version
stringclasses 1
value | hypothesis
stringlengths 9
92
| hypothesis_formula
stringlengths 3
35
| facts
stringlengths 0
630
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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 | ãã®ã¿ãã¿ã¡ãLv.86ã¯å±ã | {D}{b} | fact1: ããä»®ã«ãã®ãŸããŸã®Lv.9ãç ããããããã¯ããã¯ããã€ãããããäž¡æ¹ãšãã§ãããšãããããã¯èŠã
ãããªã fact2: ããä»®ã«ããã®ãŸããŸã®Lv.9ã¯æ ãããããã¯ããã¯èŠã
ããããããã¯ã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªããªããã®ã¿ãã¿ã¡ãLv.86ã¯å±ããªã fact3: ä»®ã«ããã®ãŸããŸã®Lv.9ã¯ããã€ãããããªãäžæ¹ã§èŠã
ããããšããããšã¯ééãã§ãããªãã°ããã®ãŽã«ãŽã¡ã
Lv.41ã¯èŠã
ãããšããããšã¯ãªãããšããããšã¯æ£ãã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯ç ãããªããããã€ãããããªããã©èŠã
ããããšããããšã¯ééãã fact5: ãã®ãŸããŸã®Lv.9ã¯ããã€ãããã fact6: ããããã®ãŸããŸã®Lv.9ã¯èŠã
ãããšããããšã¯ãªããªããæ ãããããã¯èŠã
ããããããã¯äž¡æ¹ã ããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ¬({E}{a} v {C}{a}) -> ¬{D}{b} fact3: ¬(¬{B}{a} & {C}{a}) -> ¬{C}{gj} fact4: (x): {A}x -> ¬(¬{B}x & {C}x) fact5: {B}{a} fact6: ¬{C}{a} -> ¬({E}{a} v {C}{a}) | [
"fact5 -> int1: ãã®ãŸããŸã®Lv.9ã¯ç ããããããã¯ããã€ãããããã©ã¡ããã§ãã; int1 & fact1 -> int2: ãã®ãŸããŸã®Lv.9ã¯èŠã
ãããªã; int2 & fact6 -> int3: ããã®ãŸããŸã®Lv.9ã¯æ ãããããã¯èŠã
ããããŸãã¯äž¡æ¹ã ããšããããšã¯ééã£ãŠãã; int3 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{a}; int2 & fact6 -> int3: ¬({E}{a} v {C}{a}); int3 & fact2 -> hypothesis;"
] | ãã®ãŽã«ãŽã¡ã
Lv.41ã¯èŠã
ãããªã | ¬{C}{gj} | [
"fact7 -> int4: ä»®ã«ãã®ãŸããŸã®Lv.9ã¯ç ãããªãã°ããã®ãŸããŸã®Lv.9ã¯ããã€ãããããªããã©ããã¯èŠã
ããããšããããšã¯æãç«ããªã;"
] | 5 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŸããŸã®Lv.9ãç ããããããã¯ããã¯ããã€ãããããäž¡æ¹ãšãã§ãããšãããããã¯èŠã
ãããªã fact2: ããä»®ã«ããã®ãŸããŸã®Lv.9ã¯æ ãããããã¯ããã¯èŠã
ããããããã¯ã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªããªããã®ã¿ãã¿ã¡ãLv.86ã¯å±ããªã fact3: ä»®ã«ããã®ãŸããŸã®Lv.9ã¯ããã€ãããããªãäžæ¹ã§èŠã
ããããšããããšã¯ééãã§ãããªãã°ããã®ãŽã«ãŽã¡ã
Lv.41ã¯èŠã
ãããšããããšã¯ãªãããšããããšã¯æ£ãã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯ç ãããªããããã€ãããããªããã©èŠã
ããããšããããšã¯ééãã fact5: ãã®ãŸããŸã®Lv.9ã¯ããã€ãããã fact6: ããããã®ãŸããŸã®Lv.9ã¯èŠã
ãããšããããšã¯ãªããªããæ ãããããã¯èŠã
ããããããã¯äž¡æ¹ã ããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.86ã¯å±ã ; $proof$ = | fact5 -> int1: ãã®ãŸããŸã®Lv.9ã¯ç ããããããã¯ããã€ãããããã©ã¡ããã§ãã; int1 & fact1 -> int2: ãã®ãŸããŸã®Lv.9ã¯èŠã
ãããªã; int2 & fact6 -> int3: ããã®ãŸããŸã®Lv.9ã¯æ ãããããã¯èŠã
ããããŸãã¯äž¡æ¹ã ããšããããšã¯ééã£ãŠãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ¬({E}{a} v {C}{a}) -> ¬{D}{b} fact3: ¬(¬{B}{a} & {C}{a}) -> ¬{C}{gj} fact4: (x): {A}x -> ¬(¬{B}x & {C}x) fact5: {B}{a} fact6: ¬{C}{a} -> ¬({E}{a} v {C}{a}) ; $hypothesis$ = {D}{b} ; $proof$ = | fact5 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{a}; int2 & fact6 -> int3: ¬({E}{a} v {C}{a}); int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãªã¿ãLv.1ã¯æœåšããªã | ¬{A}{aa} | fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯æ»ã«åããªããšããããããã¯æœåšããªããŠããã¯çµéãããªãããšããããšã¯èª€ã£ãŠãã fact2: ä»®ã«ããã®ãŽã«ããŽã¡ãLv.76ã¯æŠãéããªãããšããããšã¯æãç«ã€ãšãããšããã®ãŽã«ããŽã¡ãLv.76ã¯åãŒã£ãããŠãŸãçæããããšããããšã¯åœã§ãã fact3: ãã®ã¿ãªã¿ãLv.1ã¯æ»ã«åãã fact4: ä»®ã«ããã®ãŽã«ããŽã¡ãLv.76ã¯æœåšããªããŠããŸãã«çµéãããªãããšããããšã¯åœã§ãããªãããã®ãŽã«ã
ãŽãLv.12ã¯æœåšããªãããšããããšã¯æãç«ã€ fact5: ããä»®ã«ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãŒã£ããããã€çæããããšããããšã¯æãç«ã€ããšããããšã¯çå®ã§ãªããšãããšæ»ã«åããªã | fact1: (x): ¬{C}x -> ¬(¬{A}x & ¬{B}x) fact2: ¬{F}{a} -> ¬({D}{a} & {E}{a}) fact3: {C}{aa} fact4: ¬(¬{A}{a} & ¬{B}{a}) -> ¬{A}{ic} fact5: (x): ¬({D}x & {E}x) -> ¬{C}x | [] | [] | ããã®ãŽã«ã
ãŽãLv.12ã¯æœåšããªãããšããããšã¯çå®ã§ãã | ¬{A}{ic} | [
"fact6 -> int1: ä»®ã«ãã®ãŽã«ããŽã¡ãLv.76ã¯æ»ã«åããªããªãããã®ãŽã«ããŽã¡ãLv.76ã¯æœåšããªããããã«çµéãããªãããšããããšã¯æãç«ããªã; fact8 -> int2: ããã®ãŽã«ããŽã¡ãLv.76ã¯åãŒã£ãããŠããã¯çæããããšããããšã¯æãç«ããªããªãã°ãã®ãŽã«ããŽã¡ãLv.76ã¯æ»ã«åããªã;"
] | 7 | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯æ»ã«åããªããšããããããã¯æœåšããªããŠããã¯çµéãããªãããšããããšã¯èª€ã£ãŠãã fact2: ä»®ã«ããã®ãŽã«ããŽã¡ãLv.76ã¯æŠãéããªãããšããããšã¯æãç«ã€ãšãããšããã®ãŽã«ããŽã¡ãLv.76ã¯åãŒã£ãããŠãŸãçæããããšããããšã¯åœã§ãã fact3: ãã®ã¿ãªã¿ãLv.1ã¯æ»ã«åãã fact4: ä»®ã«ããã®ãŽã«ããŽã¡ãLv.76ã¯æœåšããªããŠããŸãã«çµéãããªãããšããããšã¯åœã§ãããªãããã®ãŽã«ã
ãŽãLv.12ã¯æœåšããªãããšããããšã¯æãç«ã€ fact5: ããä»®ã«ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãŒã£ããããã€çæããããšããããšã¯æãç«ã€ããšããããšã¯çå®ã§ãªããšãããšæ»ã«åããªã ; $hypothesis$ = ãã®ã¿ãªã¿ãLv.1ã¯æœåšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> ¬(¬{A}x & ¬{B}x) fact2: ¬{F}{a} -> ¬({D}{a} & {E}{a}) fact3: {C}{aa} fact4: ¬(¬{A}{a} & ¬{B}{a}) -> ¬{A}{ic} fact5: (x): ¬({D}x & {E}x) -> ¬{C}x ; $hypothesis$ = ¬{A}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœããªãããŸãã¯ããã¯éãæã | (¬{E}{d} v {G}{d}) | fact1: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.70ãå¯éãŸããããã«å
ãé£ããšããã°ãã®ãŸããŸãLv.92ã¯ããããŸãããªã fact2: ãããä»®ã«ãã®ã¿ã¡ãã¿ã®Lv.14ãåè«ã£ãœããªããªãã°ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœãããŸãã¯éãæãããšããããšã¯æãç«ã€ fact3: ããããã®ãŸããŸãLv.92ãéœä»°ãããããããããããããŸãããªããšãããšãã®ã¿ã¡ãã¿ã®Lv.14ã¯åè«ã£ãœããªã fact4: ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœããããã¯éãæãããããã¯äž¡æ¹ã fact5: ãã®ã¿ã«ãã¿ã¡ãLv.70ã¯å¯éãŸã fact6: ãã®ãŸããŸãLv.92ã¯éœä»°ãã fact7: ãã®ã¿ã«ãã¿ã¡ãLv.70ã¯å
ãé£ã fact8: ãã®ã¿ã¡ãã¿ã®Lv.14ãåè«ã£ãœããªããªãã°ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœããªãããããã¯ããã¯éãæããäž¡æ¹ã | fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: ¬{E}{c} -> ({E}{d} v {G}{d}) fact3: ({D}{b} & ¬{C}{b}) -> ¬{E}{c} fact4: ({E}{d} v {G}{d}) fact5: {A}{a} fact6: {D}{b} fact7: {B}{a} fact8: ¬{E}{c} -> (¬{E}{d} v {G}{d}) | [
"fact5 & fact7 -> int1: ãã®ã¿ã«ãã¿ã¡ãLv.70ã¯å¯éãŸããå
ãé£ã; int1 & fact1 -> int2: ãã®ãŸããŸãLv.92ã¯ããããŸãããªã; int2 & fact6 -> int3: ãã®ãŸããŸãLv.92ã¯éœä»°ãããããããŸãããªã; int3 & fact3 -> int4: ããã®ã¿ã¡ãã¿ã®Lv.14ã¯åè«ã£ãœããªãããšããããšã¯ç¢ºãã ; int4 & fact8 -> hypothesis;"
] | [
"fact5 & fact7 -> int1: ({A}{a} & {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact6 -> int3: ({D}{b} & ¬{C}{b}); int3 & fact3 -> int4: ¬{E}{c}; int4 & fact8 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.70ãå¯éãŸããããã«å
ãé£ããšããã°ãã®ãŸããŸãLv.92ã¯ããããŸãããªã fact2: ãããä»®ã«ãã®ã¿ã¡ãã¿ã®Lv.14ãåè«ã£ãœããªããªãã°ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœãããŸãã¯éãæãããšããããšã¯æãç«ã€ fact3: ããããã®ãŸããŸãLv.92ãéœä»°ãããããããããããããŸãããªããšãããšãã®ã¿ã¡ãã¿ã®Lv.14ã¯åè«ã£ãœããªã fact4: ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœããããã¯éãæãããããã¯äž¡æ¹ã fact5: ãã®ã¿ã«ãã¿ã¡ãLv.70ã¯å¯éãŸã fact6: ãã®ãŸããŸãLv.92ã¯éœä»°ãã fact7: ãã®ã¿ã«ãã¿ã¡ãLv.70ã¯å
ãé£ã fact8: ãã®ã¿ã¡ãã¿ã®Lv.14ãåè«ã£ãœããªããªãã°ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœããªãããããã¯ããã¯éãæããäž¡æ¹ã ; $hypothesis$ = ãã®ãŸãªãŸãªLv.62ã¯åè«ã£ãœããªãããŸãã¯ããã¯éãæã ; $proof$ = | fact5 & fact7 -> int1: ãã®ã¿ã«ãã¿ã¡ãLv.70ã¯å¯éãŸããå
ãé£ã; int1 & fact1 -> int2: ãã®ãŸããŸãLv.92ã¯ããããŸãããªã; int2 & fact6 -> int3: ãã®ãŸããŸãLv.92ã¯éœä»°ãããããããŸãããªã; int3 & fact3 -> int4: ããã®ã¿ã¡ãã¿ã®Lv.14ã¯åè«ã£ãœããªãããšããããšã¯ç¢ºãã ; int4 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: ¬{E}{c} -> ({E}{d} v {G}{d}) fact3: ({D}{b} & ¬{C}{b}) -> ¬{E}{c} fact4: ({E}{d} v {G}{d}) fact5: {A}{a} fact6: {D}{b} fact7: {B}{a} fact8: ¬{E}{c} -> (¬{E}{d} v {G}{d}) ; $hypothesis$ = (¬{E}{d} v {G}{d}) ; $proof$ = | fact5 & fact7 -> int1: ({A}{a} & {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact6 -> int3: ({D}{b} & ¬{C}{b}); int3 & fact3 -> int4: ¬{E}{c}; int4 & fact8 -> hypothesis; __PROVED__ |
0.3 | ãããããšããããšãçºçãã | {D} | fact1: ãæ³å®ãé£ããšããããšãèµ·ããããããã¯ãã«ãã«ãLv.16äºä»¶ãèµ·ããããããã¯äž¡æ¹ã§ããããšããããšã¯ããããããšããããšã¯çããªãããšããããšããããã fact2: éã
ãããšããããšãèµ·ããããããã¯ãšãããšããããšãèµ·ãã fact3: ä»®ã«èã
ãããšããããšã¯èµ·ãããªããšããã°å
ãé£ããšããããšãšãã«ãã«ãLv.16äºä»¶ãèµ·ãã fact4: æ©ãé£ããšããããšããã³ãŽããŽã«Lv.92äºä»¶ãèµ·ãã fact5: æœããšããããšãçãã fact6: ãã®ãã«ãLv.88äºä»¶ãèµ·ããããã®äžã·ãã·ã®Lv.67äºä»¶ãçºçãã fact7: 調ã¹æããšããããšããããã¯ç¡ããšããããšãèµ·ãããšãããçãããšããããšã¯èµ·ãããªã | fact1: ({C} v {B}) -> ¬{D} fact2: ({BJ} v {EK}) fact3: ¬{E} -> ({A} & {B}) fact4: ({DJ} & {EU}) fact5: {CM} fact6: ({EN} & {FM}) fact7: ({R} v {BC}) -> ¬{HF} | [] | [] | null | null | [] | null | 4 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãæ³å®ãé£ããšããããšãèµ·ããããããã¯ãã«ãã«ãLv.16äºä»¶ãèµ·ããããããã¯äž¡æ¹ã§ããããšããããšã¯ããããããšããããšã¯çããªãããšããããšããããã fact2: éã
ãããšããããšãèµ·ããããããã¯ãšãããšããããšãèµ·ãã fact3: ä»®ã«èã
ãããšããããšã¯èµ·ãããªããšããã°å
ãé£ããšããããšãšãã«ãã«ãLv.16äºä»¶ãèµ·ãã fact4: æ©ãé£ããšããããšããã³ãŽããŽã«Lv.92äºä»¶ãèµ·ãã fact5: æœããšããããšãçãã fact6: ãã®ãã«ãLv.88äºä»¶ãèµ·ããããã®äžã·ãã·ã®Lv.67äºä»¶ãçºçãã fact7: 調ã¹æããšããããšããããã¯ç¡ããšããããšãèµ·ãããšãããçãããšããããšã¯èµ·ãããªã ; $hypothesis$ = ãããããšããããšãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({C} v {B}) -> ¬{D} fact2: ({BJ} v {EK}) fact3: ¬{E} -> ({A} & {B}) fact4: ({DJ} & {EU}) fact5: {CM} fact6: ({EN} & {FM}) fact7: ({R} v {BC}) -> ¬{HF} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«Lv.10ã¯å¥¥åºãããšããããšã¯ãªãããŸãã¯å¬ãæããããªãããããã¯ã©ã¡ããã | (¬{C}{a} v ¬{B}{a}) | fact1: ããã®ãœããœãLv.0ã¯å¥¥åºãããšããããšã¯ãªãããŸãã¯ããã¯çŽ æŽããããªãããŸãã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãã fact2: ä»®ã«ããã®ãœããœãLv.0ã¯çŽ æŽãããããããä¹
ããªãããšããããšã¯åœãªãã°ãã®ãœããœãLv.0ã¯åºæ¥é£ããªã fact3: ããããã®ãœããœãLv.0ã¯çŽ æŽããããèŠã
ãããªãããšããããšã¯æãç«ããªããªããã®ãœããœãLv.0ã¯å¬ãæããããªã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æºãããªããªããšãããšãçŽ æŽããããŠãŸãããã¯èŠã
ãããšããããšã¯ãªãããšããããšã¯äºå®ã§ãããšããããšã¯ãªã fact5: ãããã®ãœããœãLv.0ã¯å¬ãæããããªããªãã°ããã®ã¿ãã¿ã«Lv.10ã¯å¥¥åºãããªãããŸãã¯å¬ãæããããªãããšããããšã¯äºå®ã§ãªã fact6: ãã®ãŽã¡ã
ãŽãLv.54ã¯å¥¥åºãããªã fact7: ãã®ãœããœãLv.0ã¯æºãããªããªã | fact1: ¬(¬{C}{aa} v ¬{AA}{aa}) fact2: ¬({AA}{aa} & ¬{BT}{aa}) -> ¬{EN}{aa} fact3: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact4: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact5: ¬{B}{aa} -> ¬(¬{C}{a} v ¬{B}{a}) fact6: ¬{C}{bc} fact7: ¬{A}{aa} | [
"fact4 -> int1: ããããã®ãœããœãLv.0ã¯æºãããªããªããªãã°ããã®ãœããœãLv.0ã¯çŽ æŽããããã©èŠã
ãããªãããšããããšã¯æãç«ããªã; int1 & fact7 -> int2: ãããã®ãœããœãLv.0ã¯çŽ æŽããããã©èŠã
ãããªãããšããããšã¯äºå®ã§ããããšããããšã¯åœã ; int2 & fact3 -> int3: ãã®ãœããœãLv.0ã¯å¬ãæããããªã; int3 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact7 -> int2: ¬({AA}{aa} & ¬{AB}{aa}); int2 & fact3 -> int3: ¬{B}{aa}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ãœããœãLv.0ã¯å¥¥åºãããšããããšã¯ãªãããŸãã¯ããã¯çŽ æŽããããªãããŸãã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãã fact2: ä»®ã«ããã®ãœããœãLv.0ã¯çŽ æŽãããããããä¹
ããªãããšããããšã¯åœãªãã°ãã®ãœããœãLv.0ã¯åºæ¥é£ããªã fact3: ããããã®ãœããœãLv.0ã¯çŽ æŽããããèŠã
ãããªãããšããããšã¯æãç«ããªããªããã®ãœããœãLv.0ã¯å¬ãæããããªã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æºãããªããªããšãããšãçŽ æŽããããŠãŸãããã¯èŠã
ãããšããããšã¯ãªãããšããããšã¯äºå®ã§ãããšããããšã¯ãªã fact5: ãããã®ãœããœãLv.0ã¯å¬ãæããããªããªãã°ããã®ã¿ãã¿ã«Lv.10ã¯å¥¥åºãããªãããŸãã¯å¬ãæããããªãããšããããšã¯äºå®ã§ãªã fact6: ãã®ãŽã¡ã
ãŽãLv.54ã¯å¥¥åºãããªã fact7: ãã®ãœããœãLv.0ã¯æºãããªããªã ; $hypothesis$ = ãã®ã¿ãã¿ã«Lv.10ã¯å¥¥åºãããšããããšã¯ãªãããŸãã¯å¬ãæããããªãããããã¯ã©ã¡ããã ; $proof$ = | fact4 -> int1: ããããã®ãœããœãLv.0ã¯æºãããªããªããªãã°ããã®ãœããœãLv.0ã¯çŽ æŽããããã©èŠã
ãããªãããšããããšã¯æãç«ããªã; int1 & fact7 -> int2: ãããã®ãœããœãLv.0ã¯çŽ æŽããããã©èŠã
ãããªãããšããããšã¯äºå®ã§ããããšããããšã¯åœã ; int2 & fact3 -> int3: ãã®ãœããœãLv.0ã¯å¬ãæããããªã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{C}{aa} v ¬{AA}{aa}) fact2: ¬({AA}{aa} & ¬{BT}{aa}) -> ¬{EN}{aa} fact3: ¬({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact4: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact5: ¬{B}{aa} -> ¬(¬{C}{a} v ¬{B}{a}) fact6: ¬{C}{bc} fact7: ¬{A}{aa} ; $hypothesis$ = (¬{C}{a} v ¬{B}{a}) ; $proof$ = | fact4 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact7 -> int2: ¬({AA}{aa} & ¬{AB}{aa}); int2 & fact3 -> int3: ¬{B}{aa}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœãªãœãLv.92ã¯é Œã¿é£ããšããããšã¯ãªã | ¬{A}{a} | fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯é Œã¿é£ããšãããã説ãèµ·ãããªããã©å®å µãé£ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããä»®ã«ãã®ãœãªãœãLv.92ããã§ãããšãããšãã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ã fact3: ãããããã®ãœãªãœãLv.92ã¯ãã§ãããªãããã©åœäžããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ã fact4: ããã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ããªãããšããããšã¯ç¢ºãã fact5: ããããã®ãœãªãœãLv.92ããã§ãããªãäžæ¹ã§ãããåœäžããã°ãã®ãœãªãœãLv.92ã¯é Œã¿é£ãããšããããšã¯æ£ãã fact6: ããã®ãœãªãœãLv.92ã¯ãã§ãããããã«åœäžããããšããããšã¯ééã£ãŠãã | fact1: (x): {A}x -> ¬(¬{ES}x & {B}x) fact2: {AA}{a} -> {B}{b} fact3: ¬(¬{AA}{a} & {AB}{a}) -> {B}{b} fact4: ¬{B}{b} fact5: (¬{AA}{a} & {AB}{a}) -> {A}{a} fact6: ¬({AA}{a} & {AB}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããããã®ãœãªãœãLv.92ã¯ãã§ãããªãäžæ¹ã§åœäžããããšããããšã¯åã§ããããšããããšã¯æ£ãã; fact3 & assump1 -> int1: ãã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãœãªãœãLv.92ã¯ãã§ãããªãäžæ¹ã§ããã¯åœäžãã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact3 & assump1 -> int1: {B}{b}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} & {AB}{a}); int3 & fact5 -> hypothesis;"
] | ããã®ãŽããŽãLv.1ã¯èª¬ãèµ·ãããªããã©å®å µãé£ãããšããããšã¯ééã£ãŠãã | ¬(¬{ES}{bm} & {B}{bm}) | [
"fact7 -> int4: ä»®ã«ãã®ãŽããŽãLv.1ã¯é Œã¿é£ããªããããã¯èª¬ãèµ·ãããªããŠå®å µãé£ãããšããããšã¯åœã ;"
] | 4 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯é Œã¿é£ããšãããã説ãèµ·ãããªããã©å®å µãé£ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããä»®ã«ãã®ãœãªãœãLv.92ããã§ãããšãããšãã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ã fact3: ãããããã®ãœãªãœãLv.92ã¯ãã§ãããªãããã©åœäžããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ã fact4: ããã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ããªãããšããããšã¯ç¢ºãã fact5: ããããã®ãœãªãœãLv.92ããã§ãããªãäžæ¹ã§ãããåœäžããã°ãã®ãœãªãœãLv.92ã¯é Œã¿é£ãããšããããšã¯æ£ãã fact6: ããã®ãœãªãœãLv.92ã¯ãã§ãããããã«åœäžããããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãã®ãœãªãœãLv.92ã¯é Œã¿é£ããšããããšã¯ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããããã®ãœãªãœãLv.92ã¯ãã§ãããªãäžæ¹ã§åœäžããããšããããšã¯åã§ããããšããããšã¯æ£ãã; fact3 & assump1 -> int1: ãã®ãŽã«ãŽã¡ã
Lv.2ã¯å®å µãé£ã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãœãªãœãLv.92ã¯ãã§ãããªãäžæ¹ã§ããã¯åœäžãã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> ¬(¬{ES}x & {B}x) fact2: {AA}{a} -> {B}{b} fact3: ¬(¬{AA}{a} & {AB}{a}) -> {B}{b} fact4: ¬{B}{b} fact5: (¬{AA}{a} & {AB}{a}) -> {A}{a} fact6: ¬({AA}{a} & {AB}{a}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact3 & assump1 -> int1: {B}{b}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} & {AB}{a}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.96ã¯å£ãæã | {F}{c} | fact1: ãããã®ã·ãã·ãªLv.93ãé»ã£ãœããããã¯äž»åŒµãåããšãããããã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯åããšããããšã¯ãªãããšããããšã¯çå®ã§ãã fact2: ãããã®ãŽããŽãLv.96ãè¡åè¯ããªããšãããè¡åè¯ããªããŠãã®äžå£ãæããªã fact3: ãã®ã·ã«ã
ã·ã¡ã
Lv.76ãåããªããªããã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯åããªãããã€çµ¶ãé£ããªã fact4: ããããã®ã·ã«ã
ã·ã¡ã
Lv.76ãè¡åè¯ããªããã®ãŽããŽãLv.96ã¯å£ãæã fact5: ãã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯æãã£ãœããããã¯å£ãæã fact6: ãããã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯åããªããããŸãã«çµ¶ãé£ããªããšããã°ããã¯è¡åè¯ã fact7: ãã®ã·ãã·ãªLv.93ã¯é»ã£ãœã | fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: ¬{D}{c} -> (¬{D}{c} & ¬{F}{c}) fact3: ¬{C}{b} -> (¬{C}{b} & ¬{E}{b}) fact4: {D}{b} -> {F}{c} fact5: ({AK}{b} & {F}{b}) fact6: (¬{C}{b} & ¬{E}{b}) -> {D}{b} fact7: {A}{a} | [] | [] | null | null | [] | null | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ã·ãã·ãªLv.93ãé»ã£ãœããããã¯äž»åŒµãåããšãããããã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯åããšããããšã¯ãªãããšããããšã¯çå®ã§ãã fact2: ãããã®ãŽããŽãLv.96ãè¡åè¯ããªããšãããè¡åè¯ããªããŠãã®äžå£ãæããªã fact3: ãã®ã·ã«ã
ã·ã¡ã
Lv.76ãåããªããªããã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯åããªãããã€çµ¶ãé£ããªã fact4: ããããã®ã·ã«ã
ã·ã¡ã
Lv.76ãè¡åè¯ããªããã®ãŽããŽãLv.96ã¯å£ãæã fact5: ãã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯æãã£ãœããããã¯å£ãæã fact6: ãããã®ã·ã«ã
ã·ã¡ã
Lv.76ã¯åããªããããŸãã«çµ¶ãé£ããªããšããã°ããã¯è¡åè¯ã fact7: ãã®ã·ãã·ãªLv.93ã¯é»ã£ãœã ; $hypothesis$ = ãã®ãŽããŽãLv.96ã¯å£ãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: ¬{D}{c} -> (¬{D}{c} & ¬{F}{c}) fact3: ¬{C}{b} -> (¬{C}{b} & ¬{E}{b}) fact4: {D}{b} -> {F}{c} fact5: ({AK}{b} & {F}{b}) fact6: (¬{C}{b} & ¬{E}{b}) -> {D}{b} fact7: {A}{a} ; $hypothesis$ = {F}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœããœã«ãLv.47ã¯ã«ãŒãåããªãããããã¯åºæ¥æãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã | ¬(¬{A}{a} v {C}{a}) | fact1: ãã®ãŽã¡ããŽã¡ã
Lv.27ã¯ããã£ã±ããªã | fact1: ¬{B}{b} | [] | [] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŽã¡ããŽã¡ã
Lv.27ã¯ããã£ã±ããªã ; $hypothesis$ = ããã®ãœããœã«ãLv.47ã¯ã«ãŒãåããªãããããã¯åºæ¥æãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{b} ; $hypothesis$ = ¬(¬{A}{a} v {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã¡ããã®Lv.38äºä»¶ãèµ·ããããšããããšã¯æ£ãã | {F} | fact1: èæãããšããããšãèµ·ãã fact2: ä»®ã«å£²ãé£ããšããããšã¯çºçããªããšãããšã売ãé£ããšããããšãèµ·ããããããã¯ãŽã¡ããŽã«Lv.43äºä»¶ãçããããããã¯ã©ã¡ããã§ããããšããããšã¯åœã§ãã fact3: ãã¡ããã®Lv.38äºä»¶ã¯ãèæãããšããããšã¯èµ·ããªãããšããããšã«åŒãèµ·ãããã fact4: ç©çããããšããããšãçºçãããªããããŽã¡ããŽã«Lv.43äºä»¶ã¯çºçããªããŠããã«å£²ãé£ããšããããšã¯çºçããªãããšããããšã¯åœã§ããããšããããšã¯æ£ãã fact5: ããä»®ã«ã売ãé£ããšããããšããããã¯ãŽã¡ããŽã«Lv.43äºä»¶ããããã¯ã©ã¡ãããèµ·ããããšããããšã¯äºå®ãšç°ãªããšãããšãã¡ããã®Lv.38äºä»¶ã¯èµ·ãããªã fact6: ãã·ãã·ãLv.21äºä»¶ã¯èµ·ãããªãããšããããšã¯èæãããšããããšã«é»ãŸãã fact7: ããç©çããããšããããšãçããã°ãã¡ããã®Lv.38äºä»¶ã¯èµ·ãããªãããã©åæããããšãèµ·ãã fact8: ã溶ãå
¥ããããšãèµ·ããããããã·ãã·ãLv.21äºä»¶ãçºçããããšããããšã¯ã売ãé£ããšããããšã¯çããªãããšããããšã®åå ãšãªã fact9: 溶ãå
¥ããããšãçºçãã fact10: ä»®ã«ã·ãã·ãLv.21äºä»¶ã¯èµ·ããªããªãã°ãèæãããšããããšãçããã溶ãå
¥ããããšã¯çããªãããšããããšã¯ééã£ãŠãã | fact1: {A} fact2: ¬{D} -> ¬({D} v {E}) fact3: ¬{A} -> {F} fact4: {G} -> ¬(¬{E} & ¬{D}) fact5: ¬({D} v {E}) -> ¬{F} fact6: {A} -> {B} fact7: {G} -> (¬{F} & {AD}) fact8: ({C} & {B}) -> ¬{D} fact9: {C} fact10: ¬{B} -> ¬({A} & ¬{C}) | [
"fact6 & fact1 -> int1: ã·ãã·ãLv.21äºä»¶ãçºçãã; int1 & fact9 -> int2: 溶ãå
¥ããããšãèµ·ãããã·ãã·ãLv.21äºä»¶ãçºçãã; int2 & fact8 -> int3: 売ãé£ããšããããšã¯çããªã; int3 & fact2 -> int4: ã売ãé£ããšããããšãçºçããããããã¯ãŽã¡ããŽã«Lv.43äºä»¶ãçããããããã¯äž¡æ¹ã§ããããšããããšã¯ééãã§ãã; int4 & fact5 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: {B}; int1 & fact9 -> int2: ({C} & {B}); int2 & fact8 -> int3: ¬{D}; int3 & fact2 -> int4: ¬({D} v {E}); int4 & fact5 -> hypothesis;"
] | ããã¡ããã®Lv.38äºä»¶ãèµ·ããããšããããšã¯æ£ãã | {F} | [] | 8 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: èæãããšããããšãèµ·ãã fact2: ä»®ã«å£²ãé£ããšããããšã¯çºçããªããšãããšã売ãé£ããšããããšãèµ·ããããããã¯ãŽã¡ããŽã«Lv.43äºä»¶ãçããããããã¯ã©ã¡ããã§ããããšããããšã¯åœã§ãã fact3: ãã¡ããã®Lv.38äºä»¶ã¯ãèæãããšããããšã¯èµ·ããªãããšããããšã«åŒãèµ·ãããã fact4: ç©çããããšããããšãçºçãããªããããŽã¡ããŽã«Lv.43äºä»¶ã¯çºçããªããŠããã«å£²ãé£ããšããããšã¯çºçããªãããšããããšã¯åœã§ããããšããããšã¯æ£ãã fact5: ããä»®ã«ã売ãé£ããšããããšããããã¯ãŽã¡ããŽã«Lv.43äºä»¶ããããã¯ã©ã¡ãããèµ·ããããšããããšã¯äºå®ãšç°ãªããšãããšãã¡ããã®Lv.38äºä»¶ã¯èµ·ãããªã fact6: ãã·ãã·ãLv.21äºä»¶ã¯èµ·ãããªãããšããããšã¯èæãããšããããšã«é»ãŸãã fact7: ããç©çããããšããããšãçããã°ãã¡ããã®Lv.38äºä»¶ã¯èµ·ãããªãããã©åæããããšãèµ·ãã fact8: ã溶ãå
¥ããããšãèµ·ããããããã·ãã·ãLv.21äºä»¶ãçºçããããšããããšã¯ã売ãé£ããšããããšã¯çããªãããšããããšã®åå ãšãªã fact9: 溶ãå
¥ããããšãçºçãã fact10: ä»®ã«ã·ãã·ãLv.21äºä»¶ã¯èµ·ããªããªãã°ãèæãããšããããšãçããã溶ãå
¥ããããšã¯çããªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ããã¡ããã®Lv.38äºä»¶ãèµ·ããããšããããšã¯æ£ãã ; $proof$ = | fact6 & fact1 -> int1: ã·ãã·ãLv.21äºä»¶ãçºçãã; int1 & fact9 -> int2: 溶ãå
¥ããããšãèµ·ãããã·ãã·ãLv.21äºä»¶ãçºçãã; int2 & fact8 -> int3: 売ãé£ããšããããšã¯çããªã; int3 & fact2 -> int4: ã売ãé£ããšããããšãçºçããããããã¯ãŽã¡ããŽã«Lv.43äºä»¶ãçããããããã¯äž¡æ¹ã§ããããšããããšã¯ééãã§ãã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ¬{D} -> ¬({D} v {E}) fact3: ¬{A} -> {F} fact4: {G} -> ¬(¬{E} & ¬{D}) fact5: ¬({D} v {E}) -> ¬{F} fact6: {A} -> {B} fact7: {G} -> (¬{F} & {AD}) fact8: ({C} & {B}) -> ¬{D} fact9: {C} fact10: ¬{B} -> ¬({A} & ¬{C}) ; $hypothesis$ = {F} ; $proof$ = | fact6 & fact1 -> int1: {B}; int1 & fact9 -> int2: ({C} & {B}); int2 & fact8 -> int3: ¬{D}; int3 & fact2 -> int4: ¬({D} v {E}); int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããªLv.18ã¯èªèŠåãããšããããšã¯ãªã | ¬{F}{d} | fact1: ä»®ã«ãã®ã¿ãã¿ã¡ãLv.23ãç¡ãããŸãã¯ãããã现ããªããã®ããããªLv.18ã¯èªèŠåããªã fact2: ããããã®ãŸããŸãLv.94ãå¿ åãããšãããšãã®ã¿ãã¿ã¡ãLv.23ã¯ã现ã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯å¿ åãããšããããšã¯ãªããšãããšãããã¯æžãæããŠåŒãæããªãããšããããšã¯æãç«ããªã fact4: ãããããã¢ã³ã¹ã¿ãŒã¯èŠãé£ããªãã°ãããã¯ã现ããã©ç¡ããªãããšããããšã¯èª€ãã§ãã fact5: ããããã®ãŸããŸãLv.94ã¯èªèŠåãããšãããšããã®ããããªLv.18ã¯å¿ åããããšããããšã¯äºå®ã fact6: ãããã¢ã³ã¹ã¿ãŒã¯ã现ãããããããã¯ç¡ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãå¿ åããªãããšããããšã¯æãç«ã€ fact7: ããä»®ã«ããã®ã¿ã¡ã
ã¿ãªLv.25ã¯åŒãæãããšããããšã¯æãç«ã€ãšãããæžãæã fact8: ããã®ã¿ã¡ã
ã¿ãªLv.25ã¯æžãæãããšããããšã¯äºå®ã§ãããšããã°ãã®ãŸããŸãLv.94ã¯å¿ åãã fact9: ããä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æžãæãããã©åŒãæããªãããšããããšã¯åœã§ãããªãã°ããã¯èªèŠåãã fact10: ãã®ã¿ã¡ã
ã¿ãªLv.25ã¯åŒãæã | fact1: ({E}{c} v {D}{c}) -> ¬{F}{d} fact2: {C}{b} -> {D}{c} fact3: (x): ¬{C}x -> ¬({B}x & ¬{A}x) fact4: (x): {G}x -> ¬({D}x & ¬{E}x) fact5: {F}{b} -> {C}{d} fact6: (x): ¬({D}x & ¬{E}x) -> ¬{C}x fact7: {A}{a} -> {B}{a} fact8: {B}{a} -> {C}{b} fact9: (x): ¬({B}x & ¬{A}x) -> {F}x fact10: {A}{a} | [
"fact7 & fact10 -> int1: ãã®ã¿ã¡ã
ã¿ãªLv.25ã¯æžãæã; int1 & fact8 -> int2: ãã®ãŸããŸãLv.94ã¯å¿ åãã; int2 & fact2 -> int3: ãã®ã¿ãã¿ã¡ãLv.23ã¯ã现ã; int3 -> int4: ãã®ã¿ãã¿ã¡ãLv.23ã¯ç¡ãããããã¯ã现ãããããã¯ã©ã¡ããã§ãã; int4 & fact1 -> hypothesis;"
] | [
"fact7 & fact10 -> int1: {B}{a}; int1 & fact8 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; int3 -> int4: ({E}{c} v {D}{c}); int4 & fact1 -> hypothesis;"
] | ãã®ããããªLv.18ã¯èªèŠåãã | {F}{d} | [
"fact11 -> int5: ãããããã®ããããªLv.18ã¯æžãæããåŒãæããªãããšããããšã¯åã ãšãããèªèŠåãã; fact12 -> int6: ãããã®ããããªLv.18ã¯å¿ åãããšããããšã¯ãªããšããã°ãæžãæããããã«åŒãæããªãããšããããšã¯èª€ã£ãŠãã; fact13 -> int7: ããã®ããããªLv.18ã¯ã现ãäžæ¹ã§ç¡ããªãããšããããšã¯æãç«ããªããšãããšãã®ããããªLv.18ã¯å¿ åãããšããããšã¯ãªã; fact14 -> int8: ä»®ã«ããã®ããããªLv.18ã¯èŠãé£ããªãããšããããšã¯æãç«ããªããšãããšãã现ããŠå ããŠç¡ããªãããšããããšã¯ééã£ãŠãã;"
] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ã¡ãLv.23ãç¡ãããŸãã¯ãããã现ããªããã®ããããªLv.18ã¯èªèŠåããªã fact2: ããããã®ãŸããŸãLv.94ãå¿ åãããšãããšãã®ã¿ãã¿ã¡ãLv.23ã¯ã现ã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯å¿ åãããšããããšã¯ãªããšãããšãããã¯æžãæããŠåŒãæããªãããšããããšã¯æãç«ããªã fact4: ãããããã¢ã³ã¹ã¿ãŒã¯èŠãé£ããªãã°ãããã¯ã现ããã©ç¡ããªãããšããããšã¯èª€ãã§ãã fact5: ããããã®ãŸããŸãLv.94ã¯èªèŠåãããšãããšããã®ããããªLv.18ã¯å¿ åããããšããããšã¯äºå®ã fact6: ãããã¢ã³ã¹ã¿ãŒã¯ã现ãããããããã¯ç¡ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ãå¿ åããªãããšããããšã¯æãç«ã€ fact7: ããä»®ã«ããã®ã¿ã¡ã
ã¿ãªLv.25ã¯åŒãæãããšããããšã¯æãç«ã€ãšãããæžãæã fact8: ããã®ã¿ã¡ã
ã¿ãªLv.25ã¯æžãæãããšããããšã¯äºå®ã§ãããšããã°ãã®ãŸããŸãLv.94ã¯å¿ åãã fact9: ããä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æžãæãããã©åŒãæããªãããšããããšã¯åœã§ãããªãã°ããã¯èªèŠåãã fact10: ãã®ã¿ã¡ã
ã¿ãªLv.25ã¯åŒãæã ; $hypothesis$ = ãã®ããããªLv.18ã¯èªèŠåãããšããããšã¯ãªã ; $proof$ = | fact7 & fact10 -> int1: ãã®ã¿ã¡ã
ã¿ãªLv.25ã¯æžãæã; int1 & fact8 -> int2: ãã®ãŸããŸãLv.94ã¯å¿ åãã; int2 & fact2 -> int3: ãã®ã¿ãã¿ã¡ãLv.23ã¯ã现ã; int3 -> int4: ãã®ã¿ãã¿ã¡ãLv.23ã¯ç¡ãããããã¯ã现ãããããã¯ã©ã¡ããã§ãã; int4 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({E}{c} v {D}{c}) -> ¬{F}{d} fact2: {C}{b} -> {D}{c} fact3: (x): ¬{C}x -> ¬({B}x & ¬{A}x) fact4: (x): {G}x -> ¬({D}x & ¬{E}x) fact5: {F}{b} -> {C}{d} fact6: (x): ¬({D}x & ¬{E}x) -> ¬{C}x fact7: {A}{a} -> {B}{a} fact8: {B}{a} -> {C}{b} fact9: (x): ¬({B}x & ¬{A}x) -> {F}x fact10: {A}{a} ; $hypothesis$ = ¬{F}{d} ; $proof$ = | fact7 & fact10 -> int1: {B}{a}; int1 & fact8 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; int3 -> int4: ({E}{c} v {D}{c}); int4 & fact1 -> hypothesis; __PROVED__ |
0.3 | 䜿ãé£ããšããããšãçããããããã¯ã·ã«ã·ãLv.84äºä»¶ã¯èµ·ããªã | ({D} v ¬{E}) | fact1: ãåŸããæããšããããšã¯çºçããªãããšããããšã¯è²·ãæããšããããšã«é»ãŸãã fact2: ãŸã¡ã
ãŸã«ãLv.43äºä»¶ãçãã fact3: ãããåŸããæããšããããšãèµ·ãããªãã䜿ãé£ããšããããšã¯çºçãããã·ã«ã·ãLv.84äºä»¶ã¯èµ·ãããªãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã | fact1: {A} -> {C} fact2: {F} fact3: {C} -> ¬({D} v ¬{E}) | [] | [] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãåŸããæããšããããšã¯çºçããªãããšããããšã¯è²·ãæããšããããšã«é»ãŸãã fact2: ãŸã¡ã
ãŸã«ãLv.43äºä»¶ãçãã fact3: ãããåŸããæããšããããšãèµ·ãããªãã䜿ãé£ããšããããšã¯çºçãããã·ã«ã·ãLv.84äºä»¶ã¯èµ·ãããªãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªã ; $hypothesis$ = 䜿ãé£ããšããããšãçããããããã¯ã·ã«ã·ãLv.84äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {C} fact2: {F} fact3: {C} -> ¬({D} v ¬{E}) ; $hypothesis$ = ({D} v ¬{E}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸãLv.69ã¯æ°Žèã | {A}{d} | fact1: ãããã®ãŸããŸãLv.47ã¯åã£ãœããªããŠããããããããªãããšããããšã¯æãç«ããªãããšããããšã¯æ£ãããšãããšãã®ãŸããŸã«ãLv.16ã¯é¢ç®ç¡ã fact2: ããä»®ã«ãã®ãŸããŸã«ãLv.16ãé¢ç®ç¡ããšããããã®ãŽã«ããŽã¡ã
Lv.57ã¯æšããªãããããã¯ããã¯é¢ç®ç¡ã fact3: ããããã®ãŸããŸãLv.47ã¯éç¥ããšããã°ããã®ãŸããŸãLv.47ã¯åã£ãœããªãããã®äžããã¯ãããããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŸããŸãLv.47ã¯éç¥ã | fact1: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {B}{b} -> (¬{C}{c} v {B}{c}) fact3: {D}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact4: {D}{a} | [
"fact4 & fact3 -> int1: ããã®ãŸããŸãLv.47ã¯åã£ãœããšããããšã¯ãªããããŸãã«ãããããªãããšããããšã¯ééãã§ãã; fact1 & int1 -> int2: ããã®ãŸããŸã«ãLv.16ã¯é¢ç®ç¡ãããšããããšã¯ç¢ºãã§ãã; int2 & fact2 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.57ã¯æšããšããããšã¯ãªãããŸãã¯ããã¯é¢ç®ç¡ããäž¡æ¹ãšãã ;"
] | [
"fact4 & fact3 -> int1: ¬(¬{AA}{a} & ¬{AB}{a}); fact1 & int1 -> int2: {B}{b}; int2 & fact2 -> int3: (¬{C}{c} v {B}{c});"
] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãŸããŸãLv.47ã¯åã£ãœããªããŠããããããããªãããšããããšã¯æãç«ããªãããšããããšã¯æ£ãããšãããšãã®ãŸããŸã«ãLv.16ã¯é¢ç®ç¡ã fact2: ããä»®ã«ãã®ãŸããŸã«ãLv.16ãé¢ç®ç¡ããšããããã®ãŽã«ããŽã¡ã
Lv.57ã¯æšããªãããããã¯ããã¯é¢ç®ç¡ã fact3: ããããã®ãŸããŸãLv.47ã¯éç¥ããšããã°ããã®ãŸããŸãLv.47ã¯åã£ãœããªãããã®äžããã¯ãããããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŸããŸãLv.47ã¯éç¥ã ; $hypothesis$ = ãã®ãŸããŸãLv.69ã¯æ°Žèã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: {B}{b} -> (¬{C}{c} v {B}{c}) fact3: {D}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact4: {D}{a} ; $hypothesis$ = {A}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãªã¿ã«Lv.45ã¯ãã©ããªã | ¬{F}{b} | fact1: ãã®ãŽã«ãŽãLv.89ã¯æ±ãé£ããæ¡æãããšããããšã¯ãªã fact2: ããããããã®ãŽã«ãŽãLv.89ã¯å®ã£ãœããæªããªãããšããããšã¯çå®ã§ããããšããããšã¯æãç«ããªããšããã°ããã®ãŽã«ãŽãLv.89ã¯è³ã
ãããšããããšã¯ãªãããšããããšã¯çå®ã fact3: ãããã®ãŽã«ãŽãLv.89ãèœæžããããã©ãããè³ã
ãããªããšãããšãã®ã¿ãªã¿ã«Lv.45ã¯ä¿¡ä»°æ·±ããªã fact4: ãã®ãŽã«ãŽãLv.89ã¯èœæžããã fact5: ããã®ãŽã«ãŽãLv.89ã¯å®ã£ãœãããã©æªããªãããšããããšã¯æãç«ããªã fact6: ãããã®ã¿ãªã¿ã«Lv.45ãè³ã
ãããªãããã¯ä¿¡ä»°æ·±ããªã fact7: ããããã®ã¿ãªã¿ã«Lv.45ã¯æ±ãé£ããªããã©ããã¯åãããšããããšã¯ééã£ãŠããã°ãã®ã¿ãªã¿ã«Lv.45ã¯ãã©ã fact8: ããä»®ã«ããã®ãŽã«ãŽãLv.89ã¯ä¿¡ä»°æ·±ããªããå®ã£ãœãããšããããšã¯ééããªããã®ãŽã«ãŽãLv.89ã¯ãã©ã fact9: ãããããã®ã·ãªã·ã«ãLv.76ã¯æ¥ããããšããããšã¯æ¬åœã§ãããªãã°ãã®ã·ãªã·ã«ãLv.76ã¯æãæããªã fact10: ãã®ã¿ãªã¿ã«Lv.45ã¯ä¿¡ä»°æ·±ããªããšããã°ãããã¯æ±ãé£ããªããåãããšããããšã¯èª€ã£ãŠãã | fact1: ({E}{a} & ¬{AL}{a}) fact2: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact3: ({A}{a} & ¬{B}{a}) -> ¬{C}{b} fact4: {A}{a} fact5: ¬({AA}{a} & ¬{AB}{a}) fact6: {B}{b} -> ¬{C}{b} fact7: ¬(¬{E}{b} & {D}{b}) -> {F}{b} fact8: ¬(¬{C}{a} & {AA}{a}) -> {F}{a} fact9: {HQ}{ds} -> ¬{IR}{ds} fact10: ¬{C}{b} -> ¬(¬{E}{b} & {D}{b}) | [
"fact2 & fact5 -> int1: ãã®ãŽã«ãŽãLv.89ã¯è³ã
ãããªã; int1 & fact4 -> int2: ãã®ãŽã«ãŽãLv.89ã¯èœæžãããããã©è³ã
ãããªã; int2 & fact3 -> int3: ãã®ã¿ãªã¿ã«Lv.45ã¯ä¿¡ä»°æ·±ããªã; int3 & fact10 -> int4: ããã®ã¿ãªã¿ã«Lv.45ã¯æ±ãé£ããªãããã©ããã¯åãããšããããšã¯æãç«ããªã; int4 & fact7 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: ¬{B}{a}; int1 & fact4 -> int2: ({A}{a} & ¬{B}{a}); int2 & fact3 -> int3: ¬{C}{b}; int3 & fact10 -> int4: ¬(¬{E}{b} & {D}{b}); int4 & fact7 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽã«ãŽãLv.89ã¯æ±ãé£ããæ¡æãããšããããšã¯ãªã fact2: ããããããã®ãŽã«ãŽãLv.89ã¯å®ã£ãœããæªããªãããšããããšã¯çå®ã§ããããšããããšã¯æãç«ããªããšããã°ããã®ãŽã«ãŽãLv.89ã¯è³ã
ãããšããããšã¯ãªãããšããããšã¯çå®ã fact3: ãããã®ãŽã«ãŽãLv.89ãèœæžããããã©ãããè³ã
ãããªããšãããšãã®ã¿ãªã¿ã«Lv.45ã¯ä¿¡ä»°æ·±ããªã fact4: ãã®ãŽã«ãŽãLv.89ã¯èœæžããã fact5: ããã®ãŽã«ãŽãLv.89ã¯å®ã£ãœãããã©æªããªãããšããããšã¯æãç«ããªã fact6: ãããã®ã¿ãªã¿ã«Lv.45ãè³ã
ãããªãããã¯ä¿¡ä»°æ·±ããªã fact7: ããããã®ã¿ãªã¿ã«Lv.45ã¯æ±ãé£ããªããã©ããã¯åãããšããããšã¯ééã£ãŠããã°ãã®ã¿ãªã¿ã«Lv.45ã¯ãã©ã fact8: ããä»®ã«ããã®ãŽã«ãŽãLv.89ã¯ä¿¡ä»°æ·±ããªããå®ã£ãœãããšããããšã¯ééããªããã®ãŽã«ãŽãLv.89ã¯ãã©ã fact9: ãããããã®ã·ãªã·ã«ãLv.76ã¯æ¥ããããšããããšã¯æ¬åœã§ãããªãã°ãã®ã·ãªã·ã«ãLv.76ã¯æãæããªã fact10: ãã®ã¿ãªã¿ã«Lv.45ã¯ä¿¡ä»°æ·±ããªããšããã°ãããã¯æ±ãé£ããªããåãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ãã®ã¿ãªã¿ã«Lv.45ã¯ãã©ããªã ; $proof$ = | fact2 & fact5 -> int1: ãã®ãŽã«ãŽãLv.89ã¯è³ã
ãããªã; int1 & fact4 -> int2: ãã®ãŽã«ãŽãLv.89ã¯èœæžãããããã©è³ã
ãããªã; int2 & fact3 -> int3: ãã®ã¿ãªã¿ã«Lv.45ã¯ä¿¡ä»°æ·±ããªã; int3 & fact10 -> int4: ããã®ã¿ãªã¿ã«Lv.45ã¯æ±ãé£ããªãããã©ããã¯åãããšããããšã¯æãç«ããªã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({E}{a} & ¬{AL}{a}) fact2: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact3: ({A}{a} & ¬{B}{a}) -> ¬{C}{b} fact4: {A}{a} fact5: ¬({AA}{a} & ¬{AB}{a}) fact6: {B}{b} -> ¬{C}{b} fact7: ¬(¬{E}{b} & {D}{b}) -> {F}{b} fact8: ¬(¬{C}{a} & {AA}{a}) -> {F}{a} fact9: {HQ}{ds} -> ¬{IR}{ds} fact10: ¬{C}{b} -> ¬(¬{E}{b} & {D}{b}) ; $hypothesis$ = ¬{F}{b} ; $proof$ = | fact2 & fact5 -> int1: ¬{B}{a}; int1 & fact4 -> int2: ({A}{a} & ¬{B}{a}); int2 & fact3 -> int3: ¬{C}{b}; int3 & fact10 -> int4: ¬(¬{E}{b} & {D}{b}); int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | èªãé£ããšããããšã¯ãèªãé£ããšããããšãèµ·ãããã©ä»ãé£ããšããããšã¯èµ·ããªãããšããããšã«ç¹ãã | {A} -> ({A} & ¬{B}) | fact1: ãã¿ãã¿ãLv.94äºä»¶ã§ã¯ãªããŠãã«ãããLv.4äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã | fact1: ¬(¬{C} & {D}) | [] | [] | null | null | [] | null | 4 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã¿ãã¿ãLv.94äºä»¶ã§ã¯ãªããŠãã«ãããLv.4äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã ; $hypothesis$ = èªãé£ããšããããšã¯ãèªãé£ããšããããšãèµ·ãããã©ä»ãé£ããšããããšã¯èµ·ããªãããšããããšã«ç¹ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{C} & {D}) ; $hypothesis$ = {A} -> ({A} & ¬{B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.77ã¯çéãé£ã | {F}{b} | fact1: æµäžæ·±ãã¢ã³ã¹ã¿ãŒã¯çéãé£ã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.77ãèªåããããšããããã®ã¿ãã¿ãLv.77ã¯äºå®ãã fact3: ä»®ã«ãã®ã¿ãã¿ãLv.77ãäºå®ããã°çŠãã£ãããªããããã«ããã¯äºå®ãã fact4: ä»®ã«ãã®ã·ãã·ãLv.71ãæµäžæ·±ããšãããšãã®ã·ãã·ãLv.71ã¯èªèšŒãã fact5: ããããã®ã¿ãã¿ãLv.77ãèªèšŒããªãäžæ¹ã§çŠãã£ãããªãã°ãã®ã¿ãã¿ãLv.77ã¯èªåããããªã fact6: ãã®ã·ãã·ãLv.71ãèªèšŒãããšããã°ãã®ã¿ãã¿ãLv.77ã¯èªåããã fact7: ããããã®ã¿ãã¿ãLv.77ã¯çŠãã£ãããªããäºå®ãããšãããšããã®ã¿ãã¿ãLv.77ã¯çéãé£ããªãããšããããšã¯æ£ãã fact8: ãã®ã·ãã·ãLv.71ã¯æµäžæ·±ã fact9: èªåããããªãã¢ã³ã¹ã¿ãŒã¯æµäžæ·±ããŠããã«èªèšŒãã | fact1: (x): {A}x -> {F}x fact2: {C}{b} -> {D}{b} fact3: {D}{b} -> (¬{E}{b} & {D}{b}) fact4: {A}{a} -> {B}{a} fact5: (¬{B}{b} & {E}{b}) -> ¬{C}{b} fact6: {B}{a} -> {C}{b} fact7: (¬{E}{b} & {D}{b}) -> ¬{F}{b} fact8: {A}{a} fact9: (x): ¬{C}x -> ({A}x & {B}x) | [
"fact4 & fact8 -> int1: ãã®ã·ãã·ãLv.71ã¯èªèšŒãã; int1 & fact6 -> int2: ãã®ã¿ãã¿ãLv.77ã¯èªåããã; int2 & fact2 -> int3: ãã®ã¿ãã¿ãLv.77ã¯äºå®ãã; int3 & fact3 -> int4: ãã®ã¿ãã¿ãLv.77ã¯çŠãã£ãããšããããšã¯ãªãäžæ¹ã§ããã¯äºå®ãã; int4 & fact7 -> hypothesis;"
] | [
"fact4 & fact8 -> int1: {B}{a}; int1 & fact6 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{b}; int3 & fact3 -> int4: (¬{E}{b} & {D}{b}); int4 & fact7 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.77ã¯çéãé£ã | {F}{b} | [
"fact11 -> int5: ãã®ã¿ãã¿ãLv.77ãæµäžæ·±ããšãããçéãé£ã; fact10 -> int6: ãã®ã¿ãã¿ãLv.77ãèªåããããªããšãããšæµäžæ·±ããèªèšŒãã;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æµäžæ·±ãã¢ã³ã¹ã¿ãŒã¯çéãé£ã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.77ãèªåããããšããããã®ã¿ãã¿ãLv.77ã¯äºå®ãã fact3: ä»®ã«ãã®ã¿ãã¿ãLv.77ãäºå®ããã°çŠãã£ãããªããããã«ããã¯äºå®ãã fact4: ä»®ã«ãã®ã·ãã·ãLv.71ãæµäžæ·±ããšãããšãã®ã·ãã·ãLv.71ã¯èªèšŒãã fact5: ããããã®ã¿ãã¿ãLv.77ãèªèšŒããªãäžæ¹ã§çŠãã£ãããªãã°ãã®ã¿ãã¿ãLv.77ã¯èªåããããªã fact6: ãã®ã·ãã·ãLv.71ãèªèšŒãããšããã°ãã®ã¿ãã¿ãLv.77ã¯èªåããã fact7: ããããã®ã¿ãã¿ãLv.77ã¯çŠãã£ãããªããäºå®ãããšãããšããã®ã¿ãã¿ãLv.77ã¯çéãé£ããªãããšããããšã¯æ£ãã fact8: ãã®ã·ãã·ãLv.71ã¯æµäžæ·±ã fact9: èªåããããªãã¢ã³ã¹ã¿ãŒã¯æµäžæ·±ããŠããã«èªèšŒãã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.77ã¯çéãé£ã ; $proof$ = | fact4 & fact8 -> int1: ãã®ã·ãã·ãLv.71ã¯èªèšŒãã; int1 & fact6 -> int2: ãã®ã¿ãã¿ãLv.77ã¯èªåããã; int2 & fact2 -> int3: ãã®ã¿ãã¿ãLv.77ã¯äºå®ãã; int3 & fact3 -> int4: ãã®ã¿ãã¿ãLv.77ã¯çŠãã£ãããšããããšã¯ãªãäžæ¹ã§ããã¯äºå®ãã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> {F}x fact2: {C}{b} -> {D}{b} fact3: {D}{b} -> (¬{E}{b} & {D}{b}) fact4: {A}{a} -> {B}{a} fact5: (¬{B}{b} & {E}{b}) -> ¬{C}{b} fact6: {B}{a} -> {C}{b} fact7: (¬{E}{b} & {D}{b}) -> ¬{F}{b} fact8: {A}{a} fact9: (x): ¬{C}x -> ({A}x & {B}x) ; $hypothesis$ = {F}{b} ; $proof$ = | fact4 & fact8 -> int1: {B}{a}; int1 & fact6 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{b}; int3 & fact3 -> int4: (¬{E}{b} & {D}{b}); int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ã
ããLv.8ã¯æºãããªããªã | ¬{B}{b} | fact1: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯æºãããªããªãã°ãããŒããããšããããšã¯æãç«ã€ fact2: ãã®ã·ãã·ãLv.54ã¯ããŒãã fact3: ããããã®ã·ãã·ãLv.54ãããŒãããªãã°ãã®ãã¡ã
ããLv.8ã¯æºãããªã fact4: ããšããã¢ã³ã¹ã¿ãŒã¯ããŒããããããã¯åŽ©ãæãããšããããšã¯æãç«ããªããšãããšããæºãããªãããšããããšã¯äºå®ã ããšããããšã¯ééãã | fact1: (x): {B}x -> {A}x fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: (x): ¬({A}x v {C}x) -> ¬{B}x | [
"fact2 -> int1: ãã®ã·ãã·ãLv.54ã¯ããŒãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ãã¡ã
ããLv.8ã¯æºãããªããªã | ¬{B}{b} | [
"fact5 -> int2: ãããããã®ã·ãã·ãLv.54ã¯ããŒããã厩ãæãããšããããšã¯äºå®ã§ãªããªãã°ãã®ã·ãã·ãLv.54ã¯æºãããªããªã;"
] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯æºãããªããªãã°ãããŒããããšããããšã¯æãç«ã€ fact2: ãã®ã·ãã·ãLv.54ã¯ããŒãã fact3: ããããã®ã·ãã·ãLv.54ãããŒãããªãã°ãã®ãã¡ã
ããLv.8ã¯æºãããªã fact4: ããšããã¢ã³ã¹ã¿ãŒã¯ããŒããããããã¯åŽ©ãæãããšããããšã¯æãç«ããªããšãããšããæºãããªãããšããããšã¯äºå®ã ããšããããšã¯ééãã ; $hypothesis$ = ãã®ãã¡ã
ããLv.8ã¯æºãããªããªã ; $proof$ = | fact2 -> int1: ãã®ã·ãã·ãLv.54ã¯ããŒãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: (x): ¬({A}x v {C}x) -> ¬{B}x ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.1ã¯æ¥µãŸããªã | {F}{c} | fact1: ããããã®ãã®ãã®Lv.22ãæããšãããšãã®ããããLv.1ã¯è
«ããŒã£ãããªã fact2: ããã®ã¿ãªã¿ãLv.32ã¯å¯ç¬ãããšããããšã¯æ£ãã fact3: ããããã®ããããLv.1ã埡è¥ããªããã®ãã®ãã®Lv.22ã¯åŸ¡è¥ã fact4: ããããã®ã¿ãªã¿ãLv.32ã埡è¥ããšããããã®ãã®ãã®Lv.22ã¯ã¢ã¡ãªã«ã£ãœã fact5: ãããã®ãã®ãã®Lv.22ã埡è¥ããšããããã®ã¿ãªã¿ãLv.32ã¯å¯ç¬ããªãããã€è
«ããŒã£ãããªã fact6: ããããã®ãã®ãã®Lv.22ãã¢ã¡ãªã«ã£ãœãããããã¯æããªãã°ãã®ããããLv.1ã¯è
«ããŒã£ãããªã fact7: ããããã®ããããLv.1ãè
«ããŒã£ãããªããšããã°æ¥µãŸããªã fact8: ãã®ã¿ãªã¿ãLv.32ã¯å¯ç¬ããæŽã«åŸ¡è¥ã | fact1: {D}{b} -> ¬{E}{c} fact2: {A}{a} fact3: {B}{c} -> {B}{b} fact4: {B}{a} -> {C}{b} fact5: {B}{b} -> (¬{A}{a} & ¬{E}{a}) fact6: ({C}{b} v {D}{b}) -> ¬{E}{c} fact7: ¬{E}{c} -> {F}{c} fact8: ({A}{a} & {B}{a}) | [
"fact8 -> int1: ãã®ã¿ãªã¿ãLv.32ã¯åŸ¡è¥ã; int1 & fact4 -> int2: ããã®ãã®ãã®Lv.22ã¯ã¢ã¡ãªã«ã£ãœãããšããããšã¯ç¢ºãã§ãã; int2 -> int3: ãã®ãã®ãã®Lv.22ã¯ã¢ã¡ãªã«ã£ãœãããããã¯æãããããã¯äž¡æ¹ãšãã§ãã; int3 & fact6 -> int4: ãã®ããããLv.1ã¯è
«ããŒã£ãããªã; int4 & fact7 -> hypothesis;"
] | [
"fact8 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 -> int3: ({C}{b} v {D}{b}); int3 & fact6 -> int4: ¬{E}{c}; int4 & fact7 -> hypothesis;"
] | ãã®ã¿ãªã¿ãLv.32ã¯è
«ããŒã£ãããªã | ¬{E}{a} | [] | 6 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãã®ãã®Lv.22ãæããšãããšãã®ããããLv.1ã¯è
«ããŒã£ãããªã fact2: ããã®ã¿ãªã¿ãLv.32ã¯å¯ç¬ãããšããããšã¯æ£ãã fact3: ããããã®ããããLv.1ã埡è¥ããªããã®ãã®ãã®Lv.22ã¯åŸ¡è¥ã fact4: ããããã®ã¿ãªã¿ãLv.32ã埡è¥ããšããããã®ãã®ãã®Lv.22ã¯ã¢ã¡ãªã«ã£ãœã fact5: ãããã®ãã®ãã®Lv.22ã埡è¥ããšããããã®ã¿ãªã¿ãLv.32ã¯å¯ç¬ããªãããã€è
«ããŒã£ãããªã fact6: ããããã®ãã®ãã®Lv.22ãã¢ã¡ãªã«ã£ãœãããããã¯æããªãã°ãã®ããããLv.1ã¯è
«ããŒã£ãããªã fact7: ããããã®ããããLv.1ãè
«ããŒã£ãããªããšããã°æ¥µãŸããªã fact8: ãã®ã¿ãªã¿ãLv.32ã¯å¯ç¬ããæŽã«åŸ¡è¥ã ; $hypothesis$ = ãã®ããããLv.1ã¯æ¥µãŸããªã ; $proof$ = | fact8 -> int1: ãã®ã¿ãªã¿ãLv.32ã¯åŸ¡è¥ã; int1 & fact4 -> int2: ããã®ãã®ãã®Lv.22ã¯ã¢ã¡ãªã«ã£ãœãããšããããšã¯ç¢ºãã§ãã; int2 -> int3: ãã®ãã®ãã®Lv.22ã¯ã¢ã¡ãªã«ã£ãœãããããã¯æãããããã¯äž¡æ¹ãšãã§ãã; int3 & fact6 -> int4: ãã®ããããLv.1ã¯è
«ããŒã£ãããªã; int4 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: {D}{b} -> ¬{E}{c} fact2: {A}{a} fact3: {B}{c} -> {B}{b} fact4: {B}{a} -> {C}{b} fact5: {B}{b} -> (¬{A}{a} & ¬{E}{a}) fact6: ({C}{b} v {D}{b}) -> ¬{E}{c} fact7: ¬{E}{c} -> {F}{c} fact8: ({A}{a} & {B}{a}) ; $hypothesis$ = {F}{c} ; $proof$ = | fact8 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 -> int3: ({C}{b} v {D}{b}); int3 & fact6 -> int4: ¬{E}{c}; int4 & fact7 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ãªã·ãLv.35ã¯èŠéããé£ããªããŠãã€äœãé£ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã | ¬(¬{C}{d} & ¬{D}{d}) | fact1: ããã®ãŽããŽã¡ãLv.15ã¯èª¿ã¹æããããã¯çãŸãããªãããšããããšã¯æãç«ããªã fact2: ããä»®ã«ãã®ã·ã«ã
ã·ã®Lv.59ã¯è»œã
ãããŠè¡ããæããšããã°ããã®ã¿ãã¿ãLv.11ã¯èŠéããé£ãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ãã®ã¿ãã¿ãLv.11ãèŠéããé£ããªããšãããšãã®ã·ãªã·ãLv.35ã¯èŠéããé£ããªããäœãé£ããªã fact4: ãã®ã·ã«ã
ã·ã®Lv.59ã¯è¡ããæã fact5: ãã®ãŽã®ãŽãLv.40ã¯èŠéããé£ããšããããšã¯ãªã | fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: ({B}{b} & {A}{b}) -> ¬{C}{c} fact3: ¬{C}{c} -> (¬{C}{d} & ¬{D}{d}) fact4: {A}{b} fact5: ¬{C}{if} | [] | [] | null | null | [] | null | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãŽããŽã¡ãLv.15ã¯èª¿ã¹æããããã¯çãŸãããªãããšããããšã¯æãç«ããªã fact2: ããä»®ã«ãã®ã·ã«ã
ã·ã®Lv.59ã¯è»œã
ãããŠè¡ããæããšããã°ããã®ã¿ãã¿ãLv.11ã¯èŠéããé£ãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ãã®ã¿ãã¿ãLv.11ãèŠéããé£ããªããšãããšãã®ã·ãªã·ãLv.35ã¯èŠéããé£ããªããäœãé£ããªã fact4: ãã®ã·ã«ã
ã·ã®Lv.59ã¯è¡ããæã fact5: ãã®ãŽã®ãŽãLv.40ã¯èŠéããé£ããšããããšã¯ãªã ; $hypothesis$ = ããã®ã·ãªã·ãLv.35ã¯èŠéããé£ããªããŠãã€äœãé£ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: ({B}{b} & {A}{b}) -> ¬{C}{c} fact3: ¬{C}{c} -> (¬{C}{d} & ¬{D}{d}) fact4: {A}{b} fact5: ¬{C}{if} ; $hypothesis$ = ¬(¬{C}{d} & ¬{D}{d}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæãããã©é¡æšé©çšããªã | ({G}{c} & ¬{H}{c}) | fact1: ä»®ã«ãã®ã¿ãªã¿ãLv.19ã¯ç«ãŠé£ããªããšãããããã°ãã£ãããªããŠãããæšãããšããããšã¯æãç«ããªã fact2: ããããã®ãŸã¡ããŸã¡ãLv.46ãåŽåŽããªããªããã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæããããã¯é¡æšé©çšããªã fact3: ããããã®ã¿ãªã¿ãLv.19ã¯éããããšããããšã¯æ£ãããªããšããã°ããã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæããé¡æšé©çšããªãããšããããšã¯èª€ãã§ãã fact4: ãã®ãŸã¡ããŸã¡ãLv.46ãæºã蟌ã¿æããšããã°ãã®ã¿ãªã¿ãLv.19ã¯ç«ãŠé£ããªã fact5: ãã®ãŸã¡ããŸã¡ãLv.46ã¯åŽåŽããå ããŠããã¯æºã蟌ã¿æã | fact1: ¬{C}{b} -> ¬(¬{D}{b} & {E}{b}) fact2: ¬{A}{a} -> ({G}{c} & ¬{H}{c}) fact3: ¬{F}{b} -> ¬({G}{c} & ¬{H}{c}) fact4: {B}{a} -> ¬{C}{b} fact5: ({A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ãŸã¡ããŸã¡ãLv.46ã¯æºã蟌ã¿æã; int1 & fact4 -> int2: ãã®ã¿ãªã¿ãLv.19ã¯ç«ãŠé£ããªã; int2 & fact1 -> int3: ããã®ã¿ãªã¿ãLv.19ã¯ãã°ãã£ãããªããã©æšãããšããããšã¯ééã£ãŠãã;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact4 -> int2: ¬{C}{b}; int2 & fact1 -> int3: ¬(¬{D}{b} & {E}{b});"
] | ãã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæãããã©é¡æšé©çšããªã | ({G}{c} & ¬{H}{c}) | [] | 5 | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ãªã¿ãLv.19ã¯ç«ãŠé£ããªããšãããããã°ãã£ãããªããŠãããæšãããšããããšã¯æãç«ããªã fact2: ããããã®ãŸã¡ããŸã¡ãLv.46ãåŽåŽããªããªããã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæããããã¯é¡æšé©çšããªã fact3: ããããã®ã¿ãªã¿ãLv.19ã¯éããããšããããšã¯æ£ãããªããšããã°ããã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæããé¡æšé©çšããªãããšããããšã¯èª€ãã§ãã fact4: ãã®ãŸã¡ããŸã¡ãLv.46ãæºã蟌ã¿æããšããã°ãã®ã¿ãªã¿ãLv.19ã¯ç«ãŠé£ããªã fact5: ãã®ãŸã¡ããŸã¡ãLv.46ã¯åŽåŽããå ããŠããã¯æºã蟌ã¿æã ; $hypothesis$ = ãã®ã·ãªã·ã¡ãLv.66ã¯æº¶ãæãããã©é¡æšé©çšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C}{b} -> ¬(¬{D}{b} & {E}{b}) fact2: ¬{A}{a} -> ({G}{c} & ¬{H}{c}) fact3: ¬{F}{b} -> ¬({G}{c} & ¬{H}{c}) fact4: {B}{a} -> ¬{C}{b} fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = ({G}{c} & ¬{H}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãæ±æããããšãçºçããããšããããšã¯æãç«ã€ | {G} | fact1: ãæ±ããšããããšã¯çããªãããããã·ãã·ã¡ãLv.78äºä»¶ãçããããšããããšã¯æãç«ããªã fact2: ãééãæããšããããšã¯èµ·ããªãããšããããšã¯èªãé£ããšããããšã®ãã£ãããšãªã fact3: å¿è匷ããšããããšãèµ·ãã fact4: ãçããããšããããšã¯èµ·ããªãããšããããšã¯ãäžç³ããããšã¯çããªãããšããããšã«åž°çµãã fact5: ãœããœã«Lv.4äºä»¶ã¯èµ·ããªã fact6: ãã·ãã·ã«ãLv.4äºä»¶ã¯èµ·ããªãããšããããšã¯ãå¿è匷ããšããããšãèµ·ãããåŸé£ããšããããšãèµ·ããããšããããšã«ç±æ¥ãã fact7: æ Œå¥œæªããšããããšãèµ·ããããŸãã¯åã
ãããšããããšãèµ·ãã fact8: æ±æããããšãäžç³ããããšãèµ·ãããªããšããããšã¯å¥æ©ã fact9: ããä»®ã«ãã¿ã¡ãã¿ãLv.49äºä»¶ã§ã¯ãªãçããããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãäžç³ããããšã¯çããªã fact10: ããã·ãã·ã«ãLv.4äºä»¶ã¯çããªããªããã¿ã¡ãã¿ãLv.49äºä»¶ã§ã¯ãªãçããããšããããšãèµ·ããããšããããšã¯åœã | fact1: ¬(¬{AI} & {AG}) fact2: ¬{IC} -> {DO} fact3: {A} fact4: ¬{E} -> ¬{F} fact5: ¬{N} fact6: ({A} v {B}) -> ¬{C} fact7: ({IS} v {DH}) fact8: ¬{F} -> {G} fact9: ¬(¬{D} & {E}) -> ¬{F} fact10: ¬{C} -> ¬(¬{D} & {E}) | [
"fact3 -> int1: å¿è匷ããšããããšãèµ·ãããåŸé£ããšããããšãçããããããã¯äž¡æ¹ãšãã ; int1 & fact6 -> int2: ã·ãã·ã«ãLv.4äºä»¶ã¯çããªã; int2 & fact10 -> int3: ãã¿ã¡ãã¿ãLv.49äºä»¶ã§ã¯ãªããŠçããããšããããšãçããããšããããšã¯æãç«ããªã; int3 & fact9 -> int4: äžç³ããããšã¯çºçããªã; int4 & fact8 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact10 -> int3: ¬(¬{D} & {E}); int3 & fact9 -> int4: ¬{F}; int4 & fact8 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 5 | 0 | 5 | PROVED | null | PROVED | null | $facts$ = fact1: ãæ±ããšããããšã¯çããªãããããã·ãã·ã¡ãLv.78äºä»¶ãçããããšããããšã¯æãç«ããªã fact2: ãééãæããšããããšã¯èµ·ããªãããšããããšã¯èªãé£ããšããããšã®ãã£ãããšãªã fact3: å¿è匷ããšããããšãèµ·ãã fact4: ãçããããšããããšã¯èµ·ããªãããšããããšã¯ãäžç³ããããšã¯çããªãããšããããšã«åž°çµãã fact5: ãœããœã«Lv.4äºä»¶ã¯èµ·ããªã fact6: ãã·ãã·ã«ãLv.4äºä»¶ã¯èµ·ããªãããšããããšã¯ãå¿è匷ããšããããšãèµ·ãããåŸé£ããšããããšãèµ·ããããšããããšã«ç±æ¥ãã fact7: æ Œå¥œæªããšããããšãèµ·ããããŸãã¯åã
ãããšããããšãèµ·ãã fact8: æ±æããããšãäžç³ããããšãèµ·ãããªããšããããšã¯å¥æ©ã fact9: ããä»®ã«ãã¿ã¡ãã¿ãLv.49äºä»¶ã§ã¯ãªãçããããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãäžç³ããããšã¯çããªã fact10: ããã·ãã·ã«ãLv.4äºä»¶ã¯çããªããªããã¿ã¡ãã¿ãLv.49äºä»¶ã§ã¯ãªãçããããšããããšãèµ·ããããšããããšã¯åœã ; $hypothesis$ = ãæ±æããããšãçºçããããšããããšã¯æãç«ã€ ; $proof$ = | fact3 -> int1: å¿è匷ããšããããšãèµ·ãããåŸé£ããšããããšãçããããããã¯äž¡æ¹ãšãã ; int1 & fact6 -> int2: ã·ãã·ã«ãLv.4äºä»¶ã¯çããªã; int2 & fact10 -> int3: ãã¿ã¡ãã¿ãLv.49äºä»¶ã§ã¯ãªããŠçããããšããããšãçããããšããããšã¯æãç«ããªã; int3 & fact9 -> int4: äžç³ããããšã¯çºçããªã; int4 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AI} & {AG}) fact2: ¬{IC} -> {DO} fact3: {A} fact4: ¬{E} -> ¬{F} fact5: ¬{N} fact6: ({A} v {B}) -> ¬{C} fact7: ({IS} v {DH}) fact8: ¬{F} -> {G} fact9: ¬(¬{D} & {E}) -> ¬{F} fact10: ¬{C} -> ¬(¬{D} & {E}) ; $hypothesis$ = {G} ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact10 -> int3: ¬(¬{D} & {E}); int3 & fact9 -> int4: ¬{F}; int4 & fact8 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãªã·ã«ã
Lv.89ã¯å®è¡ãæã | {A}{a} | fact1: ããã®ã·ãªã·ã«ã
Lv.89ã¯çŽ 人ã£ãœããšããããšã¯ãªããããã«ããã¯æãããããªãããšããããšã¯ééã£ãŠãã fact2: ããã®ãœã¡ããœã¡ãLv.77ã¯ç Žãé£ããã©æ€èšºããªãããšããããšã¯èª€ã£ãŠãã | fact1: ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬({HF}{bj} & ¬{IR}{bj}) | [] | [] | null | null | [] | null | 4 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ã·ãªã·ã«ã
Lv.89ã¯çŽ 人ã£ãœããšããããšã¯ãªããããã«ããã¯æãããããªãããšããããšã¯ééã£ãŠãã fact2: ããã®ãœã¡ããœã¡ãLv.77ã¯ç Žãé£ããã©æ€èšºããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ãã®ã·ãªã·ã«ã
Lv.89ã¯å®è¡ãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬({HF}{bj} & ¬{IR}{bj}) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸã«ãLv.38ã¯ã©ã§ãããéªåŽ©ããããšããããšã¯æãç«ããªã | ¬({E}{a} v {F}{a}) | fact1: ããããã®ãŸããŸã«ãLv.38ãåœããæããšãããšãã®ãŸããŸã«ãLv.38ã¯ã©ã§ããããšããããšã¯ç¢ºãã fact2: ãã®ãŸããŸã«ãLv.38ã¯å¿«è«Ÿãããå ããŠæå³æ·±ã fact3: ããä»®ã«ãã®ãŸããŸã«ãLv.38ãåã£ãœããšãããšããã¯åœããæã fact4: ãã®ãŸããŸã«ãLv.38ã¯ã²ããé·ããããŸãã«é¢æ ãã fact5: ãã®ãœããœã¡ãLv.75ã¯ã©ã§ãã fact6: ãã®ã·ã«ãã·ãLv.33ã¯éªåŽ©ãã fact7: ããã®ãŸããŸã«ãLv.38ã¯ã²ããé·ããšããããšã¯ãªãããšããããšã¯åã ãšããããã®ãŸããŸã«ãLv.38ã¯åã£ãœã | fact1: {D}{a} -> {E}{a} fact2: ({AR}{a} & {FF}{a}) fact3: {C}{a} -> {D}{a} fact4: ({A}{a} & {B}{a}) fact5: {E}{eo} fact6: {F}{r} fact7: {A}{a} -> {C}{a} | [
"fact4 -> int1: ãã®ãŸããŸã«ãLv.38ã¯ã²ããé·ã; int1 & fact7 -> int2: ãã®ãŸããŸã«ãLv.38ã¯åã£ãœã; int2 & fact3 -> int3: ãã®ãŸããŸã«ãLv.38ã¯åœããæã; int3 & fact1 -> int4: ãã®ãŸããŸã«ãLv.38ã¯ã©ã§ãã; int4 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact7 -> int2: {C}{a}; int2 & fact3 -> int3: {D}{a}; int3 & fact1 -> int4: {E}{a}; int4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãŸããŸã«ãLv.38ãåœããæããšãããšãã®ãŸããŸã«ãLv.38ã¯ã©ã§ããããšããããšã¯ç¢ºãã fact2: ãã®ãŸããŸã«ãLv.38ã¯å¿«è«Ÿãããå ããŠæå³æ·±ã fact3: ããä»®ã«ãã®ãŸããŸã«ãLv.38ãåã£ãœããšãããšããã¯åœããæã fact4: ãã®ãŸããŸã«ãLv.38ã¯ã²ããé·ããããŸãã«é¢æ ãã fact5: ãã®ãœããœã¡ãLv.75ã¯ã©ã§ãã fact6: ãã®ã·ã«ãã·ãLv.33ã¯éªåŽ©ãã fact7: ããã®ãŸããŸã«ãLv.38ã¯ã²ããé·ããšããããšã¯ãªãããšããããšã¯åã ãšããããã®ãŸããŸã«ãLv.38ã¯åã£ãœã ; $hypothesis$ = ããã®ãŸããŸã«ãLv.38ã¯ã©ã§ãããéªåŽ©ããããšããããšã¯æãç«ããªã ; $proof$ = | fact4 -> int1: ãã®ãŸããŸã«ãLv.38ã¯ã²ããé·ã; int1 & fact7 -> int2: ãã®ãŸããŸã«ãLv.38ã¯åã£ãœã; int2 & fact3 -> int3: ãã®ãŸããŸã«ãLv.38ã¯åœããæã; int3 & fact1 -> int4: ãã®ãŸããŸã«ãLv.38ã¯ã©ã§ãã; int4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{a} -> {E}{a} fact2: ({AR}{a} & {FF}{a}) fact3: {C}{a} -> {D}{a} fact4: ({A}{a} & {B}{a}) fact5: {E}{eo} fact6: {F}{r} fact7: {A}{a} -> {C}{a} ; $hypothesis$ = ¬({E}{a} v {F}{a}) ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact7 -> int2: {C}{a}; int2 & fact3 -> int3: {D}{a}; int3 & fact1 -> int4: {E}{a}; int4 -> hypothesis; __DISPROVED__ |
0.3 | ããä»®ã«çã ããªããšãããçã ããšããããšã¯ãªããç¹è£œããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ¬{A}x -> (¬{A}x & ¬{B}x)) | fact1: ãã®ãŸã¡ããŸãLv.33ã¯ç¹è£œããªã | fact1: ¬{B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã¡ããŸãLv.33ã¯çã ããšããããšã¯ãªã; assump1 & fact1 -> int1: ãã®ãŸã¡ããŸãLv.33ã¯çã ããªããããã«ããã¯ç¹è£œããªã; [assump1] & int1 -> int2: ä»®ã«ãã®ãŸã¡ããŸãLv.33ãçã ããªããšãããšçã ããªãããã€ç¹è£œããªã; int2 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; assump1 & fact1 -> int1: (¬{A}{a} & ¬{B}{a}); [assump1] & int1 -> int2: ¬{A}{a} -> (¬{A}{a} & ¬{B}{a}); int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸã¡ããŸãLv.33ã¯ç¹è£œããªã ; $hypothesis$ = ããä»®ã«çã ããªããšãããçã ããšããããšã¯ãªããç¹è£œããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã¡ããŸãLv.33ã¯çã ããšããããšã¯ãªã; assump1 & fact1 -> int1: ãã®ãŸã¡ããŸãLv.33ã¯çã ããªããããã«ããã¯ç¹è£œããªã; [assump1] & int1 -> int2: ä»®ã«ãã®ãŸã¡ããŸãLv.33ãçã ããªããšãããšçã ããªãããã€ç¹è£œããªã; int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{a} ; $hypothesis$ = ¬((Ex): ¬{A}x -> (¬{A}x & ¬{B}x)) ; $proof$ = | void -> assump1: ¬{A}{a}; assump1 & fact1 -> int1: (¬{A}{a} & ¬{B}{a}); [assump1] & int1 -> int2: ¬{A}{a} -> (¬{A}{a} & ¬{B}{a}); int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã®ããLv.15ã¯å¥¥åºãããªã | ¬{D}{b} | fact1: ãã®ã·ãã·ãLv.79ã¯æ¥èŸããªã fact2: ãããã®ãŸããŸã¡ãLv.22ã移ãé£ããšãããšåŸ¡è¥ããªããããã移ãé£ã fact3: ãã®ãŸããŸã¡ãLv.22ã¯ç£ç£ã»ç®¡çãããã©ããã¯æ¥èŸããªã fact4: ããä»®ã«ãã®ãŸããŸã¡ãLv.22ã¯åŸ¡è¥ããªããªãã°ããã®ãã®ããLv.15ã¯åŸ¡è¥ããªããããŸãã«èµ·ããæããªãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ããã®ãã®ããLv.15ã¯åŸ¡è¥ããªããæŽã«èµ·ããæããªãããšããããšã¯äºå®ãšç°ãªãã°ãã®ãã®ããLv.15ã¯å¥¥åºãããªã | fact1: ¬{AB}{fh} fact2: {B}{a} -> (¬{C}{a} & {B}{a}) fact3: ({AA}{a} & ¬{AB}{a}) fact4: ¬{C}{a} -> ¬(¬{C}{b} & ¬{A}{b}) fact5: ¬(¬{C}{b} & ¬{A}{b}) -> ¬{D}{b} | [] | [] | null | null | [] | null | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ãLv.79ã¯æ¥èŸããªã fact2: ãããã®ãŸããŸã¡ãLv.22ã移ãé£ããšãããšåŸ¡è¥ããªããããã移ãé£ã fact3: ãã®ãŸããŸã¡ãLv.22ã¯ç£ç£ã»ç®¡çãããã©ããã¯æ¥èŸããªã fact4: ããä»®ã«ãã®ãŸããŸã¡ãLv.22ã¯åŸ¡è¥ããªããªãã°ããã®ãã®ããLv.15ã¯åŸ¡è¥ããªããããŸãã«èµ·ããæããªãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ããã®ãã®ããLv.15ã¯åŸ¡è¥ããªããæŽã«èµ·ããæããªãããšããããšã¯äºå®ãšç°ãªãã°ãã®ãã®ããLv.15ã¯å¥¥åºãããªã ; $hypothesis$ = ãã®ãã®ããLv.15ã¯å¥¥åºãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{AB}{fh} fact2: {B}{a} -> (¬{C}{a} & {B}{a}) fact3: ({AA}{a} & ¬{AB}{a}) fact4: ¬{C}{a} -> ¬(¬{C}{b} & ¬{A}{b}) fact5: ¬(¬{C}{b} & ¬{A}{b}) -> ¬{D}{b} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããœã¡ããœãLv.68äºä»¶ã¯çããªã | ¬{A} | fact1: å£ç
©ããšããããšã¯ãœãªãœãLv.89äºä»¶ã«èªçºããã fact2: å£ç
©ããšããããšãšãœãªãœãLv.89äºä»¶ãçºçããã¯ãœã¡ããœãLv.68äºä»¶ã¯çããªããšããããšãçãããã fact3: ãœãªãœãLv.89äºä»¶ããœã¡ããœãLv.68äºä»¶ãèµ·ãããªããšããããšã¯åå ã fact4: å£ç
©ããšããããšã¯èµ·ããªã fact5: 埡åŸ
ã€ããšãçºçãã fact6: ããã€ãããããšããããšã¯èµ·ãããªã fact7: ãå¿é
¬ããããšã¯çºçããªãããšããããšã¯ããŽããŽãLv.34äºä»¶ã¯çããªãããšããããšãé»ã | fact1: {B} -> {C} fact2: ({C} & {B}) -> ¬{A} fact3: ¬{A} -> {B} fact4: ¬{C} fact5: {IP} fact6: ¬{DC} fact7: ¬{G} -> {GG} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããœã¡ããœãLv.68äºä»¶ã¯çããªã; fact3 & assump1 -> int1: ãœãªãœãLv.89äºä»¶ãçãã; int1 & fact1 -> int2: å£ç
©ããšããããšãèµ·ãã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact3 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããœã¡ããœãLv.68äºä»¶ã¯çããªã | ¬{A} | [] | 6 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å£ç
©ããšããããšã¯ãœãªãœãLv.89äºä»¶ã«èªçºããã fact2: å£ç
©ããšããããšãšãœãªãœãLv.89äºä»¶ãçºçããã¯ãœã¡ããœãLv.68äºä»¶ã¯çããªããšããããšãçãããã fact3: ãœãªãœãLv.89äºä»¶ããœã¡ããœãLv.68äºä»¶ãèµ·ãããªããšããããšã¯åå ã fact4: å£ç
©ããšããããšã¯èµ·ããªã fact5: 埡åŸ
ã€ããšãçºçãã fact6: ããã€ãããããšããããšã¯èµ·ãããªã fact7: ãå¿é
¬ããããšã¯çºçããªãããšããããšã¯ããŽããŽãLv.34äºä»¶ã¯çããªãããšããããšãé»ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããœã¡ããœãLv.68äºä»¶ã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããœã¡ããœãLv.68äºä»¶ã¯çããªã; fact3 & assump1 -> int1: ãœãªãœãLv.89äºä»¶ãçãã; int1 & fact1 -> int2: å£ç
©ããšããããšãèµ·ãã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> {C} fact2: ({C} & {B}) -> ¬{A} fact3: ¬{A} -> {B} fact4: ¬{C} fact5: {IP} fact6: ¬{DC} fact7: ¬{G} -> {GG} ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: ¬{A}; fact3 & assump1 -> int1: {B}; int1 & fact1 -> int2: {C}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | 溶çããããšã¯èµ·ãããªã | ¬{B} | fact1: çæ°ãããšããããšã¯æº¶çããããšã¯çããªããšããããšãåé¿ãã fact2: ããã¿ãã¿ã®Lv.79äºä»¶ãçãããªããè³¢ãããšããããšã¯çºçããªãããã¡ããã¡ã
Lv.94äºä»¶ãçºçããããšããããšã¯æ¬åœã§ãªã fact3: è³¢ãããšããããšã¯çºçããªããŠãã¡ããã¡ã
Lv.94äºä»¶ãçºçãã fact4: ã¿ãã¿ã®Lv.79äºä»¶ãèµ·ããªããšããããšã¯æº¶çããããšã¯èµ·ããªããšããããšãçãããã | fact1: {C} -> {B} fact2: {A} -> ¬(¬{AA} & {AB}) fact3: (¬{AA} & {AB}) fact4: ¬{A} -> ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã¿ãã¿ã®Lv.79äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ; fact2 & assump1 -> int1: ãè³¢ãããšããããšã§ã¯ãªããã¡ããã¡ã
Lv.94äºä»¶ãèµ·ããããšããããšã¯åœã§ãã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã¿ãã¿ã®Lv.79äºä»¶ã¯çºçããªã; int3 & fact4 -> hypothesis;"
] | [
"void -> assump1: {A}; fact2 & assump1 -> int1: ¬(¬{AA} & {AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact4 -> hypothesis;"
] | ãœã«ãœã«ãLv.69äºä»¶ã§ã¯ãªããŠãŽããŽã«Lv.13äºä»¶ãèµ·ãã | (¬{DE} & {EU}) | [] | 6 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: çæ°ãããšããããšã¯æº¶çããããšã¯çããªããšããããšãåé¿ãã fact2: ããã¿ãã¿ã®Lv.79äºä»¶ãçãããªããè³¢ãããšããããšã¯çºçããªãããã¡ããã¡ã
Lv.94äºä»¶ãçºçããããšããããšã¯æ¬åœã§ãªã fact3: è³¢ãããšããããšã¯çºçããªããŠãã¡ããã¡ã
Lv.94äºä»¶ãçºçãã fact4: ã¿ãã¿ã®Lv.79äºä»¶ãèµ·ããªããšããããšã¯æº¶çããããšã¯èµ·ããªããšããããšãçãããã ; $hypothesis$ = 溶çããããšã¯èµ·ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã¿ãã¿ã®Lv.79äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ; fact2 & assump1 -> int1: ãè³¢ãããšããããšã§ã¯ãªããã¡ããã¡ã
Lv.94äºä»¶ãèµ·ããããšããããšã¯åœã§ãã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã¿ãã¿ã®Lv.79äºä»¶ã¯çºçããªã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} -> {B} fact2: {A} -> ¬(¬{AA} & {AB}) fact3: (¬{AA} & {AB}) fact4: ¬{A} -> ¬{B} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {A}; fact2 & assump1 -> int1: ¬(¬{AA} & {AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã¡ããŽã®Lv.50ã¯è»œããšããããšã¯ãªã | ¬{B}{aa} | fact1: ãã®ããããLv.34ã掻åãé£ããªããšãããšãã®ããããLv.34ã¯èªåããããããŸãã«å£å§ãã fact2: ä»®ã«ãã®ããããLv.34ãæ¢ãç¡ããªãäžæ¹ã§ãããè
¹é»ããšãããšãã®ãŽã¡ããŽã®Lv.50ã¯è
¹é»ã fact3: ããããã®ããããLv.34ãæ¢ãç¡ãããããã¯ãããå£å§ãããªããã®ãŽã¡ããŽã®Lv.50ã¯æ¢ãç¡ããªã fact4: ä»®ã«ããã®ãŽã¡ããŽã®Lv.50ã¯å°€ãããããšããããšã¯ãªããèªãåãããšããããšã¯èª€ããªãããã¯è»œããªã fact5: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯è
¹é»ããªããå°€ãããããªããèªãåãããšããããšã¯æãç«ããªã fact6: ãã®ããããLv.34ã¯æ¢ãç¡ããªããã©è
¹é»ã fact7: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æ¢ãç¡ããšããããšã¯ãªããªãã°ãããã¯ä¹ãæããªããŠãããè
¹é»ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãããšããããšã¯ãªã | fact1: ¬{G}{a} -> ({E}{a} & {F}{a}) fact2: (¬{D}{a} & {A}{a}) -> {A}{aa} fact3: ({D}{a} v {F}{a}) -> ¬{D}{aa} fact4: ¬(¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact5: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact6: (¬{D}{a} & {A}{a}) fact7: (x): ¬{D}x -> ¬(¬{C}x & ¬{A}x) | [
"fact5 -> int1: ä»®ã«ãã®ãŽã¡ããŽã®Lv.50ã¯è
¹é»ããªãããã®ãŽã¡ããŽã®Lv.50ã¯å°€ãããããªãäžæ¹ã§ããã¯èªãåãããšããããšã¯æãç«ããªã; fact6 & fact2 -> int2: ãã®ãŽã¡ããŽã®Lv.50ã¯è
¹é»ã; int1 & int2 -> int3: ããã®ãŽã¡ããŽã®Lv.50ã¯å°€ãããããªããã©èªãåãããšããããšã¯èª€ãã§ãã; int3 & fact4 -> hypothesis;"
] | [
"fact5 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); fact6 & fact2 -> int2: {A}{aa}; int1 & int2 -> int3: ¬(¬{AA}{aa} & {AB}{aa}); int3 & fact4 -> hypothesis;"
] | ãã®ãŽã¡ããŽã®Lv.50ã¯è»œã | {B}{aa} | [
"fact9 -> int4: ããä»®ã«ãã®ãŽã¡ããŽã®Lv.50ã¯æ¢ãç¡ããšããããšã¯ãªããšããã°ãããã¯ä¹ãæããªããŠããã¯è
¹é»ããªãããšããããšã¯åœã ;"
] | 6 | 4 | 3 | 4 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ããããLv.34ã掻åãé£ããªããšãããšãã®ããããLv.34ã¯èªåããããããŸãã«å£å§ãã fact2: ä»®ã«ãã®ããããLv.34ãæ¢ãç¡ããªãäžæ¹ã§ãããè
¹é»ããšãããšãã®ãŽã¡ããŽã®Lv.50ã¯è
¹é»ã fact3: ããããã®ããããLv.34ãæ¢ãç¡ãããããã¯ãããå£å§ãããªããã®ãŽã¡ããŽã®Lv.50ã¯æ¢ãç¡ããªã fact4: ä»®ã«ããã®ãŽã¡ããŽã®Lv.50ã¯å°€ãããããšããããšã¯ãªããèªãåãããšããããšã¯èª€ããªãããã¯è»œããªã fact5: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯è
¹é»ããªããå°€ãããããªããèªãåãããšããããšã¯æãç«ããªã fact6: ãã®ããããLv.34ã¯æ¢ãç¡ããªããã©è
¹é»ã fact7: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æ¢ãç¡ããšããããšã¯ãªããªãã°ãããã¯ä¹ãæããªããŠãããè
¹é»ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽã¡ããŽã®Lv.50ã¯è»œããšããããšã¯ãªã ; $proof$ = | fact5 -> int1: ä»®ã«ãã®ãŽã¡ããŽã®Lv.50ã¯è
¹é»ããªãããã®ãŽã¡ããŽã®Lv.50ã¯å°€ãããããªãäžæ¹ã§ããã¯èªãåãããšããããšã¯æãç«ããªã; fact6 & fact2 -> int2: ãã®ãŽã¡ããŽã®Lv.50ã¯è
¹é»ã; int1 & int2 -> int3: ããã®ãŽã¡ããŽã®Lv.50ã¯å°€ãããããªããã©èªãåãããšããããšã¯èª€ãã§ãã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{G}{a} -> ({E}{a} & {F}{a}) fact2: (¬{D}{a} & {A}{a}) -> {A}{aa} fact3: ({D}{a} v {F}{a}) -> ¬{D}{aa} fact4: ¬(¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact5: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact6: (¬{D}{a} & {A}{a}) fact7: (x): ¬{D}x -> ¬(¬{C}x & ¬{A}x) ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact5 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); fact6 & fact2 -> int2: {A}{aa}; int1 & int2 -> int3: ¬(¬{AA}{aa} & {AB}{aa}); int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.18ã¯åæ ããæã | {F}{c} | fact1: ãã®ã·ãã·ãLv.47ã¯äœæ°ç¡ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã解æ¶ããããã®äžäœæ°ç¡ããšãããšãã®ã·ã¡ã
ã·ã®Lv.71ã¯å£ãããŸãªã fact3: ãã®ã·ãã·ãLv.47ãåæ ããæãäžæ¹ã§äœæ°ç¡ããªããªãã°ããã®ãŽããŽãLv.18ã¯åæ ããæããªãããšããããšã¯æ£ãã fact4: ããããã®ã·ã¡ã
ã·ã®Lv.71ã¯æªããšããããšã¯ãªããããã¯äœããªãããšããããšã¯æãç«ããªããšããã°ãã®ãŽããŽãLv.18ã¯åæ ããæã fact5: ãã®ãŸããŸãªLv.58ã¯å£ããã fact6: ãã®ã·ãã·ãLv.47ã¯è§£æ¶ãã fact7: ä»®ã«ãã®ã·ã¡ã
ã·ã®Lv.71ã¯å£ãããŸãªããªãããã®ã·ã¡ã
ã·ã®Lv.71ã¯æªããªããŠäœããªãããšããããšã¯èª€ãã§ãã | fact1: {B}{a} fact2: (x): ({A}x & {B}x) -> ¬{C}{b} fact3: ({F}{a} & ¬{B}{a}) -> ¬{F}{c} fact4: ¬(¬{E}{b} & ¬{D}{b}) -> {F}{c} fact5: {C}{gs} fact6: {A}{a} fact7: ¬{C}{b} -> ¬(¬{E}{b} & ¬{D}{b}) | [
"fact6 & fact1 -> int1: ãã®ã·ãã·ãLv.47ã¯è§£æ¶ããããã€ããã¯äœæ°ç¡ã; int1 -> int2: äœããã®ã¢ã³ã¹ã¿ãŒã¯è§£æ¶ãããããŸãã«äœæ°ç¡ã; int2 & fact2 -> int3: ããã®ã·ã¡ã
ã·ã®Lv.71ã¯å£ãããŸãªãããšããããšã¯ééãã§ãããšããããšã¯ãªã; int3 & fact7 -> int4: ããã®ã·ã¡ã
ã·ã®Lv.71ã¯æªããªããŠãŸãäœããªãããšããããšã¯æãç«ããªã; int4 & fact4 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact2 -> int3: ¬{C}{b}; int3 & fact7 -> int4: ¬(¬{E}{b} & ¬{D}{b}); int4 & fact4 -> hypothesis;"
] | ãã®ãŽããŽãLv.18ã¯åæ ããæããªã | ¬{F}{c} | [] | 5 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ãLv.47ã¯äœæ°ç¡ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã解æ¶ããããã®äžäœæ°ç¡ããšãããšãã®ã·ã¡ã
ã·ã®Lv.71ã¯å£ãããŸãªã fact3: ãã®ã·ãã·ãLv.47ãåæ ããæãäžæ¹ã§äœæ°ç¡ããªããªãã°ããã®ãŽããŽãLv.18ã¯åæ ããæããªãããšããããšã¯æ£ãã fact4: ããããã®ã·ã¡ã
ã·ã®Lv.71ã¯æªããšããããšã¯ãªããããã¯äœããªãããšããããšã¯æãç«ããªããšããã°ãã®ãŽããŽãLv.18ã¯åæ ããæã fact5: ãã®ãŸããŸãªLv.58ã¯å£ããã fact6: ãã®ã·ãã·ãLv.47ã¯è§£æ¶ãã fact7: ä»®ã«ãã®ã·ã¡ã
ã·ã®Lv.71ã¯å£ãããŸãªããªãããã®ã·ã¡ã
ã·ã®Lv.71ã¯æªããªããŠäœããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãã®ãŽããŽãLv.18ã¯åæ ããæã ; $proof$ = | fact6 & fact1 -> int1: ãã®ã·ãã·ãLv.47ã¯è§£æ¶ããããã€ããã¯äœæ°ç¡ã; int1 -> int2: äœããã®ã¢ã³ã¹ã¿ãŒã¯è§£æ¶ãããããŸãã«äœæ°ç¡ã; int2 & fact2 -> int3: ããã®ã·ã¡ã
ã·ã®Lv.71ã¯å£ãããŸãªãããšããããšã¯ééãã§ãããšããããšã¯ãªã; int3 & fact7 -> int4: ããã®ã·ã¡ã
ã·ã®Lv.71ã¯æªããªããŠãŸãäœããªãããšããããšã¯æãç«ããªã; int4 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: (x): ({A}x & {B}x) -> ¬{C}{b} fact3: ({F}{a} & ¬{B}{a}) -> ¬{F}{c} fact4: ¬(¬{E}{b} & ¬{D}{b}) -> {F}{c} fact5: {C}{gs} fact6: {A}{a} fact7: ¬{C}{b} -> ¬(¬{E}{b} & ¬{D}{b}) ; $hypothesis$ = {F}{c} ; $proof$ = | fact6 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact2 -> int3: ¬{C}{b}; int3 & fact7 -> int4: ¬(¬{E}{b} & ¬{D}{b}); int4 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãæ°ä»ãé£ããšããããšã§ã¯ãªãæã£åãæ©ããšããããšãçããããšããããšã¯åé«ããšããããšã¯çºçããªããšããããšãåå ã§ãã | ¬{A} -> (¬{B} & {C}) | fact1: æ°ä»ãé£ããšããããšã¯èµ·ããªããšããããšã¯ãåé«ããšããããšã¯çããªãããšããããšã«ããçãã fact2: ããä»®ã«åé«ããšããããšãèµ·ãããšãããæ°ä»ãé£ããšããããšã§ã¯ãªãæã£åãæ©ããšããããšãèµ·ãã fact3: æã£åãæ©ããšããããšãèµ·ãã | fact1: ¬{A} -> ¬{B} fact2: {A} -> (¬{B} & {C}) fact3: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããåé«ããšããããšã¯çããªã; fact1 & assump1 -> int1: æ°ä»ãé£ããšããããšã¯èµ·ãããªã; int1 & fact3 -> int2: æ°ä»ãé£ããšããããšã¯èµ·ãããªãããã©æã£åãæ©ããšããããšãçãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact1 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: (¬{B} & {C}); [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: æ°ä»ãé£ããšããããšã¯èµ·ããªããšããããšã¯ãåé«ããšããããšã¯çããªãããšããããšã«ããçãã fact2: ããä»®ã«åé«ããšããããšãèµ·ãããšãããæ°ä»ãé£ããšããããšã§ã¯ãªãæã£åãæ©ããšããããšãèµ·ãã fact3: æã£åãæ©ããšããããšãèµ·ãã ; $hypothesis$ = ãæ°ä»ãé£ããšããããšã§ã¯ãªãæã£åãæ©ããšããããšãçããããšããããšã¯åé«ããšããããšã¯çºçããªããšããããšãåå ã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããåé«ããšããããšã¯çããªã; fact1 & assump1 -> int1: æ°ä»ãé£ããšããããšã¯èµ·ãããªã; int1 & fact3 -> int2: æ°ä»ãé£ããšããããšã¯èµ·ãããªãããã©æã£åãæ©ããšããããšãçãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬{B} fact2: {A} -> (¬{B} & {C}) fact3: {C} ; $hypothesis$ = ¬{A} -> (¬{B} & {C}) ; $proof$ = | void -> assump1: ¬{A}; fact1 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: (¬{B} & {C}); [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | é
ãæããšããããšã¯çããªã | ¬{E} | fact1: é
ãæããšããããšã¯æ¹¿æ°ãããšããããã¯ããªãã¡ãLv.89äºä»¶ã«é»ãŸãã fact2: ç
©ããšããããšã¯çããªã fact3: ããªãã¡ãLv.89äºä»¶ã¯èµ·ãããªããšããããšã¯åŽ©ãæããšããããšã«é»æ¢ããã fact4: é¢æ ãããšããããšã¯ããªãã¡ãLv.89äºä»¶ã¯èµ·ãããªããšããããšãé²ã fact5: ãããç
©ããšããããšã¯çããªããšãããšåŽ©ãæããšããããšãçãããé¢æ ãããšããããšãèµ·ããããŸãã¯äž¡æ¹ã | fact1: ({D} v {C}) -> ¬{E} fact2: ¬{F} fact3: {A} -> {C} fact4: {B} -> {C} fact5: ¬{F} -> ({A} v {B}) | [
"fact2 & fact5 -> int1: 厩ãæããšããããšãé¢æ ãããšããããšãçãã; int1 & fact3 & fact4 -> int2: ããªãã¡ãLv.89äºä»¶ãèµ·ãã; int2 -> int3: 湿æ°ãããšããããã¯ããªãã¡ãLv.89äºä»¶ããããã¯äž¡æ¹ãšããèµ·ãã; int3 & fact1 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: ({A} v {B}); int1 & fact3 & fact4 -> int2: {C}; int2 -> int3: ({D} v {C}); int3 & fact1 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: é
ãæããšããããšã¯æ¹¿æ°ãããšããããã¯ããªãã¡ãLv.89äºä»¶ã«é»ãŸãã fact2: ç
©ããšããããšã¯çããªã fact3: ããªãã¡ãLv.89äºä»¶ã¯èµ·ãããªããšããããšã¯åŽ©ãæããšããããšã«é»æ¢ããã fact4: é¢æ ãããšããããšã¯ããªãã¡ãLv.89äºä»¶ã¯èµ·ãããªããšããããšãé²ã fact5: ãããç
©ããšããããšã¯çããªããšãããšåŽ©ãæããšããããšãçãããé¢æ ãããšããããšãèµ·ããããŸãã¯äž¡æ¹ã ; $hypothesis$ = é
ãæããšããããšã¯çããªã ; $proof$ = | fact2 & fact5 -> int1: 厩ãæããšããããšãé¢æ ãããšããããšãçãã; int1 & fact3 & fact4 -> int2: ããªãã¡ãLv.89äºä»¶ãèµ·ãã; int2 -> int3: 湿æ°ãããšããããã¯ããªãã¡ãLv.89äºä»¶ããããã¯äž¡æ¹ãšããèµ·ãã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({D} v {C}) -> ¬{E} fact2: ¬{F} fact3: {A} -> {C} fact4: {B} -> {C} fact5: ¬{F} -> ({A} v {B}) ; $hypothesis$ = ¬{E} ; $proof$ = | fact2 & fact5 -> int1: ({A} v {B}); int1 & fact3 & fact4 -> int2: {C}; int2 -> int3: ({D} v {C}); int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ã埡åªãããšããããšã¯ã·ã«ã
ã·ã«ãLv.90äºä»¶ãé²ãããšããããšã¯çå®ã§ãªã | ¬({A} -> ¬{C}) | fact1: é¿ãé£ããšããããšãèµ·ãã fact2: 埡åªãããšããããšã¯ã·ã«ã
ã·ã«ãLv.90äºä»¶ãåŒãèµ·ãã fact3: ä»®ã«ãœã«ããœã«ãLv.83äºä»¶ãèµ·ãããããããšããããšãèµ·ãããšããããŸããŸã¡ãLv.95äºä»¶ãçãã fact4: å€ããšããããšãèµ·ããããœã«ããœãªLv.70äºä»¶ãçãã fact5: ãœã¡ããœã¡ãLv.11äºä»¶ã¯èµ·ããªã fact6: ä»®ã«åŸ¡åªãããšããããšãšã¿ã«ãã¿ãLv.63äºä»¶ã©ã¡ãããçºçãããªãã·ã«ã
ã·ã«ãLv.90äºä»¶ã¯çºçããªã | fact1: {BA} fact2: {A} -> {C} fact3: ({T} & {AP}) -> {EJ} fact4: ({IF} & {O}) fact5: ¬{ED} fact6: ({A} & {B}) -> ¬{C} | [] | [] | null | null | [] | null | 4 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: é¿ãé£ããšããããšãèµ·ãã fact2: 埡åªãããšããããšã¯ã·ã«ã
ã·ã«ãLv.90äºä»¶ãåŒãèµ·ãã fact3: ä»®ã«ãœã«ããœã«ãLv.83äºä»¶ãèµ·ãããããããšããããšãèµ·ãããšããããŸããŸã¡ãLv.95äºä»¶ãçãã fact4: å€ããšããããšãèµ·ããããœã«ããœãªLv.70äºä»¶ãçãã fact5: ãœã¡ããœã¡ãLv.11äºä»¶ã¯èµ·ããªã fact6: ä»®ã«åŸ¡åªãããšããããšãšã¿ã«ãã¿ãLv.63äºä»¶ã©ã¡ãããçºçãããªãã·ã«ã
ã·ã«ãLv.90äºä»¶ã¯çºçããªã ; $hypothesis$ = ã埡åªãããšããããšã¯ã·ã«ã
ã·ã«ãLv.90äºä»¶ãé²ãããšããããšã¯çå®ã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {BA} fact2: {A} -> {C} fact3: ({T} & {AP}) -> {EJ} fact4: ({IF} & {O}) fact5: ¬{ED} fact6: ({A} & {B}) -> ¬{C} ; $hypothesis$ = ¬({A} -> ¬{C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽããŽã¡ã
Lv.90ã¯å³å€ªããªãããšããããšã¯æãç«ã€ | ¬{D}{a} | fact1: ãããã®ãŽããŽã¡ã
Lv.90ãæ
ãŸãããŠãŸã圌ããããšããããã®ãŽããŽã¡ã
Lv.90ã¯å³å€ªããªã fact2: ãã®ãŽããŽã¡ã
Lv.90ã¯åœŒããã fact3: ãã®ãŽããŽã¡ã
Lv.90ã¯åãé£ããªã | fact1: ({A}{a} & {C}{a}) -> ¬{D}{a} fact2: {C}{a} fact3: ¬{E}{a} | [] | [] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãŽããŽã¡ã
Lv.90ãæ
ãŸãããŠãŸã圌ããããšããããã®ãŽããŽã¡ã
Lv.90ã¯å³å€ªããªã fact2: ãã®ãŽããŽã¡ã
Lv.90ã¯åœŒããã fact3: ãã®ãŽããŽã¡ã
Lv.90ã¯åãé£ããªã ; $hypothesis$ = ããã®ãŽããŽã¡ã
Lv.90ã¯å³å€ªããªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {C}{a}) -> ¬{D}{a} fact2: {C}{a} fact3: ¬{E}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœããœã¡ãLv.6ã¯åããæããã©ããããŸãããªãããšããããšã¯ééã£ãŠãã | ¬({D}{b} & ¬{F}{b}) | fact1: ããããã®ã¿ãã¿ã®Lv.48ãç±ããªãåããæããªã fact2: ããã®ã¿ã«ã¿ã«Lv.6ã¯ããããŸãããªãããšããããšã¯æãç«ããªã fact3: ãã®ã¿ãã¿ã®Lv.48ã¯åããæããªããªãããã®ãœããœã¡ãLv.6ã¯åããæããŠãŸãããããŸããããšããããšã¯èª€ã£ãŠãã fact4: ããä»®ã«ãã®ã¿ãã¿ã®Lv.48ãããããŸããããããã¯ç±ãããããã¯ã©ã¡ãããªãã°åããæããªã fact5: ä»®ã«ãã®ã¿ãã¿ã®Lv.48ã¯åããæããšããããšã¯ãªããšãããããã®ãœããœã¡ãLv.6ã¯åããæããããããŸãããªãããšããããšã¯èª€ãã fact6: ãã®ã¿ãã¿ã®Lv.48ã¯ç±ãæããããã«ããããŸãã | fact1: {C}{a} -> ¬{D}{a} fact2: {F}{ft} fact3: ¬{D}{a} -> ¬({D}{b} & {F}{b}) fact4: ({B}{a} v {C}{a}) -> ¬{D}{a} fact5: ¬{D}{a} -> ¬({D}{b} & ¬{F}{b}) fact6: ({A}{a} & {B}{a}) | [
"fact6 -> int1: ãã®ã¿ãã¿ã®Lv.48ã¯ããããŸãã; int1 -> int2: ãã®ã¿ãã¿ã®Lv.48ã¯ããããŸããããããã¯ç±ã; int2 & fact4 -> int3: ãã®ã¿ãã¿ã®Lv.48ã¯åããæããšããããšã¯ãªã; int3 & fact5 -> hypothesis;"
] | [
"fact6 -> int1: {B}{a}; int1 -> int2: ({B}{a} v {C}{a}); int2 & fact4 -> int3: ¬{D}{a}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã®ã¿ãã¿ã®Lv.48ãç±ããªãåããæããªã fact2: ããã®ã¿ã«ã¿ã«Lv.6ã¯ããããŸãããªãããšããããšã¯æãç«ããªã fact3: ãã®ã¿ãã¿ã®Lv.48ã¯åããæããªããªãããã®ãœããœã¡ãLv.6ã¯åããæããŠãŸãããããŸããããšããããšã¯èª€ã£ãŠãã fact4: ããä»®ã«ãã®ã¿ãã¿ã®Lv.48ãããããŸããããããã¯ç±ãããããã¯ã©ã¡ãããªãã°åããæããªã fact5: ä»®ã«ãã®ã¿ãã¿ã®Lv.48ã¯åããæããšããããšã¯ãªããšãããããã®ãœããœã¡ãLv.6ã¯åããæããããããŸãããªãããšããããšã¯èª€ãã fact6: ãã®ã¿ãã¿ã®Lv.48ã¯ç±ãæããããã«ããããŸãã ; $hypothesis$ = ããã®ãœããœã¡ãLv.6ã¯åããæããã©ããããŸãããªãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact6 -> int1: ãã®ã¿ãã¿ã®Lv.48ã¯ããããŸãã; int1 -> int2: ãã®ã¿ãã¿ã®Lv.48ã¯ããããŸããããããã¯ç±ã; int2 & fact4 -> int3: ãã®ã¿ãã¿ã®Lv.48ã¯åããæããšããããšã¯ãªã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} -> ¬{D}{a} fact2: {F}{ft} fact3: ¬{D}{a} -> ¬({D}{b} & {F}{b}) fact4: ({B}{a} v {C}{a}) -> ¬{D}{a} fact5: ¬{D}{a} -> ¬({D}{b} & ¬{F}{b}) fact6: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬({D}{b} & ¬{F}{b}) ; $proof$ = | fact6 -> int1: {B}{a}; int1 -> int2: ({B}{a} v {C}{a}); int2 & fact4 -> int3: ¬{D}{a}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããã«ãããLv.6äºä»¶ãšãŽã¡ããŽãªLv.49äºä»¶ãçããããšããããšã¯åã§ãã | ¬({C} & {B}) | fact1: ä»®ã«åããŸãããšããããšã¯èµ·ããªããšãããšããœãªãœãLv.45äºä»¶ãèµ·ããããŸã«ãŸãLv.63äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãæž
ããšããããšãçããããœã¡ããœã«Lv.1äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact3: ç±ã
ãããšããããšã¯çããªããšããããšã¯é»è²ããšããããšãèµ·ãããšããããšã«ãããããã fact4: ãã°ããããšããããšãçãã fact5: 现ããšããããšã¯èµ·ãããªã fact6: ããœãªãœãLv.45äºä»¶ãèµ·ããããŸã«ãŸãLv.63äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã ãšããããŽã¡ããŽãªLv.49äºä»¶ãçºçãã fact7: ãã«ãããLv.6äºä»¶ãèµ·ãã fact8: ãã°ããããšããããšã¯åããŸãããšããããšãåé¿ãã | fact1: ¬{A} -> ¬({AA} & ¬{AB}) fact2: ¬({N} & ¬{BK}) fact3: {BR} -> ¬{IB} fact4: {D} fact5: ¬{EK} fact6: ¬({AA} & ¬{AB}) -> {B} fact7: {C} fact8: {D} -> ¬{A} | [
"fact8 & fact4 -> int1: åããŸãããšããããšã¯èµ·ãããªã; fact1 & int1 -> int2: ããœãªãœãLv.45äºä»¶ãèµ·ããäžæ¹ã§ãŸã«ãŸãLv.63äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªã; int2 & fact6 -> int3: ãŽã¡ããŽãªLv.49äºä»¶ãçºçãã; int3 & fact7 -> hypothesis;"
] | [
"fact8 & fact4 -> int1: ¬{A}; fact1 & int1 -> int2: ¬({AA} & ¬{AB}); int2 & fact6 -> int3: {B}; int3 & fact7 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«åããŸãããšããããšã¯èµ·ããªããšãããšããœãªãœãLv.45äºä»¶ãèµ·ããããŸã«ãŸãLv.63äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãæž
ããšããããšãçããããœã¡ããœã«Lv.1äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact3: ç±ã
ãããšããããšã¯çããªããšããããšã¯é»è²ããšããããšãèµ·ãããšããããšã«ãããããã fact4: ãã°ããããšããããšãçãã fact5: 现ããšããããšã¯èµ·ãããªã fact6: ããœãªãœãLv.45äºä»¶ãèµ·ããããŸã«ãŸãLv.63äºä»¶ã¯çºçããªãããšããããšã¯èª€ãã ãšããããŽã¡ããŽãªLv.49äºä»¶ãçºçãã fact7: ãã«ãããLv.6äºä»¶ãèµ·ãã fact8: ãã°ããããšããããšã¯åããŸãããšããããšãåé¿ãã ; $hypothesis$ = ããã«ãããLv.6äºä»¶ãšãŽã¡ããŽãªLv.49äºä»¶ãçããããšããããšã¯åã§ãã ; $proof$ = | fact8 & fact4 -> int1: åããŸãããšããããšã¯èµ·ãããªã; fact1 & int1 -> int2: ããœãªãœãLv.45äºä»¶ãèµ·ããäžæ¹ã§ãŸã«ãŸãLv.63äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªã; int2 & fact6 -> int3: ãŽã¡ããŽãªLv.49äºä»¶ãçºçãã; int3 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A} -> ¬({AA} & ¬{AB}) fact2: ¬({N} & ¬{BK}) fact3: {BR} -> ¬{IB} fact4: {D} fact5: ¬{EK} fact6: ¬({AA} & ¬{AB}) -> {B} fact7: {C} fact8: {D} -> ¬{A} ; $hypothesis$ = ¬({C} & {B}) ; $proof$ = | fact8 & fact4 -> int1: ¬{A}; fact1 & int1 -> int2: ¬({AA} & ¬{AB}); int2 & fact6 -> int3: {B}; int3 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãœã«ãœã«Lv.36äºä»¶ã¯èµ·ããªã | ¬{D} | fact1: 倧ãããšããããšãèµ·ãã fact2: èŠé£ããšããããšãçãã fact3: ããœã«ãœã«Lv.36äºä»¶ã¯çããªãããšããããšã¯ãŸããŸã¡ãLv.54äºä»¶ã¯èµ·ãããªããšããããšã«èªçºããã fact4: ç¡ããšããããšã¯ãèŠé£ããšããããšãçºçããã倧ãããšããããšãèµ·ããããšããããšã«é²ããã fact5: ãããç¡ããšããããšã¯èµ·ãããªããšããã°ç¡ããšããããšã¯çããªããŠããããŸããŸã¡ãLv.54äºä»¶ã¯èµ·ããªã | fact1: {B} fact2: {A} fact3: ¬{E} -> ¬{D} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{C} -> (¬{C} & ¬{E}) | [
"fact2 & fact1 -> int1: èŠé£ããšããããšãçãããæŽã«å€§ãããšããããšãèµ·ãã; int1 & fact4 -> int2: ç¡ããšããããšã¯çºçããªã; int2 & fact5 -> int3: ãç¡ããšããããšã¯èµ·ããªãããã€ãŸããŸã¡ãLv.54äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€; int3 -> int4: ãŸããŸã¡ãLv.54äºä»¶ã¯èµ·ããªã; int4 & fact3 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact5 -> int3: (¬{C} & ¬{E}); int3 -> int4: ¬{E}; int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: 倧ãããšããããšãèµ·ãã fact2: èŠé£ããšããããšãçãã fact3: ããœã«ãœã«Lv.36äºä»¶ã¯çããªãããšããããšã¯ãŸããŸã¡ãLv.54äºä»¶ã¯èµ·ãããªããšããããšã«èªçºããã fact4: ç¡ããšããããšã¯ãèŠé£ããšããããšãçºçããã倧ãããšããããšãèµ·ããããšããããšã«é²ããã fact5: ãããç¡ããšããããšã¯èµ·ãããªããšããã°ç¡ããšããããšã¯çããªããŠããããŸããŸã¡ãLv.54äºä»¶ã¯èµ·ããªã ; $hypothesis$ = ãœã«ãœã«Lv.36äºä»¶ã¯èµ·ããªã ; $proof$ = | fact2 & fact1 -> int1: èŠé£ããšããããšãçãããæŽã«å€§ãããšããããšãèµ·ãã; int1 & fact4 -> int2: ç¡ããšããããšã¯çºçããªã; int2 & fact5 -> int3: ãç¡ããšããããšã¯èµ·ããªãããã€ãŸããŸã¡ãLv.54äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€; int3 -> int4: ãŸããŸã¡ãLv.54äºä»¶ã¯èµ·ããªã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: {A} fact3: ¬{E} -> ¬{D} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{C} -> (¬{C} & ¬{E}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact2 & fact1 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact5 -> int3: (¬{C} & ¬{E}); int3 -> int4: ¬{E}; int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãããæŽã«ããã¯åããããšããããšã¯äºå®ãšç°ãªã | ¬({D}{c} & {E}{c}) | fact1: ãã®ãœã¡ã
ãœã¡ãLv.30ã¯åãã fact2: ä»®ã«ãã®ãŽããŽãLv.19ãéžæããšããããšã¯ãªããšãããšãã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãã fact3: ä»®ã«ããã®ãŸã¡ã
ãŸã«ãLv.21ã¯ãããªããªãããã€ããã¯èµ€ã£ãœããªãããšããããšã¯äºå®ã§ãããšããããšã¯ãªããªãã°ããã¯é£ã fact4: æãããããªãã¢ã³ã¹ã¿ãŒã¯æ¯é
ããªã fact5: ããã®ãŸã¡ã
ãŸã«ãLv.21ã¯ãããªããªãäžæ¹ã§èµ€ã£ãœãããšããããšã¯æãç«ããªã fact6: ããããã®ãŸã¡ã
ãŸã«ãLv.21ãé£ããšããããã®ãŽããŽãLv.19ã¯æããããããããã¯ããã¯é£ããªã fact7: ãã®ãŽããŽãLv.19ãæããããããããé£ããªããšããã°éžæãããªã fact8: ããã®ãŸã¡ã
ãŸã«ãLv.21ã¯ãããªããªããæŽã«èµ€ã£ãœããªãããšããããšã¯æãç«ããªã | fact1: {E}{c} fact2: ¬{C}{b} -> {D}{c} fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact4: (x): ¬{A}x -> ¬{D}x fact5: ¬(¬{AA}{a} & {AB}{a}) fact6: {B}{a} -> ({A}{b} v ¬{B}{b}) fact7: ({A}{b} v ¬{B}{b}) -> ¬{C}{b} fact8: ¬(¬{AA}{a} & ¬{AB}{a}) | [
"fact3 & fact8 -> int1: ãã®ãŸã¡ã
ãŸã«ãLv.21ã¯é£ã; int1 & fact6 -> int2: ããã®ãŽããŽãLv.19ã¯æãããããé£ããªãããšããããšã¯æ£ãã; int2 & fact7 -> int3: ãã®ãŽããŽãLv.19ã¯éžæããšããããšã¯ãªã; int3 & fact2 -> int4: ãã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãã; int4 & fact1 -> hypothesis;"
] | [
"fact3 & fact8 -> int1: {B}{a}; int1 & fact6 -> int2: ({A}{b} v ¬{B}{b}); int2 & fact7 -> int3: ¬{C}{b}; int3 & fact2 -> int4: {D}{c}; int4 & fact1 -> hypothesis;"
] | ããã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãããæŽã«ããã¯åããããšããããšã¯äºå®ãšç°ãªã | ¬({D}{c} & {E}{c}) | [
"fact9 -> int5: ããããã®ãŸã¡ã
ãŸã«ãLv.21ãæãããããªããªãæ¯é
ããªã;"
] | 5 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã¡ã
ãœã¡ãLv.30ã¯åãã fact2: ä»®ã«ãã®ãŽããŽãLv.19ãéžæããšããããšã¯ãªããšãããšãã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãã fact3: ä»®ã«ããã®ãŸã¡ã
ãŸã«ãLv.21ã¯ãããªããªãããã€ããã¯èµ€ã£ãœããªãããšããããšã¯äºå®ã§ãããšããããšã¯ãªããªãã°ããã¯é£ã fact4: æãããããªãã¢ã³ã¹ã¿ãŒã¯æ¯é
ããªã fact5: ããã®ãŸã¡ã
ãŸã«ãLv.21ã¯ãããªããªãäžæ¹ã§èµ€ã£ãœãããšããããšã¯æãç«ããªã fact6: ããããã®ãŸã¡ã
ãŸã«ãLv.21ãé£ããšããããã®ãŽããŽãLv.19ã¯æããããããããã¯ããã¯é£ããªã fact7: ãã®ãŽããŽãLv.19ãæããããããããé£ããªããšããã°éžæãããªã fact8: ããã®ãŸã¡ã
ãŸã«ãLv.21ã¯ãããªããªããæŽã«èµ€ã£ãœããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ããã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãããæŽã«ããã¯åããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact3 & fact8 -> int1: ãã®ãŸã¡ã
ãŸã«ãLv.21ã¯é£ã; int1 & fact6 -> int2: ããã®ãŽããŽãLv.19ã¯æãããããé£ããªãããšããããšã¯æ£ãã; int2 & fact7 -> int3: ãã®ãŽããŽãLv.19ã¯éžæããšããããšã¯ãªã; int3 & fact2 -> int4: ãã®ãœã¡ã
ãœã¡ãLv.30ã¯æ¯é
ãã; int4 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {E}{c} fact2: ¬{C}{b} -> {D}{c} fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact4: (x): ¬{A}x -> ¬{D}x fact5: ¬(¬{AA}{a} & {AB}{a}) fact6: {B}{a} -> ({A}{b} v ¬{B}{b}) fact7: ({A}{b} v ¬{B}{b}) -> ¬{C}{b} fact8: ¬(¬{AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬({D}{c} & {E}{c}) ; $proof$ = | fact3 & fact8 -> int1: {B}{a}; int1 & fact6 -> int2: ({A}{b} v ¬{B}{b}); int2 & fact7 -> int3: ¬{C}{b}; int3 & fact2 -> int4: {D}{c}; int4 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŸã«ããŸã¡ã
Lv.80ã¯ä»æããªãããšããããšã¯äºå®ã | ¬{C}{a} | fact1: ããããã®ãŸã«ããŸã¡ã
Lv.80ãã©ãããŠè¯ããšãããšãã®ãŸã«ããŸã¡ã
Lv.80ã¯ä»æã fact2: ãã®ã¿ãã¿ã«ãLv.29ã¯ä»æã fact3: ãã®ãŸã«ããŸã¡ã
Lv.80ã¯ã©ãããŠè¯ããããã¯æžã足ã | fact1: {A}{a} -> {C}{a} fact2: {C}{ge} fact3: ({A}{a} & {B}{a}) | [
"fact3 -> int1: ãã®ãŸã«ããŸã¡ã
Lv.80ã¯ã©ãããŠè¯ã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãŸã«ããŸã¡ã
Lv.80ãã©ãããŠè¯ããšãããšãã®ãŸã«ããŸã¡ã
Lv.80ã¯ä»æã fact2: ãã®ã¿ãã¿ã«ãLv.29ã¯ä»æã fact3: ãã®ãŸã«ããŸã¡ã
Lv.80ã¯ã©ãããŠè¯ããããã¯æžã足ã ; $hypothesis$ = ããã®ãŸã«ããŸã¡ã
Lv.80ã¯ä»æããªãããšããããšã¯äºå®ã ; $proof$ = | fact3 -> int1: ãã®ãŸã«ããŸã¡ã
Lv.80ã¯ã©ãããŠè¯ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {C}{a} fact2: {C}{ge} fact3: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã¡ã
Lv.43ã¯åŸ¡æ¥ãããããªããã©æ©ã | (¬{F}{b} & {G}{b}) | fact1: ããã®ãã«ã
ãã«ãLv.36ã¯å€§ããããããéèŠãããªãããšããããšã¯èª€ã£ãŠãã fact2: ãŸã ãã£ããããªãããã®äžåŸ¡æ¥ããããã¢ã³ã¹ã¿ãŒã¯ãã©ããªããªã fact3: ããããã®ãŸããŸã¡ã
Lv.43ããŸã ãã£ããããªããšãããšãã®ãŸããŸã¡ã
Lv.43ã¯åŸ¡æ¥ãããããªãããã©ããã¯æ©ã fact4: ãããããã®ãŸããŸã¡ã
Lv.43ã¯ãã©ããªããªãããšããããšã¯äºå®ã ãšããããã®ãŸããŸã¡ã
Lv.43ã¯ããããããŠããŸãã«åŒ·å¶é£è¡ãã fact5: ããããã®ãã«ã
ãã«ãLv.36ã¯å
¥ãèŸããããã«ããã¯ãããããããšããããšã¯èª€ã£ãŠããã°ããã©ããªããªãããšããããšã¯æãç«ã€ fact6: ããããã®ãã«ã
ãã«ãLv.36ã¯åŒ·å¶é£è¡ããªããšããããå
¥ãèŸãã¢ã³ã¹ã¿ãŒã§ãããããããšããããšã¯äºå®ãšç°ãªã fact7: ããä»®ã«ãã®ãŸããŸã¡ã
Lv.43ãå
¥ãèŸããšããããšã¯ãªããšãããšåŸ¡æ¥ãããããªã fact8: ä»®ã«ããã®ãã«ã
ãã«ãLv.36ã¯å€§ããããã©éèŠãããªãããšããããšã¯ééãã§ãããšãããšåŒ·å¶é£è¡ãããšããããšã¯ãªã fact9: ããä»®ã«ããã®ãã«ã
ãã«ãLv.36ã¯ãã©ããªããªãããšããããšã¯æãç«ã€ãšããããã®ãŸããŸã¡ã
Lv.43ã¯ãŸã ãã£ããããªã | fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: (x): (¬{E}x & {F}x) -> ¬{D}x fact3: ¬{E}{b} -> (¬{F}{b} & {G}{b}) fact4: ¬{D}{b} -> ({A}{b} & {B}{b}) fact5: ¬({C}{a} & {A}{a}) -> ¬{D}{a} fact6: ¬{B}{a} -> ¬({C}{a} & {A}{a}) fact7: ¬{C}{b} -> ¬{F}{b} fact8: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact9: ¬{D}{a} -> ¬{E}{b} | [
"fact8 & fact1 -> int1: ãã®ãã«ã
ãã«ãLv.36ã¯åŒ·å¶é£è¡ããªã; int1 & fact6 -> int2: ããã®ãã«ã
ãã«ãLv.36ã¯å
¥ãèŸããããã«ããã¯ãããããããšããããšã¯æãç«ããªã; int2 & fact5 -> int3: ãã®ãã«ã
ãã«ãLv.36ã¯ãã©ããªããªã; int3 & fact9 -> int4: ãã®ãŸããŸã¡ã
Lv.43ã¯ãŸã ãã£ããããšããããšã¯ãªã; int4 & fact3 -> hypothesis;"
] | [
"fact8 & fact1 -> int1: ¬{B}{a}; int1 & fact6 -> int2: ¬({C}{a} & {A}{a}); int2 & fact5 -> int3: ¬{D}{a}; int3 & fact9 -> int4: ¬{E}{b}; int4 & fact3 -> hypothesis;"
] | ãã®ãŸããŸã¡ã
Lv.43ã¯å
¥ãèŸããªã | ¬{C}{b} | [
"fact11 -> int5: ããããã®ãŸããŸã¡ã
Lv.43ããŸã ãã£ããããªãã¢ã³ã¹ã¿ãŒã§ãã£ãŠãã®äžåŸ¡æ¥ãããããšããã°ãã®ãŸããŸã¡ã
Lv.43ã¯ãã©ããªããªã;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ãã«ã
ãã«ãLv.36ã¯å€§ããããããéèŠãããªãããšããããšã¯èª€ã£ãŠãã fact2: ãŸã ãã£ããããªãããã®äžåŸ¡æ¥ããããã¢ã³ã¹ã¿ãŒã¯ãã©ããªããªã fact3: ããããã®ãŸããŸã¡ã
Lv.43ããŸã ãã£ããããªããšãããšãã®ãŸããŸã¡ã
Lv.43ã¯åŸ¡æ¥ãããããªãããã©ããã¯æ©ã fact4: ãããããã®ãŸããŸã¡ã
Lv.43ã¯ãã©ããªããªãããšããããšã¯äºå®ã ãšããããã®ãŸããŸã¡ã
Lv.43ã¯ããããããŠããŸãã«åŒ·å¶é£è¡ãã fact5: ããããã®ãã«ã
ãã«ãLv.36ã¯å
¥ãèŸããããã«ããã¯ãããããããšããããšã¯èª€ã£ãŠããã°ããã©ããªããªãããšããããšã¯æãç«ã€ fact6: ããããã®ãã«ã
ãã«ãLv.36ã¯åŒ·å¶é£è¡ããªããšããããå
¥ãèŸãã¢ã³ã¹ã¿ãŒã§ãããããããšããããšã¯äºå®ãšç°ãªã fact7: ããä»®ã«ãã®ãŸããŸã¡ã
Lv.43ãå
¥ãèŸããšããããšã¯ãªããšãããšåŸ¡æ¥ãããããªã fact8: ä»®ã«ããã®ãã«ã
ãã«ãLv.36ã¯å€§ããããã©éèŠãããªãããšããããšã¯ééãã§ãããšãããšåŒ·å¶é£è¡ãããšããããšã¯ãªã fact9: ããä»®ã«ããã®ãã«ã
ãã«ãLv.36ã¯ãã©ããªããªãããšããããšã¯æãç«ã€ãšããããã®ãŸããŸã¡ã
Lv.43ã¯ãŸã ãã£ããããªã ; $hypothesis$ = ãã®ãŸããŸã¡ã
Lv.43ã¯åŸ¡æ¥ãããããªããã©æ©ã ; $proof$ = | fact8 & fact1 -> int1: ãã®ãã«ã
ãã«ãLv.36ã¯åŒ·å¶é£è¡ããªã; int1 & fact6 -> int2: ããã®ãã«ã
ãã«ãLv.36ã¯å
¥ãèŸããããã«ããã¯ãããããããšããããšã¯æãç«ããªã; int2 & fact5 -> int3: ãã®ãã«ã
ãã«ãLv.36ã¯ãã©ããªããªã; int3 & fact9 -> int4: ãã®ãŸããŸã¡ã
Lv.43ã¯ãŸã ãã£ããããšããããšã¯ãªã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: (x): (¬{E}x & {F}x) -> ¬{D}x fact3: ¬{E}{b} -> (¬{F}{b} & {G}{b}) fact4: ¬{D}{b} -> ({A}{b} & {B}{b}) fact5: ¬({C}{a} & {A}{a}) -> ¬{D}{a} fact6: ¬{B}{a} -> ¬({C}{a} & {A}{a}) fact7: ¬{C}{b} -> ¬{F}{b} fact8: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact9: ¬{D}{a} -> ¬{E}{b} ; $hypothesis$ = (¬{F}{b} & {G}{b}) ; $proof$ = | fact8 & fact1 -> int1: ¬{B}{a}; int1 & fact6 -> int2: ¬({C}{a} & {A}{a}); int2 & fact5 -> int3: ¬{D}{a}; int3 & fact9 -> int4: ¬{E}{b}; int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸãªãŸãªLv.64ã¯æ»ãæ»
ãŒã | {C}{a} | fact1: ããã®ãŸãªãŸãªLv.64ã¯åŸ¡è©³ãããããŸãã«ããã¯æ¬ å Žããããšããããšã¯èª€ã£ãŠãã fact2: ããããã®ãŸãªãŸãªLv.64ã¯åŸ¡è©³ããããããæ¬ å Žããªãããšããããšã¯æãç«ããªããªãããã¯æ»ãæ»
ãŒããªã fact3: ãã®ãŸããŸã¡ãLv.82ã¯æ¬ å Žãããšããããšã¯ãªã fact4: ãã®ãŸãªãŸãªLv.64ãæ¬ å Žããã°ãã®ãŸãªãŸãªLv.64ã¯æ»ãæ»
ãŒããªã | fact1: ¬({A}{a} & {B}{a}) fact2: ¬({A}{a} & ¬{B}{a}) -> ¬{C}{a} fact3: ¬{B}{eq} fact4: {B}{a} -> ¬{C}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸãªãŸãªLv.64ã¯åŸ¡è©³ãããæ¬ å Žãããšããããšã¯ãªã; assump1 -> int1: ãã®ãŸãªãŸãªLv.64ã¯åŸ¡è©³ãã;"
] | [
"void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: {A}{a};"
] | null | null | [] | null | 5 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãŸãªãŸãªLv.64ã¯åŸ¡è©³ãããããŸãã«ããã¯æ¬ å Žããããšããããšã¯èª€ã£ãŠãã fact2: ããããã®ãŸãªãŸãªLv.64ã¯åŸ¡è©³ããããããæ¬ å Žããªãããšããããšã¯æãç«ããªããªãããã¯æ»ãæ»
ãŒããªã fact3: ãã®ãŸããŸã¡ãLv.82ã¯æ¬ å Žãããšããããšã¯ãªã fact4: ãã®ãŸãªãŸãªLv.64ãæ¬ å Žããã°ãã®ãŸãªãŸãªLv.64ã¯æ»ãæ»
ãŒããªã ; $hypothesis$ = ãã®ãŸãªãŸãªLv.64ã¯æ»ãæ»
ãŒã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({A}{a} & {B}{a}) fact2: ¬({A}{a} & ¬{B}{a}) -> ¬{C}{a} fact3: ¬{B}{eq} fact4: {B}{a} -> ¬{C}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã¡ã
Lv.96ã¯å°ç¡ã | {D}{a} | fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒãæãæããªãã°ããã¯éºã fact2: ãã®ãŽã¡ããŽã¡ãLv.20ã仲éããããšããããã®ãŽã¡ããŽã¡ãLv.20ã¯æãæã fact3: ããããã®ãŽããŽã¡ã
Lv.96ãæ·±ããšããã°ããã¯æãæã fact4: ããããã®ãŽã¡ããŽã¡ãLv.20ã仲éããããªããšããããã®ãŽããŽã¡ã
Lv.96ã¯æ·±ããéºã fact5: ããããã®ãŽã¡ããŽã¡ãLv.20ãæ·±ããšããããšã¯ãªãããŸãã¯ãããå°ç¡ãããããã¯äž¡æ¹ãšãã ãšãããšãã®ãŽããŽã¡ã
Lv.96ã¯å°ç¡ããªã fact6: ãã®ãŽã¡ããŽã¡ãLv.20ã¯ä»²éããããªã | fact1: (x): {C}x -> {B}x fact2: {E}{b} -> {C}{b} fact3: {A}{a} -> {C}{a} fact4: ¬{E}{b} -> ({A}{a} & {B}{a}) fact5: (¬{A}{b} v {D}{b}) -> ¬{D}{a} fact6: ¬{E}{b} | [
"fact4 & fact6 -> int1: ãã®ãŽããŽã¡ã
Lv.96ã¯æ·±ããããã«éºã; int1 -> int2: ãã®ãŽããŽã¡ã
Lv.96ã¯æ·±ã; int2 & fact3 -> int3: ãã®ãŽããŽã¡ã
Lv.96ã¯æãæã;"
] | [
"fact4 & fact6 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact3 -> int3: {C}{a};"
] | ãã®ãŽããŽã¡ã
Lv.96ã¯å°ç¡ããªã | ¬{D}{a} | [
"fact8 -> int4: ããããã®ãŽã¡ããŽã¡ãLv.20ãæãæããªãããã¯éºã;"
] | 6 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒãæãæããªãã°ããã¯éºã fact2: ãã®ãŽã¡ããŽã¡ãLv.20ã仲éããããšããããã®ãŽã¡ããŽã¡ãLv.20ã¯æãæã fact3: ããããã®ãŽããŽã¡ã
Lv.96ãæ·±ããšããã°ããã¯æãæã fact4: ããããã®ãŽã¡ããŽã¡ãLv.20ã仲éããããªããšããããã®ãŽããŽã¡ã
Lv.96ã¯æ·±ããéºã fact5: ããããã®ãŽã¡ããŽã¡ãLv.20ãæ·±ããšããããšã¯ãªãããŸãã¯ãããå°ç¡ãããããã¯äž¡æ¹ãšãã ãšãããšãã®ãŽããŽã¡ã
Lv.96ã¯å°ç¡ããªã fact6: ãã®ãŽã¡ããŽã¡ãLv.20ã¯ä»²éããããªã ; $hypothesis$ = ãã®ãŽããŽã¡ã
Lv.96ã¯å°ç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {C}x -> {B}x fact2: {E}{b} -> {C}{b} fact3: {A}{a} -> {C}{a} fact4: ¬{E}{b} -> ({A}{a} & {B}{a}) fact5: (¬{A}{b} v {D}{b}) -> ¬{D}{a} fact6: ¬{E}{b} ; $hypothesis$ = {D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | 匱ããšããããšã¯çããªã | ¬{B} | fact1: åããèŸããšããããšãèµ·ãã fact2: ãããã¿ã«ã¿ãLv.94äºä»¶ãèµ·ããããã€åŒ±ããšããããšãèµ·ãããªãèŠåãé£ããšããããšã¯èµ·ããªã fact3: èŠåãé£ããšããããšãçºçãã fact4: ã¿ã«ã¿ãLv.94äºä»¶ãçãã | fact1: {BR} fact2: ({A} & {B}) -> ¬{C} fact3: {C} fact4: {A} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããã匱ããšããããšãèµ·ãã; fact4 & assump1 -> int1: ã¿ã«ã¿ãLv.94äºä»¶ãçããã匱ããšããããšãèµ·ãã; int1 & fact2 -> int2: èŠåãé£ããšããããšã¯èµ·ãããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: åããèŸããšããããšãèµ·ãã fact2: ãããã¿ã«ã¿ãLv.94äºä»¶ãèµ·ããããã€åŒ±ããšããããšãèµ·ãããªãèŠåãé£ããšããããšã¯èµ·ããªã fact3: èŠåãé£ããšããããšãçºçãã fact4: ã¿ã«ã¿ãLv.94äºä»¶ãçãã ; $hypothesis$ = 匱ããšããããšã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããã匱ããšããããšãèµ·ãã; fact4 & assump1 -> int1: ã¿ã«ã¿ãLv.94äºä»¶ãçããã匱ããšããããšãèµ·ãã; int1 & fact2 -> int2: èŠåãé£ããšããããšã¯èµ·ãããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {BR} fact2: ({A} & {B}) -> ¬{C} fact3: {C} fact4: {A} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {B}; fact4 & assump1 -> int1: ({A} & {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã«ãœã«ã
Lv.30ã¯æ¥èŸããªã | ¬{E}{e} | fact1: ããä»®ã«ããã®ãã¡ãããLv.32ã¯çŽ°ããªãããããããã¯çªºãç¥ããªãããšããããšã¯åœã§ãããšããã°ãã®ã·ãã·ãLv.31ã¯ä¹ãé£ã fact2: ãã®ã¿ãã¿ãLv.47ã¯çãããªã fact3: ããã®ã·ãã·ãLv.31ã¯ä¹ãé£ãããšããããšã¯æãç«ãŠã°ãã®ã·ãã·ãLv.31ã¯åºãã fact4: ããã®ã·ãã·ãLv.31ã¯åºããããšããããšã¯äºå®ã§ããã°ãã®ãŽããŽãLv.83ã¯åãå€ã fact5: ãããããã®ã·ãã·ãLv.31ã¯åºãããªããŠããã¯çªºãç¥ããªãããšããããšã¯ééããªãã°ãã®ãã¡ãããLv.32ã¯ä¹ãé£ã fact6: ããä»®ã«ãã®ãŽããŽãLv.83ãåãå€ããšãããšãã®ãœã«ãœã«ã
Lv.30ã¯æ¥èŸã fact7: ãããã®ã¿ãã¿ãLv.47ã¯çãããªããªããããã®ãã¡ãããLv.32ã¯çŽ°ããªãããŸã窺ãç¥ããªãããšããããšã¯çå®ã ããšããããšã¯ééã£ãŠãã | fact1: ¬(¬{AA}{b} & ¬{AB}{b}) -> {B}{c} fact2: ¬{A}{a} fact3: {B}{c} -> {C}{c} fact4: {C}{c} -> {D}{d} fact5: ¬(¬{C}{c} & ¬{AB}{c}) -> {B}{b} fact6: {D}{d} -> {E}{e} fact7: ¬{A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) | [
"fact7 & fact2 -> int1: ããã®ãã¡ãããLv.32ã¯çŽ°ããšããããšã¯ãªããŠå ããŠçªºãç¥ããªãããšããããšã¯èª€ã£ãŠãã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.31ã¯ä¹ãé£ã; int2 & fact3 -> int3: ãã®ã·ãã·ãLv.31ã¯åºãã; int3 & fact4 -> int4: ãã®ãŽããŽãLv.83ã¯åãå€ã; int4 & fact6 -> hypothesis;"
] | [
"fact7 & fact2 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact1 -> int2: {B}{c}; int2 & fact3 -> int3: {C}{c}; int3 & fact4 -> int4: {D}{d}; int4 & fact6 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ããã®ãã¡ãããLv.32ã¯çŽ°ããªãããããããã¯çªºãç¥ããªãããšããããšã¯åœã§ãããšããã°ãã®ã·ãã·ãLv.31ã¯ä¹ãé£ã fact2: ãã®ã¿ãã¿ãLv.47ã¯çãããªã fact3: ããã®ã·ãã·ãLv.31ã¯ä¹ãé£ãããšããããšã¯æãç«ãŠã°ãã®ã·ãã·ãLv.31ã¯åºãã fact4: ããã®ã·ãã·ãLv.31ã¯åºããããšããããšã¯äºå®ã§ããã°ãã®ãŽããŽãLv.83ã¯åãå€ã fact5: ãããããã®ã·ãã·ãLv.31ã¯åºãããªããŠããã¯çªºãç¥ããªãããšããããšã¯ééããªãã°ãã®ãã¡ãããLv.32ã¯ä¹ãé£ã fact6: ããä»®ã«ãã®ãŽããŽãLv.83ãåãå€ããšãããšãã®ãœã«ãœã«ã
Lv.30ã¯æ¥èŸã fact7: ãããã®ã¿ãã¿ãLv.47ã¯çãããªããªããããã®ãã¡ãããLv.32ã¯çŽ°ããªãããŸã窺ãç¥ããªãããšããããšã¯çå®ã ããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãã®ãœã«ãœã«ã
Lv.30ã¯æ¥èŸããªã ; $proof$ = | fact7 & fact2 -> int1: ããã®ãã¡ãããLv.32ã¯çŽ°ããšããããšã¯ãªããŠå ããŠçªºãç¥ããªãããšããããšã¯èª€ã£ãŠãã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.31ã¯ä¹ãé£ã; int2 & fact3 -> int3: ãã®ã·ãã·ãLv.31ã¯åºãã; int3 & fact4 -> int4: ãã®ãŽããŽãLv.83ã¯åãå€ã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{b} & ¬{AB}{b}) -> {B}{c} fact2: ¬{A}{a} fact3: {B}{c} -> {C}{c} fact4: {C}{c} -> {D}{d} fact5: ¬(¬{C}{c} & ¬{AB}{c}) -> {B}{b} fact6: {D}{d} -> {E}{e} fact7: ¬{A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) ; $hypothesis$ = ¬{E}{e} ; $proof$ = | fact7 & fact2 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact1 -> int2: {B}{c}; int2 & fact3 -> int3: {C}{c}; int3 & fact4 -> int4: {D}{d}; int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®ãã¡ã
ãã®Lv.66ã¯å¢çããããã©å±éãæããªãããšããããšã¯çå®ã ãšããããã®ãã¡ã
ãã®Lv.66ã¯åŸ
ã¡é ãã | ({A}{a} & ¬{B}{a}) -> {C}{a} | fact1: ããä»®ã«ããã®ãã¡ã
ãã®Lv.66ã¯å¢çããããšããããšã¯æ£ãããªãã°ãã®ãã¡ã
ãã®Lv.66ã¯åŸ
ã¡é ãã fact2: ãã®ãã¡ã
ãã®Lv.66ã¯å±éãæããªã fact3: ãã®ãã«ãããLv.50ã¯å¢çãã fact4: ãããã®ãã¡ã
ãã®Lv.66ãå±éãæããªãã°ãã®ã·ãªã·ã«ãLv.28ã¯å¢çãã | fact1: {A}{a} -> {C}{a} fact2: ¬{B}{a} fact3: {A}{er} fact4: {B}{a} -> {A}{ek} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã¡ã
ãã®Lv.66ã¯å¢çããäžæ¹ã§å±éãæããªã; assump1 -> int1: ãã®ãã¡ã
ãã®Lv.66ã¯å¢çãã; int1 & fact1 -> int2: ãã®ãã¡ã
ãã®Lv.66ã¯åŸ
ã¡é ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: {A}{a}; int1 & fact1 -> int2: {C}{a}; [assump1] & int2 -> hypothesis;"
] | ãã®ã·ãªã·ã«ãLv.28ã¯å¢çãã | {A}{ek} | [] | 6 | 4 | 2 | 4 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã®ãã¡ã
ãã®Lv.66ã¯å¢çããããšããããšã¯æ£ãããªãã°ãã®ãã¡ã
ãã®Lv.66ã¯åŸ
ã¡é ãã fact2: ãã®ãã¡ã
ãã®Lv.66ã¯å±éãæããªã fact3: ãã®ãã«ãããLv.50ã¯å¢çãã fact4: ãããã®ãã¡ã
ãã®Lv.66ãå±éãæããªãã°ãã®ã·ãªã·ã«ãLv.28ã¯å¢çãã ; $hypothesis$ = ããããã®ãã¡ã
ãã®Lv.66ã¯å¢çããããã©å±éãæããªãããšããããšã¯çå®ã ãšããããã®ãã¡ã
ãã®Lv.66ã¯åŸ
ã¡é ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã¡ã
ãã®Lv.66ã¯å¢çããäžæ¹ã§å±éãæããªã; assump1 -> int1: ãã®ãã¡ã
ãã®Lv.66ã¯å¢çãã; int1 & fact1 -> int2: ãã®ãã¡ã
ãã®Lv.66ã¯åŸ
ã¡é ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {C}{a} fact2: ¬{B}{a} fact3: {A}{er} fact4: {B}{a} -> {A}{ek} ; $hypothesis$ = ({A}{a} & ¬{B}{a}) -> {C}{a} ; $proof$ = | void -> assump1: ({A}{a} & ¬{B}{a}); assump1 -> int1: {A}{a}; int1 & fact1 -> int2: {C}{a}; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã®ãã¡ã
Lv.8ã¯çãã | {C}{b} | fact1: ãããªãããã®ã¢ã³ã¹ã¿ãŒãååããããã€ãããæ¶ãããšãããšãã®ãã®ãã¡ã
Lv.8ã¯çãã fact2: ããã®ãœããœãLv.35ã¯æ¶ããªãããšããããšã¯çå®ã ãšããã°ãã®ãã®ãã¡ã
Lv.8ã¯ç©æ¬²ãããŠå ããŠååãã fact3: ãã®ãœããœãLv.35ã¯ããããªããªãäžæ¹ã§ç©æ¬²ãã fact4: ãããã®ãœããœãLv.35ã¯ããããªããããã«ç©æ¬²ãããšãããããã¯æ¶ãã fact5: ãã®ãœããœãLv.35ã¯ååãã fact6: ãããšããã¢ã³ã¹ã¿ãŒãååããã°ããã¯çãããªã | fact1: (x): ({A}x & {B}x) -> {C}{b} fact2: ¬{B}{a} -> ({D}{b} & {A}{b}) fact3: (¬{E}{a} & {D}{a}) fact4: ({E}{a} & {D}{a}) -> {B}{a} fact5: {A}{a} fact6: (x): {A}x -> ¬{C}x | [] | [] | ãã®ãã®ãã¡ã
Lv.8ã¯ç©æ¬²ãã | {D}{b} | [] | 5 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããªãããã®ã¢ã³ã¹ã¿ãŒãååããããã€ãããæ¶ãããšãããšãã®ãã®ãã¡ã
Lv.8ã¯çãã fact2: ããã®ãœããœãLv.35ã¯æ¶ããªãããšããããšã¯çå®ã ãšããã°ãã®ãã®ãã¡ã
Lv.8ã¯ç©æ¬²ãããŠå ããŠååãã fact3: ãã®ãœããœãLv.35ã¯ããããªããªãäžæ¹ã§ç©æ¬²ãã fact4: ãããã®ãœããœãLv.35ã¯ããããªããããã«ç©æ¬²ãããšãããããã¯æ¶ãã fact5: ãã®ãœããœãLv.35ã¯ååãã fact6: ãããšããã¢ã³ã¹ã¿ãŒãååããã°ããã¯çãããªã ; $hypothesis$ = ãã®ãã®ãã¡ã
Lv.8ã¯çãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({A}x & {B}x) -> {C}{b} fact2: ¬{B}{a} -> ({D}{b} & {A}{b}) fact3: (¬{E}{a} & {D}{a}) fact4: ({E}{a} & {D}{a}) -> {B}{a} fact5: {A}{a} fact6: (x): {A}x -> ¬{C}x ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å®ãæãããããç²ãé£ã | ({B}{a} & {C}{a}) | fact1: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯ç²ãé£ã fact2: å¯èŠãããªãã¢ã³ã¹ã¿ãŒã¯æ¯åãããªãããã€åãèŸããªã fact3: ä»®ã«ãã®ãŸã®ãŸã¡ã
Lv.86ã¯æ¯åãããªãããã®äžåãèŸããªããšãããããã®ãŸã®ãŸã¡ã
Lv.86ã¯å®ãæãããšããããšã¯æãç«ã€ fact4: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å¯èŠãããªã | fact1: {C}{a} fact2: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact3: (¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact4: ¬{A}{a} | [
"fact2 -> int1: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å¯èŠãããªããªãããã®ãŸã®ãŸã¡ã
Lv.86ã¯æ¯åãããªããæŽã«åãèŸããªãããšããããšã¯ééãã§ãªã; int1 & fact4 -> int2: ãã®ãŸã®ãŸã¡ã
Lv.86ãæ¯åããããšããããšã¯ãªãããã®äžåãèŸããªã; int2 & fact3 -> int3: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å®ãæã; int3 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}); int1 & fact4 -> int2: (¬{AA}{a} & ¬{AB}{a}); int2 & fact3 -> int3: {B}{a}; int3 & fact1 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯ç²ãé£ã fact2: å¯èŠãããªãã¢ã³ã¹ã¿ãŒã¯æ¯åãããªãããã€åãèŸããªã fact3: ä»®ã«ãã®ãŸã®ãŸã¡ã
Lv.86ã¯æ¯åãããªãããã®äžåãèŸããªããšãããããã®ãŸã®ãŸã¡ã
Lv.86ã¯å®ãæãããšããããšã¯æãç«ã€ fact4: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å¯èŠãããªã ; $hypothesis$ = ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å®ãæãããããç²ãé£ã ; $proof$ = | fact2 -> int1: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å¯èŠãããªããªãããã®ãŸã®ãŸã¡ã
Lv.86ã¯æ¯åãããªããæŽã«åãèŸããªãããšããããšã¯ééãã§ãªã; int1 & fact4 -> int2: ãã®ãŸã®ãŸã¡ã
Lv.86ãæ¯åããããšããããšã¯ãªãããã®äžåãèŸããªã; int2 & fact3 -> int3: ãã®ãŸã®ãŸã¡ã
Lv.86ã¯å®ãæã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact3: (¬{AA}{a} & ¬{AB}{a}) -> {B}{a} fact4: ¬{A}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | fact2 -> int1: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}); int1 & fact4 -> int2: (¬{AA}{a} & ¬{AB}{a}); int2 & fact3 -> int3: {B}{a}; int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãŸãªãŸã®Lv.9äºä»¶ããã³çãæããšããããšãçãã | ({D} & {F}) | fact1: ä»®ã«ãã«ã
ããLv.57äºä»¶ãèµ·ããªããšãããšãŸãªãŸã®Lv.9äºä»¶ã¯çºçãããããããã®ããLv.21äºä»¶ã¯çããªã fact2: ãã«ã
ããLv.57äºä»¶ã¯ãç¶ç¶ãé£ããšããããšãçãããããã«ã¿ã«ãã¿ãLv.34äºä»¶ãçããããšããããšã«é»ãŸãã fact3: ç¶ç¶ãé£ããšããããšãçºçãã fact4: ç®æ°ãããšããããšãèµ·ãã fact5: ãŸã¡ã
ãŸã«Lv.49äºä»¶ãèµ·ããäžæ¹ã§å€©çããããšããããšã¯çããªã fact6: ç¶ç¶ãé£ããšããããšã¯èµ·ãããªããªãã°ããŸãªãŸã®Lv.9äºä»¶ãšçãæããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact7: çãæããšããããšãçºçãã | fact1: ¬{C} -> ({D} & ¬{E}) fact2: ({A} & {B}) -> ¬{C} fact3: {A} fact4: {AU} fact5: ({GO} & ¬{BP}) fact6: ¬{A} -> ¬({D} & {F}) fact7: {F} | [] | [] | ããŸãªãŸã®Lv.9äºä»¶ãšçãæããšããããšäž¡æ¹ãçããããšããããšã¯æãç«ããªã | ¬({D} & {F}) | [] | 6 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã«ã
ããLv.57äºä»¶ãèµ·ããªããšãããšãŸãªãŸã®Lv.9äºä»¶ã¯çºçãããããããã®ããLv.21äºä»¶ã¯çããªã fact2: ãã«ã
ããLv.57äºä»¶ã¯ãç¶ç¶ãé£ããšããããšãçãããããã«ã¿ã«ãã¿ãLv.34äºä»¶ãçããããšããããšã«é»ãŸãã fact3: ç¶ç¶ãé£ããšããããšãçºçãã fact4: ç®æ°ãããšããããšãèµ·ãã fact5: ãŸã¡ã
ãŸã«Lv.49äºä»¶ãèµ·ããäžæ¹ã§å€©çããããšããããšã¯çããªã fact6: ç¶ç¶ãé£ããšããããšã¯èµ·ãããªããªãã°ããŸãªãŸã®Lv.9äºä»¶ãšçãæããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact7: çãæããšããããšãçºçãã ; $hypothesis$ = ãŸãªãŸã®Lv.9äºä»¶ããã³çãæããšããããšãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C} -> ({D} & ¬{E}) fact2: ({A} & {B}) -> ¬{C} fact3: {A} fact4: {AU} fact5: ({GO} & ¬{BP}) fact6: ¬{A} -> ¬({D} & {F}) fact7: {F} ; $hypothesis$ = ({D} & {F}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.65ã¯åŠäœããããªã | ¬{E}{e} | fact1: ããä»®ã«ãã®ã·ãã·ãLv.83ãããã©ããšããããã®ã·ãã·ã®Lv.8ã¯æããæã fact2: ããä»®ã«ãã®ã·ãã·ãLv.65ãæããæããªãã°ãã®ã·ãã·ã®Lv.8ã¯éšã
ãããªã fact3: ãããã®ã¿ã¡ã
ã¿ãªLv.71ãç
©ããããšããã°ãã®ã·ãã·ãLv.83ã¯ããã©ã fact4: ãã®ãŽã¡ããŽã®Lv.87ãå¿åªãããªããã®ã¿ã¡ã
ã¿ãªLv.71ã¯ç
©ããã fact5: ãã®ãŽã¡ããŽã®Lv.87ã¯å¿åªãã | fact1: {C}{c} -> {D}{d} fact2: {D}{e} -> ¬{F}{d} fact3: {B}{b} -> {C}{c} fact4: {A}{a} -> {B}{b} fact5: {A}{a} | [
"fact4 & fact5 -> int1: ãã®ã¿ã¡ã
ã¿ãªLv.71ã¯ç
©ããã; int1 & fact3 -> int2: ãã®ã·ãã·ãLv.83ã¯ããã©ã; int2 & fact1 -> int3: ãã®ã·ãã·ã®Lv.8ã¯æããæã;"
] | [
"fact4 & fact5 -> int1: {B}{b}; int1 & fact3 -> int2: {C}{c}; int2 & fact1 -> int3: {D}{d};"
] | null | null | [] | null | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ã·ãã·ãLv.83ãããã©ããšããããã®ã·ãã·ã®Lv.8ã¯æããæã fact2: ããä»®ã«ãã®ã·ãã·ãLv.65ãæããæããªãã°ãã®ã·ãã·ã®Lv.8ã¯éšã
ãããªã fact3: ãããã®ã¿ã¡ã
ã¿ãªLv.71ãç
©ããããšããã°ãã®ã·ãã·ãLv.83ã¯ããã©ã fact4: ãã®ãŽã¡ããŽã®Lv.87ãå¿åªãããªããã®ã¿ã¡ã
ã¿ãªLv.71ã¯ç
©ããã fact5: ãã®ãŽã¡ããŽã®Lv.87ã¯å¿åªãã ; $hypothesis$ = ãã®ã·ãã·ãLv.65ã¯åŠäœããããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{c} -> {D}{d} fact2: {D}{e} -> ¬{F}{d} fact3: {B}{b} -> {C}{c} fact4: {A}{a} -> {B}{b} fact5: {A}{a} ; $hypothesis$ = ¬{E}{e} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããªLv.93ã¯èªãã£ãœããªã | ¬{F}{d} | fact1: ããä»®ã«ãã®ãã®ãã¡ãLv.52ãæŽèœèããªããŠãã€æœããªããªãã°ãã®ãŽããŽãLv.22ã¯ç±ãæã fact2: ãã®ã¿ãã¿ãLv.76ã¯ç±ãæã fact3: ãã®ããããªLv.93ãæ»ã£æ«ããªãããããã¯å°ããªãããŸãã¯ã©ã¡ããã§ãããšãããšèªãã£ãœã fact4: ãããã®ããããLv.66ãæ»ã£æ«ããªããã®ããããªLv.93ã¯æ»ã£æ«ããªã fact5: ãã®ãã®ãã¡ãLv.52ã¯æœããªã fact6: ãã®ãŽããŽãLv.22ãç±ãæããªãã°ãã®ããããªLv.93ã¯æ»ã£æ«ããªãããŸãã¯å°ããªããäž¡æ¹ã fact7: ããããšããã¢ã³ã¹ã¿ãŒãæœããªããšãããããã¯äœã¿é£ããšããããšã¯ãªããããŸãã«å¯ããªã fact8: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ»ã£æ«ããªããšããã°ãããã¯æŽèœèãããããç±ãæãããšããããšã¯èª€ãã§ãã fact9: ãããã®ããããLv.66ãäŒããªããŠãããçŸããšããããšã¯ãªããšãããšãã®ãã®ãã¡ãLv.52ã¯æŽèœèããªã | fact1: (¬{B}{b} & ¬{A}{b}) -> {C}{c} fact2: {C}{hu} fact3: (¬{D}{d} v ¬{E}{d}) -> {F}{d} fact4: {D}{a} -> ¬{D}{d} fact5: ¬{A}{b} fact6: {C}{c} -> (¬{D}{d} v ¬{E}{d}) fact7: (x): ¬{A}x -> (¬{EA}x & ¬{BN}x) fact8: (x): ¬{D}x -> ¬({B}x & {C}x) fact9: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} | [] | [] | ãã®ããããªLv.93ã¯äœã¿é£ããšããããšã¯ãªãããŸãå¯ããªã | (¬{EA}{d} & ¬{BN}{d}) | [
"fact11 -> int1: ããä»®ã«ãã®ããããªLv.93ãæœããšããããšã¯ãªããªããã®ããããªLv.93ã¯äœã¿é£ããªããŠå¯ããªã; fact12 -> int2: ãããã®ããããªLv.93ã¯æ»ã£æ«ããªããªããæŽèœèããŠãã€ç±ãæãããšããããšã¯åã ;"
] | 5 | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãã®ãã¡ãLv.52ãæŽèœèããªããŠãã€æœããªããªãã°ãã®ãŽããŽãLv.22ã¯ç±ãæã fact2: ãã®ã¿ãã¿ãLv.76ã¯ç±ãæã fact3: ãã®ããããªLv.93ãæ»ã£æ«ããªãããããã¯å°ããªãããŸãã¯ã©ã¡ããã§ãããšãããšèªãã£ãœã fact4: ãããã®ããããLv.66ãæ»ã£æ«ããªããã®ããããªLv.93ã¯æ»ã£æ«ããªã fact5: ãã®ãã®ãã¡ãLv.52ã¯æœããªã fact6: ãã®ãŽããŽãLv.22ãç±ãæããªãã°ãã®ããããªLv.93ã¯æ»ã£æ«ããªãããŸãã¯å°ããªããäž¡æ¹ã fact7: ããããšããã¢ã³ã¹ã¿ãŒãæœããªããšãããããã¯äœã¿é£ããšããããšã¯ãªããããŸãã«å¯ããªã fact8: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ»ã£æ«ããªããšããã°ãããã¯æŽèœèãããããç±ãæãããšããããšã¯èª€ãã§ãã fact9: ãããã®ããããLv.66ãäŒããªããŠãããçŸããšããããšã¯ãªããšãããšãã®ãã®ãã¡ãLv.52ã¯æŽèœèããªã ; $hypothesis$ = ãã®ããããªLv.93ã¯èªãã£ãœããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{B}{b} & ¬{A}{b}) -> {C}{c} fact2: {C}{hu} fact3: (¬{D}{d} v ¬{E}{d}) -> {F}{d} fact4: {D}{a} -> ¬{D}{d} fact5: ¬{A}{b} fact6: {C}{c} -> (¬{D}{d} v ¬{E}{d}) fact7: (x): ¬{A}x -> (¬{EA}x & ¬{BN}x) fact8: (x): ¬{D}x -> ¬({B}x & {C}x) fact9: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} ; $hypothesis$ = ¬{F}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸã¡ã
Lv.95ã¯ççœãäžæ¹ã§ããã¯å¿åŒ±ããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({C}{d} & ¬{E}{d}) | fact1: ä»®ã«ãã®ãœããœãLv.26ã¯ççœããªãã°ããã®ãŸããŸã¡ã
Lv.95ã¯ççœãããã©å¿åŒ±ããªãããšããããšã¯åã fact2: ä»®ã«ãã®ãŽãªãŽãLv.18ãå
¥æãæããšããããã®ãããã¡ãLv.79ã¯äžç¥èŸã fact3: ãã®ãããã¡ãLv.79ã¯å¿åŒ±ã fact4: ããä»®ã«ãã®ãããã¡ãLv.79ãäžç¥èŸããšããã°ãã®ãœããœãLv.26ã¯ççœã fact5: ãã®ãŽãªãŽãLv.18ã¯å
¥æãæãããŸãåãå£ã | fact1: {C}{c} -> ¬({C}{d} & ¬{E}{d}) fact2: {A}{a} -> {B}{b} fact3: {E}{b} fact4: {B}{b} -> {C}{c} fact5: ({A}{a} & {D}{a}) | [
"fact5 -> int1: ãã®ãŽãªãŽãLv.18ã¯å
¥æãæã; fact2 & int1 -> int2: ãã®ãããã¡ãLv.79ã¯äžç¥èŸã; int2 & fact4 -> int3: ãã®ãœããœãLv.26ã¯ççœã; int3 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; fact2 & int1 -> int2: {B}{b}; int2 & fact4 -> int3: {C}{c}; int3 & fact1 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ãœããœãLv.26ã¯ççœããªãã°ããã®ãŸããŸã¡ã
Lv.95ã¯ççœãããã©å¿åŒ±ããªãããšããããšã¯åã fact2: ä»®ã«ãã®ãŽãªãŽãLv.18ãå
¥æãæããšããããã®ãããã¡ãLv.79ã¯äžç¥èŸã fact3: ãã®ãããã¡ãLv.79ã¯å¿åŒ±ã fact4: ããä»®ã«ãã®ãããã¡ãLv.79ãäžç¥èŸããšããã°ãã®ãœããœãLv.26ã¯ççœã fact5: ãã®ãŽãªãŽãLv.18ã¯å
¥æãæãããŸãåãå£ã ; $hypothesis$ = ããã®ãŸããŸã¡ã
Lv.95ã¯ççœãäžæ¹ã§ããã¯å¿åŒ±ããšããããšã¯ãªãããšããããšã¯æãç«ããªã ; $proof$ = | fact5 -> int1: ãã®ãŽãªãŽãLv.18ã¯å
¥æãæã; fact2 & int1 -> int2: ãã®ãããã¡ãLv.79ã¯äžç¥èŸã; int2 & fact4 -> int3: ãã®ãœããœãLv.26ã¯ççœã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{c} -> ¬({C}{d} & ¬{E}{d}) fact2: {A}{a} -> {B}{b} fact3: {E}{b} fact4: {B}{b} -> {C}{c} fact5: ({A}{a} & {D}{a}) ; $hypothesis$ = ¬({C}{d} & ¬{E}{d}) ; $proof$ = | fact5 -> int1: {A}{a}; fact2 & int1 -> int2: {B}{b}; int2 & fact4 -> int3: {C}{c}; int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãã«ããã«ãLv.49ã¯çœãããããã¯é£ã¹æããªãããããã¯äž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã | ¬({D}{d} v ¬{F}{d}) | fact1: ä»®ã«ãã®ãã¡ããã¡ãLv.66ã¯è¬ããããã©æ¬²æ
ããªããšããã°ããã¯èµ·ãæã fact2: ããä»®ã«ãã®ãã¡ããã¡ãLv.66ãæã¡åºããããããèµ·ãæããªããã®ãŽããŽã«ãLv.82ã¯ä»ãå
Œããªã fact3: ããããã®ãã¡ããã¡ã
Lv.11ã¯çœããªããšããã°ããã®ãã«ããã«ãLv.49ã¯çœããé£ã¹æããªãããšããããšã¯çå®ã§ãªã fact4: ããã¢ã³ã¹ã¿ãŒãä»ãå
Œãããšããã°ããã¯èµ·ãæã fact5: ä»®ã«ãã®ãã¡ããã¡ã
Lv.11ãçœããšããããšã¯ãªããšããããã®ãã«ããã«ãLv.49ã¯çœããªã fact6: ãã®ãã¡ããã¡ãLv.66ã¯æã¡åºãã fact7: ããã®ãã¡ããã¡ãLv.66ã¯è¬ããäžæ¹ã§ããã¯æ¬²æ
ããªãããšããããšã¯çå®ã | fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: ¬{D}{c} -> ¬({D}{d} v ¬{F}{d}) fact4: (x): {C}x -> {B}x fact5: ¬{D}{c} -> ¬{D}{d} fact6: {A}{a} fact7: ({AA}{a} & ¬{AB}{a}) | [
"fact1 & fact7 -> int1: ãã®ãã¡ããã¡ãLv.66ã¯èµ·ãæã; int1 & fact6 -> int2: ãã®ãã¡ããã¡ãLv.66ã¯æã¡åºãããèµ·ãæã; int2 & fact2 -> int3: ãã®ãŽããŽã«ãLv.82ã¯ä»ãå
Œããªã;"
] | [
"fact1 & fact7 -> int1: {B}{a}; int1 & fact6 -> int2: ({A}{a} & {B}{a}); int2 & fact2 -> int3: ¬{C}{b};"
] | ãã®ãã«ããã«ãLv.49ã¯æã¡åºãã | {A}{d} | [
"fact8 -> int4: ä»®ã«ãã®ãã«ããã«ãLv.49ãä»ãå
Œãããšããã°ããã¯èµ·ãæã;"
] | 4 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãã¡ããã¡ãLv.66ã¯è¬ããããã©æ¬²æ
ããªããšããã°ããã¯èµ·ãæã fact2: ããä»®ã«ãã®ãã¡ããã¡ãLv.66ãæã¡åºããããããèµ·ãæããªããã®ãŽããŽã«ãLv.82ã¯ä»ãå
Œããªã fact3: ããããã®ãã¡ããã¡ã
Lv.11ã¯çœããªããšããã°ããã®ãã«ããã«ãLv.49ã¯çœããé£ã¹æããªãããšããããšã¯çå®ã§ãªã fact4: ããã¢ã³ã¹ã¿ãŒãä»ãå
Œãããšããã°ããã¯èµ·ãæã fact5: ä»®ã«ãã®ãã¡ããã¡ã
Lv.11ãçœããšããããšã¯ãªããšããããã®ãã«ããã«ãLv.49ã¯çœããªã fact6: ãã®ãã¡ããã¡ãLv.66ã¯æã¡åºãã fact7: ããã®ãã¡ããã¡ãLv.66ã¯è¬ããäžæ¹ã§ããã¯æ¬²æ
ããªãããšããããšã¯çå®ã ; $hypothesis$ = ããã®ãã«ããã«ãLv.49ã¯çœãããããã¯é£ã¹æããªãããããã¯äž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: ¬{D}{c} -> ¬({D}{d} v ¬{F}{d}) fact4: (x): {C}x -> {B}x fact5: ¬{D}{c} -> ¬{D}{d} fact6: {A}{a} fact7: ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬({D}{d} v ¬{F}{d}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããåºå
¥ããæããšãããšæžãé£ããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ãšç°ãªã | ¬((Ex): {A}x -> {C}x) | fact1: ä»®ã«ãã®ãŸããŸã«Lv.85ãåºå
¥ããæããéã³æããšããããšã¯ãªããªãã°æžãé£ã | fact1: ({A}{a} & ¬{B}{a}) -> {C}{a} | [] | [] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãŸããŸã«Lv.85ãåºå
¥ããæããéã³æããšããããšã¯ãªããªãã°æžãé£ã ; $hypothesis$ = ããããåºå
¥ããæããšãããšæžãé£ããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & ¬{B}{a}) -> {C}{a} ; $hypothesis$ = ¬((Ex): {A}x -> {C}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.74ã¯èŠåãé£ã | {F}{d} | fact1: ãããã®ãŸããŸãLv.98ãæžãé£ããªããã®ã·ã«ãã·ã¡ã
Lv.77ã¯ç¢ºèªãé£ã fact2: ããä»®ã«ãã®ã·ãã·ãLv.18ã確èªãé£ããŠçŽ³å£«ããããšããããã®ã·ãã·ãLv.74ã¯èŠåãé£ããªã fact3: ããä»®ã«ãã®ã·ã«ãã·ã¡ã
Lv.77ã確èªãé£ããšããããã®ã·ãã·ãLv.18ã¯æŽã
ãããšããããšã¯ãªãã確èªãé£ã fact4: ããã®ã·ãã·ãLv.18ã¯æŽã
ãããªãããšããããšã¯æ£ãã fact5: ããã®ãŸããŸãLv.98ã¯ã¯ã ããããããã¯æžãé£ãããšããããšã¯æ£ãã fact6: ãããæŽã
ãããªãã¢ã³ã¹ã¿ãŒã確èªãé£ããªãã°ããã¯æžãé£ããªã fact7: ãã®ãŸããŸãLv.98ã¯çŽ³å£«ããããšããããšã¯ãªããã©æãã fact8: ããä»®ã«ãã®ãŸããŸãLv.98ã玳士ããããªãäžæ¹ã§æãããšãããšããã¯ç¢ºèªãé£ããªã fact9: ããã®ã·ãã·ãLv.18ã¯çŽ³å£«ãããããšããããšã¯äºå®ã§ãã | fact1: {B}{a} -> {C}{c} fact2: ({C}{b} & {E}{b}) -> ¬{F}{d} fact3: {C}{c} -> (¬{D}{b} & {C}{b}) fact4: ¬{D}{b} fact5: ({A}{a} v {B}{a}) fact6: (x): (¬{D}x & {C}x) -> ¬{B}x fact7: (¬{E}{a} & {G}{a}) fact8: (¬{E}{a} & {G}{a}) -> ¬{C}{a} fact9: {E}{b} | [] | [] | ãã®ã·ãã·ãLv.74ã¯èŠåãé£ã | {F}{d} | [
"fact11 -> int1: ä»®ã«ãã®ã·ãã·ãLv.74ãæŽã
ãããªããã©ããã¯ç¢ºèªãé£ããšããã°ããã®ã·ãã·ãLv.74ã¯æžãé£ããšããããšã¯ãªãããšããããšã¯æãç«ã€; fact10 & fact12 -> int2: ããã®ãŸããŸãLv.98ã¯ç¢ºèªãé£ããªãããšããããšã¯æ£ãã; int2 -> int3: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¢ºèªãé£ããªã;"
] | 6 | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãŸããŸãLv.98ãæžãé£ããªããã®ã·ã«ãã·ã¡ã
Lv.77ã¯ç¢ºèªãé£ã fact2: ããä»®ã«ãã®ã·ãã·ãLv.18ã確èªãé£ããŠçŽ³å£«ããããšããããã®ã·ãã·ãLv.74ã¯èŠåãé£ããªã fact3: ããä»®ã«ãã®ã·ã«ãã·ã¡ã
Lv.77ã確èªãé£ããšããããã®ã·ãã·ãLv.18ã¯æŽã
ãããšããããšã¯ãªãã確èªãé£ã fact4: ããã®ã·ãã·ãLv.18ã¯æŽã
ãããªãããšããããšã¯æ£ãã fact5: ããã®ãŸããŸãLv.98ã¯ã¯ã ããããããã¯æžãé£ãããšããããšã¯æ£ãã fact6: ãããæŽã
ãããªãã¢ã³ã¹ã¿ãŒã確èªãé£ããªãã°ããã¯æžãé£ããªã fact7: ãã®ãŸããŸãLv.98ã¯çŽ³å£«ããããšããããšã¯ãªããã©æãã fact8: ããä»®ã«ãã®ãŸããŸãLv.98ã玳士ããããªãäžæ¹ã§æãããšãããšããã¯ç¢ºèªãé£ããªã fact9: ããã®ã·ãã·ãLv.18ã¯çŽ³å£«ãããããšããããšã¯äºå®ã§ãã ; $hypothesis$ = ãã®ã·ãã·ãLv.74ã¯èŠåãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} -> {C}{c} fact2: ({C}{b} & {E}{b}) -> ¬{F}{d} fact3: {C}{c} -> (¬{D}{b} & {C}{b}) fact4: ¬{D}{b} fact5: ({A}{a} v {B}{a}) fact6: (x): (¬{D}x & {C}x) -> ¬{B}x fact7: (¬{E}{a} & {G}{a}) fact8: (¬{E}{a} & {G}{a}) -> ¬{C}{a} fact9: {E}{b} ; $hypothesis$ = {F}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸãLv.22ã¯çºãæ®ãããªãããšããããšã¯ç¢ºãã | ¬{G}{c} | fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒãçãé£ããªããªãã°ããã¯çºãæ®ããããã€æãæã fact2: ãããã®ãŽã¡ã
ãŽãLv.82ãæãé£ããšããããšã¯ãªãããã®äžè© å±ããªããšããã°ãã®ãŸããŸãLv.22ã¯çºãæ®ãã fact3: ããããã®ãŸãªãŸã«ã
Lv.99ãè© å±ãããªãããã¯åãå
¥ãé£ããªããæãé£ã fact4: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.82ãåãå
¥ãé£ããšãããšæãé£ããªããŠãŸãè© å±ãããšããããšã¯ãªã fact5: ãã®ãŸãªãŸã«ã
Lv.99ã¯æãæããããã¯çãé£ã fact6: ãããããã®ãŸãªãŸã«ã
Lv.99ã¯æãæãããšããããšã¯æãç«ã€ãšãããšãã®ãŽã¡ã
ãŽãLv.82ã¯æ眪ãã fact7: ä»®ã«ãã®ãŸãªãŸã«ã
Lv.99ãçºãæ®ãããšãããšãã®ã·ãã·ãLv.26ã¯çºãæ®ãã fact8: ããä»®ã«ããããã£ããããªããè© å±ãããšããããšã¯ãªããã©ã¡ããã§ããããšããããšã¯åã§ãããã¢ã³ã¹ã¿ãŒããããªããã®ãŸãªãŸã«ã
Lv.99ã¯è© å±ãã fact9: ããããã£ããããªãããããã¯è© å±ãããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ããªãã¢ã³ã¹ã¿ãŒã¯ãã fact10: ããããã®ãŽã¡ã
ãŽãLv.82ãæ眪ããã°ãã®ãŽã¡ã
ãŽãLv.82ã¯åãå
¥ãé£ã | fact1: (x): ¬{B}x -> ({G}x & {A}x) fact2: (¬{E}{b} & ¬{F}{b}) -> {G}{c} fact3: {F}{a} -> (¬{D}{a} & {E}{a}) fact4: {D}{b} -> (¬{E}{b} & ¬{F}{b}) fact5: ({A}{a} & {B}{a}) fact6: {A}{a} -> {C}{b} fact7: {G}{a} -> {G}{at} fact8: (x): ¬(¬{I}x v ¬{F}x) -> {F}{a} fact9: (Ex): ¬(¬{I}x v ¬{F}x) fact10: {C}{b} -> {D}{b} | [
"fact5 -> int1: ãã®ãŸãªãŸã«ã
Lv.99ã¯æãæã; int1 & fact6 -> int2: ãã®ãŽã¡ã
ãŽãLv.82ã¯æ眪ãã; int2 & fact10 -> int3: ãã®ãŽã¡ã
ãŽãLv.82ã¯åãå
¥ãé£ã; int3 & fact4 -> int4: ãã®ãŽã¡ã
ãŽãLv.82ã¯æãé£ããªããŠè© å±ãããšããããšã¯ãªã; int4 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; int1 & fact6 -> int2: {C}{b}; int2 & fact10 -> int3: {D}{b}; int3 & fact4 -> int4: (¬{E}{b} & ¬{F}{b}); int4 & fact2 -> hypothesis;"
] | ãã®ã·ãã·ãLv.26ã¯çºãæ®ãã | {G}{at} | [
"fact15 -> int5: ãã®ãŸãªãŸã«ã
Lv.99ãçãé£ããªããšãããšããã¯çºãæ®ãããããã¯æãæã; fact14 & fact13 -> int6: ãã®ãŸãªãŸã«ã
Lv.99ã¯è© å±ãã; fact12 & int6 -> int7: ãã®ãŸãªãŸã«ã
Lv.99ã¯åãå
¥ãé£ããªãããããæãé£ã; int7 -> int8: ãã®ãŸãªãŸã«ã
Lv.99ã¯åãå
¥ãé£ããªã;"
] | 8 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒãçãé£ããªããªãã°ããã¯çºãæ®ããããã€æãæã fact2: ãããã®ãŽã¡ã
ãŽãLv.82ãæãé£ããšããããšã¯ãªãããã®äžè© å±ããªããšããã°ãã®ãŸããŸãLv.22ã¯çºãæ®ãã fact3: ããããã®ãŸãªãŸã«ã
Lv.99ãè© å±ãããªãããã¯åãå
¥ãé£ããªããæãé£ã fact4: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.82ãåãå
¥ãé£ããšãããšæãé£ããªããŠãŸãè© å±ãããšããããšã¯ãªã fact5: ãã®ãŸãªãŸã«ã
Lv.99ã¯æãæããããã¯çãé£ã fact6: ãããããã®ãŸãªãŸã«ã
Lv.99ã¯æãæãããšããããšã¯æãç«ã€ãšãããšãã®ãŽã¡ã
ãŽãLv.82ã¯æ眪ãã fact7: ä»®ã«ãã®ãŸãªãŸã«ã
Lv.99ãçºãæ®ãããšãããšãã®ã·ãã·ãLv.26ã¯çºãæ®ãã fact8: ããä»®ã«ããããã£ããããªããè© å±ãããšããããšã¯ãªããã©ã¡ããã§ããããšããããšã¯åã§ãããã¢ã³ã¹ã¿ãŒããããªããã®ãŸãªãŸã«ã
Lv.99ã¯è© å±ãã fact9: ããããã£ããããªãããããã¯è© å±ãããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ããªãã¢ã³ã¹ã¿ãŒã¯ãã fact10: ããããã®ãŽã¡ã
ãŽãLv.82ãæ眪ããã°ãã®ãŽã¡ã
ãŽãLv.82ã¯åãå
¥ãé£ã ; $hypothesis$ = ããã®ãŸããŸãLv.22ã¯çºãæ®ãããªãããšããããšã¯ç¢ºãã ; $proof$ = | fact5 -> int1: ãã®ãŸãªãŸã«ã
Lv.99ã¯æãæã; int1 & fact6 -> int2: ãã®ãŽã¡ã
ãŽãLv.82ã¯æ眪ãã; int2 & fact10 -> int3: ãã®ãŽã¡ã
ãŽãLv.82ã¯åãå
¥ãé£ã; int3 & fact4 -> int4: ãã®ãŽã¡ã
ãŽãLv.82ã¯æãé£ããªããŠè© å±ãããšããããšã¯ãªã; int4 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({G}x & {A}x) fact2: (¬{E}{b} & ¬{F}{b}) -> {G}{c} fact3: {F}{a} -> (¬{D}{a} & {E}{a}) fact4: {D}{b} -> (¬{E}{b} & ¬{F}{b}) fact5: ({A}{a} & {B}{a}) fact6: {A}{a} -> {C}{b} fact7: {G}{a} -> {G}{at} fact8: (x): ¬(¬{I}x v ¬{F}x) -> {F}{a} fact9: (Ex): ¬(¬{I}x v ¬{F}x) fact10: {C}{b} -> {D}{b} ; $hypothesis$ = ¬{G}{c} ; $proof$ = | fact5 -> int1: {A}{a}; int1 & fact6 -> int2: {C}{b}; int2 & fact10 -> int3: {D}{b}; int3 & fact4 -> int4: (¬{E}{b} & ¬{F}{b}); int4 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããã倪ãé£ããšããããšã¯çºçããªããŠãŸã«ãŸãLv.26äºä»¶ãèµ·ãã | (¬{AA} & {AB}) | fact1: ãœãªãœãLv.22äºä»¶ãçãã fact2: 倪ãé£ããšããããšã¯çºçããªãããã©ãŸã«ãŸãLv.26äºä»¶ãçãããªãã¡ããæããšããããšãèµ·ãã fact3: ãŸã«ãŸãLv.26äºä»¶ãçºçãã fact4: ããä»®ã«ææ©ããšããããšã¯èµ·ãããªããšããããçããšããããšã¯èµ·ãããªããŠæŽã«ã¡ããæããšããããšã¯èµ·ããªãããšããããšã¯åœã§ãã fact5: ã¡ããæããšããããšã¯çºçããªã fact6: ããããçããšããããšã¯çããªãããããã¡ããæããšããããšã¯çããªãããšããããšã¯æãç«ããªããšããããŽããŽã«Lv.92äºä»¶ã¯èµ·ãããªã | fact1: {CK} fact2: (¬{AA} & {AB}) -> {B} fact3: {AB} fact4: ¬{C} -> ¬(¬{A} & ¬{B}) fact5: ¬{B} fact6: ¬(¬{A} & ¬{B}) -> ¬{DO} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããã倪ãé£ããšããããšã¯çºçããªããŠãŸã«ãŸãLv.26äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: ã¡ããæããšããããšãçãã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: (¬{AA} & {AB}); fact2 & assump1 -> int1: {B}; int1 & fact5 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | ãŽããŽã«Lv.92äºä»¶ã¯çºçããªã | ¬{DO} | [] | 7 | 4 | 3 | 4 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœãªãœãLv.22äºä»¶ãçãã fact2: 倪ãé£ããšããããšã¯çºçããªãããã©ãŸã«ãŸãLv.26äºä»¶ãçãããªãã¡ããæããšããããšãèµ·ãã fact3: ãŸã«ãŸãLv.26äºä»¶ãçºçãã fact4: ããä»®ã«ææ©ããšããããšã¯èµ·ãããªããšããããçããšããããšã¯èµ·ãããªããŠæŽã«ã¡ããæããšããããšã¯èµ·ããªãããšããããšã¯åœã§ãã fact5: ã¡ããæããšããããšã¯çºçããªã fact6: ããããçããšããããšã¯çããªãããããã¡ããæããšããããšã¯çããªãããšããããšã¯æãç«ããªããšããããŽããŽã«Lv.92äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããã倪ãé£ããšããããšã¯çºçããªããŠãŸã«ãŸãLv.26äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããã倪ãé£ããšããããšã¯çºçããªããŠãŸã«ãŸãLv.26äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: ã¡ããæããšããããšãçãã; int1 & fact5 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {CK} fact2: (¬{AA} & {AB}) -> {B} fact3: {AB} fact4: ¬{C} -> ¬(¬{A} & ¬{B}) fact5: ¬{B} fact6: ¬(¬{A} & ¬{B}) -> ¬{DO} ; $hypothesis$ = (¬{AA} & {AB}) ; $proof$ = | void -> assump1: (¬{AA} & {AB}); fact2 & assump1 -> int1: {B}; int1 & fact5 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽããŽã¡ãLv.55ã¯åãæããšããããšã¯ãªãããšããããšã¯äºå®ã§ãã | ¬{B}{b} | fact1: ãã®ã·ã«ã·ã®Lv.26ã¯è©³ãã fact2: ãããã®ã·ã«ã·ã®Lv.26ã¯è©³ãããªãã°ããã®ãŽããŽã¡ãLv.55ã¯çœ®ãæããªããŠããã«ããã¯äŒãé£ããªãããšããããšã¯ééãã fact3: ããã®ãŽããŽã¡ãLv.55ã¯çœ®ãæããªããŠãã®äžäŒãé£ããªãããšããããšã¯ééã£ãŠãããšãããšåãæã fact4: ãã®ãŽã«ããŽãLv.37ã¯åãæã | fact1: {A}{a} fact2: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact3: ¬(¬{AA}{b} & ¬{AB}{b}) -> {B}{b} fact4: {B}{cf} | [
"fact2 & fact1 -> int1: ãããã®ãŽããŽã¡ãLv.55ã¯çœ®ãæããªããããã«äŒãé£ããªãããšããããšã¯ééã£ãŠããããšããããšã¯æãç«ã€; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ã·ã«ã·ã®Lv.26ã¯è©³ãã fact2: ãããã®ã·ã«ã·ã®Lv.26ã¯è©³ãããªãã°ããã®ãŽããŽã¡ãLv.55ã¯çœ®ãæããªããŠããã«ããã¯äŒãé£ããªãããšããããšã¯ééãã fact3: ããã®ãŽããŽã¡ãLv.55ã¯çœ®ãæããªããŠãã®äžäŒãé£ããªãããšããããšã¯ééã£ãŠãããšãããšåãæã fact4: ãã®ãŽã«ããŽãLv.37ã¯åãæã ; $hypothesis$ = ããã®ãŽããŽã¡ãLv.55ã¯åãæããšããããšã¯ãªãããšããããšã¯äºå®ã§ãã ; $proof$ = | fact2 & fact1 -> int1: ãããã®ãŽããŽã¡ãLv.55ã¯çœ®ãæããªããããã«äŒãé£ããªãããšããããšã¯ééã£ãŠããããšããããšã¯æãç«ã€; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact3: ¬(¬{AA}{b} & ¬{AB}{b}) -> {B}{b} fact4: {B}{cf} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact2 & fact1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ã飌è²åºæ¥ããšãããšäžãæããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {A}x -> {B}x | fact1: ããããã®ãŽããŽãLv.80ã¯åŸéãããè¥ã
ãããªããšãããããã¯äžãæã fact2: ããããã®ãŽããŽãLv.80ã飌è²åºæ¥ããšãããããã¯åŸéãããã©è¥ã
ãããªã | fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: {A}{a} -> ({AA}{a} & ¬{AB}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.80ã¯é£Œè²åºæ¥ã; fact2 & assump1 -> int1: ãã®ãŽããŽãLv.80ã¯åŸéãããè¥ã
ãããšããããšã¯ãªã; int1 & fact1 -> int2: ãã®ãŽããŽãLv.80ã¯äžãæã; [assump1] & int2 -> int3: ããä»®ã«ããã®ãŽããŽãLv.80ã¯é£Œè²åºæ¥ãããšããããšã¯æãç«ã€ãšããã°ãã®ãŽããŽãLv.80ã¯äžãæã; int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: ({AA}{a} & ¬{AB}{a}); int1 & fact1 -> int2: {B}{a}; [assump1] & int2 -> int3: {A}{a} -> {B}{a}; int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã®ãŽããŽãLv.80ã¯åŸéãããè¥ã
ãããªããšãããããã¯äžãæã fact2: ããããã®ãŽããŽãLv.80ã飌è²åºæ¥ããšãããããã¯åŸéãããã©è¥ã
ãããªã ; $hypothesis$ = ã飌è²åºæ¥ããšãããšäžãæããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.80ã¯é£Œè²åºæ¥ã; fact2 & assump1 -> int1: ãã®ãŽããŽãLv.80ã¯åŸéãããè¥ã
ãããšããããšã¯ãªã; int1 & fact1 -> int2: ãã®ãŽããŽãLv.80ã¯äžãæã; [assump1] & int2 -> int3: ããä»®ã«ããã®ãŽããŽãLv.80ã¯é£Œè²åºæ¥ãããšããããšã¯æãç«ã€ãšããã°ãã®ãŽããŽãLv.80ã¯äžãæã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact2: {A}{a} -> ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = (Ex): {A}x -> {B}x ; $proof$ = | void -> assump1: {A}{a}; fact2 & assump1 -> int1: ({AA}{a} & ¬{AB}{a}); int1 & fact1 -> int2: {B}{a}; [assump1] & int2 -> int3: {A}{a} -> {B}{a}; int3 -> hypothesis; __PROVED__ |
0.3 | ããããã®ã¿ãã¿ãLv.92ãçºæ®ãæããšããããã®ã¿ãã¿ãLv.92ã¯åœŒãããããšããããšã¯æ£ãããªã | ¬({A}{a} -> {D}{a}) | fact1: ãããã®ã¿ãã¿ãLv.92ã銎æã¿æããšãããããã¯åœŒããã fact2: ãããã®ã¿ãã¿ãLv.92ãå¯èªãããšããããã®ã¿ãã¿ãLv.92ã¯éŠŽæã¿æã fact3: ãããã®ã¿ãã¿ãLv.92ãçºæ®ãæããšãããšãã®ã¿ãã¿ãLv.92ã¯å¯èªãã | fact1: {C}{a} -> {D}{a} fact2: {B}{a} -> {C}{a} fact3: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã¿ãã¿ãLv.92ã¯çºæ®ãæãããšããããšã¯æãç«ã€; fact3 & assump1 -> int1: ãã®ã¿ãã¿ãLv.92ã¯å¯èªãã; int1 & fact2 -> int2: ãã®ã¿ãã¿ãLv.92ã¯éŠŽæã¿æã; int2 & fact1 -> int3: ãã®ã¿ãã¿ãLv.92ã¯åœŒããã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact1 -> int3: {D}{a}; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã¿ãã¿ãLv.92ã銎æã¿æããšãããããã¯åœŒããã fact2: ãããã®ã¿ãã¿ãLv.92ãå¯èªãããšããããã®ã¿ãã¿ãLv.92ã¯éŠŽæã¿æã fact3: ãããã®ã¿ãã¿ãLv.92ãçºæ®ãæããšãããšãã®ã¿ãã¿ãLv.92ã¯å¯èªãã ; $hypothesis$ = ããããã®ã¿ãã¿ãLv.92ãçºæ®ãæããšããããã®ã¿ãã¿ãLv.92ã¯åœŒãããããšããããšã¯æ£ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ã¿ãã¿ãLv.92ã¯çºæ®ãæãããšããããšã¯æãç«ã€; fact3 & assump1 -> int1: ãã®ã¿ãã¿ãLv.92ã¯å¯èªãã; int1 & fact2 -> int2: ãã®ã¿ãã¿ãLv.92ã¯éŠŽæã¿æã; int2 & fact1 -> int3: ãã®ã¿ãã¿ãLv.92ã¯åœŒããã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} -> {D}{a} fact2: {B}{a} -> {C}{a} fact3: {A}{a} -> {B}{a} ; $hypothesis$ = ¬({A}{a} -> {D}{a}) ; $proof$ = | void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact1 -> int3: {D}{a}; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | çãããŸãããšããããšã¯èµ·ããªã | ¬{C} | fact1: ã€ã¹ãããšããããšã¯ãçšé ããšããããšã¯çããªãããšããããšãåé¿ãã fact2: ãããæãŒããšããããšãšè²å¥œããšããããšã©ã¡ãããçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°çšé ããšããããšã¯çºçããªã fact3: ã€ã¹ãããšããããšã¯çºçããªã fact4: æãããšããããšã¯ãã€ã¹ãããšããããšã¯èµ·ããªãããšããããšãé²ã fact5: ã·ãã·ã«Lv.42äºä»¶ã¯èµ·ããªã fact6: ã€ã¹ãããšããããšã¯çããªããšãããšãæãŒããšããããšããã³è²å¥œããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact7: ããä»®ã«ããèš³ç¡ããšããããšããã³æå¹ååŸããããšäž¡æ¹ãšããèµ·ããããšããããšã¯äºå®ã ããšããããšã¯èª€ãã§ãããšãããã©ã§ãããšããããšã¯çºçããªã fact8: ãçšé ããšããããšã¯çºçããªãããã©æã
ãããšããããšãçºçããããšããããšã¯çãããŸãããšããããšã®ãã£ãããšãªã | fact1: {D} -> {B} fact2: ¬({AA} & {AB}) -> ¬{B} fact3: ¬{D} fact4: {E} -> {D} fact5: ¬{AL} fact6: ¬{D} -> ¬({AA} & {AB}) fact7: ¬({HQ} & {GB}) -> ¬{AH} fact8: (¬{B} & {A}) -> {C} | [
"fact6 & fact3 -> int1: ãæãŒããšããããšãèµ·ãããè²å¥œããšããããšãèµ·ããããšããããšã¯åã ; fact2 & int1 -> int2: çšé ããšããããšã¯èµ·ããªã;"
] | [
"fact6 & fact3 -> int1: ¬({AA} & {AB}); fact2 & int1 -> int2: ¬{B};"
] | çãããŸãããšããããšã¯èµ·ããªã | ¬{C} | [] | 7 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã€ã¹ãããšããããšã¯ãçšé ããšããããšã¯çããªãããšããããšãåé¿ãã fact2: ãããæãŒããšããããšãšè²å¥œããšããããšã©ã¡ãããçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°çšé ããšããããšã¯çºçããªã fact3: ã€ã¹ãããšããããšã¯çºçããªã fact4: æãããšããããšã¯ãã€ã¹ãããšããããšã¯èµ·ããªãããšããããšãé²ã fact5: ã·ãã·ã«Lv.42äºä»¶ã¯èµ·ããªã fact6: ã€ã¹ãããšããããšã¯çããªããšãããšãæãŒããšããããšããã³è²å¥œããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact7: ããä»®ã«ããèš³ç¡ããšããããšããã³æå¹ååŸããããšäž¡æ¹ãšããèµ·ããããšããããšã¯äºå®ã ããšããããšã¯èª€ãã§ãããšãããã©ã§ãããšããããšã¯çºçããªã fact8: ãçšé ããšããããšã¯çºçããªãããã©æã
ãããšããããšãçºçããããšããããšã¯çãããŸãããšããããšã®ãã£ãããšãªã ; $hypothesis$ = çãããŸãããšããããšã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D} -> {B} fact2: ¬({AA} & {AB}) -> ¬{B} fact3: ¬{D} fact4: {E} -> {D} fact5: ¬{AL} fact6: ¬{D} -> ¬({AA} & {AB}) fact7: ¬({HQ} & {GB}) -> ¬{AH} fact8: (¬{B} & {A}) -> {C} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãšãããšããããšã¯çºçããªã | ¬{D} | fact1: ããä»®ã«äžæ»ãããããšãçãããšããã°ãšãããšããããšã¯çºçããªããäžæ»ãããããšãèµ·ãã fact2: ããããããLv.99äºä»¶ã¯çããªããªãäžæ»ãããããšãèµ·ãããæŽã«æž©ãããšããããšãçãã | fact1: {A} -> (¬{D} & {A}) fact2: ¬{C} -> ({A} & {B}) | [] | [] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«äžæ»ãããããšãçãããšããã°ãšãããšããããšã¯çºçããªããäžæ»ãããããšãèµ·ãã fact2: ããããããLv.99äºä»¶ã¯çããªããªãäžæ»ãããããšãèµ·ãããæŽã«æž©ãããšããããšãçãã ; $hypothesis$ = ãšãããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> (¬{D} & {A}) fact2: ¬{C} -> ({A} & {B}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | 䟮ãããšã¯èµ·ãããªãããããã¯è³¢ããšããããšã¯çºçããªã | (¬{E} v ¬{G}) | fact1: ãè
¹é»ããšããããšã¯èµ·ãããªãããšããããšã¯æžã蟌ã¿ããããšã¯èµ·ãããªããšããããšãéã³æããšããããšããããã¯äž¡æ¹ã«ããçºçãã fact2: 䟮ãããšãèµ·ããã°ã䟮ãããšã¯çºçããªãããããã¯è³¢ããšããããšã¯èµ·ãããªãããšããããšã¯æ£ãããšããããšã¯ãªã fact3: ããããã©ãã¹ããããšããããšã¯çããªãããããã¯æµãæããšããããšãèµ·ããããšããããšã¯åãªãã°äŸ®ãããšãçãã fact4: ããã·ã¡ãã·ãLv.55äºä»¶ãçããªãäžæ¹ã§ç±ã
ããšããããšãèµ·ãããšãããšäŸ®ãããšã¯èµ·ãããªã fact5: ã·ã¡ãã·ãLv.55äºä»¶ãèµ·ãã fact6: ããæµãæããšããããšã¯çããªããšããã°ããã©ãã¹ããããšããããšã¯èµ·ããªãããããã¯æµãæããšããããšãèµ·ããããããã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã fact7: ãããã·ã¡ãã·ãLv.55äºä»¶ãšç±ã
ããšããããšãèµ·ããã°æµãæããšããããšã¯çºçããªã fact8: ä»®ã«ãè
¹é»ããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšãããšæµãæããšããããšãçºçããããã©ãã¹ããããšããããšã¯çºçãã fact9: éã³æããšããããšã¯ãœããœã«ã
Lv.32äºä»¶ã«ããçãã fact10: ä»®ã«ãã·ã¡ãã·ãLv.55äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ãªããä»°ã
ãããšããããšã¯çããªãããœããœã«ã
Lv.47äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ããããšããããšã¯åœã§ãã | fact1: (¬{I} v {H}) -> ¬{F} fact2: {E} -> ¬(¬{E} v ¬{G}) fact3: ¬(¬{D} v {C}) -> {E} fact4: (¬{A} & {B}) -> ¬{E} fact5: {A} fact6: ¬{C} -> ¬(¬{D} v {C}) fact7: ({A} & {B}) -> ¬{C} fact8: ¬{F} -> ({C} & {D}) fact9: {J} -> {H} fact10: ¬{A} -> ¬(¬{CF} v {DF}) | [] | [] | ãä»°ã
ãããšããããšã¯èµ·ããªãããããã¯ãœããœã«ã
Lv.47äºä»¶ãèµ·ããããããã¯äž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã | ¬(¬{CF} v {DF}) | [] | 6 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãè
¹é»ããšããããšã¯èµ·ãããªãããšããããšã¯æžã蟌ã¿ããããšã¯èµ·ãããªããšããããšãéã³æããšããããšããããã¯äž¡æ¹ã«ããçºçãã fact2: 䟮ãããšãèµ·ããã°ã䟮ãããšã¯çºçããªãããããã¯è³¢ããšããããšã¯èµ·ãããªãããšããããšã¯æ£ãããšããããšã¯ãªã fact3: ããããã©ãã¹ããããšããããšã¯çããªãããããã¯æµãæããšããããšãèµ·ããããšããããšã¯åãªãã°äŸ®ãããšãçãã fact4: ããã·ã¡ãã·ãLv.55äºä»¶ãçããªãäžæ¹ã§ç±ã
ããšããããšãèµ·ãããšãããšäŸ®ãããšã¯èµ·ãããªã fact5: ã·ã¡ãã·ãLv.55äºä»¶ãèµ·ãã fact6: ããæµãæããšããããšã¯çããªããšããã°ããã©ãã¹ããããšããããšã¯èµ·ããªãããããã¯æµãæããšããããšãèµ·ããããããã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã fact7: ãããã·ã¡ãã·ãLv.55äºä»¶ãšç±ã
ããšããããšãèµ·ããã°æµãæããšããããšã¯çºçããªã fact8: ä»®ã«ãè
¹é»ããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšãããšæµãæããšããããšãçºçããããã©ãã¹ããããšããããšã¯çºçãã fact9: éã³æããšããããšã¯ãœããœã«ã
Lv.32äºä»¶ã«ããçãã fact10: ä»®ã«ãã·ã¡ãã·ãLv.55äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ãªããä»°ã
ãããšããããšã¯çããªãããœããœã«ã
Lv.47äºä»¶ãèµ·ããããããã¯ã©ã¡ããã§ããããšããããšã¯åœã§ãã ; $hypothesis$ = 䟮ãããšã¯èµ·ãããªãããããã¯è³¢ããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{I} v {H}) -> ¬{F} fact2: {E} -> ¬(¬{E} v ¬{G}) fact3: ¬(¬{D} v {C}) -> {E} fact4: (¬{A} & {B}) -> ¬{E} fact5: {A} fact6: ¬{C} -> ¬(¬{D} v {C}) fact7: ({A} & {B}) -> ¬{C} fact8: ¬{F} -> ({C} & {D}) fact9: {J} -> {H} fact10: ¬{A} -> ¬(¬{CF} v {DF}) ; $hypothesis$ = (¬{E} v ¬{G}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãåºããšããããšãèµ·ããããšããããšã¯çå®ã§ãã | {F} | fact1: ãããã¡ããã«ãLv.66äºä»¶ãèµ·ããããããã¯ãã£ããããšããããšãèµ·ããããŸãã¯äž¡æ¹ãšãã§ãããšããã°ãé·ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã fact2: ããªããLv.80äºä»¶ãšãã¡ããã«ãLv.66äºä»¶ãçãã fact3: ãã¡ããã«ãLv.66äºä»¶ã¯çºçããªããšããããšã¯ãå·ä»ãæããšããããšãèµ·ããããããããªããLv.80äºä»¶ãèµ·ããããšããããšãæã fact4: ããä»®ã«ãã£ããããšããããšã¯èµ·ãããªããšããã°ãã¡ããã«ãLv.66äºä»¶ã¯çããªããããªããLv.80äºä»¶ã¯çããªã fact5: ãé·ããšããããšã¯èµ·ããªããããã«å¯ããšããããšã¯çããªãããšããããšã¯åºããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact6: é·ããšããããšã¯èµ·ããªããšãããé·ããšããããšã¯èµ·ããªãããã€å¯ããšããããšã¯çºçããªã | fact1: ({B} v {C}) -> ¬{D} fact2: ({A} & {B}) fact3: ¬{B} -> ({EE} & {A}) fact4: ¬{C} -> (¬{B} v ¬{A}) fact5: (¬{D} & ¬{E}) -> {F} fact6: ¬{D} -> (¬{D} & ¬{E}) | [
"fact2 -> int1: ãã¡ããã«ãLv.66äºä»¶ãçãã; int1 -> int2: ãã¡ããã«ãLv.66äºä»¶ããããã¯ãã£ããããšããããšãèµ·ãã; int2 & fact1 -> int3: é·ããšããããšã¯çããªã; int3 & fact6 -> int4: é·ããšããããšã¯èµ·ããªããå¯ããšããããšã¯èµ·ãããªã; int4 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact1 -> int3: ¬{D}; int3 & fact6 -> int4: (¬{D} & ¬{E}); int4 & fact5 -> hypothesis;"
] | åºããšããããšã¯èµ·ãããªã | ¬{F} | [] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã¡ããã«ãLv.66äºä»¶ãèµ·ããããããã¯ãã£ããããšããããšãèµ·ããããŸãã¯äž¡æ¹ãšãã§ãããšããã°ãé·ããšããããšã¯èµ·ãããªãããšããããšã¯ç¢ºãã fact2: ããªããLv.80äºä»¶ãšãã¡ããã«ãLv.66äºä»¶ãçãã fact3: ãã¡ããã«ãLv.66äºä»¶ã¯çºçããªããšããããšã¯ãå·ä»ãæããšããããšãèµ·ããããããããªããLv.80äºä»¶ãèµ·ããããšããããšãæã fact4: ããä»®ã«ãã£ããããšããããšã¯èµ·ãããªããšããã°ãã¡ããã«ãLv.66äºä»¶ã¯çããªããããªããLv.80äºä»¶ã¯çããªã fact5: ãé·ããšããããšã¯èµ·ããªããããã«å¯ããšããããšã¯çããªãããšããããšã¯åºããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact6: é·ããšããããšã¯èµ·ããªããšãããé·ããšããããšã¯èµ·ããªãããã€å¯ããšããããšã¯çºçããªã ; $hypothesis$ = ãåºããšããããšãèµ·ããããšããããšã¯çå®ã§ãã ; $proof$ = | fact2 -> int1: ãã¡ããã«ãLv.66äºä»¶ãçãã; int1 -> int2: ãã¡ããã«ãLv.66äºä»¶ããããã¯ãã£ããããšããããšãèµ·ãã; int2 & fact1 -> int3: é·ããšããããšã¯çããªã; int3 & fact6 -> int4: é·ããšããããšã¯èµ·ããªããå¯ããšããããšã¯èµ·ãããªã; int4 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({B} v {C}) -> ¬{D} fact2: ({A} & {B}) fact3: ¬{B} -> ({EE} & {A}) fact4: ¬{C} -> (¬{B} v ¬{A}) fact5: (¬{D} & ¬{E}) -> {F} fact6: ¬{D} -> (¬{D} & ¬{E}) ; $hypothesis$ = {F} ; $proof$ = | fact2 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact1 -> int3: ¬{D}; int3 & fact6 -> int4: (¬{D} & ¬{E}); int4 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã«ãã¿ã«Lv.16ã¯ç©çãããããã¯èŠªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã | ¬({C}{d} v {E}{d}) | fact1: ããããããã®ã¿ã«ãã¿ã«Lv.16ã¯ç¥ãæããªãããŸãã¯èŠªããäž¡æ¹ãšãã§ããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æãç«ã€ãªããã®ãŸã«ããŸã«ãLv.94ã¯ãŒããšããããšã¯ãªã fact2: ããä»®ã«ããã®ãŸã«ããŸã«ãLv.94ã¯ãŒããªããé
äºããããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªããšããããã®ãã«ããã¡ãLv.8ã¯ç¥ãæããšããããšã¯ãªã fact3: ãããã®ãã«ããã¡ãLv.8ãç¥ãæããªããšããã°ãã®ã¿ã«ãã¿ãLv.5ã¯ç¥ãæããªãããã©èæ±ã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯éªéèããªããªããç©çããããããã¯ããã¯èŠªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã fact5: ãã®ãŸã«ããŸã«ãLv.94ã¯éªéèããªã fact6: ããã®ãŸã«ããŸã«ãLv.94ã¯èæ±ããªããé
äºãããã©ã¡ããã ããšããããšã¯åœã fact7: ããããã®ãŸã«ããŸã«ãLv.94ã¯éªéèããªããªãã°ãããã¯ãŒããªãããŸãã¯é
äºããããŸãã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact8: ãããã®ãã«ããã¡ãLv.8ãé
äºããªããªããã®ãŸã«ããŸã«ãLv.94ã¯é
äºããªããç¥ãæã | fact1: ¬(¬{B}{d} v {E}{d}) -> ¬{AA}{a} fact2: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact3: ¬{B}{b} -> (¬{B}{c} & {D}{c}) fact4: (x): ¬{A}x -> ¬({C}x v {E}x) fact5: ¬{A}{a} fact6: ¬(¬{D}{a} v {AB}{a}) fact7: ¬{A}{a} -> ¬(¬{AA}{a} v {AB}{a}) fact8: ¬{AB}{b} -> (¬{AB}{a} & {B}{a}) | [
"fact7 & fact5 -> int1: ãããã®ãŸã«ããŸã«ãLv.94ã¯ãŒããªããé
äºããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯ç¢ºãã§ãã; int1 & fact2 -> int2: ãã®ãã«ããã¡ãLv.8ã¯ç¥ãæããšããããšã¯ãªã; int2 & fact3 -> int3: ãã®ã¿ã«ãã¿ãLv.5ã¯ç¥ãæããªãããã©èæ±ã;"
] | [
"fact7 & fact5 -> int1: ¬(¬{AA}{a} v {AB}{a}); int1 & fact2 -> int2: ¬{B}{b}; int2 & fact3 -> int3: (¬{B}{c} & {D}{c});"
] | ããã®ã¿ã«ãã¿ã«Lv.16ã¯ç©çãããããã¯èŠªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã | ¬({C}{d} v {E}{d}) | [
"fact9 -> int4: ãããã®ã¿ã«ãã¿ã«Lv.16ã¯éªéèããšããããšã¯ãªããªãã°ãããã¯ç©çããããŸãã¯èŠªãããšããããšã¯ééã£ãŠãã;"
] | 4 | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããããã®ã¿ã«ãã¿ã«Lv.16ã¯ç¥ãæããªãããŸãã¯èŠªããäž¡æ¹ãšãã§ããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æãç«ã€ãªããã®ãŸã«ããŸã«ãLv.94ã¯ãŒããšããããšã¯ãªã fact2: ããä»®ã«ããã®ãŸã«ããŸã«ãLv.94ã¯ãŒããªããé
äºããããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªããšããããã®ãã«ããã¡ãLv.8ã¯ç¥ãæããšããããšã¯ãªã fact3: ãããã®ãã«ããã¡ãLv.8ãç¥ãæããªããšããã°ãã®ã¿ã«ãã¿ãLv.5ã¯ç¥ãæããªãããã©èæ±ã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯éªéèããªããªããç©çããããããã¯ããã¯èŠªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã fact5: ãã®ãŸã«ããŸã«ãLv.94ã¯éªéèããªã fact6: ããã®ãŸã«ããŸã«ãLv.94ã¯èæ±ããªããé
äºãããã©ã¡ããã ããšããããšã¯åœã fact7: ããããã®ãŸã«ããŸã«ãLv.94ã¯éªéèããªããªãã°ãããã¯ãŒããªãããŸãã¯é
äºããããŸãã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact8: ãããã®ãã«ããã¡ãLv.8ãé
äºããªããªããã®ãŸã«ããŸã«ãLv.94ã¯é
äºããªããç¥ãæã ; $hypothesis$ = ããã®ã¿ã«ãã¿ã«Lv.16ã¯ç©çãããããã¯èŠªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{B}{d} v {E}{d}) -> ¬{AA}{a} fact2: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact3: ¬{B}{b} -> (¬{B}{c} & {D}{c}) fact4: (x): ¬{A}x -> ¬({C}x v {E}x) fact5: ¬{A}{a} fact6: ¬(¬{D}{a} v {AB}{a}) fact7: ¬{A}{a} -> ¬(¬{AA}{a} v {AB}{a}) fact8: ¬{AB}{b} -> (¬{AB}{a} & {B}{a}) ; $hypothesis$ = ¬({C}{d} v {E}{d}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœã®ãœã¡ãLv.72ã¯éãæããªãããšããããšã¯çå®ã§ãã | ¬{B}{c} | fact1: ããããã®ãœããœã¡ãLv.99ã¯å²ãç¬ããå¿ãããšããããšã¯ééãã ãšããããã®ãœããœã¡ãLv.99ã¯å²ãç¬ããªã fact2: ããã®ãœããœã¡ãLv.99ã¯å²ãç¬ããããã¯å¿ãããšããããšã¯æ£ãããªã fact3: ãã®ãœããœã¡ãLv.99ãå²ãç¬ããªããšãããšãã®ãã«ã
ããLv.22ã¯é²åãç¶ããããããç¹ããæããšããããšã¯ãªã | fact1: ¬({A}{a} & {C}{a}) -> ¬{A}{a} fact2: ¬({A}{a} & {C}{a}) fact3: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) | [
"fact1 & fact2 -> int1: ãã®ãœããœã¡ãLv.99ã¯å²ãç¬ããªã; fact3 & int1 -> int2: ãã®ãã«ã
ããLv.22ã¯é²åãç¶ããäžæ¹ã§ç¹ããæããªã; int2 -> int3: ãã®ãã«ã
ããLv.22ã¯é²åãç¶ãã;"
] | [
"fact1 & fact2 -> int1: ¬{A}{a}; fact3 & int1 -> int2: ({AA}{b} & ¬{AB}{b}); int2 -> int3: {AA}{b};"
] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãœããœã¡ãLv.99ã¯å²ãç¬ããå¿ãããšããããšã¯ééãã ãšããããã®ãœããœã¡ãLv.99ã¯å²ãç¬ããªã fact2: ããã®ãœããœã¡ãLv.99ã¯å²ãç¬ããããã¯å¿ãããšããããšã¯æ£ãããªã fact3: ãã®ãœããœã¡ãLv.99ãå²ãç¬ããªããšãããšãã®ãã«ã
ããLv.22ã¯é²åãç¶ããããããç¹ããæããšããããšã¯ãªã ; $hypothesis$ = ããã®ãœã®ãœã¡ãLv.72ã¯éãæããªãããšããããšã¯çå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({A}{a} & {C}{a}) -> ¬{A}{a} fact2: ¬({A}{a} & {C}{a}) fact3: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) ; $hypothesis$ = ¬{B}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽã«ããŽãªLv.41ã¯åãŒã£ãããªãããããã¯ããã¯ä¹ãéãããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã | ¬(¬{AA}{a} v {AB}{a}) | fact1: ä»®ã«ãã®ã·ã«ã·ã«Lv.66ãåžžé£ããããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ãLv.49ã¯åæµãããããã¯åºåžããªããã©ã¡ããã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.49ãå宿ããªããšãããšãã®ãŽã«ããŽãªLv.41ã¯åãŒã£ãããªãããŸãã¯ä¹ãéãããããããã¯äž¡æ¹ã | fact1: ¬{D}{c} -> ({C}{b} v ¬{B}{b}) fact2: ¬{A}{b} -> (¬{AA}{a} v {AB}{a}) | [] | [] | ãã®ãŽã«ããŽãªLv.41ã¯åãŒã£ãããªããä¹ãéããã | (¬{AA}{a} v {AB}{a}) | [] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã·ã«ã·ã«Lv.66ãåžžé£ããããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ãLv.49ã¯åæµãããããã¯åºåžããªããã©ã¡ããã fact2: ããä»®ã«ãã®ã¿ãã¿ãLv.49ãå宿ããªããšãããšãã®ãŽã«ããŽãªLv.41ã¯åãŒã£ãããªãããŸãã¯ä¹ãéãããããããã¯äž¡æ¹ã ; $hypothesis$ = ããã®ãŽã«ããŽãªLv.41ã¯åãŒã£ãããªãããããã¯ããã¯ä¹ãéãããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D}{c} -> ({C}{b} v ¬{B}{b}) fact2: ¬{A}{b} -> (¬{AA}{a} v {AB}{a}) ; $hypothesis$ = ¬(¬{AA}{a} v {AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãæ»
ãŒããããšãçãããã©å°äžæ·±ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã | ¬({A} & ¬{B}) | fact1: å°äžæ·±ããšããããšãèµ·ãã fact2: ãããããå°äžæ·±ããšããããšãçºçããããããã¯æ»
ãŒããããšã¯èµ·ããªãããšããããšã¯æ¬åœã ããšããããšã¯ééãã ãšããããã«ããã«Lv.38äºä»¶ã¯çºçããªã | fact1: {B} fact2: ¬({B} v ¬{A}) -> ¬{GK} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæ»
ãŒããããšãèµ·ãããå°äžæ·±ããšããããšã¯èµ·ãããªã; assump1 -> int1: å°äžæ·±ããšããããšã¯çºçããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ({A} & ¬{B}); assump1 -> int1: ¬{B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | ãã«ããã«Lv.38äºä»¶ã¯èµ·ãããªã | ¬{GK} | [] | 6 | 4 | 2 | 4 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å°äžæ·±ããšããããšãèµ·ãã fact2: ãããããå°äžæ·±ããšããããšãçºçããããããã¯æ»
ãŒããããšã¯èµ·ããªãããšããããšã¯æ¬åœã ããšããããšã¯ééãã ãšããããã«ããã«Lv.38äºä»¶ã¯çºçããªã ; $hypothesis$ = ãæ»
ãŒããããšãçãããã©å°äžæ·±ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæ»
ãŒããããšãèµ·ãããå°äžæ·±ããšããããšã¯èµ·ãããªã; assump1 -> int1: å°äžæ·±ããšããããšã¯çºçããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ¬({B} v ¬{A}) -> ¬{GK} ; $hypothesis$ = ¬({A} & ¬{B}) ; $proof$ = | void -> assump1: ({A} & ¬{B}); assump1 -> int1: ¬{B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ããããä»®ã«å€©çããããªããªãã°ãç²é«ããªããŠç¥ã
ããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x)) | fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å€©çããããªããšãããšãç²é«ããªããŠãŸãç¥ã
ããããšããããšã¯äºå®ã§ãªã fact2: ãã®ãŽããŽãLv.10ã絡ãåããããªããšãããšããã¯ç²é«ããªããå ããŠããã¯ãããªã fact3: ããããä»®ã«ã倩çãããããšããããšã¯æãç«ã€ãšããããç²é«ããªããŠããã«ç¥ã
ããããšããããšã¯åœã§ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã | fact1: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact2: ¬{DM}{cd} -> (¬{AA}{cd} & {GT}{cd}) fact3: (Ex): {A}x -> ¬(¬{AA}x & {AB}x) | [
"fact1 -> int1: ãã®ãŸã«ãŸã«ã
Lv.2ã¯å€©çããããªããªããããã®ãŸã«ãŸã«ã
Lv.2ã¯ç²é«ããªããã©ç¥ã
ããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å€©çããããªããšãããšãç²é«ããªããŠãŸãç¥ã
ããããšããããšã¯äºå®ã§ãªã fact2: ãã®ãŽããŽãLv.10ã絡ãåããããªããšãããšããã¯ç²é«ããªããå ããŠããã¯ãããªã fact3: ããããä»®ã«ã倩çãããããšããããšã¯æãç«ã€ãšããããç²é«ããªããŠããã«ç¥ã
ããããšããããšã¯åœã§ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã ; $hypothesis$ = ããããä»®ã«å€©çããããªããªãã°ãç²é«ããªããŠç¥ã
ããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ãŸã«ãŸã«ã
Lv.2ã¯å€©çããããªããªããããã®ãŸã«ãŸã«ã
Lv.2ã¯ç²é«ããªããã©ç¥ã
ããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact2: ¬{DM}{cd} -> (¬{AA}{cd} & {GT}{cd}) fact3: (Ex): {A}x -> ¬(¬{AA}x & {AB}x) ; $hypothesis$ = ¬((Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x)) ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}); int1 -> hypothesis; __DISPROVED__ |
0.3 | èŠèŠãããšããããšã¯çããªã | ¬{E} | fact1: ãæ°å®ããšããããšã¯çºçããªãããšããããšã¯ãŸã¡ããŸã®Lv.48äºä»¶ãå¥æ©ã§ãã fact2: ããã€ãããšããããšãçºçãããæ°å®ããšããããšã¯èµ·ããªãããšããããšã¯ãèªå·±èŠå®ããããšã¯èµ·ããªãããšããããšã®ãã£ãããšãªã fact3: ãã€ãããšããããšãçºçãã fact4: ãããä»®ã«ãæ¡ãæããšããããšã¯èµ·ãããªããŠãŸããŸã¡ããŸã®Lv.48äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°æ°å®ããšããããšã¯èµ·ããªãããšããããšã¯æ£ãã fact5: ãæ¡ãæããšããããšã¯çããªããŠãŸããŸã¡ããŸã®Lv.48äºä»¶ã¯çããªãããšããããšã¯åã§ãã fact6: ããŸããŸã¡ãLv.97äºä»¶ãèµ·ãããç· çµãããšã¯èµ·ããªãããšããããšã¯ã仲çŠãŸãããšããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact7: èªå·±èŠå®ããããšã¯èµ·ãããªããšããããšã¯ã·ã¡ãã·ãLv.69äºä»¶ããããã fact8: ãã·ã¡ãã·ãLv.69äºä»¶ãçºçãããããã«èªå·±èŠå®ããããšãèµ·ããããšããããšã¯ç· çµãããšãçããªããšããããšã¯å¥æ©ã§ãã fact9: ã·ã¡ãã·ãLv.69äºä»¶ã¯èŠèŠãããšããããšã®ãã£ãããšãªã fact10: ãããèªå·±èŠå®ããããšãèµ·ãããšããã°ããã€ãããšããããšã§ã¯ãªãæ°å®ããšããããšãçããããšããããšã¯æãç«ããªã | fact1: {AB} -> ¬{B} fact2: ({A} & ¬{B}) -> ¬{C} fact3: {A} fact4: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact5: ¬(¬{AA} & ¬{AB}) fact6: ¬{H} -> ({G} & ¬{F}) fact7: ¬{C} -> {D} fact8: ¬{F} -> ({D} & {C}) fact9: {D} -> {E} fact10: {C} -> ¬(¬{A} & {B}) | [
"fact4 & fact5 -> int1: æ°å®ããšããããšã¯èµ·ããªã; int1 & fact3 -> int2: ãã€ãããšããããšãçãããæ°å®ããšããããšã¯èµ·ããªã; int2 & fact2 -> int3: èªå·±èŠå®ããããšã¯çºçããªã; int3 & fact7 -> int4: ã·ã¡ãã·ãLv.69äºä»¶ãèµ·ãã; int4 & fact9 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: ¬{B}; int1 & fact3 -> int2: ({A} & ¬{B}); int2 & fact2 -> int3: ¬{C}; int3 & fact7 -> int4: {D}; int4 & fact9 -> hypothesis;"
] | èŠèŠãããšããããšã¯çããªã | ¬{E} | [] | 8 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãæ°å®ããšããããšã¯çºçããªãããšããããšã¯ãŸã¡ããŸã®Lv.48äºä»¶ãå¥æ©ã§ãã fact2: ããã€ãããšããããšãçºçãããæ°å®ããšããããšã¯èµ·ããªãããšããããšã¯ãèªå·±èŠå®ããããšã¯èµ·ããªãããšããããšã®ãã£ãããšãªã fact3: ãã€ãããšããããšãçºçãã fact4: ãããä»®ã«ãæ¡ãæããšããããšã¯èµ·ãããªããŠãŸããŸã¡ããŸã®Lv.48äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°æ°å®ããšããããšã¯èµ·ããªãããšããããšã¯æ£ãã fact5: ãæ¡ãæããšããããšã¯çããªããŠãŸããŸã¡ããŸã®Lv.48äºä»¶ã¯çããªãããšããããšã¯åã§ãã fact6: ããŸããŸã¡ãLv.97äºä»¶ãèµ·ãããç· çµãããšã¯èµ·ããªãããšããããšã¯ã仲çŠãŸãããšããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact7: èªå·±èŠå®ããããšã¯èµ·ãããªããšããããšã¯ã·ã¡ãã·ãLv.69äºä»¶ããããã fact8: ãã·ã¡ãã·ãLv.69äºä»¶ãçºçãããããã«èªå·±èŠå®ããããšãèµ·ããããšããããšã¯ç· çµãããšãçããªããšããããšã¯å¥æ©ã§ãã fact9: ã·ã¡ãã·ãLv.69äºä»¶ã¯èŠèŠãããšããããšã®ãã£ãããšãªã fact10: ãããèªå·±èŠå®ããããšãèµ·ãããšããã°ããã€ãããšããããšã§ã¯ãªãæ°å®ããšããããšãçããããšããããšã¯æãç«ããªã ; $hypothesis$ = èŠèŠãããšããããšã¯çããªã ; $proof$ = | fact4 & fact5 -> int1: æ°å®ããšããããšã¯èµ·ããªã; int1 & fact3 -> int2: ãã€ãããšããããšãçãããæ°å®ããšããããšã¯èµ·ããªã; int2 & fact2 -> int3: èªå·±èŠå®ããããšã¯çºçããªã; int3 & fact7 -> int4: ã·ã¡ãã·ãLv.69äºä»¶ãèµ·ãã; int4 & fact9 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AB} -> ¬{B} fact2: ({A} & ¬{B}) -> ¬{C} fact3: {A} fact4: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact5: ¬(¬{AA} & ¬{AB}) fact6: ¬{H} -> ({G} & ¬{F}) fact7: ¬{C} -> {D} fact8: ¬{F} -> ({D} & {C}) fact9: {D} -> {E} fact10: {C} -> ¬(¬{A} & {B}) ; $hypothesis$ = ¬{E} ; $proof$ = | fact4 & fact5 -> int1: ¬{B}; int1 & fact3 -> int2: ({A} & ¬{B}); int2 & fact2 -> int3: ¬{C}; int3 & fact7 -> int4: {D}; int4 & fact9 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã¡ã
Lv.36ã¯è³¢ãããªã | ¬{D}{a} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è³¢ãããªãäžæ¹ã§ãã©ãããšããããšã¯èª€ããªãè³¢ãã fact2: ãšããã¢ã³ã¹ã¿ãŒãé€é¬Œã£ãœããšãããšããã¯äžããé£ã fact3: ä»®ã«ããã®ãŸããŸã¡ã
Lv.36ã¯ãã©ããé€é¬Œã£ãœãããããã¯äž¡æ¹ã§ããããšããããšã¯ç¢ºãã§ãããšãããšãã®ãŸããŸã¡ã
Lv.36ã¯è³¢ãããªã fact4: ãã®ã·ãã·ãLv.39ã¯äžããé£ã fact5: ãã®ãŸããŸã¡ã
Lv.36ã¯å¥ããæããªã | fact1: (x): ¬(¬{D}x & {B}x) -> {D}x fact2: (x): {C}x -> {A}x fact3: ({B}{a} v {C}{a}) -> ¬{D}{a} fact4: {A}{hp} fact5: ¬{E}{a} | [] | [] | ãã®ãŸããŸã¡ã
Lv.36ã¯è³¢ãã | {D}{a} | [
"fact6 -> int1: ããã®ãŸããŸã¡ã
Lv.36ã¯è³¢ãããªããã©ãã©ãããšããããšã¯ééã£ãŠãããšããã°è³¢ãã; fact7 -> int2: ãããã®ãŸããŸã¡ã
Lv.36ãé€é¬Œã£ãœããªããã®ãŸããŸã¡ã
Lv.36ã¯äžããé£ã;"
] | 4 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è³¢ãããªãäžæ¹ã§ãã©ãããšããããšã¯èª€ããªãè³¢ãã fact2: ãšããã¢ã³ã¹ã¿ãŒãé€é¬Œã£ãœããšãããšããã¯äžããé£ã fact3: ä»®ã«ããã®ãŸããŸã¡ã
Lv.36ã¯ãã©ããé€é¬Œã£ãœãããããã¯äž¡æ¹ã§ããããšããããšã¯ç¢ºãã§ãããšãããšãã®ãŸããŸã¡ã
Lv.36ã¯è³¢ãããªã fact4: ãã®ã·ãã·ãLv.39ã¯äžããé£ã fact5: ãã®ãŸããŸã¡ã
Lv.36ã¯å¥ããæããªã ; $hypothesis$ = ãã®ãŸããŸã¡ã
Lv.36ã¯è³¢ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{D}x & {B}x) -> {D}x fact2: (x): {C}x -> {A}x fact3: ({B}{a} v {C}{a}) -> ¬{D}{a} fact4: {A}{hp} fact5: ¬{E}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸã«ããŸã«ãLv.58äºä»¶ãèµ·ãã | {AB} | fact1: ä»®ã«ãŸããŸãLv.80äºä»¶ã¯çºçããªããªããœã«ãœã¡ãLv.31äºä»¶ãèµ·ãããããã«ãŸã«ããŸã«ãLv.58äºä»¶ãèµ·ãã fact2: ãŸããŸãLv.80äºä»¶ã¯èµ·ããªã | fact1: ¬{A} -> ({AA} & {AB}) fact2: ¬{A} | [
"fact1 & fact2 -> int1: ãœã«ãœã¡ãLv.31äºä»¶ã¯çºçãããããããŸã«ããŸã«ãLv.58äºä»¶ã¯çºçãã; int1 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ({AA} & {AB}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãŸããŸãLv.80äºä»¶ã¯çºçããªããªããœã«ãœã¡ãLv.31äºä»¶ãèµ·ãããããã«ãŸã«ããŸã«ãLv.58äºä»¶ãèµ·ãã fact2: ãŸããŸãLv.80äºä»¶ã¯èµ·ããªã ; $hypothesis$ = ãŸã«ããŸã«ãLv.58äºä»¶ãèµ·ãã ; $proof$ = | fact1 & fact2 -> int1: ãœã«ãœã¡ãLv.31äºä»¶ã¯çºçãããããããŸã«ããŸã«ãLv.58äºä»¶ã¯çºçãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ({AA} & {AB}) fact2: ¬{A} ; $hypothesis$ = {AB} ; $proof$ = | fact1 & fact2 -> int1: ({AA} & {AB}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ããŸãLv.23ãéãè¡ããšãããšãã®ã·ã«ã·ãLv.11ã¯ç©åãŸãã | {A}{a} -> {D}{c} | fact1: ãã®ãŸã«ããŸãLv.23ã¯åœæåãã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.88ãåœæåããã°ãã®ã·ã«ã·ãLv.11ã¯ç©åãŸãã fact3: ããä»®ã«ãã®ãŸã«ããŸãLv.23ãçºè¡šãããšãããšãã®ã·ã¡ã
ã·ãLv.88ã¯åœæåãã fact4: ä»®ã«ãã®ãŸã«ããŸãLv.23ã¯éãè¡ããªãããã®ãŸã«ããŸãLv.23ã¯çºè¡šããããšããããšã¯æãç«ã€ | fact1: {C}{a} fact2: {C}{b} -> {D}{c} fact3: {B}{a} -> {C}{b} fact4: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸãLv.23ã¯éãè¡ã; fact4 & assump1 -> int1: ãã®ãŸã«ããŸãLv.23ã¯çºè¡šãã; int1 & fact3 -> int2: ãã®ã·ã¡ã
ã·ãLv.88ã¯åœæåãã; int2 & fact2 -> int3: ãã®ã·ã«ã·ãLv.11ã¯ç©åãŸãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact4 & assump1 -> int1: {B}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸã«ããŸãLv.23ã¯åœæåãã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.88ãåœæåããã°ãã®ã·ã«ã·ãLv.11ã¯ç©åãŸãã fact3: ããä»®ã«ãã®ãŸã«ããŸãLv.23ãçºè¡šãããšãããšãã®ã·ã¡ã
ã·ãLv.88ã¯åœæåãã fact4: ä»®ã«ãã®ãŸã«ããŸãLv.23ã¯éãè¡ããªãããã®ãŸã«ããŸãLv.23ã¯çºè¡šããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ãŸã«ããŸãLv.23ãéãè¡ããšãããšãã®ã·ã«ã·ãLv.11ã¯ç©åãŸãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸãLv.23ã¯éãè¡ã; fact4 & assump1 -> int1: ãã®ãŸã«ããŸãLv.23ã¯çºè¡šãã; int1 & fact3 -> int2: ãã®ã·ã¡ã
ã·ãLv.88ã¯åœæåãã; int2 & fact2 -> int3: ãã®ã·ã«ã·ãLv.11ã¯ç©åãŸãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: {C}{b} -> {D}{c} fact3: {B}{a} -> {C}{b} fact4: {A}{a} -> {B}{a} ; $hypothesis$ = {A}{a} -> {D}{c} ; $proof$ = | void -> assump1: {A}{a}; fact4 & assump1 -> int1: {B}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact2 -> int3: {D}{c}; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã¡ãã·ã®Lv.34ã¯èªèããªã | ¬{C}{d} | fact1: ä»®ã«ãã®ã·ãã·ãLv.44ãçŽéãããšããããšã¯ãªããšããããã®ã·ãã·ãLv.44ã¯äžè¡ããªã fact2: ããããã®ã·ãã·ãLv.44ãåŸãããããªãããã©çŽéãããšãããšãã®ãŽããŽã®Lv.98ã¯äžè¡ãã fact3: ãããããã®ãŽããŽã®Lv.98ã¯äžè¡ããããšããããšã¯æãç«ã€ãªããã®ãŸãªãŸã«ãLv.54ã¯ç²ãé£ã fact4: ããããã®ãŸãªãŸã«ãLv.54ãç²ãé£ããªãã°ãã®ã·ã¡ãã·ã®Lv.34ã¯èªèãã fact5: ãã®ã·ãã·ãLv.44ãåŸãããããªãã°ãã®ãŸãªãŸã«ãLv.54ã¯çŽéãã fact6: ä»®ã«ãã®ã·ãã·ãLv.44ãåããªããšããã°ããã¯åŸãããããšããããšã¯ãªããŠæŽã«ããã¯çŽéãã fact7: ããä»®ã«ãã®ãŸãªãŸã«ãLv.54ãç²ãé£ããåããªããã®ãŽããŽã®Lv.98ã¯äžè¡ãã fact8: ãã®ã·ãã·ãLv.44ã¯åããªã fact9: ãã®ãŸãªãŸã«ãLv.54ã¯æãããªã | fact1: ¬{AB}{a} -> ¬{B}{a} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: {B}{b} -> {A}{c} fact4: {A}{c} -> {C}{d} fact5: {AA}{a} -> {AB}{c} fact6: ¬{D}{a} -> (¬{AA}{a} & {AB}{a}) fact7: ({A}{c} & {D}{c}) -> {B}{b} fact8: ¬{D}{a} fact9: ¬{HT}{c} | [
"fact8 & fact6 -> int1: ãã®ã·ãã·ãLv.44ã¯åŸãããããªããçŽéãã; fact2 & int1 -> int2: ããã®ãŽããŽã®Lv.98ã¯äžè¡ããããšããããšã¯ç¢ºãã§ãã; int2 & fact3 -> int3: ãã®ãŸãªãŸã«ãLv.54ã¯ç²ãé£ã; int3 & fact4 -> hypothesis;"
] | [
"fact8 & fact6 -> int1: (¬{AA}{a} & {AB}{a}); fact2 & int1 -> int2: {B}{b}; int2 & fact3 -> int3: {A}{c}; int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ãLv.44ãçŽéãããšããããšã¯ãªããšããããã®ã·ãã·ãLv.44ã¯äžè¡ããªã fact2: ããããã®ã·ãã·ãLv.44ãåŸãããããªãããã©çŽéãããšãããšãã®ãŽããŽã®Lv.98ã¯äžè¡ãã fact3: ãããããã®ãŽããŽã®Lv.98ã¯äžè¡ããããšããããšã¯æãç«ã€ãªããã®ãŸãªãŸã«ãLv.54ã¯ç²ãé£ã fact4: ããããã®ãŸãªãŸã«ãLv.54ãç²ãé£ããªãã°ãã®ã·ã¡ãã·ã®Lv.34ã¯èªèãã fact5: ãã®ã·ãã·ãLv.44ãåŸãããããªãã°ãã®ãŸãªãŸã«ãLv.54ã¯çŽéãã fact6: ä»®ã«ãã®ã·ãã·ãLv.44ãåããªããšããã°ããã¯åŸãããããšããããšã¯ãªããŠæŽã«ããã¯çŽéãã fact7: ããä»®ã«ãã®ãŸãªãŸã«ãLv.54ãç²ãé£ããåããªããã®ãŽããŽã®Lv.98ã¯äžè¡ãã fact8: ãã®ã·ãã·ãLv.44ã¯åããªã fact9: ãã®ãŸãªãŸã«ãLv.54ã¯æãããªã ; $hypothesis$ = ãã®ã·ã¡ãã·ã®Lv.34ã¯èªèããªã ; $proof$ = | fact8 & fact6 -> int1: ãã®ã·ãã·ãLv.44ã¯åŸãããããªããçŽéãã; fact2 & int1 -> int2: ããã®ãŽããŽã®Lv.98ã¯äžè¡ããããšããããšã¯ç¢ºãã§ãã; int2 & fact3 -> int3: ãã®ãŸãªãŸã«ãLv.54ã¯ç²ãé£ã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{AB}{a} -> ¬{B}{a} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: {B}{b} -> {A}{c} fact4: {A}{c} -> {C}{d} fact5: {AA}{a} -> {AB}{c} fact6: ¬{D}{a} -> (¬{AA}{a} & {AB}{a}) fact7: ({A}{c} & {D}{c}) -> {B}{b} fact8: ¬{D}{a} fact9: ¬{HT}{c} ; $hypothesis$ = ¬{C}{d} ; $proof$ = | fact8 & fact6 -> int1: (¬{AA}{a} & {AB}{a}); fact2 & int1 -> int2: {B}{b}; int2 & fact3 -> int3: {A}{c}; int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®ã¿ã®ã¿ãLv.78ãåŠå®ãé£ããªããã®ãŸã¡ã
ãŸã®Lv.24ã¯èŠçªããã | {A}{a} -> {B}{b} | fact1: ããããã®ãŸã¡ã
ãŸã®Lv.24ãç±äžãå§ãããªããã®ãŸã¡ã
ãŸã®Lv.24ã¯èŠçªããã fact2: ä»®ã«ããã®ãŸã¡ã
ãŸã®Lv.24ã¯ç±äžãå§ããªããããã¯æãã¿ç¡ãããšããããšã¯èª€ãã§ãããšããã°èŠçªããã | fact1: {AA}{b} -> {B}{b} fact2: ¬(¬{AA}{b} & {AB}{b}) -> {B}{b} | [] | [] | null | null | [] | null | 4 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãŸã¡ã
ãŸã®Lv.24ãç±äžãå§ãããªããã®ãŸã¡ã
ãŸã®Lv.24ã¯èŠçªããã fact2: ä»®ã«ããã®ãŸã¡ã
ãŸã®Lv.24ã¯ç±äžãå§ããªããããã¯æãã¿ç¡ãããšããããšã¯èª€ãã§ãããšããã°èŠçªããã ; $hypothesis$ = ããããã®ã¿ã®ã¿ãLv.78ãåŠå®ãé£ããªããã®ãŸã¡ã
ãŸã®Lv.24ã¯èŠçªããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AA}{b} -> {B}{b} fact2: ¬(¬{AA}{b} & {AB}{b}) -> {B}{b} ; $hypothesis$ = {A}{a} -> {B}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | 責ãèãããšãçããã倩çããããšããããšãèµ·ãã | ({C} & {D}) | fact1: 責ãèãããšã¯ãŽããŽãLv.65äºä»¶ã«èªçºããã fact2: ãŽã«ãŽãLv.82äºä»¶ãèµ·ããããŸãã¯ãŽããŽãLv.65äºä»¶ãçºçãã fact3: 倩çããããšããããšãèµ·ãã fact4: ãŽã«ãŽãLv.82äºä»¶ã¯è²¬ãèãããšãçºçããã fact5: æ°é£ãããšããããšãçºçããããã®äžãããã«ãLv.49äºä»¶ãçãã fact6: ãããŽã«ãŽãLv.82äºä»¶ã¯çºçããªããªãã°ã責ãèãããšãèµ·ãããæŽã«å€©çããããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact7: ããŽã«ãŽãLv.82äºä»¶ãèµ·ãããã©ã¿ãªã¿ãLv.26äºä»¶ã¯çºçããªãããšããããšã¯èª€ã£ãŠããã°ãŽã«ãŽãLv.82äºä»¶ã¯çºçããªã fact8: ããããŽããŽãLv.65äºä»¶ãèµ·ãããšããããããŽã«ãŽãLv.82äºä»¶ãèµ·ãããã¿ãªã¿ãLv.26äºä»¶ã¯çºçããªãããšããããšã¯åã§ããããšããããšã¯äºå®ã | fact1: {B} -> {C} fact2: ({A} v {B}) fact3: {D} fact4: {A} -> {C} fact5: ({F} & {AM}) fact6: ¬{A} -> ¬({C} & {D}) fact7: ¬({A} & ¬{E}) -> ¬{A} fact8: {B} -> ¬({A} & ¬{E}) | [
"fact2 & fact4 & fact1 -> int1: 責ãèãããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact4 & fact1 -> int1: {C}; int1 & fact3 -> hypothesis;"
] | ã責ãèãããšãçããããã€å€©çããããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({C} & {D}) | [] | 8 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 責ãèãããšã¯ãŽããŽãLv.65äºä»¶ã«èªçºããã fact2: ãŽã«ãŽãLv.82äºä»¶ãèµ·ããããŸãã¯ãŽããŽãLv.65äºä»¶ãçºçãã fact3: 倩çããããšããããšãèµ·ãã fact4: ãŽã«ãŽãLv.82äºä»¶ã¯è²¬ãèãããšãçºçããã fact5: æ°é£ãããšããããšãçºçããããã®äžãããã«ãLv.49äºä»¶ãçãã fact6: ãããŽã«ãŽãLv.82äºä»¶ã¯çºçããªããªãã°ã責ãèãããšãèµ·ãããæŽã«å€©çããããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact7: ããŽã«ãŽãLv.82äºä»¶ãèµ·ãããã©ã¿ãªã¿ãLv.26äºä»¶ã¯çºçããªãããšããããšã¯èª€ã£ãŠããã°ãŽã«ãŽãLv.82äºä»¶ã¯çºçããªã fact8: ããããŽããŽãLv.65äºä»¶ãèµ·ãããšããããããŽã«ãŽãLv.82äºä»¶ãèµ·ãããã¿ãªã¿ãLv.26äºä»¶ã¯çºçããªãããšããããšã¯åã§ããããšããããšã¯äºå®ã ; $hypothesis$ = 責ãèãããšãçããã倩çããããšããããšãèµ·ãã ; $proof$ = | fact2 & fact4 & fact1 -> int1: 責ãèãããšãèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: ({A} v {B}) fact3: {D} fact4: {A} -> {C} fact5: ({F} & {AM}) fact6: ¬{A} -> ¬({C} & {D}) fact7: ¬({A} & ¬{E}) -> ¬{A} fact8: {B} -> ¬({A} & ¬{E}) ; $hypothesis$ = ({C} & {D}) ; $proof$ = | fact2 & fact4 & fact1 -> int1: {C}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãç®æ°ãããšããããšã¯ãŽã«ã
ãŽãªLv.66äºä»¶ããã£ããã ããšããããšã¯æãç«ããªã | ¬({B} -> {D}) | fact1: ãŽãªãŽã¡ãLv.93äºä»¶ãããã«ããã¡ã
Lv.99äºä»¶ã¯èµ·ããªãããšããããšããããã¯ãŽã«ã
ãŽãªLv.66äºä»¶ã¯åå ã fact2: ãŽãªãŽã¡ãLv.93äºä»¶ã¯ç®æ°ãããšããããšãæã | fact1: (¬{A} v {B}) -> {C} fact2: {C} -> {D} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããŽã«ã
ãŽãªLv.66äºä»¶ãçãã; assump1 -> int1: ãã«ããã¡ã
Lv.99äºä»¶ã¯èµ·ããªãããããã¯ãŽã«ã
ãŽãªLv.66äºä»¶ãçããããŸãã¯äž¡æ¹ã§ãã; int1 & fact1 -> int2: ãŽãªãŽã¡ãLv.93äºä»¶ãçãã; int2 & fact2 -> int3: ç®æ°ãããšããããšãçºçãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: (¬{A} v {B}); int1 & fact1 -> int2: {C}; int2 & fact2 -> int3: {D}; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŽãªãŽã¡ãLv.93äºä»¶ãããã«ããã¡ã
Lv.99äºä»¶ã¯èµ·ããªãããšããããšããããã¯ãŽã«ã
ãŽãªLv.66äºä»¶ã¯åå ã fact2: ãŽãªãŽã¡ãLv.93äºä»¶ã¯ç®æ°ãããšããããšãæã ; $hypothesis$ = ãç®æ°ãããšããããšã¯ãŽã«ã
ãŽãªLv.66äºä»¶ããã£ããã ããšããããšã¯æãç«ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããŽã«ã
ãŽãªLv.66äºä»¶ãçãã; assump1 -> int1: ãã«ããã¡ã
Lv.99äºä»¶ã¯èµ·ããªãããããã¯ãŽã«ã
ãŽãªLv.66äºä»¶ãçããããŸãã¯äž¡æ¹ã§ãã; int1 & fact1 -> int2: ãŽãªãŽã¡ãLv.93äºä»¶ãçãã; int2 & fact2 -> int3: ç®æ°ãããšããããšãçºçãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{A} v {B}) -> {C} fact2: {C} -> {D} ; $hypothesis$ = ¬({B} -> {D}) ; $proof$ = | void -> assump1: {B}; assump1 -> int1: (¬{A} v {B}); int1 & fact1 -> int2: {C}; int2 & fact2 -> int3: {D}; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã®ãœã«ãLv.70ã¯æ¬²æ·±ããªãããããåã | (¬{B}{a} & {C}{a}) | fact1: ç· ãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããã®ãœã®ãœã«ãLv.70ã¯æ¬²æ·±ããããã¯åãããšããããšã¯æãç«ããªã fact3: ãåããªããã¢ã³ã¹ã¿ãŒã¯ãã fact4: äœããã®ã¢ã³ã¹ã¿ãŒã¯ç· ãã£ãœã fact5: ç· ãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãœã®ãœã«ãLv.70ã¯æ¬²æ·±ãããããåãããšããããšã¯èª€ãã | fact1: (Ex): ¬{A}x fact2: ¬({B}{a} & {C}{a}) fact3: (Ex): ¬{C}x fact4: (Ex): {A}x fact5: (x): ¬{A}x -> ¬({B}{a} & {C}{a}) | [
"fact1 -> int1: ç· ãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ãã;"
] | [
"fact1 -> int1: (Ex): ¬{A}x;"
] | null | null | [] | null | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ç· ãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããã®ãœã®ãœã«ãLv.70ã¯æ¬²æ·±ããããã¯åãããšããããšã¯æãç«ããªã fact3: ãåããªããã¢ã³ã¹ã¿ãŒã¯ãã fact4: äœããã®ã¢ã³ã¹ã¿ãŒã¯ç· ãã£ãœã fact5: ç· ãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ããã°ããã®ãœã®ãœã«ãLv.70ã¯æ¬²æ·±ãããããåãããšããããšã¯èª€ãã ; $hypothesis$ = ãã®ãœã®ãœã«ãLv.70ã¯æ¬²æ·±ããªãããããåã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ¬{A}x fact2: ¬({B}{a} & {C}{a}) fact3: (Ex): ¬{C}x fact4: (Ex): {A}x fact5: (x): ¬{A}x -> ¬({B}{a} & {C}{a}) ; $hypothesis$ = (¬{B}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽã«ããŽãLv.48ã¯é¢ãé£ããªãããšããããšã¯äºå®ã§ãã | ¬{A}{a} | fact1: ããä»®ã«ãã®ãŽã«ããŽãLv.48ã¯é¢ãé£ããšããããããã¯æ¥œããã©æµã¿æ·±ããªãããšããããšã¯åœã§ãã fact2: éŠããã¢ã³ã¹ã¿ãŒã¯é¢ãé£ããªããŠãããçºãŸãæããªã fact3: ãããã®ãã«ããã¡ãLv.4ãæãŸãæããªããªãã°ãã®ãŽã«ããŽãLv.48ã¯æ¢ãç¡ããŠããã«ããã¯åºçŸãæã fact4: æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯é¢ãé£ããæŽã«éŠãã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒãæ¢ãç¡ããšãããããã¯æããªã fact6: ä»®ã«ããã®ãŽã«ããŽãLv.48ã¯æ¥œãäžæ¹ã§æµã¿æ·±ããªãããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ãã«ããã¡ãLv.4ã¯éŠãããªã | fact1: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact2: (x): {B}x -> (¬{A}x & ¬{CJ}x) fact3: ¬{F}{b} -> ({D}{a} & {E}{a}) fact4: (x): ¬{C}x -> ({A}x & {B}x) fact5: (x): {D}x -> ¬{C}x fact6: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽãLv.48ã¯é¢ãé£ã; fact1 & assump1 -> int1: ããã®ãŽã«ããŽãLv.48ã¯æ¥œãäžæ¹ã§æµã¿æ·±ããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact6 -> int2: ãã®ãã«ããã¡ãLv.4ã¯éŠãããªã;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact6 -> int2: ¬{B}{b};"
] | 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽãLv.48ã¯é¢ãé£ã | {A}{a} | [
"fact7 -> int3: ãããã®ãŽã«ããŽãLv.48ãæããªããªãã°ãã®ãŽã«ããŽãLv.48ã¯é¢ãé£ããéŠãã; fact8 -> int4: ä»®ã«ããã®ãŽã«ããŽãLv.48ã¯æ¢ãç¡ãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãŽã«ããŽãLv.48ã¯æããªã;"
] | 6 | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽã«ããŽãLv.48ã¯é¢ãé£ããšããããããã¯æ¥œããã©æµã¿æ·±ããªãããšããããšã¯åœã§ãã fact2: éŠããã¢ã³ã¹ã¿ãŒã¯é¢ãé£ããªããŠãããçºãŸãæããªã fact3: ãããã®ãã«ããã¡ãLv.4ãæãŸãæããªããªãã°ãã®ãŽã«ããŽãLv.48ã¯æ¢ãç¡ããŠããã«ããã¯åºçŸãæã fact4: æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯é¢ãé£ããæŽã«éŠãã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒãæ¢ãç¡ããšãããããã¯æããªã fact6: ä»®ã«ããã®ãŽã«ããŽãLv.48ã¯æ¥œãäžæ¹ã§æµã¿æ·±ããªãããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ãã«ããã¡ãLv.4ã¯éŠãããªã ; $hypothesis$ = ããã®ãŽã«ããŽãLv.48ã¯é¢ãé£ããªãããšããããšã¯äºå®ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact2: (x): {B}x -> (¬{A}x & ¬{CJ}x) fact3: ¬{F}{b} -> ({D}{a} & {E}{a}) fact4: (x): ¬{C}x -> ({A}x & {B}x) fact5: (x): {D}x -> ¬{C}x fact6: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.81ã¯çèããªã | ¬{AB}{b} | fact1: ããããã®ã¿ãã¿ãLv.87ãç©ããªããšããã°ãã®ããããLv.81ã¯æ ŒçŽããããããçèã fact2: ãã®ã¿ãã¿ãLv.87ã¯ç©ããªã | fact1: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact2: ¬{A}{a} | [
"fact1 & fact2 -> int1: ãã®ããããLv.81ã¯æ ŒçŽããããã€çèã; int1 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ({AA}{b} & {AB}{b}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã¿ãã¿ãLv.87ãç©ããªããšããã°ãã®ããããLv.81ã¯æ ŒçŽããããããçèã fact2: ãã®ã¿ãã¿ãLv.87ã¯ç©ããªã ; $hypothesis$ = ãã®ããããLv.81ã¯çèããªã ; $proof$ = | fact1 & fact2 -> int1: ãã®ããããLv.81ã¯æ ŒçŽããããã€çèã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact2: ¬{A}{a} ; $hypothesis$ = ¬{AB}{b} ; $proof$ = | fact1 & fact2 -> int1: ({AA}{b} & {AB}{b}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã®Lv.56ã¯å·ãæã | {H}{d} | fact1: ããããã®ãŸã®ãŸã¡ãLv.28ãé¢åèããšããã°ãã®ã¿ãã¿ãLv.65ã¯ç²é«ããšããããšã¯ãªããã©ããã¯åéãã fact2: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãç²é«ããªããšãããšããã¯é¢åèããªãããããç±ã
ãã fact3: ãã®ãŸã®ãŸã¡ãLv.28ã¯ç±ã
ãã fact4: ä»®ã«ãã®ãŸã®ãŸã¡ãLv.28ãé¢åèããªãããããç±ã
ãããšãããšãã®ã¿ãã¿ãLv.65ã¯èš±ãé£ã fact5: ãã®ãŽã¡ã
ãŽãLv.14ã¯ç²é«ã fact6: ããä»®ã«ãã®ãœãªãœãLv.98ãèš±ãé£ããŠããã«ãããçšå¿æ·±ããšãããšãã®ãŸããŸã®Lv.56ã¯å·ãæããªã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.65ãç²é«ããªãããã©åéãããšããã°ãã®ã¿ãã¿ãLv.65ã¯æãé£ããªã fact8: ä»®ã«ããã®ãŸã®ãŸã¡ãLv.28ã¯ç±ã
ãããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŸã®ãŸã¡ãLv.28ã¯é¢åèã fact9: ãããã®ã¿ãã¿ãLv.65ãæãé£ããªããšããããã®ãœãªãœãLv.98ã¯èš±ãé£ããããã«ããã¯çšå¿æ·±ã | fact1: {B}{a} -> (¬{C}{b} & {D}{b}) fact2: (x): ¬{C}x -> (¬{B}x & {A}x) fact3: {A}{a} fact4: (¬{B}{a} & {A}{a}) -> {F}{b} fact5: {C}{fr} fact6: ({F}{c} & {G}{c}) -> ¬{H}{d} fact7: (¬{C}{b} & {D}{b}) -> ¬{E}{b} fact8: {A}{a} -> {B}{a} fact9: ¬{E}{b} -> ({F}{c} & {G}{c}) | [
"fact8 & fact3 -> int1: ãã®ãŸã®ãŸã¡ãLv.28ã¯é¢åèã; int1 & fact1 -> int2: ãã®ã¿ãã¿ãLv.65ã¯ç²é«ããªãããããåéãã; int2 & fact7 -> int3: ãã®ã¿ãã¿ãLv.65ã¯æãé£ããªã; int3 & fact9 -> int4: ãã®ãœãªãœãLv.98ã¯èš±ãé£ããçšå¿æ·±ã; int4 & fact6 -> hypothesis;"
] | [
"fact8 & fact3 -> int1: {B}{a}; int1 & fact1 -> int2: (¬{C}{b} & {D}{b}); int2 & fact7 -> int3: ¬{E}{b}; int3 & fact9 -> int4: ({F}{c} & {G}{c}); int4 & fact6 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.65ã¯èš±ãé£ã | {F}{b} | [
"fact10 -> int5: ããä»®ã«ãã®ãŸã®ãŸã¡ãLv.28ãç²é«ããªããªãã°ãã®ãŸã®ãŸã¡ãLv.28ã¯é¢åèããªãããã©ç±ã
ãã;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸã®ãŸã¡ãLv.28ãé¢åèããšããã°ãã®ã¿ãã¿ãLv.65ã¯ç²é«ããšããããšã¯ãªããã©ããã¯åéãã fact2: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãç²é«ããªããšãããšããã¯é¢åèããªãããããç±ã
ãã fact3: ãã®ãŸã®ãŸã¡ãLv.28ã¯ç±ã
ãã fact4: ä»®ã«ãã®ãŸã®ãŸã¡ãLv.28ãé¢åèããªãããããç±ã
ãããšãããšãã®ã¿ãã¿ãLv.65ã¯èš±ãé£ã fact5: ãã®ãŽã¡ã
ãŽãLv.14ã¯ç²é«ã fact6: ããä»®ã«ãã®ãœãªãœãLv.98ãèš±ãé£ããŠããã«ãããçšå¿æ·±ããšãããšãã®ãŸããŸã®Lv.56ã¯å·ãæããªã fact7: ããä»®ã«ãã®ã¿ãã¿ãLv.65ãç²é«ããªãããã©åéãããšããã°ãã®ã¿ãã¿ãLv.65ã¯æãé£ããªã fact8: ä»®ã«ããã®ãŸã®ãŸã¡ãLv.28ã¯ç±ã
ãããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŸã®ãŸã¡ãLv.28ã¯é¢åèã fact9: ãããã®ã¿ãã¿ãLv.65ãæãé£ããªããšããããã®ãœãªãœãLv.98ã¯èš±ãé£ããããã«ããã¯çšå¿æ·±ã ; $hypothesis$ = ãã®ãŸããŸã®Lv.56ã¯å·ãæã ; $proof$ = | fact8 & fact3 -> int1: ãã®ãŸã®ãŸã¡ãLv.28ã¯é¢åèã; int1 & fact1 -> int2: ãã®ã¿ãã¿ãLv.65ã¯ç²é«ããªãããããåéãã; int2 & fact7 -> int3: ãã®ã¿ãã¿ãLv.65ã¯æãé£ããªã; int3 & fact9 -> int4: ãã®ãœãªãœãLv.98ã¯èš±ãé£ããçšå¿æ·±ã; int4 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> (¬{C}{b} & {D}{b}) fact2: (x): ¬{C}x -> (¬{B}x & {A}x) fact3: {A}{a} fact4: (¬{B}{a} & {A}{a}) -> {F}{b} fact5: {C}{fr} fact6: ({F}{c} & {G}{c}) -> ¬{H}{d} fact7: (¬{C}{b} & {D}{b}) -> ¬{E}{b} fact8: {A}{a} -> {B}{a} fact9: ¬{E}{b} -> ({F}{c} & {G}{c}) ; $hypothesis$ = {H}{d} ; $proof$ = | fact8 & fact3 -> int1: {B}{a}; int1 & fact1 -> int2: (¬{C}{b} & {D}{b}); int2 & fact7 -> int3: ¬{E}{b}; int3 & fact9 -> int4: ({F}{c} & {G}{c}); int4 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœã«ããœãLv.67ã¯é
·ããšããããšã¯ãªãããšããããšã¯çå®ã | ¬{E}{a} | fact1: ä»®ã«ãã®ãœã«ããœãLv.67ãå¿å®ããªããªãã°é
·ããªã fact2: ãã®ãã¡ããã¡ãLv.41ã¯æã fact3: ä»®ã«ãã®ãœã«ããœãLv.67ã眹æ£ãæãããã®äžãããåªããšããããã®ãœã«ããœãLv.67ã¯å¿å®ããªã fact4: ãã®ãœã«ããœãLv.67ã¯æã fact5: ãã®ãœã«ããœãLv.67ã¯åªã fact6: ããããã®ãŽã«ã
ãŽãLv.61ãç°èã£ãœããªããªãã°é
·ããªã fact7: ããä»®ã«ãã®ãœã«ããœãLv.67ãåªããã©æããªããšãããšãã®ã¿ãã¿ãLv.63ã¯çœ¹æ£ãæããªã fact8: ããä»®ã«ããã®ãœã«ããœãLv.67ã¯æãããšããããšã¯æãç«ã€ãªããã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæã fact9: ãã®ãœã«ããœãLv.67ã¯ç©æ²ãããªã fact10: ããã®ãŽã«ã
ãŽãLv.61ã¯åªããªããšãããšããã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæããŠå ããŠããã¯å¿å®ãããšããããšã¯ééã£ãŠããããšããããšã¯ééãã§ãªã | fact1: ¬{D}{a} -> ¬{E}{a} fact2: {A}{em} fact3: ({B}{a} & {C}{a}) -> ¬{D}{a} fact4: {A}{a} fact5: {C}{a} fact6: ¬{F}{b} -> ¬{E}{b} fact7: ({C}{a} & ¬{A}{a}) -> ¬{B}{en} fact8: {A}{a} -> {B}{a} fact9: ¬{AH}{a} fact10: ¬{C}{b} -> ¬({B}{a} & {D}{a}) | [
"fact8 & fact4 -> int1: ãã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæã; int1 & fact5 -> int2: ãã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæããããã«åªã; int2 & fact3 -> int3: ãã®ãœã«ããœãLv.67ã¯å¿å®ããªã; int3 & fact1 -> hypothesis;"
] | [
"fact8 & fact4 -> int1: {B}{a}; int1 & fact5 -> int2: ({B}{a} & {C}{a}); int2 & fact3 -> int3: ¬{D}{a}; int3 & fact1 -> hypothesis;"
] | ãã®ãœã«ããœãLv.67ã¯é
·ã | {E}{a} | [] | 4 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœã«ããœãLv.67ãå¿å®ããªããªãã°é
·ããªã fact2: ãã®ãã¡ããã¡ãLv.41ã¯æã fact3: ä»®ã«ãã®ãœã«ããœãLv.67ã眹æ£ãæãããã®äžãããåªããšããããã®ãœã«ããœãLv.67ã¯å¿å®ããªã fact4: ãã®ãœã«ããœãLv.67ã¯æã fact5: ãã®ãœã«ããœãLv.67ã¯åªã fact6: ããããã®ãŽã«ã
ãŽãLv.61ãç°èã£ãœããªããªãã°é
·ããªã fact7: ããä»®ã«ãã®ãœã«ããœãLv.67ãåªããã©æããªããšãããšãã®ã¿ãã¿ãLv.63ã¯çœ¹æ£ãæããªã fact8: ããä»®ã«ããã®ãœã«ããœãLv.67ã¯æãããšããããšã¯æãç«ã€ãªããã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæã fact9: ãã®ãœã«ããœãLv.67ã¯ç©æ²ãããªã fact10: ããã®ãŽã«ã
ãŽãLv.61ã¯åªããªããšãããšããã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæããŠå ããŠããã¯å¿å®ãããšããããšã¯ééã£ãŠããããšããããšã¯ééãã§ãªã ; $hypothesis$ = ããã®ãœã«ããœãLv.67ã¯é
·ããšããããšã¯ãªãããšããããšã¯çå®ã ; $proof$ = | fact8 & fact4 -> int1: ãã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæã; int1 & fact5 -> int2: ãã®ãœã«ããœãLv.67ã¯çœ¹æ£ãæããããã«åªã; int2 & fact3 -> int3: ãã®ãœã«ããœãLv.67ã¯å¿å®ããªã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D}{a} -> ¬{E}{a} fact2: {A}{em} fact3: ({B}{a} & {C}{a}) -> ¬{D}{a} fact4: {A}{a} fact5: {C}{a} fact6: ¬{F}{b} -> ¬{E}{b} fact7: ({C}{a} & ¬{A}{a}) -> ¬{B}{en} fact8: {A}{a} -> {B}{a} fact9: ¬{AH}{a} fact10: ¬{C}{b} -> ¬({B}{a} & {D}{a}) ; $hypothesis$ = ¬{E}{a} ; $proof$ = | fact8 & fact4 -> int1: {B}{a}; int1 & fact5 -> int2: ({B}{a} & {C}{a}); int2 & fact3 -> int3: ¬{D}{a}; int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã«ããœãLv.27ã¯èµ·ããé£ã | {C}{b} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯å·®å¥ããã倪ããªã fact2: ãã®ãããã¡ã
Lv.13ãåã£ä»ãæãããããã¯çµåãæãããããã¯äž¡æ¹ãªããã®ãœã«ããœãLv.27ã¯èµ·ããé£ããªã fact3: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãå·®å¥ãããªãããã¯çµåãæããªããŠãŸãããã¯å€ªããªã fact4: ãã®ãŽããŽã®Lv.36ã¯çµåãæããªã | fact1: (x): ({E}x & ¬{D}x) fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} fact3: (x): {E}x -> (¬{B}x & ¬{D}x) fact4: ¬{B}{de} | [] | [] | ããã®ãããã¡ã
Lv.13ã¯èµ·ããé£ãããšããããšã¯æãç«ã€ | {C}{a} | [
"fact5 -> int1: ãã®ãœãªãœãªLv.83ã¯å·®å¥ãããããã¯å€ªããªã; int1 -> int2: ãã®ãœãªãœãªLv.83ã¯å€ªããªã; int2 -> int3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å€ªããªã; int3 -> int4: ãã®ãœã«ããœãLv.27ã¯å€ªããªã;"
] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯å·®å¥ããã倪ããªã fact2: ãã®ãããã¡ã
Lv.13ãåã£ä»ãæãããããã¯çµåãæãããããã¯äž¡æ¹ãªããã®ãœã«ããœãLv.27ã¯èµ·ããé£ããªã fact3: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãå·®å¥ãããªãããã¯çµåãæããªããŠãŸãããã¯å€ªããªã fact4: ãã®ãŽããŽã®Lv.36ã¯çµåãæããªã ; $hypothesis$ = ãã®ãœã«ããœãLv.27ã¯èµ·ããé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({E}x & ¬{D}x) fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} fact3: (x): {E}x -> (¬{B}x & ¬{D}x) fact4: ¬{B}{de} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã¡ãã·ã«Lv.42ã¯æ¯èŠãããªã | ¬{D}{b} | fact1: ãããã®ãŸããŸã«ãLv.90ãå¡©èŸããªããªãææãæããŠå ããŠãšãã fact2: ããã®ãŸããŸã«ãLv.90ã¯å€§äººãããšããããšã¯æãç«ã€ fact3: ãã®ãŸããŸã«ãLv.90ãææãæããæŽã«å€§äººããšããããã®ã·ã¡ãã·ã«Lv.42ã¯æ¯èŠãããªã fact4: ä»®ã«ãã®ããããLv.62ãå¡©èŸããŠãŸã倧人ããªããã®ãŸããŸã«ãLv.90ã¯ãšãããªã fact5: ãã®ãŸããŸã«ãLv.90ã¯å¡©èŸããªã | fact1: ¬{E}{a} -> ({A}{a} & {B}{a}) fact2: {C}{a} fact3: ({A}{a} & {C}{a}) -> ¬{D}{b} fact4: ({E}{c} & {C}{c}) -> ¬{B}{a} fact5: ¬{E}{a} | [
"fact5 & fact1 -> int1: ãã®ãŸããŸã«ãLv.90ã¯ææãæãããšãã; int1 -> int2: ãã®ãŸããŸã«ãLv.90ã¯ææãæã; int2 & fact2 -> int3: ãã®ãŸããŸã«ãLv.90ã¯ææãæããŠå€§äººã; int3 & fact3 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact2 -> int3: ({A}{a} & {C}{a}); int3 & fact3 -> hypothesis;"
] | ãã®ã·ã¡ãã·ã«Lv.42ã¯æ¯èŠãã | {D}{b} | [] | 6 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŸããŸã«ãLv.90ãå¡©èŸããªããªãææãæããŠå ããŠãšãã fact2: ããã®ãŸããŸã«ãLv.90ã¯å€§äººãããšããããšã¯æãç«ã€ fact3: ãã®ãŸããŸã«ãLv.90ãææãæããæŽã«å€§äººããšããããã®ã·ã¡ãã·ã«Lv.42ã¯æ¯èŠãããªã fact4: ä»®ã«ãã®ããããLv.62ãå¡©èŸããŠãŸã倧人ããªããã®ãŸããŸã«ãLv.90ã¯ãšãããªã fact5: ãã®ãŸããŸã«ãLv.90ã¯å¡©èŸããªã ; $hypothesis$ = ãã®ã·ã¡ãã·ã«Lv.42ã¯æ¯èŠãããªã ; $proof$ = | fact5 & fact1 -> int1: ãã®ãŸããŸã«ãLv.90ã¯ææãæãããšãã; int1 -> int2: ãã®ãŸããŸã«ãLv.90ã¯ææãæã; int2 & fact2 -> int3: ãã®ãŸããŸã«ãLv.90ã¯ææãæããŠå€§äººã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E}{a} -> ({A}{a} & {B}{a}) fact2: {C}{a} fact3: ({A}{a} & {C}{a}) -> ¬{D}{b} fact4: ({E}{c} & {C}{c}) -> ¬{B}{a} fact5: ¬{E}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact2 -> int3: ({A}{a} & {C}{a}); int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããããLv.21äºä»¶ã¯èµ·ãããªã | ¬{D} | fact1: ãŸããŸãLv.22äºä»¶ã¯çããªããšããããšã¯ããŽã¡ã
ãŽã¡ãLv.51äºä»¶ã¯èµ·ãããªãããšããããšãé»æ¢ãã fact2: ããŽã¡ã
ãŽã¡ãLv.51äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact3: ããæšããšããããšãèµ·ãããæãããšããããšãèµ·ãããšãããããããLv.21äºä»¶ã¯èµ·ãããªã fact4: ãŸããŸãLv.22äºä»¶ã¯èµ·ããªããšããããšã¯ãæšããšããããšãèµ·ããããã®äžãŽã¡ã
ãŽã¡ãLv.51äºä»¶ãçããããšããããšãæã fact5: ãããŽã¡ã
ãŽã¡ãLv.51äºä»¶ãçããªããšãããšããããLv.21äºä»¶ãèµ·ãããããã«æšããšããããšã¯çºçãã fact6: ãŸããŸãLv.22äºä»¶ã¯çããªã fact7: æãããšããããšãçºçãã | fact1: ¬{E} -> {B} fact2: {B} fact3: ({A} & {C}) -> ¬{D} fact4: ¬{E} -> ({A} & {B}) fact5: ¬{B} -> ({D} & {A}) fact6: ¬{E} fact7: {C} | [
"fact6 & fact4 -> int1: æšããšããããšãèµ·ããããã€ãŽã¡ã
ãŽã¡ãLv.51äºä»¶ãçãã; int1 -> int2: æšããšããããšãèµ·ãã; int2 & fact7 -> int3: æšããšããããšãèµ·ãããããã«æãããšããããšãèµ·ãã; int3 & fact3 -> hypothesis;"
] | [
"fact6 & fact4 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact7 -> int3: ({A} & {C}); int3 & fact3 -> hypothesis;"
] | ããããLv.21äºä»¶ãèµ·ãã | {D} | [] | 6 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŸããŸãLv.22äºä»¶ã¯çããªããšããããšã¯ããŽã¡ã
ãŽã¡ãLv.51äºä»¶ã¯èµ·ãããªãããšããããšãé»æ¢ãã fact2: ããŽã¡ã
ãŽã¡ãLv.51äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact3: ããæšããšããããšãèµ·ãããæãããšããããšãèµ·ãããšãããããããLv.21äºä»¶ã¯èµ·ãããªã fact4: ãŸããŸãLv.22äºä»¶ã¯èµ·ããªããšããããšã¯ãæšããšããããšãèµ·ããããã®äžãŽã¡ã
ãŽã¡ãLv.51äºä»¶ãçããããšããããšãæã fact5: ãããŽã¡ã
ãŽã¡ãLv.51äºä»¶ãçããªããšãããšããããLv.21äºä»¶ãèµ·ãããããã«æšããšããããšã¯çºçãã fact6: ãŸããŸãLv.22äºä»¶ã¯çããªã fact7: æãããšããããšãçºçãã ; $hypothesis$ = ããããLv.21äºä»¶ã¯èµ·ãããªã ; $proof$ = | fact6 & fact4 -> int1: æšããšããããšãèµ·ããããã€ãŽã¡ã
ãŽã¡ãLv.51äºä»¶ãçãã; int1 -> int2: æšããšããããšãèµ·ãã; int2 & fact7 -> int3: æšããšããããšãèµ·ãããããã«æãããšããããšãèµ·ãã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> {B} fact2: {B} fact3: ({A} & {C}) -> ¬{D} fact4: ¬{E} -> ({A} & {B}) fact5: ¬{B} -> ({D} & {A}) fact6: ¬{E} fact7: {C} ; $hypothesis$ = ¬{D} ; $proof$ = | fact6 & fact4 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact7 -> int3: ({A} & {C}); int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªã | ¬{A}{a} | fact1: ãããããã®ã¿ãã¿ã«ã
Lv.32ã¯éãç¡ããããã¯å°œããé£ããªããäž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãããªããã®ã¿ãã¿ã«ã
Lv.32ã¯æœå·¥ãã fact2: ããã®ã¿ãã¿ã«ã
Lv.32ã¯éãç¡ããå°œããé£ããªãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªã fact3: ããã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªããã©ããã¯æœå·¥ããããšããããšã¯èª€ã£ãŠãã | fact1: ¬({AA}{a} v ¬{AB}{a}) -> {B}{a} fact2: ¬({AA}{a} v ¬{AB}{a}) fact3: ¬(¬{A}{a} & {B}{a}) | [
"fact1 & fact2 -> int1: ãã®ã¿ãã¿ã«ã
Lv.32ã¯æœå·¥ãã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªã; int1 & assump1 -> int2: ãã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªããã©ããã¯æœå·¥ãã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: {B}{a}; void -> assump1: ¬{A}{a}; int1 & assump1 -> int2: (¬{A}{a} & {B}{a}); int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããããã®ã¿ãã¿ã«ã
Lv.32ã¯éãç¡ããããã¯å°œããé£ããªããäž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãããªããã®ã¿ãã¿ã«ã
Lv.32ã¯æœå·¥ãã fact2: ããã®ã¿ãã¿ã«ã
Lv.32ã¯éãç¡ããå°œããé£ããªãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªã fact3: ããã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªããã©ããã¯æœå·¥ããããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªã ; $proof$ = | fact1 & fact2 -> int1: ãã®ã¿ãã¿ã«ã
Lv.32ã¯æœå·¥ãã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªã; int1 & assump1 -> int2: ãã®ã¿ãã¿ã«ã
Lv.32ã¯ç®èã£ãœããªããã©ããã¯æœå·¥ãã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{a} v ¬{AB}{a}) -> {B}{a} fact2: ¬({AA}{a} v ¬{AB}{a}) fact3: ¬(¬{A}{a} & {B}{a}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 & fact2 -> int1: {B}{a}; void -> assump1: ¬{A}{a}; int1 & assump1 -> int2: (¬{A}{a} & {B}{a}); int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããããããLv.15äºä»¶ãèµ·ããªãããŸããŽã«ãŽãLv.5äºä»¶ã¯çºçããªã | (¬{AA} & ¬{AB}) | fact1: ãããããLv.15äºä»¶ã¯çºçããªãããšããããšã¯ãæšç®çŽ°ãããšããããšã¯çããªãããšããããšã«èªçºããã fact2: ããæ¶æ£ããããšã¯çããªããšããããæšç®çŽ°ãããšããããšã¯çºçããªããŠçŸãããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã fact3: ãããæšç®çŽ°ãããšããããšãèµ·ãããæŽã«ã¿ãã¿ã®Lv.64äºä»¶ãèµ·ããããšããããšã¯åœã ãšãããšæšç®çŽ°ãããšããããšã¯èµ·ããªã fact4: æšç®çŽ°ãããšããããšã§ã¯ãªãçŸãããšããããšãçºçãã | fact1: ¬{A} -> ¬{AA} fact2: ¬{B} -> ¬(¬{A} & {C}) fact3: ¬({A} & {E}) -> ¬{A} fact4: (¬{A} & {C}) | [] | [] | 以äžã®ããã«ä»®å®ãããããããLv.15äºä»¶ãèµ·ããªãããŸããŽã«ãŽãLv.5äºä»¶ã¯çºçããªã | (¬{AA} & ¬{AB}) | [] | 4 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããLv.15äºä»¶ã¯çºçããªãããšããããšã¯ãæšç®çŽ°ãããšããããšã¯çããªãããšããããšã«èªçºããã fact2: ããæ¶æ£ããããšã¯çããªããšããããæšç®çŽ°ãããšããããšã¯çºçããªããŠçŸãããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã fact3: ãããæšç®çŽ°ãããšããããšãèµ·ãããæŽã«ã¿ãã¿ã®Lv.64äºä»¶ãèµ·ããããšããããšã¯åœã ãšãããšæšç®çŽ°ãããšããããšã¯èµ·ããªã fact4: æšç®çŽ°ãããšããããšã§ã¯ãªãçŸãããšããããšãçºçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããããLv.15äºä»¶ãèµ·ããªãããŸããŽã«ãŽãLv.5äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} -> ¬{AA} fact2: ¬{B} -> ¬(¬{A} & {C}) fact3: ¬({A} & {E}) -> ¬{A} fact4: (¬{A} & {C}) ; $hypothesis$ = (¬{AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã®ã·ãLv.37ã¯é«ããªã | ¬{D}{a} | fact1: ããããã®ã·ã«ãã·ã¡ã
Lv.25ã¯åºãæããããã䌞ã°ãæããªãããšããããšã¯åãªããã®ã·ã«ã·ãLv.45ã¯éžæãæã fact2: ä»®ã«ãã®ã·ã®ã·ãLv.37ã楜ããããŸãã«ãããã³ãŒãåãããšããããã®ã·ã®ã·ãLv.37ã¯é«ããªã fact3: ããã®ãŽã«ããŽãLv.71ã¯éè²ãæãããšããããšã¯æ£ãã fact4: ãã®ã·ã®ã·ãLv.37ã¯ã³ãŒãåãã fact5: ããããã®ã·ã«ã·ãLv.45ãéžæãæããªããã®ã·ã®ã·ãLv.37ã¯æ¥œããªããããã¯ã³ãŒãåããªã fact6: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éè²ãæããªããšãããšé«ã fact7: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯éè²ãæããšããã°ãããã¯æç«ãé£ããŠããã«ããã¯å¿çåŠåããªãããšããããšã¯äºå®ã§ãããšããããšã¯ãªã fact8: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã楜ããªããªãããã¯éè²ãæããªã fact9: ããã®ãŽã«ããŽãLv.71ã¯æç«ãé£ãããã©ããã¯å¿çåŠåããªãããšããããšã¯èª€ã£ãŠãããªããã®ã·ã®ã·ãLv.37ã¯æ¥œã | fact1: ¬({F}{c} & ¬{G}{c}) -> {E}{b} fact2: ({B}{a} & {C}{a}) -> ¬{D}{a} fact3: {A}{aa} fact4: {C}{a} fact5: {E}{b} -> (¬{B}{a} & ¬{C}{a}) fact6: (x): ¬{A}x -> {D}x fact7: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact8: (x): ¬{B}x -> ¬{A}x fact9: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{a} | [
"fact7 -> int1: ããããã®ãŽã«ããŽãLv.71ã¯éè²ãæããªãããã®ãŽã«ããŽãLv.71ã¯æç«ãé£ããå¿çåŠåãããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã; int1 & fact3 -> int2: ããã®ãŽã«ããŽãLv.71ã¯æç«ãé£ãããããå¿çåŠåããªãããšããããšã¯ééãã§ãã; int2 & fact9 -> int3: ãã®ã·ã®ã·ãLv.37ã¯æ¥œã; int3 & fact4 -> int4: ãã®ã·ã®ã·ãLv.37ã¯æ¥œããããŸãã«ã³ãŒãåãã; int4 & fact2 -> hypothesis;"
] | [
"fact7 -> int1: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> int2: ¬({AA}{aa} & ¬{AB}{aa}); int2 & fact9 -> int3: {B}{a}; int3 & fact4 -> int4: ({B}{a} & {C}{a}); int4 & fact2 -> hypothesis;"
] | ãã®ã·ã®ã·ãLv.37ã¯é«ã | {D}{a} | [
"fact12 -> int5: ããä»®ã«ãã®ã·ã®ã·ãLv.37ã¯éè²ãæããšããããšã¯ãªããšããã°ãããã¯é«ãããšããããšã¯æ¬åœã ; fact11 -> int6: ããä»®ã«ãã®ã·ã®ã·ãLv.37ã楜ããªããšããã°ããã¯éè²ãæããšããããšã¯ãªã;"
] | 7 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ã«ãã·ã¡ã
Lv.25ã¯åºãæããããã䌞ã°ãæããªãããšããããšã¯åãªããã®ã·ã«ã·ãLv.45ã¯éžæãæã fact2: ä»®ã«ãã®ã·ã®ã·ãLv.37ã楜ããããŸãã«ãããã³ãŒãåãããšããããã®ã·ã®ã·ãLv.37ã¯é«ããªã fact3: ããã®ãŽã«ããŽãLv.71ã¯éè²ãæãããšããããšã¯æ£ãã fact4: ãã®ã·ã®ã·ãLv.37ã¯ã³ãŒãåãã fact5: ããããã®ã·ã«ã·ãLv.45ãéžæãæããªããã®ã·ã®ã·ãLv.37ã¯æ¥œããªããããã¯ã³ãŒãåããªã fact6: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éè²ãæããªããšãããšé«ã fact7: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯éè²ãæããšããã°ãããã¯æç«ãé£ããŠããã«ããã¯å¿çåŠåããªãããšããããšã¯äºå®ã§ãããšããããšã¯ãªã fact8: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã楜ããªããªãããã¯éè²ãæããªã fact9: ããã®ãŽã«ããŽãLv.71ã¯æç«ãé£ãããã©ããã¯å¿çåŠåããªãããšããããšã¯èª€ã£ãŠãããªããã®ã·ã®ã·ãLv.37ã¯æ¥œã ; $hypothesis$ = ãã®ã·ã®ã·ãLv.37ã¯é«ããªã ; $proof$ = | fact7 -> int1: ããããã®ãŽã«ããŽãLv.71ã¯éè²ãæããªãããã®ãŽã«ããŽãLv.71ã¯æç«ãé£ããå¿çåŠåãããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã; int1 & fact3 -> int2: ããã®ãŽã«ããŽãLv.71ã¯æç«ãé£ãããããå¿çåŠåããªãããšããããšã¯ééãã§ãã; int2 & fact9 -> int3: ãã®ã·ã®ã·ãLv.37ã¯æ¥œã; int3 & fact4 -> int4: ãã®ã·ã®ã·ãLv.37ã¯æ¥œããããŸãã«ã³ãŒãåãã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({F}{c} & ¬{G}{c}) -> {E}{b} fact2: ({B}{a} & {C}{a}) -> ¬{D}{a} fact3: {A}{aa} fact4: {C}{a} fact5: {E}{b} -> (¬{B}{a} & ¬{C}{a}) fact6: (x): ¬{A}x -> {D}x fact7: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact8: (x): ¬{B}x -> ¬{A}x fact9: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact7 -> int1: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}); int1 & fact3 -> int2: ¬({AA}{aa} & ¬{AB}{aa}); int2 & fact9 -> int3: {B}{a}; int3 & fact4 -> int4: ({B}{a} & {C}{a}); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸã¡ãLv.81ã¯äœæ°ç¡ããªããŠãããã³ã³ãããŒã«ãæããªã | (¬{G}{d} & ¬{D}{d}) | fact1: ããããã®ãŽããŽã«ã
Lv.63ã¯ä»£çããªããšãããããã®ã¿ãã¿ã¡ãLv.90ã¯ä»£çãããæ¥ãããããªãããšããããšã¯åã§ãã fact2: ãã®ãŸããŸã¡ãLv.81ã¯é¢æ ãããªãã°ãããã¯äœæ°ç¡ããªãããããã³ã³ãããŒã«ãæããšããããšã¯ãªãããšããããšã¯åœã§ãã fact3: ããã®ãŽããŽã®Lv.59ã¯å
¥ãé£ãããšããããšã¯ç¢ºãã§ãã fact4: ããããã®ãŽããŽã®Lv.59ãé¢æ ãããŠå
¥ãé£ããªãã°ãã®ãŽããŽã«ã
Lv.63ã¯ä»£çãããšããããšã¯ãªã fact5: ãããããã®ã¿ãã¿ã¡ãLv.90ã¯ä»£çããããããããã¯æ¥ãããããªãããšããããšã¯èª€ã£ãŠãããªããã®ãŸããŸã¡ãLv.81ã¯ã³ã³ãããŒã«ãæããªã fact6: ãããã®ãŸããŸã¡ãLv.81ã¯ã³ã³ãããŒã«ãæããªããšãããäœæ°ç¡ããšããããšã¯ãªããããŸãã«ã³ã³ãããŒã«ãæããšããããšã¯ãªã fact7: ãã®ãŽããŽã®Lv.59ã¯é¢æ ãã | fact1: ¬{C}{b} -> ¬({C}{c} & ¬{E}{c}) fact2: {A}{d} -> ¬(¬{G}{d} & ¬{D}{d}) fact3: {B}{a} fact4: ({A}{a} & {B}{a}) -> ¬{C}{b} fact5: ¬({C}{c} & ¬{E}{c}) -> ¬{D}{d} fact6: ¬{D}{d} -> (¬{G}{d} & ¬{D}{d}) fact7: {A}{a} | [
"fact7 & fact3 -> int1: ãã®ãŽããŽã®Lv.59ã¯é¢æ ãããŠå
¥ãé£ã; int1 & fact4 -> int2: ããã®ãŽããŽã«ã
Lv.63ã¯ä»£çããªãããšããããšã¯åã§ãªã; int2 & fact1 -> int3: ããã®ã¿ãã¿ã¡ãLv.90ã¯ä»£çããããã©ããã¯æ¥ãããããªãããšããããšã¯æ¬åœã§ãªã; int3 & fact5 -> int4: ããã®ãŸããŸã¡ãLv.81ã¯ã³ã³ãããŒã«ãæããªãããšããããšã¯æãç«ã€; int4 & fact6 -> hypothesis;"
] | [
"fact7 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact1 -> int3: ¬({C}{c} & ¬{E}{c}); int3 & fact5 -> int4: ¬{D}{d}; int4 & fact6 -> hypothesis;"
] | ããã®ãŸããŸã¡ãLv.81ã¯äœæ°ç¡ããªããã³ã³ãããŒã«ãæããªãããšããããšã¯äºå®ãšç°ãªã | ¬(¬{G}{d} & ¬{D}{d}) | [] | 6 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŽããŽã«ã
Lv.63ã¯ä»£çããªããšãããããã®ã¿ãã¿ã¡ãLv.90ã¯ä»£çãããæ¥ãããããªãããšããããšã¯åã§ãã fact2: ãã®ãŸããŸã¡ãLv.81ã¯é¢æ ãããªãã°ãããã¯äœæ°ç¡ããªãããããã³ã³ãããŒã«ãæããšããããšã¯ãªãããšããããšã¯åœã§ãã fact3: ããã®ãŽããŽã®Lv.59ã¯å
¥ãé£ãããšããããšã¯ç¢ºãã§ãã fact4: ããããã®ãŽããŽã®Lv.59ãé¢æ ãããŠå
¥ãé£ããªãã°ãã®ãŽããŽã«ã
Lv.63ã¯ä»£çãããšããããšã¯ãªã fact5: ãããããã®ã¿ãã¿ã¡ãLv.90ã¯ä»£çããããããããã¯æ¥ãããããªãããšããããšã¯èª€ã£ãŠãããªããã®ãŸããŸã¡ãLv.81ã¯ã³ã³ãããŒã«ãæããªã fact6: ãããã®ãŸããŸã¡ãLv.81ã¯ã³ã³ãããŒã«ãæããªããšãããäœæ°ç¡ããšããããšã¯ãªããããŸãã«ã³ã³ãããŒã«ãæããšããããšã¯ãªã fact7: ãã®ãŽããŽã®Lv.59ã¯é¢æ ãã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.81ã¯äœæ°ç¡ããªããŠãããã³ã³ãããŒã«ãæããªã ; $proof$ = | fact7 & fact3 -> int1: ãã®ãŽããŽã®Lv.59ã¯é¢æ ãããŠå
¥ãé£ã; int1 & fact4 -> int2: ããã®ãŽããŽã«ã
Lv.63ã¯ä»£çããªãããšããããšã¯åã§ãªã; int2 & fact1 -> int3: ããã®ã¿ãã¿ã¡ãLv.90ã¯ä»£çããããã©ããã¯æ¥ãããããªãããšããããšã¯æ¬åœã§ãªã; int3 & fact5 -> int4: ããã®ãŸããŸã¡ãLv.81ã¯ã³ã³ãããŒã«ãæããªãããšããããšã¯æãç«ã€; int4 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{b} -> ¬({C}{c} & ¬{E}{c}) fact2: {A}{d} -> ¬(¬{G}{d} & ¬{D}{d}) fact3: {B}{a} fact4: ({A}{a} & {B}{a}) -> ¬{C}{b} fact5: ¬({C}{c} & ¬{E}{c}) -> ¬{D}{d} fact6: ¬{D}{d} -> (¬{G}{d} & ¬{D}{d}) fact7: {A}{a} ; $hypothesis$ = (¬{G}{d} & ¬{D}{d}) ; $proof$ = | fact7 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact1 -> int3: ¬({C}{c} & ¬{E}{c}); int3 & fact5 -> int4: ¬{D}{d}; int4 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ãLv.17ã¯èœæãããšããããšã¯ãªãããã©å€ã | (¬{E}{d} & {C}{d}) | fact1: ä»®ã«ãã®ã·ãã·ãLv.73ãå³ããããªããšããã°ãã®ã¿ãã¿ãLv.39ã¯çºçãæããªã fact2: ãããã®ãœããœã¡ã
Lv.50ãå€ããšãããšãã®ã·ãã·ãLv.17ã¯èœæããªã fact3: ããä»®ã«ãã®ãœããœã¡ã
Lv.50ãå€ããšããã°ãã®ã·ãã·ãLv.17ã¯èœæãããšããããšã¯ãªããã©å€ã fact4: ãã®ã·ãã·ãLv.73ã¯æå°æªããšããããšã¯ãªããŠæŽã«å³ããããªã fact5: ããããã®ã¿ãã¿ãLv.39ãçºçãæããªããªããã®ãœããœã¡ã
Lv.50ã¯å€ã | fact1: ¬{A}{a} -> ¬{B}{b} fact2: {C}{c} -> ¬{E}{d} fact3: {C}{c} -> (¬{E}{d} & {C}{d}) fact4: (¬{D}{a} & ¬{A}{a}) fact5: ¬{B}{b} -> {C}{c} | [
"fact4 -> int1: ãã®ã·ãã·ãLv.73ã¯å³ããããªã; fact1 & int1 -> int2: ãã®ã¿ãã¿ãLv.39ã¯çºçãæããªã; int2 & fact5 -> int3: ãã®ãœããœã¡ã
Lv.50ã¯å€ã; int3 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: ¬{A}{a}; fact1 & int1 -> int2: ¬{B}{b}; int2 & fact5 -> int3: {C}{c}; int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ãLv.73ãå³ããããªããšããã°ãã®ã¿ãã¿ãLv.39ã¯çºçãæããªã fact2: ãããã®ãœããœã¡ã
Lv.50ãå€ããšãããšãã®ã·ãã·ãLv.17ã¯èœæããªã fact3: ããä»®ã«ãã®ãœããœã¡ã
Lv.50ãå€ããšããã°ãã®ã·ãã·ãLv.17ã¯èœæãããšããããšã¯ãªããã©å€ã fact4: ãã®ã·ãã·ãLv.73ã¯æå°æªããšããããšã¯ãªããŠæŽã«å³ããããªã fact5: ããããã®ã¿ãã¿ãLv.39ãçºçãæããªããªããã®ãœããœã¡ã
Lv.50ã¯å€ã ; $hypothesis$ = ãã®ã·ãã·ãLv.17ã¯èœæãããšããããšã¯ãªãããã©å€ã ; $proof$ = | fact4 -> int1: ãã®ã·ãã·ãLv.73ã¯å³ããããªã; fact1 & int1 -> int2: ãã®ã¿ãã¿ãLv.39ã¯çºçãæããªã; int2 & fact5 -> int3: ãã®ãœããœã¡ã
Lv.50ã¯å€ã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬{B}{b} fact2: {C}{c} -> ¬{E}{d} fact3: {C}{c} -> (¬{E}{d} & {C}{d}) fact4: (¬{D}{a} & ¬{A}{a}) fact5: ¬{B}{b} -> {C}{c} ; $hypothesis$ = (¬{E}{d} & {C}{d}) ; $proof$ = | fact4 -> int1: ¬{A}{a}; fact1 & int1 -> int2: ¬{B}{b}; int2 & fact5 -> int3: {C}{c}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãããããã®ã·ã«ãã·ãLv.72ãè³ãããšãããšãã®ãŸã¡ããŸãLv.60ã¯éŠå°Ÿè¯ãããšããããšã¯ééã£ãŠãã | ¬({A}{a} -> {B}{b}) | fact1: ãã®ãŸã¡ããŸãLv.60ã¯çšãæã fact2: ä»®ã«ãã®ã·ã«ãã·ãLv.72ã¯è³ãããªããããã®ã·ã«ãã·ãLv.72ã¯çšãæããªããŠæŽã«ããã¯èŠªãããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact3: ããã®ãŸã¡ããŸãLv.60ã¯èŠªããããšããããšã¯æãç«ã€ fact4: ãããã®ãŸã¡ããŸãLv.60ã¯çšãæããšãããšããã®ãŸã¡ããŸãLv.60ã¯éŠå°Ÿè¯ããšããããšã¯ãªãäžæ¹ã§ããã¯è³ããããšããããšã¯æãç«ããªã fact5: ãããã®ã·ã«ãã·ãLv.72ã¯è³ãããšãããšããã®ã·ã«ãã·ãLv.72ã¯çšãæããããã¯èŠªãããªãããšããããšã¯ééãã§ãã | fact1: {AA}{b} fact2: {A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact3: {AB}{b} fact4: {AA}{b} -> ¬(¬{B}{b} & {A}{b}) fact5: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã«ãã·ãLv.72ã¯è³ãã; fact2 & assump1 -> int1: ããã®ã·ã«ãã·ãLv.72ã¯çšãæããªãããŸã芪ãããšããããšã¯ãªãããšããããšã¯åœã§ãã;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: ¬(¬{AA}{a} & ¬{AB}{a});"
] | null | null | [] | null | 4 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŸã¡ããŸãLv.60ã¯çšãæã fact2: ä»®ã«ãã®ã·ã«ãã·ãLv.72ã¯è³ãããªããããã®ã·ã«ãã·ãLv.72ã¯çšãæããªããŠæŽã«ããã¯èŠªãããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact3: ããã®ãŸã¡ããŸãLv.60ã¯èŠªããããšããããšã¯æãç«ã€ fact4: ãããã®ãŸã¡ããŸãLv.60ã¯çšãæããšãããšããã®ãŸã¡ããŸãLv.60ã¯éŠå°Ÿè¯ããšããããšã¯ãªãäžæ¹ã§ããã¯è³ããããšããããšã¯æãç«ããªã fact5: ãããã®ã·ã«ãã·ãLv.72ã¯è³ãããšãããšããã®ã·ã«ãã·ãLv.72ã¯çšãæããããã¯èŠªãããªãããšããããšã¯ééãã§ãã ; $hypothesis$ = ãããããã®ã·ã«ãã·ãLv.72ãè³ãããšãããšãã®ãŸã¡ããŸãLv.60ã¯éŠå°Ÿè¯ãããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AA}{b} fact2: {A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact3: {AB}{b} fact4: {AA}{b} -> ¬(¬{B}{b} & {A}{b}) fact5: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬({A}{a} -> {B}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸã®Lv.85ã¯ããã©ããŠããã«æ¹åã»æ¹é©ãã | ({E}{c} & {D}{c}) | fact1: ãã®ã¿ã«ã¿ãªLv.25ãéç¡ããç£å±ãããšããããšã¯ãªããšããããã®ãŸããŸã®Lv.85ã¯æ¹åã»æ¹é©ãã fact2: ä»®ã«ãã®ãŸã«ããŸãLv.32ãæãããããªããšããã°ãã®ã¿ã«ã¿ãªLv.25ã¯éç¡ã fact3: ãã®ã¿ã«ã¿ãªLv.25ã¯ç£å±ããªã fact4: ãã®ãŸã«ããŸãLv.32ã¯æãããããªã fact5: ãã®ãŸããŸã®Lv.85ã¯ããã©ã | fact1: ({B}{b} & ¬{C}{b}) -> {D}{c} fact2: ¬{A}{a} -> {B}{b} fact3: ¬{C}{b} fact4: ¬{A}{a} fact5: {E}{c} | [
"fact2 & fact4 -> int1: ãã®ã¿ã«ã¿ãªLv.25ã¯éç¡ã; int1 & fact3 -> int2: ãã®ã¿ã«ã¿ãªLv.25ã¯éç¡ãããããããã¯ç£å±ããªã; int2 & fact1 -> int3: ãã®ãŸããŸã®Lv.85ã¯æ¹åã»æ¹é©ãã; int3 & fact5 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}{b}; int1 & fact3 -> int2: ({B}{b} & ¬{C}{b}); int2 & fact1 -> int3: {D}{c}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ã«ã¿ãªLv.25ãéç¡ããç£å±ãããšããããšã¯ãªããšããããã®ãŸããŸã®Lv.85ã¯æ¹åã»æ¹é©ãã fact2: ä»®ã«ãã®ãŸã«ããŸãLv.32ãæãããããªããšããã°ãã®ã¿ã«ã¿ãªLv.25ã¯éç¡ã fact3: ãã®ã¿ã«ã¿ãªLv.25ã¯ç£å±ããªã fact4: ãã®ãŸã«ããŸãLv.32ã¯æãããããªã fact5: ãã®ãŸããŸã®Lv.85ã¯ããã©ã ; $hypothesis$ = ãã®ãŸããŸã®Lv.85ã¯ããã©ããŠããã«æ¹åã»æ¹é©ãã ; $proof$ = | fact2 & fact4 -> int1: ãã®ã¿ã«ã¿ãªLv.25ã¯éç¡ã; int1 & fact3 -> int2: ãã®ã¿ã«ã¿ãªLv.25ã¯éç¡ãããããããã¯ç£å±ããªã; int2 & fact1 -> int3: ãã®ãŸããŸã®Lv.85ã¯æ¹åã»æ¹é©ãã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({B}{b} & ¬{C}{b}) -> {D}{c} fact2: ¬{A}{a} -> {B}{b} fact3: ¬{C}{b} fact4: ¬{A}{a} fact5: {E}{c} ; $hypothesis$ = ({E}{c} & {D}{c}) ; $proof$ = | fact2 & fact4 -> int1: {B}{b}; int1 & fact3 -> int2: ({B}{b} & ¬{C}{b}); int2 & fact1 -> int3: {D}{c}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãããã¡ã
Lv.39ã¯èãã | {A}{a} | fact1: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èªå·±éœåéè·ããªãããšããããšã¯çå®ã§ãããšããããããã¯èãããªããŠæ°æã¡è¯ããªãããšããããšã¯æãç«ããªã fact2: ããã®ãŸããŸãLv.66ã¯èšé²åºæ¥ãããã©èªå·±éœåéè·ããªãããšããããšã¯æãç«ããªããšãããšãã®ãããã¡ã
Lv.39ã¯èªå·±éœåéè·ããªã fact3: ãã®ãããã¡ã
Lv.39ã¯æ°æã¡è¯ããªã fact4: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯èãããªããæ°æã¡è¯ããªãããšããããšã¯åœã ãšãããšèãã fact5: ãã®ãããã¡ã
Lv.39ãèãããªãæ°æã¡è¯ã | fact1: (x): ¬{C}x -> ¬(¬{A}x & ¬{B}x) fact2: ¬({D}{b} & ¬{C}{b}) -> ¬{C}{a} fact3: ¬{B}{a} fact4: (x): ¬(¬{A}x & ¬{B}x) -> {A}x fact5: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãããã¡ã
Lv.39ã¯èãã; fact5 & assump1 -> int1: ãã®ãããã¡ã
Lv.39ã¯æ°æã¡è¯ã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{a}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ãããã¡ã
Lv.39ã¯èãã | {A}{a} | [
"fact7 -> int3: ããä»®ã«ããã®ãããã¡ã
Lv.39ã¯èãããªããŠæŽã«æ°æã¡è¯ããªãããšããããšã¯èª€ã£ãŠãããšããããã®ãããã¡ã
Lv.39ã¯èãã; fact6 -> int4: ãããã®ãããã¡ã
Lv.39ã¯èªå·±éœåéè·ããªããšãããšãããã¯èãããªããŠå ããŠæ°æã¡è¯ããªãããšããããšã¯èª€ã£ãŠãã;"
] | 5 | 4 | 3 | 4 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èªå·±éœåéè·ããªãããšããããšã¯çå®ã§ãããšããããããã¯èãããªããŠæ°æã¡è¯ããªãããšããããšã¯æãç«ããªã fact2: ããã®ãŸããŸãLv.66ã¯èšé²åºæ¥ãããã©èªå·±éœåéè·ããªãããšããããšã¯æãç«ããªããšãããšãã®ãããã¡ã
Lv.39ã¯èªå·±éœåéè·ããªã fact3: ãã®ãããã¡ã
Lv.39ã¯æ°æã¡è¯ããªã fact4: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯èãããªããæ°æã¡è¯ããªãããšããããšã¯åœã ãšãããšèãã fact5: ãã®ãããã¡ã
Lv.39ãèãããªãæ°æã¡è¯ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãããã¡ã
Lv.39ã¯èãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãããã¡ã
Lv.39ã¯èãã; fact5 & assump1 -> int1: ãã®ãããã¡ã
Lv.39ã¯æ°æã¡è¯ã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> ¬(¬{A}x & ¬{B}x) fact2: ¬({D}{b} & ¬{C}{b}) -> ¬{C}{a} fact3: ¬{B}{a} fact4: (x): ¬(¬{A}x & ¬{B}x) -> {A}x fact5: {A}{a} -> {B}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{a}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã«ãLv.12ã¯æ±ããããªã | ¬{D}{d} | fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãéè¿ããªããšãããšæ±ããããããã¯é²ãæã fact2: ãã®ããããLv.57ãèŠéããé£ããšããã°ãã®ããããLv.57ã¯é²ãæã fact3: ããã®ã¿ã«ã¿ãLv.27ã¯å
ãããªããã©ããã¯ä»®å®åºæ¥ãããšããããšã¯èª€ãã§ãããªãããã®ããããLv.57ã¯èŠéããé£ãããšããããšã¯æãç«ã€ fact4: ããããã®ããããLv.57ãé²ãæããšããã°ãã®ãŸããŸãLv.49ã¯éè¿ã fact5: ããä»®ã«ãã®ã¿ã«ã¿ãLv.27ãæ±ããããæŽã«èŠéããé£ããšããããã®ãŽããŽã«ãLv.12ã¯æ±ããããšããããšã¯ãªã fact6: ãããã®ã¿ã«ã¿ãLv.27ã¯å
ãããªãäžæ¹ã§ä»®å®åºæ¥ãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact7: ä»®ã«ãã®ãŸããŸãLv.49ãéè¿ããšããããã®ãŽããŽã«ãLv.12ã¯æ±ããã fact8: ããã®ã¿ã«ã¿ãLv.27ã¯æ°é«ãäžæ¹ã§ããã¯çºçŸãæããªãããšããããšã¯åãªãã°éè¿ããªã | fact1: (x): ¬{C}x -> ({D}x & {A}x) fact2: {B}{b} -> {A}{b} fact3: ¬(¬{AA}{a} & {AB}{a}) -> {B}{b} fact4: {A}{b} -> {C}{c} fact5: ({D}{a} & {B}{a}) -> ¬{D}{d} fact6: ¬(¬{AA}{a} & {AB}{a}) fact7: {C}{c} -> {D}{d} fact8: ¬({F}{a} & ¬{G}{a}) -> ¬{C}{a} | [
"fact3 & fact6 -> int1: ãã®ããããLv.57ã¯èŠéããé£ã; int1 & fact2 -> int2: ãã®ããããLv.57ã¯é²ãæã; int2 & fact4 -> int3: ãã®ãŸããŸãLv.49ã¯éè¿ã; int3 & fact7 -> hypothesis;"
] | [
"fact3 & fact6 -> int1: {B}{b}; int1 & fact2 -> int2: {A}{b}; int2 & fact4 -> int3: {C}{c}; int3 & fact7 -> hypothesis;"
] | ãã®ãŽããŽã«ãLv.12ã¯æ±ããããªã | ¬{D}{d} | [
"fact11 -> int4: ããä»®ã«ãã®ã¿ã«ã¿ãLv.27ãéè¿ããªããšãããæ±ããããæŽã«é²ãæã;"
] | 6 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãéè¿ããªããšãããšæ±ããããããã¯é²ãæã fact2: ãã®ããããLv.57ãèŠéããé£ããšããã°ãã®ããããLv.57ã¯é²ãæã fact3: ããã®ã¿ã«ã¿ãLv.27ã¯å
ãããªããã©ããã¯ä»®å®åºæ¥ãããšããããšã¯èª€ãã§ãããªãããã®ããããLv.57ã¯èŠéããé£ãããšããããšã¯æãç«ã€ fact4: ããããã®ããããLv.57ãé²ãæããšããã°ãã®ãŸããŸãLv.49ã¯éè¿ã fact5: ããä»®ã«ãã®ã¿ã«ã¿ãLv.27ãæ±ããããæŽã«èŠéããé£ããšããããã®ãŽããŽã«ãLv.12ã¯æ±ããããšããããšã¯ãªã fact6: ãããã®ã¿ã«ã¿ãLv.27ã¯å
ãããªãäžæ¹ã§ä»®å®åºæ¥ãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact7: ä»®ã«ãã®ãŸããŸãLv.49ãéè¿ããšããããã®ãŽããŽã«ãLv.12ã¯æ±ããã fact8: ããã®ã¿ã«ã¿ãLv.27ã¯æ°é«ãäžæ¹ã§ããã¯çºçŸãæããªãããšããããšã¯åãªãã°éè¿ããªã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.12ã¯æ±ããããªã ; $proof$ = | fact3 & fact6 -> int1: ãã®ããããLv.57ã¯èŠéããé£ã; int1 & fact2 -> int2: ãã®ããããLv.57ã¯é²ãæã; int2 & fact4 -> int3: ãã®ãŸããŸãLv.49ã¯éè¿ã; int3 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> ({D}x & {A}x) fact2: {B}{b} -> {A}{b} fact3: ¬(¬{AA}{a} & {AB}{a}) -> {B}{b} fact4: {A}{b} -> {C}{c} fact5: ({D}{a} & {B}{a}) -> ¬{D}{d} fact6: ¬(¬{AA}{a} & {AB}{a}) fact7: {C}{c} -> {D}{d} fact8: ¬({F}{a} & ¬{G}{a}) -> ¬{C}{a} ; $hypothesis$ = ¬{D}{d} ; $proof$ = | fact3 & fact6 -> int1: {B}{b}; int1 & fact2 -> int2: {A}{b}; int2 & fact4 -> int3: {C}{c}; int3 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | 埡èŸããšããããšã¯çããªã | ¬{D} | fact1: æ
ææ·±ããšããããšãçãã fact2: ãåãæããšããããšãçºçããããšããããšã¯ç¢ºãã fact3: 埡èŸããšããããšã¯çããªããšããããšã¯ããªãããšããããšãšå
¥ãæããšããããšã©ã¡ãããçããããšããããšãå¥æ©ã fact4: å
¥ãæããšããããšãçºçãã fact5: ãœããœãLv.11äºä»¶ãšãªãããšããããšãèµ·ããã¯ãèŠæ¶ããããšã¯èµ·ãããªãããšããããšã«åŒãèµ·ãããã | fact1: {CO} fact2: {IN} fact3: ({B} & {C}) -> ¬{D} fact4: {C} fact5: ¬{E} -> ({A} & {B}) | [] | [] | null | null | [] | null | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: æ
ææ·±ããšããããšãçãã fact2: ãåãæããšããããšãçºçããããšããããšã¯ç¢ºãã fact3: 埡èŸããšããããšã¯çããªããšããããšã¯ããªãããšããããšãšå
¥ãæããšããããšã©ã¡ãããçããããšããããšãå¥æ©ã fact4: å
¥ãæããšããããšãçºçãã fact5: ãœããœãLv.11äºä»¶ãšãªãããšããããšãèµ·ããã¯ãèŠæ¶ããããšã¯èµ·ãããªãããšããããšã«åŒãèµ·ãããã ; $hypothesis$ = 埡èŸããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {CO} fact2: {IN} fact3: ({B} & {C}) -> ¬{D} fact4: {C} fact5: ¬{E} -> ({A} & {B}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ããä»®ã«ãåºãŒãããšããããšã¯äºå®ãšç°ãªããªããšããããåããã©ååŸãæããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã | (Ex): {A}x -> ¬({AA}x & ¬{AB}x) | fact1: ããä»®ã«ãŽã«ãŽãLv.45äºä»¶ã¯èµ·ããªããšããããçã¿é£ããšããããšã¯èµ·ããªãããŽãªãŽãLv.43äºä»¶ã¯èµ·ããªããäž¡æ¹ã ããšããããšã¯åã§ãã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãŽã«ãŽãLv.45äºä»¶ã¯èµ·ããªããšããããçã¿é£ããšããããšã¯èµ·ããªãããŽãªãŽãLv.43äºä»¶ã¯èµ·ããªããäž¡æ¹ã ããšããããšã¯åã§ãã ; $hypothesis$ = ããä»®ã«ãåºãŒãããšããããšã¯äºå®ãšç°ãªããªããšããããåããã©ååŸãæããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯äºå®ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = (Ex): {A}x -> ¬({AA}x & ¬{AB}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã®ãœããœã®Lv.31ã¯æ鳎ãæ£ãããç·ã£ãœãããšããããšã¯æ£ããããšããããšã¯åã | ¬({G}{e} & {F}{e}) | fact1: ããã®ã·ã¡ã
ã·ã«ãLv.1ã¯éè·ããããšããããšã¯èª€ãã§ãªã fact2: ããããã®ãœã«ãœã®Lv.35ãç·ã£ãœããªããªããã®ãœããœã®Lv.31ã¯æ鳎ãæ£ããããŸãç·ã£ãœã fact3: ãããä»®ã«ãã®ãœããœãªLv.18ã¯èãæããªããããã®ãœããœãªLv.18ã¯å¹ãèããªããŠæŽã«ãã¡ã£ãããªãããšããããšã¯ç¢ºãã§ããããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯éè·ããªããšãããšãããã¯æ鳎ãæ£ãããç·ã£ãœãããšããããšã¯ééã£ãŠãã fact5: ä»®ã«ãã®ã·ãã·ã«ãLv.97ãã²ãã€ããªããã®ãœããœãªLv.18ã¯èãæã fact6: ä»®ã«ããã®ãœããœãªLv.18ã¯å¹ãèããªãããã¡ã£ãããªãããšããããšã¯èª€ãã§ãããªããã®ãœã«ãœã®Lv.35ã¯ç·ã£ãœããªã fact7: ããããã®ã·ã¡ã
ã·ã«ãLv.1ãéè·ãããšããããã®ã·ãã·ã«ãLv.97ã¯ã²ãã€ã | fact1: {A}{a} fact2: ¬{F}{d} -> ({G}{e} & {F}{e}) fact3: {C}{c} -> ¬(¬{E}{c} & ¬{D}{c}) fact4: (x): ¬{A}x -> ¬({G}x & {F}x) fact5: {B}{b} -> {C}{c} fact6: ¬(¬{E}{c} & ¬{D}{c}) -> ¬{F}{d} fact7: {A}{a} -> {B}{b} | [
"fact7 & fact1 -> int1: ãã®ã·ãã·ã«ãLv.97ã¯ã²ãã€ã; int1 & fact5 -> int2: ãã®ãœããœãªLv.18ã¯èãæã; int2 & fact3 -> int3: ããã®ãœããœãªLv.18ã¯å¹ãèããªããŠããã«ãã¡ã£ãããªãããšããããšã¯èª€ãã ; int3 & fact6 -> int4: ãã®ãœã«ãœã®Lv.35ã¯ç·ã£ãœããªã; int4 & fact2 -> hypothesis;"
] | [
"fact7 & fact1 -> int1: {B}{b}; int1 & fact5 -> int2: {C}{c}; int2 & fact3 -> int3: ¬(¬{E}{c} & ¬{D}{c}); int3 & fact6 -> int4: ¬{F}{d}; int4 & fact2 -> hypothesis;"
] | ãããã®ãœããœã®Lv.31ã¯æ鳎ãæ£ãããç·ã£ãœãããšããããšã¯æ£ããããšããããšã¯åã | ¬({G}{e} & {F}{e}) | [
"fact8 -> int5: ä»®ã«ãã®ãœããœã®Lv.31ã¯éè·ããªããšããã°ããã®ãœããœã®Lv.31ã¯æ鳎ãæ£ããããŸãããã¯ç·ã£ãœãããšããããšã¯åã ;"
] | 4 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ã·ã¡ã
ã·ã«ãLv.1ã¯éè·ããããšããããšã¯èª€ãã§ãªã fact2: ããããã®ãœã«ãœã®Lv.35ãç·ã£ãœããªããªããã®ãœããœã®Lv.31ã¯æ鳎ãæ£ããããŸãç·ã£ãœã fact3: ãããä»®ã«ãã®ãœããœãªLv.18ã¯èãæããªããããã®ãœããœãªLv.18ã¯å¹ãèããªããŠæŽã«ãã¡ã£ãããªãããšããããšã¯ç¢ºãã§ããããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã fact4: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯éè·ããªããšãããšãããã¯æ鳎ãæ£ãããç·ã£ãœãããšããããšã¯ééã£ãŠãã fact5: ä»®ã«ãã®ã·ãã·ã«ãLv.97ãã²ãã€ããªããã®ãœããœãªLv.18ã¯èãæã fact6: ä»®ã«ããã®ãœããœãªLv.18ã¯å¹ãèããªãããã¡ã£ãããªãããšããããšã¯èª€ãã§ãããªããã®ãœã«ãœã®Lv.35ã¯ç·ã£ãœããªã fact7: ããããã®ã·ã¡ã
ã·ã«ãLv.1ãéè·ãããšããããã®ã·ãã·ã«ãLv.97ã¯ã²ãã€ã ; $hypothesis$ = ãããã®ãœããœã®Lv.31ã¯æ鳎ãæ£ãããç·ã£ãœãããšããããšã¯æ£ããããšããããšã¯åã ; $proof$ = | fact7 & fact1 -> int1: ãã®ã·ãã·ã«ãLv.97ã¯ã²ãã€ã; int1 & fact5 -> int2: ãã®ãœããœãªLv.18ã¯èãæã; int2 & fact3 -> int3: ããã®ãœããœãªLv.18ã¯å¹ãèããªããŠããã«ãã¡ã£ãããªãããšããããšã¯èª€ãã ; int3 & fact6 -> int4: ãã®ãœã«ãœã®Lv.35ã¯ç·ã£ãœããªã; int4 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{F}{d} -> ({G}{e} & {F}{e}) fact3: {C}{c} -> ¬(¬{E}{c} & ¬{D}{c}) fact4: (x): ¬{A}x -> ¬({G}x & {F}x) fact5: {B}{b} -> {C}{c} fact6: ¬(¬{E}{c} & ¬{D}{c}) -> ¬{F}{d} fact7: {A}{a} -> {B}{b} ; $hypothesis$ = ¬({G}{e} & {F}{e}) ; $proof$ = | fact7 & fact1 -> int1: {B}{b}; int1 & fact5 -> int2: {C}{c}; int2 & fact3 -> int3: ¬(¬{E}{c} & ¬{D}{c}); int3 & fact6 -> int4: ¬{F}{d}; int4 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽã«ã
Lv.43ã¯èŠãæã | {A}{a} | fact1: ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæãããããäŒæ¯ããªãããšããããšã¯ééãã fact2: ä»®ã«ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæããã©äŒæ¯ããªãããšããããšã¯åœã§ãããšããã°ããã®ãŽã«ããŽã«ã
Lv.43ã¯èŠãæããªãããšããããšã¯æ¬åœã§ãã fact3: ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæãããããäŒæ¯ããããšããããšã¯äºå®ãšç°ãªã | fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: ¬({AA}{a} & ¬{AB}{a}) -> ¬{A}{a} fact3: ¬({AA}{a} & {AB}{a}) | [
"fact1 -> int1: ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæãããããäŒæ¯ããªãããšããããšã¯ééãã ; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæãããããäŒæ¯ããªãããšããããšã¯ééãã fact2: ä»®ã«ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæããã©äŒæ¯ããªãããšããããšã¯åœã§ãããšããã°ããã®ãŽã«ããŽã«ã
Lv.43ã¯èŠãæããªãããšããããšã¯æ¬åœã§ãã fact3: ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæãããããäŒæ¯ããããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ãã®ãŽã«ããŽã«ã
Lv.43ã¯èŠãæã ; $proof$ = | fact1 -> int1: ããã®ãŽã«ããŽã«ã
Lv.43ã¯åãå
¥ãæãããããäŒæ¯ããªãããšããããšã¯ééãã ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{a} & ¬{AB}{a}) fact2: ¬({AA}{a} & ¬{AB}{a}) -> ¬{A}{a} fact3: ¬({AA}{a} & {AB}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: ¬({AA}{a} & ¬{AB}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽã«ãLv.30ã¯å·®ãæ»ããªã | ¬{A}{a} | fact1: ãã®ãŽã«ããŽã«ãLv.30ãå·®ãæ»ãã°ãã®ãŽã¡ããŽã®Lv.66ã¯éæãæã fact2: ãã®ãŽã¡ããŽã®Lv.66ã¯éæãæããªã fact3: ãšããã¢ã³ã¹ã¿ãŒãèçž®ãããšããããšã¯ãªããªãå·®ãæ»ããããã«éæãæã | fact1: {A}{a} -> {B}{b} fact2: ¬{B}{b} fact3: (x): ¬{C}x -> ({A}x & {B}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽã«ãLv.30ã¯å·®ãæ»ã; fact1 & assump1 -> int1: ãã®ãŽã¡ããŽã®Lv.66ã¯éæãæã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽã«ãLv.30ã¯å·®ãæ»ã | {A}{a} | [
"fact4 -> int3: ä»®ã«ãã®ãŽã«ããŽã«ãLv.30ãèçž®ããªããšããã°ããã¯å·®ãæ»ããéæãæã;"
] | 4 | 4 | 3 | 4 | 3 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã«ããŽã«ãLv.30ãå·®ãæ»ãã°ãã®ãŽã¡ããŽã®Lv.66ã¯éæãæã fact2: ãã®ãŽã¡ããŽã®Lv.66ã¯éæãæããªã fact3: ãšããã¢ã³ã¹ã¿ãŒãèçž®ãããšããããšã¯ãªããªãå·®ãæ»ããããã«éæãæã ; $hypothesis$ = ãã®ãŽã«ããŽã«ãLv.30ã¯å·®ãæ»ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽã«ãLv.30ã¯å·®ãæ»ã; fact1 & assump1 -> int1: ãã®ãŽã¡ããŽã®Lv.66ã¯éæãæã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: ¬{B}{b} fact3: (x): ¬{C}x -> ({A}x & {B}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸã«ãLv.40ã¯æãã¿ç¡ã | {A}{a} | fact1: ãããããã¢ã³ã¹ã¿ãŒã¯å¬ãããªãããšããããšã¯æãç«ã€ fact2: ããããã¢ã³ã¹ã¿ãŒã¯æŠç¥ããªã fact3: ã倥ãããã¢ã³ã¹ã¿ãŒãããã°ãã®ãŸããŸã«ãLv.40ãæãã¿ç¡ãããã®äžããã¯èå¯ã fact4: ããä»®ã«ãã®ãŽããŽãLv.32ãç Žç¶»ãããªããã®ããããLv.3ã¯å€¥ãã | fact1: (x): ¬{P}x fact2: (x): ¬{EB}x fact3: (x): {C}x -> ({A}{a} & {B}{a}) fact4: {D}{c} -> {C}{b} | [] | [] | ãã®ãŸããŸã«ãLv.40ã¯æãã¿ç¡ã | {A}{a} | [] | 9 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒã¯å¬ãããªãããšããããšã¯æãç«ã€ fact2: ããããã¢ã³ã¹ã¿ãŒã¯æŠç¥ããªã fact3: ã倥ãããã¢ã³ã¹ã¿ãŒãããã°ãã®ãŸããŸã«ãLv.40ãæãã¿ç¡ãããã®äžããã¯èå¯ã fact4: ããä»®ã«ãã®ãŽããŽãLv.32ãç Žç¶»ãããªããã®ããããLv.3ã¯å€¥ãã ; $hypothesis$ = ãã®ãŸããŸã«ãLv.40ã¯æãã¿ç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{P}x fact2: (x): ¬{EB}x fact3: (x): {C}x -> ({A}{a} & {B}{a}) fact4: {D}{c} -> {C}{b} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã¡ãLv.1ã¯çãäžžã | {F}{c} | fact1: ãããã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªããšããã°ãããã¯ä»²çŠãŸãããŠãã€æåãæãããšããããšã¯æ£ãããªã fact2: ããã®ãŸããŸãLv.79ã¯å ªãæããŠããã«çãäžžãããšããããšã¯åã ãšããã°ãã®ã¿ãã¿ã¡ãLv.1ã¯çãäžžããªã fact3: ãã®ãŸããŸãLv.79ã¯äžãæã fact4: ãããã®ãŸããŸãLv.79ãäžãæãããããã¯ãããå ªãæããšãããšãã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯äžãæããªããªããããã¯å ªãæããŠããŸãã«ããã¯çãäžžãããšããããšã¯åœã§ãã fact6: ãããäœããã®ã¢ã³ã¹ã¿ãŒãå ªãæããªãã°ããã¯äžãæã fact7: ããããããã¢ã³ã¹ã¿ãŒã¯äžãæããšãããšãããã¯çãŒããããã¯ä»²çŠãŸãããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact8: ä»®ã«ããã®ã¿ã«ã
ã¿ãLv.56ã¯ä»²çŠãŸãããæåãæããªãããšããããšã¯æãç«ããªããªãã°ãã®ã¿ãã¿ã¡ãLv.1ã¯çãäžžã fact9: ä»®ã«ãã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªããªãã°ã仲çŠãŸãããæåãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã | fact1: ¬{C}{b} -> ¬({D}{b} & {E}{b}) fact2: ¬({B}{a} & {F}{a}) -> ¬{F}{c} fact3: {A}{a} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: (x): ¬{A}x -> ¬({B}x & {F}x) fact6: (x): {B}x -> {A}x fact7: (x): {A}x -> ¬({CL}x & ¬{D}x) fact8: ¬({D}{b} & ¬{E}{b}) -> {F}{c} fact9: ¬{C}{b} -> ¬({D}{b} & ¬{E}{b}) | [
"fact3 -> int1: ãã®ãŸããŸãLv.79ã¯äžãæãããŸãã¯ããã¯å ªãæããäž¡æ¹ãšãã§ãã; int1 & fact4 -> int2: ãã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªã; int2 & fact9 -> int3: ããã®ã¿ã«ã
ã¿ãLv.56ã¯ä»²çŠãŸããããããæåãæããªãããšããããšã¯èª€ãã ; int3 & fact8 -> hypothesis;"
] | [
"fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact9 -> int3: ¬({D}{b} & ¬{E}{b}); int3 & fact8 -> hypothesis;"
] | ããã®ã¿ã«ã
ã¿ãLv.56ã¯çãŒãããã©ä»²çŠãŸãããªãããšããããšã¯æãç«ããªã | ¬({CL}{b} & ¬{D}{b}) | [
"fact10 -> int4: ãããã®ã¿ã«ã
ã¿ãLv.56ã¯äžãæããªãã°ãããã¯çãŒãäžæ¹ã§ä»²çŠãŸãããªãããšããããšã¯ééãã§ãã; fact11 -> int5: ãã®ã¿ã«ã
ã¿ãLv.56ãå ªãæããšãããšããã¯äžãæã;"
] | 5 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªããšããã°ãããã¯ä»²çŠãŸãããŠãã€æåãæãããšããããšã¯æ£ãããªã fact2: ããã®ãŸããŸãLv.79ã¯å ªãæããŠããã«çãäžžãããšããããšã¯åã ãšããã°ãã®ã¿ãã¿ã¡ãLv.1ã¯çãäžžããªã fact3: ãã®ãŸããŸãLv.79ã¯äžãæã fact4: ãããã®ãŸããŸãLv.79ãäžãæãããããã¯ãããå ªãæããšãããšãã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯äžãæããªããªããããã¯å ªãæããŠããŸãã«ããã¯çãäžžãããšããããšã¯åœã§ãã fact6: ãããäœããã®ã¢ã³ã¹ã¿ãŒãå ªãæããªãã°ããã¯äžãæã fact7: ããããããã¢ã³ã¹ã¿ãŒã¯äžãæããšãããšãããã¯çãŒããããã¯ä»²çŠãŸãããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact8: ä»®ã«ããã®ã¿ã«ã
ã¿ãLv.56ã¯ä»²çŠãŸãããæåãæããªãããšããããšã¯æãç«ããªããªãã°ãã®ã¿ãã¿ã¡ãLv.1ã¯çãäžžã fact9: ä»®ã«ãã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªããªãã°ã仲çŠãŸãããæåãæããšããããšã¯ãªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ã¿ãã¿ã¡ãLv.1ã¯çãäžžã ; $proof$ = | fact3 -> int1: ãã®ãŸããŸãLv.79ã¯äžãæãããŸãã¯ããã¯å ªãæããäž¡æ¹ãšãã§ãã; int1 & fact4 -> int2: ãã®ã¿ã«ã
ã¿ãLv.56ã¯èŠªããªã; int2 & fact9 -> int3: ããã®ã¿ã«ã
ã¿ãLv.56ã¯ä»²çŠãŸããããããæåãæããªãããšããããšã¯èª€ãã ; int3 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{b} -> ¬({D}{b} & {E}{b}) fact2: ¬({B}{a} & {F}{a}) -> ¬{F}{c} fact3: {A}{a} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: (x): ¬{A}x -> ¬({B}x & {F}x) fact6: (x): {B}x -> {A}x fact7: (x): {A}x -> ¬({CL}x & ¬{D}x) fact8: ¬({D}{b} & ¬{E}{b}) -> {F}{c} fact9: ¬{C}{b} -> ¬({D}{b} & ¬{E}{b}) ; $hypothesis$ = {F}{c} ; $proof$ = | fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact9 -> int3: ¬({D}{b} & ¬{E}{b}); int3 & fact8 -> hypothesis; __PROVED__ |
0.3 | ã¿ã«ã
ã¿ãLv.86äºä»¶ã¯èµ·ããªã | ¬{A} | fact1: ãã«ãããªLv.63äºä»¶ããŸãã¯ãŸã®ãŸãLv.86äºä»¶ãäž¡æ¹ãšããçãã fact2: ã¿ã«ã
ã¿ãLv.86äºä»¶ããŸãã¯ç®ãŸãããããšããããšããããã¯äž¡æ¹ã¯ãœããœã«Lv.80äºä»¶ãé»æ¢ãã fact3: ãœããœã«Lv.80äºä»¶ãçãã | fact1: ({JD} v {DB}) fact2: ({A} v {B}) -> ¬{C} fact3: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.86äºä»¶ãèµ·ãã; assump1 -> int1: ã¿ã«ã
ã¿ãLv.86äºä»¶ãçããããŸãã¯ç®ãŸãããããšããããšãçºçãã; int1 & fact2 -> int2: ãœããœã«Lv.80äºä»¶ã¯çºçããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã«ãããªLv.63äºä»¶ããŸãã¯ãŸã®ãŸãLv.86äºä»¶ãäž¡æ¹ãšããçãã fact2: ã¿ã«ã
ã¿ãLv.86äºä»¶ããŸãã¯ç®ãŸãããããšããããšããããã¯äž¡æ¹ã¯ãœããœã«Lv.80äºä»¶ãé»æ¢ãã fact3: ãœããœã«Lv.80äºä»¶ãçãã ; $hypothesis$ = ã¿ã«ã
ã¿ãLv.86äºä»¶ã¯èµ·ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ã
ã¿ãLv.86äºä»¶ãèµ·ãã; assump1 -> int1: ã¿ã«ã
ã¿ãLv.86äºä»¶ãçããããŸãã¯ç®ãŸãããããšããããšãçºçãã; int1 & fact2 -> int2: ãœããœã«Lv.80äºä»¶ã¯çºçããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({JD} v {DB}) fact2: ({A} v {B}) -> ¬{C} fact3: {C} ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããä¿¡å¿æ·±ããšããããšãèµ·ãã | {A} | fact1: ãœããœãLv.97äºä»¶ã¯çºçããªã fact2: ããœããœãLv.97äºä»¶ãçããããšããããšã¯ä¿¡å¿æ·±ããšããããšãåå ã§ãã fact3: 売ãæ®ãããšã¯çºçããªããšããããšã¯ãã·ãã·ãLv.31äºä»¶ãçºçããªããŠããã«ãœã«ãœãLv.36äºä»¶ã¯çããªãããšããããšãçºçããã fact4: 埮ç¬ãããšãèµ·ãããšããããšã¯ä¿¡å¿æ·±ããšããããšããŸãã¯ããœããœãLv.97äºä»¶ã¯èµ·ããªãããšããããšã«èµ·å ãã fact5: ããœã«ãœãLv.36äºä»¶ã¯èµ·ãããªãããšããããšã¯ãä¿¡å¿æ·±ããšããããšã¯çºçããããããã¯ãœããœãLv.97äºä»¶ã¯çºçããªãããããã¯ã©ã¡ããã ããšããããšããããã | fact1: ¬{B} fact2: {A} -> {B} fact3: ¬{E} -> (¬{D} & ¬{C}) fact4: ({A} v ¬{B}) -> {HN} fact5: ¬{C} -> ({A} v ¬{B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããä¿¡å¿æ·±ããšããããšãèµ·ãã; fact2 & assump1 -> int1: ãœããœãLv.97äºä»¶ãçãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 埮ç¬ãããšãèµ·ãã | {HN} | [] | 8 | 4 | 3 | 4 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœããœãLv.97äºä»¶ã¯çºçããªã fact2: ããœããœãLv.97äºä»¶ãçããããšããããšã¯ä¿¡å¿æ·±ããšããããšãåå ã§ãã fact3: 売ãæ®ãããšã¯çºçããªããšããããšã¯ãã·ãã·ãLv.31äºä»¶ãçºçããªããŠããã«ãœã«ãœãLv.36äºä»¶ã¯çããªãããšããããšãçºçããã fact4: 埮ç¬ãããšãèµ·ãããšããããšã¯ä¿¡å¿æ·±ããšããããšããŸãã¯ããœããœãLv.97äºä»¶ã¯èµ·ããªãããšããããšã«èµ·å ãã fact5: ããœã«ãœãLv.36äºä»¶ã¯èµ·ãããªãããšããããšã¯ãä¿¡å¿æ·±ããšããããšã¯çºçããããããã¯ãœããœãLv.97äºä»¶ã¯çºçããªãããããã¯ã©ã¡ããã ããšããããšããããã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããä¿¡å¿æ·±ããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããä¿¡å¿æ·±ããšããããšãèµ·ãã; fact2 & assump1 -> int1: ãœããœãLv.97äºä»¶ãçãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B} fact2: {A} -> {B} fact3: ¬{E} -> (¬{D} & ¬{C}) fact4: ({A} v ¬{B}) -> {HN} fact5: ¬{C} -> ({A} v ¬{B}) ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; fact2 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |