããšã¯çããªãããšããããšã¯ããããã«ã
Lv.14äºä»¶ãèµ·ãããããã«ã·ã«ã
ã·ã®Lv.60äºä»¶ãèµ·ããããšããããšãå¥æ©ã fact4: ãã¿ã®ã¿ã«ã
Lv.23äºä»¶ãçºçããªãããã©æº¶ãé£ããšããããšã¯çºçããããšããããšã¯æãç«ããªããšããã°ã·ãã·ãLv.92äºä»¶ãèµ·ãã fact5: ããä»®ã«ã¿ã®ã¿ãLv.45äºä»¶ãçºçãããªããã¿ã®ã¿ã«ã
Lv.23äºä»¶ã§ã¯ãªããŠæº¶ãé£ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact6: ãœããœã¡ã
Lv.7äºä»¶ãèµ·ãããªããšããããšã¯ã·ãã·ãLv.92äºä»¶ããã³è«äºããããšã¯çºçããããã£ããã§ãã | fact1: {F} fact2: ({A} & {B}) fact3: ({IF} & {GL}) -> ¬{AM} fact4: ¬(¬{C} & {D}) -> {E} fact5: {B} -> ¬(¬{C} & {D}) fact6: ({E} & {F}) -> ¬{G} | [
"fact2 -> int1: ã¿ã®ã¿ãLv.45äºä»¶ãçºçãã; int1 & fact5 -> int2: ãã¿ã®ã¿ã«ã
Lv.23äºä»¶ã¯èµ·ããªãã溶ãé£ããšããããšãçããããšããããšã¯åœã ; int2 & fact4 -> int3: ã·ãã·ãLv.92äºä»¶ãçãã; int3 & fact1 -> int4: ã·ãã·ãLv.92äºä»¶ãèµ·ãããè«äºããããšãèµ·ãã; int4 & fact6 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact5 -> int2: ¬(¬{C} & {D}); int2 & fact4 -> int3: {E}; int3 & fact1 -> int4: ({E} & {F}); int4 & fact6 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: è«äºããããšãèµ·ãã fact2: èªã¿èŸããšããããšãšã¿ã®ã¿ãLv.45äºä»¶äž¡æ¹ãšããçºçãã fact3: ãåãæããæããšããããšã¯çããªãããšããããšã¯ããããã«ã
Lv.14äºä»¶ãèµ·ãããããã«ã·ã«ã
ã·ã®Lv.60äºä»¶ãèµ·ããããšããããšãå¥æ©ã fact4: ãã¿ã®ã¿ã«ã
Lv.23äºä»¶ãçºçããªãããã©æº¶ãé£ããšããããšã¯çºçããããšããããšã¯æãç«ããªããšããã°ã·ãã·ãLv.92äºä»¶ãèµ·ãã fact5: ããä»®ã«ã¿ã®ã¿ãLv.45äºä»¶ãçºçãããªããã¿ã®ã¿ã«ã
Lv.23äºä»¶ã§ã¯ãªããŠæº¶ãé£ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact6: ãœããœã¡ã
Lv.7äºä»¶ãèµ·ãããªããšããããšã¯ã·ãã·ãLv.92äºä»¶ããã³è«äºããããšã¯çºçããããã£ããã§ãã ; $hypothesis$ = ãœããœã¡ã
Lv.7äºä»¶ãçãã ; $proof$ = | fact2 -> int1: ã¿ã®ã¿ãLv.45äºä»¶ãçºçãã; int1 & fact5 -> int2: ãã¿ã®ã¿ã«ã
Lv.23äºä»¶ã¯èµ·ããªãã溶ãé£ããšããããšãçããããšããããšã¯åœã ; int2 & fact4 -> int3: ã·ãã·ãLv.92äºä»¶ãçãã; int3 & fact1 -> int4: ã·ãã·ãLv.92äºä»¶ãèµ·ãããè«äºããããšãèµ·ãã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F} fact2: ({A} & {B}) fact3: ({IF} & {GL}) -> ¬{AM} fact4: ¬(¬{C} & {D}) -> {E} fact5: {B} -> ¬(¬{C} & {D}) fact6: ({E} & {F}) -> ¬{G} ; $hypothesis$ = {G} ; $proof$ = | fact2 -> int1: {B}; int1 & fact5 -> int2: ¬(¬{C} & {D}); int2 & fact4 -> int3: {E}; int3 & fact1 -> int4: ({E} & {F}); int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ã
ãŽãLv.94ã¯ååãããæ¯èŠãããªã | ({B}{b} & ¬{C}{b}) | fact1: ããããã®ãŽã¡ã
ãŽãLv.94ã¯ç¿çããããããããã¯ååãããªãããšããããšã¯åã§ããããšããããšã¯çå®ã ãšããããã®ãŸããŸã«ã
Lv.99ã¯ç¿çããããšããããšã¯ééã£ãŠããªã fact2: ãã®ãŸããŸã«ã
Lv.99ãé»è²ããšããããšã¯ãªããããããããŒããªããã®ãŽã¡ã
ãŽãLv.94ã¯ååãã fact3: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.94ãååãããšãããããã¯ååãããããã«æ¯èŠãããšããããšã¯ãªã fact4: ãã®ãŸããŸã«ã
Lv.99ã¯é»è²ããšããããšã¯ãªãããããŒã fact5: ãã®ãããã«Lv.21ã¯å«ããããªãããããå¿è匷ã fact6: ããã®ãŸããŸã«ã
Lv.99ã¯é»è²ããªãããšããããšã¯æãç«ã€ fact7: ä»®ã«ãã®ãŸããŸã«ã
Lv.99ãé»è²ããŠããã«ãããŒããšãããšãã®ãŽã¡ã
ãŽãLv.94ã¯ååãã | fact1: ¬({P}{b} & ¬{B}{b}) -> {P}{a} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: {B}{b} -> ({B}{b} & ¬{C}{b}) fact4: (¬{AA}{a} & {AB}{a}) fact5: (¬{DG}{ag} & {JG}{ag}) fact6: ¬{AA}{a} fact7: ({AA}{a} & {AB}{a}) -> {B}{b} | [
"fact2 & fact4 -> int1: ãã®ãŽã¡ã
ãŽãLv.94ã¯ååãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}{b}; int1 & fact3 -> hypothesis;"
] | ãã®ãŸããŸã«ã
Lv.99ã¯ç¿çãããããã¯åéããªã | ({P}{a} & ¬{JA}{a}) | [] | 3 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŽã¡ã
ãŽãLv.94ã¯ç¿çããããããããã¯ååãããªãããšããããšã¯åã§ããããšããããšã¯çå®ã ãšããããã®ãŸããŸã«ã
Lv.99ã¯ç¿çããããšããããšã¯ééã£ãŠããªã fact2: ãã®ãŸããŸã«ã
Lv.99ãé»è²ããšããããšã¯ãªããããããããŒããªããã®ãŽã¡ã
ãŽãLv.94ã¯ååãã fact3: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.94ãååãããšãããããã¯ååãããããã«æ¯èŠãããšããããšã¯ãªã fact4: ãã®ãŸããŸã«ã
Lv.99ã¯é»è²ããšããããšã¯ãªãããããŒã fact5: ãã®ãããã«Lv.21ã¯å«ããããªãããããå¿è匷ã fact6: ããã®ãŸããŸã«ã
Lv.99ã¯é»è²ããªãããšããããšã¯æãç«ã€ fact7: ä»®ã«ãã®ãŸããŸã«ã
Lv.99ãé»è²ããŠããã«ãããŒããšãããšãã®ãŽã¡ã
ãŽãLv.94ã¯ååãã ; $hypothesis$ = ãã®ãŽã¡ã
ãŽãLv.94ã¯ååãããæ¯èŠãããªã ; $proof$ = | fact2 & fact4 -> int1: ãã®ãŽã¡ã
ãŽãLv.94ã¯ååãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({P}{b} & ¬{B}{b}) -> {P}{a} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: {B}{b} -> ({B}{b} & ¬{C}{b}) fact4: (¬{AA}{a} & {AB}{a}) fact5: (¬{DG}{ag} & {JG}{ag}) fact6: ¬{AA}{a} fact7: ({AA}{a} & {AB}{a}) -> {B}{b} ; $hypothesis$ = ({B}{b} & ¬{C}{b}) ; $proof$ = | fact2 & fact4 -> int1: {B}{b}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.94ã¯æ¯ãåãããããã倧人ã£ãœããªã | ({AA}{aa} & ¬{AB}{aa}) | fact1: ããããšããã¢ã³ã¹ã¿ãŒã¯ç©ãããªããªãã°ãããã¯æœã£ããããã€å€å¥ãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact2: ãã®ã¿ãã¿ãLv.94ã¯éã³æããªã fact3: ããã®ã¿ãã¿ãLv.94ã¯ç©ããããã®äžéã³æãããšããããšã¯åã§ãã fact4: ããã®ãœã«ãœãLv.13ã¯å¿èš±ãªããŠãã€ããã¯éã³æãããšããããšã¯èª€ãã§ãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯éã³æããªããªãã°ãæ¯ãåããããŸã倧人ã£ãœããªãããšããããšã¯æãç«ããªã fact6: ããä»®ã«ãã®ã¿ãã¿ãLv.94ã¯ä»®çŽä»ããªããšãããããã®ã¿ãã¿ãLv.94ã¯èŠããããã€äºæž¬ãæãããšããããšã¯æãç«ããªã fact7: ãã®ãŽããŽã«ã
Lv.44ã¯éã³æã | fact1: (x): ¬{BR}x -> ¬({AJ}x & ¬{AL}x) fact2: ¬{A}{aa} fact3: ¬({BR}{aa} & {A}{aa}) fact4: ¬({ER}{ed} & {A}{ed}) fact5: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact6: ¬{FQ}{aa} -> ¬({C}{aa} & {E}{aa}) fact7: {A}{b} | [
"fact5 -> int1: ä»®ã«ããã®ã¿ãã¿ãLv.94ã¯éã³æããšããããšã¯ãªãããšããããšã¯æãç«ã€ãªããæ¯ãåãããããã倧人ã£ãœããšããããšã¯ãªãããšããããšã¯èª€ãã ; int1 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact2 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.94ã¯æ¯ãåãããããã倧人ã£ãœããªã | ({AA}{aa} & ¬{AB}{aa}) | [
"fact8 -> int2: ãéã³æããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 3 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããšããã¢ã³ã¹ã¿ãŒã¯ç©ãããªããªãã°ãããã¯æœã£ããããã€å€å¥ãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact2: ãã®ã¿ãã¿ãLv.94ã¯éã³æããªã fact3: ããã®ã¿ãã¿ãLv.94ã¯ç©ããããã®äžéã³æãããšããããšã¯åã§ãã fact4: ããã®ãœã«ãœãLv.13ã¯å¿èš±ãªããŠãã€ããã¯éã³æãããšããããšã¯èª€ãã§ãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯éã³æããªããªãã°ãæ¯ãåããããŸã倧人ã£ãœããªãããšããããšã¯æãç«ããªã fact6: ããä»®ã«ãã®ã¿ãã¿ãLv.94ã¯ä»®çŽä»ããªããšãããããã®ã¿ãã¿ãLv.94ã¯èŠããããã€äºæž¬ãæãããšããããšã¯æãç«ããªã fact7: ãã®ãŽããŽã«ã
Lv.44ã¯éã³æã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.94ã¯æ¯ãåãããããã倧人ã£ãœããªã ; $proof$ = | fact5 -> int1: ä»®ã«ããã®ã¿ãã¿ãLv.94ã¯éã³æããšããããšã¯ãªãããšããããšã¯æãç«ã€ãªããæ¯ãåãããããã倧人ã£ãœããšããããšã¯ãªãããšããããšã¯èª€ãã ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{BR}x -> ¬({AJ}x & ¬{AL}x) fact2: ¬{A}{aa} fact3: ¬({BR}{aa} & {A}{aa}) fact4: ¬({ER}{ed} & {A}{ed}) fact5: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact6: ¬{FQ}{aa} -> ¬({C}{aa} & {E}{aa}) fact7: {A}{b} ; $hypothesis$ = ({AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact5 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœã«Lv.62ã¯æ·ã¿ç¡ã | {E}{d} | fact1: ãããã®ã·ã¡ã
ã·ãªLv.95ãæåããªããŠãããå
¥æãæããªããšãããšãã®ãŽã¡ã
ãŽãLv.61ã¯æ¯èŒãé£ã fact2: ãã®ãã«ãããLv.29ã¯æ·ã¿ç¡ã fact3: ããã®ãŽã¡ã
ãŽãLv.61ã¯èŠäº€ããããšããããšã¯çå®ã fact4: ãã®ã·ã¡ã
ã·ãªLv.95ã¯é¬±é¶ãããªã fact5: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.61ãæ¯èŒãé£ãããããã¯ãããäŸé€ãããªããã®ãã¡ãããLv.35ã¯ä»°ã
ãããªã fact6: ãã®ã·ã¡ã
ã·ãªLv.95ã¯å
¥æãæããªã fact7: ããã®ãŽã¡ã
ãŽãLv.61ã¯äŸé€ããªããŠããŸãã«ããã¯æ·¡ããªãããšããããšã¯äºå®ã§ãã fact8: ãã®ã·ã¡ã
ã·ãªLv.95ã¯æåããªãããããå
¥æãæããªã fact9: ãã®ãã¡ãããLv.35ã¯å«å³ã£ãããããªã fact10: ãã®ãã¡ãããLv.35ãä»°ã
ãããªããŠå ããŠå«å³ã£ãããããªããšããã°ãã®ãœããœã«Lv.62ã¯æ·ã¿ç¡ããªã | fact1: (¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {E}{jb} fact3: {DP}{b} fact4: ¬{IK}{a} fact5: ({B}{b} v {A}{b}) -> ¬{C}{c} fact6: ¬{AB}{a} fact7: (¬{A}{b} & ¬{DT}{b}) fact8: (¬{AA}{a} & ¬{AB}{a}) fact9: ¬{D}{c} fact10: (¬{C}{c} & ¬{D}{c}) -> ¬{E}{d} | [
"fact1 & fact8 -> int1: ããã®ãŽã¡ã
ãŽãLv.61ã¯æ¯èŒãé£ãããšããããšã¯äºå®ã§ãã; int1 -> int2: ãã®ãŽã¡ã
ãŽãLv.61ã¯æ¯èŒãé£ãããããã¯äŸé€ããããŸãã¯äž¡æ¹ã§ãã; int2 & fact5 -> int3: ãã®ãã¡ãããLv.35ã¯ä»°ã
ãããªã; int3 & fact9 -> int4: ãã®ãã¡ãããLv.35ã¯ä»°ã
ãããšããããšã¯ãªããŠå«å³ã£ãããããªã; int4 & fact10 -> hypothesis;"
] | [
"fact1 & fact8 -> int1: {B}{b}; int1 -> int2: ({B}{b} v {A}{b}); int2 & fact5 -> int3: ¬{C}{c}; int3 & fact9 -> int4: (¬{C}{c} & ¬{D}{c}); int4 & fact10 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã·ã¡ã
ã·ãªLv.95ãæåããªããŠãããå
¥æãæããªããšãããšãã®ãŽã¡ã
ãŽãLv.61ã¯æ¯èŒãé£ã fact2: ãã®ãã«ãããLv.29ã¯æ·ã¿ç¡ã fact3: ããã®ãŽã¡ã
ãŽãLv.61ã¯èŠäº€ããããšããããšã¯çå®ã fact4: ãã®ã·ã¡ã
ã·ãªLv.95ã¯é¬±é¶ãããªã fact5: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.61ãæ¯èŒãé£ãããããã¯ãããäŸé€ãããªããã®ãã¡ãããLv.35ã¯ä»°ã
ãããªã fact6: ãã®ã·ã¡ã
ã·ãªLv.95ã¯å
¥æãæããªã fact7: ããã®ãŽã¡ã
ãŽãLv.61ã¯äŸé€ããªããŠããŸãã«ããã¯æ·¡ããªãããšããããšã¯äºå®ã§ãã fact8: ãã®ã·ã¡ã
ã·ãªLv.95ã¯æåããªãããããå
¥æãæããªã fact9: ãã®ãã¡ãããLv.35ã¯å«å³ã£ãããããªã fact10: ãã®ãã¡ãããLv.35ãä»°ã
ãããªããŠå ããŠå«å³ã£ãããããªããšããã°ãã®ãœããœã«Lv.62ã¯æ·ã¿ç¡ããªã ; $hypothesis$ = ãã®ãœããœã«Lv.62ã¯æ·ã¿ç¡ã ; $proof$ = | fact1 & fact8 -> int1: ããã®ãŽã¡ã
ãŽãLv.61ã¯æ¯èŒãé£ãããšããããšã¯äºå®ã§ãã; int1 -> int2: ãã®ãŽã¡ã
ãŽãLv.61ã¯æ¯èŒãé£ãããããã¯äŸé€ããããŸãã¯äž¡æ¹ã§ãã; int2 & fact5 -> int3: ãã®ãã¡ãããLv.35ã¯ä»°ã
ãããªã; int3 & fact9 -> int4: ãã®ãã¡ãããLv.35ã¯ä»°ã
ãããšããããšã¯ãªããŠå«å³ã£ãããããªã; int4 & fact10 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {E}{jb} fact3: {DP}{b} fact4: ¬{IK}{a} fact5: ({B}{b} v {A}{b}) -> ¬{C}{c} fact6: ¬{AB}{a} fact7: (¬{A}{b} & ¬{DT}{b}) fact8: (¬{AA}{a} & ¬{AB}{a}) fact9: ¬{D}{c} fact10: (¬{C}{c} & ¬{D}{c}) -> ¬{E}{d} ; $hypothesis$ = {E}{d} ; $proof$ = | fact1 & fact8 -> int1: {B}{b}; int1 -> int2: ({B}{b} v {A}{b}); int2 & fact5 -> int3: ¬{C}{c}; int3 & fact9 -> int4: (¬{C}{c} & ¬{D}{c}); int4 & fact10 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãããã®Lv.66ã¯å¿ããªãããããã¯åŸããã©ã¡ããã ããšããããšã¯èª€ã£ãŠãã | ¬({B}{a} v {A}{a}) | fact1: ãã®ãããã®Lv.66ã¯åŸã fact2: ãã©ã³ãããããªãããããã¯æ«æãããããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯ãã©ã³ãããããªã fact3: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒããã©ã³ãããããšããããšã¯ãªããšããã°å¿ããªããæŽã«åŸã fact4: ä»®ã«ãã®ãããã®Lv.66ãæ±ãåãããšãããããã¯ãã©ã³ãããããšããããšã¯ãªãããããã¯ããã¯æ«æãããããŸãã¯äž¡æ¹ãšãã | fact1: {A}{a} fact2: (x): (¬{C}x v {D}x) -> ¬{C}x fact3: (x): ¬{C}x -> ({B}x & {A}x) fact4: {E}{a} -> (¬{C}{a} v {D}{a}) | [
"fact1 -> int1: ãã®ãããã®Lv.66ã¯åŸã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 -> hypothesis;"
] | ãã®ãããã®Lv.66ã¯å¿ããªãããããã¯æ
ãã ããããããã¯ã©ã¡ããã | ({B}{a} v {AF}{a}) | [
"fact5 -> int2: ããä»®ã«ãã®ãããã®Lv.66ããã©ã³ãããããªããªãããã¯å¿ããªãããããããã¯åŸã; fact6 -> int3: ãã®ãããã®Lv.66ã¯ãã©ã³ãããããªãããããã¯æ«æãããããŸãã¯äž¡æ¹ãšãã§ãããšããã°ããã©ã³ãããããªãããšããããšã¯çå®ã§ãã;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãããã®Lv.66ã¯åŸã fact2: ãã©ã³ãããããªãããããã¯æ«æãããããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯ãã©ã³ãããããªã fact3: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒããã©ã³ãããããšããããšã¯ãªããšããã°å¿ããªããæŽã«åŸã fact4: ä»®ã«ãã®ãããã®Lv.66ãæ±ãåãããšãããããã¯ãã©ã³ãããããšããããšã¯ãªãããããã¯ããã¯æ«æãããããŸãã¯äž¡æ¹ãšãã ; $hypothesis$ = ããã®ãããã®Lv.66ã¯å¿ããªãããããã¯åŸããã©ã¡ããã ããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact1 -> int1: ãã®ãããã®Lv.66ã¯åŸã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: (x): (¬{C}x v {D}x) -> ¬{C}x fact3: (x): ¬{C}x -> ({B}x & {A}x) fact4: {E}{a} -> (¬{C}{a} v {D}{a}) ; $hypothesis$ = ¬({B}{a} v {A}{a}) ; $proof$ = | fact1 -> int1: {A}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ããä»®ã«ãã®ãŽããŽãLv.10ã¯æãé£ããªãã°ãããã®ã·ãã·ãLv.86ã¯éŠãããšããããšã¯ãªãããŸãã¯æ¥æããªãããããã¯ã©ã¡ããã§ããããšããããšã¯ç¢ºãã ããšããããšã¯ééã£ãŠãã | {A}{a} -> ¬(¬{C}{c} v ¬{D}{c}) | fact1: ãã®ã·ãã·ãLv.86ã¯æ¥æã fact2: ããä»®ã«ããã®ãã¡ã
ããLv.30ã¯æãããããšããããšã¯çå®ã§ãããšãããããã®ã·ãã·ãLv.86ã¯éŠãããªããããã¯æ¥æããªãããããã¯äž¡æ¹ã§ããããšããããšã¯äºå®ãšç°ãªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.86ãæ¥æããªããã®ãŽããŽãLv.10ã¯æãé£ããªãããããã¯éŠãããªã fact4: ããããã®ãã¡ã
ããLv.30ã¯æããããšãããšããã®ã·ãã·ãLv.86ã¯éŠãããæ¥æããªããã©ã¡ããã ããšããããšã¯æãç«ããªã fact5: ãããã®ãŽããŽãLv.10ãæãé£ããšããããã®ãã¡ã
ããLv.30ã¯æããã | fact1: {D}{c} fact2: {B}{b} -> ¬(¬{C}{c} v ¬{D}{c}) fact3: {D}{c} -> (¬{A}{a} v ¬{C}{a}) fact4: {B}{b} -> ¬({C}{c} v ¬{D}{c}) fact5: {A}{a} -> {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.10ã¯æãé£ã; fact5 & assump1 -> int1: ãã®ãã¡ã
ããLv.30ã¯æããã; int1 & fact2 -> int2: ããã®ã·ãã·ãLv.86ã¯éŠãããªãããŸãã¯æ¥æããªãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: ¬(¬{C}{c} v ¬{D}{c}); [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ãã·ãLv.86ã¯æ¥æã fact2: ããä»®ã«ããã®ãã¡ã
ããLv.30ã¯æãããããšããããšã¯çå®ã§ãããšãããããã®ã·ãã·ãLv.86ã¯éŠãããªããããã¯æ¥æããªãããããã¯äž¡æ¹ã§ããããšããããšã¯äºå®ãšç°ãªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.86ãæ¥æããªããã®ãŽããŽãLv.10ã¯æãé£ããªãããããã¯éŠãããªã fact4: ããããã®ãã¡ã
ããLv.30ã¯æããããšãããšããã®ã·ãã·ãLv.86ã¯éŠãããæ¥æããªããã©ã¡ããã ããšããããšã¯æãç«ããªã fact5: ãããã®ãŽããŽãLv.10ãæãé£ããšããããã®ãã¡ã
ããLv.30ã¯æããã ; $hypothesis$ = ããä»®ã«ãã®ãŽããŽãLv.10ã¯æãé£ããªãã°ãããã®ã·ãã·ãLv.86ã¯éŠãããšããããšã¯ãªãããŸãã¯æ¥æããªãããããã¯ã©ã¡ããã§ããããšããããšã¯ç¢ºãã ããšããããšã¯ééã£ãŠãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.10ã¯æãé£ã; fact5 & assump1 -> int1: ãã®ãã¡ã
ããLv.30ã¯æããã; int1 & fact2 -> int2: ããã®ã·ãã·ãLv.86ã¯éŠãããªãããŸãã¯æ¥æããªãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {D}{c} fact2: {B}{b} -> ¬(¬{C}{c} v ¬{D}{c}) fact3: {D}{c} -> (¬{A}{a} v ¬{C}{a}) fact4: {B}{b} -> ¬({C}{c} v ¬{D}{c}) fact5: {A}{a} -> {B}{b} ; $hypothesis$ = {A}{a} -> ¬(¬{C}{c} v ¬{D}{c}) ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: ¬(¬{C}{c} v ¬{D}{c}); [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã¡ããœãLv.44ã¯é£ãããªã | ¬{G}{c} | fact1: ãã®ãã¡ããã®Lv.12ã¯ç®¡çãæããããã¯å䜵ãæã fact2: ä»®ã«ãã®ããããLv.8ã¯äœæããªããªãã°ããã®ãœã¡ããœãLv.44ã¯äœæããªããæãããšããããšã¯èª€ãã fact3: ããããã®ãœã¡ããœãLv.44ã¯äœæãããšããããšã¯ãªãäžæ¹ã§æãããšããããšã¯äºå®ãšç°ãªããšããããã®ãœã¡ããœãLv.44ã¯é£ãã fact4: ä»®ã«ããã®ãã¡ããã®Lv.12ã¯å®ãããã©èžè¥²ããªãããšããããšã¯åœã§ãããªãã°ãã®ããããLv.8ã¯äœæããªã fact5: ããããã®ãã¡ããã®Lv.12ã¯å䜵ãæããšããã°ãããã¯å®ããããã«èžè¥²ããªãããšããããšã¯èª€ã£ãŠãã | fact1: ({A}{a} & {B}{a}) fact2: ¬{E}{b} -> ¬(¬{E}{c} & {F}{c}) fact3: ¬(¬{E}{c} & {F}{c}) -> {G}{c} fact4: ¬({D}{a} & ¬{C}{a}) -> ¬{E}{b} fact5: {B}{a} -> ¬({D}{a} & ¬{C}{a}) | [
"fact1 -> int1: ãã®ãã¡ããã®Lv.12ã¯å䜵ãæã; int1 & fact5 -> int2: ãããã®ãã¡ããã®Lv.12ã¯å®ãããããããã¯èžè¥²ãããšããããšã¯ãªãããšããããšã¯æ¬åœã ããšããããšã¯æãç«ããªã; int2 & fact4 -> int3: ãã®ããããLv.8ã¯äœæããªã; int3 & fact2 -> int4: ããã®ãœã¡ããœãLv.44ã¯äœæããªãããããæãããšããããšã¯ééã£ãŠãã; int4 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact5 -> int2: ¬({D}{a} & ¬{C}{a}); int2 & fact4 -> int3: ¬{E}{b}; int3 & fact2 -> int4: ¬(¬{E}{c} & {F}{c}); int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãã¡ããã®Lv.12ã¯ç®¡çãæããããã¯å䜵ãæã fact2: ä»®ã«ãã®ããããLv.8ã¯äœæããªããªãã°ããã®ãœã¡ããœãLv.44ã¯äœæããªããæãããšããããšã¯èª€ãã fact3: ããããã®ãœã¡ããœãLv.44ã¯äœæãããšããããšã¯ãªãäžæ¹ã§æãããšããããšã¯äºå®ãšç°ãªããšããããã®ãœã¡ããœãLv.44ã¯é£ãã fact4: ä»®ã«ããã®ãã¡ããã®Lv.12ã¯å®ãããã©èžè¥²ããªãããšããããšã¯åœã§ãããªãã°ãã®ããããLv.8ã¯äœæããªã fact5: ããããã®ãã¡ããã®Lv.12ã¯å䜵ãæããšããã°ãããã¯å®ããããã«èžè¥²ããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ãã®ãœã¡ããœãLv.44ã¯é£ãããªã ; $proof$ = | fact1 -> int1: ãã®ãã¡ããã®Lv.12ã¯å䜵ãæã; int1 & fact5 -> int2: ãããã®ãã¡ããã®Lv.12ã¯å®ãããããããã¯èžè¥²ãããšããããšã¯ãªãããšããããšã¯æ¬åœã ããšããããšã¯æãç«ããªã; int2 & fact4 -> int3: ãã®ããããLv.8ã¯äœæããªã; int3 & fact2 -> int4: ããã®ãœã¡ããœãLv.44ã¯äœæããªãããããæãããšããããšã¯ééã£ãŠãã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: ¬{E}{b} -> ¬(¬{E}{c} & {F}{c}) fact3: ¬(¬{E}{c} & {F}{c}) -> {G}{c} fact4: ¬({D}{a} & ¬{C}{a}) -> ¬{E}{b} fact5: {B}{a} -> ¬({D}{a} & ¬{C}{a}) ; $hypothesis$ = ¬{G}{c} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact5 -> int2: ¬({D}{a} & ¬{C}{a}); int2 & fact4 -> int3: ¬{E}{b}; int3 & fact2 -> int4: ¬(¬{E}{c} & {F}{c}); int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽããŽã«Lv.42ã¯æ²žãè¿ããªãããããã¯çŒãé£ããªãããŸãã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãã | ¬(¬{D}{d} v ¬{E}{d}) | fact1: ãã®ãŸããŸã®Lv.37ã¯è¯ããªã fact2: ãã®ãŸãªãŸãLv.34ãèšãåããšããã°ãã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ç滞ããŸãããªãããããã¯çŒãé£ããã©ã¡ããã§ãã fact3: ä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.12ããã£ã€ããšããããã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ç滞ããŸãã fact4: ããããã®ãŸããŸã®Lv.37ã沞ãè¿ããšããããšã¯ãªããçŒãé£ããšãããšãã®ã¿ãã¿ãLv.62ã¯ãã£ã€ããšããããšã¯ãªã fact5: ãããã®ãŸããŸã®Lv.37ãè¯ããªããšããã°ãã®ãŸãªãŸãLv.34ã¯èšãåãããŸãé
èã fact6: ä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.12ãç滞ããŸãããªãã°ãã®ãŽããŽã«Lv.42ã¯æ²žãè¿ããªãããããã¯çŒãé£ããªã fact7: ãã®ãŸããŸã®Lv.37ã¯è¯ããªããšãããšããã®ãŸãªãŸãLv.34ã¯é
èãããšããããšã¯æãç«ã€ fact8: ããããã®ãŸãªãŸãLv.34ãèšãåããšããã°ãã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ãã£ã€ã fact9: ãã®ãŽããŽã«Lv.42ã¯æ²žãè¿ãããããã¯ããã¯çŒãé£ããªãããããã¯ã©ã¡ããã§ãã | fact1: ¬{A}{a} fact2: {AA}{b} -> (¬{C}{c} v {E}{c}) fact3: {B}{c} -> {C}{c} fact4: (¬{D}{a} & {E}{a}) -> ¬{B}{fm} fact5: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact6: {C}{c} -> (¬{D}{d} v ¬{E}{d}) fact7: ¬{A}{a} -> {AB}{b} fact8: {AA}{b} -> {B}{c} fact9: ({D}{d} v ¬{E}{d}) | [
"fact5 & fact1 -> int1: ãã®ãŸãªãŸãLv.34ã¯èšãåããå ããŠããã¯é
èã; int1 -> int2: ãã®ãŸãªãŸãLv.34ã¯èšãåã; int2 & fact8 -> int3: ãã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ãã£ã€ã; int3 & fact3 -> int4: ããã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ç滞ããŸããããšããããšã¯æãç«ã€; int4 & fact6 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: ({AA}{b} & {AB}{b}); int1 -> int2: {AA}{b}; int2 & fact8 -> int3: {B}{c}; int3 & fact3 -> int4: {C}{c}; int4 & fact6 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.62ã¯ç滞ããŸãã | {C}{fm} | [] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸã®Lv.37ã¯è¯ããªã fact2: ãã®ãŸãªãŸãLv.34ãèšãåããšããã°ãã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ç滞ããŸãããªãããããã¯çŒãé£ããã©ã¡ããã§ãã fact3: ä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.12ããã£ã€ããšããããã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ç滞ããŸãã fact4: ããããã®ãŸããŸã®Lv.37ã沞ãè¿ããšããããšã¯ãªããçŒãé£ããšãããšãã®ã¿ãã¿ãLv.62ã¯ãã£ã€ããšããããšã¯ãªã fact5: ãããã®ãŸããŸã®Lv.37ãè¯ããªããšããã°ãã®ãŸãªãŸãLv.34ã¯èšãåãããŸãé
èã fact6: ä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.12ãç滞ããŸãããªãã°ãã®ãŽããŽã«Lv.42ã¯æ²žãè¿ããªãããããã¯çŒãé£ããªã fact7: ãã®ãŸããŸã®Lv.37ã¯è¯ããªããšãããšããã®ãŸãªãŸãLv.34ã¯é
èãããšããããšã¯æãç«ã€ fact8: ããããã®ãŸãªãŸãLv.34ãèšãåããšããã°ãã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ãã£ã€ã fact9: ãã®ãŽããŽã«Lv.42ã¯æ²žãè¿ãããããã¯ããã¯çŒãé£ããªãããããã¯ã©ã¡ããã§ãã ; $hypothesis$ = ããã®ãŽããŽã«Lv.42ã¯æ²žãè¿ããªãããããã¯çŒãé£ããªãããŸãã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact5 & fact1 -> int1: ãã®ãŸãªãŸãLv.34ã¯èšãåããå ããŠããã¯é
èã; int1 -> int2: ãã®ãŸãªãŸãLv.34ã¯èšãåã; int2 & fact8 -> int3: ãã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ãã£ã€ã; int3 & fact3 -> int4: ããã®ãŸã¡ã
ãŸã¡ãLv.12ã¯ç滞ããŸããããšããããšã¯æãç«ã€; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} fact2: {AA}{b} -> (¬{C}{c} v {E}{c}) fact3: {B}{c} -> {C}{c} fact4: (¬{D}{a} & {E}{a}) -> ¬{B}{fm} fact5: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact6: {C}{c} -> (¬{D}{d} v ¬{E}{d}) fact7: ¬{A}{a} -> {AB}{b} fact8: {AA}{b} -> {B}{c} fact9: ({D}{d} v ¬{E}{d}) ; $hypothesis$ = ¬(¬{D}{d} v ¬{E}{d}) ; $proof$ = | fact5 & fact1 -> int1: ({AA}{b} & {AB}{b}); int1 -> int2: {AA}{b}; int2 & fact8 -> int3: {B}{c}; int3 & fact3 -> int4: {C}{c}; int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽã¡ãLv.34ã¯åãæããæãäžæ¹ã§ããã¯èµ€é»ããªã | ({E}{d} & ¬{C}{d}) | fact1: ãã®ã·ã«ã
ã·ãLv.89ã¯æèäŒã£ãœããŠçŸããæã fact2: ä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.21ãè
«ããŒã£ãããšããããšã¯ãªããªãã°ãã®ããããLv.7ã¯èµ€é»ããšããããšã¯ãªã fact3: ä»®ã«ãã®ããããLv.7ã¯èµ€é»ããªããšãããšããã®ãŽã«ããŽã¡ãLv.34ã¯åãæããæãããã©èµ€é»ããªãããšããããšã¯èª€ã£ãŠãã fact4: ãããã®ã·ã«ã
ã·ãLv.89ãæèäŒã£ãœããè
«ããŒã£ãããšãããšãã®ãŽã«ããŽã¡ãLv.34ã¯æèäŒã£ãœããªã fact5: ãããã®ã·ã«ã
ã·ãLv.89ãæèäŒã£ãœããªããã®ã¿ã«ãã¿ã¡ã
Lv.21ã¯è
«ããŒã£ãããªã | fact1: ({A}{a} & {D}{a}) fact2: ¬{B}{b} -> ¬{C}{c} fact3: ¬{C}{c} -> ¬({E}{d} & ¬{C}{d}) fact4: ({A}{a} & {B}{a}) -> ¬{A}{d} fact5: {A}{a} -> ¬{B}{b} | [
"fact1 -> int1: ãã®ã·ã«ã
ã·ãLv.89ã¯æèäŒã£ãœã; fact5 & int1 -> int2: ãã®ã¿ã«ãã¿ã¡ã
Lv.21ã¯è
«ããŒã£ãããªã; int2 & fact2 -> int3: ãã®ããããLv.7ã¯èµ€é»ããªã; int3 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; fact5 & int1 -> int2: ¬{B}{b}; int2 & fact2 -> int3: ¬{C}{c}; int3 & fact3 -> hypothesis;"
] | ãã®ãŽã«ããŽã¡ãLv.34ã¯æèäŒã£ãœããªã | ¬{A}{d} | [] | 5 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã
ã·ãLv.89ã¯æèäŒã£ãœããŠçŸããæã fact2: ä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.21ãè
«ããŒã£ãããšããããšã¯ãªããªãã°ãã®ããããLv.7ã¯èµ€é»ããšããããšã¯ãªã fact3: ä»®ã«ãã®ããããLv.7ã¯èµ€é»ããªããšãããšããã®ãŽã«ããŽã¡ãLv.34ã¯åãæããæãããã©èµ€é»ããªãããšããããšã¯èª€ã£ãŠãã fact4: ãããã®ã·ã«ã
ã·ãLv.89ãæèäŒã£ãœããè
«ããŒã£ãããšãããšãã®ãŽã«ããŽã¡ãLv.34ã¯æèäŒã£ãœããªã fact5: ãããã®ã·ã«ã
ã·ãLv.89ãæèäŒã£ãœããªããã®ã¿ã«ãã¿ã¡ã
Lv.21ã¯è
«ããŒã£ãããªã ; $hypothesis$ = ãã®ãŽã«ããŽã¡ãLv.34ã¯åãæããæãäžæ¹ã§ããã¯èµ€é»ããªã ; $proof$ = | fact1 -> int1: ãã®ã·ã«ã
ã·ãLv.89ã¯æèäŒã£ãœã; fact5 & int1 -> int2: ãã®ã¿ã«ãã¿ã¡ã
Lv.21ã¯è
«ããŒã£ãããªã; int2 & fact2 -> int3: ãã®ããããLv.7ã¯èµ€é»ããªã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {D}{a}) fact2: ¬{B}{b} -> ¬{C}{c} fact3: ¬{C}{c} -> ¬({E}{d} & ¬{C}{d}) fact4: ({A}{a} & {B}{a}) -> ¬{A}{d} fact5: {A}{a} -> ¬{B}{b} ; $hypothesis$ = ({E}{d} & ¬{C}{d}) ; $proof$ = | fact1 -> int1: {A}{a}; fact5 & int1 -> int2: ¬{B}{b}; int2 & fact2 -> int3: ¬{C}{c}; int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.58ã¯ããããªããªããæ©ããªã | (¬{G}{e} & ¬{E}{e}) | fact1: ä»®ã«ãã®ã¿ã«ã
ã¿ã«ãLv.77ãå£ãæããšããããšã¯ãªããšãããšãã®ã¿ãã¿ãLv.75ã¯æ©ãããšããããšã¯ãªã fact2: äœããã®ã¢ã³ã¹ã¿ãŒã¯è¿ä»ãæããªããšããã°ãããããªããªãããããæ©ããªãããšããããšã¯åã§ãã fact3: ä»®ã«ããã®ãŸããŸã¡ãLv.73ã¯åŸéãããäžæ¹ã§å¥³ã®åããããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãã®ãã®ãã¡ãLv.35ã¯èªãã£ãœããšããããšã¯ãªã fact4: ããäœããã®ã¢ã³ã¹ã¿ãŒãåãå³ãããšããã°ããã¯é£æ³ãæããå£ãæããªãããããã¯äž¡æ¹ãšãã fact5: ããããã®ãŸããŸã¡ãLv.73ãèªãã£ãœããšããããã®ããããLv.58ã¯è¿ä»ãæããšããããšã¯ãªã fact6: ããä»®ã«ããã®ãã®ãã¡ãLv.35ã¯è¿ä»ãæããŠé£æ³ãæãããšããããšã¯ééãã§ãããªããã®ã¿ã«ã
ã¿ã«ãLv.77ã¯å£ãæããªã fact7: ãããã®ã¿ãã¿ãLv.75ãæ©ããªããªããã®ããããLv.58ã¯ããããªããšããããšã¯ãªããŠæ©ããªã fact8: ãããã®ãŸããŸã¡ãLv.73ã¯åŸéãããã女ã®åããããªãããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ããªã fact9: ä»®ã«ãã®ãã®ãã¡ãLv.35ã¯èªãã£ãœããªããšããããè¿ä»ãæããããã«é£æ³ãæãããšããããšã¯ééã£ãŠãã | fact1: ¬{D}{c} -> ¬{E}{d} fact2: (x): ¬{A}x -> ¬(¬{G}x & ¬{E}x) fact3: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact4: (x): {F}x -> ({C}x v ¬{D}x) fact5: {B}{a} -> ¬{A}{e} fact6: ¬({A}{b} & {C}{b}) -> ¬{D}{c} fact7: ¬{E}{d} -> (¬{G}{e} & ¬{E}{e}) fact8: ¬({AA}{a} & ¬{AB}{a}) fact9: ¬{B}{b} -> ¬({A}{b} & {C}{b}) | [
"fact3 & fact8 -> int1: ãã®ãã®ãã¡ãLv.35ã¯èªãã£ãœããªã; int1 & fact9 -> int2: ããã®ãã®ãã¡ãLv.35ã¯è¿ä»ãæããé£æ³ãæãããšããããšã¯æãç«ããªã; int2 & fact6 -> int3: ãã®ã¿ã«ã
ã¿ã«ãLv.77ã¯å£ãæããªã; int3 & fact1 -> int4: ãã®ã¿ãã¿ãLv.75ã¯æ©ããªã; int4 & fact7 -> hypothesis;"
] | [
"fact3 & fact8 -> int1: ¬{B}{b}; int1 & fact9 -> int2: ¬({A}{b} & {C}{b}); int2 & fact6 -> int3: ¬{D}{c}; int3 & fact1 -> int4: ¬{E}{d}; int4 & fact7 -> hypothesis;"
] | ããã®ããããLv.58ã¯ããããªããšããããšã¯ãªããæ©ããªãããšããããšã¯æãç«ããªã | ¬(¬{G}{e} & ¬{E}{e}) | [
"fact11 -> int5: ä»®ã«ãã®ããããLv.58ã¯è¿ä»ãæããªããªããããããªããªããããŸãã«ããã¯æ©ããªãããšããããšã¯åã§ãã; fact12 -> int6: ä»®ã«ãã®ãŸããŸã¡ãLv.73ãåãå³ãããšããããã®ãŸããŸã¡ãLv.73ã¯é£æ³ãæãããŸãã¯å£ãæããªãããããã¯äž¡æ¹ãšãã ;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ã«ã
ã¿ã«ãLv.77ãå£ãæããšããããšã¯ãªããšãããšãã®ã¿ãã¿ãLv.75ã¯æ©ãããšããããšã¯ãªã fact2: äœããã®ã¢ã³ã¹ã¿ãŒã¯è¿ä»ãæããªããšããã°ãããããªããªãããããæ©ããªãããšããããšã¯åã§ãã fact3: ä»®ã«ããã®ãŸããŸã¡ãLv.73ã¯åŸéãããäžæ¹ã§å¥³ã®åããããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãã®ãã®ãã¡ãLv.35ã¯èªãã£ãœããšããããšã¯ãªã fact4: ããäœããã®ã¢ã³ã¹ã¿ãŒãåãå³ãããšããã°ããã¯é£æ³ãæããå£ãæããªãããããã¯äž¡æ¹ãšãã fact5: ããããã®ãŸããŸã¡ãLv.73ãèªãã£ãœããšããããã®ããããLv.58ã¯è¿ä»ãæããšããããšã¯ãªã fact6: ããä»®ã«ããã®ãã®ãã¡ãLv.35ã¯è¿ä»ãæããŠé£æ³ãæãããšããããšã¯ééãã§ãããªããã®ã¿ã«ã
ã¿ã«ãLv.77ã¯å£ãæããªã fact7: ãããã®ã¿ãã¿ãLv.75ãæ©ããªããªããã®ããããLv.58ã¯ããããªããšããããšã¯ãªããŠæ©ããªã fact8: ãããã®ãŸããŸã¡ãLv.73ã¯åŸéãããã女ã®åããããªãããšããããšã¯æ¬åœã§ããããšããããšã¯æãç«ããªã fact9: ä»®ã«ãã®ãã®ãã¡ãLv.35ã¯èªãã£ãœããªããšããããè¿ä»ãæããããã«é£æ³ãæãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãã®ããããLv.58ã¯ããããªããªããæ©ããªã ; $proof$ = | fact3 & fact8 -> int1: ãã®ãã®ãã¡ãLv.35ã¯èªãã£ãœããªã; int1 & fact9 -> int2: ããã®ãã®ãã¡ãLv.35ã¯è¿ä»ãæããé£æ³ãæãããšããããšã¯æãç«ããªã; int2 & fact6 -> int3: ãã®ã¿ã«ã
ã¿ã«ãLv.77ã¯å£ãæããªã; int3 & fact1 -> int4: ãã®ã¿ãã¿ãLv.75ã¯æ©ããªã; int4 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D}{c} -> ¬{E}{d} fact2: (x): ¬{A}x -> ¬(¬{G}x & ¬{E}x) fact3: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact4: (x): {F}x -> ({C}x v ¬{D}x) fact5: {B}{a} -> ¬{A}{e} fact6: ¬({A}{b} & {C}{b}) -> ¬{D}{c} fact7: ¬{E}{d} -> (¬{G}{e} & ¬{E}{e}) fact8: ¬({AA}{a} & ¬{AB}{a}) fact9: ¬{B}{b} -> ¬({A}{b} & {C}{b}) ; $hypothesis$ = (¬{G}{e} & ¬{E}{e}) ; $proof$ = | fact3 & fact8 -> int1: ¬{B}{b}; int1 & fact9 -> int2: ¬({A}{b} & {C}{b}); int2 & fact6 -> int3: ¬{D}{c}; int3 & fact1 -> int4: ¬{E}{d}; int4 & fact7 -> hypothesis; __PROVED__ |
0.3 | ãåŸé£ããšããããšã¯èµ·ãããªãããœããœãLv.99äºä»¶ãçºçããããšããããšã¯äºå®ãšç°ãªã | ¬(¬{A} & {C}) | fact1: ä»®ã«äººéããããšããããšã¯çºçããªããªããçŽ æŽããããšããããšãšã¢ã¡ãªã«ã£ãœããšããããšãçããããšããããšã¯æãç«ããªã fact2: ä»®ã«ãçŽ æŽããããšããããšãšã¢ã¡ãªã«ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ããªããªãè²·ãæããšããããšã¯èµ·ãããªã fact3: ä»®ã«ããŽããŽã«ã
Lv.14äºä»¶ãèµ·ããããããã¯ãã€ãããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãªããšãããšäººéããããšããããšã¯èµ·ãããªã fact4: ãœããœãLv.99äºä»¶ãèµ·ãã fact5: ããä»®ã«ãŽããŽãLv.17äºä»¶ã¯èµ·ãããªããªãã°ããŽããŽã«ã
Lv.14äºä»¶ããŸãã¯ãã€ãããšããããšããããã¯äž¡æ¹ãçºçããããšããããšã¯äºå®ãšç°ãªã fact6: åŸé£ããšããããšã¯èµ·ãããªãããããè²·ãæããšããããšã¯èµ·ãããªã | fact1: ¬{F} -> ¬({E} & {D}) fact2: ¬({E} & {D}) -> ¬{B} fact3: ¬({H} v {G}) -> ¬{F} fact4: {C} fact5: ¬{I} -> ¬({H} v {G}) fact6: (¬{A} & ¬{B}) | [
"fact6 -> int1: åŸé£ããšããããšã¯èµ·ããªã; int1 & fact4 -> hypothesis;"
] | [
"fact6 -> int1: ¬{A}; int1 & fact4 -> hypothesis;"
] | ãåŸé£ããšããããšã¯èµ·ãããªãããœããœãLv.99äºä»¶ãçºçããããšããããšã¯äºå®ãšç°ãªã | ¬(¬{A} & {C}) | [] | 9 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«äººéããããšããããšã¯çºçããªããªããçŽ æŽããããšããããšãšã¢ã¡ãªã«ã£ãœããšããããšãçããããšããããšã¯æãç«ããªã fact2: ä»®ã«ãçŽ æŽããããšããããšãšã¢ã¡ãªã«ã£ãœããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ããªããªãè²·ãæããšããããšã¯èµ·ãããªã fact3: ä»®ã«ããŽããŽã«ã
Lv.14äºä»¶ãèµ·ããããããã¯ãã€ãããšããããšãèµ·ããããšããããšã¯æ¬åœã§ãªããšãããšäººéããããšããããšã¯èµ·ãããªã fact4: ãœããœãLv.99äºä»¶ãèµ·ãã fact5: ããä»®ã«ãŽããŽãLv.17äºä»¶ã¯èµ·ãããªããªãã°ããŽããŽã«ã
Lv.14äºä»¶ããŸãã¯ãã€ãããšããããšããããã¯äž¡æ¹ãçºçããããšããããšã¯äºå®ãšç°ãªã fact6: åŸé£ããšããããšã¯èµ·ãããªãããããè²·ãæããšããããšã¯èµ·ãããªã ; $hypothesis$ = ãåŸé£ããšããããšã¯èµ·ãããªãããœããœãLv.99äºä»¶ãçºçããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact6 -> int1: åŸé£ããšããããšã¯èµ·ããªã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{F} -> ¬({E} & {D}) fact2: ¬({E} & {D}) -> ¬{B} fact3: ¬({H} v {G}) -> ¬{F} fact4: {C} fact5: ¬{I} -> ¬({H} v {G}) fact6: (¬{A} & ¬{B}) ; $hypothesis$ = ¬(¬{A} & {C}) ; $proof$ = | fact6 -> int1: ¬{A}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããçãããšããããšãèµ·ããããããã¯ã·ã¡ãã·ãLv.20äºä»¶ã¯èµ·ãããªãããŸãã¯ã©ã¡ããã | ({A} v ¬{B}) | fact1: æ
ãšããããšããããšãçããããããã¯ãœã¡ããœãLv.17äºä»¶ã¯çããªã fact2: ããŸã«ã
ãŸã®Lv.71äºä»¶ã¯çããªãããšããããšã¯ã·ã¡ãã·ãLv.20äºä»¶ã¯çããªããšããããšã«ãããããã fact3: ç²ç«ã€ããšã¯çããªã fact4: åã¹ãããšãèµ·ãããšããããšã¯ãŽã«ãŽã¡ãLv.0äºä»¶ã¯çããªããšããããšã«é²ããã fact5: çãããšããããšã¯ããŸã«ã
ãŸã®Lv.71äºä»¶ã¯èµ·ããªãããšããããšã®åå ãšãªã fact6: çãããšããããšã¯çºçããªããªãã°ãåã°ãããšããããšãçããããããã¯åããæããšããããšã¯çããªããã©ã¡ããã ããšããããšã¯æãç«ããªã fact7: çãããšããããšã¯ããŸã«ã
ãŸã®Lv.71äºä»¶ã¯çºçããªãããšããããšãé²ã | fact1: ({EN} v ¬{DK}) fact2: ¬{B} -> ¬{C} fact3: ¬{GI} fact4: ¬{IM} -> ¬{GM} fact5: {A} -> ¬{C} fact6: ¬{A} -> ¬({EU} v ¬{BP}) fact7: {A} -> {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããçãããšããããšãèµ·ããããããã¯ã·ã¡ãã·ãLv.20äºä»¶ã¯èµ·ãããªãããŸãã¯ã©ã¡ããã ; assump1 & fact5 & fact2 -> int1: ãŸã«ã
ãŸã®Lv.71äºä»¶ã¯çããªã;"
] | [
"void -> assump1: ({A} v ¬{B}); assump1 & fact5 & fact2 -> int1: ¬{C};"
] | ãåã°ãããšããããšãçºçãããåããæããšããããšã¯çããªãããšããããšã¯æãç«ããªã | ¬({EU} v ¬{BP}) | [] | 6 | 4 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æ
ãšããããšããããšãçããããããã¯ãœã¡ããœãLv.17äºä»¶ã¯çããªã fact2: ããŸã«ã
ãŸã®Lv.71äºä»¶ã¯çããªãããšããããšã¯ã·ã¡ãã·ãLv.20äºä»¶ã¯çããªããšããããšã«ãããããã fact3: ç²ç«ã€ããšã¯çããªã fact4: åã¹ãããšãèµ·ãããšããããšã¯ãŽã«ãŽã¡ãLv.0äºä»¶ã¯çããªããšããããšã«é²ããã fact5: çãããšããããšã¯ããŸã«ã
ãŸã®Lv.71äºä»¶ã¯èµ·ããªãããšããããšã®åå ãšãªã fact6: çãããšããããšã¯çºçããªããªãã°ãåã°ãããšããããšãçããããããã¯åããæããšããããšã¯çããªããã©ã¡ããã ããšããããšã¯æãç«ããªã fact7: çãããšããããšã¯ããŸã«ã
ãŸã®Lv.71äºä»¶ã¯çºçããªãããšããããšãé²ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããçãããšããããšãèµ·ããããããã¯ã·ã¡ãã·ãLv.20äºä»¶ã¯èµ·ãããªãããŸãã¯ã©ã¡ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({EN} v ¬{DK}) fact2: ¬{B} -> ¬{C} fact3: ¬{GI} fact4: ¬{IM} -> ¬{GM} fact5: {A} -> ¬{C} fact6: ¬{A} -> ¬({EU} v ¬{BP}) fact7: {A} -> {C} ; $hypothesis$ = ({A} v ¬{B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããããªããšããã°ã²åŒ±ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ãšç°ãªã | ¬((Ex): ¬{B}x -> ¬{C}x) | fact1: ãã®ãœã®ãœã«ã
Lv.14ãããããšããããšã¯ãªããªããã®ãœã®ãœã«ã
Lv.14ã¯ã²åŒ±ããªã fact2: ä»®ã«ãã®ã¿ã«ãã¿ã«ãLv.20ãå·ãé£ããšãããšãã®ã¿ã«ãã¿ã«ãLv.20ã¯ã²åŒ±ããªã fact3: ãããä»®ã«ããããªããšããã°ã²åŒ±ããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: ¬{B}{aa} -> ¬{C}{aa} fact2: {FT}{gi} -> ¬{C}{gi} fact3: (Ex): ¬{B}x -> {C}x | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãœã®ãœã«ã
Lv.14ãããããšããããšã¯ãªããªããã®ãœã®ãœã«ã
Lv.14ã¯ã²åŒ±ããªã fact2: ä»®ã«ãã®ã¿ã«ãã¿ã«ãLv.20ãå·ãé£ããšãããšãã®ã¿ã«ãã¿ã«ãLv.20ã¯ã²åŒ±ããªã fact3: ãããä»®ã«ããããªããšããã°ã²åŒ±ããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ããããããªããšããã°ã²åŒ±ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{aa} -> ¬{C}{aa} fact2: {FT}{gi} -> ¬{C}{gi} fact3: (Ex): ¬{B}x -> {C}x ; $hypothesis$ = ¬((Ex): ¬{B}x -> ¬{C}x) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãã·ãLv.41ã¯æ²ããããã¯èŸãããšããããšã¯æãç«ããªã | ¬({C}{a} & {D}{a}) | fact1: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯éãç¡ããªãããããä¿¡å¿æ·±ããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšããã¯æ¥µãŸããªã fact2: ããããã®ã·ã¡ã
ã·ã¡ãLv.79ãæ²ããªããšããã°ãã®ã·ãã·ãLv.41ã¯èŸã fact3: ãšããã¢ã³ã¹ã¿ãŒã¯éããªããšããããæ²ããããã¯èŸãããšããããšã¯äºå®ãšç°ãªã fact4: ãããã®ã·ã¡ã
ã·ã¡ãLv.79ãéãããããã¯æ¥µãŸããªãããããã¯äž¡æ¹ãšãã§ãããªãã°æ²ããªã fact5: ããããã®ã·ã¡ã
ã·ã¡ãLv.79ãæ²ããªããšããã°ãã®ã·ãã·ãLv.41ã¯æ²ããèŸã fact6: ããããã®ã·ã¡ã
ã·ã¡ãLv.79ãéãç¡ããªãã°ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯æ¥µãŸããªã fact7: ãã®ãŽã«ããŽãLv.0ã¯å ãé£ããèŸã fact8: ããã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãç¡ããªãããã®äžä¿¡å¿æ·±ããªãããšããããšã¯èª€ã£ãŠãã fact9: ããã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãããšããããšã¯çå®ãªãã°æ²ããªã | fact1: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}x fact2: ¬{C}{aa} -> {D}{a} fact3: (x): ¬{A}x -> ¬({C}x & {D}x) fact4: ({A}{aa} v {B}{aa}) -> ¬{C}{aa} fact5: ¬{C}{aa} -> ({C}{a} & {D}{a}) fact6: {AA}{aa} -> {B}{aa} fact7: ({CB}{cl} & {D}{cl}) fact8: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact9: {A}{aa} -> ¬{C}{aa} | [
"fact1 -> int1: ããä»®ã«ããã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãç¡ããªãããã€ä¿¡å¿æ·±ããªãããšããããšã¯æãç«ããªããšãããšæ¥µãŸããªã; int1 & fact8 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯æ¥µãŸããªã; int2 -> int3: ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãããããã¯æ¥µãŸããªãããããã¯äž¡æ¹ãšãã ; int3 & fact4 -> int4: ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯æ²ããªã; int4 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact8 -> int2: {B}{aa}; int2 -> int3: ({A}{aa} v {B}{aa}); int3 & fact4 -> int4: ¬{C}{aa}; int4 & fact5 -> hypothesis;"
] | ããã®ã·ãã·ãLv.41ã¯æ²ããããã¯èŸãããšããããšã¯æãç«ããªã | ¬({C}{a} & {D}{a}) | [
"fact10 -> int5: ãããã®ã·ãã·ãLv.41ã¯éããªããªãããã®ã·ãã·ãLv.41ã¯æ²ãããããèŸãããšããããšã¯äºå®ãšç°ãªã;"
] | 4 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯éãç¡ããªãããããä¿¡å¿æ·±ããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšããã¯æ¥µãŸããªã fact2: ããããã®ã·ã¡ã
ã·ã¡ãLv.79ãæ²ããªããšããã°ãã®ã·ãã·ãLv.41ã¯èŸã fact3: ãšããã¢ã³ã¹ã¿ãŒã¯éããªããšããããæ²ããããã¯èŸãããšããããšã¯äºå®ãšç°ãªã fact4: ãããã®ã·ã¡ã
ã·ã¡ãLv.79ãéãããããã¯æ¥µãŸããªãããããã¯äž¡æ¹ãšãã§ãããªãã°æ²ããªã fact5: ããããã®ã·ã¡ã
ã·ã¡ãLv.79ãæ²ããªããšããã°ãã®ã·ãã·ãLv.41ã¯æ²ããèŸã fact6: ããããã®ã·ã¡ã
ã·ã¡ãLv.79ãéãç¡ããªãã°ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯æ¥µãŸããªã fact7: ãã®ãŽã«ããŽãLv.0ã¯å ãé£ããèŸã fact8: ããã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãç¡ããªãããã®äžä¿¡å¿æ·±ããªãããšããããšã¯èª€ã£ãŠãã fact9: ããã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãããšããããšã¯çå®ãªãã°æ²ããªã ; $hypothesis$ = ããã®ã·ãã·ãLv.41ã¯æ²ããããã¯èŸãããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ããä»®ã«ããã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãç¡ããªãããã€ä¿¡å¿æ·±ããªãããšããããšã¯æãç«ããªããšãããšæ¥µãŸããªã; int1 & fact8 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯æ¥µãŸããªã; int2 -> int3: ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯éãããããã¯æ¥µãŸããªãããããã¯äž¡æ¹ãšãã ; int3 & fact4 -> int4: ãã®ã·ã¡ã
ã·ã¡ãLv.79ã¯æ²ããªã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}x fact2: ¬{C}{aa} -> {D}{a} fact3: (x): ¬{A}x -> ¬({C}x & {D}x) fact4: ({A}{aa} v {B}{aa}) -> ¬{C}{aa} fact5: ¬{C}{aa} -> ({C}{a} & {D}{a}) fact6: {AA}{aa} -> {B}{aa} fact7: ({CB}{cl} & {D}{cl}) fact8: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact9: {A}{aa} -> ¬{C}{aa} ; $hypothesis$ = ¬({C}{a} & {D}{a}) ; $proof$ = | fact1 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact8 -> int2: {B}{aa}; int2 -> int3: ({A}{aa} v {B}{aa}); int3 & fact4 -> int4: ¬{C}{aa}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããæ±ãæããšããããšãèµ·ãã | {A} | fact1: ã·ã«ã·ãLv.38äºä»¶ãçºçãã fact2: æ±ãæããšããããšããã³ã·ã«ã·ãLv.38äºä»¶ãçºçããã¯ç埮åããããšãé²ã fact3: ç埮åããããšãèµ·ãã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæ±ãæããšããããšãèµ·ãã; assump1 & fact1 -> int1: æ±ãæããšããããšãšã·ã«ã·ãLv.38äºä»¶ãçãã; int1 & fact2 -> int2: ãç埮åããããšã¯çºçããªãããšããããšã¯æãç«ã€; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã·ã«ã·ãLv.38äºä»¶ãçºçãã fact2: æ±ãæããšããããšããã³ã·ã«ã·ãLv.38äºä»¶ãçºçããã¯ç埮åããããšãé²ã fact3: ç埮åããããšãèµ·ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæ±ãæããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæ±ãæããšããããšãèµ·ãã; assump1 & fact1 -> int1: æ±ãæããšããããšãšã·ã«ã·ãLv.38äºä»¶ãçãã; int1 & fact2 -> int2: ãç埮åããããšã¯çºçããªãããšããããšã¯æãç«ã€; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: {C} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ã·ãã·ã«Lv.0ã¯ä¹
ãããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªã | {A}{b} | fact1: ãããããã®ã·ãã·ã«Lv.90ã¯éè²ãæããªãããŸãã¯ç®èŠãŸããããããã¯ã©ã¡ããã ããšããããšã¯åã§ãããšãããããã®ã·ãã·ã«Lv.0ã¯ä¹
ããããšããããšã¯çå®ã fact2: ãã®ã·ãã·ã«Lv.90ã¯ç®èŠãŸãããªã fact3: ããããã¢ã³ã¹ã¿ãŒãæµãå»ããšãããšä¹
ãããšããããšã¯ãªããŠæŽã«ããã¯å£ã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹
ãããšããããšã¯ãªããšããã°ãããã¯åºŠãé£ããªãããŸãã¯ç®èŠãŸããããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ãã | fact1: ¬(¬{AA}{a} v {AB}{a}) -> {A}{b} fact2: ¬{AB}{a} fact3: (x): {C}x -> (¬{A}x & {B}x) fact4: (x): ¬{A}x -> ¬(¬{AU}x v {AB}x) | [] | [] | ãããã®ã·ãã·ã«Lv.90ã¯åºŠãé£ããªããç®èŠãŸããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æ¬åœã ããšããããšã¯åã§ãã | ¬(¬{AU}{a} v {AB}{a}) | [
"fact5 -> int1: ããããã®ã·ãã·ã«Lv.90ã¯ä¹
ãããªããšããã°ããã®ã·ãã·ã«Lv.90ã¯åºŠãé£ããšããããšã¯ãªããç®èŠãŸããããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 4 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã®ã·ãã·ã«Lv.90ã¯éè²ãæããªãããŸãã¯ç®èŠãŸããããããã¯ã©ã¡ããã ããšããããšã¯åã§ãããšãããããã®ã·ãã·ã«Lv.0ã¯ä¹
ããããšããããšã¯çå®ã fact2: ãã®ã·ãã·ã«Lv.90ã¯ç®èŠãŸãããªã fact3: ããããã¢ã³ã¹ã¿ãŒãæµãå»ããšãããšä¹
ãããšããããšã¯ãªããŠæŽã«ããã¯å£ã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹
ãããšããããšã¯ãªããšããã°ãããã¯åºŠãé£ããªãããŸãã¯ç®èŠãŸããããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ãã ; $hypothesis$ = ãããã®ã·ãã·ã«Lv.0ã¯ä¹
ãããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA}{a} v {AB}{a}) -> {A}{b} fact2: ¬{AB}{a} fact3: (x): {C}x -> (¬{A}x & {B}x) fact4: (x): ¬{A}x -> ¬(¬{AU}x v {AB}x) ; $hypothesis$ = {A}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ã¿ã«ã
ã¿ã¡ãLv.64äºä»¶ãçããªããŠããã«ãŽã¡ããŽãLv.10äºä»¶ã¯èµ·ãããªã | (¬{B} & ¬{C}) | fact1: ãŽã¡ããŽã¡ãLv.31äºä»¶ãèµ·ããªããæŽã«ãœã¡ããœãLv.94äºä»¶ã¯èµ·ãããªã fact2: ãŽã¡ããŽãLv.10äºä»¶ã¯çºçããªã fact3: ã¿ã«ã
ã¿ã¡ãLv.64äºä»¶ã¯èµ·ãããªããšããããšã¯ããŽã¡ããŽãLv.77äºä»¶ãçããªãã座èŠåºæ¥ãããšã¯çããªãããšããããšã«ããçãã fact4: ãŸã¡ã
ãŸãLv.11äºä»¶ããã³ãŽã¡ããŽãLv.55äºä»¶ã©ã¡ãããèµ·ãã fact5: ããŸã¡ã
ãŸãLv.11äºä»¶ãçºçããããšããããšã¯åº§èŠåºæ¥ãããšã¯çºçããªããšããããšã«ç¹ãã | fact1: (¬{IQ} & ¬{FI}) fact2: ¬{C} fact3: (¬{AA} & ¬{AB}) -> ¬{B} fact4: ({A} & {D}) fact5: {A} -> ¬{AB} | [
"fact4 -> int1: ãŸã¡ã
ãŸãLv.11äºä»¶ãèµ·ãã;"
] | [
"fact4 -> int1: {A};"
] | null | null | [] | null | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŽã¡ããŽã¡ãLv.31äºä»¶ãèµ·ããªããæŽã«ãœã¡ããœãLv.94äºä»¶ã¯èµ·ãããªã fact2: ãŽã¡ããŽãLv.10äºä»¶ã¯çºçããªã fact3: ã¿ã«ã
ã¿ã¡ãLv.64äºä»¶ã¯èµ·ãããªããšããããšã¯ããŽã¡ããŽãLv.77äºä»¶ãçããªãã座èŠåºæ¥ãããšã¯çããªãããšããããšã«ããçãã fact4: ãŸã¡ã
ãŸãLv.11äºä»¶ããã³ãŽã¡ããŽãLv.55äºä»¶ã©ã¡ãããèµ·ãã fact5: ããŸã¡ã
ãŸãLv.11äºä»¶ãçºçããããšããããšã¯åº§èŠåºæ¥ãããšã¯çºçããªããšããããšã«ç¹ãã ; $hypothesis$ = ã¿ã«ã
ã¿ã¡ãLv.64äºä»¶ãçããªããŠããã«ãŽã¡ããŽãLv.10äºä»¶ã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{IQ} & ¬{FI}) fact2: ¬{C} fact3: (¬{AA} & ¬{AB}) -> ¬{B} fact4: ({A} & {D}) fact5: {A} -> ¬{AB} ; $hypothesis$ = (¬{B} & ¬{C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸã«ããŸã«ãLv.59ã¯åºãããããããã¯åŠå®ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B}{d} & ¬{D}{d}) | fact1: ãããã®ãŽã«ããŽãLv.65ã¯åãæããšããããšã¯ãªããšãããããã®ãŽã¡ããŽãLv.86ã¯åµäœãããæŽã«è»ãããããšããããšã¯æ¬åœã§ãã fact2: ãããã¢ã³ã¹ã¿ãŒã¯é»ã£ãœããšããããšã¯ãªããŠåãé£ããªã fact3: ããã¢ã³ã¹ã¿ãŒãåµäœãããšãããšããã fact4: ããããã®ã·ãã·ãLv.76ã¯åãé£ããªãã°ããã®ãŽã¡ããŽãLv.86ã¯é
·ãããããæãããªãããšããããšã¯æãç«ããªã fact5: ãã®ã·ãã·ãLv.76ã¯é»ã£ãœããšããããšã¯ãªããåãé£ã fact6: ãã®ã·ãã·ãLv.76ã¯åãé£ããªããšãããããã®ãŸã«ããŸã«ãLv.59ã¯åºãããããåŠå®ãé£ããªãããšããããšã¯ééã£ãŠãã fact7: ããä»®ã«ãã®ãŽã«ããŽãLv.65ãåºããªããšãããšãã®ãŸã«ããŸã«ãLv.59ã¯åºãããããåŠå®ãé£ããªã fact8: ããä»®ã«ããã®ãŽã¡ããŽãLv.86ã¯é
·ãããããããã¯æãããªãããšããããšã¯ééãã§ãããšããã°ãã®ãŽã«ããŽãLv.65ã¯åºããªã | fact1: ¬{H}{c} -> ({F}{b} & {G}{b}) fact2: (x): {E}x -> (¬{C}x & ¬{A}x) fact3: (x): {F}x -> {E}x fact4: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact5: (¬{C}{a} & {A}{a}) fact6: ¬{A}{a} -> ¬({B}{d} & ¬{D}{d}) fact7: ¬{B}{c} -> ({B}{d} & ¬{D}{d}) fact8: ¬({AA}{b} & ¬{AB}{b}) -> ¬{B}{c} | [
"fact5 -> int1: ããã®ã·ãã·ãLv.76ã¯åãé£ãããšããããšã¯æãç«ã€; fact4 & int1 -> int2: ããã®ãŽã¡ããŽãLv.86ã¯é
·ãäžæ¹ã§æãããªãããšããããšã¯æãç«ããªã; int2 & fact8 -> int3: ãã®ãŽã«ããŽãLv.65ã¯åºããªã; int3 & fact7 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; fact4 & int1 -> int2: ¬({AA}{b} & ¬{AB}{b}); int2 & fact8 -> int3: ¬{B}{c}; int3 & fact7 -> hypothesis;"
] | ããã®ãŸã«ããŸã«ãLv.59ã¯åºãããããããã¯åŠå®ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B}{d} & ¬{D}{d}) | [
"fact11 -> int4: ããä»®ã«ãã®ãŽã¡ããŽãLv.86ãããããšãããšããã¯é»ã£ãœããªããŠæŽã«ããã¯åãé£ããªã; fact12 -> int5: ä»®ã«ãã®ãŽã¡ããŽãLv.86ãåµäœããã°ãã®ãŽã¡ããŽãLv.86ã¯ããã;"
] | 7 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŽã«ããŽãLv.65ã¯åãæããšããããšã¯ãªããšãããããã®ãŽã¡ããŽãLv.86ã¯åµäœãããæŽã«è»ãããããšããããšã¯æ¬åœã§ãã fact2: ãããã¢ã³ã¹ã¿ãŒã¯é»ã£ãœããšããããšã¯ãªããŠåãé£ããªã fact3: ããã¢ã³ã¹ã¿ãŒãåµäœãããšãããšããã fact4: ããããã®ã·ãã·ãLv.76ã¯åãé£ããªãã°ããã®ãŽã¡ããŽãLv.86ã¯é
·ãããããæãããªãããšããããšã¯æãç«ããªã fact5: ãã®ã·ãã·ãLv.76ã¯é»ã£ãœããšããããšã¯ãªããåãé£ã fact6: ãã®ã·ãã·ãLv.76ã¯åãé£ããªããšãããããã®ãŸã«ããŸã«ãLv.59ã¯åºãããããåŠå®ãé£ããªãããšããããšã¯ééã£ãŠãã fact7: ããä»®ã«ãã®ãŽã«ããŽãLv.65ãåºããªããšãããšãã®ãŸã«ããŸã«ãLv.59ã¯åºãããããåŠå®ãé£ããªã fact8: ããä»®ã«ããã®ãŽã¡ããŽãLv.86ã¯é
·ãããããããã¯æãããªãããšããããšã¯ééãã§ãããšããã°ãã®ãŽã«ããŽãLv.65ã¯åºããªã ; $hypothesis$ = ããã®ãŸã«ããŸã«ãLv.59ã¯åºãããããããã¯åŠå®ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact5 -> int1: ããã®ã·ãã·ãLv.76ã¯åãé£ãããšããããšã¯æãç«ã€; fact4 & int1 -> int2: ããã®ãŽã¡ããŽãLv.86ã¯é
·ãäžæ¹ã§æãããªãããšããããšã¯æãç«ããªã; int2 & fact8 -> int3: ãã®ãŽã«ããŽãLv.65ã¯åºããªã; int3 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{H}{c} -> ({F}{b} & {G}{b}) fact2: (x): {E}x -> (¬{C}x & ¬{A}x) fact3: (x): {F}x -> {E}x fact4: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact5: (¬{C}{a} & {A}{a}) fact6: ¬{A}{a} -> ¬({B}{d} & ¬{D}{d}) fact7: ¬{B}{c} -> ({B}{d} & ¬{D}{d}) fact8: ¬({AA}{b} & ¬{AB}{b}) -> ¬{B}{c} ; $hypothesis$ = ¬({B}{d} & ¬{D}{d}) ; $proof$ = | fact5 -> int1: {A}{a}; fact4 & int1 -> int2: ¬({AA}{b} & ¬{AB}{b}); int2 & fact8 -> int3: ¬{B}{c}; int3 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.36ã¯çãæããšããããšã¯ãªã | ¬{A}{c} | fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒã矜ã°ãããšãããšããã¯çãæããåãæããªã fact2: ããããã®ã·ãã·ãLv.0ãè¹Žç Žããªãããããã¯ä»°ã
ãããšããã°ãã®ãŸããŸãLv.36ã¯çãæããªã fact3: ãã®ã¿ã«ãã¿ã«Lv.95ã¯åãæã fact4: ããä»®ã«ããã®ã·ãã·ãLv.0ã¯è¹Žç ŽããªãããŸãã¯ä»°ã
ãããã©ã¡ããã§ããããšããããšã¯èª€ãã ãšãããšãã®ã¿ã«ãã¿ã«Lv.95ã¯åãæããªã fact5: ãã®ã·ãã·ãLv.0ã¯åãæã | fact1: (x): {C}x -> ({A}x & ¬{B}x) fact2: (¬{AA}{a} v {AB}{a}) -> ¬{A}{c} fact3: {B}{b} fact4: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact5: {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã·ãã·ãLv.0ã¯è¹Žç ŽããªãããŸãã¯ä»°ã
ãããã©ã¡ããã§ããããšããããšã¯æãç«ããªã; fact4 & assump1 -> int1: ãã®ã¿ã«ãã¿ã«Lv.95ã¯åãæããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ãã·ãLv.0ã¯è¹Žç Žããªãããããã¯ä»°ã
ããããããã¯ã©ã¡ããã§ãã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA}{a} v {AB}{a}); fact4 & assump1 -> int1: ¬{B}{b}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} v {AB}{a}); int3 & fact2 -> hypothesis;"
] | ãã®ãŸããŸãLv.36ã¯çãæã | {A}{c} | [
"fact6 -> int4: ããä»®ã«ãã®ãŸããŸãLv.36ã矜ã°ããã°ãã®ãŸããŸãLv.36ã¯çãæããåãæããªã;"
] | 4 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã¢ã³ã¹ã¿ãŒã矜ã°ãããšãããšããã¯çãæããåãæããªã fact2: ããããã®ã·ãã·ãLv.0ãè¹Žç Žããªãããããã¯ä»°ã
ãããšããã°ãã®ãŸããŸãLv.36ã¯çãæããªã fact3: ãã®ã¿ã«ãã¿ã«Lv.95ã¯åãæã fact4: ããä»®ã«ããã®ã·ãã·ãLv.0ã¯è¹Žç ŽããªãããŸãã¯ä»°ã
ãããã©ã¡ããã§ããããšããããšã¯èª€ãã ãšãããšãã®ã¿ã«ãã¿ã«Lv.95ã¯åãæããªã fact5: ãã®ã·ãã·ãLv.0ã¯åãæã ; $hypothesis$ = ãã®ãŸããŸãLv.36ã¯çãæããšããããšã¯ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã·ãã·ãLv.0ã¯è¹Žç ŽããªãããŸãã¯ä»°ã
ãããã©ã¡ããã§ããããšããããšã¯æãç«ããªã; fact4 & assump1 -> int1: ãã®ã¿ã«ãã¿ã«Lv.95ã¯åãæããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ãã·ãLv.0ã¯è¹Žç Žããªãããããã¯ä»°ã
ããããããã¯ã©ã¡ããã§ãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {C}x -> ({A}x & ¬{B}x) fact2: (¬{AA}{a} v {AB}{a}) -> ¬{A}{c} fact3: {B}{b} fact4: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact5: {B}{a} ; $hypothesis$ = ¬{A}{c} ; $proof$ = | void -> assump1: ¬(¬{AA}{a} v {AB}{a}); fact4 & assump1 -> int1: ¬{B}{b}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} v {AB}{a}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸã¡ããŸã¡ã
Lv.59ã¯ç²ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããªã | ¬{E}{b} | fact1: ãããã®ãŸã¡ããŸã¡ã
Lv.59ã¯æ¯è©ããããŸã也ãæããšãããããã¯ç²ããªã fact2: ä»®ã«ãã®ãŸã®ãŸã®Lv.11ã解çŽããªããšãããšãã®ãŸã®ãŸã®Lv.11ã¯æ匷ããšããããšã¯ãªããæã¡æããªã fact3: ãã®ãŸã®ãŸã®Lv.11ã¯æ匷ããªã fact4: ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯æ¯è©ãã fact5: ãããã®ãŸã®ãŸã®Lv.11ãæ匷ããšããããšã¯ãªããããã¯æã¡æããªããšãããšããã®ãŸã®ãŸã®Lv.11ã¯ææ¡ãé£ããªãããšããããšã¯æãç«ã€ fact6: ãšããã¢ã³ã¹ã¿ãŒã¯è§£çŽãããªããããã¯ç²ãããšããããšã¯äºå®ã§ãã fact7: ãããã®ãŸã®ãŸã®Lv.11ãææ¡ãé£ããªããšããã°ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯ä¹Ÿãæã fact8: ãã®ãŸã®ãŸã®Lv.11ã¯è§£çŽããªã | fact1: ({D}{b} & {C}{b}) -> ¬{E}{b} fact2: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact3: ¬{AA}{a} fact4: {D}{b} fact5: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact6: (x): {A}x -> {E}x fact7: ¬{B}{a} -> {C}{b} fact8: ¬{A}{a} | [
"fact2 & fact8 -> int1: ãã®ãŸã®ãŸã®Lv.11ã¯æ匷ããªããæã¡æããªã; int1 & fact5 -> int2: ãã®ãŸã®ãŸã®Lv.11ã¯ææ¡ãé£ããªã; int2 & fact7 -> int3: ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯ä¹Ÿãæã; int3 & fact4 -> int4: ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯æ¯è©ããã也ãæã; int4 & fact1 -> hypothesis;"
] | [
"fact2 & fact8 -> int1: (¬{AA}{a} & ¬{AB}{a}); int1 & fact5 -> int2: ¬{B}{a}; int2 & fact7 -> int3: {C}{b}; int3 & fact4 -> int4: ({D}{b} & {C}{b}); int4 & fact1 -> hypothesis;"
] | ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯ç²ã | {E}{b} | [
"fact9 -> int5: ãã®ãŸã¡ããŸã¡ã
Lv.59ã解çŽãããšãããããã¯ç²ã;"
] | 5 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŸã¡ããŸã¡ã
Lv.59ã¯æ¯è©ããããŸã也ãæããšãããããã¯ç²ããªã fact2: ä»®ã«ãã®ãŸã®ãŸã®Lv.11ã解çŽããªããšãããšãã®ãŸã®ãŸã®Lv.11ã¯æ匷ããšããããšã¯ãªããæã¡æããªã fact3: ãã®ãŸã®ãŸã®Lv.11ã¯æ匷ããªã fact4: ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯æ¯è©ãã fact5: ãããã®ãŸã®ãŸã®Lv.11ãæ匷ããšããããšã¯ãªããããã¯æã¡æããªããšãããšããã®ãŸã®ãŸã®Lv.11ã¯ææ¡ãé£ããªãããšããããšã¯æãç«ã€ fact6: ãšããã¢ã³ã¹ã¿ãŒã¯è§£çŽãããªããããã¯ç²ãããšããããšã¯äºå®ã§ãã fact7: ãããã®ãŸã®ãŸã®Lv.11ãææ¡ãé£ããªããšããã°ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯ä¹Ÿãæã fact8: ãã®ãŸã®ãŸã®Lv.11ã¯è§£çŽããªã ; $hypothesis$ = ããã®ãŸã¡ããŸã¡ã
Lv.59ã¯ç²ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããªã ; $proof$ = | fact2 & fact8 -> int1: ãã®ãŸã®ãŸã®Lv.11ã¯æ匷ããªããæã¡æããªã; int1 & fact5 -> int2: ãã®ãŸã®ãŸã®Lv.11ã¯ææ¡ãé£ããªã; int2 & fact7 -> int3: ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯ä¹Ÿãæã; int3 & fact4 -> int4: ãã®ãŸã¡ããŸã¡ã
Lv.59ã¯æ¯è©ããã也ãæã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({D}{b} & {C}{b}) -> ¬{E}{b} fact2: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact3: ¬{AA}{a} fact4: {D}{b} fact5: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact6: (x): {A}x -> {E}x fact7: ¬{B}{a} -> {C}{b} fact8: ¬{A}{a} ; $hypothesis$ = ¬{E}{b} ; $proof$ = | fact2 & fact8 -> int1: (¬{AA}{a} & ¬{AB}{a}); int1 & fact5 -> int2: ¬{B}{a}; int2 & fact7 -> int3: {C}{b}; int3 & fact4 -> int4: ({D}{b} & {C}{b}); int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãªã·ã¡ãLv.73ã¯æªã | {A}{a} | fact1: ããããã®ã·ãªã·ã¡ãLv.73ã¯ä¿ã¡æããªãããããã¯æç¡ãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšãããšãã®ã·ãªã·ã¡ãLv.73ã¯æªã fact2: ããã®ã¿ãã¿ãLv.22ã¯åºæãããšããããšã¯ãªããæªãããããã¯ã©ã¡ããã ããšããããšã¯ééãã fact3: ãããããã®ã·ãªã·ã¡ãLv.73ã¯èã£ãºãããšããããšã¯ãªãããããã¯èã€ããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãã®ã·ãªã·ã¡ãLv.73ã¯æãé£ã fact4: ããã®ã·ãªã·ã¡ãLv.73ã¯ä¿ã¡æããªãããŸãã¯æç¡ãããããã¯äž¡æ¹ã ããšããããšã¯ééãã§ãã fact5: é転ãæããªãã¢ã³ã¹ã¿ãŒã¯ãã°ãã°ããããããè¯ã fact6: ãã®ã·ãªã·ã¡ãLv.73ã¯æç¡ããªã | fact1: ¬(¬{AA}{a} v {AB}{a}) -> {A}{a} fact2: ¬(¬{DD}{je} v {A}{je}) fact3: ¬(¬{BJ}{a} v {JI}{a}) -> {AI}{a} fact4: ¬(¬{AA}{a} v {AB}{a}) fact5: (x): ¬{D}x -> ({B}x & {C}x) fact6: ¬{AB}{a} | [
"fact4 -> int1: ããã®ã·ãªã·ã¡ãLv.73ã¯ä¿ã¡æããªãããŸãã¯æç¡ãããããã¯äž¡æ¹ã ããšããããšã¯ééãã§ãã; int1 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: ¬(¬{AA}{a} v {AB}{a}); int1 & fact1 -> hypothesis;"
] | ãã®ã·ãªã·ã¡ãLv.73ã¯æªããªã | ¬{A}{a} | [
"fact7 -> int2: ããä»®ã«ãã®ã·ãã·ãLv.32ãé転ãæããªããªãããã¯ãã°ãã°ããããã€ããã¯ãããè¯ã;"
] | 13 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ãªã·ã¡ãLv.73ã¯ä¿ã¡æããªãããããã¯æç¡ãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšãããšãã®ã·ãªã·ã¡ãLv.73ã¯æªã fact2: ããã®ã¿ãã¿ãLv.22ã¯åºæãããšããããšã¯ãªããæªãããããã¯ã©ã¡ããã ããšããããšã¯ééãã fact3: ãããããã®ã·ãªã·ã¡ãLv.73ã¯èã£ãºãããšããããšã¯ãªãããããã¯èã€ããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãã®ã·ãªã·ã¡ãLv.73ã¯æãé£ã fact4: ããã®ã·ãªã·ã¡ãLv.73ã¯ä¿ã¡æããªãããŸãã¯æç¡ãããããã¯äž¡æ¹ã ããšããããšã¯ééãã§ãã fact5: é転ãæããªãã¢ã³ã¹ã¿ãŒã¯ãã°ãã°ããããããè¯ã fact6: ãã®ã·ãªã·ã¡ãLv.73ã¯æç¡ããªã ; $hypothesis$ = ãã®ã·ãªã·ã¡ãLv.73ã¯æªã ; $proof$ = | fact4 -> int1: ããã®ã·ãªã·ã¡ãLv.73ã¯ä¿ã¡æããªãããŸãã¯æç¡ãããããã¯äž¡æ¹ã ããšããããšã¯ééãã§ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{a} v {AB}{a}) -> {A}{a} fact2: ¬(¬{DD}{je} v {A}{je}) fact3: ¬(¬{BJ}{a} v {JI}{a}) -> {AI}{a} fact4: ¬(¬{AA}{a} v {AB}{a}) fact5: (x): ¬{D}x -> ({B}x & {C}x) fact6: ¬{AB}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact4 -> int1: ¬(¬{AA}{a} v {AB}{a}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã«ããŽã¡ã
Lv.62ã¯èŠãæãäžæ¹ã§å
¶ãã£ãœããšããããšã¯ãªã | ({E}{b} & ¬{D}{b}) | fact1: ãã®ã·ã«ã
ã·ã¡ãLv.6ã¯èµ·ãé£ã fact2: ããäœãæãã¢ã³ã¹ã¿ãŒãèµ·ãé£ããšããã°ãã®ãŽã«ããŽã¡ã
Lv.62ã¯çå±ã£ãœããšããããšã¯ãªã fact3: ããã®ã·ã«ã
ã·ã¡ãLv.6ã¯äœãæãããšããããšã¯çå®ã fact4: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çå±ã£ãœãããããäœãæãããšããããšã¯ééã£ãŠãããšããã°æãé£ããªã fact5: ãããã®ãŽã«ããŽã¡ã
Lv.62ã¯çå±ã£ãœããšããããšã¯ãªããªããèŠãæãããŸãå
¶ãã£ãœããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: {B}{a} fact2: (x): ({A}x & {B}x) -> ¬{C}{b} fact3: {A}{a} fact4: (x): ¬({C}x & {A}x) -> ¬{FG}x fact5: ¬{C}{b} -> ¬({E}{b} & ¬{D}{b}) | [
"fact3 & fact1 -> int1: ãã®ã·ã«ã
ã·ã¡ãLv.6ã¯äœãæããŠããã¯èµ·ãé£ã; int1 -> int2: ãäœãæããŠèµ·ãé£ããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact2 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.62ã¯çå±ã£ãœããšããããšã¯ãªã; int3 & fact5 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact2 -> int3: ¬{C}{b}; int3 & fact5 -> hypothesis;"
] | ããã®ãŽã«ããŽã¡ã
Lv.62ã¯æãé£ãããã©èµ·ãé£ããªãããšããããšã¯ééãã | ¬({FG}{b} & ¬{B}{b}) | [
"fact6 -> int4: ãããã®ã·ã«ã
ã·ã¡ãLv.6ã¯çå±ã£ãœããŠäœãæãããšããããšã¯èª€ãã§ããããšããããšã¯æ¬åœã ãšãããšæãé£ããªã;"
] | 5 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã
ã·ã¡ãLv.6ã¯èµ·ãé£ã fact2: ããäœãæãã¢ã³ã¹ã¿ãŒãèµ·ãé£ããšããã°ãã®ãŽã«ããŽã¡ã
Lv.62ã¯çå±ã£ãœããšããããšã¯ãªã fact3: ããã®ã·ã«ã
ã·ã¡ãLv.6ã¯äœãæãããšããããšã¯çå®ã fact4: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çå±ã£ãœãããããäœãæãããšããããšã¯ééã£ãŠãããšããã°æãé£ããªã fact5: ãããã®ãŽã«ããŽã¡ã
Lv.62ã¯çå±ã£ãœããšããããšã¯ãªããªããèŠãæãããŸãå
¶ãã£ãœããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽã«ããŽã¡ã
Lv.62ã¯èŠãæãäžæ¹ã§å
¶ãã£ãœããšããããšã¯ãªã ; $proof$ = | fact3 & fact1 -> int1: ãã®ã·ã«ã
ã·ã¡ãLv.6ã¯äœãæããŠããã¯èµ·ãé£ã; int1 -> int2: ãäœãæããŠèµ·ãé£ããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact2 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.62ã¯çå±ã£ãœããšããããšã¯ãªã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: (x): ({A}x & {B}x) -> ¬{C}{b} fact3: {A}{a} fact4: (x): ¬({C}x & {A}x) -> ¬{FG}x fact5: ¬{C}{b} -> ¬({E}{b} & ¬{D}{b}) ; $hypothesis$ = ({E}{b} & ¬{D}{b}) ; $proof$ = | fact3 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact2 -> int3: ¬{C}{b}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã«ãã·ãLv.98ã¯å³ã€ããŠãŸãåžžé£ããã | ({B}{a} & {A}{a}) | fact1: ãã®ã·ã«ãã·ãLv.98ã¯å³ã€ã | fact1: {B}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ã«ãã·ãLv.98ã¯å³ã€ã ; $hypothesis$ = ãã®ã·ã«ãã·ãLv.98ã¯å³ã€ããŠãŸãåžžé£ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} ; $hypothesis$ = ({B}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã«ã
Lv.71ã¯å°ç¡ã | {C}{b} | fact1: ãã®ã·ãã·ã«ãLv.18ãæ¥çžŸè©äŸ¡ããã°ãã®ã·ãã·ã«ã
Lv.71ã¯å°ç¡ããªã fact2: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æªè³¢ããšããããšã¯ãªããªãããçŽãããããŠå ããŠæ¥çžŸè©äŸ¡ããããšããããšã¯ç¢ºãã§ããããšããããšã¯åœã fact3: ãã®ãŽãªãŽãLv.78ã¯å°ç¡ããªã fact4: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯çŽãããããããã«æ¥çžŸè©äŸ¡ããããšããããšã¯åœãªãã°ããã¯æ¥çžŸè©äŸ¡ããªã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãæ¥çžŸè©äŸ¡ããªããšããã°ããã¯å°ç¡ããŠããŸãã«èªèåºæ¥ã | fact1: {B}{a} -> ¬{C}{b} fact2: (x): ¬{D}x -> ¬({E}x & {B}x) fact3: ¬{C}{ed} fact4: (x): ¬({E}x & {B}x) -> ¬{B}x fact5: (x): ¬{B}x -> ({C}x & {A}x) | [] | [] | ãã®ã·ãã·ã«ã
Lv.71ã¯å°ç¡ã | {C}{b} | [
"fact7 -> int1: ããããã®ã·ãã·ã«ã
Lv.71ãæ¥çžŸè©äŸ¡ããªããšãããšãã®ã·ãã·ã«ã
Lv.71ã¯å°ç¡ããæŽã«èªèåºæ¥ã; fact6 -> int2: ããã®ã·ãã·ã«ã
Lv.71ã¯çŽãããããŠæ¥çžŸè©äŸ¡ããããšããããšã¯èª€ãã ãšãããšããã¯æ¥çžŸè©äŸ¡ããªã; fact8 -> int3: ãã®ã·ãã·ã«ã
Lv.71ã¯æªè³¢ããªããªãããã®ã·ãã·ã«ã
Lv.71ã¯çŽãããããŠããã«æ¥çžŸè©äŸ¡ããããšããããšã¯åã§ãã;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã«ãLv.18ãæ¥çžŸè©äŸ¡ããã°ãã®ã·ãã·ã«ã
Lv.71ã¯å°ç¡ããªã fact2: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æªè³¢ããšããããšã¯ãªããªãããçŽãããããŠå ããŠæ¥çžŸè©äŸ¡ããããšããããšã¯ç¢ºãã§ããããšããããšã¯åœã fact3: ãã®ãŽãªãŽãLv.78ã¯å°ç¡ããªã fact4: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯çŽãããããããã«æ¥çžŸè©äŸ¡ããããšããããšã¯åœãªãã°ããã¯æ¥çžŸè©äŸ¡ããªã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãæ¥çžŸè©äŸ¡ããªããšããã°ããã¯å°ç¡ããŠããŸãã«èªèåºæ¥ã ; $hypothesis$ = ãã®ã·ãã·ã«ã
Lv.71ã¯å°ç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> ¬{C}{b} fact2: (x): ¬{D}x -> ¬({E}x & {B}x) fact3: ¬{C}{ed} fact4: (x): ¬({E}x & {B}x) -> ¬{B}x fact5: (x): ¬{B}x -> ({C}x & {A}x) ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœãLv.81ã¯è¥ããªããã©ããã¯å«å³ã£ãããã | (¬{B}{a} & {C}{a}) | fact1: ãã®ãœããœãLv.81ã¯å«å³ã£ãããã fact2: ãã®ãœããœãLv.81ã¯ãããªã³ã°ããªããŠè¥ããªã | fact1: {C}{a} fact2: (¬{A}{a} & ¬{B}{a}) | [
"fact2 -> int1: ãã®ãœããœãLv.81ã¯è¥ããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬{B}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœããœãLv.81ã¯å«å³ã£ãããã fact2: ãã®ãœããœãLv.81ã¯ãããªã³ã°ããªããŠè¥ããªã ; $hypothesis$ = ãã®ãœããœãLv.81ã¯è¥ããªããã©ããã¯å«å³ã£ãããã ; $proof$ = | fact2 -> int1: ãã®ãœããœãLv.81ã¯è¥ããªã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: (¬{A}{a} & ¬{B}{a}) ; $hypothesis$ = (¬{B}{a} & {C}{a}) ; $proof$ = | fact2 -> int1: ¬{B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãããã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«ããã¯åžåããé£ããªãããšããããšã¯åœã§ããããšããããšã¯çå®ã§ãã | ¬(¬{D}{a} & ¬{C}{a}) | fact1: ãã®ãŽããŽã«ãLv.80ãèœã£ãã¡ããšãããšå·ä»ãæã fact2: ãã®ãŽããŽã«ãLv.80ã¯å·ä»ãæããªã fact3: ããä»®ã«ãã®ãŽããŽã«ãLv.80ãèœã£ãã¡ãªããšããã°ãã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«åžåããé£ããªã fact4: ãã®ãŽããŽã«ãLv.80ã¯å®ããªã fact5: ããä»®ã«ãã®ãŸããŸãLv.5ã¯èœã£ãã¡ããšãããããã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«ããã¯åžåããé£ããªãããšããããšã¯ééãã fact6: ãããã®ãŽããŽã«ãLv.80ãèœã£ãã¡ããšããããšã¯ãªããšããã°ããã¯å®ããªã | fact1: {A}{a} -> {B}{a} fact2: ¬{B}{a} fact3: ¬{A}{a} -> (¬{D}{a} & ¬{C}{a}) fact4: ¬{D}{a} fact5: {A}{b} -> ¬(¬{D}{a} & ¬{C}{a}) fact6: ¬{A}{a} -> ¬{D}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽã«ãLv.80ã¯èœã£ãã¡ã; fact1 & assump1 -> int1: ãã®ãŽããŽã«ãLv.80ã¯å·ä»ãæã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŽããŽã«ãLv.80ã¯èœã£ãã¡ãªã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{a}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact3 -> hypothesis;"
] | ãããã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«ããã¯åžåããé£ããªãããšããããšã¯åœã§ããããšããããšã¯çå®ã§ãã | ¬(¬{D}{a} & ¬{C}{a}) | [] | 5 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽã«ãLv.80ãèœã£ãã¡ããšãããšå·ä»ãæã fact2: ãã®ãŽããŽã«ãLv.80ã¯å·ä»ãæããªã fact3: ããä»®ã«ãã®ãŽããŽã«ãLv.80ãèœã£ãã¡ãªããšããã°ãã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«åžåããé£ããªã fact4: ãã®ãŽããŽã«ãLv.80ã¯å®ããªã fact5: ããä»®ã«ãã®ãŸããŸãLv.5ã¯èœã£ãã¡ããšãããããã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«ããã¯åžåããé£ããªãããšããããšã¯ééãã fact6: ãããã®ãŽããŽã«ãLv.80ãèœã£ãã¡ããšããããšã¯ãªããšããã°ããã¯å®ããªã ; $hypothesis$ = ãããã®ãŽããŽã«ãLv.80ã¯å®ããªããããŸãã«ããã¯åžåããé£ããªãããšããããšã¯åœã§ããããšããããšã¯çå®ã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽã«ãLv.80ã¯èœã£ãã¡ã; fact1 & assump1 -> int1: ãã®ãŽããŽã«ãLv.80ã¯å·ä»ãæã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŽããŽã«ãLv.80ã¯èœã£ãã¡ãªã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: ¬{B}{a} fact3: ¬{A}{a} -> (¬{D}{a} & ¬{C}{a}) fact4: ¬{D}{a} fact5: {A}{b} -> ¬(¬{D}{a} & ¬{C}{a}) fact6: ¬{A}{a} -> ¬{D}{a} ; $hypothesis$ = ¬(¬{D}{a} & ¬{C}{a}) ; $proof$ = | void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{a}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ããããLv.23ã¯æ¶Œããã埡çãŸãã«æããªãããšããããšã¯äºå®ã§ããããšããããšã¯èª€ã£ãŠãã | ¬({F}{a} & ¬{E}{a}) | fact1: ãã®ããããLv.23ã¯çŽã fact2: ãã®ãŽããŽãªLv.59ãè¿ãããå«å³ã£ãœããšããã°ããã®ããããLv.23ã¯åŸ¡çãŸãã«æããªãããšããããšã¯æãç«ã€ fact3: ãã®ãŽããŽãªLv.59ã¯è¿ãã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èª€ãç¡ããã©å ±ååºæ¥ãªã fact5: ãããã®ãŽããŽãªLv.59ã¯èª€ãç¡ãããããå ±ååºæ¥ãªããšããã°ããã®ãŽããŽãªLv.59ã¯å«å³ã£ãœãããšããããšã¯æãç«ã€ fact6: ãã®ããããLv.23ã¯æ¶Œãã | fact1: {FJ}{a} fact2: ({D}{aa} & {C}{aa}) -> ¬{E}{a} fact3: {D}{aa} fact4: (x): ({A}x & ¬{B}x) fact5: ({A}{aa} & ¬{B}{aa}) -> {C}{aa} fact6: {F}{a} | [
"fact4 -> int1: ãã®ãŽããŽãªLv.59ã¯èª€ãç¡ããããã¯å ±ååºæ¥ãªã; int1 & fact5 -> int2: ãã®ãŽããŽãªLv.59ã¯å«å³ã£ãœã; int2 & fact3 -> int3: ãã®ãŽããŽãªLv.59ã¯è¿ãããããã«å«å³ã£ãœã; int3 & fact2 -> int4: ãã®ããããLv.23ã¯åŸ¡çãŸãã«æããªã; int4 & fact6 -> hypothesis;"
] | [
"fact4 -> int1: ({A}{aa} & ¬{B}{aa}); int1 & fact5 -> int2: {C}{aa}; int2 & fact3 -> int3: ({D}{aa} & {C}{aa}); int3 & fact2 -> int4: ¬{E}{a}; int4 & fact6 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ããããLv.23ã¯çŽã fact2: ãã®ãŽããŽãªLv.59ãè¿ãããå«å³ã£ãœããšããã°ããã®ããããLv.23ã¯åŸ¡çãŸãã«æããªãããšããããšã¯æãç«ã€ fact3: ãã®ãŽããŽãªLv.59ã¯è¿ãã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èª€ãç¡ããã©å ±ååºæ¥ãªã fact5: ãããã®ãŽããŽãªLv.59ã¯èª€ãç¡ãããããå ±ååºæ¥ãªããšããã°ããã®ãŽããŽãªLv.59ã¯å«å³ã£ãœãããšããããšã¯æãç«ã€ fact6: ãã®ããããLv.23ã¯æ¶Œãã ; $hypothesis$ = ãããã®ããããLv.23ã¯æ¶Œããã埡çãŸãã«æããªãããšããããšã¯äºå®ã§ããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact4 -> int1: ãã®ãŽããŽãªLv.59ã¯èª€ãç¡ããããã¯å ±ååºæ¥ãªã; int1 & fact5 -> int2: ãã®ãŽããŽãªLv.59ã¯å«å³ã£ãœã; int2 & fact3 -> int3: ãã®ãŽããŽãªLv.59ã¯è¿ãããããã«å«å³ã£ãœã; int3 & fact2 -> int4: ãã®ããããLv.23ã¯åŸ¡çãŸãã«æããªã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {FJ}{a} fact2: ({D}{aa} & {C}{aa}) -> ¬{E}{a} fact3: {D}{aa} fact4: (x): ({A}x & ¬{B}x) fact5: ({A}{aa} & ¬{B}{aa}) -> {C}{aa} fact6: {F}{a} ; $hypothesis$ = ¬({F}{a} & ¬{E}{a}) ; $proof$ = | fact4 -> int1: ({A}{aa} & ¬{B}{aa}); int1 & fact5 -> int2: {C}{aa}; int2 & fact3 -> int3: ({D}{aa} & {C}{aa}); int3 & fact2 -> int4: ¬{E}{a}; int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | åãæããšããããšã¯èµ·ãããªãããŸãæµãåºãããšã¯çºçããªã | (¬{F} & ¬{G}) | fact1: éã³æããšããããšãçãããå ããŠäžè¶³ãæããšããããšãèµ·ãã fact2: 女ã£ãœããšããããšã¯èµ·ãããªã fact3: æãé£ããšããããšãèµ·ãã fact4: ãäžè¶³ãæããšããããšã¯çºçããªããéã³æããšããããšãçºçããããšããããšã¯å€æèŽãããšãåé¿ãã fact5: ããä»®ã«ããããã«ã
Lv.12äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããªããåãæããšããããšã¯çããªããæµãåºãããšã¯èµ·ãããªãããšããããšã¯æ£ãããªã fact6: 女ã£ãœããšããããšã¯çºçããªããšããããšã¯ãœããœãLv.51äºä»¶ã¯çºçããªããšããããšããŸãã¯ããããã«ã
Lv.12äºä»¶ã¯èµ·ããªãããšããããšããããã¯ã©ã¡ããã«ç¹ãã fact7: ä»®ã«ãããã«ã
Lv.12äºä»¶ãèµ·ãããšããã°ãåãæããšããããšãçãããæµãåºãããšã¯çããªãããšããããšã¯ééã£ãŠãã fact8: ãœããœãLv.51äºä»¶ãçºçãããšããããšã¯ãéã³æããšããããšãšæãé£ããšããããšãèµ·ããããšããããšã«é»ãŸãã fact9: ãããã«ã
Lv.12äºä»¶ãçããªããšããããšã¯ãœããœãLv.51äºä»¶ã¯çºçããªããšããããšã«é»ãŸãã | fact1: ({A} & {B}) fact2: ¬{H} fact3: {C} fact4: (¬{B} & {A}) -> ¬{JK} fact5: {E} -> ¬(¬{F} & ¬{G}) fact6: ¬{H} -> (¬{D} v ¬{E}) fact7: {E} -> ¬({F} & ¬{G}) fact8: ({A} & {C}) -> ¬{D} fact9: ¬{D} -> {E} | [
"fact1 -> int1: éã³æããšããããšãçãã; int1 & fact3 -> int2: éã³æããšããããšãçããããŸãæãé£ããšããããšãçºçãã; int2 & fact8 -> int3: ããœããœãLv.51äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãã; int3 & fact9 -> int4: ããããã«ã
Lv.12äºä»¶ãèµ·ããããšããããšã¯çå®ã ; int4 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact3 -> int2: ({A} & {C}); int2 & fact8 -> int3: ¬{D}; int3 & fact9 -> int4: {E}; int4 & fact5 -> hypothesis;"
] | åãæããšããããšã¯èµ·ãããªãããŸãæµãåºãããšã¯çºçããªã | (¬{F} & ¬{G}) | [
"fact10 & fact11 -> int5: ãœããœãLv.51äºä»¶ãèµ·ããªãããããã¯ãããã«ã
Lv.12äºä»¶ã¯çããªãããããã¯äž¡æ¹ãšãã§ãã;"
] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: éã³æããšããããšãçãããå ããŠäžè¶³ãæããšããããšãèµ·ãã fact2: 女ã£ãœããšããããšã¯èµ·ãããªã fact3: æãé£ããšããããšãèµ·ãã fact4: ãäžè¶³ãæããšããããšã¯çºçããªããéã³æããšããããšãçºçããããšããããšã¯å€æèŽãããšãåé¿ãã fact5: ããä»®ã«ããããã«ã
Lv.12äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããªããåãæããšããããšã¯çããªããæµãåºãããšã¯èµ·ãããªãããšããããšã¯æ£ãããªã fact6: 女ã£ãœããšããããšã¯çºçããªããšããããšã¯ãœããœãLv.51äºä»¶ã¯çºçããªããšããããšããŸãã¯ããããã«ã
Lv.12äºä»¶ã¯èµ·ããªãããšããããšããããã¯ã©ã¡ããã«ç¹ãã fact7: ä»®ã«ãããã«ã
Lv.12äºä»¶ãèµ·ãããšããã°ãåãæããšããããšãçãããæµãåºãããšã¯çããªãããšããããšã¯ééã£ãŠãã fact8: ãœããœãLv.51äºä»¶ãçºçãããšããããšã¯ãéã³æããšããããšãšæãé£ããšããããšãèµ·ããããšããããšã«é»ãŸãã fact9: ãããã«ã
Lv.12äºä»¶ãçããªããšããããšã¯ãœããœãLv.51äºä»¶ã¯çºçããªããšããããšã«é»ãŸãã ; $hypothesis$ = åãæããšããããšã¯èµ·ãããªãããŸãæµãåºãããšã¯çºçããªã ; $proof$ = | fact1 -> int1: éã³æããšããããšãçãã; int1 & fact3 -> int2: éã³æããšããããšãçããããŸãæãé£ããšããããšãçºçãã; int2 & fact8 -> int3: ããœããœãLv.51äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãã; int3 & fact9 -> int4: ããããã«ã
Lv.12äºä»¶ãèµ·ããããšããããšã¯çå®ã ; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{H} fact3: {C} fact4: (¬{B} & {A}) -> ¬{JK} fact5: {E} -> ¬(¬{F} & ¬{G}) fact6: ¬{H} -> (¬{D} v ¬{E}) fact7: {E} -> ¬({F} & ¬{G}) fact8: ({A} & {C}) -> ¬{D} fact9: ¬{D} -> {E} ; $hypothesis$ = (¬{F} & ¬{G}) ; $proof$ = | fact1 -> int1: {A}; int1 & fact3 -> int2: ({A} & {C}); int2 & fact8 -> int3: ¬{D}; int3 & fact9 -> int4: {E}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãããã®Lv.67ã¯å±ãããªãããšããããšã¯æ£ãã | ¬{E}{c} | fact1: ãã®ãããã®Lv.67ãæ°ãŸãããªãããããã¯åŒ·ãããŸãã¯äž¡æ¹ãšããªãã°ãã®ãããã®Lv.67ã¯å±ãã fact2: ãããããã®ãã«ã
ããLv.87ã¯æžãåããããŸãã¯ããçããªãããšããããšã¯åœã§ãããšãããããã¯æ°ãŸãããªã fact3: ãããã®ãœã¡ããœã«ãLv.7ã¯ããçããªããªãã°ããã®ãŽããŽãLv.48ã¯è³ããããæ ¹æ·±ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã fact4: ããä»®ã«ãã®ãœã¡ããœã«ãLv.7ãè³ããããªãããŸãã¯ãããäžæ£ä¹è»ãããšããããšã¯ãªããäž¡æ¹ã ãšãããšãã®ãœã¡ããœã«ãLv.7ã¯åããŸãããªã fact5: ä»®ã«ãã®ãã«ã
ããLv.87ãæ°ãŸãããªããšãããšãã®ãããã®Lv.67ã¯æ°ãŸãããšããããšã¯ãªãã匷ãããããã¯äž¡æ¹ãšãã§ãã fact6: ãã®ãœã¡ããœã«ãLv.7ã¯è³ããããªãããããã¯ããã¯äžæ£ä¹è»ããªã fact7: ãã®ãœã¡ããœã«ãLv.7ã¯åããŸãããªããªãããã®ãã«ã
ããLv.87ã¯æžãåãããããã¯ããçããªãããšããããšã¯åã§ãã | fact1: (¬{D}{c} v {F}{c}) -> {E}{c} fact2: ¬({C}{b} v ¬{A}{b}) -> ¬{D}{b} fact3: ¬{A}{a} -> ¬({AA}{ab} v ¬{GK}{ab}) fact4: (¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} fact5: ¬{D}{b} -> (¬{D}{c} v {F}{c}) fact6: (¬{AA}{a} v ¬{AB}{a}) fact7: ¬{B}{a} -> ¬({C}{b} v ¬{A}{b}) | [
"fact4 & fact6 -> int1: ãã®ãœã¡ããœã«ãLv.7ã¯åããŸãããªã; int1 & fact7 -> int2: ããã®ãã«ã
ããLv.87ã¯æžãåããããããã¯ããçããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯äºå®ãšç°ãªã; int2 & fact2 -> int3: ãã®ãã«ã
ããLv.87ã¯æ°ãŸãããšããããšã¯ãªã; int3 & fact5 -> int4: ãã®ãããã®Lv.67ã¯æ°ãŸãããšããããšã¯ãªãããããã¯ããã¯åŒ·ã; int4 & fact1 -> hypothesis;"
] | [
"fact4 & fact6 -> int1: ¬{B}{a}; int1 & fact7 -> int2: ¬({C}{b} v ¬{A}{b}); int2 & fact2 -> int3: ¬{D}{b}; int3 & fact5 -> int4: (¬{D}{c} v {F}{c}); int4 & fact1 -> hypothesis;"
] | ããã®ãŽããŽãLv.48ã¯è³ãããããããã¯ããã¯æ ¹æ·±ããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({AA}{ab} v ¬{GK}{ab}) | [] | 5 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãããã®Lv.67ãæ°ãŸãããªãããããã¯åŒ·ãããŸãã¯äž¡æ¹ãšããªãã°ãã®ãããã®Lv.67ã¯å±ãã fact2: ãããããã®ãã«ã
ããLv.87ã¯æžãåããããŸãã¯ããçããªãããšããããšã¯åœã§ãããšãããããã¯æ°ãŸãããªã fact3: ãããã®ãœã¡ããœã«ãLv.7ã¯ããçããªããªãã°ããã®ãŽããŽãLv.48ã¯è³ããããæ ¹æ·±ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã fact4: ããä»®ã«ãã®ãœã¡ããœã«ãLv.7ãè³ããããªãããŸãã¯ãããäžæ£ä¹è»ãããšããããšã¯ãªããäž¡æ¹ã ãšãããšãã®ãœã¡ããœã«ãLv.7ã¯åããŸãããªã fact5: ä»®ã«ãã®ãã«ã
ããLv.87ãæ°ãŸãããªããšãããšãã®ãããã®Lv.67ã¯æ°ãŸãããšããããšã¯ãªãã匷ãããããã¯äž¡æ¹ãšãã§ãã fact6: ãã®ãœã¡ããœã«ãLv.7ã¯è³ããããªãããããã¯ããã¯äžæ£ä¹è»ããªã fact7: ãã®ãœã¡ããœã«ãLv.7ã¯åããŸãããªããªãããã®ãã«ã
ããLv.87ã¯æžãåãããããã¯ããçããªãããšããããšã¯åã§ãã ; $hypothesis$ = ããã®ãããã®Lv.67ã¯å±ãããªãããšããããšã¯æ£ãã ; $proof$ = | fact4 & fact6 -> int1: ãã®ãœã¡ããœã«ãLv.7ã¯åããŸãããªã; int1 & fact7 -> int2: ããã®ãã«ã
ããLv.87ã¯æžãåããããããã¯ããçããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯äºå®ãšç°ãªã; int2 & fact2 -> int3: ãã®ãã«ã
ããLv.87ã¯æ°ãŸãããšããããšã¯ãªã; int3 & fact5 -> int4: ãã®ãããã®Lv.67ã¯æ°ãŸãããšããããšã¯ãªãããããã¯ããã¯åŒ·ã; int4 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{D}{c} v {F}{c}) -> {E}{c} fact2: ¬({C}{b} v ¬{A}{b}) -> ¬{D}{b} fact3: ¬{A}{a} -> ¬({AA}{ab} v ¬{GK}{ab}) fact4: (¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} fact5: ¬{D}{b} -> (¬{D}{c} v {F}{c}) fact6: (¬{AA}{a} v ¬{AB}{a}) fact7: ¬{B}{a} -> ¬({C}{b} v ¬{A}{b}) ; $hypothesis$ = ¬{E}{c} ; $proof$ = | fact4 & fact6 -> int1: ¬{B}{a}; int1 & fact7 -> int2: ¬({C}{b} v ¬{A}{b}); int2 & fact2 -> int3: ¬{D}{b}; int3 & fact5 -> int4: (¬{D}{c} v {F}{c}); int4 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã«ã
ãŽã®Lv.91ã¯çŠå§ããªãããšããããšã¯æ¬åœã§ãã | ¬{C}{a} | fact1: ãã®ãœã¡ããœã«Lv.91ã¯ç®å®ãé£ãããã©ããã¯æšããªã fact2: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãè²»çšåããããããã¯éªæ·±ããäž¡æ¹ãšãã§ãããšããã°ãã®ãŽã«ã
ãŽã®Lv.91ã¯çŠå§ããªã fact3: ä»®ã«ç®å®ãé£ãã¢ã³ã¹ã¿ãŒãæšããªããªãã°è²»çšåãã | fact1: ({AA}{aa} & ¬{AB}{aa}) fact2: (x): ({B}x v {A}x) -> ¬{C}{a} fact3: (x): ({AA}x & ¬{AB}x) -> {B}x | [
"fact3 -> int1: ä»®ã«ãã®ãœã¡ããœã«Lv.91ã¯ç®å®ãé£ããæšããªããšãããšãè²»çšåããããšããããšã¯æ£ãã; int1 & fact1 -> int2: ãã®ãœã¡ããœã«Lv.91ã¯è²»çšåãã; int2 -> int3: ãã®ãœã¡ããœã«Lv.91ã¯è²»çšåããããããã¯éªæ·±ã; int3 -> int4: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è²»çšåããããŸãã¯éªæ·±ã; int4 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 -> int3: ({B}{aa} v {A}{aa}); int3 -> int4: (Ex): ({B}x v {A}x); int4 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœã¡ããœã«Lv.91ã¯ç®å®ãé£ãããã©ããã¯æšããªã fact2: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãè²»çšåããããããã¯éªæ·±ããäž¡æ¹ãšãã§ãããšããã°ãã®ãŽã«ã
ãŽã®Lv.91ã¯çŠå§ããªã fact3: ä»®ã«ç®å®ãé£ãã¢ã³ã¹ã¿ãŒãæšããªããªãã°è²»çšåãã ; $hypothesis$ = ããã®ãŽã«ã
ãŽã®Lv.91ã¯çŠå§ããªãããšããããšã¯æ¬åœã§ãã ; $proof$ = | fact3 -> int1: ä»®ã«ãã®ãœã¡ããœã«Lv.91ã¯ç®å®ãé£ããæšããªããšãããšãè²»çšåããããšããããšã¯æ£ãã; int1 & fact1 -> int2: ãã®ãœã¡ããœã«Lv.91ã¯è²»çšåãã; int2 -> int3: ãã®ãœã¡ããœã«Lv.91ã¯è²»çšåããããããã¯éªæ·±ã; int3 -> int4: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è²»çšåããããŸãã¯éªæ·±ã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({AA}{aa} & ¬{AB}{aa}) fact2: (x): ({B}x v {A}x) -> ¬{C}{a} fact3: (x): ({AA}x & ¬{AB}x) -> {B}x ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact3 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 -> int3: ({B}{aa} v {A}{aa}); int3 -> int4: (Ex): ({B}x v {A}x); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ãããŠæŽã«èª¬æãæãããšããããšã¯ç¢ºãã§ãªã | ¬({G}{d} & {F}{d}) | fact1: ä»®ã«ãã®ãœã«ãœã¡ã
Lv.69ãæŸãäžãããªããã®ã¿ãã¿ã¡ãLv.78ã¯å¥œãŸã fact2: ãã®ãœã«ãœã¡ã
Lv.69ã¯æŸãäžãããå€èã fact3: ä»®ã«å¥œãŸãã¢ã³ã¹ã¿ãŒãå€èããšããã°ããã¯æŸãäžããªã fact4: ãæ¥ããããªãã¢ã³ã¹ã¿ãŒã¯å¥œãŸãããšããããšã¯æãç«ã€ fact5: ããä»®ã«ããã®ãœã«ãœã¡ã
Lv.69ã¯æŸãäžããªãããšããããšã¯æ¬åœã ãšãããšããã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ããããã€èª¬æãæãããšããããšã¯çå®ã§ãªã fact6: ãããã®ãŽã¡ããŽã¡ãLv.26ã现ããšããããšã¯ãªããæ¥ããããªããªããã®ã¿ã«ã¿ã®Lv.66ã¯èª¬æãæã fact7: ãããã®ãœã«ãœã¡ã
Lv.69ãå€èããšããã°ãã®ã¿ãã¿ã¡ãLv.78ã¯å¥œãŸã fact8: ããããã®ã¿ãã¿ã¡ãLv.78ã奜ãŸããªããã®ãŽã¡ããŽã¡ãLv.26ã¯æ¥ããããšããããšã¯ãªã fact9: ãã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ãã fact10: ä»®ã«ãã®ãŽã¡ããŽã¡ãLv.26ãæ¥ããããšããããšã¯ãªããªãã°ããã¯çŽ°ããªããŠæ¥ããããªã fact11: ä»®ã«ãã®ãŽã¡ããŽã¡ãLv.26ã现ããªãããããæ¥ããããšãããšãã®ã¿ã«ã¿ã®Lv.66ã¯èª¬æãæã | fact1: {A}{a} -> {C}{c} fact2: ({A}{a} v {B}{a}) fact3: (x): ({C}x & {B}x) -> ¬{A}x fact4: (x): ¬{D}x -> {C}x fact5: ¬{A}{a} -> ¬({G}{d} & {F}{d}) fact6: (¬{E}{b} & ¬{D}{b}) -> {F}{d} fact7: {B}{a} -> {C}{c} fact8: {C}{c} -> ¬{D}{b} fact9: {G}{d} fact10: ¬{D}{b} -> (¬{E}{b} & ¬{D}{b}) fact11: (¬{E}{b} & {D}{b}) -> {F}{d} | [
"fact2 & fact1 & fact7 -> int1: ãã®ã¿ãã¿ã¡ãLv.78ã¯å¥œãŸã; int1 & fact8 -> int2: ãã®ãŽã¡ããŽã¡ãLv.26ã¯æ¥ããããªã; int2 & fact10 -> int3: ãã®ãŽã¡ããŽã¡ãLv.26ã¯çŽ°ããªããŠããã«ããã¯æ¥ããããšããããšã¯ãªã; int3 & fact6 -> int4: ãã®ã¿ã«ã¿ã®Lv.66ã¯èª¬æãæã; int4 & fact9 -> hypothesis;"
] | [
"fact2 & fact1 & fact7 -> int1: {C}{c}; int1 & fact8 -> int2: ¬{D}{b}; int2 & fact10 -> int3: (¬{E}{b} & ¬{D}{b}); int3 & fact6 -> int4: {F}{d}; int4 & fact9 -> hypothesis;"
] | ããã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ãããŠæŽã«èª¬æãæãããšããããšã¯ç¢ºãã§ãªã | ¬({G}{d} & {F}{d}) | [
"fact14 -> int5: ããããã®ãœã«ãœã¡ã
Lv.69ã¯å¥œãŸããå€èããªãæŸãäžããªã; fact12 -> int6: ä»®ã«ãã®ãœã«ãœã¡ã
Lv.69ãæ¥ããããªããªãããã¯å¥œãŸã;"
] | 6 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœã«ãœã¡ã
Lv.69ãæŸãäžãããªããã®ã¿ãã¿ã¡ãLv.78ã¯å¥œãŸã fact2: ãã®ãœã«ãœã¡ã
Lv.69ã¯æŸãäžãããå€èã fact3: ä»®ã«å¥œãŸãã¢ã³ã¹ã¿ãŒãå€èããšããã°ããã¯æŸãäžããªã fact4: ãæ¥ããããªãã¢ã³ã¹ã¿ãŒã¯å¥œãŸãããšããããšã¯æãç«ã€ fact5: ããä»®ã«ããã®ãœã«ãœã¡ã
Lv.69ã¯æŸãäžããªãããšããããšã¯æ¬åœã ãšãããšããã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ããããã€èª¬æãæãããšããããšã¯çå®ã§ãªã fact6: ãããã®ãŽã¡ããŽã¡ãLv.26ã现ããšããããšã¯ãªããæ¥ããããªããªããã®ã¿ã«ã¿ã®Lv.66ã¯èª¬æãæã fact7: ãããã®ãœã«ãœã¡ã
Lv.69ãå€èããšããã°ãã®ã¿ãã¿ã¡ãLv.78ã¯å¥œãŸã fact8: ããããã®ã¿ãã¿ã¡ãLv.78ã奜ãŸããªããã®ãŽã¡ããŽã¡ãLv.26ã¯æ¥ããããšããããšã¯ãªã fact9: ãã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ãã fact10: ä»®ã«ãã®ãŽã¡ããŽã¡ãLv.26ãæ¥ããããšããããšã¯ãªããªãã°ããã¯çŽ°ããªããŠæ¥ããããªã fact11: ä»®ã«ãã®ãŽã¡ããŽã¡ãLv.26ã现ããªãããããæ¥ããããšãããšãã®ã¿ã«ã¿ã®Lv.66ã¯èª¬æãæã ; $hypothesis$ = ããã®ã¿ã«ã¿ã®Lv.66ã¯æ°é£ãããŠæŽã«èª¬æãæãããšããããšã¯ç¢ºãã§ãªã ; $proof$ = | fact2 & fact1 & fact7 -> int1: ãã®ã¿ãã¿ã¡ãLv.78ã¯å¥œãŸã; int1 & fact8 -> int2: ãã®ãŽã¡ããŽã¡ãLv.26ã¯æ¥ããããªã; int2 & fact10 -> int3: ãã®ãŽã¡ããŽã¡ãLv.26ã¯çŽ°ããªããŠããã«ããã¯æ¥ããããšããããšã¯ãªã; int3 & fact6 -> int4: ãã®ã¿ã«ã¿ã®Lv.66ã¯èª¬æãæã; int4 & fact9 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {C}{c} fact2: ({A}{a} v {B}{a}) fact3: (x): ({C}x & {B}x) -> ¬{A}x fact4: (x): ¬{D}x -> {C}x fact5: ¬{A}{a} -> ¬({G}{d} & {F}{d}) fact6: (¬{E}{b} & ¬{D}{b}) -> {F}{d} fact7: {B}{a} -> {C}{c} fact8: {C}{c} -> ¬{D}{b} fact9: {G}{d} fact10: ¬{D}{b} -> (¬{E}{b} & ¬{D}{b}) fact11: (¬{E}{b} & {D}{b}) -> {F}{d} ; $hypothesis$ = ¬({G}{d} & {F}{d}) ; $proof$ = | fact2 & fact1 & fact7 -> int1: {C}{c}; int1 & fact8 -> int2: ¬{D}{b}; int2 & fact10 -> int3: (¬{E}{b} & ¬{D}{b}); int3 & fact6 -> int4: {F}{d}; int4 & fact9 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.90ã¯çæ°ãããªããããã倩çããã | (¬{A}{b} & {D}{b}) | fact1: ããä»®ã«ãã®ãœããœã¡ãLv.78ã¯çæ°ãããªããªãããã®ã¿ã¡ãã¿ãLv.90ã¯çæ°ãããªãããããããã¯å€©çãããããšããããšã¯æãç«ããªã fact2: ããã®ããããLv.76ã¯è¯ãããããããã¯åŒçšããªãããšããããšã¯äºå®ã§ãªã fact3: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãçæ°ãããšããããšã¯ãªããªã身軜ã fact4: ããããã®ã¿ã¡ãã¿ãLv.90ãçæ°ãããšãããšãã®ãœããœã¡ãLv.78ã¯å¹
åºããªãããã©èº«è»œã fact5: ããã®ãœããœã¡ãLv.78ã¯èº«è»œãããšããããšã¯äºå®ã fact6: ããããã®ããããLv.76ãå¹
åºããªããã®ãœããœã¡ãLv.78ã¯èº«è»œãããšããããšã¯äºå®ã§ãã fact7: ãããã®ããããLv.76ã¯è¯ããŠåŒçšããããšããããšã¯åœã ããšããããšã¯æ£ãã fact8: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯è¯ããã©ããã¯åŒçšããªãããšããããšã¯èª€ã£ãŠããã°ããã¯å¹
åºã fact9: ãããããã®ããããLv.76ã¯å¹
åºãããšããããšã¯æãç«ãŠã°ãã®ãœããœã¡ãLv.78ã¯çæ°ãããªãäžæ¹ã§èº«è»œã | fact1: ¬{A}{a} -> ¬(¬{A}{b} & {D}{b}) fact2: ¬({AA}{aa} & ¬{AB}{aa}) fact3: (x): ¬{A}x -> {C}x fact4: {A}{b} -> (¬{B}{a} & {C}{a}) fact5: {C}{a} fact6: {B}{aa} -> {C}{a} fact7: ¬({AA}{aa} & {AB}{aa}) fact8: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact9: {B}{aa} -> (¬{A}{a} & {C}{a}) | [
"fact8 -> int1: ããã®ããããLv.76ã¯è¯ãäžæ¹ã§åŒçšããªãããšããããšã¯æãç«ããªããšããã°ããã¯å¹
åºã; int1 & fact2 -> int2: ãã®ããããLv.76ã¯å¹
åºã; int2 & fact9 -> int3: ãã®ãœããœã¡ãLv.78ã¯çæ°ãããšããããšã¯ãªãäžæ¹ã§ããã¯èº«è»œã; int3 -> int4: ãã®ãœããœã¡ãLv.78ã¯çæ°ãããªã; int4 & fact1 -> hypothesis;"
] | [
"fact8 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact2 -> int2: {B}{aa}; int2 & fact9 -> int3: (¬{A}{a} & {C}{a}); int3 -> int4: ¬{A}{a}; int4 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãœããœã¡ãLv.78ã¯çæ°ãããªããªãããã®ã¿ã¡ãã¿ãLv.90ã¯çæ°ãããªãããããããã¯å€©çãããããšããããšã¯æãç«ããªã fact2: ããã®ããããLv.76ã¯è¯ãããããããã¯åŒçšããªãããšããããšã¯äºå®ã§ãªã fact3: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãçæ°ãããšããããšã¯ãªããªã身軜ã fact4: ããããã®ã¿ã¡ãã¿ãLv.90ãçæ°ãããšãããšãã®ãœããœã¡ãLv.78ã¯å¹
åºããªãããã©èº«è»œã fact5: ããã®ãœããœã¡ãLv.78ã¯èº«è»œãããšããããšã¯äºå®ã fact6: ããããã®ããããLv.76ãå¹
åºããªããã®ãœããœã¡ãLv.78ã¯èº«è»œãããšããããšã¯äºå®ã§ãã fact7: ãããã®ããããLv.76ã¯è¯ããŠåŒçšããããšããããšã¯åœã ããšããããšã¯æ£ãã fact8: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯è¯ããã©ããã¯åŒçšããªãããšããããšã¯èª€ã£ãŠããã°ããã¯å¹
åºã fact9: ãããããã®ããããLv.76ã¯å¹
åºãããšããããšã¯æãç«ãŠã°ãã®ãœããœã¡ãLv.78ã¯çæ°ãããªãäžæ¹ã§èº«è»œã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.90ã¯çæ°ãããªããããã倩çããã ; $proof$ = | fact8 -> int1: ããã®ããããLv.76ã¯è¯ãäžæ¹ã§åŒçšããªãããšããããšã¯æãç«ããªããšããã°ããã¯å¹
åºã; int1 & fact2 -> int2: ãã®ããããLv.76ã¯å¹
åºã; int2 & fact9 -> int3: ãã®ãœããœã¡ãLv.78ã¯çæ°ãããšããããšã¯ãªãäžæ¹ã§ããã¯èº«è»œã; int3 -> int4: ãã®ãœããœã¡ãLv.78ã¯çæ°ãããªã; int4 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬(¬{A}{b} & {D}{b}) fact2: ¬({AA}{aa} & ¬{AB}{aa}) fact3: (x): ¬{A}x -> {C}x fact4: {A}{b} -> (¬{B}{a} & {C}{a}) fact5: {C}{a} fact6: {B}{aa} -> {C}{a} fact7: ¬({AA}{aa} & {AB}{aa}) fact8: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact9: {B}{aa} -> (¬{A}{a} & {C}{a}) ; $hypothesis$ = (¬{A}{b} & {D}{b}) ; $proof$ = | fact8 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact2 -> int2: {B}{aa}; int2 & fact9 -> int3: (¬{A}{a} & {C}{a}); int3 -> int4: ¬{A}{a}; int4 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽã«Lv.32ã¯ç¯ãé£ããšããããšã¯ãªã | ¬{D}{b} | fact1: ããããã®ãŸã¡ããŸãLv.18ã¯è¡ããªããšãããããã®ãŽã«ããŽã«Lv.32ã¯è³¢ããªããã©å€§äººãããšããããšã¯ééãã fact2: ããããã®ãŸã¡ããŸãLv.18ã¯åã眮ããªããšããã°ããã®ãŸã¡ããŸãLv.18ã¯é²åãæããªãããŸãã¯ã¿ã£ãšããªããäž¡æ¹ã ããšããããšã¯åã fact3: ãã®ãŸã¡ããŸãLv.18ã¯åã眮ããªã fact4: ããããã®ãŽã«ããŽã«Lv.32ã¯è³¢ããªããã©å€§äººãããšããããšã¯åœã§ãããªãç¯ãé£ã fact5: ä»®ã«ããã®ãŸã¡ããŸãLv.18ã¯é²åãæããªãããããã¯ã¿ã£ãšããªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã§ãããšãããšãã®ãŸã¡ããŸãLv.18ã¯è¡ããšããããšã¯ãªã | fact1: ¬{B}{a} -> ¬(¬{A}{b} & {C}{b}) fact2: ¬{E}{a} -> ¬(¬{AA}{a} v {AB}{a}) fact3: ¬{E}{a} fact4: ¬(¬{A}{b} & {C}{b}) -> {D}{b} fact5: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{a} | [
"fact2 & fact3 -> int1: ããã®ãŸã¡ããŸãLv.18ã¯é²åãæããšããããšã¯ãªãããããã¯ããã¯ã¿ã£ãšããªãããšããããšã¯ééã£ãŠãã; fact5 & int1 -> int2: ãã®ãŸã¡ããŸãLv.18ã¯è¡ããªã; int2 & fact1 -> int3: ããã®ãŽã«ããŽã«Lv.32ã¯è³¢ããªãã倧人ãããšããããšã¯åœã ; int3 & fact4 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ¬(¬{AA}{a} v {AB}{a}); fact5 & int1 -> int2: ¬{B}{a}; int2 & fact1 -> int3: ¬(¬{A}{b} & {C}{b}); int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãŸã¡ããŸãLv.18ã¯è¡ããªããšãããããã®ãŽã«ããŽã«Lv.32ã¯è³¢ããªããã©å€§äººãããšããããšã¯ééãã fact2: ããããã®ãŸã¡ããŸãLv.18ã¯åã眮ããªããšããã°ããã®ãŸã¡ããŸãLv.18ã¯é²åãæããªãããŸãã¯ã¿ã£ãšããªããäž¡æ¹ã ããšããããšã¯åã fact3: ãã®ãŸã¡ããŸãLv.18ã¯åã眮ããªã fact4: ããããã®ãŽã«ããŽã«Lv.32ã¯è³¢ããªããã©å€§äººãããšããããšã¯åœã§ãããªãç¯ãé£ã fact5: ä»®ã«ããã®ãŸã¡ããŸãLv.18ã¯é²åãæããªãããããã¯ã¿ã£ãšããªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã§ãããšãããšãã®ãŸã¡ããŸãLv.18ã¯è¡ããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽã«ããŽã«Lv.32ã¯ç¯ãé£ããšããããšã¯ãªã ; $proof$ = | fact2 & fact3 -> int1: ããã®ãŸã¡ããŸãLv.18ã¯é²åãæããšããããšã¯ãªãããããã¯ããã¯ã¿ã£ãšããªãããšããããšã¯ééã£ãŠãã; fact5 & int1 -> int2: ãã®ãŸã¡ããŸãLv.18ã¯è¡ããªã; int2 & fact1 -> int3: ããã®ãŽã«ããŽã«Lv.32ã¯è³¢ããªãã倧人ãããšããããšã¯åœã ; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{a} -> ¬(¬{A}{b} & {C}{b}) fact2: ¬{E}{a} -> ¬(¬{AA}{a} v {AB}{a}) fact3: ¬{E}{a} fact4: ¬(¬{A}{b} & {C}{b}) -> {D}{b} fact5: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact2 & fact3 -> int1: ¬(¬{AA}{a} v {AB}{a}); fact5 & int1 -> int2: ¬{B}{a}; int2 & fact1 -> int3: ¬(¬{A}{b} & {C}{b}); int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã®ãŽã«ãLv.14ã¯åããªã | ¬{A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æã£ãã fact2: ããã®ãŽããŽã¡ã
Lv.88ã¯åããããšããããšã¯ç¢ºãã§ãã fact3: ãã®ãŽã®ãŽã«ãLv.14ã¯éè³ãæã | fact1: (x): {EB}x fact2: {A}{gf} fact3: {ED}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æã£ãã fact2: ããã®ãŽããŽã¡ã
Lv.88ã¯åããããšããããšã¯ç¢ºãã§ãã fact3: ãã®ãŽã®ãŽã«ãLv.14ã¯éè³ãæã ; $hypothesis$ = ãã®ãŽã®ãŽã«ãLv.14ã¯åããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {EB}x fact2: {A}{gf} fact3: {ED}{a} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããäŒããããšãçºçãã | {A} | fact1: ããã¿ãã¿ãLv.22äºä»¶ãçºçãããã·ãã·ã¡ãLv.64äºä»¶ãçºçããªããšããããããã®Lv.32äºä»¶ã¯çããªã fact2: 埡äŸãããããšã¯çºçããªã fact3: ãã·ã¡ãã·ãLv.19äºä»¶ã¯çããªããããããœã«ãœã¡ãLv.27äºä»¶ãçããããšããããšã¯æãç«ããªã fact4: ãœã«ãœã«ãLv.9äºä»¶ã§ã¯ãªãã·ã«ãã·ã¡ãLv.86äºä»¶ãèµ·ãã fact5: ãŽã«ãŽã¡ã
Lv.4äºä»¶ãçããäžæ¹ã§ã·ã«ã·ã«Lv.66äºä»¶ã¯èµ·ããªã fact6: ã¿ãã¿ãLv.22äºä»¶ãèµ·ãããã·ãã·ã¡ãLv.64äºä»¶ã¯çããªã | fact1: ({AA} & ¬{AB}) -> ¬{B} fact2: ¬{IH} fact3: ¬(¬{IL} & {BI}) fact4: (¬{BS} & {HK}) fact5: ({S} & ¬{IT}) fact6: ({AA} & ¬{AB}) | [
"fact1 & fact6 -> int1: ãããã®Lv.32äºä»¶ã¯èµ·ãããªã; void -> assump1: 以äžã®ããã«ä»®å®ãããäŒããããšãçºçãã; int1 & assump1 -> int2: ãããã®Lv.32äºä»¶ã¯çºçããªãããããäŒããããšãçãã;"
] | [
"fact1 & fact6 -> int1: ¬{B}; void -> assump1: {A}; int1 & assump1 -> int2: (¬{B} & {A});"
] | null | null | [] | null | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã¿ãã¿ãLv.22äºä»¶ãçºçãããã·ãã·ã¡ãLv.64äºä»¶ãçºçããªããšããããããã®Lv.32äºä»¶ã¯çããªã fact2: 埡äŸãããããšã¯çºçããªã fact3: ãã·ã¡ãã·ãLv.19äºä»¶ã¯çããªããããããœã«ãœã¡ãLv.27äºä»¶ãçããããšããããšã¯æãç«ããªã fact4: ãœã«ãœã«ãLv.9äºä»¶ã§ã¯ãªãã·ã«ãã·ã¡ãLv.86äºä»¶ãèµ·ãã fact5: ãŽã«ãŽã¡ã
Lv.4äºä»¶ãçããäžæ¹ã§ã·ã«ã·ã«Lv.66äºä»¶ã¯èµ·ããªã fact6: ã¿ãã¿ãLv.22äºä»¶ãèµ·ãããã·ãã·ã¡ãLv.64äºä»¶ã¯çããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããäŒããããšãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({AA} & ¬{AB}) -> ¬{B} fact2: ¬{IH} fact3: ¬(¬{IL} & {BI}) fact4: (¬{BS} & {HK}) fact5: ({S} & ¬{IT}) fact6: ({AA} & ¬{AB}) ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ãã·ãLv.6ã¯ææ¿ãã | {G}{c} | fact1: ããã®ã¿ã¡ãã¿ãLv.45ã¯èžèŠããäžæ¹ã§åµ©åŒµããªãããšããããšã¯åã§ãããªããæã£åãæ©ãããšããããšã¯æãç«ã€ fact2: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.45ã¯æã£åãæ©ããªãã°ãåãèŸããšããããšã¯ãªããŠããã¯ãã€ããããšããããšã¯æãç«ããªã fact3: ããã®ã¿ãã¿ã¡ã
Lv.54ã¯åµ©åŒµãããšããããšã¯æãç«ãŠã°ããã®ã¿ã¡ãã¿ãLv.45ã¯èžèŠãããããã嵩匵ããªãããšããããšã¯æãç«ããªã fact4: ãããããã®ã¿ã¡ãã¿ãLv.45ã¯åãèŸããšããããšã¯ãªããããããã€ããããšããããšã¯ééã£ãŠãããšããããã®ã·ã«ãã·ãLv.6ã¯ææ¿ãã fact5: ãã®ã¿ãã¿ã¡ã
Lv.54ã¯å¿äœç¡ããŠããã«åµ©åŒµã | fact1: ¬({D}{b} & ¬{B}{b}) -> {C}{b} fact2: {C}{b} -> ¬(¬{F}{b} & {E}{b}) fact3: {B}{a} -> ¬({D}{b} & ¬{B}{b}) fact4: ¬(¬{F}{b} & {E}{b}) -> {G}{c} fact5: ({A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ã¿ãã¿ã¡ã
Lv.54ã¯åµ©åŒµã; int1 & fact3 -> int2: ããã®ã¿ã¡ãã¿ãLv.45ã¯èžèŠããããã©ããã¯åµ©åŒµããªãããšããããšã¯æãç«ããªã; int2 & fact1 -> int3: ãã®ã¿ã¡ãã¿ãLv.45ã¯æã£åãæ©ã; int3 & fact2 -> int4: ãããã®ã¿ã¡ãã¿ãLv.45ã¯åãèŸããªããããããã€ããããšããããšã¯æãç«ã€ããšããããšã¯èª€ã£ãŠãã; int4 & fact4 -> hypothesis;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact3 -> int2: ¬({D}{b} & ¬{B}{b}); int2 & fact1 -> int3: {C}{b}; int3 & fact2 -> int4: ¬(¬{F}{b} & {E}{b}); int4 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ã¿ã¡ãã¿ãLv.45ã¯èžèŠããäžæ¹ã§åµ©åŒµããªãããšããããšã¯åã§ãããªããæã£åãæ©ãããšããããšã¯æãç«ã€ fact2: ä»®ã«ãã®ã¿ã¡ãã¿ãLv.45ã¯æã£åãæ©ããªãã°ãåãèŸããšããããšã¯ãªããŠããã¯ãã€ããããšããããšã¯æãç«ããªã fact3: ããã®ã¿ãã¿ã¡ã
Lv.54ã¯åµ©åŒµãããšããããšã¯æãç«ãŠã°ããã®ã¿ã¡ãã¿ãLv.45ã¯èžèŠãããããã嵩匵ããªãããšããããšã¯æãç«ããªã fact4: ãããããã®ã¿ã¡ãã¿ãLv.45ã¯åãèŸããšããããšã¯ãªããããããã€ããããšããããšã¯ééã£ãŠãããšããããã®ã·ã«ãã·ãLv.6ã¯ææ¿ãã fact5: ãã®ã¿ãã¿ã¡ã
Lv.54ã¯å¿äœç¡ããŠããã«åµ©åŒµã ; $hypothesis$ = ãã®ã·ã«ãã·ãLv.6ã¯ææ¿ãã ; $proof$ = | fact5 -> int1: ãã®ã¿ãã¿ã¡ã
Lv.54ã¯åµ©åŒµã; int1 & fact3 -> int2: ããã®ã¿ã¡ãã¿ãLv.45ã¯èžèŠããããã©ããã¯åµ©åŒµããªãããšããããšã¯æãç«ããªã; int2 & fact1 -> int3: ãã®ã¿ã¡ãã¿ãLv.45ã¯æã£åãæ©ã; int3 & fact2 -> int4: ãããã®ã¿ã¡ãã¿ãLv.45ã¯åãèŸããªããããããã€ããããšããããšã¯æãç«ã€ããšããããšã¯èª€ã£ãŠãã; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({D}{b} & ¬{B}{b}) -> {C}{b} fact2: {C}{b} -> ¬(¬{F}{b} & {E}{b}) fact3: {B}{a} -> ¬({D}{b} & ¬{B}{b}) fact4: ¬(¬{F}{b} & {E}{b}) -> {G}{c} fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = {G}{c} ; $proof$ = | fact5 -> int1: {B}{a}; int1 & fact3 -> int2: ¬({D}{b} & ¬{B}{b}); int2 & fact1 -> int3: {C}{b}; int3 & fact2 -> int4: ¬(¬{F}{b} & {E}{b}); int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | ç²ãæããšããããšã¯ãŸããŸã«ãLv.89äºä»¶ã¯èµ·ããªããšããããšãé²ã | {A} -> {B} | fact1: ãæŒãç¡ããšããããšã¯çããªããæã¡æããããšã¯çããªãããšããããšã¯ãŸããŸã«ãLv.89äºä»¶ã®åå ãšãªã fact2: ç²ãæããšããããšã¯æã¡æããããšãé²ã | fact1: (¬{AA} & ¬{AB}) -> {B} fact2: {A} -> ¬{AB} | [] | [] | null | null | [] | null | 4 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãæŒãç¡ããšããããšã¯çããªããæã¡æããããšã¯çããªãããšããããšã¯ãŸããŸã«ãLv.89äºä»¶ã®åå ãšãªã fact2: ç²ãæããšããããšã¯æã¡æããããšãé²ã ; $hypothesis$ = ç²ãæããšããããšã¯ãŸããŸã«ãLv.89äºä»¶ã¯èµ·ããªããšããããšãé²ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA} & ¬{AB}) -> {B} fact2: {A} -> ¬{AB} ; $hypothesis$ = {A} -> {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ã«ã¿ã«ã
Lv.48ã¯æ¢ãã©ç¡ãããããã¯ç±ã£ãœãããŸãã¯ã©ã¡ããã ããšããããšã¯ééãã | ¬({A}{c} v {C}{c}) | fact1: èãé£ããªãã¢ã³ã¹ã¿ãŒã¯æ¢ãã©ç¡ãããããã¯ç±ã£ãœãããããã¯äž¡æ¹ã fact2: ããã®ã·ã¡ãã·ã«Lv.72ã¯æ¢ãã©ç¡ãããšããããšã¯åœã ãšããããšã¯ãªããšãããšããã®ãã«ãããLv.67ã¯æ°é«ããªãããã©æ
ææ·±ãããšããããšã¯ééãã§ãã fact3: ãã®ãã«ãããLv.67ã¯æ°é«ããšããããšã¯ãªãäžæ¹ã§æ
ææ·±ã | fact1: (x): ¬{B}x -> ({A}x v {C}x) fact2: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact3: (¬{AA}{b} & {AB}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã¡ãã·ã«Lv.72ã¯æ¢ãã©ç¡ã; fact2 & assump1 -> int1: ããã®ãã«ãããLv.67ã¯æ°é«ããªãããã©æ
ææ·±ãããšããããšã¯æãç«ããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ã¡ãã·ã«Lv.72ã¯æ¢ãã©ç¡ããªã;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a};"
] | ãã®ã¿ã«ã¿ã«ã
Lv.48ã¯æ¢ãã©ç¡ãããããã¯ç±ã£ãœã | ({A}{c} v {C}{c}) | [
"fact4 -> int4: ãããã®ã¿ã«ã¿ã«ã
Lv.48ãèãé£ããªããšããã°ãã®ã¿ã«ã¿ã«ã
Lv.48ã¯æ¢ãã©ç¡ãããããã¯ç±ã£ãœã;"
] | 4 | 5 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èãé£ããªãã¢ã³ã¹ã¿ãŒã¯æ¢ãã©ç¡ãããããã¯ç±ã£ãœãããããã¯äž¡æ¹ã fact2: ããã®ã·ã¡ãã·ã«Lv.72ã¯æ¢ãã©ç¡ãããšããããšã¯åœã ãšããããšã¯ãªããšãããšããã®ãã«ãããLv.67ã¯æ°é«ããªãããã©æ
ææ·±ãããšããããšã¯ééãã§ãã fact3: ãã®ãã«ãããLv.67ã¯æ°é«ããšããããšã¯ãªãäžæ¹ã§æ
ææ·±ã ; $hypothesis$ = ããã®ã¿ã«ã¿ã«ã
Lv.48ã¯æ¢ãã©ç¡ãããããã¯ç±ã£ãœãããŸãã¯ã©ã¡ããã ããšããããšã¯ééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{B}x -> ({A}x v {C}x) fact2: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact3: (¬{AA}{b} & {AB}{b}) ; $hypothesis$ = ¬({A}{c} v {C}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | åŸé£ããšããããšã¯çºçããªã | ¬{D} | fact1: ããæã£ãããšããããšã¯çºçããªããšããã°ãå¿ãŸå¿ãŸãããšããããšã¯çããªããŠããŸãã«å
¥ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯åœã§ãã fact2: ãããå¿ãŸå¿ãŸãããšããããšã¯çããªãããã®äžå
¥ãé£ããšããããšã¯çããªãããšããããšã¯ééã£ãŠããã°åŸé£ããšããããšã¯çºçããªã fact3: ãŽã¡ã
ãŽãLv.87äºä»¶ãçºçãã fact4: ãããŽã¡ã
ãŽãLv.87äºä»¶ãèµ·ããã°ã女ã®åããããšããããšãèµ·ãããããã説ã絊ãããšã¯çããªãããšããããšã¯èª€ãã | fact1: ¬{B} -> ¬(¬{A} & ¬{C}) fact2: ¬(¬{A} & ¬{C}) -> ¬{D} fact3: {E} fact4: {E} -> ¬({AA} & ¬{AB}) | [
"fact3 & fact4 -> int1: ã女ã®åããããšããããšãçããããã©èª¬ã絊ãããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªã;"
] | [
"fact3 & fact4 -> int1: ¬({AA} & ¬{AB});"
] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããæã£ãããšããããšã¯çºçããªããšããã°ãå¿ãŸå¿ãŸãããšããããšã¯çããªããŠããŸãã«å
¥ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯åœã§ãã fact2: ãããå¿ãŸå¿ãŸãããšããããšã¯çããªãããã®äžå
¥ãé£ããšããããšã¯çããªãããšããããšã¯ééã£ãŠããã°åŸé£ããšããããšã¯çºçããªã fact3: ãŽã¡ã
ãŽãLv.87äºä»¶ãçºçãã fact4: ãããŽã¡ã
ãŽãLv.87äºä»¶ãèµ·ããã°ã女ã®åããããšããããšãèµ·ãããããã説ã絊ãããšã¯çããªãããšããããšã¯èª€ãã ; $hypothesis$ = åŸé£ããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ¬(¬{A} & ¬{C}) fact2: ¬(¬{A} & ¬{C}) -> ¬{D} fact3: {E} fact4: {E} -> ¬({AA} & ¬{AB}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ããããããšããããšã¯èµ·ãããªã | ¬{E} | fact1: ããããŸããŸãLv.38äºä»¶ãçºçãããšããããŸã¡ã
ãŸãLv.3äºä»¶ã¯çºçããªãããŸãã¯å€©äœ¿ããããšããããšã¯èµ·ãããªãããããã¯ã©ã¡ããã§ãã fact2: ä»®ã«ãããœããœã¡ãLv.67äºä»¶ã¯çããªãããã©é©åãããšãèµ·ããããšããããšã¯æ£ããããšããããšã¯äºå®ãšç°ãªããšããã°ããŽã«ã
ãŽã«ãLv.86äºä»¶ãèµ·ããããšããããšã¯æ¬åœã fact3: ããŽã«ã
ãŽã«ãLv.86äºä»¶ããã³ãŸã¡ã
ãŸãLv.3äºä»¶äž¡æ¹ãšããçããããšããããšã¯å€©äœ¿ããããšããããšãé»æ¢ãã fact4: ã倩䜿ããããšããããšã¯çããªãããšããããšã¯ããããããšããããšã¯çããªããšããããšãé²ã fact5: ããããLv.72äºä»¶ãçºçãã fact6: ããããLv.72äºä»¶ã¯çããªããšãããšããŽã«ã
ãŽã«ãLv.86äºä»¶ã¯çºçããªããŠããããããšããããšãèµ·ããããšããããšã¯åœã§ãã fact7: ãŸã¡ã
ãŸãLv.3äºä»¶ãçãã fact8: ããããããLv.72äºä»¶ãèµ·ãããšããã°ããœããœã¡ãLv.67äºä»¶ã¯çããªããé©åãããšãèµ·ããããšããããšã¯æ£ãããªã | fact1: {F} -> (¬{C} v ¬{D}) fact2: ¬(¬{AA} & {AB}) -> {B} fact3: ({B} & {C}) -> ¬{D} fact4: ¬{D} -> {E} fact5: {A} fact6: ¬{A} -> ¬(¬{B} & {E}) fact7: {C} fact8: {A} -> ¬(¬{AA} & {AB}) | [
"fact8 & fact5 -> int1: ããœããœã¡ãLv.67äºä»¶ã¯èµ·ããªããŠé©åãããšãçããããšããããšã¯æãç«ããªã; int1 & fact2 -> int2: ãŽã«ã
ãŽã«ãLv.86äºä»¶ãèµ·ãã; int2 & fact7 -> int3: ãŽã«ã
ãŽã«ãLv.86äºä»¶ãèµ·ããããã€ãŸã¡ã
ãŸãLv.3äºä»¶ãèµ·ãã; int3 & fact3 -> int4: 倩䜿ããããšããããšã¯èµ·ããªã; int4 & fact4 -> hypothesis;"
] | [
"fact8 & fact5 -> int1: ¬(¬{AA} & {AB}); int1 & fact2 -> int2: {B}; int2 & fact7 -> int3: ({B} & {C}); int3 & fact3 -> int4: ¬{D}; int4 & fact4 -> hypothesis;"
] | ããããããšããããšã¯èµ·ãããªã | ¬{E} | [] | 7 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããŸããŸãLv.38äºä»¶ãçºçãããšããããŸã¡ã
ãŸãLv.3äºä»¶ã¯çºçããªãããŸãã¯å€©äœ¿ããããšããããšã¯èµ·ãããªãããããã¯ã©ã¡ããã§ãã fact2: ä»®ã«ãããœããœã¡ãLv.67äºä»¶ã¯çããªãããã©é©åãããšãèµ·ããããšããããšã¯æ£ããããšããããšã¯äºå®ãšç°ãªããšããã°ããŽã«ã
ãŽã«ãLv.86äºä»¶ãèµ·ããããšããããšã¯æ¬åœã fact3: ããŽã«ã
ãŽã«ãLv.86äºä»¶ããã³ãŸã¡ã
ãŸãLv.3äºä»¶äž¡æ¹ãšããçããããšããããšã¯å€©äœ¿ããããšããããšãé»æ¢ãã fact4: ã倩䜿ããããšããããšã¯çããªãããšããããšã¯ããããããšããããšã¯çããªããšããããšãé²ã fact5: ããããLv.72äºä»¶ãçºçãã fact6: ããããLv.72äºä»¶ã¯çããªããšãããšããŽã«ã
ãŽã«ãLv.86äºä»¶ã¯çºçããªããŠããããããšããããšãèµ·ããããšããããšã¯åœã§ãã fact7: ãŸã¡ã
ãŸãLv.3äºä»¶ãçãã fact8: ããããããLv.72äºä»¶ãèµ·ãããšããã°ããœããœã¡ãLv.67äºä»¶ã¯çããªããé©åãããšãèµ·ããããšããããšã¯æ£ãããªã ; $hypothesis$ = ããããããšããããšã¯èµ·ãããªã ; $proof$ = | fact8 & fact5 -> int1: ããœããœã¡ãLv.67äºä»¶ã¯èµ·ããªããŠé©åãããšãçããããšããããšã¯æãç«ããªã; int1 & fact2 -> int2: ãŽã«ã
ãŽã«ãLv.86äºä»¶ãèµ·ãã; int2 & fact7 -> int3: ãŽã«ã
ãŽã«ãLv.86äºä»¶ãèµ·ããããã€ãŸã¡ã
ãŸãLv.3äºä»¶ãèµ·ãã; int3 & fact3 -> int4: 倩䜿ããããšããããšã¯èµ·ããªã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F} -> (¬{C} v ¬{D}) fact2: ¬(¬{AA} & {AB}) -> {B} fact3: ({B} & {C}) -> ¬{D} fact4: ¬{D} -> {E} fact5: {A} fact6: ¬{A} -> ¬(¬{B} & {E}) fact7: {C} fact8: {A} -> ¬(¬{AA} & {AB}) ; $hypothesis$ = ¬{E} ; $proof$ = | fact8 & fact5 -> int1: ¬(¬{AA} & {AB}); int1 & fact2 -> int2: {B}; int2 & fact7 -> int3: ({B} & {C}); int3 & fact3 -> int4: ¬{D}; int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ã·ãã·ãLv.75äºä»¶ãèµ·ãã | {C} | fact1: ãœã¡ã
ãœã«ãLv.85äºä»¶ããã³ã¿ã«ã¿ãLv.44äºä»¶ãèµ·ããã¯ããœããœã¡ã
Lv.88äºä»¶ã¯èµ·ãããªãããšããããšãåå ã fact2: ã·ãã·ãLv.75äºä»¶ã¯ç»å±±å®¶ããããšããããšãæºãŸãæããšããããšã«é»ãŸãã fact3: ç»å±±å®¶ããããšããããšãçãã fact4: ããããœã¡ã
ãœã«ãLv.85äºä»¶ãçºçãããšãããšã·ã«ãã·ã«ãLv.37äºä»¶ã¯çºçãããæºãŸãæããšããããšã¯çºçããªã | fact1: ¬{G} -> ({E} & {F}) fact2: ({A} v {B}) -> ¬{C} fact3: {A} fact4: {E} -> ({D} & ¬{B}) | [
"fact3 -> int1: ãç»å±±å®¶ããããšããããšããŸãã¯æºãŸãæããšããããšããããã¯äž¡æ¹ãšããèµ·ããããšããããšã¯æ¬åœã§ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis;"
] | ã·ãã·ãLv.75äºä»¶ãèµ·ãã | {C} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœã¡ã
ãœã«ãLv.85äºä»¶ããã³ã¿ã«ã¿ãLv.44äºä»¶ãèµ·ããã¯ããœããœã¡ã
Lv.88äºä»¶ã¯èµ·ãããªãããšããããšãåå ã fact2: ã·ãã·ãLv.75äºä»¶ã¯ç»å±±å®¶ããããšããããšãæºãŸãæããšããããšã«é»ãŸãã fact3: ç»å±±å®¶ããããšããããšãçãã fact4: ããããœã¡ã
ãœã«ãLv.85äºä»¶ãçºçãããšãããšã·ã«ãã·ã«ãLv.37äºä»¶ã¯çºçãããæºãŸãæããšããããšã¯çºçããªã ; $hypothesis$ = ã·ãã·ãLv.75äºä»¶ãèµ·ãã ; $proof$ = | fact3 -> int1: ãç»å±±å®¶ããããšããããšããŸãã¯æºãŸãæããšããããšããããã¯äž¡æ¹ãšããèµ·ããããšããããšã¯æ¬åœã§ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{G} -> ({E} & {F}) fact2: ({A} v {B}) -> ¬{C} fact3: {A} fact4: {E} -> ({D} & ¬{B}) ; $hypothesis$ = {C} ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããããã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æªãããšããããšã¯çå®ã | {A}{aa} | fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ
ãŸãããšããã°ãããã¯çœã£ãœããªãããšããããšã¯ç¢ºãã§ãã fact2: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãæªããšãããæ£åžžåãããšããããšã¯ãªã fact3: ãã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æ£åžžåãã fact4: ãã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯ç Žãé£ããªã | fact1: (x): {EF}x -> ¬{BN}x fact2: (x): {A}x -> ¬{C}x fact3: {C}{aa} fact4: ¬{IE}{aa} | [
"fact2 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.40ãæªããšãããšããã¯æ£åžžåãããšããããšã¯ãªã; void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æªãããšããããšã¯çå®ã ; int1 & assump1 -> int2: ãã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æ£åžžåããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact2 -> int1: {A}{aa} -> ¬{C}{aa}; void -> assump1: {A}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ
ãŸãããšããã°ãããã¯çœã£ãœããªãããšããããšã¯ç¢ºãã§ãã fact2: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãæªããšãããæ£åžžåãããšããããšã¯ãªã fact3: ãã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æ£åžžåãã fact4: ãã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯ç Žãé£ããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æªãããšããããšã¯çå®ã ; $proof$ = | fact2 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.40ãæªããšãããšããã¯æ£åžžåãããšããããšã¯ãªã; void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æªãããšããããšã¯çå®ã ; int1 & assump1 -> int2: ãã®ã¿ã«ãã¿ã¡ã
Lv.40ã¯æ£åžžåããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {EF}x -> ¬{BN}x fact2: (x): {A}x -> ¬{C}x fact3: {C}{aa} fact4: ¬{IE}{aa} ; $hypothesis$ = {A}{aa} ; $proof$ = | fact2 -> int1: {A}{aa} -> ¬{C}{aa}; void -> assump1: {A}{aa}; int1 & assump1 -> int2: ¬{C}{aa}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœã«Lv.25ã¯å€ªãæã | {C}{b} | fact1: ãã®ãããã«ã
Lv.45ãè¿·ä¿¡æ·±ããªããªãæèšãããããé¢ä¿æ·±ã fact2: ãã®ãããã«ã
Lv.45ã¯æµªè²»ããªã fact3: ãã®ãããã«ã
Lv.45ã¯é¢ä¿æ·±ã fact4: ãã®ãããã«ã
Lv.45ãæèšãããããããã浪費ããªããšãããšãã®ãœããœã«Lv.25ã¯å€ªãæã fact5: ãã®ãããã«ã
Lv.45ã¯è¿·ä¿¡æ·±ããªã | fact1: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact2: ¬{B}{a} fact3: {AB}{a} fact4: ({AA}{a} & ¬{B}{a}) -> {C}{b} fact5: ¬{A}{a} | [
"fact1 & fact5 -> int1: ãã®ãããã«ã
Lv.45ã¯æèšãããŸãããã¯é¢ä¿æ·±ã; int1 -> int2: ãã®ãããã«ã
Lv.45ã¯æèšã; int2 & fact2 -> int3: ãã®ãããã«ã
Lv.45ã¯æèšãããã©æµªè²»ããªã; int3 & fact4 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ({AA}{a} & {AB}{a}); int1 -> int2: {AA}{a}; int2 & fact2 -> int3: ({AA}{a} & ¬{B}{a}); int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãããã«ã
Lv.45ãè¿·ä¿¡æ·±ããªããªãæèšãããããé¢ä¿æ·±ã fact2: ãã®ãããã«ã
Lv.45ã¯æµªè²»ããªã fact3: ãã®ãããã«ã
Lv.45ã¯é¢ä¿æ·±ã fact4: ãã®ãããã«ã
Lv.45ãæèšãããããããã浪費ããªããšãããšãã®ãœããœã«Lv.25ã¯å€ªãæã fact5: ãã®ãããã«ã
Lv.45ã¯è¿·ä¿¡æ·±ããªã ; $hypothesis$ = ãã®ãœããœã«Lv.25ã¯å€ªãæã ; $proof$ = | fact1 & fact5 -> int1: ãã®ãããã«ã
Lv.45ã¯æèšãããŸãããã¯é¢ä¿æ·±ã; int1 -> int2: ãã®ãããã«ã
Lv.45ã¯æèšã; int2 & fact2 -> int3: ãã®ãããã«ã
Lv.45ã¯æèšãããã©æµªè²»ããªã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact2: ¬{B}{a} fact3: {AB}{a} fact4: ({AA}{a} & ¬{B}{a}) -> {C}{b} fact5: ¬{A}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact5 -> int1: ({AA}{a} & {AB}{a}); int1 -> int2: {AA}{a}; int2 & fact2 -> int3: ({AA}{a} & ¬{B}{a}); int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãããããã®ãããã«Lv.89ã¯å髪ããããšããããšã¯äºå®ã§ãããšããã°ãã®ãããã«Lv.89ã¯æã¡é£ãããšããããšã¯æãç«ããªã | ¬({A}{a} -> {D}{a}) | fact1: ãããã®ãŸããŸãLv.19ãæã¡é£ããªããšãããšãã®ãŸããŸãLv.19ã¯å髪ãããéãå§ãã fact2: ãã®ãããã«Lv.89ã¯éãå§ãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.1ãé£ã¹æããããŸãã«å±éãæããšããã°ãã®ã·ãã·ãLv.1ã¯èµ·ãé£ããªã fact4: ããä»®ã«ãã®ãããã«Lv.89ãå髪ãããæŽã«éãå§ãããšããããã®ãããã«Lv.89ã¯å¿ããªããªã | fact1: ¬{D}{dg} -> ({A}{dg} & {B}{dg}) fact2: {B}{a} fact3: ({DA}{jb} & {P}{jb}) -> ¬{CT}{jb} fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãããã«Lv.89ã¯å髪ãã; assump1 & fact2 -> int1: ãã®ãããã«Lv.89ã¯å髪ããããŸãéãå§ãã; int1 & fact4 -> int2: ãã®ãããã«Lv.89ã¯å¿ããªããšããããšã¯ãªã;"
] | [
"void -> assump1: {A}{a}; assump1 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> int2: ¬{C}{a};"
] | ãã®ãŸããŸãLv.19ã¯å髪ãããå±éãæã | ({A}{dg} & {P}{dg}) | [] | 4 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãŸããŸãLv.19ãæã¡é£ããªããšãããšãã®ãŸããŸãLv.19ã¯å髪ãããéãå§ãã fact2: ãã®ãããã«Lv.89ã¯éãå§ãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.1ãé£ã¹æããããŸãã«å±éãæããšããã°ãã®ã·ãã·ãLv.1ã¯èµ·ãé£ããªã fact4: ããä»®ã«ãã®ãããã«Lv.89ãå髪ãããæŽã«éãå§ãããšããããã®ãããã«Lv.89ã¯å¿ããªããªã ; $hypothesis$ = ãããããã®ãããã«Lv.89ã¯å髪ããããšããããšã¯äºå®ã§ãããšããã°ãã®ãããã«Lv.89ã¯æã¡é£ãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D}{dg} -> ({A}{dg} & {B}{dg}) fact2: {B}{a} fact3: ({DA}{jb} & {P}{jb}) -> ¬{CT}{jb} fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} ; $hypothesis$ = ¬({A}{a} -> {D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã«ãLv.87ã¯è¿·ä¿¡æ·±ã | {G}{c} | fact1: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãæããšããã°ãããã¯ç©åãŒããªããå ããŠããã¯ããŒãããªãããšããããšã¯èª€ã£ãŠãã fact2: ãã®ãŸãªãŸãLv.24ã¯ç©åãŒã fact3: ããä»®ã«ãã®ãŸããŸã«ãLv.10ãåãæããªããšããã°ãã®ãŽããŽã«ãLv.87ã¯ä¿¡èšãã fact4: ãã®ãŸãªãŸãLv.24ã¯ç ãã fact5: ä»®ã«ããã®ãŸãªãŸãLv.24ã¯ç©åãŒããããŒãããªãããšããããšã¯èª€ãã ãšããããã®ãŽããŽã«ãLv.87ã¯ç ãã fact6: ããä»®ã«ãã®ãŽããŽã«ãLv.87ãä¿¡èšãããšãããšãã®ãŽããŽã«ãLv.87ã¯è¿·ä¿¡æ·±ããšããããšã¯ãªã fact7: ããã®ãŸãªãŸãLv.24ãç ãããç©åãŒããšããããã®ãŸãªãŸãLv.24ã¯ããŒãããªãããšããããšã¯ç¢ºãã fact8: ãããããã®ãŸããŸã«ãLv.10ã¯åãé£ããªãããã©åãæãããšããããšã¯ééãã§ããããšããããšã¯çå®ã§ãããšãããšããã®ãŽããŽã«ãLv.87ã¯ä¿¡èšããããšããããšã¯èª€ã£ãŠããªã fact9: ããä»®ã«ãã®ãŸãªãŸãLv.24ã¯ããŒãããªããªãã°ããã®ãŸããŸã«ãLv.10ã¯åãé£ããªãããã©åãæãããšããããšã¯äºå®ãšç°ãªã fact10: ããä»®ã«ãã®ãŽããŽã«ãLv.87ãç ãããªããã®ãŽããŽã«ãLv.87ã¯è¿·ä¿¡æ·±ã | fact1: (x): {D}x -> ¬(¬{B}x & ¬{C}x) fact2: {B}{a} fact3: ¬{D}{b} -> {F}{c} fact4: {A}{a} fact5: ¬({B}{a} & ¬{C}{a}) -> {A}{c} fact6: {F}{c} -> ¬{G}{c} fact7: ({A}{a} & {B}{a}) -> ¬{C}{a} fact8: ¬(¬{E}{b} & {D}{b}) -> {F}{c} fact9: ¬{C}{a} -> ¬(¬{E}{b} & {D}{b}) fact10: {A}{c} -> {G}{c} | [
"fact4 & fact2 -> int1: ãã®ãŸãªãŸãLv.24ã¯ç ãããŠããã«ããã¯ç©åãŒã; int1 & fact7 -> int2: ãã®ãŸãªãŸãLv.24ã¯ããŒãããªã; int2 & fact9 -> int3: ãããã®ãŸããŸã«ãLv.10ã¯åãé£ããªããã©åãæãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€; int3 & fact8 -> int4: ãã®ãŽããŽã«ãLv.87ã¯ä¿¡èšãã; int4 & fact6 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact7 -> int2: ¬{C}{a}; int2 & fact9 -> int3: ¬(¬{E}{b} & {D}{b}); int3 & fact8 -> int4: {F}{c}; int4 & fact6 -> hypothesis;"
] | ãã®ãã«ããã¡ã
Lv.80ã¯ç ãããªã | ¬{A}{hl} | [
"fact11 -> int5: ä»®ã«ãã®ãã«ããã¡ã
Lv.80ã¯åãæããšããããããã¯ç©åãŒããšããããšã¯ãªããããŒããããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã;"
] | 6 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãæããšããã°ãããã¯ç©åãŒããªããå ããŠããã¯ããŒãããªãããšããããšã¯èª€ã£ãŠãã fact2: ãã®ãŸãªãŸãLv.24ã¯ç©åãŒã fact3: ããä»®ã«ãã®ãŸããŸã«ãLv.10ãåãæããªããšããã°ãã®ãŽããŽã«ãLv.87ã¯ä¿¡èšãã fact4: ãã®ãŸãªãŸãLv.24ã¯ç ãã fact5: ä»®ã«ããã®ãŸãªãŸãLv.24ã¯ç©åãŒããããŒãããªãããšããããšã¯èª€ãã ãšããããã®ãŽããŽã«ãLv.87ã¯ç ãã fact6: ããä»®ã«ãã®ãŽããŽã«ãLv.87ãä¿¡èšãããšãããšãã®ãŽããŽã«ãLv.87ã¯è¿·ä¿¡æ·±ããšããããšã¯ãªã fact7: ããã®ãŸãªãŸãLv.24ãç ãããç©åãŒããšããããã®ãŸãªãŸãLv.24ã¯ããŒãããªãããšããããšã¯ç¢ºãã fact8: ãããããã®ãŸããŸã«ãLv.10ã¯åãé£ããªãããã©åãæãããšããããšã¯ééãã§ããããšããããšã¯çå®ã§ãããšãããšããã®ãŽããŽã«ãLv.87ã¯ä¿¡èšããããšããããšã¯èª€ã£ãŠããªã fact9: ããä»®ã«ãã®ãŸãªãŸãLv.24ã¯ããŒãããªããªãã°ããã®ãŸããŸã«ãLv.10ã¯åãé£ããªãããã©åãæãããšããããšã¯äºå®ãšç°ãªã fact10: ããä»®ã«ãã®ãŽããŽã«ãLv.87ãç ãããªããã®ãŽããŽã«ãLv.87ã¯è¿·ä¿¡æ·±ã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.87ã¯è¿·ä¿¡æ·±ã ; $proof$ = | fact4 & fact2 -> int1: ãã®ãŸãªãŸãLv.24ã¯ç ãããŠããã«ããã¯ç©åãŒã; int1 & fact7 -> int2: ãã®ãŸãªãŸãLv.24ã¯ããŒãããªã; int2 & fact9 -> int3: ãããã®ãŸããŸã«ãLv.10ã¯åãé£ããªããã©åãæãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€; int3 & fact8 -> int4: ãã®ãŽããŽã«ãLv.87ã¯ä¿¡èšãã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {D}x -> ¬(¬{B}x & ¬{C}x) fact2: {B}{a} fact3: ¬{D}{b} -> {F}{c} fact4: {A}{a} fact5: ¬({B}{a} & ¬{C}{a}) -> {A}{c} fact6: {F}{c} -> ¬{G}{c} fact7: ({A}{a} & {B}{a}) -> ¬{C}{a} fact8: ¬(¬{E}{b} & {D}{b}) -> {F}{c} fact9: ¬{C}{a} -> ¬(¬{E}{b} & {D}{b}) fact10: {A}{c} -> {G}{c} ; $hypothesis$ = {G}{c} ; $proof$ = | fact4 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact7 -> int2: ¬{C}{a}; int2 & fact9 -> int3: ¬(¬{E}{b} & {D}{b}); int3 & fact8 -> int4: {F}{c}; int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | èãä»ããããšãçºçãã | {D} | fact1: ããŸããŸã«ã
Lv.20äºä»¶ã¯èµ·ãããªãããšããããšã¯ãå人ããããšããããšãçºçãããããŸãã«ãœã«ããœã¡ãLv.17äºä»¶ãèµ·ããããšããããšã«ããçãã fact2: ãœã«ããœã¡ãLv.17äºä»¶ãçºçãã fact3: èãä»ããããšã¯èµ·ããªããšããããšã¯ããŸããŸã«ã
Lv.20äºä»¶ã¯çããªãããšããããšã«ããçãã fact4: ããœããœãLv.11äºä»¶ãçºçããããšããããšã¯æ¬åœã fact5: ãœããœãLv.11äºä»¶ã¯å人ããããšããããšãçºçããã | fact1: ({A} & {B}) -> ¬{C} fact2: {B} fact3: ¬{C} -> ¬{D} fact4: {E} fact5: {E} -> {A} | [
"fact4 & fact5 -> int1: å人ããããšããããšãèµ·ãã; int1 & fact2 -> int2: å人ããããšããããšãçããããŸããœã«ããœã¡ãLv.17äºä»¶ãçãã; int2 & fact1 -> int3: ãŸããŸã«ã
Lv.20äºä»¶ã¯èµ·ããªã; int3 & fact3 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: {A}; int1 & fact2 -> int2: ({A} & {B}); int2 & fact1 -> int3: ¬{C}; int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããŸããŸã«ã
Lv.20äºä»¶ã¯èµ·ãããªãããšããããšã¯ãå人ããããšããããšãçºçãããããŸãã«ãœã«ããœã¡ãLv.17äºä»¶ãèµ·ããããšããããšã«ããçãã fact2: ãœã«ããœã¡ãLv.17äºä»¶ãçºçãã fact3: èãä»ããããšã¯èµ·ããªããšããããšã¯ããŸããŸã«ã
Lv.20äºä»¶ã¯çããªãããšããããšã«ããçãã fact4: ããœããœãLv.11äºä»¶ãçºçããããšããããšã¯æ¬åœã fact5: ãœããœãLv.11äºä»¶ã¯å人ããããšããããšãçºçããã ; $hypothesis$ = èãä»ããããšãçºçãã ; $proof$ = | fact4 & fact5 -> int1: å人ããããšããããšãèµ·ãã; int1 & fact2 -> int2: å人ããããšããããšãçããããŸããœã«ããœã¡ãLv.17äºä»¶ãçãã; int2 & fact1 -> int3: ãŸããŸã«ã
Lv.20äºä»¶ã¯èµ·ããªã; int3 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {B} fact3: ¬{C} -> ¬{D} fact4: {E} fact5: {E} -> {A} ; $hypothesis$ = {D} ; $proof$ = | fact4 & fact5 -> int1: {A}; int1 & fact2 -> int2: ({A} & {B}); int2 & fact1 -> int3: ¬{C}; int3 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã¡ãLv.28ã¯çã£æã | {F}{f} | fact1: ããã®ãã®ããLv.77ã¯æ±ããšããããšã¯ãªããŠæŽã«ããã¯äœãæ²ããªãããšããããšã¯çå®ã§ãªã fact2: ããä»®ã«ãã®ãã®ããLv.77ãç©çãããªããã®ãŽããŽã¡ãLv.28ã¯ç©åãŸãã fact3: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.56ã¯ãæããªããšããããã®ãŽããŽã¡ãLv.28ã¯çã£æããšããããšã¯ãªã fact4: ãã®ãœããœãªLv.54ãç©åãŸãããªãã°ãã®ãŸããŸã¡ãLv.96ã¯é¢åèããªãããããã¯ããã¯éäžè¶³ç¡ããäž¡æ¹ãšãã§ãã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ãæããªããšãããéäžè¶³ç¡ããæŽã«é¢åèã fact6: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãéäžè¶³ç¡ããªãããã¯ç©çãã fact7: ä»®ã«ãã®ãŸã«ããŸãLv.36ãç©çãããªããã®ãœããœãªLv.54ã¯ç©åãŸãã fact8: ããã®ãã®ããLv.77ã¯æ±ããšããããšã¯ãªããã©äœãæ²ãããšããããšã¯åã§ãã fact9: ããããã®ãŸããŸã¡ãLv.96ã¯é¢åèããšããããšã¯ãªãããŸãã¯éäžè¶³ç¡ãããŸãã¯ã©ã¡ããã ãšããããã®ã¿ã«ã
ã¿ãLv.56ã¯ãæããªã fact10: ç©åãŸããã¢ã³ã¹ã¿ãŒã¯çã£æã fact11: ãããããã®ãã®ããLv.77ã¯æ±ããšããããšã¯ãªããŠãããäœãæ²ããªãããšããããšã¯ééãã§ãããšãããšããã®ãŸã«ããŸãLv.36ã¯ç©çããããšããããšã¯åã§ãªã | fact1: ¬(¬{AA}{a} & ¬{AB}{a}) fact2: {B}{a} -> {A}{f} fact3: ¬{E}{e} -> ¬{F}{f} fact4: {A}{c} -> (¬{D}{d} v {C}{d}) fact5: (x): ¬{E}x -> ({C}x & {D}x) fact6: (x): {C}x -> {B}x fact7: {B}{b} -> {A}{c} fact8: ¬(¬{AA}{a} & {AB}{a}) fact9: (¬{D}{d} v {C}{d}) -> ¬{E}{e} fact10: (x): {A}x -> {F}x fact11: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} | [
"fact11 & fact1 -> int1: ãã®ãŸã«ããŸãLv.36ã¯ç©çãã; int1 & fact7 -> int2: ãã®ãœããœãªLv.54ã¯ç©åãŸãã; int2 & fact4 -> int3: ãã®ãŸããŸã¡ãLv.96ã¯é¢åèããªãããŸãã¯éäžè¶³ç¡ãããããã¯ã©ã¡ããã ; int3 & fact9 -> int4: ãã®ã¿ã«ã
ã¿ãLv.56ã¯ãæããªã; int4 & fact3 -> hypothesis;"
] | [
"fact11 & fact1 -> int1: {B}{b}; int1 & fact7 -> int2: {A}{c}; int2 & fact4 -> int3: (¬{D}{d} v {C}{d}); int3 & fact9 -> int4: ¬{E}{e}; int4 & fact3 -> hypothesis;"
] | ãã®ãŽããŽã¡ãLv.28ã¯çã£æã | {F}{f} | [
"fact15 -> int5: ããããã®ãŽããŽã¡ãLv.28ãç©åãŸãããšããã°çã£æã; fact14 -> int6: ããä»®ã«ãã®ãã®ããLv.77ã¯éäžè¶³ç¡ããšãããããã®ãã®ããLv.77ã¯ç©çããããšããããšã¯æãç«ã€; fact13 -> int7: ãããã®ãã®ããLv.77ã¯ãæããªããšããã°ãã®ãã®ããLv.77ã¯éäžè¶³ç¡ããé¢åèã;"
] | 6 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ãã®ããLv.77ã¯æ±ããšããããšã¯ãªããŠæŽã«ããã¯äœãæ²ããªãããšããããšã¯çå®ã§ãªã fact2: ããä»®ã«ãã®ãã®ããLv.77ãç©çãããªããã®ãŽããŽã¡ãLv.28ã¯ç©åãŸãã fact3: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.56ã¯ãæããªããšããããã®ãŽããŽã¡ãLv.28ã¯çã£æããšããããšã¯ãªã fact4: ãã®ãœããœãªLv.54ãç©åãŸãããªãã°ãã®ãŸããŸã¡ãLv.96ã¯é¢åèããªãããããã¯ããã¯éäžè¶³ç¡ããäž¡æ¹ãšãã§ãã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ãæããªããšãããéäžè¶³ç¡ããæŽã«é¢åèã fact6: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãéäžè¶³ç¡ããªãããã¯ç©çãã fact7: ä»®ã«ãã®ãŸã«ããŸãLv.36ãç©çãããªããã®ãœããœãªLv.54ã¯ç©åãŸãã fact8: ããã®ãã®ããLv.77ã¯æ±ããšããããšã¯ãªããã©äœãæ²ãããšããããšã¯åã§ãã fact9: ããããã®ãŸããŸã¡ãLv.96ã¯é¢åèããšããããšã¯ãªãããŸãã¯éäžè¶³ç¡ãããŸãã¯ã©ã¡ããã ãšããããã®ã¿ã«ã
ã¿ãLv.56ã¯ãæããªã fact10: ç©åãŸããã¢ã³ã¹ã¿ãŒã¯çã£æã fact11: ãããããã®ãã®ããLv.77ã¯æ±ããšããããšã¯ãªããŠãããäœãæ²ããªãããšããããšã¯ééãã§ãããšãããšããã®ãŸã«ããŸãLv.36ã¯ç©çããããšããããšã¯åã§ãªã ; $hypothesis$ = ãã®ãŽããŽã¡ãLv.28ã¯çã£æã ; $proof$ = | fact11 & fact1 -> int1: ãã®ãŸã«ããŸãLv.36ã¯ç©çãã; int1 & fact7 -> int2: ãã®ãœããœãªLv.54ã¯ç©åãŸãã; int2 & fact4 -> int3: ãã®ãŸããŸã¡ãLv.96ã¯é¢åèããªãããŸãã¯éäžè¶³ç¡ãããããã¯ã©ã¡ããã ; int3 & fact9 -> int4: ãã®ã¿ã«ã
ã¿ãLv.56ã¯ãæããªã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{a} & ¬{AB}{a}) fact2: {B}{a} -> {A}{f} fact3: ¬{E}{e} -> ¬{F}{f} fact4: {A}{c} -> (¬{D}{d} v {C}{d}) fact5: (x): ¬{E}x -> ({C}x & {D}x) fact6: (x): {C}x -> {B}x fact7: {B}{b} -> {A}{c} fact8: ¬(¬{AA}{a} & {AB}{a}) fact9: (¬{D}{d} v {C}{d}) -> ¬{E}{e} fact10: (x): {A}x -> {F}x fact11: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} ; $hypothesis$ = {F}{f} ; $proof$ = | fact11 & fact1 -> int1: {B}{b}; int1 & fact7 -> int2: {A}{c}; int2 & fact4 -> int3: (¬{D}{d} v {C}{d}); int3 & fact9 -> int4: ¬{E}{e}; int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºããªã | ¬{A}{a} | fact1: ããä»®ã«ãã®ãœããœãLv.33ã埡åŒã³åºããšãããšãã®ãŽã¡ããŽã«Lv.37ã¯åŒæžã fact2: ããä»®ã«ãã®ãœããœãLv.36ãåŒæžããªããã®ãœããœãLv.33ã¯èª¿ç¯ãæããªããŠå ããŠåŒæžãããªã fact3: ãããã®ãœããœãLv.36ã埡åŒã³åºããªããã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºã fact4: ããä»®ã«ãã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºããªãããã®ãœããœãLv.36ã¯åŒæžãããšããããšã¯æ¬åœã | fact1: {A}{c} -> {B}{a} fact2: {B}{b} -> (¬{C}{c} & ¬{B}{c}) fact3: {A}{b} -> {A}{a} fact4: {A}{a} -> {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºã; fact4 & assump1 -> int1: ãã®ãœããœãLv.36ã¯åŒæžã; int1 & fact2 -> int2: ãã®ãœããœãLv.33ã¯èª¿ç¯ãæããšããããšã¯ãªããŠå ããŠããã¯åŒæžãããªã;"
] | [
"void -> assump1: {A}{a}; fact4 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: (¬{C}{c} & ¬{B}{c});"
] | 以äžã®ããã«ä»®å®ããããã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºã | {A}{a} | [] | 6 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãœããœãLv.33ã埡åŒã³åºããšãããšãã®ãŽã¡ããŽã«Lv.37ã¯åŒæžã fact2: ããä»®ã«ãã®ãœããœãLv.36ãåŒæžããªããã®ãœããœãLv.33ã¯èª¿ç¯ãæããªããŠå ããŠåŒæžãããªã fact3: ãããã®ãœããœãLv.36ã埡åŒã³åºããªããã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºã fact4: ããä»®ã«ãã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºããªãããã®ãœããœãLv.36ã¯åŒæžãããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ãŽã¡ããŽã«Lv.37ã¯åŸ¡åŒã³åºããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{c} -> {B}{a} fact2: {B}{b} -> (¬{C}{c} & ¬{B}{c}) fact3: {A}{b} -> {A}{a} fact4: {A}{a} -> {B}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ãŸã«Lv.41ã¯å ªãé£ããªããããã«æã¿èŸŒãŸãªã | (¬{D}{a} & ¬{C}{a}) | fact1: ãããã®ãŸã«ãŸã«Lv.41ããããããšããã°ãã®ãŸã«ãŸã«Lv.41ã¯å ªãé£ããªããæã¿èŸŒããšããããšã¯ãªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æ°åŒ±ã fact3: ä»®ã«ããããã¢ã³ã¹ã¿ãŒã¯åœããé£ããªããªãã°ãæ
ãŸããããšããããšã¯çå®ã fact4: ãã®ãŸã«ãŸã«Lv.41ã¯ãããããåœããé£ã | fact1: {A}{a} -> (¬{D}{a} & ¬{C}{a}) fact2: (x): {FM}x fact3: (x): ({A}x & ¬{B}x) -> {HA}x fact4: ({A}{a} & {B}{a}) | [
"fact4 -> int1: ãã®ãŸã«ãŸã«Lv.41ã¯ãããã; int1 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ããã®ãŸã«ãŸã«Lv.41ã¯æ°åŒ±ãããããæ
ãŸããããšããããšã¯æ¬åœã§ãã | ({FM}{a} & {HA}{a}) | [
"fact6 -> int2: ãã®ãŸã«ãŸã«Lv.41ã¯æ°åŒ±ã; fact5 -> int3: ããä»®ã«ãã®ãŸã«ãŸã«Lv.41ããããããåœããé£ããªããšããã°ãã®ãŸã«ãŸã«Lv.41ã¯æ
ãŸãã;"
] | 4 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŸã«ãŸã«Lv.41ããããããšããã°ãã®ãŸã«ãŸã«Lv.41ã¯å ªãé£ããªããæã¿èŸŒããšããããšã¯ãªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æ°åŒ±ã fact3: ä»®ã«ããããã¢ã³ã¹ã¿ãŒã¯åœããé£ããªããªãã°ãæ
ãŸããããšããããšã¯çå®ã fact4: ãã®ãŸã«ãŸã«Lv.41ã¯ãããããåœããé£ã ; $hypothesis$ = ãã®ãŸã«ãŸã«Lv.41ã¯å ªãé£ããªããããã«æã¿èŸŒãŸãªã ; $proof$ = | fact4 -> int1: ãã®ãŸã«ãŸã«Lv.41ã¯ãããã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> (¬{D}{a} & ¬{C}{a}) fact2: (x): {FM}x fact3: (x): ({A}x & ¬{B}x) -> {HA}x fact4: ({A}{a} & {B}{a}) ; $hypothesis$ = (¬{D}{a} & ¬{C}{a}) ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã«Lv.51ã¯åããèŸããªã | ¬{A}{a} | fact1: ããä»®ã«ãã®ãœããœã«Lv.51ãåããèŸããªãç²é«ããæŽã«è¡æ£èããªã | fact1: {A}{a} -> ({AA}{a} & ¬{AB}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœã«Lv.51ã¯åããèŸã; fact1 & assump1 -> int1: ãã®ãœããœã«Lv.51ã¯ç²é«ãããã©è¡æ£èããªã; int1 -> int2: ãã®ãœããœã«Lv.51ã¯è¡æ£èããªã;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: ({AA}{a} & ¬{AB}{a}); int1 -> int2: ¬{AB}{a};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ãœããœã«Lv.51ãåããèŸããªãç²é«ããæŽã«è¡æ£èããªã ; $hypothesis$ = ãã®ãœããœã«Lv.51ã¯åããèŸããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸãLv.40ã¯èšãçºãããªã | ¬{C}{c} | fact1: ãã®ããããLv.55ã¯ãã°ãã£ãããªãã°ããã®ãŸã¡ããŸãLv.40ã¯èšãçºããããšããããšã¯äºå®ã fact2: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ãã°ãã£ãããã©æãããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããããã¯èšãçºãããªã fact3: ããããã®ããããLv.55ãçšãæããªããšããã°ãã°ãã£ãã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºçŸãæããšããããããã¯ãã°ãã£ãããããŸãã«ããã¯æãããªãããšããããšã¯ééã£ãŠãã fact5: ãã®ã¿ã«ãã¿ã¡ã
Lv.57ã¯æãã fact6: ãããã®ã¿ã«ãã¿ã¡ã
Lv.57ãæãããšãããšãã®ããããLv.55ã¯å ãé£ããšããããšã¯ãªããããã¯çšãæããªã | fact1: {B}{b} -> {C}{c} fact2: (x): ¬({B}x & ¬{A}x) -> ¬{C}x fact3: ¬{AB}{b} -> {B}{b} fact4: (x): {D}x -> ¬({B}x & ¬{A}x) fact5: {A}{a} fact6: {A}{a} -> (¬{AA}{b} & ¬{AB}{b}) | [
"fact6 & fact5 -> int1: ãã®ããããLv.55ã¯å ãé£ããªããŠããã«çšãæããªã; int1 -> int2: ãã®ããããLv.55ã¯çšãæããªã; int2 & fact3 -> int3: ãã®ããããLv.55ã¯ãã°ãã£ãã; int3 & fact1 -> hypothesis;"
] | [
"fact6 & fact5 -> int1: (¬{AA}{b} & ¬{AB}{b}); int1 -> int2: ¬{AB}{b}; int2 & fact3 -> int3: {B}{b}; int3 & fact1 -> hypothesis;"
] | ãã®ãŸã¡ããŸãLv.40ã¯èšãçºãããªã | ¬{C}{c} | [
"fact8 -> int4: ããããã®ãŸã¡ããŸãLv.40ã¯ãã°ãã£ãããã©ããã¯æãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°èšãçºãããªã; fact7 -> int5: ããä»®ã«ãã®ãŸã¡ããŸãLv.40ã¯åºçŸãæããšãããšãããã¯ãã°ãã£ãããæãããªãããšããããšã¯æãç«ããªã;"
] | 5 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ããããLv.55ã¯ãã°ãã£ãããªãã°ããã®ãŸã¡ããŸãLv.40ã¯èšãçºããããšããããšã¯äºå®ã fact2: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ãã°ãã£ãããã©æãããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããããã¯èšãçºãããªã fact3: ããããã®ããããLv.55ãçšãæããªããšããã°ãã°ãã£ãã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºçŸãæããšããããããã¯ãã°ãã£ãããããŸãã«ããã¯æãããªãããšããããšã¯ééã£ãŠãã fact5: ãã®ã¿ã«ãã¿ã¡ã
Lv.57ã¯æãã fact6: ãããã®ã¿ã«ãã¿ã¡ã
Lv.57ãæãããšãããšãã®ããããLv.55ã¯å ãé£ããšããããšã¯ãªããããã¯çšãæããªã ; $hypothesis$ = ãã®ãŸã¡ããŸãLv.40ã¯èšãçºãããªã ; $proof$ = | fact6 & fact5 -> int1: ãã®ããããLv.55ã¯å ãé£ããªããŠããã«çšãæããªã; int1 -> int2: ãã®ããããLv.55ã¯çšãæããªã; int2 & fact3 -> int3: ãã®ããããLv.55ã¯ãã°ãã£ãã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: (x): ¬({B}x & ¬{A}x) -> ¬{C}x fact3: ¬{AB}{b} -> {B}{b} fact4: (x): {D}x -> ¬({B}x & ¬{A}x) fact5: {A}{a} fact6: {A}{a} -> (¬{AA}{b} & ¬{AB}{b}) ; $hypothesis$ = ¬{C}{c} ; $proof$ = | fact6 & fact5 -> int1: (¬{AA}{b} & ¬{AB}{b}); int1 -> int2: ¬{AB}{b}; int2 & fact3 -> int3: {B}{b}; int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.34ã¯çŽ æŽãããªã | ¬{A}{a} | fact1: çãé£ããªãã¢ã³ã¹ã¿ãŒã¯èŸããŠçŽ æŽãã | fact1: (x): ¬{B}x -> ({DT}x & {A}x) | [] | [] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èŸã | (x): {DT}x | [
"fact2 -> int1: ããä»®ã«ããã®ãŽããŽãLv.34ã¯çãé£ããšããããšã¯ãªãããšããããšã¯çå®ã§ãããªãããã¯èŸããããã¯çŽ æŽãã;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: çãé£ããªãã¢ã³ã¹ã¿ãŒã¯èŸããŠçŽ æŽãã ; $hypothesis$ = ãã®ãŽããŽãLv.34ã¯çŽ æŽãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{B}x -> ({DT}x & {A}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããæãããšããããšãèµ·ãã | {A} | fact1: ã·ã¡ã
ã·ãLv.85äºä»¶ãçãã fact2: æãããšããããšããããã¯çœ®ãæããšããããšããããã¯ã©ã¡ãããèµ·ãããšãããã·ã¡ã
ã·ãLv.85äºä»¶ã¯èµ·ãããªã | fact1: {C} fact2: ({A} v {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæãããšããããšãèµ·ãã; assump1 -> int1: æãããšããããšãèµ·ããããŸãã¯çœ®ãæããšããããšãèµ·ããããŸãã¯äž¡æ¹ã§ãã; int1 & fact2 -> int2: ã·ã¡ã
ã·ãLv.85äºä»¶ã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã·ã¡ã
ã·ãLv.85äºä»¶ãçãã fact2: æãããšããããšããããã¯çœ®ãæããšããããšããããã¯ã©ã¡ãããèµ·ãããšãããã·ã¡ã
ã·ãLv.85äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæãããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæãããšããããšãèµ·ãã; assump1 -> int1: æãããšããããšãèµ·ããããŸãã¯çœ®ãæããšããããšãèµ·ããããŸãã¯äž¡æ¹ã§ãã; int1 & fact2 -> int2: ã·ã¡ã
ã·ãLv.85äºä»¶ã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ({A} v {B}) -> ¬{C} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | 山深ããšããããšã¯èµ·ãããªã | ¬{F} | fact1: 山深ããšããããšã¯ãããããLv.28äºä»¶ã§ã¯ãªããŠãœããœãLv.65äºä»¶ãèµ·ããããšããããšã«åŒãèµ·ãããã fact2: ãããããLv.28äºä»¶ãèµ·ããªããŠããããœããœãLv.65äºä»¶ã¯çããªãããšããããšã¯ããœããœãLv.65äºä»¶ã¯èµ·ããªãããšããããšã«èªçºããã fact3: ããœããœãLv.65äºä»¶ã¯èµ·ããªãããšããããšã¯ç§»ãæããšããããšãšãŽããŽã¡ãLv.54äºä»¶ãèµ·ããã«ããçãã fact4: 蚎远ããããšãçãã fact5: ãŽããŽã¡ãLv.54äºä»¶ãçãã fact6: ã山深ããšããããšã¯èµ·ããªãããšããããšã¯ãããããLv.28äºä»¶ãèµ·ããªããŠå ããŠãœããœãLv.65äºä»¶ã¯çºçããªãããšããããšã«é²ããã fact7: 蚎远ããããšããã³ç§»ãæããšããããšã©ã¡ãããèµ·ãã | fact1: (¬{E} & {D}) -> {F} fact2: ¬{D} -> (¬{E} & ¬{D}) fact3: ({B} & {C}) -> ¬{D} fact4: {A} fact5: {C} fact6: (¬{E} & ¬{D}) -> {F} fact7: ({A} & {B}) | [
"fact7 -> int1: 移ãæããšããããšãçãã; int1 & fact5 -> int2: 移ãæããšããããšãèµ·ãããããããŽããŽã¡ãLv.54äºä»¶ãçºçãã; int2 & fact3 -> int3: ããœããœãLv.65äºä»¶ã¯çããªãããšããããšã¯æãç«ã€; int3 & fact2 -> int4: ããããLv.28äºä»¶ãèµ·ããªãããã®äžãœããœãLv.65äºä»¶ã¯çããªã; int4 & fact6 -> hypothesis;"
] | [
"fact7 -> int1: {B}; int1 & fact5 -> int2: ({B} & {C}); int2 & fact3 -> int3: ¬{D}; int3 & fact2 -> int4: (¬{E} & ¬{D}); int4 & fact6 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: 山深ããšããããšã¯ãããããLv.28äºä»¶ã§ã¯ãªããŠãœããœãLv.65äºä»¶ãèµ·ããããšããããšã«åŒãèµ·ãããã fact2: ãããããLv.28äºä»¶ãèµ·ããªããŠããããœããœãLv.65äºä»¶ã¯çããªãããšããããšã¯ããœããœãLv.65äºä»¶ã¯èµ·ããªãããšããããšã«èªçºããã fact3: ããœããœãLv.65äºä»¶ã¯èµ·ããªãããšããããšã¯ç§»ãæããšããããšãšãŽããŽã¡ãLv.54äºä»¶ãèµ·ããã«ããçãã fact4: 蚎远ããããšãçãã fact5: ãŽããŽã¡ãLv.54äºä»¶ãçãã fact6: ã山深ããšããããšã¯èµ·ããªãããšããããšã¯ãããããLv.28äºä»¶ãèµ·ããªããŠå ããŠãœããœãLv.65äºä»¶ã¯çºçããªãããšããããšã«é²ããã fact7: 蚎远ããããšããã³ç§»ãæããšããããšã©ã¡ãããèµ·ãã ; $hypothesis$ = 山深ããšããããšã¯èµ·ãããªã ; $proof$ = | fact7 -> int1: 移ãæããšããããšãçãã; int1 & fact5 -> int2: 移ãæããšããããšãèµ·ãããããããŽããŽã¡ãLv.54äºä»¶ãçºçãã; int2 & fact3 -> int3: ããœããœãLv.65äºä»¶ã¯çããªãããšããããšã¯æãç«ã€; int3 & fact2 -> int4: ããããLv.28äºä»¶ãèµ·ããªãããã®äžãœããœãLv.65äºä»¶ã¯çããªã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{E} & {D}) -> {F} fact2: ¬{D} -> (¬{E} & ¬{D}) fact3: ({B} & {C}) -> ¬{D} fact4: {A} fact5: {C} fact6: (¬{E} & ¬{D}) -> {F} fact7: ({A} & {B}) ; $hypothesis$ = ¬{F} ; $proof$ = | fact7 -> int1: {B}; int1 & fact5 -> int2: ({B} & {C}); int2 & fact3 -> int3: ¬{D}; int3 & fact2 -> int4: (¬{E} & ¬{D}); int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãšãèããšããããšã¯çããªã | ¬{H} | fact1: ããŽããŽãLv.53äºä»¶ãèµ·ããããšãèããšããããšã¯çããªãããšããããšã¯ããŸããŸã¡ãLv.96äºä»¶ã¯çããªãããšããããšãå¥æ©ã fact2: ãããããè奮ãæããšããããšã¯èµ·ãããªããŠå°ãªããšããããšã¯çºçããªãããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æãç«ã€ãªãå
·çŸããããšã¯çºçããªã fact3: ããŸããŸã«ãLv.23äºä»¶ã¯èµ·ãããªãããŽãªãŽãLv.60äºä»¶ã¯çºçããªãããšããããšã¯ãšãèããšããããšã«ç¹ãã fact4: ãŽããŽãLv.53äºä»¶ãçãããšããããè奮ãæããšããããšã¯çºçããªãããã®äžå°ãªããšããããšã¯èµ·ãããªãããšããããšã¯èª€ãã fact5: ããŸããŸã«ãLv.23äºä»¶ãèµ·ãããªããããã«ãŽãªãŽãLv.60äºä»¶ã¯çºçããªãããšããããšã¯å
·çŸããããšã¯çºçããªããšããããšã«ãããããã | fact1: ¬{B} -> ({A} & ¬{H}) fact2: ¬(¬{D} & ¬{C}) -> ¬{E} fact3: (¬{F} & ¬{G}) -> {H} fact4: {A} -> ¬(¬{D} & ¬{C}) fact5: ¬{E} -> (¬{F} & ¬{G}) | [] | [] | ãšãèããšããããšã¯çããªã | ¬{H} | [] | 6 | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŽããŽãLv.53äºä»¶ãèµ·ããããšãèããšããããšã¯çããªãããšããããšã¯ããŸããŸã¡ãLv.96äºä»¶ã¯çããªãããšããããšãå¥æ©ã fact2: ãããããè奮ãæããšããããšã¯èµ·ãããªããŠå°ãªããšããããšã¯çºçããªãããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æãç«ã€ãªãå
·çŸããããšã¯çºçããªã fact3: ããŸããŸã«ãLv.23äºä»¶ã¯èµ·ãããªãããŽãªãŽãLv.60äºä»¶ã¯çºçããªãããšããããšã¯ãšãèããšããããšã«ç¹ãã fact4: ãŽããŽãLv.53äºä»¶ãçãããšããããè奮ãæããšããããšã¯çºçããªãããã®äžå°ãªããšããããšã¯èµ·ãããªãããšããããšã¯èª€ãã fact5: ããŸããŸã«ãLv.23äºä»¶ãèµ·ãããªããããã«ãŽãªãŽãLv.60äºä»¶ã¯çºçããªãããšããããšã¯å
·çŸããããšã¯çºçããªããšããããšã«ãããããã ; $hypothesis$ = ãšãèããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({A} & ¬{H}) fact2: ¬(¬{D} & ¬{C}) -> ¬{E} fact3: (¬{F} & ¬{G}) -> {H} fact4: {A} -> ¬(¬{D} & ¬{C}) fact5: ¬{E} -> (¬{F} & ¬{G}) ; $hypothesis$ = ¬{H} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«ãLv.95ã¯æ ¹æ°è¯ã | {C}{b} | fact1: ããããã®ã¿ãã¿ã«ãLv.95ãåŸãã£ãœããªãã°ãã®ã¿ãã¿ã«ãLv.95ã¯æ ¹æ°è¯ã fact2: ããããããã¢ã³ã¹ã¿ãŒã¯æ³šæèŽãããã©åãæããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããã°ããã¯ééãç¡ã fact3: ããããã®ã¿ãã¿ã«ãLv.95ãåŸãã£ãœããªããããŸãã«ééãç¡ããªããšãããæ ¹æ°è¯ããªã fact4: ãã®ãœã«ããœãLv.92ã¯ééãç¡ããªãã°ããã®ã¿ãã¿ã«ãLv.95ã¯åŸãã£ãœãããšããããšã¯äºå®ã fact5: ããã®ãœã«ããœãLv.92ã¯æ³šæèŽããã©åãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact6: ããããã®ã¿ãã¿ã«ãLv.95ã¯æå°æªããªãããšããããšã¯çå®ãªãã°ããã¯åŸãã£ãœããšããããšã¯ãªã | fact1: {A}{b} -> {C}{b} fact2: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact3: (¬{A}{b} & ¬{B}{b}) -> ¬{C}{b} fact4: {B}{a} -> {A}{b} fact5: ¬({AA}{a} & ¬{AB}{a}) fact6: ¬{D}{b} -> ¬{A}{b} | [
"fact2 -> int1: ããããã®ãœã«ããœãLv.92ã¯æ³šæèŽãããã©åãæããªãããšããããšã¯åã ãšãããããã¯ééãç¡ã; int1 & fact5 -> int2: ãã®ãœã«ããœãLv.92ã¯ééãç¡ã; int2 & fact4 -> int3: ãã®ã¿ãã¿ã«ãLv.95ã¯åŸãã£ãœã; int3 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬({AA}{a} & ¬{AB}{a}) -> {B}{a}; int1 & fact5 -> int2: {B}{a}; int2 & fact4 -> int3: {A}{b}; int3 & fact1 -> hypothesis;"
] | ãã®ã¿ãã¿ã«ãLv.95ã¯æ ¹æ°è¯ããªã | ¬{C}{b} | [] | 5 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¿ãã¿ã«ãLv.95ãåŸãã£ãœããªãã°ãã®ã¿ãã¿ã«ãLv.95ã¯æ ¹æ°è¯ã fact2: ããããããã¢ã³ã¹ã¿ãŒã¯æ³šæèŽãããã©åãæããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããã°ããã¯ééãç¡ã fact3: ããããã®ã¿ãã¿ã«ãLv.95ãåŸãã£ãœããªããããŸãã«ééãç¡ããªããšãããæ ¹æ°è¯ããªã fact4: ãã®ãœã«ããœãLv.92ã¯ééãç¡ããªãã°ããã®ã¿ãã¿ã«ãLv.95ã¯åŸãã£ãœãããšããããšã¯äºå®ã fact5: ããã®ãœã«ããœãLv.92ã¯æ³šæèŽããã©åãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã fact6: ããããã®ã¿ãã¿ã«ãLv.95ã¯æå°æªããªãããšããããšã¯çå®ãªãã°ããã¯åŸãã£ãœããšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ã«ãLv.95ã¯æ ¹æ°è¯ã ; $proof$ = | fact2 -> int1: ããããã®ãœã«ããœãLv.92ã¯æ³šæèŽãããã©åãæããªãããšããããšã¯åã ãšãããããã¯ééãç¡ã; int1 & fact5 -> int2: ãã®ãœã«ããœãLv.92ã¯ééãç¡ã; int2 & fact4 -> int3: ãã®ã¿ãã¿ã«ãLv.95ã¯åŸãã£ãœã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{b} -> {C}{b} fact2: (x): ¬({AA}x & ¬{AB}x) -> {B}x fact3: (¬{A}{b} & ¬{B}{b}) -> ¬{C}{b} fact4: {B}{a} -> {A}{b} fact5: ¬({AA}{a} & ¬{AB}{a}) fact6: ¬{D}{b} -> ¬{A}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 -> int1: ¬({AA}{a} & ¬{AB}{a}) -> {B}{a}; int1 & fact5 -> int2: {B}{a}; int2 & fact4 -> int3: {A}{b}; int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ãã | {B} | fact1: ããããã®Lv.44äºä»¶ãèµ·ããããããäžãåãããšãçããããšããããšã¯ã¢ã¯ã»ã¹ãæããšããããšã¯çããªããšããããšãåå ã fact2: äžãåãããšã¯ãããã®Lv.44äºä»¶ããŸãã¯ã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ã«é»ãŸãã fact3: äžãåãããšãçãã fact4: äžãåãããšãçãããšããããšã¯ãããã®Lv.44äºä»¶ã«é²ããã fact5: ãããã®Lv.44äºä»¶ãã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ã¯èµ·ããªããšããããšãé»æ¢ãã fact6: çã£é»ããšããããšã¯åºããæããšããããšããŸãã¯ãã¡ãããLv.67äºä»¶ã«é»æ¢ããã | fact1: ¬{D} -> ({A} & {C}) fact2: ({A} v {B}) -> ¬{C} fact3: {C} fact4: {A} -> ¬{C} fact5: {A} -> {B} fact6: ({AJ} v {GO}) -> ¬{FB} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ãã; assump1 -> int1: ãããã®Lv.44äºä»¶ãèµ·ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ããããããã¯ã©ã¡ããã ; int1 & fact2 -> int2: äžãåãããšã¯èµ·ãããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ãã | {B} | [] | 7 | 5 | 3 | 5 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®Lv.44äºä»¶ãèµ·ããããããäžãåãããšãçããããšããããšã¯ã¢ã¯ã»ã¹ãæããšããããšã¯çããªããšããããšãåå ã fact2: äžãåãããšã¯ãããã®Lv.44äºä»¶ããŸãã¯ã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ã«é»ãŸãã fact3: äžãåãããšãçãã fact4: äžãåãããšãçãããšããããšã¯ãããã®Lv.44äºä»¶ã«é²ããã fact5: ãããã®Lv.44äºä»¶ãã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ã¯èµ·ããªããšããããšãé»æ¢ãã fact6: çã£é»ããšããããšã¯åºããæããšããããšããŸãã¯ãã¡ãããLv.67äºä»¶ã«é»æ¢ããã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ãã; assump1 -> int1: ãããã®Lv.44äºä»¶ãèµ·ãããã¿ã¡ãã¿ã¡ã
Lv.79äºä»¶ãèµ·ããããããã¯ã©ã¡ããã ; int1 & fact2 -> int2: äžãåãããšã¯èµ·ãããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D} -> ({A} & {C}) fact2: ({A} v {B}) -> ¬{C} fact3: {C} fact4: {A} -> ¬{C} fact5: {A} -> {B} fact6: ({AJ} v {GO}) -> ¬{FB} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããªããå¿«ãããšããããšã¯äºå®ãšç°ãªã | ¬(¬{B}{b} & {D}{b}) | fact1: ä»®ã«ãã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããšããããšã¯ãªããªãããã®ãœããœã«ã
Lv.14ã¯äŸãµããã€æžãæ·»ããããšããããšã¯æãç«ããªã fact2: ããããã®ã¿ãã¿ãLv.87ã¯èªã¿é£ã°ããªãäžæ¹ã§äžå³ããšãããããã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããªãããšããããšã¯æãç«ã€ fact3: ããããã®ã¿ãã¿ãLv.87ãèªã¿é£ã°ããªãããããäžå³ããšããããšã¯ãªããªãã°ãã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããšããããšã¯ãªã fact4: ããä»®ã«ããã®ãœããœã«ã
Lv.14ã¯äŸãµãããã¯æžãæ·»ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªããã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããªã fact5: ããä»®ã«ãã®ãœããœã«ã
Lv.14ãäŸãµããªããªãã°ãã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããªã fact6: ãã®ã¿ãã¿ãLv.87ã¯äžå³ããªã fact7: ãã®ãã«ã
ãã¡ã
Lv.51ãèªåããããªããšããããã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããšããããšã¯ãªãããã©å¿«ã fact8: ãã®ã¿ãã¿ãLv.87ã¯èªã¿é£ã°ããªããæŽã«ããã¯äžå³ããªã | fact1: ¬{A}{a} -> ¬({AA}{a} & {AB}{a}) fact2: (¬{A}{c} & {C}{c}) -> ¬{A}{a} fact3: (¬{A}{c} & ¬{C}{c}) -> ¬{A}{a} fact4: ¬({AA}{a} & {AB}{a}) -> ¬{B}{b} fact5: ¬{AA}{a} -> ¬{B}{b} fact6: ¬{C}{c} fact7: ¬{B}{b} -> (¬{B}{b} & {D}{b}) fact8: (¬{A}{c} & ¬{C}{c}) | [
"fact8 & fact3 -> int1: ããã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããªãããšããããšã¯äºå®ã§ãã; fact1 & int1 -> int2: ããã®ãœããœã«ã
Lv.14ã¯äŸãµãããŸãã«æžãæ·»ããããšããããšã¯æãç«ããªã; int2 & fact4 -> int3: ãã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããšããããšã¯ãªã; int3 & fact7 -> hypothesis;"
] | [
"fact8 & fact3 -> int1: ¬{A}{a}; fact1 & int1 -> int2: ¬({AA}{a} & {AB}{a}); int2 & fact4 -> int3: ¬{B}{b}; int3 & fact7 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããšããããšã¯ãªããªãããã®ãœããœã«ã
Lv.14ã¯äŸãµããã€æžãæ·»ããããšããããšã¯æãç«ããªã fact2: ããããã®ã¿ãã¿ãLv.87ã¯èªã¿é£ã°ããªãäžæ¹ã§äžå³ããšãããããã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããªãããšããããšã¯æãç«ã€ fact3: ããããã®ã¿ãã¿ãLv.87ãèªã¿é£ã°ããªãããããäžå³ããšããããšã¯ãªããªãã°ãã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããšããããšã¯ãªã fact4: ããä»®ã«ããã®ãœããœã«ã
Lv.14ã¯äŸãµãããã¯æžãæ·»ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªããã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããªã fact5: ããä»®ã«ãã®ãœããœã«ã
Lv.14ãäŸãµããªããªãã°ãã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããªã fact6: ãã®ã¿ãã¿ãLv.87ã¯äžå³ããªã fact7: ãã®ãã«ã
ãã¡ã
Lv.51ãèªåããããªããšããããã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããšããããšã¯ãªãããã©å¿«ã fact8: ãã®ã¿ãã¿ãLv.87ã¯èªã¿é£ã°ããªããæŽã«ããã¯äžå³ããªã ; $hypothesis$ = ããã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããªããå¿«ãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact8 & fact3 -> int1: ããã®ãœããœã«ã
Lv.14ã¯èªã¿é£ã°ããªãããšããããšã¯äºå®ã§ãã; fact1 & int1 -> int2: ããã®ãœããœã«ã
Lv.14ã¯äŸãµãããŸãã«æžãæ·»ããããšããããšã¯æãç«ããªã; int2 & fact4 -> int3: ãã®ãã«ã
ãã¡ã
Lv.51ã¯èªåããããšããããšã¯ãªã; int3 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬({AA}{a} & {AB}{a}) fact2: (¬{A}{c} & {C}{c}) -> ¬{A}{a} fact3: (¬{A}{c} & ¬{C}{c}) -> ¬{A}{a} fact4: ¬({AA}{a} & {AB}{a}) -> ¬{B}{b} fact5: ¬{AA}{a} -> ¬{B}{b} fact6: ¬{C}{c} fact7: ¬{B}{b} -> (¬{B}{b} & {D}{b}) fact8: (¬{A}{c} & ¬{C}{c}) ; $hypothesis$ = ¬(¬{B}{b} & {D}{b}) ; $proof$ = | fact8 & fact3 -> int1: ¬{A}{a}; fact1 & int1 -> int2: ¬({AA}{a} & {AB}{a}); int2 & fact4 -> int3: ¬{B}{b}; int3 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ã®ã¿ãLv.86ã¯æé©åããªããã©äžç¥èŸãããšããããšã¯ééã£ãŠãã | ¬(¬{E}{d} & {D}{d}) | fact1: ä»®ã«ãã®ãŽã®ãŽã¡ãLv.54ãèæããªããšããããã®ã¿ã¡ãã¿ãLv.80ã¯é£²ã¿é£ããã©ãããžåºæ¥ãªã fact2: ããã®ã¿ãã¿ãLv.75ã¯è¿
éåããªãããããæ€æš¹ããããšããããšã¯æãç«ããªã fact3: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.80ã¯æ€æš¹ããªããªãããã®ã¿ãã¿ãLv.75ã¯è¿
éåãããšããããšã¯ãªããŠæ€æš¹ããªãããšããããšã¯èª€ãã§ãã fact4: ãã®ã¿ã¡ãã¿ãLv.80ã飲ã¿é£ãäžæ¹ã§ãããžåºæ¥ãªããšãããšãã®ã¿ã¡ãã¿ãLv.80ã¯æ€æš¹ããªã fact5: ãã®ã¿ãã¿ãLv.75ã¯äžç¥èŸããªããªãã°ããã®ã¿ã®ã¿ãLv.86ã¯æé©åããªãããã©äžç¥èŸãããšããããšã¯èª€ãã fact6: ããä»®ã«ããã®ã¿ãã¿ãLv.75ã¯è¿
éåããªããæ€æš¹ããªãããšããããšã¯ééã£ãŠããã°ãã®ã¿ãã¿ãLv.75ã¯äžç¥èŸããªã fact7: ãã®ãŽã®ãŽã¡ãLv.54ã¯èæããªã | fact1: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) fact2: ¬(¬{C}{c} & {B}{c}) fact3: ¬{B}{b} -> ¬(¬{C}{c} & ¬{B}{c}) fact4: ({AA}{b} & ¬{AB}{b}) -> ¬{B}{b} fact5: ¬{D}{c} -> ¬(¬{E}{d} & {D}{d}) fact6: ¬(¬{C}{c} & ¬{B}{c}) -> ¬{D}{c} fact7: ¬{A}{a} | [
"fact1 & fact7 -> int1: ãã®ã¿ã¡ãã¿ãLv.80ã¯é£²ã¿é£ããããããããžåºæ¥ãªã; int1 & fact4 -> int2: ãã®ã¿ã¡ãã¿ãLv.80ã¯æ€æš¹ããªã; int2 & fact3 -> int3: ããã®ã¿ãã¿ãLv.75ã¯è¿
éåããªãããã®äžæ€æš¹ããªãããšããããšã¯ééã£ãŠãã; int3 & fact6 -> int4: ããã®ã¿ãã¿ãLv.75ã¯äžç¥èŸããšããããšã¯ãªãããšããããšã¯ç¢ºãã ; int4 & fact5 -> hypothesis;"
] | [
"fact1 & fact7 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: ¬{B}{b}; int2 & fact3 -> int3: ¬(¬{C}{c} & ¬{B}{c}); int3 & fact6 -> int4: ¬{D}{c}; int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ãŽã®ãŽã¡ãLv.54ãèæããªããšããããã®ã¿ã¡ãã¿ãLv.80ã¯é£²ã¿é£ããã©ãããžåºæ¥ãªã fact2: ããã®ã¿ãã¿ãLv.75ã¯è¿
éåããªãããããæ€æš¹ããããšããããšã¯æãç«ããªã fact3: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.80ã¯æ€æš¹ããªããªãããã®ã¿ãã¿ãLv.75ã¯è¿
éåãããšããããšã¯ãªããŠæ€æš¹ããªãããšããããšã¯èª€ãã§ãã fact4: ãã®ã¿ã¡ãã¿ãLv.80ã飲ã¿é£ãäžæ¹ã§ãããžåºæ¥ãªããšãããšãã®ã¿ã¡ãã¿ãLv.80ã¯æ€æš¹ããªã fact5: ãã®ã¿ãã¿ãLv.75ã¯äžç¥èŸããªããªãã°ããã®ã¿ã®ã¿ãLv.86ã¯æé©åããªãããã©äžç¥èŸãããšããããšã¯èª€ãã fact6: ããä»®ã«ããã®ã¿ãã¿ãLv.75ã¯è¿
éåããªããæ€æš¹ããªãããšããããšã¯ééã£ãŠããã°ãã®ã¿ãã¿ãLv.75ã¯äžç¥èŸããªã fact7: ãã®ãŽã®ãŽã¡ãLv.54ã¯èæããªã ; $hypothesis$ = ããã®ã¿ã®ã¿ãLv.86ã¯æé©åããªããã©äžç¥èŸãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 & fact7 -> int1: ãã®ã¿ã¡ãã¿ãLv.80ã¯é£²ã¿é£ããããããããžåºæ¥ãªã; int1 & fact4 -> int2: ãã®ã¿ã¡ãã¿ãLv.80ã¯æ€æš¹ããªã; int2 & fact3 -> int3: ããã®ã¿ãã¿ãLv.75ã¯è¿
éåããªãããã®äžæ€æš¹ããªãããšããããšã¯ééã£ãŠãã; int3 & fact6 -> int4: ããã®ã¿ãã¿ãLv.75ã¯äžç¥èŸããšããããšã¯ãªãããšããããšã¯ç¢ºãã ; int4 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) fact2: ¬(¬{C}{c} & {B}{c}) fact3: ¬{B}{b} -> ¬(¬{C}{c} & ¬{B}{c}) fact4: ({AA}{b} & ¬{AB}{b}) -> ¬{B}{b} fact5: ¬{D}{c} -> ¬(¬{E}{d} & {D}{d}) fact6: ¬(¬{C}{c} & ¬{B}{c}) -> ¬{D}{c} fact7: ¬{A}{a} ; $hypothesis$ = ¬(¬{E}{d} & {D}{d}) ; $proof$ = | fact1 & fact7 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: ¬{B}{b}; int2 & fact3 -> int3: ¬(¬{C}{c} & ¬{B}{c}); int3 & fact6 -> int4: ¬{D}{c}; int4 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããããä»®ã«ããŸããããªããè©®ç¡ãããšããããšã¯èª€ãã§ãããšãããšéã
ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ¬(¬{AA}x & {AB}x) -> {B}x) | fact1: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãŸããããªãããã©è©®ç¡ãããšããããšã¯èª€ãã§ãããšããã°ããã¯éã
ãã fact2: ä»®ã«ãã®ãŽã«ããŽã«Lv.73ãè©®ç¡ããªãããããã¹ãã€ã©ã«ã¢ããããã°ããã¯ææ¢ãã fact3: ãããä»®ã«ãŸããããšããããšã¯ãªããè©®ç¡ããšããã°éã
ãããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãŸãããã¢ã³ã¹ã¿ãŒã¯éã
ãã | fact1: (x): ¬(¬{AA}x & {AB}x) -> {B}x fact2: (¬{AB}{aa} & {IK}{aa}) -> {DM}{aa} fact3: (Ex): (¬{AA}x & {AB}x) -> {B}x fact4: (x): {AA}x -> {B}x | [
"fact1 -> int1: ä»®ã«ããã®ãŽã«ããŽã«Lv.73ã¯ãŸããããªãäžæ¹ã§è©®ç¡ãããšããããšã¯èª€ããªããã®ãŽã«ããŽã«Lv.73ã¯éã
ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãŸããããªãããã©è©®ç¡ãããšããããšã¯èª€ãã§ãããšããã°ããã¯éã
ãã fact2: ä»®ã«ãã®ãŽã«ããŽã«Lv.73ãè©®ç¡ããªãããããã¹ãã€ã©ã«ã¢ããããã°ããã¯ææ¢ãã fact3: ãããä»®ã«ãŸããããšããããšã¯ãªããè©®ç¡ããšããã°éã
ãããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãŸãããã¢ã³ã¹ã¿ãŒã¯éã
ãã ; $hypothesis$ = ããããä»®ã«ããŸããããªããè©®ç¡ãããšããããšã¯èª€ãã§ãããšãããšéã
ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ä»®ã«ããã®ãŽã«ããŽã«Lv.73ã¯ãŸããããªãäžæ¹ã§è©®ç¡ãããšããããšã¯èª€ããªããã®ãŽã«ããŽã«Lv.73ã¯éã
ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{AA}x & {AB}x) -> {B}x fact2: (¬{AB}{aa} & {IK}{aa}) -> {DM}{aa} fact3: (Ex): (¬{AA}x & {AB}x) -> {B}x fact4: (x): {AA}x -> {B}x ; $hypothesis$ = ¬((Ex): ¬(¬{AA}x & {AB}x) -> {B}x) ; $proof$ = | fact1 -> int1: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ãŽã«ã
ãŽãLv.5ãäŸååºæ¥ãã°ãã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªãããããã¯ãã°ãã°ãããªãããããã¯äž¡æ¹ãšãã | {B}{a} -> (¬{C}{b} v ¬{D}{b}) | fact1: ããã®ãã¡ãããLv.44ã¯ç©åããªãããšããããšã¯æãç«ã€ fact2: ãããã®ãŽã«ã
ãŽãLv.5ãç©åãããŸãäŸååºæ¥ããªããã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªã fact3: ãã®ãŽã«ã
ãŽãLv.5ã¯ç©åã fact4: ç©åããªãã¢ã³ã¹ã¿ãŒã¯ãã°ãã°ãããããã«ãã£ããªã | fact1: ¬{A}{fh} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: {A}{a} fact4: (x): ¬{A}x -> ({D}x & {IM}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ã
ãŽãLv.5ã¯äŸååºæ¥ã; fact3 & assump1 -> int1: ãã®ãŽã«ã
ãŽãLv.5ãç©åãããã®äžäŸååºæ¥ã; int1 & fact2 -> int2: ãã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªã; int2 -> int3: ãã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªãããã°ãã°ãããšããããšã¯ãªããäž¡æ¹ã ; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}{a}; fact3 & assump1 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; int2 -> int3: (¬{C}{b} v ¬{D}{b}); [assump1] & int3 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.61ã¯ãã°ãã°ãããŠæŽã«ãã£ããªã | ({D}{cp} & {IM}{cp}) | [
"fact5 -> int4: ããã®ã¿ãã¿ãLv.61ã¯ç©åããªãããšããããšã¯æãç«ã€ãªããã®ã¿ãã¿ãLv.61ã¯ãã°ãã°ããããã®äžãã£ããªã;"
] | 5 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ãã¡ãããLv.44ã¯ç©åããªãããšããããšã¯æãç«ã€ fact2: ãããã®ãŽã«ã
ãŽãLv.5ãç©åãããŸãäŸååºæ¥ããªããã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªã fact3: ãã®ãŽã«ã
ãŽãLv.5ã¯ç©åã fact4: ç©åããªãã¢ã³ã¹ã¿ãŒã¯ãã°ãã°ãããããã«ãã£ããªã ; $hypothesis$ = ãããã®ãŽã«ã
ãŽãLv.5ãäŸååºæ¥ãã°ãã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªãããããã¯ãã°ãã°ãããªãããããã¯äž¡æ¹ãšãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ã
ãŽãLv.5ã¯äŸååºæ¥ã; fact3 & assump1 -> int1: ãã®ãŽã«ã
ãŽãLv.5ãç©åãããã®äžäŸååºæ¥ã; int1 & fact2 -> int2: ãã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªã; int2 -> int3: ãã®ãŽã«ãŽã¡ãLv.68ã¯åºãããªãããã°ãã°ãããšããããšã¯ãªããäž¡æ¹ã ; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{fh} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: {A}{a} fact4: (x): ¬{A}x -> ({D}x & {IM}x) ; $hypothesis$ = {B}{a} -> (¬{C}{b} v ¬{D}{b}) ; $proof$ = | void -> assump1: {B}{a}; fact3 & assump1 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; int2 -> int3: (¬{C}{b} v ¬{D}{b}); [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã¡ãã·ãLv.19ã¯åããªãäžæ¹ã§ç ãæãããšããããšã¯åœã§ãã | ¬(¬{D}{a} & {B}{a}) | fact1: ãã®ãã«ãã¡ã
Lv.50ã¯èŠããªã fact2: ä»®ã«ãã®ãã«ãã¡ã
Lv.50ãç ãæããšããããã®ã·ã¡ãã·ãLv.19ã¯åããªããç ãæã fact3: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èŠããªããªããä¿¡å¿æ·±ããªãäžæ¹ã§æãç¡ãããšããããšã¯èª€ã£ãŠãã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯è²å¥œããªããªãã°ãããã¯èŠããŠç ãæãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ããã®ãã«ãã¡ã
Lv.50ã¯ä¿¡å¿æ·±ããªãããããæãç¡ãããšããããšã¯åœã§ãããªãã°ãã®ãã«ãã¡ã
Lv.50ã¯ç ãæã | fact1: ¬{A}{aa} fact2: {B}{aa} -> (¬{D}{a} & {B}{a}) fact3: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact4: (x): ¬{C}x -> ¬({A}x & {B}x) fact5: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa} | [
"fact3 -> int1: ãããã®ãã«ãã¡ã
Lv.50ã¯èŠããªããšãããšãä¿¡å¿æ·±ããªããŠããã¯æãç¡ãããšããããšã¯ééã£ãŠãã; int1 & fact1 -> int2: ããã®ãã«ãã¡ã
Lv.50ã¯ä¿¡å¿æ·±ããªããã©æãç¡ãããšããããšã¯åœã ; int2 & fact5 -> int3: ãã®ãã«ãã¡ã
Lv.50ã¯ç ãæã; int3 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact1 -> int2: ¬(¬{AA}{aa} & {AB}{aa}); int2 & fact5 -> int3: {B}{aa}; int3 & fact2 -> hypothesis;"
] | ãã®ã¿ã¡ã
ã¿ã«ã
Lv.52ã¯æŽãããŸãããšããããšã¯ãªãäžæ¹ã§åã | (¬{EO}{gl} & {D}{gl}) | [
"fact6 -> int4: ããä»®ã«ããã®ã·ã¡ãã·ãLv.19ã¯è²å¥œããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ãããã¯èŠãã¢ã³ã¹ã¿ãŒã§ãã£ãŠãŸãç ãæãããšããããšã¯äºå®ãšç°ãªã;"
] | 5 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãã«ãã¡ã
Lv.50ã¯èŠããªã fact2: ä»®ã«ãã®ãã«ãã¡ã
Lv.50ãç ãæããšããããã®ã·ã¡ãã·ãLv.19ã¯åããªããç ãæã fact3: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èŠããªããªããä¿¡å¿æ·±ããªãäžæ¹ã§æãç¡ãããšããããšã¯èª€ã£ãŠãã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯è²å¥œããªããªãã°ãããã¯èŠããŠç ãæãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ããã®ãã«ãã¡ã
Lv.50ã¯ä¿¡å¿æ·±ããªãããããæãç¡ãããšããããšã¯åœã§ãããªãã°ãã®ãã«ãã¡ã
Lv.50ã¯ç ãæã ; $hypothesis$ = ããã®ã·ã¡ãã·ãLv.19ã¯åããªãäžæ¹ã§ç ãæãããšããããšã¯åœã§ãã ; $proof$ = | fact3 -> int1: ãããã®ãã«ãã¡ã
Lv.50ã¯èŠããªããšãããšãä¿¡å¿æ·±ããªããŠããã¯æãç¡ãããšããããšã¯ééã£ãŠãã; int1 & fact1 -> int2: ããã®ãã«ãã¡ã
Lv.50ã¯ä¿¡å¿æ·±ããªããã©æãç¡ãããšããããšã¯åœã ; int2 & fact5 -> int3: ãã®ãã«ãã¡ã
Lv.50ã¯ç ãæã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{aa} fact2: {B}{aa} -> (¬{D}{a} & {B}{a}) fact3: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact4: (x): ¬{C}x -> ¬({A}x & {B}x) fact5: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa} ; $hypothesis$ = ¬(¬{D}{a} & {B}{a}) ; $proof$ = | fact3 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 & fact1 -> int2: ¬(¬{AA}{aa} & {AB}{aa}); int2 & fact5 -> int3: {B}{aa}; int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.27ã¯éæ®ã£ãããšããããšã¯ãªãããã©æã£ãã | (¬{G}{a} & {F}{a}) | fact1: ããä»®ã«ãã®ãŽããŽãLv.27ã¯å¡©èŸããªããšãããããã®ãŽããŽãLv.27ã¯éæ®ã£ããããã®äžæã£ããããšããããšã¯æãç«ããªã fact2: ãã®ãŽããŽãLv.27ã¯èæãã fact3: ããããã®ãŽããŽãLv.27ãçãæããªãã°ããã¯èµ·ããé£ã fact4: ããä»®ã«ãã®ãŸã«ããŸãLv.89ã¯å¡©èŸããªããªããããã®ãŸã«ããŸãLv.89ã¯èµ·ããé£ããŠæŽã«çœé»ããããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªãããšããããšã¯æ£ãã fact5: ãããã®ãŽããŽãLv.27ãèµ·ããé£ããããããããçœé»ããªããšãããå¡©èŸããªã fact6: ããã®ãŽããŽãLv.27ãéæ®ã£ããããã®äžããã¯æã£ããããšããããšã¯èª€ãã§ãã fact7: ãã®ãŽããŽãLv.27ã¯çãæãããã®äžèæãã fact8: ãã®ãŽããŽãLv.27ã¯çœé»ããªã fact9: ããä»®ã«ãã®ãŽããŽãLv.27ã¯å¡©èŸããªããšãããšãããã¯éæ®ã£ãããšããããšã¯ãªããã©æã£ããããšããããšã¯èª€ã£ãŠãã fact10: ããã®ãŸã«ããŸãLv.89ã¯éæ®ã£ãããããŸãã«æã£ããããšããããšã¯ééãã§ãããªãããã¯å¡©èŸããšããããšã¯ãªã | fact1: ¬{E}{a} -> ¬({G}{a} & {F}{a}) fact2: {B}{a} fact3: {A}{a} -> {C}{a} fact4: ¬{E}{cj} -> ¬({C}{cj} & {D}{cj}) fact5: ({C}{a} & ¬{D}{a}) -> ¬{E}{a} fact6: ¬({G}{a} & {F}{a}) fact7: ({A}{a} & {B}{a}) fact8: ¬{D}{a} fact9: ¬{E}{a} -> ¬(¬{G}{a} & {F}{a}) fact10: ¬({G}{cj} & {F}{cj}) -> ¬{E}{cj} | [
"fact7 -> int1: ãã®ãŽããŽãLv.27ã¯çãæã; int1 & fact3 -> int2: ãã®ãŽããŽãLv.27ã¯èµ·ããé£ã; int2 & fact8 -> int3: ãã®ãŽããŽãLv.27ã¯èµ·ããé£ãããããããã¯çœé»ããªã; int3 & fact5 -> int4: ãã®ãŽããŽãLv.27ã¯å¡©èŸããšããããšã¯ãªã; int4 & fact9 -> hypothesis;"
] | [
"fact7 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact8 -> int3: ({C}{a} & ¬{D}{a}); int3 & fact5 -> int4: ¬{E}{a}; int4 & fact9 -> hypothesis;"
] | ãã®ãŸã«ããŸãLv.89ã¯çãæã | {A}{cj} | [] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.27ã¯å¡©èŸããªããšãããããã®ãŽããŽãLv.27ã¯éæ®ã£ããããã®äžæã£ããããšããããšã¯æãç«ããªã fact2: ãã®ãŽããŽãLv.27ã¯èæãã fact3: ããããã®ãŽããŽãLv.27ãçãæããªãã°ããã¯èµ·ããé£ã fact4: ããä»®ã«ãã®ãŸã«ããŸãLv.89ã¯å¡©èŸããªããªããããã®ãŸã«ããŸãLv.89ã¯èµ·ããé£ããŠæŽã«çœé»ããããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªãããšããããšã¯æ£ãã fact5: ãããã®ãŽããŽãLv.27ãèµ·ããé£ããããããããçœé»ããªããšãããå¡©èŸããªã fact6: ããã®ãŽããŽãLv.27ãéæ®ã£ããããã®äžããã¯æã£ããããšããããšã¯èª€ãã§ãã fact7: ãã®ãŽããŽãLv.27ã¯çãæãããã®äžèæãã fact8: ãã®ãŽããŽãLv.27ã¯çœé»ããªã fact9: ããä»®ã«ãã®ãŽããŽãLv.27ã¯å¡©èŸããªããšãããšãããã¯éæ®ã£ãããšããããšã¯ãªããã©æã£ããããšããããšã¯èª€ã£ãŠãã fact10: ããã®ãŸã«ããŸãLv.89ã¯éæ®ã£ãããããŸãã«æã£ããããšããããšã¯ééãã§ãããªãããã¯å¡©èŸããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽããŽãLv.27ã¯éæ®ã£ãããšããããšã¯ãªãããã©æã£ãã ; $proof$ = | fact7 -> int1: ãã®ãŽããŽãLv.27ã¯çãæã; int1 & fact3 -> int2: ãã®ãŽããŽãLv.27ã¯èµ·ããé£ã; int2 & fact8 -> int3: ãã®ãŽããŽãLv.27ã¯èµ·ããé£ãããããããã¯çœé»ããªã; int3 & fact5 -> int4: ãã®ãŽããŽãLv.27ã¯å¡©èŸããšããããšã¯ãªã; int4 & fact9 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E}{a} -> ¬({G}{a} & {F}{a}) fact2: {B}{a} fact3: {A}{a} -> {C}{a} fact4: ¬{E}{cj} -> ¬({C}{cj} & {D}{cj}) fact5: ({C}{a} & ¬{D}{a}) -> ¬{E}{a} fact6: ¬({G}{a} & {F}{a}) fact7: ({A}{a} & {B}{a}) fact8: ¬{D}{a} fact9: ¬{E}{a} -> ¬(¬{G}{a} & {F}{a}) fact10: ¬({G}{cj} & {F}{cj}) -> ¬{E}{cj} ; $hypothesis$ = (¬{G}{a} & {F}{a}) ; $proof$ = | fact7 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact8 -> int3: ({C}{a} & ¬{D}{a}); int3 & fact5 -> int4: ¬{E}{a}; int4 & fact9 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãªã·ãLv.76ã¯å°ãªããªããäžžããªããäž¡æ¹ãšãã§ããããšããããšã¯ééã£ãŠãã | ¬(¬{A}{a} v ¬{C}{a}) | fact1: ãã®ã·ãªã·ãLv.76ãå°ãªããªããã®ã·ãªã·ãLv.76ã¯é£ã¹æã fact2: æãã¢ã³ã¹ã¿ãŒã¯äžžã fact3: äžžãã¢ã³ã¹ã¿ãŒã¯å°ãªã fact4: ããä»®ã«ãã®ã·ãªã·ãLv.76ãå°ãªããªãã°ãã®ã·ãªã·ãLv.76ã¯æããã | fact1: {A}{a} -> {EG}{a} fact2: (x): {D}x -> {C}x fact3: (x): {C}x -> {A}x fact4: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã·ãªã·ãLv.76ã¯å°ãªãããšããããšã¯æ£ãã; fact4 & assump1 -> int1: ãã®ã·ãªã·ãLv.76ã¯æããã;"
] | [
"void -> assump1: {A}{a}; fact4 & assump1 -> int1: {B}{a};"
] | ãã®ã¿ã¡ãã¿ãLv.40ã¯æããã | {B}{ce} | [
"fact6 -> int2: ãããã®ã¿ã¡ãã¿ãLv.40ã¯äžžããªãããã®ã¿ã¡ãã¿ãLv.40ã¯å°ãªãããšããããšã¯æ¬åœã ; fact5 -> int3: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.40ãæããšããã°ãã®ã¿ã¡ãã¿ãLv.40ã¯äžžã;"
] | 4 | 5 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ãªã·ãLv.76ãå°ãªããªããã®ã·ãªã·ãLv.76ã¯é£ã¹æã fact2: æãã¢ã³ã¹ã¿ãŒã¯äžžã fact3: äžžãã¢ã³ã¹ã¿ãŒã¯å°ãªã fact4: ããä»®ã«ãã®ã·ãªã·ãLv.76ãå°ãªããªãã°ãã®ã·ãªã·ãLv.76ã¯æããã ; $hypothesis$ = ããã®ã·ãªã·ãLv.76ã¯å°ãªããªããäžžããªããäž¡æ¹ãšãã§ããããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {EG}{a} fact2: (x): {D}x -> {C}x fact3: (x): {C}x -> {A}x fact4: {A}{a} -> {B}{a} ; $hypothesis$ = ¬(¬{A}{a} v ¬{C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ã
ãŽãLv.82ã¯åŸ¡å¯ããªã | ¬{H}{d} | fact1: ä»®ã«ãã®ãœããœãLv.34ãåçºãæãããããéç¡ããšããã°ãã®ãŽããŽã¡ãLv.35ã¯åçºãæããªã fact2: ä»®ã«ããã®ãœããœãLv.34ã¯èº«æææããããšããããšã¯äºå®ã ãšãããšãã®ããªããLv.82ã¯åŒã£è¿ããªã fact3: ããæ°é«ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åçºãæããªããšããã°ããã®ãœããœãLv.34ã¯èº«æææããããšããããšã¯çå®ã§ãã fact4: ãããã®ããªããLv.82ãåŒã£è¿ããªããŠããã«éç¡ããªããªããã®ãŽããŽã¡ãLv.35ã¯äœ¿çšãé£ã fact5: ãæ°é«ããªãããã®äžåçºãæããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã®ãœããœãLv.34ã¯éç¡ããŠäžãæã fact7: ããä»®ã«ãã®ãœããœãLv.34ã身æææãããªããã®ããªããLv.82ã¯åŒã£è¿ããšããããšã¯ãªãããã€ããã¯éç¡ããªã fact8: ããããã®ãŽããŽã¡ãLv.35ãäžãæããšããããã®ãŽã«ã
ãŽãLv.82ã¯åŸ¡å¯ã fact9: ä»®ã«ãã®ãŽããŽã¡ãLv.35ã䜿çšãé£ããšããã°ãã®ãŽããŽã¡ãLv.35ã¯äžãæã fact10: ãããã®ãœããœãLv.34ã䜿çšãé£ããªããªããã®ãœããœãLv.34ã¯èº«æææãããæŽã«ããã¯åçºãæã | fact1: ({B}{a} & {E}{a}) -> ¬{B}{c} fact2: {C}{a} -> ¬{D}{b} fact3: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact4: (¬{D}{b} & ¬{E}{b}) -> {F}{c} fact5: (Ex): (¬{A}x & ¬{B}x) fact6: ({E}{a} & {G}{a}) fact7: {C}{a} -> (¬{D}{b} & ¬{E}{b}) fact8: {G}{c} -> {H}{d} fact9: {F}{c} -> {G}{c} fact10: ¬{F}{a} -> ({C}{a} & {B}{a}) | [
"fact5 & fact3 -> int1: ãã®ãœããœãLv.34ã¯èº«æææãã; int1 & fact7 -> int2: ãã®ããªããLv.82ã¯åŒã£è¿ããªããå ããŠéç¡ããªã; int2 & fact4 -> int3: ãã®ãŽããŽã¡ãLv.35ã¯äœ¿çšãé£ã; int3 & fact9 -> int4: ãã®ãŽããŽã¡ãLv.35ã¯äžãæã; int4 & fact8 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: {C}{a}; int1 & fact7 -> int2: (¬{D}{b} & ¬{E}{b}); int2 & fact4 -> int3: {F}{c}; int3 & fact9 -> int4: {G}{c}; int4 & fact8 -> hypothesis;"
] | ãã®ãŽããŽã¡ãLv.35ã¯åŒã£è¿ã | {D}{c} | [
"fact12 -> int5: ããã®ãœããœãLv.34ã¯éç¡ãããšããããšã¯æãç«ã€;"
] | 6 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœããœãLv.34ãåçºãæãããããéç¡ããšããã°ãã®ãŽããŽã¡ãLv.35ã¯åçºãæããªã fact2: ä»®ã«ããã®ãœããœãLv.34ã¯èº«æææããããšããããšã¯äºå®ã ãšãããšãã®ããªããLv.82ã¯åŒã£è¿ããªã fact3: ããæ°é«ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åçºãæããªããšããã°ããã®ãœããœãLv.34ã¯èº«æææããããšããããšã¯çå®ã§ãã fact4: ãããã®ããªããLv.82ãåŒã£è¿ããªããŠããã«éç¡ããªããªããã®ãŽããŽã¡ãLv.35ã¯äœ¿çšãé£ã fact5: ãæ°é«ããªãããã®äžåçºãæããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã®ãœããœãLv.34ã¯éç¡ããŠäžãæã fact7: ããä»®ã«ãã®ãœããœãLv.34ã身æææãããªããã®ããªããLv.82ã¯åŒã£è¿ããšããããšã¯ãªãããã€ããã¯éç¡ããªã fact8: ããããã®ãŽããŽã¡ãLv.35ãäžãæããšããããã®ãŽã«ã
ãŽãLv.82ã¯åŸ¡å¯ã fact9: ä»®ã«ãã®ãŽããŽã¡ãLv.35ã䜿çšãé£ããšããã°ãã®ãŽããŽã¡ãLv.35ã¯äžãæã fact10: ãããã®ãœããœãLv.34ã䜿çšãé£ããªããªããã®ãœããœãLv.34ã¯èº«æææãããæŽã«ããã¯åçºãæã ; $hypothesis$ = ãã®ãŽã«ã
ãŽãLv.82ã¯åŸ¡å¯ããªã ; $proof$ = | fact5 & fact3 -> int1: ãã®ãœããœãLv.34ã¯èº«æææãã; int1 & fact7 -> int2: ãã®ããªããLv.82ã¯åŒã£è¿ããªããå ããŠéç¡ããªã; int2 & fact4 -> int3: ãã®ãŽããŽã¡ãLv.35ã¯äœ¿çšãé£ã; int3 & fact9 -> int4: ãã®ãŽããŽã¡ãLv.35ã¯äžãæã; int4 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B}{a} & {E}{a}) -> ¬{B}{c} fact2: {C}{a} -> ¬{D}{b} fact3: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact4: (¬{D}{b} & ¬{E}{b}) -> {F}{c} fact5: (Ex): (¬{A}x & ¬{B}x) fact6: ({E}{a} & {G}{a}) fact7: {C}{a} -> (¬{D}{b} & ¬{E}{b}) fact8: {G}{c} -> {H}{d} fact9: {F}{c} -> {G}{c} fact10: ¬{F}{a} -> ({C}{a} & {B}{a}) ; $hypothesis$ = ¬{H}{d} ; $proof$ = | fact5 & fact3 -> int1: {C}{a}; int1 & fact7 -> int2: (¬{D}{b} & ¬{E}{b}); int2 & fact4 -> int3: {F}{c}; int3 & fact9 -> int4: {G}{c}; int4 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | èŸããšããããšãèµ·ãã | {C} | fact1: ã·ãã·ãªLv.29äºä»¶ããã³æ§è¯ããšããããšã©ã¡ãããèµ·ãã fact2: æ§è¯ããšããããšã¯çºçããªããªãèŸããšããããšã§ã¯ãªãã·ãã·ãªLv.29äºä»¶ãçãã fact3: ååããããšãšã·ãã·ãªLv.29äºä»¶ãèµ·ããã¯æ§è¯ããšããããšã¯èµ·ããªããšããããšã«èªçºããã | fact1: ({A} & {B}) fact2: ¬{B} -> (¬{C} & {A}) fact3: ¬{B} -> ({IK} & {A}) | [
"fact1 -> int1: æ§è¯ããšããããšãèµ·ãã; void -> assump1: 以äžã®ããã«ä»®å®ãããèŸããšããããšã¯èµ·ããªã; int1 & assump1 -> int2: æ§è¯ããšããããšãèµ·ãããèŸããšããããšã¯èµ·ããªã;"
] | [
"fact1 -> int1: {B}; void -> assump1: ¬{C}; int1 & assump1 -> int2: ({B} & ¬{C});"
] | 以äžã®ããã«ä»®å®ãããèŸããšããããšã¯èµ·ããªã | ¬{C} | [] | 5 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã·ãã·ãªLv.29äºä»¶ããã³æ§è¯ããšããããšã©ã¡ãããèµ·ãã fact2: æ§è¯ããšããããšã¯çºçããªããªãèŸããšããããšã§ã¯ãªãã·ãã·ãªLv.29äºä»¶ãçãã fact3: ååããããšãšã·ãã·ãªLv.29äºä»¶ãèµ·ããã¯æ§è¯ããšããããšã¯èµ·ããªããšããããšã«èªçºããã ; $hypothesis$ = èŸããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{B} -> (¬{C} & {A}) fact3: ¬{B} -> ({IK} & {A}) ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽããŽãLv.4äºä»¶ãçããªããå ããŠãœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ãããªã | (¬{AA} & ¬{AB}) | fact1: ããä»®ã«ã¿ã£ãšãå¯æããšããããšã¯èµ·ããªããªãã°ããœã®ãœã«ã
Lv.93äºä»¶ã§ã¯ãªããŠãŸã«ã
ãŸã¡ãLv.49äºä»¶ãèµ·ããããšããããšã¯èª€ãã fact2: ä»®ã«ãŽããŽã«Lv.88äºä»¶ãçããªããªãã°ãœã«ããœã¡ã
Lv.89äºä»¶ã¯çºçããããããã¯è¥ã
ãããšããããšãçãã fact3: ãœã«ããœã¡ã
Lv.89äºä»¶ã¯çããªã fact4: ãœããœã«Lv.82äºä»¶ãçãããšãããšããŽããŽãLv.4äºä»¶ãèµ·ããªãããã€ãœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã fact5: ããä»®ã«ããœã®ãœã«ã
Lv.93äºä»¶ã§ã¯ãªããŸã«ã
ãŸã¡ãLv.49äºä»¶ãçããããšããããšã¯èª€ããªããŽããŽã«Lv.88äºä»¶ã¯èµ·ãããªã fact6: ããããŽããŽãLv.4äºä»¶ãçããªããŠããŸãã«ãœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããªããœã«ããœã¡ã
Lv.89äºä»¶ãèµ·ãã | fact1: ¬{G} -> ¬(¬{F} & {E}) fact2: ¬{D} -> ({B} v {C}) fact3: ¬{B} fact4: {A} -> ¬(¬{AA} & ¬{AB}) fact5: ¬(¬{F} & {E}) -> ¬{D} fact6: ¬(¬{AA} & ¬{AB}) -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããŽããŽãLv.4äºä»¶ã¯èµ·ãããªãããœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; fact6 & assump1 -> int1: ããœã«ããœã¡ã
Lv.89äºä»¶ãçºçããããšããããšã¯ç¢ºãã ; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA} & ¬{AB}); fact6 & assump1 -> int1: {B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããããŽããŽãLv.4äºä»¶ã¯èµ·ãããªãããœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã | ¬(¬{AA} & ¬{AB}) | [] | 9 | 4 | 3 | 4 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ã¿ã£ãšãå¯æããšããããšã¯èµ·ããªããªãã°ããœã®ãœã«ã
Lv.93äºä»¶ã§ã¯ãªããŠãŸã«ã
ãŸã¡ãLv.49äºä»¶ãèµ·ããããšããããšã¯èª€ãã fact2: ä»®ã«ãŽããŽã«Lv.88äºä»¶ãçããªããªãã°ãœã«ããœã¡ã
Lv.89äºä»¶ã¯çºçããããããã¯è¥ã
ãããšããããšãçãã fact3: ãœã«ããœã¡ã
Lv.89äºä»¶ã¯çããªã fact4: ãœããœã«Lv.82äºä»¶ãçãããšãããšããŽããŽãLv.4äºä»¶ãèµ·ããªãããã€ãœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã fact5: ããä»®ã«ããœã®ãœã«ã
Lv.93äºä»¶ã§ã¯ãªããŸã«ã
ãŸã¡ãLv.49äºä»¶ãçããããšããããšã¯èª€ããªããŽããŽã«Lv.88äºä»¶ã¯èµ·ãããªã fact6: ããããŽããŽãLv.4äºä»¶ãçããªããŠããŸãã«ãœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããªããœã«ããœã¡ã
Lv.89äºä»¶ãèµ·ãã ; $hypothesis$ = ãŽããŽãLv.4äºä»¶ãçããªããå ããŠãœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããŽããŽãLv.4äºä»¶ã¯èµ·ãããªãããœã¡ã
ãœã«ãLv.8äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; fact6 & assump1 -> int1: ããœã«ããœã¡ã
Lv.89äºä»¶ãçºçããããšããããšã¯ç¢ºãã ; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{G} -> ¬(¬{F} & {E}) fact2: ¬{D} -> ({B} v {C}) fact3: ¬{B} fact4: {A} -> ¬(¬{AA} & ¬{AB}) fact5: ¬(¬{F} & {E}) -> ¬{D} fact6: ¬(¬{AA} & ¬{AB}) -> {B} ; $hypothesis$ = (¬{AA} & ¬{AB}) ; $proof$ = | void -> assump1: ¬(¬{AA} & ¬{AB}); fact6 & assump1 -> int1: {B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ããä»®ã«ãæãæããªããŠããã«è¯ããªãããšããããšã¯åãªãéã£ãœããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ¬(¬{AA}x & ¬{AB}x) -> {B}x) | fact1: ãããã®ãããã¡ãLv.96ãè¯ããªãããã¯éã£ãœã fact2: ããããããã®ãããã¡ãLv.96ã¯æãæãããè¯ããªãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãããã¯éã£ãœã fact3: ãããä»®ã«ãæãæããããããè¯ããªãããšããããšã¯èª€ãã ãšããã°éã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ããããè¯ããšãããéã£ãœããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ç¢ºãã | fact1: {AB}{aa} -> {B}{aa} fact2: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} fact3: (Ex): ¬({AA}x & ¬{AB}x) -> {B}x fact4: (Ex): {AB}x -> {B}x | [] | [] | null | null | [] | null | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãããã¡ãLv.96ãè¯ããªãããã¯éã£ãœã fact2: ããããããã®ãããã¡ãLv.96ã¯æãæãããè¯ããªãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãããã¯éã£ãœã fact3: ãããä»®ã«ãæãæããããããè¯ããªãããšããããšã¯èª€ãã ãšããã°éã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ããããè¯ããšãããéã£ãœããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ç¢ºãã ; $hypothesis$ = ããä»®ã«ãæãæããªããŠããã«è¯ããªãããšããããšã¯åãªãéã£ãœããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AB}{aa} -> {B}{aa} fact2: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} fact3: (Ex): ¬({AA}x & ¬{AB}x) -> {B}x fact4: (Ex): {AB}x -> {B}x ; $hypothesis$ = ¬((Ex): ¬(¬{AA}x & ¬{AB}x) -> {B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã¡ãLv.58ã¯äœæäœæãããªã | ¬{D}{b} | fact1: ãã®ã·ãã·ãLv.50ã¯æ¥ãæã fact2: ããä»®ã«ãã®ã·ãã·ãLv.50ããããããããŸãã¯åŸãããããããã¯äž¡æ¹ã ãšããã°ãã®ã¿ãã¿ã¡ãLv.58ã¯äœæäœæãããšããããšã¯ãªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãæã | fact1: {B}{a} fact2: ({A}{a} v {C}{a}) -> ¬{D}{b} fact3: (x): {B}x | [] | [] | null | null | [] | null | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ãLv.50ã¯æ¥ãæã fact2: ããä»®ã«ãã®ã·ãã·ãLv.50ããããããããŸãã¯åŸãããããããã¯äž¡æ¹ã ãšããã°ãã®ã¿ãã¿ã¡ãLv.58ã¯äœæäœæãããšããããšã¯ãªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãæã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.58ã¯äœæäœæãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} v {C}{a}) -> ¬{D}{b} fact3: (x): {B}x ; $hypothesis$ = ¬{D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœã«ã
ãœãLv.38ã¯åãé£ããŠçŸããããšããããšã¯æãç«ããªã | ¬({E}{c} & {F}{c}) | fact1: ããã®ãŸããŸã¡ãLv.19ã¯çã£æãããšããããšã¯æ£ãã fact2: ä»®ã«ããã®ãœããœãLv.80ã¯ä»°ã
ããããšããããšã¯åã ãšããããšã¯ãªããªãã°ãã®ãœã«ã
ãœãLv.38ã¯æšå¥šåºæ¥ã fact3: ããä»®ã«ããã®ãŸããŸã¡ãLv.19ã¯çã£æãããšããããšã¯ç¢ºãã§ãããªãã°ããã¯ãšãã fact4: ä»®ã«ãã®ãœã«ã
ãœãLv.38ãæšå¥šåºæ¥ããšãããããã¯åãé£ã fact5: ããä»®ã«ãã®ãŸããŸã¡ãLv.19ããšãããšãããšãã®ãœããœãLv.80ã¯ä»°ã
ãã | fact1: {A}{a} fact2: {C}{b} -> {D}{c} fact3: {A}{a} -> {B}{a} fact4: {D}{c} -> {E}{c} fact5: {B}{a} -> {C}{b} | [
"fact3 & fact1 -> int1: ãã®ãŸããŸã¡ãLv.19ã¯ãšãã; int1 & fact5 -> int2: ãã®ãœããœãLv.80ã¯ä»°ã
ãã; int2 & fact2 -> int3: ãã®ãœã«ã
ãœãLv.38ã¯æšå¥šåºæ¥ã; int3 & fact4 -> int4: ãã®ãœã«ã
ãœãLv.38ã¯åãé£ã;"
] | [
"fact3 & fact1 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; int3 & fact4 -> int4: {E}{c};"
] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãŸããŸã¡ãLv.19ã¯çã£æãããšããããšã¯æ£ãã fact2: ä»®ã«ããã®ãœããœãLv.80ã¯ä»°ã
ããããšããããšã¯åã ãšããããšã¯ãªããªãã°ãã®ãœã«ã
ãœãLv.38ã¯æšå¥šåºæ¥ã fact3: ããä»®ã«ããã®ãŸããŸã¡ãLv.19ã¯çã£æãããšããããšã¯ç¢ºãã§ãããªãã°ããã¯ãšãã fact4: ä»®ã«ãã®ãœã«ã
ãœãLv.38ãæšå¥šåºæ¥ããšãããããã¯åãé£ã fact5: ããä»®ã«ãã®ãŸããŸã¡ãLv.19ããšãããšãããšãã®ãœããœãLv.80ã¯ä»°ã
ãã ; $hypothesis$ = ããã®ãœã«ã
ãœãLv.38ã¯åãé£ããŠçŸããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {C}{b} -> {D}{c} fact3: {A}{a} -> {B}{a} fact4: {D}{c} -> {E}{c} fact5: {B}{a} -> {C}{b} ; $hypothesis$ = ¬({E}{c} & {F}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.74ã¯èŠæã | {A}{b} | fact1: ããããã®ã¿ã«ãã¿ã®Lv.32ããããããªããã®ã¿ãã¿ãLv.74ã¯èŠæã fact2: åãé¢ãé£ãã¢ã³ã¹ã¿ãŒã¯åŸããããªãããã€ãããããªã fact3: åŸããããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒããããããªããªãããã¯èŠæããªã fact4: ãã®ã¿ã«ãã¿ã®Lv.32ã¯æãŠãç¡ããªããŠå ããŠçèŸããªã fact5: ããããã®ãŽããŽã®Lv.20ã¯èŠä»ãé£ããšããããšã¯ãªããªãã°ãããã®ã¿ã«ãã¿ã®Lv.32ã¯è
ç²æç¡ããã©ããã¯åãé¢ãé£ããªãããšããããšã¯èª€ãã ããšããããšã¯æãç«ã€ | fact1: {B}{a} -> {A}{b} fact2: (x): {D}x -> (¬{C}x & ¬{B}x) fact3: (x): (¬{C}x & ¬{B}x) -> ¬{A}x fact4: (¬{AA}{a} & ¬{AB}{a}) fact5: ¬{F}{c} -> ¬({E}{a} & ¬{D}{a}) | [] | [] | ãã®ã¿ãã¿ãLv.74ã¯èŠæããªã | ¬{A}{b} | [
"fact8 -> int1: ãã®ã¿ãã¿ãLv.74ã¯åŸããããªãããããããªããªãèŠæããªã; fact7 -> int2: ãããã®ã¿ãã¿ãLv.74ãåãé¢ãé£ããšããããã®ã¿ãã¿ãLv.74ã¯åŸããããªããããã«ããã¯ãããããšããããšã¯ãªã;"
] | 6 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ã¿ã«ãã¿ã®Lv.32ããããããªããã®ã¿ãã¿ãLv.74ã¯èŠæã fact2: åãé¢ãé£ãã¢ã³ã¹ã¿ãŒã¯åŸããããªãããã€ãããããªã fact3: åŸããããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒããããããªããªãããã¯èŠæããªã fact4: ãã®ã¿ã«ãã¿ã®Lv.32ã¯æãŠãç¡ããªããŠå ããŠçèŸããªã fact5: ããããã®ãŽããŽã®Lv.20ã¯èŠä»ãé£ããšããããšã¯ãªããªãã°ãããã®ã¿ã«ãã¿ã®Lv.32ã¯è
ç²æç¡ããã©ããã¯åãé¢ãé£ããªãããšããããšã¯èª€ãã ããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ã¿ãã¿ãLv.74ã¯èŠæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {A}{b} fact2: (x): {D}x -> (¬{C}x & ¬{B}x) fact3: (x): (¬{C}x & ¬{B}x) -> ¬{A}x fact4: (¬{AA}{a} & ¬{AB}{a}) fact5: ¬{F}{c} -> ¬({E}{a} & ¬{D}{a}) ; $hypothesis$ = {A}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«Lv.54ã¯çãé£ããšããããšã¯ãªã | ¬{E}{d} | fact1: ãã®ã¿ã®ã¿ãLv.62ã¯ä»æç¡ã fact2: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯åœŒããããšããããšã¯ãªãããããæŽã
ããããšããããšã¯æãç«ããªããªãã°çãé£ããªã fact3: ããä»®ã«æŽã
ããã¢ã³ã¹ã¿ãŒã圌ããããšãããšãã®ã¿ã¡ãã¿ãLv.99ã¯ä»æç¡ã fact4: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯æŽã
ãã fact5: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯ä»æç¡ããªããªãã°ãããã®ã¿ãã¿ã«Lv.54ã¯åœŒããããªãããã©æŽã
ããããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ã€ fact6: ä»®ã«ããã®ã¿ã¡ãã¿ãLv.99ã¯ä»æç¡ããªãããšããããšã¯æãç«ããªããªããã®ãœã«ããœã«ãLv.25ã¯è¡æ£èã fact7: ããããã®ãœã«ããœã«ãLv.25ã¯è¡æ£èãããšããããšã¯æ£ãããªãã°ãã®ã¿ãã¿ã«Lv.54ã¯çãé£ã fact8: ããããããã®ã¿ã¡ãã¿ãLv.99ã¯é£œãã£ãœããšããããšã¯ãªãããããã¯è¡æ£èããªããäž¡æ¹ã ããšããããšã¯çå®ã ããšããããšã¯æãç«ããªããªããã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯ä»æç¡ããªã fact9: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯åœŒããã | fact1: {C}{gk} fact2: (x): ¬(¬{B}x & {A}x) -> ¬{E}x fact3: (x): ({A}x & {B}x) -> {C}{b} fact4: {A}{a} fact5: ¬{C}{a} -> ¬(¬{B}{d} & {A}{d}) fact6: {C}{b} -> {D}{c} fact7: {D}{c} -> {E}{d} fact8: ¬(¬{F}{b} v ¬{D}{b}) -> ¬{C}{a} fact9: {B}{a} | [
"fact4 & fact9 -> int1: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯æŽã
ãããå ããŠåœŒããã; int1 -> int2: ãæŽã
ããããŸã圌ããããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact3 -> int3: ãã®ã¿ã¡ãã¿ãLv.99ã¯ä»æç¡ã; int3 & fact6 -> int4: ãã®ãœã«ããœã«ãLv.25ã¯è¡æ£èã; int4 & fact7 -> hypothesis;"
] | [
"fact4 & fact9 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact3 -> int3: {C}{b}; int3 & fact6 -> int4: {D}{c}; int4 & fact7 -> hypothesis;"
] | ãã®ã¿ãã¿ã«Lv.54ã¯çãé£ããšããããšã¯ãªã | ¬{E}{d} | [
"fact12 -> int5: ãããããã®ã¿ãã¿ã«Lv.54ã¯åœŒããããªãããã©æŽã
ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãã®ã¿ãã¿ã«Lv.54ã¯çãé£ããšããããšã¯ãªã;"
] | 6 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã®ã¿ãLv.62ã¯ä»æç¡ã fact2: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯åœŒããããšããããšã¯ãªãããããæŽã
ããããšããããšã¯æãç«ããªããªãã°çãé£ããªã fact3: ããä»®ã«æŽã
ããã¢ã³ã¹ã¿ãŒã圌ããããšãããšãã®ã¿ã¡ãã¿ãLv.99ã¯ä»æç¡ã fact4: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯æŽã
ãã fact5: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯ä»æç¡ããªããªãã°ãããã®ã¿ãã¿ã«Lv.54ã¯åœŒããããªãããã©æŽã
ããããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ã€ fact6: ä»®ã«ããã®ã¿ã¡ãã¿ãLv.99ã¯ä»æç¡ããªãããšããããšã¯æãç«ããªããªããã®ãœã«ããœã«ãLv.25ã¯è¡æ£èã fact7: ããããã®ãœã«ããœã«ãLv.25ã¯è¡æ£èãããšããããšã¯æ£ãããªãã°ãã®ã¿ãã¿ã«Lv.54ã¯çãé£ã fact8: ããããããã®ã¿ã¡ãã¿ãLv.99ã¯é£œãã£ãœããšããããšã¯ãªãããããã¯è¡æ£èããªããäž¡æ¹ã ããšããããšã¯çå®ã ããšããããšã¯æãç«ããªããªããã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯ä»æç¡ããªã fact9: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯åœŒããã ; $hypothesis$ = ãã®ã¿ãã¿ã«Lv.54ã¯çãé£ããšããããšã¯ãªã ; $proof$ = | fact4 & fact9 -> int1: ãã®ã¿ã¡ã
ã¿ã«ãLv.92ã¯æŽã
ãããå ããŠåœŒããã; int1 -> int2: ãæŽã
ããããŸã圌ããããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact3 -> int3: ãã®ã¿ã¡ãã¿ãLv.99ã¯ä»æç¡ã; int3 & fact6 -> int4: ãã®ãœã«ããœã«ãLv.25ã¯è¡æ£èã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{gk} fact2: (x): ¬(¬{B}x & {A}x) -> ¬{E}x fact3: (x): ({A}x & {B}x) -> {C}{b} fact4: {A}{a} fact5: ¬{C}{a} -> ¬(¬{B}{d} & {A}{d}) fact6: {C}{b} -> {D}{c} fact7: {D}{c} -> {E}{d} fact8: ¬(¬{F}{b} v ¬{D}{b}) -> ¬{C}{a} fact9: {B}{a} ; $hypothesis$ = ¬{E}{d} ; $proof$ = | fact4 & fact9 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact3 -> int3: {C}{b}; int3 & fact6 -> int4: {D}{c}; int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | å°ããšããããšã§ã¯ãªããŠãŸã«ããŸã¡ã
Lv.72äºä»¶ãçºçãã | (¬{A} & {C}) | fact1: ãœããœã«ã
Lv.93äºä»¶ã¯èµ·ããªã fact2: ãç
®ç«ã€ããšãèµ·ããããšããããšã¯æ£ãã fact3: å¹³äŒãããšã§ã¯ãªãéçœããšããããšãèµ·ãã fact4: å°ããšããããšã¯ãœããœã«ã
Lv.93äºä»¶ããããã | fact1: ¬{B} fact2: {BF} fact3: (¬{CE} & {CL}) fact4: {A} -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããå°ããšããããšãèµ·ãã; fact4 & assump1 -> int1: ãœããœã«ã
Lv.93äºä»¶ãèµ·ãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: å°ããšããããšã¯èµ·ããªã;"
] | [
"void -> assump1: {A}; fact4 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A};"
] | ãå°ããšããããšã¯çºçããªãããã©ãŸã«ããŸã¡ã
Lv.72äºä»¶ãçããããšããããšã¯æãç«ããªã | ¬(¬{A} & {C}) | [
" -> hypothesis;"
] | 0 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãœããœã«ã
Lv.93äºä»¶ã¯èµ·ããªã fact2: ãç
®ç«ã€ããšãèµ·ããããšããããšã¯æ£ãã fact3: å¹³äŒãããšã§ã¯ãªãéçœããšããããšãèµ·ãã fact4: å°ããšããããšã¯ãœããœã«ã
Lv.93äºä»¶ããããã ; $hypothesis$ = å°ããšããããšã§ã¯ãªããŠãŸã«ããŸã¡ã
Lv.72äºä»¶ãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} fact2: {BF} fact3: (¬{CE} & {CL}) fact4: {A} -> {B} ; $hypothesis$ = (¬{A} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸããªã | ¬{B}{b} | fact1: ãã®ãŸã¡ããŸã«ã
Lv.12ã¯èŠå®ãåã fact2: ããä»®ã«ãã®ãŸããŸã®Lv.38ãæãããšããããã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸããªããèŠå®ãåããªã fact3: ããã®ãŸããŸã®Lv.38ã¯èŠå®ãåãããšããããšã¯æ¬åœã§ãããšããããã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸãã fact4: å€åãæããªãã¢ã³ã¹ã¿ãŒã¯æãããããã«ã©ãããŠã欲ãã fact5: ãã®ãŸããŸã®Lv.38ã¯èŠå®ãåã fact6: ããããã®ãŸããŸã®Lv.38ãäŸããã°ãã®ãŸã¡ããŸã«ã
Lv.12ã¯èŠå®ãåã fact7: ããããã®ãŸã¡ããŸã«ã
Lv.12ã¯èŠå®ãåãã°ããã®ãŸããŸã®Lv.38ã¯äŸããããšããããšã¯æ¬åœã | fact1: {A}{b} fact2: {C}{a} -> (¬{B}{b} & ¬{A}{b}) fact3: {A}{a} -> {B}{b} fact4: (x): ¬{E}x -> ({C}x & {D}x) fact5: {A}{a} fact6: {B}{a} -> {A}{b} fact7: {A}{b} -> {B}{a} | [
"fact5 -> int1: ãã®ãŸããŸã®Lv.38ã¯èŠå®ãåã; int1 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸããªã | ¬{B}{b} | [
"fact8 -> int2: ãã®ãŸããŸã®Lv.38ã¯å€åãæããªããšããã°ããã¯æããããŸãã©ãããŠã欲ãã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã¡ããŸã«ã
Lv.12ã¯èŠå®ãåã fact2: ããä»®ã«ãã®ãŸããŸã®Lv.38ãæãããšããããã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸããªããèŠå®ãåããªã fact3: ããã®ãŸããŸã®Lv.38ã¯èŠå®ãåãããšããããšã¯æ¬åœã§ãããšããããã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸãã fact4: å€åãæããªãã¢ã³ã¹ã¿ãŒã¯æãããããã«ã©ãããŠã欲ãã fact5: ãã®ãŸããŸã®Lv.38ã¯èŠå®ãåã fact6: ããããã®ãŸããŸã®Lv.38ãäŸããã°ãã®ãŸã¡ããŸã«ã
Lv.12ã¯èŠå®ãåã fact7: ããããã®ãŸã¡ããŸã«ã
Lv.12ã¯èŠå®ãåãã°ããã®ãŸããŸã®Lv.38ã¯äŸããããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ãŸã¡ããŸã«ã
Lv.12ã¯äŸããªã ; $proof$ = | fact5 -> int1: ãã®ãŸããŸã®Lv.38ã¯èŠå®ãåã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{b} fact2: {C}{a} -> (¬{B}{b} & ¬{A}{b}) fact3: {A}{a} -> {B}{b} fact4: (x): ¬{E}x -> ({C}x & {D}x) fact5: {A}{a} fact6: {B}{a} -> {A}{b} fact7: {A}{b} -> {B}{a} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact5 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã«ãLv.50ã¯åŸãæãããšããããšã¯ãªããæ§ã | (¬{C}{a} & {D}{a}) | fact1: ããããã®ã·ãã·ã«ãLv.50ãççããªããšãããšãã®ãœããœãLv.62ã¯å®ãããªã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.28ãæ§ããæ ¹æ°åŒ·ããªããã®ã·ãã·ã«ãLv.50ã¯ççããªã fact3: ãã®ã·ãã·ã«ãLv.50ã¯æ§ã fact4: ããããã®ãœããœãLv.62ã¯éèªããããã©æ®ããªãããšããããšã¯ç¢ºãã§ããããšããããšã¯åœã§ããããšããããšã¯ééãã§ãªã fact5: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯éèªãããæ®ããªãããšããããšã¯ééãã§ãããªãã°ããã¯ççããªã fact6: ãããã®ãœããœãLv.62ã¯ççããªããšããã°ããããã®ã·ãã·ã«ãLv.50ã¯ççãããå®ããããšããããšã¯ç¢ºãã§ããããšããããšã¯ç¢ºãã§ãªãããšããããšã¯ç¢ºãã fact7: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯å®ãããªããšãããšãããã¯åŸãæãããç³åããªãããšããããšã¯åã§ãã | fact1: ¬{B}{a} -> ¬{A}{aa} fact2: ({D}{b} & {E}{b}) -> ¬{B}{a} fact3: {D}{a} fact4: ¬({AA}{aa} & ¬{AB}{aa}) fact5: (x): ¬({AA}x & ¬{AB}x) -> ¬{B}x fact6: ¬{B}{aa} -> ¬({B}{a} & {A}{a}) fact7: (x): ¬{A}x -> ¬({C}x & ¬{IJ}x) | [
"fact5 -> int1: ããã®ãœããœãLv.62ã¯éèªãããã©æ®ããªãããšããããšã¯æãç«ããªããªããã®ãœããœãLv.62ã¯ççããªã; int1 & fact4 -> int2: ãã®ãœããœãLv.62ã¯ççããªã; int2 & fact6 -> int3: ããã®ã·ãã·ã«ãLv.50ã¯ççãããããŸãã«ããã¯å®ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | [
"fact5 -> int1: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact4 -> int2: ¬{B}{aa}; int2 & fact6 -> int3: ¬({B}{a} & {A}{a});"
] | ããã®ãœããœãLv.62ã¯åŸãæãããã©ç³åãããšããããšã¯ãªãããšããããšã¯ééã£ãŠãã | ¬({C}{aa} & ¬{IJ}{aa}) | [
"fact8 -> int4: ããããã®ãœããœãLv.62ã¯å®ãããšããããšã¯ãªããšãããšãåŸãæããããã©ç³åããªãããšããããšã¯æãç«ããªã;"
] | 6 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ã·ãã·ã«ãLv.50ãççããªããšãããšãã®ãœããœãLv.62ã¯å®ãããªã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.28ãæ§ããæ ¹æ°åŒ·ããªããã®ã·ãã·ã«ãLv.50ã¯ççããªã fact3: ãã®ã·ãã·ã«ãLv.50ã¯æ§ã fact4: ããããã®ãœããœãLv.62ã¯éèªããããã©æ®ããªãããšããããšã¯ç¢ºãã§ããããšããããšã¯åœã§ããããšããããšã¯ééãã§ãªã fact5: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯éèªãããæ®ããªãããšããããšã¯ééãã§ãããªãã°ããã¯ççããªã fact6: ãããã®ãœããœãLv.62ã¯ççããªããšããã°ããããã®ã·ãã·ã«ãLv.50ã¯ççãããå®ããããšããããšã¯ç¢ºãã§ããããšããããšã¯ç¢ºãã§ãªãããšããããšã¯ç¢ºãã fact7: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯å®ãããªããšãããšãããã¯åŸãæãããç³åããªãããšããããšã¯åã§ãã ; $hypothesis$ = ãã®ã·ãã·ã«ãLv.50ã¯åŸãæãããšããããšã¯ãªããæ§ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} -> ¬{A}{aa} fact2: ({D}{b} & {E}{b}) -> ¬{B}{a} fact3: {D}{a} fact4: ¬({AA}{aa} & ¬{AB}{aa}) fact5: (x): ¬({AA}x & ¬{AB}x) -> ¬{B}x fact6: ¬{B}{aa} -> ¬({B}{a} & {A}{a}) fact7: (x): ¬{A}x -> ¬({C}x & ¬{IJ}x) ; $hypothesis$ = (¬{C}{a} & {D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ãªã·ãLv.69ã¯å«ãããããšããããšã¯ééãã§ãªã | {B}{b} | fact1: ãã®ã·ã«ãã·ãLv.78ã¯å«ããã fact2: ãã®ã·ã«ãã·ã¡ã
Lv.48ã¯èª¬æãé£ã | fact1: {B}{m} fact2: {A}{a} | [
"fact2 -> int1: ãã®ã·ã«ãã·ã¡ã
Lv.48ã¯èª¬æãé£ã;"
] | [
"fact2 -> int1: {A}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ã«ãã·ãLv.78ã¯å«ããã fact2: ãã®ã·ã«ãã·ã¡ã
Lv.48ã¯èª¬æãé£ã ; $hypothesis$ = ããã®ã·ãªã·ãLv.69ã¯å«ãããããšããããšã¯ééãã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{m} fact2: {A}{a} ; $hypothesis$ = {B}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœããœã¡ãLv.70ã¯åºå€åºæ¥ãªãäžæ¹ã§çãŸãæãããšããããšã¯æãç«ããªã | ¬(¬{A}{b} & {F}{b}) | fact1: ä»®ã«ãã®ãŸã«ããŸãªLv.89ãç©ããšããããã®ã·ãã·ã«ãLv.89ã¯ããããšããªãããããã¯ããã¯ç©ããªãããŸãã¯äž¡æ¹ãšãã fact2: ä»®ã«ãã®ã·ãã·ã«ãLv.89ã¯åºå€åºæ¥ããšãããšããã®ãœããœã¡ãLv.70ã¯åºå€åºæ¥ããããã«ããã¯çãŸãæãããšããããšã¯èª€ã£ãŠãã fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã空æããããªããšãããšããã¯ç©ã fact4: ãã®ãŸã«ããŸãªLv.89ã¯ç©ºæããããªã fact5: ããããã®ã·ãã·ã«ãLv.89ã¯ããããšããªãããããã¯ç©ããªããäž¡æ¹ã§ãããšãããšããã®ã·ãã·ã«ãLv.89ã¯åºå€åºæ¥ãããšããããšã¯æãç«ã€ fact6: ãããã®ã·ãã·ã«ãLv.89ãç©ããªããšããã°åºå€åºæ¥ã | fact1: {C}{aa} -> (¬{D}{a} v ¬{C}{a}) fact2: {A}{a} -> ¬({A}{b} & {F}{b}) fact3: (x): ¬{B}x -> {C}x fact4: ¬{B}{aa} fact5: (¬{D}{a} v ¬{C}{a}) -> {A}{a} fact6: ¬{C}{a} -> {A}{a} | [
"fact3 -> int1: ãããããã®ãŸã«ããŸãªLv.89ã¯ç©ºæããããªãããšããããšã¯æãç«ã€ãªãç©ã; int1 & fact4 -> int2: ãã®ãŸã«ããŸãªLv.89ã¯ç©ã; int2 & fact1 -> int3: ãã®ã·ãã·ã«ãLv.89ã¯ããããšããªãããŸãã¯ç©ããªãããããã¯äž¡æ¹ãšãã ; int3 & fact5 -> int4: ããã®ã·ãã·ã«ãLv.89ã¯åºå€åºæ¥ãããšããããšã¯æãç«ã€;"
] | [
"fact3 -> int1: ¬{B}{aa} -> {C}{aa}; int1 & fact4 -> int2: {C}{aa}; int2 & fact1 -> int3: (¬{D}{a} v ¬{C}{a}); int3 & fact5 -> int4: {A}{a};"
] | null | null | [] | null | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãŸã«ããŸãªLv.89ãç©ããšããããã®ã·ãã·ã«ãLv.89ã¯ããããšããªãããããã¯ããã¯ç©ããªãããŸãã¯äž¡æ¹ãšãã fact2: ä»®ã«ãã®ã·ãã·ã«ãLv.89ã¯åºå€åºæ¥ããšãããšããã®ãœããœã¡ãLv.70ã¯åºå€åºæ¥ããããã«ããã¯çãŸãæãããšããããšã¯èª€ã£ãŠãã fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã空æããããªããšãããšããã¯ç©ã fact4: ãã®ãŸã«ããŸãªLv.89ã¯ç©ºæããããªã fact5: ããããã®ã·ãã·ã«ãLv.89ã¯ããããšããªãããããã¯ç©ããªããäž¡æ¹ã§ãããšãããšããã®ã·ãã·ã«ãLv.89ã¯åºå€åºæ¥ãããšããããšã¯æãç«ã€ fact6: ãããã®ã·ãã·ã«ãLv.89ãç©ããªããšããã°åºå€åºæ¥ã ; $hypothesis$ = ããã®ãœããœã¡ãLv.70ã¯åºå€åºæ¥ãªãäžæ¹ã§çãŸãæãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{aa} -> (¬{D}{a} v ¬{C}{a}) fact2: {A}{a} -> ¬({A}{b} & {F}{b}) fact3: (x): ¬{B}x -> {C}x fact4: ¬{B}{aa} fact5: (¬{D}{a} v ¬{C}{a}) -> {A}{a} fact6: ¬{C}{a} -> {A}{a} ; $hypothesis$ = ¬(¬{A}{b} & {F}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ããŸã«Lv.46ã¯ååŸãæã | {AA}{a} | fact1: ãããããã®ãŸã«ããŸã«Lv.46ã¯ååŸãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã§ããããŸãã«ä»£çããããšããããšã¯æãç«ããªããšããã°ãã®ã¿ã®ã¿ã®Lv.68ã¯å°æ®ºãã fact2: ãã®ã¿ã®ã¿ã®Lv.68ã¯å°æ®ºããªã | fact1: ¬(¬{AA}{a} & {AB}{a}) -> {B}{b} fact2: ¬{B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸã«ããŸã«Lv.46ã¯ååŸãæããªãã代çããããšããããšã¯äºå®ãšç°ãªã; fact1 & assump1 -> int1: ãã®ã¿ã®ã¿ã®Lv.68ã¯å°æ®ºãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸã«ããŸã«Lv.46ã¯ååŸãæããªããã©ä»£çãã; int3 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} & {AB}{a}); int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããããã®ãŸã«ããŸã«Lv.46ã¯ååŸãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã§ããããŸãã«ä»£çããããšããããšã¯æãç«ããªããšããã°ãã®ã¿ã®ã¿ã®Lv.68ã¯å°æ®ºãã fact2: ãã®ã¿ã®ã¿ã®Lv.68ã¯å°æ®ºããªã ; $hypothesis$ = ãã®ãŸã«ããŸã«Lv.46ã¯ååŸãæã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸã«ããŸã«Lv.46ã¯ååŸãæããªãã代çããããšããããšã¯äºå®ãšç°ãªã; fact1 & assump1 -> int1: ãã®ã¿ã®ã¿ã®Lv.68ã¯å°æ®ºãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸã«ããŸã«Lv.46ã¯ååŸãæããªããã©ä»£çãã; int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{a} & {AB}{a}) -> {B}{b} fact2: ¬{B}{b} ; $hypothesis$ = {AA}{a} ; $proof$ = | void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} & {AB}{a}); int3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããŽããŽã¡ãLv.96äºä»¶ãçãã | {A} | fact1: ãå
¥ãèŸããšããããšã¯çºçããªãããšããããšã¯ãŽããŽã«Lv.48äºä»¶ã«ããçãã fact2: ã¿ãã¿ãLv.61äºä»¶ã¯èµ·ããªã fact3: çŽåŸãé£ããšããããšã¯çºçããªã fact4: ããããŽããŽã¡ãLv.96äºä»¶ãèµ·ããããããã¯ãŽããŽã«Lv.48äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ãããªãå
¥ãèŸããšããããšã¯çããªã | fact1: {B} -> ¬{C} fact2: ¬{DI} fact3: ¬{HG} fact4: ({A} v {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŽããŽã¡ãLv.96äºä»¶ãçãã; assump1 -> int1: ãŽããŽã¡ãLv.96äºä»¶ãçããããããã¯ãŽããŽã«Lv.48äºä»¶ãçºçããããããã¯äž¡æ¹ãšãã ; int1 & fact4 -> int2: å
¥ãèŸããšããããšã¯èµ·ãããªã;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact4 -> int2: ¬{C};"
] | null | null | [] | null | 5 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãå
¥ãèŸããšããããšã¯çºçããªãããšããããšã¯ãŽããŽã«Lv.48äºä»¶ã«ããçãã fact2: ã¿ãã¿ãLv.61äºä»¶ã¯èµ·ããªã fact3: çŽåŸãé£ããšããããšã¯çºçããªã fact4: ããããŽããŽã¡ãLv.96äºä»¶ãèµ·ããããããã¯ãŽããŽã«Lv.48äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ãããªãå
¥ãèŸããšããããšã¯çããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããŽããŽã¡ãLv.96äºä»¶ãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} -> ¬{C} fact2: ¬{DI} fact3: ¬{HG} fact4: ({A} v {B}) -> ¬{C} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã¡ãLv.72ã¯ç²ãé£ããªã | ¬{C}{b} | fact1: ããããã®ãããã®Lv.18ãç±ã
ããªãããã€ããã¯åã¡æããªããšãããããã®ã·ãã·ã¡ãLv.72ã¯äžŠã¹ç«ãŠãªãããšããããšã¯åœã§ãã fact2: ããããã®ãããã®Lv.18ãåãªããšãããšãã®ãããã®Lv.18ã¯ç±ã
ããªããããã«ããã¯åã¡æããšããããšã¯ãªã fact3: ããä»®ã«ãã®ã·ãã·ã¡ãLv.72ã䞊ã¹ç«ãŠããªãããã¯èãã fact4: ããã®ãœã®ãœãLv.64ã¯éé»ããšããããšã¯ãªãäžæ¹ã§çã ããããšããããšã¯ééãã§ãã fact5: ããä»®ã«ããã®ãœã®ãœãLv.64ã¯éé»ããªãããããçã ããããšããããšã¯èª€ãã§ãããšãããç²ãé£ããšããããšã¯ãªã fact6: ãã®ãããã®Lv.18ã¯åãªã fact7: ãã®ã·ãã·ã¡ãLv.72ãèãããšãããšããã¯ç²ãé£ã fact8: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯æœããããã¯äžŠã¹ç«ãŠãããšããããšã¯æãç«ããªããšãããããã¯æœããªã fact9: ããç²ãé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ãããªãããã®ã·ãã·ã¡ãLv.72ã¯æœããæŽã«äžŠã¹ç«ãŠãããšããããšã¯åœã fact10: ããä»®ã«ãã®ãœã®ãœãLv.64ã¯èãããªãããã®ãããã®Lv.18ã¯ç²ãé£ãäžæ¹ã§äžŠã¹ç«ãŠãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: (¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {D}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact3: {B}{b} -> {A}{b} fact4: ¬(¬{E}{c} & {F}{c}) fact5: ¬(¬{E}{c} & {F}{c}) -> ¬{C}{c} fact6: {D}{a} fact7: {A}{b} -> {C}{b} fact8: (x): ¬({II}x & {B}x) -> ¬{II}x fact9: (x): ¬{C}x -> ¬({II}{b} & {B}{b}) fact10: {A}{c} -> ¬({C}{a} & ¬{B}{a}) | [
"fact2 & fact6 -> int1: ãã®ãããã®Lv.18ã¯ç±ã
ããªããå ããŠåã¡æããªã; fact1 & int1 -> int2: ãã®ã·ãã·ã¡ãLv.72ã¯äžŠã¹ç«ãŠã; int2 & fact3 -> int3: ãã®ã·ãã·ã¡ãLv.72ã¯èãã; int3 & fact7 -> hypothesis;"
] | [
"fact2 & fact6 -> int1: (¬{AA}{a} & ¬{AB}{a}); fact1 & int1 -> int2: {B}{b}; int2 & fact3 -> int3: {A}{b}; int3 & fact7 -> hypothesis;"
] | ãã®ã·ãã·ã¡ãLv.72ã¯æœããªãããã€ããã¯åãªããªã | (¬{II}{b} & ¬{D}{b}) | [
"fact14 -> int4: ãããããã®ã·ãã·ã¡ãLv.72ã¯æœãããã€äžŠã¹ç«ãŠãããšããããšã¯äºå®ãšç°ãªãã°æœããšããããšã¯ãªã; fact12 & fact11 -> int5: ãã®ãœã®ãœãLv.64ã¯ç²ãé£ããªã; int5 -> int6: ãšããã¢ã³ã¹ã¿ãŒã¯ç²ãé£ããªã; int6 & fact13 -> int7: ããã®ã·ãã·ã¡ãLv.72ã¯æœãã䞊ã¹ç«ãŠãããšããããšã¯ééãã§ãã; int4 & int7 -> int8: ãã®ã·ãã·ã¡ãLv.72ã¯æœããªã;"
] | 5 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãããã®Lv.18ãç±ã
ããªãããã€ããã¯åã¡æããªããšãããããã®ã·ãã·ã¡ãLv.72ã¯äžŠã¹ç«ãŠãªãããšããããšã¯åœã§ãã fact2: ããããã®ãããã®Lv.18ãåãªããšãããšãã®ãããã®Lv.18ã¯ç±ã
ããªããããã«ããã¯åã¡æããšããããšã¯ãªã fact3: ããä»®ã«ãã®ã·ãã·ã¡ãLv.72ã䞊ã¹ç«ãŠããªãããã¯èãã fact4: ããã®ãœã®ãœãLv.64ã¯éé»ããšããããšã¯ãªãäžæ¹ã§çã ããããšããããšã¯ééãã§ãã fact5: ããä»®ã«ããã®ãœã®ãœãLv.64ã¯éé»ããªãããããçã ããããšããããšã¯èª€ãã§ãããšãããç²ãé£ããšããããšã¯ãªã fact6: ãã®ãããã®Lv.18ã¯åãªã fact7: ãã®ã·ãã·ã¡ãLv.72ãèãããšãããšããã¯ç²ãé£ã fact8: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯æœããããã¯äžŠã¹ç«ãŠãããšããããšã¯æãç«ããªããšãããããã¯æœããªã fact9: ããç²ãé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ãããªãããã®ã·ãã·ã¡ãLv.72ã¯æœããæŽã«äžŠã¹ç«ãŠãããšããããšã¯åœã fact10: ããä»®ã«ãã®ãœã®ãœãLv.64ã¯èãããªãããã®ãããã®Lv.18ã¯ç²ãé£ãäžæ¹ã§äžŠã¹ç«ãŠãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.72ã¯ç²ãé£ããªã ; $proof$ = | fact2 & fact6 -> int1: ãã®ãããã®Lv.18ã¯ç±ã
ããªããå ããŠåã¡æããªã; fact1 & int1 -> int2: ãã®ã·ãã·ã¡ãLv.72ã¯äžŠã¹ç«ãŠã; int2 & fact3 -> int3: ãã®ã·ãã·ã¡ãLv.72ã¯èãã; int3 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {D}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact3: {B}{b} -> {A}{b} fact4: ¬(¬{E}{c} & {F}{c}) fact5: ¬(¬{E}{c} & {F}{c}) -> ¬{C}{c} fact6: {D}{a} fact7: {A}{b} -> {C}{b} fact8: (x): ¬({II}x & {B}x) -> ¬{II}x fact9: (x): ¬{C}x -> ¬({II}{b} & {B}{b}) fact10: {A}{c} -> ¬({C}{a} & ¬{B}{a}) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact2 & fact6 -> int1: (¬{AA}{a} & ¬{AB}{a}); fact1 & int1 -> int2: {B}{b}; int2 & fact3 -> int3: {A}{b}; int3 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœããœã«ãLv.62ã¯éè¿ããªããŠããŸãã«èª€è§£ããæããšããããšã¯ãªãããšããããšã¯åã | ¬(¬{B}{b} & ¬{C}{b}) | fact1: ããä»®ã«ãã®ã·ãã·ãLv.77ã幌ããšããããšã¯ãªãããããã¯ãããåŒãæ£ãããšããããã®ãœããœã«ãLv.62ã¯éè¿ããªã fact2: ãããã®ãœããœã«ãLv.62ãéè¿ããšããããšã¯ãªããšããã°ããã¯éè¿ããšããããšã¯ãªãã誀解ããæããªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.77ãéããšããããšã¯ãªããªãã°ãã®ã·ãã·ãLv.77ã¯å¹ŒããªããåŒãæ£ããããŸãã¯ã©ã¡ããã fact4: ãã®ããããLv.18ã¯åŸ¡äœ¿ãäžãããªãäžæ¹ã§éã | fact1: (¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact2: ¬{B}{b} -> (¬{B}{b} & ¬{C}{b}) fact3: ¬{A}{a} -> (¬{AA}{a} v {AB}{a}) fact4: (¬{D}{c} & {A}{c}) | [] | [] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ã·ãã·ãLv.77ã幌ããšããããšã¯ãªãããããã¯ãããåŒãæ£ãããšããããã®ãœããœã«ãLv.62ã¯éè¿ããªã fact2: ãããã®ãœããœã«ãLv.62ãéè¿ããšããããšã¯ãªããšããã°ããã¯éè¿ããšããããšã¯ãªãã誀解ããæããªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.77ãéããšããããšã¯ãªããªãã°ãã®ã·ãã·ãLv.77ã¯å¹ŒããªããåŒãæ£ããããŸãã¯ã©ã¡ããã fact4: ãã®ããããLv.18ã¯åŸ¡äœ¿ãäžãããªãäžæ¹ã§éã ; $hypothesis$ = ããã®ãœããœã«ãLv.62ã¯éè¿ããªããŠããŸãã«èª€è§£ããæããšããããšã¯ãªãããšããããšã¯åã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact2: ¬{B}{b} -> (¬{B}{b} & ¬{C}{b}) fact3: ¬{A}{a} -> (¬{AA}{a} v {AB}{a}) fact4: (¬{D}{c} & {A}{c}) ; $hypothesis$ = ¬(¬{B}{b} & ¬{C}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãå³ããšããããšãçãããã¿ã®ã¿ã¡ãLv.10äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã | ¬({C} & {B}) | fact1: ä»®ã«ãèããé£ããšããããšã¯èµ·ããªãããšããããšã¯ç¢ºãã ãšãããšãå³ããšããããšãšã¿ã®ã¿ã¡ãLv.10äºä»¶äž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact2: ãããçªã£èµ°ãããšã§ã¯ãªããŽããŽã«ãLv.3äºä»¶ãèµ·ãããšããã°èããé£ããšããããšã¯çããªã fact3: èšãèŸããšããããšãèµ·ãã fact4: å³ããšããããšãçºçãã fact5: ããã€ãã£ãããããšããããšã¯çããªãããšããããšã¯èããé£ããšããããšã¯çºçããªããšããããšã«é»æ¢ããã fact6: èããé£ããšããããšã¯ã¿ã®ã¿ã¡ãLv.10äºä»¶ã¯çºçããªããšããããšãé»æ¢ãã fact7: ããœããœãLv.0äºä»¶ãçºçããããšããããšã¯ãçªã£èµ°ãããšãçããªãäžæ¹ã§ãŽããŽã«ãLv.3äºä»¶ã¯çºçããããšããããšã®ãã£ãããšãªã | fact1: ¬{A} -> ¬({C} & {B}) fact2: (¬{E} & {D}) -> ¬{A} fact3: {GC} fact4: {C} fact5: ¬{A} -> {AU} fact6: {A} -> {B} fact7: {F} -> (¬{E} & {D}) | [] | [] | ãå³ããšããããšãçãããã¿ã®ã¿ã¡ãLv.10äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã | ¬({C} & {B}) | [] | 8 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãèããé£ããšããããšã¯èµ·ããªãããšããããšã¯ç¢ºãã ãšãããšãå³ããšããããšãšã¿ã®ã¿ã¡ãLv.10äºä»¶äž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact2: ãããçªã£èµ°ãããšã§ã¯ãªããŽããŽã«ãLv.3äºä»¶ãèµ·ãããšããã°èããé£ããšããããšã¯çããªã fact3: èšãèŸããšããããšãèµ·ãã fact4: å³ããšããããšãçºçãã fact5: ããã€ãã£ãããããšããããšã¯çããªãããšããããšã¯èããé£ããšããããšã¯çºçããªããšããããšã«é»æ¢ããã fact6: èããé£ããšããããšã¯ã¿ã®ã¿ã¡ãLv.10äºä»¶ã¯çºçããªããšããããšãé»æ¢ãã fact7: ããœããœãLv.0äºä»¶ãçºçããããšããããšã¯ãçªã£èµ°ãããšãçããªãäžæ¹ã§ãŽããŽã«ãLv.3äºä»¶ã¯çºçããããšããããšã®ãã£ãããšãªã ; $hypothesis$ = ãå³ããšããããšãçãããã¿ã®ã¿ã¡ãLv.10äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} -> ¬({C} & {B}) fact2: (¬{E} & {D}) -> ¬{A} fact3: {GC} fact4: {C} fact5: ¬{A} -> {AU} fact6: {A} -> {B} fact7: {F} -> (¬{E} & {D}) ; $hypothesis$ = ¬({C} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | é¥ãæããšããããšã¯çºçããªã | ¬{AA} | fact1: äºæž¬ãé£ããšããããšã¯èµ·ããªã fact2: ã¿ãã¿ã¡ãLv.97äºä»¶ãèµ·ããããããã¡ãLv.0äºä»¶ã¯èµ·ãããªã fact3: ããŽã®ãŽãLv.34äºä»¶ãçºçããããšããããšã¯ç¢ºãã fact4: ãããã·ã¡ãã·ã«ã
Lv.26äºä»¶ãšé¥ãæããšããããšãèµ·ããããšããããšã¯æãç«ããªããšãããšé¥ãæããšããããšã¯çºçããªã | fact1: ¬{AP} fact2: ({JG} & ¬{GM}) fact3: {EF} fact4: ¬({A} & {AA}) -> ¬{AA} | [] | [] | é¥ãæããšããããšã¯çºçããªã | ¬{AA} | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äºæž¬ãé£ããšããããšã¯èµ·ããªã fact2: ã¿ãã¿ã¡ãLv.97äºä»¶ãèµ·ããããããã¡ãLv.0äºä»¶ã¯èµ·ãããªã fact3: ããŽã®ãŽãLv.34äºä»¶ãçºçããããšããããšã¯ç¢ºãã fact4: ãããã·ã¡ãã·ã«ã
Lv.26äºä»¶ãšé¥ãæããšããããšãèµ·ããããšããããšã¯æãç«ããªããšãããšé¥ãæããšããããšã¯çºçããªã ; $hypothesis$ = é¥ãæããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{AP} fact2: ({JG} & ¬{GM}) fact3: {EF} fact4: ¬({A} & {AA}) -> ¬{AA} ; $hypothesis$ = ¬{AA} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸãªLv.13ã¯èŸããªã | ¬{H}{b} | fact1: ããã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ãããšããããšã¯äºå®ã§ãããšãããããã¯æ°é«ã fact2: ãããããã®ãŸããŸãªLv.13ã¯æºéç¡ããªããããã¯æ°é«ããšããããšã¯ãªãããšããããšã¯åã ããšããããšã¯æãç«ã€ãªããã®ãŸããŸãªLv.13ã¯ãããç¡ã fact3: ããä»®ã«ããã®ãŸããŸãªLv.13ã¯åãæããªãããšããããšã¯æ¬åœã§ãããšãããããã®ãŸããŸãªLv.13ã¯æºéç¡ããªãããã®äžæ°é«ããšããããšã¯ãªãããšããããšã¯åã§ãã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããšãããããã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ããŠãã€æ¢ã¿é£ãããšããããšã¯ç¢ºãã fact5: ãã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ããæ¢ã¿é£ããªãã°ããã®ãŸããŸãªLv.13ã¯åãæããªãããšããããšã¯çå®ã§ãã fact6: ãšããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ã | fact1: {B}{a} -> {F}{a} fact2: ¬(¬{E}{b} & ¬{F}{b}) -> {G}{b} fact3: ¬{D}{b} -> ¬(¬{E}{b} & ¬{F}{b}) fact4: (x): {A}x -> ({B}{a} & {C}{a}) fact5: ({B}{a} & {C}{a}) -> ¬{D}{b} fact6: (Ex): {A}x | [
"fact6 & fact4 -> int1: ãã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ããŠãŸãæ¢ã¿é£ã; int1 & fact5 -> int2: ãã®ãŸããŸãªLv.13ã¯åãæããªã; int2 & fact3 -> int3: ããã®ãŸããŸãªLv.13ã¯æºéç¡ããšããããšã¯ãªããŠå ããŠæ°é«ããªãããšããããšã¯åœã§ãã; int3 & fact2 -> int4: ãã®ãŸããŸãªLv.13ã¯ãããç¡ã;"
] | [
"fact6 & fact4 -> int1: ({B}{a} & {C}{a}); int1 & fact5 -> int2: ¬{D}{b}; int2 & fact3 -> int3: ¬(¬{E}{b} & ¬{F}{b}); int3 & fact2 -> int4: {G}{b};"
] | null | null | [] | null | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ãããšããããšã¯äºå®ã§ãããšãããããã¯æ°é«ã fact2: ãããããã®ãŸããŸãªLv.13ã¯æºéç¡ããªããããã¯æ°é«ããšããããšã¯ãªãããšããããšã¯åã ããšããããšã¯æãç«ã€ãªããã®ãŸããŸãªLv.13ã¯ãããç¡ã fact3: ããä»®ã«ããã®ãŸããŸãªLv.13ã¯åãæããªãããšããããšã¯æ¬åœã§ãããšãããããã®ãŸããŸãªLv.13ã¯æºéç¡ããªãããã®äžæ°é«ããšããããšã¯ãªãããšããããšã¯åã§ãã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ããšãããããã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ããŠãã€æ¢ã¿é£ãããšããããšã¯ç¢ºãã fact5: ãã®ãŸããŸã¡ãLv.85ã¯è©®ç¡ããæ¢ã¿é£ããªãã°ããã®ãŸããŸãªLv.13ã¯åãæããªãããšããããšã¯çå®ã§ãã fact6: ãšããã¢ã³ã¹ã¿ãŒã¯ç«ãŠé£ã ; $hypothesis$ = ãã®ãŸããŸãªLv.13ã¯èŸããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {F}{a} fact2: ¬(¬{E}{b} & ¬{F}{b}) -> {G}{b} fact3: ¬{D}{b} -> ¬(¬{E}{b} & ¬{F}{b}) fact4: (x): {A}x -> ({B}{a} & {C}{a}) fact5: ({B}{a} & {C}{a}) -> ¬{D}{b} fact6: (Ex): {A}x ; $hypothesis$ = ¬{H}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èŠãé£ã | {C}{a} | fact1: ä»®ã«ãã®ãœããœãLv.57ã匷ããªããšããããã®ã·ã¡ãã·ã«ã
Lv.42ã¯å³ããªããã©çŒãåºã fact2: ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯é£æ³ãæã fact3: ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èã fact4: ããããã®ã·ã¡ãã·ã«ã
Lv.42ãå³ããªããšããããã®ã·ã¡ãã·ã«ã
Lv.42ã¯èããŠããŸãã«é£æ³ãæã fact5: ããä»®ã«ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èããŠé£æ³ãæããšããããããã¯èŠãé£ããªãããšããããšã¯çå®ã§ãã | fact1: ¬{F}{c} -> (¬{D}{b} & {E}{b}) fact2: {B}{a} fact3: {A}{a} fact4: ¬{D}{b} -> ({A}{b} & {B}{b}) fact5: ({A}{a} & {B}{a}) -> ¬{C}{a} | [
"fact3 & fact2 -> int1: ããã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èããããã¯é£æ³ãæãããšããããšã¯æãç«ã€; int1 & fact5 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èŠãé£ã | {C}{a} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœããœãLv.57ã匷ããªããšããããã®ã·ã¡ãã·ã«ã
Lv.42ã¯å³ããªããã©çŒãåºã fact2: ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯é£æ³ãæã fact3: ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èã fact4: ããããã®ã·ã¡ãã·ã«ã
Lv.42ãå³ããªããšããããã®ã·ã¡ãã·ã«ã
Lv.42ã¯èããŠããŸãã«é£æ³ãæã fact5: ããä»®ã«ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èããŠé£æ³ãæããšããããããã¯èŠãé£ããªãããšããããšã¯çå®ã§ãã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èŠãé£ã ; $proof$ = | fact3 & fact2 -> int1: ããã®ã¿ã¡ãã¿ã¡ã
Lv.62ã¯èããããã¯é£æ³ãæãããšããããšã¯æãç«ã€; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{F}{c} -> (¬{D}{b} & {E}{b}) fact2: {B}{a} fact3: {A}{a} fact4: ¬{D}{b} -> ({A}{b} & {B}{b}) fact5: ({A}{a} & {B}{a}) -> ¬{C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | fact3 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.24ã¯å¿å°è¯ããªãããã©ããã¯åŸ¡åã | (¬{F}{c} & {E}{c}) | fact1: ããããã®ãŸã¡ããŸã®Lv.47ãçãããŸãããåããé£ããªããªãã°ãã®ã·ã«ã·ã«Lv.66ã¯åããé£ã fact2: ãã®ãœããœã«ãLv.98ã¯é£²ã¿ç¶ãããšãããããã®ãŽããŽãLv.24ã¯å¿å°è¯ããªããããã¯åŸ¡åãããšããããšã¯æ¬åœã fact3: ããä»®ã«ãã®ãœããœã«ãLv.98ã¯çãããŸããäžæ¹ã§çãæ®ããªããšããã°ã飲ã¿ç¶ããããšããããšã¯ééã£ãŠããªã fact4: åããé£ãã¢ã³ã¹ã¿ãŒã¯åŸ¡åããä¿¡ãæããªã fact5: ãã®ãŸã¡ããŸã®Lv.47ã¯åããé£ããŠãŸãçãããŸãã | fact1: ({B}{a} & ¬{A}{a}) -> {A}{ec} fact2: {D}{b} -> (¬{F}{c} & {E}{c}) fact3: ({B}{b} & ¬{C}{b}) -> {D}{b} fact4: (x): {A}x -> ({E}x & ¬{JD}x) fact5: ({A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ãŸã¡ããŸã®Lv.47ã¯çãããŸãã;"
] | [
"fact5 -> int1: {B}{a};"
] | ãã®ã·ã«ã·ã«Lv.66ã¯åŸ¡åããããã¯ä¿¡ãæããšããããšã¯ãªã | ({E}{ec} & ¬{JD}{ec}) | [
"fact6 -> int2: ãããããã®ã·ã«ã·ã«Lv.66ã¯åããé£ãããšããããšã¯æ¬åœã§ãããšãããšãã®ã·ã«ã·ã«Lv.66ã¯åŸ¡åããã©ããã¯ä¿¡ãæããªã;"
] | 6 | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŸã¡ããŸã®Lv.47ãçãããŸãããåããé£ããªããªãã°ãã®ã·ã«ã·ã«Lv.66ã¯åããé£ã fact2: ãã®ãœããœã«ãLv.98ã¯é£²ã¿ç¶ãããšãããããã®ãŽããŽãLv.24ã¯å¿å°è¯ããªããããã¯åŸ¡åãããšããããšã¯æ¬åœã fact3: ããä»®ã«ãã®ãœããœã«ãLv.98ã¯çãããŸããäžæ¹ã§çãæ®ããªããšããã°ã飲ã¿ç¶ããããšããããšã¯ééã£ãŠããªã fact4: åããé£ãã¢ã³ã¹ã¿ãŒã¯åŸ¡åããä¿¡ãæããªã fact5: ãã®ãŸã¡ããŸã®Lv.47ã¯åããé£ããŠãŸãçãããŸãã ; $hypothesis$ = ãã®ãŽããŽãLv.24ã¯å¿å°è¯ããªãããã©ããã¯åŸ¡åã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({B}{a} & ¬{A}{a}) -> {A}{ec} fact2: {D}{b} -> (¬{F}{c} & {E}{c}) fact3: ({B}{b} & ¬{C}{b}) -> {D}{b} fact4: (x): {A}x -> ({E}x & ¬{JD}x) fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = (¬{F}{c} & {E}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ã«ãã·ã¡ãLv.28ã¯èª¿åãé£ããªããç¯ãæãããšããããšã¯èª€ã£ãŠãã | ¬(¬{E}{a} & {D}{a}) | fact1: å¯æãããã¢ã³ã¹ã¿ãŒã¯è²ã¡é£ããªããæãããªã fact2: ããã®ã·ã«ãã·ã¡ãLv.28ã¯æãããªããææ
šæ·±ãããšããããšã¯æãç«ããªããšããã°ããã¯æãã fact3: ããã®ã·ã«ãã·ã¡ãLv.28ã¯æãããªãããã©ããã¯ææ
šæ·±ãããšããããšã¯èª€ã£ãŠãã fact4: ãããã®ã·ã«ãã·ã¡ãLv.28ã¯å¯æãããããŸãã¯æãããšãããè²ã¡é£ããšããããšã¯ãªã | fact1: (x): {A}x -> (¬{C}x & ¬{B}x) fact2: ¬(¬{B}{a} & {F}{a}) -> {B}{a} fact3: ¬(¬{B}{a} & {F}{a}) fact4: ({A}{a} v {B}{a}) -> ¬{C}{a} | [
"fact2 & fact3 -> int1: ããã®ã·ã«ãã·ã¡ãLv.28ã¯æããããšããããšã¯æ¬åœã ; int1 -> int2: ãã®ã·ã«ãã·ã¡ãLv.28ã¯å¯æããããããã¯æãããäž¡æ¹ãšãã§ãã; int2 & fact4 -> int3: ãã®ã·ã«ãã·ã¡ãLv.28ã¯è²ã¡é£ããªã;"
] | [
"fact2 & fact3 -> int1: {B}{a}; int1 -> int2: ({A}{a} v {B}{a}); int2 & fact4 -> int3: ¬{C}{a};"
] | ãã®ãœãªãœã«ã
Lv.2ã¯æãããªã | ¬{B}{il} | [
"fact5 -> int4: ããä»®ã«ããã®ã·ã«ãã·ã¡ãLv.28ã¯å¯æãããããšããããšã¯çå®ã ãšããã°ãã®ã·ã«ãã·ã¡ãLv.28ã¯è²ã¡é£ããªããããã«æãããªã;"
] | 5 | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: å¯æãããã¢ã³ã¹ã¿ãŒã¯è²ã¡é£ããªããæãããªã fact2: ããã®ã·ã«ãã·ã¡ãLv.28ã¯æãããªããææ
šæ·±ãããšããããšã¯æãç«ããªããšããã°ããã¯æãã fact3: ããã®ã·ã«ãã·ã¡ãLv.28ã¯æãããªãããã©ããã¯ææ
šæ·±ãããšããããšã¯èª€ã£ãŠãã fact4: ãããã®ã·ã«ãã·ã¡ãLv.28ã¯å¯æãããããŸãã¯æãããšãããè²ã¡é£ããšããããšã¯ãªã ; $hypothesis$ = ããã®ã·ã«ãã·ã¡ãLv.28ã¯èª¿åãé£ããªããç¯ãæãããšããããšã¯èª€ã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {A}x -> (¬{C}x & ¬{B}x) fact2: ¬(¬{B}{a} & {F}{a}) -> {B}{a} fact3: ¬(¬{B}{a} & {F}{a}) fact4: ({A}{a} v {B}{a}) -> ¬{C}{a} ; $hypothesis$ = ¬(¬{E}{a} & {D}{a}) ; $proof$ = | __UNKNOWN__ |