version
stringclasses 1
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stringlengths 9
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stringlengths 3
35
| facts
stringlengths 0
630
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stringlengths 0
381
| proofs
sequencelengths 0
1
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sequencelengths 0
1
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stringlengths 9
82
â | negative_hypothesis_formula
stringlengths 3
37
â | negative_proofs
sequencelengths 0
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int64 0
13
â | original_tree_steps
int64 1
5
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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
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283
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stringlengths 53
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stringlengths 11
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãã¡ã
ããLv.38äºä»¶ãçºçãã | {E} | fact1: äœã¿è¯ããšããããšãçºçãã fact2: å·Šå³ããæããšããããšãçºçãããšããããšããã¡ã
ããLv.38äºä»¶ãèµ·ãããªããšããããšã¯ãŸããŸã¡ãLv.9äºä»¶ã¯ãã£ããã fact3: ä»®ã«ãäœã¿è¯ããšããããšã¯çºçããããŸã¡ããŸã«Lv.58äºä»¶ã¯çºçããããããã¯ã©ã¡ããã ããšããããšã¯äºå®ã§ããã°ãŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯èµ·ãããªã fact4: ãŸã¡ããŸã«Lv.58äºä»¶ããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯çããªããšããããšãæã fact5: ããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯èµ·ãããªãããŸã¡ããŸã«Lv.58äºä»¶ã¯çºçããªãããšããããšã¯ãå¡ãæããšããããšã¯èµ·ãããªãããšããããšãåå ã fact6: å¡ãæããšããããšãèµ·ãã fact7: ããä»®ã«å¡ãæããšããããšã¯èµ·ããªãããããã¯ãŸã¡ããŸã«Lv.58äºä»¶ãèµ·ãããªããšãããšãŸã¡ããŸã«Lv.58äºä»¶ã¯èµ·ããªã fact8: ãã¡ã
ããLv.38äºä»¶ãèµ·ãããšããããšã¯ãå¡ãæããšããããšã¯çºçããããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯çºçããªãããšããããšã«ããçºçãã | fact1: {A} fact2: {G} -> ({F} v ¬{E}) fact3: ({A} v {B}) -> ¬{C} fact4: {B} -> ¬{C} fact5: ¬{D} -> (¬{C} & ¬{B}) fact6: {D} fact7: (¬{D} v ¬{B}) -> ¬{B} fact8: ({D} & ¬{C}) -> {E} | [
"fact1 -> int1: äœã¿è¯ããšããããšãèµ·ããããããã¯ãŸã¡ããŸã«Lv.58äºä»¶ãèµ·ããããããã¯äž¡æ¹ã ; int1 & fact3 -> int2: ãŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯èµ·ããªã; int2 & fact6 -> int3: å¡ãæããšããããšã¯çºçããããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯çããªã; int3 & fact8 -> hypothesis;"
] | [
"fact1 -> int1: ({A} v {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact6 -> int3: ({D} & ¬{C}); int3 & fact8 -> hypothesis;"
] | ãã¡ã
ããLv.38äºä»¶ã¯èµ·ãããªã | ¬{E} | [] | 6 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: äœã¿è¯ããšããããšãçºçãã fact2: å·Šå³ããæããšããããšãçºçãããšããããšããã¡ã
ããLv.38äºä»¶ãèµ·ãããªããšããããšã¯ãŸããŸã¡ãLv.9äºä»¶ã¯ãã£ããã fact3: ä»®ã«ãäœã¿è¯ããšããããšã¯çºçããããŸã¡ããŸã«Lv.58äºä»¶ã¯çºçããããããã¯ã©ã¡ããã ããšããããšã¯äºå®ã§ããã°ãŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯èµ·ãããªã fact4: ãŸã¡ããŸã«Lv.58äºä»¶ããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯çããªããšããããšãæã fact5: ããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯èµ·ãããªãããŸã¡ããŸã«Lv.58äºä»¶ã¯çºçããªãããšããããšã¯ãå¡ãæããšããããšã¯èµ·ãããªãããšããããšãåå ã fact6: å¡ãæããšããããšãèµ·ãã fact7: ããä»®ã«å¡ãæããšããããšã¯èµ·ããªãããããã¯ãŸã¡ããŸã«Lv.58äºä»¶ãèµ·ãããªããšãããšãŸã¡ããŸã«Lv.58äºä»¶ã¯èµ·ããªã fact8: ãã¡ã
ããLv.38äºä»¶ãèµ·ãããšããããšã¯ãå¡ãæããšããããšã¯çºçããããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯çºçããªãããšããããšã«ããçºçãã ; $hypothesis$ = ãã¡ã
ããLv.38äºä»¶ãçºçãã ; $proof$ = | fact1 -> int1: äœã¿è¯ããšããããšãèµ·ããããããã¯ãŸã¡ããŸã«Lv.58äºä»¶ãèµ·ããããããã¯äž¡æ¹ã ; int1 & fact3 -> int2: ãŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯èµ·ããªã; int2 & fact6 -> int3: å¡ãæããšããããšã¯çºçããããŽã¡ããŽã¡ã
Lv.64äºä»¶ã¯çããªã; int3 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {G} -> ({F} v ¬{E}) fact3: ({A} v {B}) -> ¬{C} fact4: {B} -> ¬{C} fact5: ¬{D} -> (¬{C} & ¬{B}) fact6: {D} fact7: (¬{D} v ¬{B}) -> ¬{B} fact8: ({D} & ¬{C}) -> {E} ; $hypothesis$ = {E} ; $proof$ = | fact1 -> int1: ({A} v {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact6 -> int3: ({D} & ¬{C}); int3 & fact8 -> hypothesis; __PROVED__ |
0.3 | ãããããœããœã«Lv.86äºä»¶ãèµ·ããªããšããããœããœã«Lv.86äºä»¶ã¯çããªããã©ãŸã«ããŸãLv.91äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬(¬{A} -> (¬{A} & {B})) | fact1: ãããã¡ã
Lv.28äºä»¶ã¯çããªã fact2: ããä»®ã«ãŽã¡ããŽã«ãLv.38äºä»¶ãèµ·ããã°ãŽã¡ããŽã«ãLv.38äºä»¶ã¯çããªããæãæããšããããšãèµ·ãã fact3: ããããããã¡ã
Lv.28äºä»¶ã¯èµ·ããªããªãã°åŒ·ããšããããšã¯çããªãã现é·ããšããããšã¯èµ·ããªã fact4: ãŸã«ããŸã«ã
Lv.45äºä»¶ãçºçãã | fact1: ¬{E} fact2: {GK} -> (¬{GK} & {CA}) fact3: ¬{E} -> (¬{D} & ¬{BT}) fact4: {C} | [] | [] | 现é·ããšããããšã§ã¯ãªããŽã¡ããŽãLv.98äºä»¶ãèµ·ãã | (¬{BT} & {FA}) | [
"fact6 & fact5 -> int1: 匷ããšããããšã¯èµ·ãããªããŠããŸãã«çŽ°é·ããšããããšã¯çºçããªã; int1 -> int2: 现é·ããšããããšã¯çºçããªã;"
] | 5 | 4 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã¡ã
Lv.28äºä»¶ã¯çããªã fact2: ããä»®ã«ãŽã¡ããŽã«ãLv.38äºä»¶ãèµ·ããã°ãŽã¡ããŽã«ãLv.38äºä»¶ã¯çããªããæãæããšããããšãèµ·ãã fact3: ããããããã¡ã
Lv.28äºä»¶ã¯èµ·ããªããªãã°åŒ·ããšããããšã¯çããªãã现é·ããšããããšã¯èµ·ããªã fact4: ãŸã«ããŸã«ã
Lv.45äºä»¶ãçºçãã ; $hypothesis$ = ãããããœããœã«Lv.86äºä»¶ãèµ·ããªããšããããœããœã«Lv.86äºä»¶ã¯çããªããã©ãŸã«ããŸãLv.91äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{E} fact2: {GK} -> (¬{GK} & {CA}) fact3: ¬{E} -> (¬{D} & ¬{BT}) fact4: {C} ; $hypothesis$ = ¬(¬{A} -> (¬{A} & {B})) ; $proof$ = | __UNKNOWN__ |
0.3 | ã管çæ¯é
ããããšãèµ·ããªããå ããŠããããLv.4äºä»¶ã¯çºçããªãããšããããšã¯ééãã | ¬(¬{G} & ¬{F}) | fact1: ããããLv.4äºä»¶ãèµ·ããªããšããããšã¯ãåéããæããšããããšã¯çºçããªãäžæ¹ã§ãŽããŽãªLv.33äºä»¶ãèµ·ããããšããããšã¯å¥æ©ã fact2: ãããè¯ããšããããšãèµ·ãã fact3: ããŸã®ãŸãLv.50äºä»¶ã¯çºçããªãããšããããšã¯ãåéããæããšããããšã§ã¯ãªããŠãŽããŽãªLv.33äºä»¶ãçºçããããšããããšã®ãã£ãããšãªã fact4: ããããLv.4äºä»¶ã¯çºçããªããšããããšã¯ã管çæ¯é
ããããšãèµ·ãããªããããã«ããããLv.4äºä»¶ã¯çºçããªãããšããããšã®ãã£ãããšãªã fact5: ããŽããŽãªLv.33äºä»¶ãçºçããããšããããšã¯ãŸã®ãŸãLv.50äºä»¶ãèµ·ãããªããšããããšã¯å¥æ©ã§ãã fact6: ããä»®ã«ãäŒããæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãªãã管çæ¯é
ããããšã¯çããªããŠããããLv.4äºä»¶ã¯çºçããªãããšããããšã¯åã | fact1: (¬{D} & {E}) -> ¬{F} fact2: {B} fact3: ¬{C} -> (¬{D} & {E}) fact4: ¬{F} -> (¬{G} & ¬{F}) fact5: ¬{C} -> {E} fact6: ¬{A} -> ¬(¬{G} & ¬{F}) | [
"fact2 -> int1: äŒããæããšããããšãèµ·ããããããã¯ãããè¯ããšããããšãçºçããããŸãã¯äž¡æ¹ãšãã§ãã;"
] | [
"fact2 -> int1: ({A} v {B});"
] | ã管çæ¯é
ããããšãèµ·ããªããå ããŠããããLv.4äºä»¶ã¯çºçããªãããšããããšã¯ééãã | ¬(¬{G} & ¬{F}) | [] | 6 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããLv.4äºä»¶ãèµ·ããªããšããããšã¯ãåéããæããšããããšã¯çºçããªãäžæ¹ã§ãŽããŽãªLv.33äºä»¶ãèµ·ããããšããããšã¯å¥æ©ã fact2: ãããè¯ããšããããšãèµ·ãã fact3: ããŸã®ãŸãLv.50äºä»¶ã¯çºçããªãããšããããšã¯ãåéããæããšããããšã§ã¯ãªããŠãŽããŽãªLv.33äºä»¶ãçºçããããšããããšã®ãã£ãããšãªã fact4: ããããLv.4äºä»¶ã¯çºçããªããšããããšã¯ã管çæ¯é
ããããšãèµ·ãããªããããã«ããããLv.4äºä»¶ã¯çºçããªãããšããããšã®ãã£ãããšãªã fact5: ããŽããŽãªLv.33äºä»¶ãçºçããããšããããšã¯ãŸã®ãŸãLv.50äºä»¶ãèµ·ãããªããšããããšã¯å¥æ©ã§ãã fact6: ããä»®ã«ãäŒããæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãªãã管çæ¯é
ããããšã¯çããªããŠããããLv.4äºä»¶ã¯çºçããªãããšããããšã¯åã ; $hypothesis$ = ã管çæ¯é
ããããšãèµ·ããªããå ããŠããããLv.4äºä»¶ã¯çºçããªãããšããããšã¯ééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{D} & {E}) -> ¬{F} fact2: {B} fact3: ¬{C} -> (¬{D} & {E}) fact4: ¬{F} -> (¬{G} & ¬{F}) fact5: ¬{C} -> {E} fact6: ¬{A} -> ¬(¬{G} & ¬{F}) ; $hypothesis$ = ¬(¬{G} & ¬{F}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããç¡ããªã | ¬{D}{b} | fact1: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããªã fact2: ãã®ãŽã«ããŽã¡ã
Lv.40ãæ±ãããããšããããã®ãŽã«ããŽã¡ã
Lv.40ã¯åãã fact3: ããã®ãŸã«ããŸã«ã
Lv.88ã¯æ ¹æ°è¯ããªãããããã¯ããã¯æ¹å¿ããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããªããŠå ããŠåããã°ãããç¡ããªã fact5: ããä»®ã«ããã®ãŸã«ããŸã«ã
Lv.88ã¯æ ¹æ°è¯ããªããæ¹å¿ããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯ééãã§ãããªãã°ãã®ãŽã«ããŽã¡ã
Lv.40ã¯æ±ãããã fact6: ããä»®ã«ããã®ãŸã«ããŸã«ã
Lv.88ã¯æ ¹æ°è¯ããªãããããã¯æ¹å¿ããªãããããã¯ã©ã¡ããã§ããããšããããšã¯ç¢ºãã§ãªããªããã®ãŽã«ããŽã¡ã
Lv.40ã¯æ±ãããã fact7: æ ¹æ°è¯ãã¢ã³ã¹ã¿ãŒã¯ã°ãããã | fact1: {C}{b} fact2: {B}{b} -> {A}{b} fact3: ¬(¬{AA}{a} v ¬{AB}{a}) fact4: ({C}{b} & {A}{b}) -> ¬{D}{b} fact5: ¬(¬{AA}{a} v {AB}{a}) -> {B}{b} fact6: ¬(¬{AA}{a} v ¬{AB}{a}) -> {B}{b} fact7: (x): {AA}x -> {GL}x | [
"fact6 & fact3 -> int1: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯æ±ãããã; int1 & fact2 -> int2: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯åãã; int2 & fact1 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããªãããã€åãã; int3 & fact4 -> hypothesis;"
] | [
"fact6 & fact3 -> int1: {B}{b}; int1 & fact2 -> int2: {A}{b}; int2 & fact1 -> int3: ({C}{b} & {A}{b}); int3 & fact4 -> hypothesis;"
] | ããä»®ã«ãã®ãŸã«ããŸã«ã
Lv.88ãæ ¹æ°è¯ããšããã°ããã¯ã°ãããã | {AA}{a} -> {GL}{a} | [
"fact8 -> hypothesis;"
] | 1 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããªã fact2: ãã®ãŽã«ããŽã¡ã
Lv.40ãæ±ãããããšããããã®ãŽã«ããŽã¡ã
Lv.40ã¯åãã fact3: ããã®ãŸã«ããŸã«ã
Lv.88ã¯æ ¹æ°è¯ããªãããããã¯ããã¯æ¹å¿ããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããªããŠå ããŠåããã°ãããç¡ããªã fact5: ããä»®ã«ããã®ãŸã«ããŸã«ã
Lv.88ã¯æ ¹æ°è¯ããªããæ¹å¿ããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯ééãã§ãããªãã°ãã®ãŽã«ããŽã¡ã
Lv.40ã¯æ±ãããã fact6: ããä»®ã«ããã®ãŸã«ããŸã«ã
Lv.88ã¯æ ¹æ°è¯ããªãããããã¯æ¹å¿ããªãããããã¯ã©ã¡ããã§ããããšããããšã¯ç¢ºãã§ãªããªããã®ãŽã«ããŽã¡ã
Lv.40ã¯æ±ãããã fact7: æ ¹æ°è¯ãã¢ã³ã¹ã¿ãŒã¯ã°ãããã ; $hypothesis$ = ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããç¡ããªã ; $proof$ = | fact6 & fact3 -> int1: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯æ±ãããã; int1 & fact2 -> int2: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯åãã; int2 & fact1 -> int3: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯ãããªãããã€åãã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{b} fact2: {B}{b} -> {A}{b} fact3: ¬(¬{AA}{a} v ¬{AB}{a}) fact4: ({C}{b} & {A}{b}) -> ¬{D}{b} fact5: ¬(¬{AA}{a} v {AB}{a}) -> {B}{b} fact6: ¬(¬{AA}{a} v ¬{AB}{a}) -> {B}{b} fact7: (x): {AA}x -> {GL}x ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact6 & fact3 -> int1: {B}{b}; int1 & fact2 -> int2: {A}{b}; int2 & fact1 -> int3: ({C}{b} & {A}{b}); int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | æã¡äžããããšãšç²ãé£ããšããããšãçãã | ({A} & {B}) | fact1: ããäžæ³ããããšã¯èµ·ãããªããªãã°ãæã¡äžããããšãçºçãããå ããŠç²ãé£ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact2: ã¿ãã¿ãLv.86äºä»¶ã¯èµ·ãããªã fact3: å€å¥ãé£ããšããããšã¯çããªããŠã¿ãã¿ãLv.86äºä»¶ã¯èµ·ããªã fact4: ããããœããœãLv.92äºä»¶ãèµ·ãããªããæŽã«ããããLv.92äºä»¶ãçºçããªããšãããšäžæ³ããããšã¯èµ·ãããªã fact5: ç²ãé£ããšããããšãèµ·ãã fact6: 女ã£ãœããšããããšã¯çããªã fact7: ãæã¡äžããããšã¯çºçããªãããšããããšã¯æãç«ã€ãªããå€å¥ãé£ããšããããšã¯çããªããŠå ããŠã¿ãã¿ãLv.86äºä»¶ã¯çããªãããšããããšã¯èª€ãã§ãã | fact1: ¬{C} -> ¬({A} & {B}) fact2: ¬{AB} fact3: (¬{AA} & ¬{AB}) fact4: (¬{E} & ¬{D}) -> ¬{C} fact5: {B} fact6: ¬{GQ} fact7: ¬{A} -> ¬(¬{AA} & ¬{AB}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæã¡äžããããšã¯çºçããªã; fact7 & assump1 -> int1: ãå€å¥ãé£ããšããããšã¯çºçããªããŠå ããŠã¿ãã¿ãLv.86äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: æã¡äžããããšãèµ·ãã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact7 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact5 -> hypothesis;"
] | ããæã¡äžããããšãèµ·ãããç²ãé£ããšããããšãçããããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ | ¬({A} & {B}) | [] | 7 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããäžæ³ããããšã¯èµ·ãããªããªãã°ãæã¡äžããããšãçºçãããå ããŠç²ãé£ããšããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact2: ã¿ãã¿ãLv.86äºä»¶ã¯èµ·ãããªã fact3: å€å¥ãé£ããšããããšã¯çããªããŠã¿ãã¿ãLv.86äºä»¶ã¯èµ·ããªã fact4: ããããœããœãLv.92äºä»¶ãèµ·ãããªããæŽã«ããããLv.92äºä»¶ãçºçããªããšãããšäžæ³ããããšã¯èµ·ãããªã fact5: ç²ãé£ããšããããšãèµ·ãã fact6: 女ã£ãœããšããããšã¯çããªã fact7: ãæã¡äžããããšã¯çºçããªãããšããããšã¯æãç«ã€ãªããå€å¥ãé£ããšããããšã¯çããªããŠå ããŠã¿ãã¿ãLv.86äºä»¶ã¯çããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = æã¡äžããããšãšç²ãé£ããšããããšãçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæã¡äžããããšã¯çºçããªã; fact7 & assump1 -> int1: ãå€å¥ãé£ããšããããšã¯çºçããªããŠå ããŠã¿ãã¿ãLv.86äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: æã¡äžããããšãèµ·ãã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C} -> ¬({A} & {B}) fact2: ¬{AB} fact3: (¬{AA} & ¬{AB}) fact4: (¬{E} & ¬{D}) -> ¬{C} fact5: {B} fact6: ¬{GQ} fact7: ¬{A} -> ¬(¬{AA} & ¬{AB}) ; $hypothesis$ = ({A} & {B}) ; $proof$ = | void -> assump1: ¬{A}; fact7 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸã«ãLv.44ã¯é¿åããã | {A}{a} | fact1: ããããã®ãŸã«ãŸãLv.52ãé¿åããããšãããšãã®ãŸã«ããŸã«ãLv.44ã¯æ€çŽ¢ããããã©è²ã¡é£ããšããããšã¯ãªã fact2: ãã®ãŸã«ããŸã«ãLv.44ãé¿åããããšããã°ãã®ãŸã«ããŸã«ãLv.44ã¯è²ã¡é£ããªãäžæ¹ã§è»¢ãå¯ãã fact3: ãã®ãŸã«ããŸã«ãLv.44ã¯è²ã¡é£ããªããããã転ãå¯ãããšããã°æ€çŽ¢ããªã fact4: ãããã®ãŸã«ããŸã«ãLv.44ãæ€çŽ¢ããããããè²ã¡é£ããªããšãããšãã®ã¿ãã¿ã«ã
Lv.3ã¯è²ã¡é£ã fact5: ãã®ãŸã«ããŸã«ãLv.44ã¯æ€çŽ¢ãã | fact1: {A}{b} -> ({B}{a} & ¬{AA}{a}) fact2: {A}{a} -> (¬{AA}{a} & {AB}{a}) fact3: (¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact4: ({B}{a} & ¬{AA}{a}) -> {AA}{ho} fact5: {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸã«ãLv.44ã¯é¿åããã; fact2 & assump1 -> int1: ãã®ãŸã«ããŸã«ãLv.44ã¯è²ã¡é£ããªãã転ãå¯ãã; int1 & fact3 -> int2: ãã®ãŸã«ããŸã«ãLv.44ã¯æ€çŽ¢ããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: (¬{AA}{a} & {AB}{a}); int1 & fact3 -> int2: ¬{B}{a}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãã®ã¿ãã¿ã«ã
Lv.3ã¯è²ã¡é£ã | {AA}{ho} | [] | 5 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸã«ãŸãLv.52ãé¿åããããšãããšãã®ãŸã«ããŸã«ãLv.44ã¯æ€çŽ¢ããããã©è²ã¡é£ããšããããšã¯ãªã fact2: ãã®ãŸã«ããŸã«ãLv.44ãé¿åããããšããã°ãã®ãŸã«ããŸã«ãLv.44ã¯è²ã¡é£ããªãäžæ¹ã§è»¢ãå¯ãã fact3: ãã®ãŸã«ããŸã«ãLv.44ã¯è²ã¡é£ããªããããã転ãå¯ãããšããã°æ€çŽ¢ããªã fact4: ãããã®ãŸã«ããŸã«ãLv.44ãæ€çŽ¢ããããããè²ã¡é£ããªããšãããšãã®ã¿ãã¿ã«ã
Lv.3ã¯è²ã¡é£ã fact5: ãã®ãŸã«ããŸã«ãLv.44ã¯æ€çŽ¢ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸã«ãLv.44ã¯é¿åããã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸã«ãLv.44ã¯é¿åããã; fact2 & assump1 -> int1: ãã®ãŸã«ããŸã«ãLv.44ã¯è²ã¡é£ããªãã転ãå¯ãã; int1 & fact3 -> int2: ãã®ãŸã«ããŸã«ãLv.44ã¯æ€çŽ¢ããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{b} -> ({B}{a} & ¬{AA}{a}) fact2: {A}{a} -> (¬{AA}{a} & {AB}{a}) fact3: (¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact4: ({B}{a} & ¬{AA}{a}) -> {AA}{ho} fact5: {B}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact2 & assump1 -> int1: (¬{AA}{a} & {AB}{a}); int1 & fact3 -> int2: ¬{B}{a}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãœããœãLv.6äºä»¶ãèµ·ãã | {F} | fact1: å€æãå
Œããããšãèµ·ãããäžç¥èŸããšããããšãçºçãã fact2: ãäžç¥èŸããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšãããšå€æãå
Œããããšã¯çããªããŠãŽããŽãªLv.15äºä»¶ã¯èµ·ãããªã fact3: ãŽã«ãŽã«ã
Lv.43äºä»¶ã¯èµ·ããªã fact4: å€æãå
Œããããšãšè©®ç¡ããšããããšãèµ·ãããšããããœã¡ããœãLv.78äºä»¶ã¯èµ·ãããªã fact5: ããããœã¡ããœãLv.78äºä»¶ã¯èµ·ãããªãããŽã«ãŽã«ã
Lv.43äºä»¶ã¯çããªããšããã°ãœããœãLv.6äºä»¶ãçãã fact6: äžç¥èŸããšããããšãçºçãã | fact1: ({A} & {B}) fact2: ¬{B} -> (¬{A} & ¬{GL}) fact3: ¬{E} fact4: ({A} & {C}) -> ¬{D} fact5: (¬{D} & ¬{E}) -> {F} fact6: {B} | [
"fact1 -> int1: å€æãå
Œããããšãçºçãã;"
] | [
"fact1 -> int1: {A};"
] | ãŽããŽãªLv.15äºä»¶ã¯èµ·ããªã | ¬{GL} | [] | 6 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: å€æãå
Œããããšãèµ·ãããäžç¥èŸããšããããšãçºçãã fact2: ãäžç¥èŸããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšãããšå€æãå
Œããããšã¯çããªããŠãŽããŽãªLv.15äºä»¶ã¯èµ·ãããªã fact3: ãŽã«ãŽã«ã
Lv.43äºä»¶ã¯èµ·ããªã fact4: å€æãå
Œããããšãšè©®ç¡ããšããããšãèµ·ãããšããããœã¡ããœãLv.78äºä»¶ã¯èµ·ãããªã fact5: ããããœã¡ããœãLv.78äºä»¶ã¯èµ·ãããªãããŽã«ãŽã«ã
Lv.43äºä»¶ã¯çããªããšããã°ãœããœãLv.6äºä»¶ãçãã fact6: äžç¥èŸããšããããšãçºçãã ; $hypothesis$ = ãœããœãLv.6äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{B} -> (¬{A} & ¬{GL}) fact3: ¬{E} fact4: ({A} & {C}) -> ¬{D} fact5: (¬{D} & ¬{E}) -> {F} fact6: {B} ; $hypothesis$ = {F} ; $proof$ = | __UNKNOWN__ |
0.3 | éããšããããšã¯çããªã | ¬{A} | fact1: ãŸããŸãLv.28äºä»¶ãèµ·ãããªããŠããã«ãã«ããLv.33äºä»¶ã¯èµ·ããªã fact2: 掻åãæããšããããšã¯çããªã fact3: é£ã³åºãããšã¯çºçããªããå ããŠéè³ãæããšããããšã¯èµ·ããªã fact4: ãéããšããããšããã³ãã«ããã«ã
Lv.95äºä»¶ãçºçããããšããããšã¯ãŸããŸãªLv.25äºä»¶ã¯èµ·ããªããšããããšã«ãããããã fact5: ããœã«ããœã«ãLv.36äºä»¶ã¯çºçããªããŠãŸããŸãªLv.25äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªããŸããŸãªLv.25äºä»¶ã¯èµ·ããªã fact6: ããéããšããããšãçããã°ãé£ã³åºãããšã¯çºçããªããŠå ããŠéè³ãæããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã | fact1: (¬{BE} & ¬{EA}) fact2: ¬{IF} fact3: (¬{AA} & ¬{AB}) fact4: ¬{C} -> ({A} & {B}) fact5: ¬(¬{E} & {C}) -> ¬{C} fact6: {A} -> ¬(¬{AA} & ¬{AB}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããéããšããããšãèµ·ãã; fact6 & assump1 -> int1: ãé£ã³åºãããšã¯èµ·ãããªããŠããŸãã«éè³ãæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact6 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããéããšããããšãèµ·ãã | {A} | [] | 7 | 4 | 3 | 4 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŸããŸãLv.28äºä»¶ãèµ·ãããªããŠããã«ãã«ããLv.33äºä»¶ã¯èµ·ããªã fact2: 掻åãæããšããããšã¯çããªã fact3: é£ã³åºãããšã¯çºçããªããå ããŠéè³ãæããšããããšã¯èµ·ããªã fact4: ãéããšããããšããã³ãã«ããã«ã
Lv.95äºä»¶ãçºçããããšããããšã¯ãŸããŸãªLv.25äºä»¶ã¯èµ·ããªããšããããšã«ãããããã fact5: ããœã«ããœã«ãLv.36äºä»¶ã¯çºçããªããŠãŸããŸãªLv.25äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããªããŸããŸãªLv.25äºä»¶ã¯èµ·ããªã fact6: ããéããšããããšãçããã°ãé£ã³åºãããšã¯çºçããªããŠå ããŠéè³ãæããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = éããšããããšã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããéããšããããšãèµ·ãã; fact6 & assump1 -> int1: ãé£ã³åºãããšã¯èµ·ãããªããŠããŸãã«éè³ãæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{BE} & ¬{EA}) fact2: ¬{IF} fact3: (¬{AA} & ¬{AB}) fact4: ¬{C} -> ({A} & {B}) fact5: ¬(¬{E} & {C}) -> ¬{C} fact6: {A} -> ¬(¬{AA} & ¬{AB}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; fact6 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããããã®ãŸããŸãLv.63ã¯ééãæããªãããããããã¯äœãæãããšããããšã¯çå®ã§ãã | (¬{A}{aa} & {B}{aa}) | fact1: æž
ããªãã¢ã³ã¹ã¿ãŒã¯ééãæããªãäžæ¹ã§äœãæã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãééãæããšããããšã¯ãªãããããäœãæããªãã°ãã®ãã«ããLv.34ã¯æž
ããšããããšã¯ãªã fact3: ãã®ãã«ããLv.34ã¯æž
ã | fact1: (x): ¬{C}x -> (¬{A}x & {B}x) fact2: (x): (¬{A}x & {B}x) -> ¬{C}{a} fact3: {C}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸããŸãLv.63ã¯ééãæããªãããããããã¯äœãæãããšããããšã¯çå®ã§ãã; assump1 -> int1: ãšããã¢ã³ã¹ã¿ãŒã¯ééãæããªãããããäœãæã; int1 & fact2 -> int2: ãã®ãã«ããLv.34ã¯æž
ããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: (¬{A}{aa} & {B}{aa}); assump1 -> int1: (Ex): (¬{A}x & {B}x); int1 & fact2 -> int2: ¬{C}{a}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããããã®ãŸããŸãLv.63ã¯ééãæããªãããããããã¯äœãæãããšããããšã¯çå®ã§ãã | (¬{A}{aa} & {B}{aa}) | [
"fact4 -> int4: ããä»®ã«ãã®ãŸããŸãLv.63ãæž
ããªããšããããã®ãŸããŸãLv.63ã¯ééãæããšããããšã¯ãªããã©ããã¯äœãæã;"
] | 4 | 5 | 3 | 5 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æž
ããªãã¢ã³ã¹ã¿ãŒã¯ééãæããªãäžæ¹ã§äœãæã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãééãæããšããããšã¯ãªãããããäœãæããªãã°ãã®ãã«ããLv.34ã¯æž
ããšããããšã¯ãªã fact3: ãã®ãã«ããLv.34ã¯æž
ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããã®ãŸããŸãLv.63ã¯ééãæããªãããããããã¯äœãæãããšããããšã¯çå®ã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸããŸãLv.63ã¯ééãæããªãããããããã¯äœãæãããšããããšã¯çå®ã§ãã; assump1 -> int1: ãšããã¢ã³ã¹ã¿ãŒã¯ééãæããªãããããäœãæã; int1 & fact2 -> int2: ãã®ãã«ããLv.34ã¯æž
ããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> (¬{A}x & {B}x) fact2: (x): (¬{A}x & {B}x) -> ¬{C}{a} fact3: {C}{a} ; $hypothesis$ = (¬{A}{aa} & {B}{aa}) ; $proof$ = | void -> assump1: (¬{A}{aa} & {B}{aa}); assump1 -> int1: (Ex): (¬{A}x & {B}x); int1 & fact2 -> int2: ¬{C}{a}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ãããLv.78ã¯è¡ããããªããããã¯ã¢ããããŒãããªã | (¬{D}{b} & ¬{A}{b}) | fact1: è¡ãããã¢ã³ã¹ã¿ãŒã¯åè«ã£ãœã fact2: ä»®ã«ããã®ã¿ã«ãã¿ãLv.81ã¯ã¢ããããŒãããªãããããã¯é
ãå§ããããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšãããšãã®ãããã¡ã
Lv.77ã¯èª¬æãæããªã fact3: ãããã®ã¿ã«ãã¿ãLv.81ã厩ãæããªããæŽã«èª¬æãæããªããšããããã®ãã«ãããLv.78ã¯é
ãå§ããªã fact4: ãããããã®ã¿ã«ãã¿ãLv.81ã¯åè«ã£ãœããã©é
ãå§ããªãããšããããšã¯åã§ãããªããã®ã¿ã«ãã¿ãLv.81ã¯ã¢ããããŒããã fact5: ããä»®ã«ããã®ãã«ãããLv.78ã¯å²ãæããªããããã¯è¿·ä¿¡æ·±ããªãããšããããšã¯åãªããã®ã¿ã«ãã¿ãLv.81ã¯å²ãæã fact6: ãã®ã¿ã«ãã¿ãLv.81ã¯åŽ©ãæããªããŠå ããŠèª¬æãæããªã fact7: ããããã®ãã«ãããLv.78ã¯é
ãå§ããªãããšããããšã¯ééãã§ãªããªãã°é
ãå§ãããšããããšã¯ãªããåè«ã£ãœããšããããšã¯ãªã fact8: ããããäœããã®ã¢ã³ã¹ã¿ãŒã¯å²ãæãããšããããšã¯äºå®ãªãè¡ããã fact9: ä»®ã«ãã®ãã«ãããLv.78ã¯åè«ã£ãœããªããªãã°ãè¡ããããªããã¢ããããŒãããªãããšããããšã¯æ£ãã | fact1: (x): {D}x -> {C}x fact2: ¬(¬{A}{a} v {B}{a}) -> ¬{AB}{dt} fact3: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact4: ¬({C}{a} & ¬{B}{a}) -> {A}{a} fact5: ¬(¬{E}{b} & ¬{G}{b}) -> {E}{a} fact6: (¬{AA}{a} & ¬{AB}{a}) fact7: ¬{B}{b} -> (¬{B}{b} & ¬{C}{b}) fact8: (x): {E}x -> {D}x fact9: ¬{C}{b} -> (¬{D}{b} & ¬{A}{b}) | [
"fact3 & fact6 -> int1: ããã®ãã«ãããLv.78ã¯é
ãå§ããªãããšããããšã¯æãç«ã€; int1 & fact7 -> int2: ãã®ãã«ãããLv.78ã¯é
ãå§ããªããŠãŸãåè«ã£ãœããšããããšã¯ãªã; int2 -> int3: ãã®ãã«ãããLv.78ã¯åè«ã£ãœããªã; int3 & fact9 -> hypothesis;"
] | [
"fact3 & fact6 -> int1: ¬{B}{b}; int1 & fact7 -> int2: (¬{B}{b} & ¬{C}{b}); int2 -> int3: ¬{C}{b}; int3 & fact9 -> hypothesis;"
] | ãã®ãããã¡ã
Lv.77ã¯èª¬æãæããªã | ¬{AB}{dt} | [
"fact11 -> int4: ãããããã®ã¿ã«ãã¿ãLv.81ã¯è¡ãããããšããããšã¯æãç«ã€ãšãããšãããã¯åè«ã£ãœãããšããããšã¯æ£ãã; fact13 -> int5: ãããã®ã¿ã«ãã¿ãLv.81ãå²ãæããšãããšããã¯è¡ããã;"
] | 6 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: è¡ãããã¢ã³ã¹ã¿ãŒã¯åè«ã£ãœã fact2: ä»®ã«ããã®ã¿ã«ãã¿ãLv.81ã¯ã¢ããããŒãããªãããããã¯é
ãå§ããããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšãããšãã®ãããã¡ã
Lv.77ã¯èª¬æãæããªã fact3: ãããã®ã¿ã«ãã¿ãLv.81ã厩ãæããªããæŽã«èª¬æãæããªããšããããã®ãã«ãããLv.78ã¯é
ãå§ããªã fact4: ãããããã®ã¿ã«ãã¿ãLv.81ã¯åè«ã£ãœããã©é
ãå§ããªãããšããããšã¯åã§ãããªããã®ã¿ã«ãã¿ãLv.81ã¯ã¢ããããŒããã fact5: ããä»®ã«ããã®ãã«ãããLv.78ã¯å²ãæããªããããã¯è¿·ä¿¡æ·±ããªãããšããããšã¯åãªããã®ã¿ã«ãã¿ãLv.81ã¯å²ãæã fact6: ãã®ã¿ã«ãã¿ãLv.81ã¯åŽ©ãæããªããŠå ããŠèª¬æãæããªã fact7: ããããã®ãã«ãããLv.78ã¯é
ãå§ããªãããšããããšã¯ééãã§ãªããªãã°é
ãå§ãããšããããšã¯ãªããåè«ã£ãœããšããããšã¯ãªã fact8: ããããäœããã®ã¢ã³ã¹ã¿ãŒã¯å²ãæãããšããããšã¯äºå®ãªãè¡ããã fact9: ä»®ã«ãã®ãã«ãããLv.78ã¯åè«ã£ãœããªããªãã°ãè¡ããããªããã¢ããããŒãããªãããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ãã«ãããLv.78ã¯è¡ããããªããããã¯ã¢ããããŒãããªã ; $proof$ = | fact3 & fact6 -> int1: ããã®ãã«ãããLv.78ã¯é
ãå§ããªãããšããããšã¯æãç«ã€; int1 & fact7 -> int2: ãã®ãã«ãããLv.78ã¯é
ãå§ããªããŠãŸãåè«ã£ãœããšããããšã¯ãªã; int2 -> int3: ãã®ãã«ãããLv.78ã¯åè«ã£ãœããªã; int3 & fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {D}x -> {C}x fact2: ¬(¬{A}{a} v {B}{a}) -> ¬{AB}{dt} fact3: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact4: ¬({C}{a} & ¬{B}{a}) -> {A}{a} fact5: ¬(¬{E}{b} & ¬{G}{b}) -> {E}{a} fact6: (¬{AA}{a} & ¬{AB}{a}) fact7: ¬{B}{b} -> (¬{B}{b} & ¬{C}{b}) fact8: (x): {E}x -> {D}x fact9: ¬{C}{b} -> (¬{D}{b} & ¬{A}{b}) ; $hypothesis$ = (¬{D}{b} & ¬{A}{b}) ; $proof$ = | fact3 & fact6 -> int1: ¬{B}{b}; int1 & fact7 -> int2: (¬{B}{b} & ¬{C}{b}); int2 -> int3: ¬{C}{b}; int3 & fact9 -> hypothesis; __PROVED__ |
0.3 | åªããšããããšãçºçãã | {A} | fact1: åªããšããããšã¯åãçµã¶ããšã®ãã£ãããšãªã fact2: 圢æãæããšããããšãçãã fact3: èšãèš³ããŸãããšããããšã¯çããªããšããã圢æãæããšããããšãçããããããåªããšããããšãçºçãã fact4: ãèšãèš³ããŸãããšããããšã¯çããªãããšããããšã¯åªããšããããšããã³åœ¢æãæããšããããšãçããã«ç¹ãã fact5: ãã¿ã«ãã¿ãLv.61äºä»¶ã¯èµ·ããªããŠãŸã«ãŸãLv.34äºä»¶ã¯çºçããªãããšããããšã¯æ£ãããªããªãã°åªããšããããšã¯çããªã fact6: ããä»®ã«ããã«ããLv.66äºä»¶ãèµ·ããªãããã®äžã·ã¡ã
ã·ã¡ãLv.40äºä»¶ã¯çºçããªãããšããããšã¯ééã£ãŠãããšããã°èšãèš³ããŸãããšããããšã¯èµ·ãããªã fact7: ããä»®ã«ãã¿ãã¿ãLv.40äºä»¶ã¯çºçããªããŠåŒ±ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªããšãããšã¿ã¡ã
ã¿ãLv.44äºä»¶ã¯èµ·ãããªã fact8: ããã¿ã«ãã¿ãLv.61äºä»¶ãçºçããªããŠããããŸã«ãŸãLv.34äºä»¶ã¯çããªããšãããšåœ¢æãæããšããããšã¯èµ·ããªã | fact1: {A} -> {GA} fact2: {B} fact3: ¬{C} -> ({B} & {A}) fact4: ¬{C} -> ({A} & {B}) fact5: ¬(¬{AA} & ¬{AB}) -> ¬{A} fact6: ¬(¬{D} & ¬{E}) -> ¬{C} fact7: ¬(¬{CM} & ¬{H}) -> ¬{HS} fact8: (¬{AA} & ¬{AB}) -> ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ãã¿ãLv.61äºä»¶ãçããªããŠæŽã«ãŸã«ãŸãLv.34äºä»¶ã¯èµ·ãããªã; fact8 & assump1 -> int1: ã圢æãæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã¿ã«ãã¿ãLv.61äºä»¶ãèµ·ããªããŠããã«ãŸã«ãŸãLv.34äºä»¶ã¯èµ·ããªãããšããããšã¯ééãã§ãã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: (¬{AA} & ¬{AB}); fact8 & assump1 -> int1: ¬{B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & ¬{AB}); int3 & fact5 -> hypothesis;"
] | åªããšããããšãçºçãã | {A} | [] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: åªããšããããšã¯åãçµã¶ããšã®ãã£ãããšãªã fact2: 圢æãæããšããããšãçãã fact3: èšãèš³ããŸãããšããããšã¯çããªããšããã圢æãæããšããããšãçããããããåªããšããããšãçºçãã fact4: ãèšãèš³ããŸãããšããããšã¯çããªãããšããããšã¯åªããšããããšããã³åœ¢æãæããšããããšãçããã«ç¹ãã fact5: ãã¿ã«ãã¿ãLv.61äºä»¶ã¯èµ·ããªããŠãŸã«ãŸãLv.34äºä»¶ã¯çºçããªãããšããããšã¯æ£ãããªããªãã°åªããšããããšã¯çããªã fact6: ããä»®ã«ããã«ããLv.66äºä»¶ãèµ·ããªãããã®äžã·ã¡ã
ã·ã¡ãLv.40äºä»¶ã¯çºçããªãããšããããšã¯ééã£ãŠãããšããã°èšãèš³ããŸãããšããããšã¯èµ·ãããªã fact7: ããä»®ã«ãã¿ãã¿ãLv.40äºä»¶ã¯çºçããªããŠåŒ±ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªããšãããšã¿ã¡ã
ã¿ãLv.44äºä»¶ã¯èµ·ãããªã fact8: ããã¿ã«ãã¿ãLv.61äºä»¶ãçºçããªããŠããããŸã«ãŸãLv.34äºä»¶ã¯çããªããšãããšåœ¢æãæããšããããšã¯èµ·ããªã ; $hypothesis$ = åªããšããããšãçºçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ã«ãã¿ãLv.61äºä»¶ãçããªããŠæŽã«ãŸã«ãŸãLv.34äºä»¶ã¯èµ·ãããªã; fact8 & assump1 -> int1: ã圢æãæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã¿ã«ãã¿ãLv.61äºä»¶ãèµ·ããªããŠããã«ãŸã«ãŸãLv.34äºä»¶ã¯èµ·ããªãããšããããšã¯ééãã§ãã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {GA} fact2: {B} fact3: ¬{C} -> ({B} & {A}) fact4: ¬{C} -> ({A} & {B}) fact5: ¬(¬{AA} & ¬{AB}) -> ¬{A} fact6: ¬(¬{D} & ¬{E}) -> ¬{C} fact7: ¬(¬{CM} & ¬{H}) -> ¬{HS} fact8: (¬{AA} & ¬{AB}) -> ¬{B} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: (¬{AA} & ¬{AB}); fact8 & assump1 -> int1: ¬{B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & ¬{AB}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | è¶è²ããšããããšã¯èµ·ããªã | ¬{A} | fact1: ãèŠåºã ãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ fact2: ããè¶è²ããšããããšãšãã£ãããšããããšäž¡æ¹ãšããçãããšããããœããœãLv.0äºä»¶ã¯èµ·ãããªã fact3: ãœããœãLv.0äºä»¶ãèµ·ãã fact4: ãã£ãããšããããšã¯èµ·ãããªããªãã°æããé£ããšããããšããã³è¶è²ããšããããšãçãã | fact1: ¬{CI} fact2: ({A} & {B}) -> ¬{C} fact3: {C} fact4: ¬{B} -> ({BN} & {A}) | [] | [] | æããé£ããšããããšãçãã | {BN} | [] | 6 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãèŠåºã ãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ fact2: ããè¶è²ããšããããšãšãã£ãããšããããšäž¡æ¹ãšããçãããšããããœããœãLv.0äºä»¶ã¯èµ·ãããªã fact3: ãœããœãLv.0äºä»¶ãèµ·ãã fact4: ãã£ãããšããããšã¯èµ·ãããªããªãã°æããé£ããšããããšããã³è¶è²ããšããããšãçãã ; $hypothesis$ = è¶è²ããšããããšã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{CI} fact2: ({A} & {B}) -> ¬{C} fact3: {C} fact4: ¬{B} -> ({BN} & {A}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã®ã¿ãLv.33ã¯åããèŸã | {E}{c} | fact1: ãã®ãœã¡ã
ãœã¡ãLv.3ã¯æ°å¿ãã fact2: ãã®ãœã«ãœãLv.44ã¯æ¥ããã fact3: ããããã®ãœã«ãœãLv.44ã¯èª¿åãé£ããšããããšã¯ãªããªãããã®ã¿ã«ã
ã¿ãLv.78ã¯æé€ãæããå ããŠèª¿åãé£ãããšããããšã¯æãç«ããªã fact4: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ°å¿ãããªãåããæããªãããšããããšã¯çå®ã§ãã fact5: ããã®ãœã«ãœãLv.44ã¯æ¥ããããªãããšããããšã¯æ£ãããšããããã®ãœã¡ã
ãœã¡ãLv.3ã¯ååã fact6: ããã®ã¿ã«ã
ã¿ãLv.78ã¯æé€ãæããŠããã«èª¿åãé£ãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšãã®ã¿ã®ã¿ãLv.33ã¯åããèŸããªã fact7: ãã®ãœã«ãœãLv.44ã¯åäžåº§ãããšããããšã¯ãªã fact8: ããä»®ã«ãã®ãœã«ãœãLv.44ãåäžåº§ããªãããã©æ°å¿ãããšããããã®ãœã«ãœãLv.44ã¯èª¿åãé£ããªã fact9: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.78ãæé€ãæããªããªããã®ã¿ã®ã¿ãLv.33ã¯åããèŸããªã | fact1: {B}{af} fact2: {A}{a} fact3: ¬{D}{a} -> ¬({F}{b} & {D}{b}) fact4: (x): {B}x -> ¬{EL}x fact5: ¬{A}{a} -> {IO}{af} fact6: ¬({F}{b} & {D}{b}) -> ¬{E}{c} fact7: ¬{C}{a} fact8: (¬{C}{a} & {B}{a}) -> ¬{D}{a} fact9: ¬{F}{b} -> ¬{E}{c} | [] | [] | ãã®ãœã¡ã
ãœã¡ãLv.3ã¯åããæããªãäžæ¹ã§ååã | (¬{EL}{af} & {IO}{af}) | [
"fact10 -> int1: ãã®ãœã¡ã
ãœã¡ãLv.3ãæ°å¿ãããšãããåããæããªã; int1 & fact11 -> int2: ãã®ãœã¡ã
ãœã¡ãLv.3ã¯åããæããªã;"
] | 5 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœã¡ã
ãœã¡ãLv.3ã¯æ°å¿ãã fact2: ãã®ãœã«ãœãLv.44ã¯æ¥ããã fact3: ããããã®ãœã«ãœãLv.44ã¯èª¿åãé£ããšããããšã¯ãªããªãããã®ã¿ã«ã
ã¿ãLv.78ã¯æé€ãæããå ããŠèª¿åãé£ãããšããããšã¯æãç«ããªã fact4: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæ°å¿ãããªãåããæããªãããšããããšã¯çå®ã§ãã fact5: ããã®ãœã«ãœãLv.44ã¯æ¥ããããªãããšããããšã¯æ£ãããšããããã®ãœã¡ã
ãœã¡ãLv.3ã¯ååã fact6: ããã®ã¿ã«ã
ã¿ãLv.78ã¯æé€ãæããŠããã«èª¿åãé£ãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšãã®ã¿ã®ã¿ãLv.33ã¯åããèŸããªã fact7: ãã®ãœã«ãœãLv.44ã¯åäžåº§ãããšããããšã¯ãªã fact8: ããä»®ã«ãã®ãœã«ãœãLv.44ãåäžåº§ããªãããã©æ°å¿ãããšããããã®ãœã«ãœãLv.44ã¯èª¿åãé£ããªã fact9: ããä»®ã«ãã®ã¿ã«ã
ã¿ãLv.78ãæé€ãæããªããªããã®ã¿ã®ã¿ãLv.33ã¯åããèŸããªã ; $hypothesis$ = ãã®ã¿ã®ã¿ãLv.33ã¯åããèŸã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{af} fact2: {A}{a} fact3: ¬{D}{a} -> ¬({F}{b} & {D}{b}) fact4: (x): {B}x -> ¬{EL}x fact5: ¬{A}{a} -> {IO}{af} fact6: ¬({F}{b} & {D}{b}) -> ¬{E}{c} fact7: ¬{C}{a} fact8: (¬{C}{a} & {B}{a}) -> ¬{D}{a} fact9: ¬{F}{b} -> ¬{E}{c} ; $hypothesis$ = {E}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœã¡ã
ãœã«ãLv.46ã¯ããšãããããããã¯æ
ææ·±ãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªã | ¬({E}{b} v {D}{b}) | fact1: ãã®ãããã¡ã
Lv.62ã¯ã¿ã£ãšããªããŠããŸãã«ããã¯ãã€ãã£ãããã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åäœçšããªããšããã°ããããšãããããããã¯æ
ææ·±ãããšããããšã¯æãç«ã€ããšããããšã¯åœã§ãã fact3: ãã®ãããã¡ã
Lv.62ã¯åäœçšãã fact4: ããä»®ã«ãã®ãœã¡ã
ãœã«ãLv.46ãé»ããªããšãããããã¯ããšããããããã¯æ
ææ·±ã fact5: ããä»®ã«ãã®ãããã¡ã
Lv.62ãåäœçšãããããã«ãããã¿ã£ãšããªããšããã°ãã®ãœã¡ã
ãœã«ãLv.46ã¯é»ããšããããšã¯ãªã fact6: ãã®ãœã¡ã
ãœã«ãLv.46ãåäœçšãããšããããšã¯ãªãããããé»ããšããããã®ãããã¡ã
Lv.62ã¯é»ã fact7: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã¿ã£ãšããªããªããã©é»ãããšããããšã¯æãç«ã€ãšãããšããã¯åäœçšããªã fact8: ãã€ãã£ãããããªãã¢ã³ã¹ã¿ãŒã¯ã¿ã£ãšããªããªãããããé»ã fact9: ããããã®ãœã¡ã
ãœã«ãLv.46ã¯éãé£ããªãããããé«ãããšããããšã¯äºå®ãšç°ãªããšããããã€ãã£ãããããšããããšã¯ãªã | fact1: ({B}{a} & {F}{a}) fact2: (x): ¬{A}x -> ¬({E}x v {D}x) fact3: {A}{a} fact4: ¬{C}{b} -> ({E}{b} v {D}{b}) fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: (¬{A}{b} & {C}{b}) -> {C}{a} fact7: (x): (¬{B}x & {C}x) -> ¬{A}x fact8: (x): ¬{F}x -> (¬{B}x & {C}x) fact9: ¬(¬{H}{b} & {G}{b}) -> ¬{F}{b} | [
"fact1 -> int1: ãã®ãããã¡ã
Lv.62ã¯ã¿ã£ãšããªã; fact3 & int1 -> int2: ãã®ãããã¡ã
Lv.62ã¯åäœçšãããã¿ã£ãšããªã; int2 & fact5 -> int3: ãã®ãœã¡ã
ãœã«ãLv.46ã¯é»ããªã; int3 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; fact3 & int1 -> int2: ({A}{a} & {B}{a}); int2 & fact5 -> int3: ¬{C}{b}; int3 & fact4 -> hypothesis;"
] | ãã®ãããã¡ã
Lv.62ã¯é»ã | {C}{a} | [] | 6 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãããã¡ã
Lv.62ã¯ã¿ã£ãšããªããŠããŸãã«ããã¯ãã€ãã£ãããã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åäœçšããªããšããã°ããããšãããããããã¯æ
ææ·±ãããšããããšã¯æãç«ã€ããšããããšã¯åœã§ãã fact3: ãã®ãããã¡ã
Lv.62ã¯åäœçšãã fact4: ããä»®ã«ãã®ãœã¡ã
ãœã«ãLv.46ãé»ããªããšãããããã¯ããšããããããã¯æ
ææ·±ã fact5: ããä»®ã«ãã®ãããã¡ã
Lv.62ãåäœçšãããããã«ãããã¿ã£ãšããªããšããã°ãã®ãœã¡ã
ãœã«ãLv.46ã¯é»ããšããããšã¯ãªã fact6: ãã®ãœã¡ã
ãœã«ãLv.46ãåäœçšãããšããããšã¯ãªãããããé»ããšããããã®ãããã¡ã
Lv.62ã¯é»ã fact7: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã¿ã£ãšããªããªããã©é»ãããšããããšã¯æãç«ã€ãšãããšããã¯åäœçšããªã fact8: ãã€ãã£ãããããªãã¢ã³ã¹ã¿ãŒã¯ã¿ã£ãšããªããªãããããé»ã fact9: ããããã®ãœã¡ã
ãœã«ãLv.46ã¯éãé£ããªãããããé«ãããšããããšã¯äºå®ãšç°ãªããšããããã€ãã£ãããããšããããšã¯ãªã ; $hypothesis$ = ããã®ãœã¡ã
ãœã«ãLv.46ã¯ããšãããããããã¯æ
ææ·±ãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ãããã¡ã
Lv.62ã¯ã¿ã£ãšããªã; fact3 & int1 -> int2: ãã®ãããã¡ã
Lv.62ã¯åäœçšãããã¿ã£ãšããªã; int2 & fact5 -> int3: ãã®ãœã¡ã
ãœã«ãLv.46ã¯é»ããªã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B}{a} & {F}{a}) fact2: (x): ¬{A}x -> ¬({E}x v {D}x) fact3: {A}{a} fact4: ¬{C}{b} -> ({E}{b} v {D}{b}) fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: (¬{A}{b} & {C}{b}) -> {C}{a} fact7: (x): (¬{B}x & {C}x) -> ¬{A}x fact8: (x): ¬{F}x -> (¬{B}x & {C}x) fact9: ¬(¬{H}{b} & {G}{b}) -> ¬{F}{b} ; $hypothesis$ = ¬({E}{b} v {D}{b}) ; $proof$ = | fact1 -> int1: {B}{a}; fact3 & int1 -> int2: ({A}{a} & {B}{a}); int2 & fact5 -> int3: ¬{C}{b}; int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã·ãã·ã¡ãLv.73äºä»¶ããããã¯ãã«ãããªLv.9äºä»¶ããããã¯ã©ã¡ãããçããããšããããšã¯ééã£ãŠãã | ¬({D} v {E}) | fact1: ããœããœãLv.56äºä»¶ãèµ·ãããåéããããšãèµ·ããããšããããšã¯çå®ã§ãã fact2: ä»®ã«ãœããœãLv.56äºä»¶ã¯çããªããšããããã·ãã·ã¡ãLv.73äºä»¶ããããã¯ãã«ãããªLv.9äºä»¶ããããã¯äž¡æ¹ãçããããšããããšã¯ééãã fact3: ã·ãã·ãLv.45äºä»¶ã¯ããœããœãLv.56äºä»¶ã¯èµ·ããªãäžæ¹ã§åéããããšãèµ·ããããšããããšãæã fact4: ãœããœãLv.56äºä»¶ããããã¯ãã·ãã·ãLv.45äºä»¶ã¯çºçããªãããšããããšãã©ã¡ããã¯ãã·ãã·ã¡ãLv.73äºä»¶ã¯çããªãããšããããšãé»æ¢ãã | fact1: ({A} & {B}) fact2: ¬{A} -> ¬({D} v {E}) fact3: {C} -> (¬{A} & {B}) fact4: ({A} v ¬{C}) -> {D} | [
"fact1 -> int1: ãœããœãLv.56äºä»¶ãçºçãã; int1 -> int2: ãœããœãLv.56äºä»¶ã¯çºçããããŸãã¯ã·ãã·ãLv.45äºä»¶ã¯çºçããªãããŸãã¯äž¡æ¹ãšãã§ãã; int2 & fact4 -> int3: ã·ãã·ã¡ãLv.73äºä»¶ãçãã; int3 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 -> int2: ({A} v ¬{C}); int2 & fact4 -> int3: {D}; int3 -> hypothesis;"
] | ãã·ãã·ã¡ãLv.73äºä»¶ããããã¯ãã«ãããªLv.9äºä»¶ããããã¯ã©ã¡ãããçããããšããããšã¯ééã£ãŠãã | ¬({D} v {E}) | [] | 7 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããœããœãLv.56äºä»¶ãèµ·ãããåéããããšãèµ·ããããšããããšã¯çå®ã§ãã fact2: ä»®ã«ãœããœãLv.56äºä»¶ã¯çããªããšããããã·ãã·ã¡ãLv.73äºä»¶ããããã¯ãã«ãããªLv.9äºä»¶ããããã¯äž¡æ¹ãçããããšããããšã¯ééãã fact3: ã·ãã·ãLv.45äºä»¶ã¯ããœããœãLv.56äºä»¶ã¯èµ·ããªãäžæ¹ã§åéããããšãèµ·ããããšããããšãæã fact4: ãœããœãLv.56äºä»¶ããããã¯ãã·ãã·ãLv.45äºä»¶ã¯çºçããªãããšããããšãã©ã¡ããã¯ãã·ãã·ã¡ãLv.73äºä»¶ã¯çããªãããšããããšãé»æ¢ãã ; $hypothesis$ = ãã·ãã·ã¡ãLv.73äºä»¶ããããã¯ãã«ãããªLv.9äºä»¶ããããã¯ã©ã¡ãããçããããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 -> int1: ãœããœãLv.56äºä»¶ãçºçãã; int1 -> int2: ãœããœãLv.56äºä»¶ã¯çºçããããŸãã¯ã·ãã·ãLv.45äºä»¶ã¯çºçããªãããŸãã¯äž¡æ¹ãšãã§ãã; int2 & fact4 -> int3: ã·ãã·ã¡ãLv.73äºä»¶ãçãã; int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{A} -> ¬({D} v {E}) fact3: {C} -> (¬{A} & {B}) fact4: ({A} v ¬{C}) -> {D} ; $hypothesis$ = ¬({D} v {E}) ; $proof$ = | fact1 -> int1: {A}; int1 -> int2: ({A} v ¬{C}); int2 & fact4 -> int3: {D}; int3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.77ã¯æ¢±å
ãã | {A}{a} | fact1: ããä»®ã«ãã®ãŽããŽãLv.77ã梱å
ããã°ãã®ãŸããŸãLv.88ã¯åŒè§£ããŸãã fact2: ãã®ãŸããŸãLv.88ã¯åŒè§£ããŸãããªã fact3: ããã®ãŽããŽãLv.77ã¯åŒè§£ããŸããããšããããšã¯çå®ã§ãã | fact1: {A}{a} -> {B}{b} fact2: ¬{B}{b} fact3: {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.77ã¯æ¢±å
ãã; fact1 & assump1 -> int1: ãã®ãŸããŸãLv.88ã¯åŒè§£ããŸãã; 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;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.77ã梱å
ããã°ãã®ãŸããŸãLv.88ã¯åŒè§£ããŸãã fact2: ãã®ãŸããŸãLv.88ã¯åŒè§£ããŸãããªã fact3: ããã®ãŽããŽãLv.77ã¯åŒè§£ããŸããããšããããšã¯çå®ã§ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.77ã¯æ¢±å
ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽããŽãLv.77ã¯æ¢±å
ãã; fact1 & assump1 -> int1: ãã®ãŸããŸãLv.88ã¯åŒè§£ããŸãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: ¬{B}{b} fact3: {B}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœã®ãœãLv.82ã¯å£ç
©ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã | ¬{E}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ãããããªããŠè»¢èº«ããªã fact2: ããã®ãŽã¡ããŽãLv.67ã¯æµ
ãããšããããšã¯ç¢ºãã§ãã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯å³ã
ãããªããªãã°ããããããªãã転身ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããä»®ã«ãã®ãŽã¡ããŽãLv.67ããããããªããŠããŸãã«è»¢èº«ããªããšãããšãã®ãŽã¡ããŽãLv.67ã¯å³ã
ãã fact5: ãããããã®ãœã®ãœãLv.82ã¯ãããããªãããšããããšã¯äºå®ã ãšããããã®ãŽã¡ããŽãLv.67ã¯è£
食ããªããŠããã¯ããã¡ããªã fact6: ããããšããã¢ã³ã¹ã¿ãŒã¯å£ç
©ãäžæ¹ã§è»¢èº«ããªãããšããããšã¯æãç«ããªããšãããšå£ç
©ããªã fact7: ãã®ãŽã¡ããŽãLv.67ã¯è»¢èº«ããªã fact8: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å³ã
ãããããã«æµ
ããšããã°ããã®ãœã®ãœãLv.82ã¯å£ç
©ãããšããããšã¯æ¬åœã fact9: ããä»®ã«ãã®ãŽããŽã«ãLv.1ãå£ç
©ããªãããããå¯ã蟺ç¡ããšããããã®ãŽããŽã«ãLv.1ã¯åå ãæã | fact1: (x): (¬{A}x & ¬{B}x) fact2: {D}{aa} fact3: (x): ¬{C}x -> ¬(¬{A}x & {B}x) fact4: (¬{A}{aa} & ¬{B}{aa}) -> {C}{aa} fact5: ¬{A}{a} -> (¬{HG}{aa} & ¬{BB}{aa}) fact6: (x): ¬({E}x & ¬{B}x) -> ¬{E}x fact7: ¬{B}{aa} fact8: (x): ({C}x & {D}x) -> {E}{a} fact9: (¬{E}{iu} & {IP}{iu}) -> {IB}{iu} | [
"fact1 -> int1: ãã®ãŽã¡ããŽãLv.67ã¯ãããããªããŠãã€ããã¯è»¢èº«ããªã; int1 & fact4 -> int2: ãã®ãŽã¡ããŽãLv.67ã¯å³ã
ãã; int2 & fact2 -> int3: ãã®ãŽã¡ããŽãLv.67ã¯å³ã
ãããŠæŽã«æµ
ã; int3 -> int4: ããå³ã
ãããŠãã€æµ
ãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact8 -> hypothesis;"
] | [
"fact1 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 & fact4 -> int2: {C}{aa}; int2 & fact2 -> int3: ({C}{aa} & {D}{aa}); int3 -> int4: (Ex): ({C}x & {D}x); int4 & fact8 -> hypothesis;"
] | ããã®ãœã®ãœãLv.82ã¯å£ç
©ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã | ¬{E}{a} | [
"fact10 -> int5: ããã®ãœã®ãœãLv.82ã¯å£ç
©ããã©è»¢èº«ããªãããšããããšã¯åã ãšãããå£ç
©ããšããããšã¯ãªã;"
] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ãããããªããŠè»¢èº«ããªã fact2: ããã®ãŽã¡ããŽãLv.67ã¯æµ
ãããšããããšã¯ç¢ºãã§ãã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯å³ã
ãããªããªãã°ããããããªãã転身ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããä»®ã«ãã®ãŽã¡ããŽãLv.67ããããããªããŠããŸãã«è»¢èº«ããªããšãããšãã®ãŽã¡ããŽãLv.67ã¯å³ã
ãã fact5: ãããããã®ãœã®ãœãLv.82ã¯ãããããªãããšããããšã¯äºå®ã ãšããããã®ãŽã¡ããŽãLv.67ã¯è£
食ããªããŠããã¯ããã¡ããªã fact6: ããããšããã¢ã³ã¹ã¿ãŒã¯å£ç
©ãäžæ¹ã§è»¢èº«ããªãããšããããšã¯æãç«ããªããšãããšå£ç
©ããªã fact7: ãã®ãŽã¡ããŽãLv.67ã¯è»¢èº«ããªã fact8: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯å³ã
ãããããã«æµ
ããšããã°ããã®ãœã®ãœãLv.82ã¯å£ç
©ãããšããããšã¯æ¬åœã fact9: ããä»®ã«ãã®ãŽããŽã«ãLv.1ãå£ç
©ããªãããããå¯ã蟺ç¡ããšããããã®ãŽããŽã«ãLv.1ã¯åå ãæã ; $hypothesis$ = ããã®ãœã®ãœãLv.82ã¯å£ç
©ããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã ; $proof$ = | fact1 -> int1: ãã®ãŽã¡ããŽãLv.67ã¯ãããããªããŠãã€ããã¯è»¢èº«ããªã; int1 & fact4 -> int2: ãã®ãŽã¡ããŽãLv.67ã¯å³ã
ãã; int2 & fact2 -> int3: ãã®ãŽã¡ããŽãLv.67ã¯å³ã
ãããŠæŽã«æµ
ã; int3 -> int4: ããå³ã
ãããŠãã€æµ
ãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): (¬{A}x & ¬{B}x) fact2: {D}{aa} fact3: (x): ¬{C}x -> ¬(¬{A}x & {B}x) fact4: (¬{A}{aa} & ¬{B}{aa}) -> {C}{aa} fact5: ¬{A}{a} -> (¬{HG}{aa} & ¬{BB}{aa}) fact6: (x): ¬({E}x & ¬{B}x) -> ¬{E}x fact7: ¬{B}{aa} fact8: (x): ({C}x & {D}x) -> {E}{a} fact9: (¬{E}{iu} & {IP}{iu}) -> {IB}{iu} ; $hypothesis$ = ¬{E}{a} ; $proof$ = | fact1 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 & fact4 -> int2: {C}{aa}; int2 & fact2 -> int3: ({C}{aa} & {D}{aa}); int3 -> int4: (Ex): ({C}x & {D}x); int4 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãã·ãLv.56ã¯æãããã®äžçŽ æ©ãããšããããšã¯èª€ãã | ¬({B}{b} & {D}{b}) | fact1: ããä»®ã«ããã®ãŸããŸã«ãLv.40ã¯æããæããå ããŠããã¯èŠéããããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ã·ã«ãã·ã«Lv.3ã¯ç®æ°ãããªã fact2: ç®æ°ãããªãã¢ã³ã¹ã¿ãŒã¯åãå
¥ãé£ããã©äœæäœæãããªã fact3: ä»®ã«ãã®ã·ã«ãã·ã«Lv.3ã¯ç®æ°ãããªããšããã°ããã®ã·ãã·ãLv.56ã¯æããŠããã«çŽ æ©ãããšããããšã¯åã§ãã fact4: ãã®ã·ãã·ãLv.56ã¯çŽ æ©ã fact5: ä»®ã«ãã®ãã«ã
ããLv.89ãåãå
¥ãé£ããäœæäœæãããªããªããã®ã·ã«ãã·ã«Lv.3ã¯æããªã fact6: ãã®ãã«ã
ããLv.89ã¯ç®æ°ãããªã | fact1: ¬({C}{c} & {E}{c}) -> ¬{A}{a} fact2: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact3: ¬{A}{a} -> ¬({B}{b} & {D}{b}) fact4: {D}{b} fact5: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{a} fact6: ¬{A}{aa} | [
"fact2 -> int1: ãããã®ãã«ã
ããLv.89ãç®æ°ãããªããªããã®ãã«ã
ããLv.89ã¯åãå
¥ãé£ãããã©äœæäœæãããªã; int1 & fact6 -> int2: ãã®ãã«ã
ããLv.89ã¯åãå
¥ãé£ããã©äœæäœæãããªã; int2 & fact5 -> int3: ãã®ã·ã«ãã·ã«Lv.3ã¯æããªã;"
] | [
"fact2 -> int1: ¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact6 -> int2: ({AA}{aa} & ¬{AB}{aa}); int2 & fact5 -> int3: ¬{B}{a};"
] | ããã®ã·ãã·ãLv.56ã¯æãããã®äžçŽ æ©ãããšããããšã¯èª€ãã | ¬({B}{b} & {D}{b}) | [] | 5 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã®ãŸããŸã«ãLv.40ã¯æããæããå ããŠããã¯èŠéããããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ã·ã«ãã·ã«Lv.3ã¯ç®æ°ãããªã fact2: ç®æ°ãããªãã¢ã³ã¹ã¿ãŒã¯åãå
¥ãé£ããã©äœæäœæãããªã fact3: ä»®ã«ãã®ã·ã«ãã·ã«Lv.3ã¯ç®æ°ãããªããšããã°ããã®ã·ãã·ãLv.56ã¯æããŠããã«çŽ æ©ãããšããããšã¯åã§ãã fact4: ãã®ã·ãã·ãLv.56ã¯çŽ æ©ã fact5: ä»®ã«ãã®ãã«ã
ããLv.89ãåãå
¥ãé£ããäœæäœæãããªããªããã®ã·ã«ãã·ã«Lv.3ã¯æããªã fact6: ãã®ãã«ã
ããLv.89ã¯ç®æ°ãããªã ; $hypothesis$ = ããã®ã·ãã·ãLv.56ã¯æãããã®äžçŽ æ©ãããšããããšã¯èª€ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({C}{c} & {E}{c}) -> ¬{A}{a} fact2: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact3: ¬{A}{a} -> ¬({B}{b} & {D}{b}) fact4: {D}{b} fact5: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{a} fact6: ¬{A}{aa} ; $hypothesis$ = ¬({B}{b} & {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããæšããšããããšãèµ·ãããšããã°è±è©ããããšã¯çºçããªããŠéãç¡ããšããããšã¯çºçããªãããšããããšã¯åœã§ãã | ¬({A} -> (¬{C} & ¬{D})) | fact1: è±è©ããããšã¯æšããšããããšããŸãã¯ãŽãªãŽãLv.8äºä»¶ããããã¯äž¡æ¹ã«é»æ¢ããã fact2: ãŽãªãŽãLv.8äºä»¶ãçºçãã fact3: ç©çããããšããããšã¯èµ·ããªããšããããšã¯ãœã¡ããœãLv.21äºä»¶ããããã¯ããã蟌ãããšããŸãã¯äž¡æ¹ãšãã«èªçºããã fact4: 埡æ§ãç¡ããšããããšã¯çããªãããããçžå¿ãããšããããšã¯èµ·ãããªã fact5: ããè±è©ããããšãçããªããšããã°è±è©ããããšã¯èµ·ãããªãããã€éãç¡ããšããããšã¯çããªã | fact1: ({A} v {B}) -> ¬{C} fact2: {B} fact3: ({AS} v {JA}) -> ¬{Q} fact4: (¬{BJ} & ¬{E}) fact5: ¬{C} -> (¬{C} & ¬{D}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæšããšããããšãçãã; assump1 -> int1: ãæšããšããããšããããã¯ãŽãªãŽãLv.8äºä»¶ãèµ·ããããšããããšã¯äºå®ã ; int1 & fact1 -> int2: è±è©ããããšã¯èµ·ãããªã; int2 & fact5 -> int3: è±è©ããããšã¯çºçããªããéãç¡ããšããããšã¯çããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact5 -> int3: (¬{C} & ¬{D}); [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: è±è©ããããšã¯æšããšããããšããŸãã¯ãŽãªãŽãLv.8äºä»¶ããããã¯äž¡æ¹ã«é»æ¢ããã fact2: ãŽãªãŽãLv.8äºä»¶ãçºçãã fact3: ç©çããããšããããšã¯èµ·ããªããšããããšã¯ãœã¡ããœãLv.21äºä»¶ããããã¯ããã蟌ãããšããŸãã¯äž¡æ¹ãšãã«èªçºããã fact4: 埡æ§ãç¡ããšããããšã¯çããªãããããçžå¿ãããšããããšã¯èµ·ãããªã fact5: ããè±è©ããããšãçããªããšããã°è±è©ããããšã¯èµ·ãããªãããã€éãç¡ããšããããšã¯çããªã ; $hypothesis$ = ããããæšããšããããšãèµ·ãããšããã°è±è©ããããšã¯çºçããªããŠéãç¡ããšããããšã¯çºçããªãããšããããšã¯åœã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæšããšããããšãçãã; assump1 -> int1: ãæšããšããããšããããã¯ãŽãªãŽãLv.8äºä»¶ãèµ·ããããšããããšã¯äºå®ã ; int1 & fact1 -> int2: è±è©ããããšã¯èµ·ãããªã; int2 & fact5 -> int3: è±è©ããããšã¯çºçããªããéãç¡ããšããããšã¯çããªã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} v {B}) -> ¬{C} fact2: {B} fact3: ({AS} v {JA}) -> ¬{Q} fact4: (¬{BJ} & ¬{E}) fact5: ¬{C} -> (¬{C} & ¬{D}) ; $hypothesis$ = ¬({A} -> (¬{C} & ¬{D})) ; $proof$ = | void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact1 -> int2: ¬{C}; int2 & fact5 -> int3: (¬{C} & ¬{D}); [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããŽããŽã«ã
Lv.63äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ | {C} | fact1: ç¥ãåãããšã¯ãçŒãçŽãããšãèµ·ããããããã¯èµ·ããæããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã«é»ãŸãã fact2: ããŽããŽã«ã
Lv.63äºä»¶ã¯èµ·ããªãããšããããšã¯ãœããœãLv.75äºä»¶ããããã¯ã¿ã«ã
ã¿ã¡ãLv.58äºä»¶ãå¥æ©ã fact3: ãœããœãLv.75äºä»¶ãçºçãã | fact1: ({GC} v {DI}) -> ¬{FI} fact2: ({A} v {B}) -> ¬{C} fact3: {A} | [
"fact3 -> int1: ãœããœãLv.75äºä»¶ãèµ·ããããŸãã¯ã¿ã«ã
ã¿ã¡ãLv.58äºä»¶ãèµ·ããããŸãã¯äž¡æ¹ã§ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ç¥ãåãããšã¯ãçŒãçŽãããšãèµ·ããããããã¯èµ·ããæããšããããšãçããããããã¯ã©ã¡ããã ããšããããšã«é»ãŸãã fact2: ããŽããŽã«ã
Lv.63äºä»¶ã¯èµ·ããªãããšããããšã¯ãœããœãLv.75äºä»¶ããããã¯ã¿ã«ã
ã¿ã¡ãLv.58äºä»¶ãå¥æ©ã fact3: ãœããœãLv.75äºä»¶ãçºçãã ; $hypothesis$ = ããŽããŽã«ã
Lv.63äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ ; $proof$ = | fact3 -> int1: ãœããœãLv.75äºä»¶ãèµ·ããããŸãã¯ã¿ã«ã
ã¿ã¡ãLv.58äºä»¶ãèµ·ããããŸãã¯äž¡æ¹ã§ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({GC} v {DI}) -> ¬{FI} fact2: ({A} v {B}) -> ¬{C} fact3: {A} ; $hypothesis$ = {C} ; $proof$ = | fact3 -> int1: ({A} v {B}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãœããœã¡ãLv.57ã¯å€§äººãããšããããšã¯ãªãããšããããšã¯æãç«ã€ | ¬{B}{aa} | fact1: ãã®ãœããœã¡ãLv.57ã¯äžãæããããã¯äžžã£ãã fact2: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯äžžã£ãããªãã°ãããã¯æãä»ãããã©æ¥ãããããªãããšããããšã¯æãç«ã€ fact3: ããä»®ã«ãã®ãœããœã¡ãLv.57ãæãä»ããããã©ãããæ¥ãããããªããªãã°ãã®ãœããœã¡ãLv.57ã¯å€§äººãããªã fact4: ãã®ãœããœã¡ãLv.57ã¯æãä»ãã | fact1: ({C}{aa} & {A}{aa}) fact2: (x): {A}x -> ({AA}x & ¬{AB}x) fact3: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact4: {AA}{aa} | [
"fact2 -> int1: ããããã®ãœããœã¡ãLv.57ãäžžã£ãããšããããã®ãœããœã¡ãLv.57ã¯æãä»ããããããããã¯æ¥ãããããªã; fact1 -> int2: ãã®ãœããœã¡ãLv.57ã¯äžžã£ãã; int1 & int2 -> int3: ãã®ãœããœã¡ãLv.57ã¯æãä»ãããããã¯æ¥ãããããšããããšã¯ãªã; int3 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); fact1 -> int2: {A}{aa}; int1 & int2 -> int3: ({AA}{aa} & ¬{AB}{aa}); int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœããœã¡ãLv.57ã¯äžãæããããã¯äžžã£ãã fact2: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯äžžã£ãããªãã°ãããã¯æãä»ãããã©æ¥ãããããªãããšããããšã¯æãç«ã€ fact3: ããä»®ã«ãã®ãœããœã¡ãLv.57ãæãä»ããããã©ãããæ¥ãããããªããªãã°ãã®ãœããœã¡ãLv.57ã¯å€§äººãããªã fact4: ãã®ãœããœã¡ãLv.57ã¯æãä»ãã ; $hypothesis$ = ããã®ãœããœã¡ãLv.57ã¯å€§äººãããšããããšã¯ãªãããšããããšã¯æãç«ã€ ; $proof$ = | fact2 -> int1: ããããã®ãœããœã¡ãLv.57ãäžžã£ãããšããããã®ãœããœã¡ãLv.57ã¯æãä»ããããããããã¯æ¥ãããããªã; fact1 -> int2: ãã®ãœããœã¡ãLv.57ã¯äžžã£ãã; int1 & int2 -> int3: ãã®ãœããœã¡ãLv.57ã¯æãä»ãããããã¯æ¥ãããããšããããšã¯ãªã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({C}{aa} & {A}{aa}) fact2: (x): {A}x -> ({AA}x & ¬{AB}x) fact3: ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact4: {AA}{aa} ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact2 -> int1: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); fact1 -> int2: {A}{aa}; int1 & int2 -> int3: ({AA}{aa} & ¬{AB}{aa}); int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã«ã
ããLv.78äºä»¶ã¯èµ·ããªãããã©ãŽããŽã¡ãLv.9äºä»¶ãèµ·ãã | (¬{A} & {C}) | fact1: ãŽããŽã¡ãLv.9äºä»¶ãèµ·ãã fact2: å¶ãããšã¯çããªã fact3: å¶ãããšã¯ãã«ã
ããLv.78äºä»¶ã«ç±æ¥ãã | fact1: {C} fact2: ¬{B} fact3: {A} -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã«ã
ããLv.78äºä»¶ãçãã; fact3 & assump1 -> int1: å¶ãããšãèµ·ãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã«ã
ããLv.78äºä»¶ã¯èµ·ããªã; int3 & fact1 -> hypothesis;"
] | [
"void -> assump1: {A}; fact3 & assump1 -> int1: {B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact1 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãŽããŽã¡ãLv.9äºä»¶ãèµ·ãã fact2: å¶ãããšã¯çããªã fact3: å¶ãããšã¯ãã«ã
ããLv.78äºä»¶ã«ç±æ¥ãã ; $hypothesis$ = ãã«ã
ããLv.78äºä»¶ã¯èµ·ããªãããã©ãŽããŽã¡ãLv.9äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã«ã
ããLv.78äºä»¶ãçãã; fact3 & assump1 -> int1: å¶ãããšãèµ·ãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã«ã
ããLv.78äºä»¶ã¯èµ·ããªã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: ¬{B} fact3: {A} -> {B} ; $hypothesis$ = (¬{A} & {C}) ; $proof$ = | void -> assump1: {A}; fact3 & assump1 -> int1: {B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | çšé ããšããããšãèµ·ãã | {A} | fact1: ãããåãé¢ãé£ããšããããšã¯èµ·ããªããªããããã«ã
Lv.66äºä»¶ãçºçãããããã«ã·ãã·ã«Lv.82äºä»¶ãèµ·ãã fact2: ä»®ã«çšé ããšããããšã¯çºçããªããŠãããã«ã
Lv.66äºä»¶ã¯çºçããªããªãã°ãã·ãã·ã«Lv.82äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã fact3: ãããã«ã
Lv.66äºä»¶ã¯èµ·ãããªã | fact1: ¬{D} -> ({B} & {C}) fact2: (¬{A} & ¬{B}) -> ¬{C} fact3: ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããçšé ããšããããšã¯çºçããªã; assump1 & fact3 -> int1: çšé ããšããããšã¯èµ·ãããªããŠããã«ãããã«ã
Lv.66äºä»¶ã¯èµ·ããªã; int1 & fact2 -> int2: ã·ãã·ã«Lv.82äºä»¶ã¯çããªã;"
] | [
"void -> assump1: ¬{A}; assump1 & fact3 -> int1: (¬{A} & ¬{B}); int1 & fact2 -> int2: ¬{C};"
] | åãã£ãœããšããããšã¯çããªã | ¬{FO} | [] | 6 | 5 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããåãé¢ãé£ããšããããšã¯èµ·ããªããªããããã«ã
Lv.66äºä»¶ãçºçãããããã«ã·ãã·ã«Lv.82äºä»¶ãèµ·ãã fact2: ä»®ã«çšé ããšããããšã¯çºçããªããŠãããã«ã
Lv.66äºä»¶ã¯çºçããªããªãã°ãã·ãã·ã«Lv.82äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã fact3: ãããã«ã
Lv.66äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = çšé ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D} -> ({B} & {C}) fact2: (¬{A} & ¬{B}) -> ¬{C} fact3: ¬{B} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµãããããã¯å£ãæãããŸãã¯äž¡æ¹ãšãã§ãã | ({A}{a} v {B}{a}) | fact1: ããããã®ãŽã®ãŽã«ãLv.74ã¯ã£æ©ããªããšããããããã¯å£å§ãããªããŠãããããã¯åŸ¡èŠãã«æããªãããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ãŸããŸãLv.4ã¯å«ãããããããã¯ããã¯èŠæç¡ããäž¡æ¹ã§ãã fact3: ãã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªãããã®äžããã¯é»Žèããªã fact4: ä»®ã«ãã®ãœããœãLv.30ãã¶ãã¶ãããªãããã€å£ãæããªããšããããã®ãŽã®ãŽã«ãLv.74ã¯å£ãæããªã fact5: ããã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªãããã©é»Žèãããšããããšã¯æãç«ããªã fact6: ãã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµããªããšãããšããã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªããæŽã«é»Žèããšããããšã¯ãªãããšããããšã¯åã§ãã fact7: ä»®ã«ãã®ãœããœãLv.30ãã©ãé»ããªããšããã°ã¶ãã¶ãããªããŠå£ãæããªã | fact1: ¬{EL}{a} -> ¬(¬{GE}{a} & ¬{AO}{a}) fact2: ({IL}{bd} v {GM}{bd}) fact3: (¬{AA}{a} & ¬{AB}{a}) fact4: (¬{D}{b} & ¬{B}{b}) -> ¬{B}{a} fact5: ¬(¬{AA}{a} & {AB}{a}) fact6: ¬{A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact7: ¬{C}{b} -> (¬{D}{b} & ¬{B}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµããªã; fact6 & assump1 -> int1: ããã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªãããã®äžé»Žèããšããããšã¯ãªãããšããããšã¯åœã§ãã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµããããšããããšã¯æ¬åœã§ãã; int3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact6 & assump1 -> int1: ¬(¬{AA}{a} & ¬{AB}{a}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: {A}{a}; int3 -> hypothesis;"
] | ãã®ãŽã®ãŽã«ãLv.74ã¯äžãé£ãããããã¯é£ãã | ({BK}{a} v {BE}{a}) | [] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŽã®ãŽã«ãLv.74ã¯ã£æ©ããªããšããããããã¯å£å§ãããªããŠãããããã¯åŸ¡èŠãã«æããªãããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ãŸããŸãLv.4ã¯å«ãããããããã¯ããã¯èŠæç¡ããäž¡æ¹ã§ãã fact3: ãã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªãããã®äžããã¯é»Žèããªã fact4: ä»®ã«ãã®ãœããœãLv.30ãã¶ãã¶ãããªãããã€å£ãæããªããšããããã®ãŽã®ãŽã«ãLv.74ã¯å£ãæããªã fact5: ããã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªãããã©é»Žèãããšããããšã¯æãç«ããªã fact6: ãã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµããªããšãããšããã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªããæŽã«é»Žèããšããããšã¯ãªãããšããããšã¯åã§ãã fact7: ä»®ã«ãã®ãœããœãLv.30ãã©ãé»ããªããšããã°ã¶ãã¶ãããªããŠå£ãæããªã ; $hypothesis$ = ãã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµãããããã¯å£ãæãããŸãã¯äž¡æ¹ãšãã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµããªã; fact6 & assump1 -> int1: ããã®ãŽã®ãŽã«ãLv.74ã¯äººéã£ãœããªãããã®äžé»Žèããšããããšã¯ãªãããšããããšã¯åœã§ãã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãŽã®ãŽã«ãLv.74ã¯ç¥æµããããšããããšã¯æ¬åœã§ãã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{EL}{a} -> ¬(¬{GE}{a} & ¬{AO}{a}) fact2: ({IL}{bd} v {GM}{bd}) fact3: (¬{AA}{a} & ¬{AB}{a}) fact4: (¬{D}{b} & ¬{B}{b}) -> ¬{B}{a} fact5: ¬(¬{AA}{a} & {AB}{a}) fact6: ¬{A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact7: ¬{C}{b} -> (¬{D}{b} & ¬{B}{b}) ; $hypothesis$ = ({A}{a} v {B}{a}) ; $proof$ = | void -> assump1: ¬{A}{a}; fact6 & assump1 -> int1: ¬(¬{AA}{a} & ¬{AB}{a}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: {A}{a}; int3 -> hypothesis; __PROVED__ |
0.3 | äžæãæããšããããšã¯èµ·ãããªã | ¬{E} | fact1: ãçœã
ãããšããããšããŽã«ãŽã«ãLv.93äºä»¶ãã©ã¡ãããèµ·ããããšããããšã¯ããœã«ããœãLv.29äºä»¶ã¯çããªãããšããããšã«ãããããã fact2: å¿ãã£ãœããšããããšããŸãã¯ãŽã¡ããŽãLv.8äºä»¶ãèµ·ãã fact3: ãåããèŸããšããããšã¯èµ·ããªãããšããããšã¯ãã·ã«ã·ã¡ã
Lv.33äºä»¶ãèµ·ããããããã¯èš±ãé£ããšããããšãèµ·ããããšããããšã®ãã£ãããšãªã fact4: ç
§ãèããšããããšã¯ãç«Šã¿äžããããšã¯èµ·ããªãããšããããšãé»ã fact5: åããèŸããšããããšã¯çºçããªã fact6: ç
§ãèããšããããšã¯çºçããªããšããããšã¯èš±ãé£ããšããããšã«é»ãŸãã fact7: åµå±ããããšãèµ·ãã fact8: åããèŸããšããããšãèµ·ããããããã¯æãããšããããšãçããããŸãã¯äž¡æ¹ã fact9: ç
§ãèããšããããšã¯ã·ã«ã·ã¡ã
Lv.33äºä»¶ã«èµ·å ãã fact10: ç«Šã¿äžããããšãèµ·ãããšããããšã¯äžæãæããšããããšãé»ã | fact1: ¬{DM} -> ({EI} v {GJ}) fact2: ({FN} v {EH}) fact3: ¬{F} -> ({A} v {B}) fact4: {C} -> {D} fact5: ¬{F} fact6: {B} -> {C} fact7: {DP} fact8: ({F} v {G}) fact9: {A} -> {C} fact10: {D} -> ¬{E} | [
"fact3 & fact5 -> int1: ã·ã«ã·ã¡ã
Lv.33äºä»¶ãèµ·ããããããã¯èš±ãé£ããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãã; int1 & fact9 & fact6 -> int2: ç
§ãèããšããããšãçãã; int2 & fact4 -> int3: ç«Šã¿äžããããšãèµ·ãã; int3 & fact10 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: ({A} v {B}); int1 & fact9 & fact6 -> int2: {C}; int2 & fact4 -> int3: {D}; int3 & fact10 -> hypothesis;"
] | ã·ã«ãã·ãLv.24äºä»¶ããããã¯èãé£ããšããããšãèµ·ãã | ({AH} v {JD}) | [] | 6 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãçœã
ãããšããããšããŽã«ãŽã«ãLv.93äºä»¶ãã©ã¡ãããèµ·ããããšããããšã¯ããœã«ããœãLv.29äºä»¶ã¯çããªãããšããããšã«ãããããã fact2: å¿ãã£ãœããšããããšããŸãã¯ãŽã¡ããŽãLv.8äºä»¶ãèµ·ãã fact3: ãåããèŸããšããããšã¯èµ·ããªãããšããããšã¯ãã·ã«ã·ã¡ã
Lv.33äºä»¶ãèµ·ããããããã¯èš±ãé£ããšããããšãèµ·ããããšããããšã®ãã£ãããšãªã fact4: ç
§ãèããšããããšã¯ãç«Šã¿äžããããšã¯èµ·ããªãããšããããšãé»ã fact5: åããèŸããšããããšã¯çºçããªã fact6: ç
§ãèããšããããšã¯çºçããªããšããããšã¯èš±ãé£ããšããããšã«é»ãŸãã fact7: åµå±ããããšãèµ·ãã fact8: åããèŸããšããããšãèµ·ããããããã¯æãããšããããšãçããããŸãã¯äž¡æ¹ã fact9: ç
§ãèããšããããšã¯ã·ã«ã·ã¡ã
Lv.33äºä»¶ã«èµ·å ãã fact10: ç«Šã¿äžããããšãèµ·ãããšããããšã¯äžæãæããšããããšãé»ã ; $hypothesis$ = äžæãæããšããããšã¯èµ·ãããªã ; $proof$ = | fact3 & fact5 -> int1: ã·ã«ã·ã¡ã
Lv.33äºä»¶ãèµ·ããããããã¯èš±ãé£ããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãã; int1 & fact9 & fact6 -> int2: ç
§ãèããšããããšãçãã; int2 & fact4 -> int3: ç«Šã¿äžããããšãèµ·ãã; int3 & fact10 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{DM} -> ({EI} v {GJ}) fact2: ({FN} v {EH}) fact3: ¬{F} -> ({A} v {B}) fact4: {C} -> {D} fact5: ¬{F} fact6: {B} -> {C} fact7: {DP} fact8: ({F} v {G}) fact9: {A} -> {C} fact10: {D} -> ¬{E} ; $hypothesis$ = ¬{E} ; $proof$ = | fact3 & fact5 -> int1: ({A} v {B}); int1 & fact9 & fact6 -> int2: {C}; int2 & fact4 -> int3: {D}; int3 & fact10 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã®ãŽãLv.95ã¯ç€Œè³ãã | {G}{b} | fact1: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯èžãæããªããªããããã¯ç€Œè³ããããŸãå¡ãæãããšããããšã¯æãç«ã€ fact2: ãããããã®ãã¡ã
ããLv.14ã¯ç«ãŠé£ããªããŠããã¯çæ°ãããªãããšããããšã¯åã§ãããšããã°ãã®ãŽã®ãŽãLv.95ã¯æ³šæåºæ¥ã fact3: ä»®ã«ãã®ãŽã®ãŽãLv.95ã¯ç«ãŠé£ããªãããŸãã¯èžãæããªãããŸãã¯äž¡æ¹ãšãã§ãããšãããšããã®ãã¡ã
ããLv.14ã¯èžãæããªãããšããããšã¯æãç«ã€ fact4: ãã®ãã¡ã
ããLv.14ã¯å¡ãæããŠèžãæã fact5: ãããã®ãã¡ã
ããLv.14ã¯èžãæããšããããããã¯ç«ãŠé£ããšããããšã¯ãªããçæ°ãããªãããšããããšã¯ééã£ãŠãã fact6: ããä»®ã«ãã®ãŽã®ãŽãLv.95ã泚æåºæ¥ããªãç²åŽãæã fact7: ãã®ãŽã®ãŽãLv.95ã¯ç²åŽãæããšãããšã瀌è³ããããšããããšã¯çå®ã§ãã | fact1: (x): ¬{B}x -> ({G}x & {A}x) fact2: ¬(¬{D}{a} & ¬{C}{a}) -> {E}{b} fact3: (¬{D}{b} v ¬{B}{b}) -> ¬{B}{a} fact4: ({A}{a} & {B}{a}) fact5: {B}{a} -> ¬(¬{D}{a} & ¬{C}{a}) fact6: {E}{b} -> {F}{b} fact7: {F}{b} -> {G}{b} | [
"fact4 -> int1: ããã®ãã¡ã
ããLv.14ã¯èžãæãããšããããšã¯çå®ã§ãã; int1 & fact5 -> int2: ããã®ãã¡ã
ããLv.14ã¯ç«ãŠé£ããªããŠããã¯çæ°ãããªãããšããããšã¯èª€ãã§ãã; int2 & fact2 -> int3: ãã®ãŽã®ãŽãLv.95ã¯æ³šæåºæ¥ã; int3 & fact6 -> int4: ããã®ãŽã®ãŽãLv.95ã¯ç²åŽãæãããšããããšã¯çå®ã ; int4 & fact7 -> hypothesis;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact5 -> int2: ¬(¬{D}{a} & ¬{C}{a}); int2 & fact2 -> int3: {E}{b}; int3 & fact6 -> int4: {F}{b}; int4 & fact7 -> hypothesis;"
] | ãã®ãã¡ã
ããLv.14ã¯ç€Œè³ãã | {G}{a} | [
"fact8 -> int5: ããããã®ãã¡ã
ããLv.14ãèžãæããªããšãããšãã®ãã¡ã
ããLv.14ã¯ç€Œè³ãããããŸãã«å¡ãæã;"
] | 6 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯èžãæããªããªããããã¯ç€Œè³ããããŸãå¡ãæãããšããããšã¯æãç«ã€ fact2: ãããããã®ãã¡ã
ããLv.14ã¯ç«ãŠé£ããªããŠããã¯çæ°ãããªãããšããããšã¯åã§ãããšããã°ãã®ãŽã®ãŽãLv.95ã¯æ³šæåºæ¥ã fact3: ä»®ã«ãã®ãŽã®ãŽãLv.95ã¯ç«ãŠé£ããªãããŸãã¯èžãæããªãããŸãã¯äž¡æ¹ãšãã§ãããšãããšããã®ãã¡ã
ããLv.14ã¯èžãæããªãããšããããšã¯æãç«ã€ fact4: ãã®ãã¡ã
ããLv.14ã¯å¡ãæããŠèžãæã fact5: ãããã®ãã¡ã
ããLv.14ã¯èžãæããšããããããã¯ç«ãŠé£ããšããããšã¯ãªããçæ°ãããªãããšããããšã¯ééã£ãŠãã fact6: ããä»®ã«ãã®ãŽã®ãŽãLv.95ã泚æåºæ¥ããªãç²åŽãæã fact7: ãã®ãŽã®ãŽãLv.95ã¯ç²åŽãæããšãããšã瀌è³ããããšããããšã¯çå®ã§ãã ; $hypothesis$ = ãã®ãŽã®ãŽãLv.95ã¯ç€Œè³ãã ; $proof$ = | fact4 -> int1: ããã®ãã¡ã
ããLv.14ã¯èžãæãããšããããšã¯çå®ã§ãã; int1 & fact5 -> int2: ããã®ãã¡ã
ããLv.14ã¯ç«ãŠé£ããªããŠããã¯çæ°ãããªãããšããããšã¯èª€ãã§ãã; int2 & fact2 -> int3: ãã®ãŽã®ãŽãLv.95ã¯æ³šæåºæ¥ã; int3 & fact6 -> int4: ããã®ãŽã®ãŽãLv.95ã¯ç²åŽãæãããšããããšã¯çå®ã ; int4 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{B}x -> ({G}x & {A}x) fact2: ¬(¬{D}{a} & ¬{C}{a}) -> {E}{b} fact3: (¬{D}{b} v ¬{B}{b}) -> ¬{B}{a} fact4: ({A}{a} & {B}{a}) fact5: {B}{a} -> ¬(¬{D}{a} & ¬{C}{a}) fact6: {E}{b} -> {F}{b} fact7: {F}{b} -> {G}{b} ; $hypothesis$ = {G}{b} ; $proof$ = | fact4 -> int1: {B}{a}; int1 & fact5 -> int2: ¬(¬{D}{a} & ¬{C}{a}); int2 & fact2 -> int3: {E}{b}; int3 & fact6 -> int4: {F}{b}; int4 & fact7 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã«ããœã¡ãLv.94ã¯ãã€ç¡ã | {C}{c} | fact1: ãã®ãŽã«ããŽã«ãLv.29ã¯å€æãé£ããªã fact2: ãã®ã·ãã·ãLv.59ãå°è±¡æ·±ããªããã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªããããã¯ãã©ãã¹ããããªã fact3: ãã®ã·ãã·ãLv.59ã¯å°è±¡æ·±ããšããã°ããã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªãããšããããšã¯ç¢ºãã fact4: ãã®ã·ãã·ãLv.59ã¯ã²ããé·ã fact5: ãã®ãŽã«ããŽã«ãLv.29ãå€æãé£ããšããããšã¯ãªããšããããã®ã·ãã·ãLv.59ã¯ã²ããé·ããå°è±¡æ·±ã fact6: ãã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªã fact7: ä»®ã«ããã®ãŸããŸãLv.85ã¯å°è±¡æ·±ãäžæ¹ã§ãã©ãã¹ããããªãããšããããšã¯ç¢ºãã§ãããšããããã®ãœã«ããœã¡ãLv.94ã¯ãã€ç¡ã | fact1: ¬{E}{d} fact2: {B}{a} -> (¬{B}{b} & ¬{D}{b}) fact3: {B}{a} -> ¬{B}{b} fact4: {A}{a} fact5: ¬{E}{d} -> ({A}{a} & {B}{a}) fact6: ¬{B}{b} fact7: ({B}{b} & ¬{D}{b}) -> {C}{c} | [
"fact5 & fact1 -> int1: ãã®ã·ãã·ãLv.59ã¯ã²ããé·ãããã®äžå°è±¡æ·±ã; int1 -> int2: ãã®ã·ãã·ãLv.59ã¯å°è±¡æ·±ã; int2 & fact2 -> int3: ãã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªãããã®äžããã¯ãã©ãã¹ããããªã;"
] | [
"fact5 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact2 -> int3: (¬{B}{b} & ¬{D}{b});"
] | null | null | [] | null | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŽã«ããŽã«ãLv.29ã¯å€æãé£ããªã fact2: ãã®ã·ãã·ãLv.59ãå°è±¡æ·±ããªããã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªããããã¯ãã©ãã¹ããããªã fact3: ãã®ã·ãã·ãLv.59ã¯å°è±¡æ·±ããšããã°ããã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªãããšããããšã¯ç¢ºãã fact4: ãã®ã·ãã·ãLv.59ã¯ã²ããé·ã fact5: ãã®ãŽã«ããŽã«ãLv.29ãå€æãé£ããšããããšã¯ãªããšããããã®ã·ãã·ãLv.59ã¯ã²ããé·ããå°è±¡æ·±ã fact6: ãã®ãŸããŸãLv.85ã¯å°è±¡æ·±ããªã fact7: ä»®ã«ããã®ãŸããŸãLv.85ã¯å°è±¡æ·±ãäžæ¹ã§ãã©ãã¹ããããªãããšããããšã¯ç¢ºãã§ãããšããããã®ãœã«ããœã¡ãLv.94ã¯ãã€ç¡ã ; $hypothesis$ = ãã®ãœã«ããœã¡ãLv.94ã¯ãã€ç¡ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{E}{d} fact2: {B}{a} -> (¬{B}{b} & ¬{D}{b}) fact3: {B}{a} -> ¬{B}{b} fact4: {A}{a} fact5: ¬{E}{d} -> ({A}{a} & {B}{a}) fact6: ¬{B}{b} fact7: ({B}{b} & ¬{D}{b}) -> {C}{c} ; $hypothesis$ = {C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãªLv.5ã¯æŽ»çšãæã | {F}{a} | fact1: ããä»®ã«ããã®ã·ãã·ãªLv.5ã¯èŠå¢ç¡ãããšããããšã¯æ£ãããšããã°ã掻çšãæãããšããããšã¯æãç«ã€ fact2: ãã®ã·ãã·ãªLv.5ãèããªããã®ã·ãã·ãªLv.5ã¯èŠå¢ç¡ã fact3: ãã®ã·ãã·ãªLv.5ã¯éå®ãããªãããã©é¢ãã | fact1: {E}{a} -> {F}{a} fact2: {D}{a} -> {E}{a} fact3: (¬{A}{a} & {B}{a}) | [
"fact3 -> int1: ãã®ã·ãã·ãªLv.5ã¯éå®ãããªã;"
] | [
"fact3 -> int1: ¬{A}{a};"
] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ããã®ã·ãã·ãªLv.5ã¯èŠå¢ç¡ãããšããããšã¯æ£ãããšããã°ã掻çšãæãããšããããšã¯æãç«ã€ fact2: ãã®ã·ãã·ãªLv.5ãèããªããã®ã·ãã·ãªLv.5ã¯èŠå¢ç¡ã fact3: ãã®ã·ãã·ãªLv.5ã¯éå®ãããªãããã©é¢ãã ; $hypothesis$ = ãã®ã·ãã·ãªLv.5ã¯æŽ»çšãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E}{a} -> {F}{a} fact2: {D}{a} -> {E}{a} fact3: (¬{A}{a} & {B}{a}) ; $hypothesis$ = {F}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ããŸã«ã
Lv.67ã¯èç«ããã | {A}{c} | fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãçµå£æäžããªããªãã°ããã¯èç«ãããããããèŠçªããã fact2: ãã®ãœã«ããœãLv.75ãæ°æ ãããã©æãé£ããªããšãããšãã®ãŸã«ããŸã«ã
Lv.67ã¯èç«ããããšããããšã¯ãªã fact3: ããã®ãœã«ããœãLv.75ã¯æ°æ ããã©æãé£ããªãããšããããšã¯åã§ãããšãããããã®ãŽããŽãLv.62ã¯èŠçªããããªãããšããããšã¯çå®ã§ãã fact4: ãã®ãœã«ããœãLv.75ã¯èŠçªããããªã | fact1: (x): ¬{C}x -> ({A}x & {B}x) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{A}{c} fact3: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact4: ¬{B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãœã«ããœãLv.75ã¯æ°æ ãããããæãé£ããªãããšããããšã¯ééã£ãŠãã; fact3 & assump1 -> int1: ãã®ãŽããŽãLv.62ã¯èŠçªããããªã;"
] | [
"void -> assump1: ¬({AA}{a} & ¬{AB}{a}); fact3 & assump1 -> int1: ¬{B}{b};"
] | ãã®ãŸã«ããŸã«ã
Lv.67ã¯èç«ããã | {A}{c} | [
"fact5 -> int2: ãããã®ãŸã«ããŸã«ã
Lv.67ãçµå£æäžããªããšããã°ãã®ãŸã«ããŸã«ã
Lv.67ã¯èç«ãããã¢ã³ã¹ã¿ãŒã§ããã«èŠçªããã;"
] | 5 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãçµå£æäžããªããªãã°ããã¯èç«ãããããããèŠçªããã fact2: ãã®ãœã«ããœãLv.75ãæ°æ ãããã©æãé£ããªããšãããšãã®ãŸã«ããŸã«ã
Lv.67ã¯èç«ããããšããããšã¯ãªã fact3: ããã®ãœã«ããœãLv.75ã¯æ°æ ããã©æãé£ããªãããšããããšã¯åã§ãããšãããããã®ãŽããŽãLv.62ã¯èŠçªããããªãããšããããšã¯çå®ã§ãã fact4: ãã®ãœã«ããœãLv.75ã¯èŠçªããããªã ; $hypothesis$ = ãã®ãŸã«ããŸã«ã
Lv.67ã¯èç«ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> ({A}x & {B}x) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{A}{c} fact3: ¬({AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact4: ¬{B}{a} ; $hypothesis$ = {A}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ãã·ã®Lv.56ã¯æãæããæã¡é£ãããšããããšã¯æãç«ããªã | ¬({A}{a} & {B}{a}) | fact1: ãã®ã·ãã·ã®Lv.56ã¯æã¡é£ã fact2: ãã®ã·ãã·ã®Lv.56ã¯æãæã fact3: ãããã®ãœã«ã
ãœã«Lv.61ã¯æã¡é£ããšãããããã®ã·ãã·ã®Lv.56ã¯å±
æ®ãããããã¯ããã¯æãæããªãããŸãã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã | fact1: {B}{a} fact2: {A}{a} fact3: {B}{b} -> ¬({C}{a} v ¬{A}{a}) | [
"fact2 -> int1: ãã®ã·ãã·ã®Lv.56ã¯æãæã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ãLv.23ã¯æãæã | {A}{ei} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã®Lv.56ã¯æã¡é£ã fact2: ãã®ã·ãã·ã®Lv.56ã¯æãæã fact3: ãããã®ãœã«ã
ãœã«Lv.61ã¯æã¡é£ããšãããããã®ã·ãã·ã®Lv.56ã¯å±
æ®ãããããã¯ããã¯æãæããªãããŸãã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã ; $hypothesis$ = ããã®ã·ãã·ã®Lv.56ã¯æãæããæã¡é£ãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ãã®ã·ãã·ã®Lv.56ã¯æãæã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: {A}{a} fact3: {B}{b} -> ¬({C}{a} v ¬{A}{a}) ; $hypothesis$ = ¬({A}{a} & {B}{a}) ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ããããLv.22ã¯å
é¢åããããããå°æãããšããããšã¯æãç«ããªã | ¬({D}{b} & {E}{b}) | fact1: ä»®ã«ãã®ããããLv.22ã¯è»œã
ãããªãã°ãå
é¢åããããšããããšã¯ç¢ºãã fact2: ãä»®ã«ãã®ãŽã¡ããŽãLv.1ã¯çãããŸãããªããšããã°ããã®ããããLv.22ã¯åºãã責ãç¶ããªãããšããããšã¯ééãã§ããããšããããšã¯ç¢ºãã fact3: ãã®ããããLv.22ã¯å°æã fact4: ããããã®ããããLv.22ãçœã
ãããšããã°ããã¯è»œã
ãã fact5: ããã®ããããLv.22ã¯åºãäžæ¹ã§ããã¯è²¬ãç¶ãããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããªãçœã
ãã fact6: ãã®ãŽã¡ããŽãLv.1ã¯çãããŸãããªã | fact1: {C}{b} -> {D}{b} fact2: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact3: {E}{b} fact4: {B}{b} -> {C}{b} fact5: ¬({AA}{b} & ¬{AB}{b}) -> {B}{b} fact6: ¬{A}{a} | [
"fact2 & fact6 -> int1: ããã®ããããLv.22ã¯åºãã責ãç¶ããªãããšããããšã¯æãç«ããªã; int1 & fact5 -> int2: ãã®ããããLv.22ã¯çœã
ãã; int2 & fact4 -> int3: ãã®ããããLv.22ã¯è»œã
ãã; int3 & fact1 -> int4: ãã®ããããLv.22ã¯å
é¢åãã; int4 & fact3 -> hypothesis;"
] | [
"fact2 & fact6 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact5 -> int2: {B}{b}; int2 & fact4 -> int3: {C}{b}; int3 & fact1 -> int4: {D}{b}; int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ããããLv.22ã¯è»œã
ãããªãã°ãå
é¢åããããšããããšã¯ç¢ºãã fact2: ãä»®ã«ãã®ãŽã¡ããŽãLv.1ã¯çãããŸãããªããšããã°ããã®ããããLv.22ã¯åºãã責ãç¶ããªãããšããããšã¯ééãã§ããããšããããšã¯ç¢ºãã fact3: ãã®ããããLv.22ã¯å°æã fact4: ããããã®ããããLv.22ãçœã
ãããšããã°ããã¯è»œã
ãã fact5: ããã®ããããLv.22ã¯åºãäžæ¹ã§ããã¯è²¬ãç¶ãããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããªãçœã
ãã fact6: ãã®ãŽã¡ããŽãLv.1ã¯çãããŸãããªã ; $hypothesis$ = ããã®ããããLv.22ã¯å
é¢åããããããå°æãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 & fact6 -> int1: ããã®ããããLv.22ã¯åºãã責ãç¶ããªãããšããããšã¯æãç«ããªã; int1 & fact5 -> int2: ãã®ããããLv.22ã¯çœã
ãã; int2 & fact4 -> int3: ãã®ããããLv.22ã¯è»œã
ãã; int3 & fact1 -> int4: ãã®ããããLv.22ã¯å
é¢åãã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{b} -> {D}{b} fact2: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact3: {E}{b} fact4: {B}{b} -> {C}{b} fact5: ¬({AA}{b} & ¬{AB}{b}) -> {B}{b} fact6: ¬{A}{a} ; $hypothesis$ = ¬({D}{b} & {E}{b}) ; $proof$ = | fact2 & fact6 -> int1: ¬({AA}{b} & ¬{AB}{b}); int1 & fact5 -> int2: {B}{b}; int2 & fact4 -> int3: {C}{b}; int3 & fact1 -> int4: {D}{b}; int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããã¿ãã¿ã¡ã
Lv.19äºä»¶ãèµ·ãã | {B} | fact1: å€ããšããããšãçãã fact2: è³¢ããšããããšãçºçãã fact3: èå³æ·±ããšããããšã¯çããªã fact4: ããã®ããLv.17äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã fact5: å€ããšããããšã¯çºçããªããšããããšã¯è³¢ããšããããšããã³ã¿ãã¿ã¡ã
Lv.19äºä»¶ãçºçããã«ç±æ¥ãã | fact1: {C} fact2: {A} fact3: ¬{AS} fact4: ¬{CB} fact5: ({A} & {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ãã¿ã¡ã
Lv.19äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: è³¢ããšããããšããã³ã¿ãã¿ã¡ã
Lv.19äºä»¶ãçãã; int1 & fact5 -> int2: å€ããšããããšã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact2 & assump1 -> int1: ({A} & {B}); int1 & fact5 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: å€ããšããããšãçãã fact2: è³¢ããšããããšãçºçãã fact3: èå³æ·±ããšããããšã¯çããªã fact4: ããã®ããLv.17äºä»¶ã¯èµ·ãããªãããšããããšã¯æ¬åœã fact5: å€ããšããããšã¯çºçããªããšããããšã¯è³¢ããšããããšããã³ã¿ãã¿ã¡ã
Lv.19äºä»¶ãçºçããã«ç±æ¥ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããã¿ãã¿ã¡ã
Lv.19äºä»¶ãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã¿ãã¿ã¡ã
Lv.19äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: è³¢ããšããããšããã³ã¿ãã¿ã¡ã
Lv.19äºä»¶ãçãã; int1 & fact5 -> int2: å€ããšããããšã¯çããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: {A} fact3: ¬{AS} fact4: ¬{CB} fact5: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; fact2 & assump1 -> int1: ({A} & {B}); int1 & fact5 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãã·ãLv.78ã¯åŒ±ãããããã¯å¯ãããªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯äºå®ã§ãªã | ¬({D}{e} v ¬{C}{e}) | fact1: ããããã®ãœããœãLv.7ã¯ä¿¡ãé£ããšããããã®ãŸã«ããŸãLv.5ã¯ããããªã fact2: ãããããã®ãœããœãLv.7ã¯ä¿¡ãé£ããªãã圹ããããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ãŠã°ãã®ãŸã«ããŸãLv.5ã¯ããããªã fact3: ããããããã¢ã³ã¹ã¿ãŒãé倪ããªããªãã°ãã®ãŽããŽã«ãLv.59ã¯å¯ãããšããããšã¯ãªã fact4: ãã®ãŽã¡ããŽã«ãLv.15ã¯ããã fact5: ãã®ãŽããŽã«ãLv.59ãå¯ãããªããšããããã®ã·ãã·ãLv.78ã¯åŒ±ãããŸãã¯å¯ãããªãããããã¯äž¡æ¹ã fact6: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é倪ããšããããšã¯ãªã fact7: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯é倪ããšãããã匱ãããŸãã¯å¯ãããšããããšã¯ãªãããšããããšã¯åã fact8: ããããã®ãŸã«ããŸãLv.5ãããããšããããšã¯ãªããšããã°ãã®ãŽã¡ããŽã«ãLv.15ã¯ããããé倪ããªã fact9: ããã®ãœããœãLv.7ã¯ä¿¡ãé£ããªããŠãŸã圹ããããªãããšããããšã¯æãç«ããªã fact10: ããä»®ã«ãã®ãŸã«ããŸãLv.5ã¯ããããšããããšã¯ãªããªãããã®ãŽã¡ããŽã«ãLv.15ã¯ãããããšããããšã¯æ¬åœã§ãã | fact1: {AA}{a} -> ¬{B}{b} fact2: ¬(¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact3: (x): ({B}x & ¬{A}x) -> ¬{C}{d} fact4: {B}{c} fact5: ¬{C}{d} -> ({D}{e} v ¬{C}{e}) fact6: (Ex): ¬{A}x fact7: (x): {A}x -> ¬({D}x v ¬{C}x) fact8: ¬{B}{b} -> ({B}{c} & ¬{A}{c}) fact9: ¬(¬{AA}{a} & ¬{AB}{a}) fact10: ¬{B}{b} -> {B}{c} | [
"fact2 & fact9 -> int1: ãã®ãŸã«ããŸãLv.5ã¯ããããªã; int1 & fact8 -> int2: ããã®ãŽã¡ããŽã«ãLv.15ã¯ããããé倪ããªãããšããããšã¯æãç«ã€; int2 -> int3: ãããããã®äžé倪ããªãã¢ã³ã¹ã¿ãŒã¯ãã; int3 & fact3 -> int4: ããã®ãŽããŽã«ãLv.59ã¯å¯ãããªãããšããããšã¯çå®ã ; int4 & fact5 -> hypothesis;"
] | [
"fact2 & fact9 -> int1: ¬{B}{b}; int1 & fact8 -> int2: ({B}{c} & ¬{A}{c}); int2 -> int3: (Ex): ({B}x & ¬{A}x); int3 & fact3 -> int4: ¬{C}{d}; int4 & fact5 -> hypothesis;"
] | ããã®ã·ãã·ãLv.78ã¯åŒ±ãããããã¯å¯ãããªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯äºå®ã§ãªã | ¬({D}{e} v ¬{C}{e}) | [
"fact11 -> int5: ãã®ã·ãã·ãLv.78ã¯é倪ããšããã°ãããã¯åŒ±ããããã¯å¯ãããªãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœããœãLv.7ã¯ä¿¡ãé£ããšããããã®ãŸã«ããŸãLv.5ã¯ããããªã fact2: ãããããã®ãœããœãLv.7ã¯ä¿¡ãé£ããªãã圹ããããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ãŠã°ãã®ãŸã«ããŸãLv.5ã¯ããããªã fact3: ããããããã¢ã³ã¹ã¿ãŒãé倪ããªããªãã°ãã®ãŽããŽã«ãLv.59ã¯å¯ãããšããããšã¯ãªã fact4: ãã®ãŽã¡ããŽã«ãLv.15ã¯ããã fact5: ãã®ãŽããŽã«ãLv.59ãå¯ãããªããšããããã®ã·ãã·ãLv.78ã¯åŒ±ãããŸãã¯å¯ãããªãããããã¯äž¡æ¹ã fact6: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é倪ããšããããšã¯ãªã fact7: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯é倪ããšãããã匱ãããŸãã¯å¯ãããšããããšã¯ãªãããšããããšã¯åã fact8: ããããã®ãŸã«ããŸãLv.5ãããããšããããšã¯ãªããšããã°ãã®ãŽã¡ããŽã«ãLv.15ã¯ããããé倪ããªã fact9: ããã®ãœããœãLv.7ã¯ä¿¡ãé£ããªããŠãŸã圹ããããªãããšããããšã¯æãç«ããªã fact10: ããä»®ã«ãã®ãŸã«ããŸãLv.5ã¯ããããšããããšã¯ãªããªãããã®ãŽã¡ããŽã«ãLv.15ã¯ãããããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = ããã®ã·ãã·ãLv.78ã¯åŒ±ãããããã¯å¯ãããªãããŸãã¯ã©ã¡ããã§ããããšããããšã¯äºå®ã§ãªã ; $proof$ = | fact2 & fact9 -> int1: ãã®ãŸã«ããŸãLv.5ã¯ããããªã; int1 & fact8 -> int2: ããã®ãŽã¡ããŽã«ãLv.15ã¯ããããé倪ããªãããšããããšã¯æãç«ã€; int2 -> int3: ãããããã®äžé倪ããªãã¢ã³ã¹ã¿ãŒã¯ãã; int3 & fact3 -> int4: ããã®ãŽããŽã«ãLv.59ã¯å¯ãããªãããšããããšã¯çå®ã ; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AA}{a} -> ¬{B}{b} fact2: ¬(¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} fact3: (x): ({B}x & ¬{A}x) -> ¬{C}{d} fact4: {B}{c} fact5: ¬{C}{d} -> ({D}{e} v ¬{C}{e}) fact6: (Ex): ¬{A}x fact7: (x): {A}x -> ¬({D}x v ¬{C}x) fact8: ¬{B}{b} -> ({B}{c} & ¬{A}{c}) fact9: ¬(¬{AA}{a} & ¬{AB}{a}) fact10: ¬{B}{b} -> {B}{c} ; $hypothesis$ = ¬({D}{e} v ¬{C}{e}) ; $proof$ = | fact2 & fact9 -> int1: ¬{B}{b}; int1 & fact8 -> int2: ({B}{c} & ¬{A}{c}); int2 -> int3: (Ex): ({B}x & ¬{A}x); int3 & fact3 -> int4: ¬{C}{d}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãŽããŽãLv.25äºä»¶ã¯èµ·ããªã | ¬{E} | fact1: é«ããšããããšã¯çºçããªããšããããã¿ã¡ãã¿ãLv.59äºä»¶ãèµ·ããããŸãã¯ãã«ã
ããLv.33äºä»¶ã¯çããªããã©ã¡ããã§ããããšããããšã¯çå®ã§ãªã fact2: ãã£ãããšããããšã¯èµ·ããªããšããããšã¯ç·ã£ãœããšããããšã¯çºçããªããšããããšã«åŒãèµ·ãããã fact3: ä»®ã«ç·ã£ãœããšããããšã¯èµ·ããªããšããã°ãããã£ãããšããããšãçããããããã¯å®ããšããããšãèµ·ãããäž¡æ¹ãšãã§ããããšããããšã¯äºå®ã ããšããããšã¯äºå®ãšç°ãªã fact4: ããããã¿ã¡ãã¿ãLv.59äºä»¶ãçããããããã¯ãã«ã
ããLv.33äºä»¶ã¯çããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããšãããšç·ã£ãœããšããããšã¯èµ·ãããªã fact5: é«ããšããããšã¯çºçããªã fact6: ä»®ã«ããã£ãããšããããšãçºçããããããã¯å®ããšããããšãèµ·ããããšããããšã¯èª€ãã§ãããªãã°ãŽããŽãLv.25äºä»¶ã¯èµ·ãããªã fact7: ãã¿ã¡ãã¿ãLv.59äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ | fact1: ¬{A} -> ¬({AA} v ¬{AB}) fact2: ¬{B} -> ¬{D} fact3: ¬{B} -> ¬({D} v {C}) fact4: ¬({AA} v ¬{AB}) -> ¬{B} fact5: ¬{A} fact6: ¬({D} v {C}) -> ¬{E} fact7: ¬{AA} | [
"fact1 & fact5 -> int1: ãã¿ã¡ãã¿ãLv.59äºä»¶ãçããããã«ã
ããLv.33äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; int1 & fact4 -> int2: ç·ã£ãœããšããããšã¯èµ·ããªã; int2 & fact3 -> int3: ãããã£ãããšããããšããããã¯å®ããšããããšããããã¯äž¡æ¹ãèµ·ããããšããããšã¯æãç«ã€ããšããããšã¯æ¬åœã§ãªã; int3 & fact6 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ¬({AA} v ¬{AB}); int1 & fact4 -> int2: ¬{B}; int2 & fact3 -> int3: ¬({D} v {C}); int3 & fact6 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: é«ããšããããšã¯çºçããªããšããããã¿ã¡ãã¿ãLv.59äºä»¶ãèµ·ããããŸãã¯ãã«ã
ããLv.33äºä»¶ã¯çããªããã©ã¡ããã§ããããšããããšã¯çå®ã§ãªã fact2: ãã£ãããšããããšã¯èµ·ããªããšããããšã¯ç·ã£ãœããšããããšã¯çºçããªããšããããšã«åŒãèµ·ãããã fact3: ä»®ã«ç·ã£ãœããšããããšã¯èµ·ããªããšããã°ãããã£ãããšããããšãçããããããã¯å®ããšããããšãèµ·ãããäž¡æ¹ãšãã§ããããšããããšã¯äºå®ã ããšããããšã¯äºå®ãšç°ãªã fact4: ããããã¿ã¡ãã¿ãLv.59äºä»¶ãçããããããã¯ãã«ã
ããLv.33äºä»¶ã¯çããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªããšãããšç·ã£ãœããšããããšã¯èµ·ãããªã fact5: é«ããšããããšã¯çºçããªã fact6: ä»®ã«ããã£ãããšããããšãçºçããããããã¯å®ããšããããšãèµ·ããããšããããšã¯èª€ãã§ãããªãã°ãŽããŽãLv.25äºä»¶ã¯èµ·ãããªã fact7: ãã¿ã¡ãã¿ãLv.59äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãŽããŽãLv.25äºä»¶ã¯èµ·ããªã ; $proof$ = | fact1 & fact5 -> int1: ãã¿ã¡ãã¿ãLv.59äºä»¶ãçããããã«ã
ããLv.33äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; int1 & fact4 -> int2: ç·ã£ãœããšããããšã¯èµ·ããªã; int2 & fact3 -> int3: ãããã£ãããšããããšããããã¯å®ããšããããšããããã¯äž¡æ¹ãèµ·ããããšããããšã¯æãç«ã€ããšããããšã¯æ¬åœã§ãªã; int3 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({AA} v ¬{AB}) fact2: ¬{B} -> ¬{D} fact3: ¬{B} -> ¬({D} v {C}) fact4: ¬({AA} v ¬{AB}) -> ¬{B} fact5: ¬{A} fact6: ¬({D} v {C}) -> ¬{E} fact7: ¬{AA} ; $hypothesis$ = ¬{E} ; $proof$ = | fact1 & fact5 -> int1: ¬({AA} v ¬{AB}); int1 & fact4 -> int2: ¬{B}; int2 & fact3 -> int3: ¬({D} v {C}); int3 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããããèš³ç¡ããªããªãã°ã¿ã€ãã«ããããªããããã«èš³ç¡ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬{C}x -> (¬{A}x & ¬{C}x) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã³ã³ãããŒã«ãæã fact2: ãããèš³ç¡ããšãããã¿ã€ãã«ããããªããããã«èš³ç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãã¿ããªãã°ãããã¯ããã£ããããªãããããèš³ç¡ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã³ã³ãããŒã«ãæãããšããããšã¯ç¢ºãã ãšããã°ãããã¯æž
ã
ãããªãäžæ¹ã§ã¢ã¡ãªã«ãããããšããããšã¯ééãã fact5: ãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããšããããšã¯ãªããŠããã¯é Œããããšããããšã¯ãªã fact6: ããããã®ã¿ãã¿ã®Lv.75ãèš³ç¡ããšããããã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªããããã¯é Œããã | fact1: (x): {H}x fact2: (Ex): {C}x -> (¬{A}x & ¬{C}x) fact3: (x): {D}x -> ¬(¬{E}x & ¬{C}x) fact4: (x): {H}x -> ¬(¬{F}x & {G}x) fact5: (¬{A}{a} & ¬{B}{a}) fact6: {C}{b} -> (¬{A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ã
Lv.37ã¯èš³ç¡ããªã; int1 & assump1 -> int2: ãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªãããŸãèš³ç¡ããªã; [assump1] & int2 -> int3: ä»®ã«ãã®ã·ãã·ã¡ã
Lv.37ãèš³ç¡ããªããšãããšãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªããèš³ç¡ããšããããšã¯ãªã; int3 -> hypothesis;"
] | [
"fact5 -> int1: ¬{A}{a}; void -> assump1: ¬{C}{a}; int1 & assump1 -> int2: (¬{A}{a} & ¬{C}{a}); [assump1] & int2 -> int3: ¬{C}{a} -> (¬{A}{a} & ¬{C}{a}); int3 -> hypothesis;"
] | ãã®ã·ãªã·ãLv.89ã¯é Œããããªã | ¬{B}{dm} | [
"fact9 -> int4: ããããã®ã¿ãã¿ã®Lv.75ã¯ãã¿ããšããã°ãããã£ããããªããŠãã€èš³ç¡ããªãããšããããšã¯æ£ãããªã; fact10 -> int5: ãããããã®ãã¡ãããªLv.93ã¯ã³ã³ãããŒã«ãæããšãããããã®ãã¡ãããªLv.93ã¯æž
ã
ãããªãããããã¢ã¡ãªã«ãããããšããããšã¯ééãã§ããããšããããšã¯çå®ã ; fact8 -> int6: ãã®ãã¡ãããªLv.93ã¯ã³ã³ãããŒã«ãæã; int5 & int6 -> int7: ããã®ãã¡ãããªLv.93ã¯æž
ã
ãããªãããããããã¯ã¢ã¡ãªã«ãããããšããããšã¯åã ; int7 -> int8: æž
ã
ãããªãäžæ¹ã§ã¢ã¡ãªã«ããããšããã¢ã³ã¹ã¿ãŒã¯ãªã; int8 -> int9: ããã®ã·ãã·ãLv.59ã¯æž
ã
ãããšããããšã¯ãªããã¢ã¡ãªã«ãããããšããããšã¯æãç«ããªã;"
] | 9 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã³ã³ãããŒã«ãæã fact2: ãããèš³ç¡ããšãããã¿ã€ãã«ããããªããããã«èš³ç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãã¿ããªãã°ãããã¯ããã£ããããªãããããèš³ç¡ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã³ã³ãããŒã«ãæãããšããããšã¯ç¢ºãã ãšããã°ãããã¯æž
ã
ãããªãäžæ¹ã§ã¢ã¡ãªã«ãããããšããããšã¯ééãã fact5: ãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããšããããšã¯ãªããŠããã¯é Œããããšããããšã¯ãªã fact6: ããããã®ã¿ãã¿ã®Lv.75ãèš³ç¡ããšããããã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªããããã¯é Œããã ; $hypothesis$ = ããããèš³ç¡ããªããªãã°ã¿ã€ãã«ããããªããããã«èš³ç¡ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact5 -> int1: ãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ã
Lv.37ã¯èš³ç¡ããªã; int1 & assump1 -> int2: ãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªãããŸãèš³ç¡ããªã; [assump1] & int2 -> int3: ä»®ã«ãã®ã·ãã·ã¡ã
Lv.37ãèš³ç¡ããªããšãããšãã®ã·ãã·ã¡ã
Lv.37ã¯ã¿ã€ãã«ããããªããèš³ç¡ããšããããšã¯ãªã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {H}x fact2: (Ex): {C}x -> (¬{A}x & ¬{C}x) fact3: (x): {D}x -> ¬(¬{E}x & ¬{C}x) fact4: (x): {H}x -> ¬(¬{F}x & {G}x) fact5: (¬{A}{a} & ¬{B}{a}) fact6: {C}{b} -> (¬{A}{a} & {B}{a}) ; $hypothesis$ = (Ex): ¬{C}x -> (¬{A}x & ¬{C}x) ; $proof$ = | fact5 -> int1: ¬{A}{a}; void -> assump1: ¬{C}{a}; int1 & assump1 -> int2: (¬{A}{a} & ¬{C}{a}); [assump1] & int2 -> int3: ¬{C}{a} -> (¬{A}{a} & ¬{C}{a}); int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãã¿ã®Lv.67ã¯åŸæããªã | ¬{A}{aa} | fact1: ãã®ã¿ãã¿ã®Lv.67ã¯ç²ããªããããŸãã«èµ·ããé£ããªã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸæããšãããããç²ããªããèµ·ããé£ããªãããšããããšã¯åã§ãªãããšããããšã¯åœã fact3: ä»®ã«ãã®ã¿ãã¿ã®Lv.67ã¯åŸæããšããããç²ããŠãã€ããã¯èµ·ããé£ããªãããšããããšã¯ééã£ãŠãã | fact1: (¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) fact3: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) | [
"fact2 -> int1: ä»®ã«ãã®ã¿ãã¿ã®Lv.67ã¯åŸæããªãããã®ã¿ãã¿ã®Lv.67ã¯ç²ããªããŠããã«èµ·ããé£ããªãããšããããšã¯åã§ãã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã®Lv.67ã¯åŸæã; int1 & assump1 -> int2: ããã®ã¿ãã¿ã®Lv.67ã¯ç²ããªããããã¯èµ·ããé£ããªãããšããããšã¯ç¢ºãã§ãªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"fact2 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}); void -> assump1: {A}{aa}; int1 & assump1 -> int2: ¬(¬{AA}{aa} & ¬{AB}{aa}); int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ãã¿ã®Lv.67ã¯ç²ããªããããŸãã«èµ·ããé£ããªã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸæããšãããããç²ããªããèµ·ããé£ããªãããšããããšã¯åã§ãªãããšããããšã¯åœã fact3: ä»®ã«ãã®ã¿ãã¿ã®Lv.67ã¯åŸæããšããããç²ããŠãã€ããã¯èµ·ããé£ããªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãã®ã¿ãã¿ã®Lv.67ã¯åŸæããªã ; $proof$ = | fact2 -> int1: ä»®ã«ãã®ã¿ãã¿ã®Lv.67ã¯åŸæããªãããã®ã¿ãã¿ã®Lv.67ã¯ç²ããªããŠããã«èµ·ããé£ããªãããšããããšã¯åã§ãã; void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã®Lv.67ã¯åŸæã; int1 & assump1 -> int2: ããã®ã¿ãã¿ã®Lv.67ã¯ç²ããªããããã¯èµ·ããé£ããªãããšããããšã¯ç¢ºãã§ãªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) fact3: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) ; $hypothesis$ = ¬{A}{aa} ; $proof$ = | fact2 -> int1: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}); void -> assump1: {A}{aa}; int1 & assump1 -> int2: ¬(¬{AA}{aa} & ¬{AB}{aa}); int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ããããä»®ã«ãæ°ä»ãé£ããæãããšããããšã¯æãç«ããªããªããã€ãããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åœã§ãã | ¬((Ex): ¬({AA}x & {AB}x) -> ¬{B}x) | fact1: ãåãèŸããªããªãã°è§£ãæããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããããæ°ä»ãé£ããããŸãã«æãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããã€ãããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.40ãæããªããšãããšãã®ã·ãã·ãLv.40ã¯ãã€ãããªã | fact1: (Ex): ¬{ES}x -> ¬{IQ}x fact2: (Ex): ¬({AA}x & {AB}x) -> {B}x fact3: ¬{AB}{aa} -> ¬{B}{aa} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãåãèŸããªããªãã°è§£ãæããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããããæ°ä»ãé£ããããŸãã«æãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããã€ãããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä»®ã«ãã®ã·ãã·ãLv.40ãæããªããšãããšãã®ã·ãã·ãLv.40ã¯ãã€ãããªã ; $hypothesis$ = ããããä»®ã«ãæ°ä»ãé£ããæãããšããããšã¯æãç«ããªããªããã€ãããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ¬{ES}x -> ¬{IQ}x fact2: (Ex): ¬({AA}x & {AB}x) -> {B}x fact3: ¬{AB}{aa} -> ¬{B}{aa} ; $hypothesis$ = ¬((Ex): ¬({AA}x & {AB}x) -> ¬{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ã
ãŸã«ãLv.31ã¯å£²ãé£ã°ããªããã©çºæ®ãé£ã | (¬{B}{c} & {A}{c}) | fact1: ãã®ãããã«ã
Lv.80ã¯çºæ®ãé£ããšãããšããã®ãŸã¡ã
ãŸã«ãLv.31ã¯å£²ãé£ã°ããªããçºæ®ãé£ãããšããããšã¯ééãã§ãã fact2: èæ±ããªãã¢ã³ã¹ã¿ãŒã¯æ©ãããšããããšã¯ãªãäžæ¹ã§åã fact3: ä»®ã«ãã®ãããã«ã
Lv.80ã¯çºæ®ãé£ããªããšãããšããã®ãã«ã
ãã¡ã
Lv.40ã¯ç¡ããªãããŸãã¯æé€ããããšããããšã¯æãç«ããªã fact4: ãã®ãã«ã
ãã¡ã
Lv.40ã¯ç¡ããªãããããã¯æé€ããããŸãã¯äž¡æ¹ã§ãã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒãæ©ããªããªã売ãé£ã°ããªããã©çºæ®ãé£ã fact6: ããã®ãã«ã
ãã¡ã
Lv.40ã¯çºæ®ãé£ããŠæé€ããããšããããšã¯èª€ãã§ãã fact7: ããã®ãããã«ã
Lv.80ã¯èæ±ãããããæŒã£ä»ããªãããšããããšã¯äºå®ãšç°ãªããšãããšãã®ãŸã¡ã
ãŸã«ãLv.31ã¯èæ±ããªã fact8: ããã®ã¿ã®ã¿ã¡ãLv.62ã¯çºæ®ãé£ããªãããããã¯ããããããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã | fact1: {A}{a} -> ¬(¬{B}{c} & {A}{c}) fact2: (x): ¬{E}x -> (¬{C}x & {D}x) fact3: ¬{A}{a} -> ¬(¬{AA}{b} v {AB}{b}) fact4: (¬{AA}{b} v {AB}{b}) fact5: (x): ¬{C}x -> (¬{B}x & {A}x) fact6: ¬({A}{b} & {AB}{b}) fact7: ¬({E}{a} & ¬{F}{a}) -> ¬{E}{c} fact8: ¬(¬{A}{en} v {FP}{en}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãããã«ã
Lv.80ã¯çºæ®ãé£ããªãããšããããšã¯ééãã§ãªã; fact3 & assump1 -> int1: ããã®ãã«ã
ãã¡ã
Lv.40ã¯ç¡ããªãããããã¯æé€ããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯èª€ã£ãŠãã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãããã«ã
Lv.80ã¯çºæ®ãé£ã; int3 & fact1 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact3 & assump1 -> int1: ¬(¬{AA}{b} v {AB}{b}); int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: {A}{a}; int3 & fact1 -> hypothesis;"
] | ãã®ãŸã¡ã
ãŸã«ãLv.31ã¯å£²ãé£ã°ããªããã©çºæ®ãé£ã | (¬{B}{c} & {A}{c}) | [
"fact9 -> int4: ããããã®ãŸã¡ã
ãŸã«ãLv.31ãæ©ããªããšãããšããã¯å£²ãé£ã°ããªããçºæ®ãé£ã; fact10 -> int5: ãããã®ãŸã¡ã
ãŸã«ãLv.31ãèæ±ããšããããšã¯ãªããšããã°æ©ããªããŠå ããŠåã;"
] | 6 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãããã«ã
Lv.80ã¯çºæ®ãé£ããšãããšããã®ãŸã¡ã
ãŸã«ãLv.31ã¯å£²ãé£ã°ããªããçºæ®ãé£ãããšããããšã¯ééãã§ãã fact2: èæ±ããªãã¢ã³ã¹ã¿ãŒã¯æ©ãããšããããšã¯ãªãäžæ¹ã§åã fact3: ä»®ã«ãã®ãããã«ã
Lv.80ã¯çºæ®ãé£ããªããšãããšããã®ãã«ã
ãã¡ã
Lv.40ã¯ç¡ããªãããŸãã¯æé€ããããšããããšã¯æãç«ããªã fact4: ãã®ãã«ã
ãã¡ã
Lv.40ã¯ç¡ããªãããããã¯æé€ããããŸãã¯äž¡æ¹ã§ãã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒãæ©ããªããªã売ãé£ã°ããªããã©çºæ®ãé£ã fact6: ããã®ãã«ã
ãã¡ã
Lv.40ã¯çºæ®ãé£ããŠæé€ããããšããããšã¯èª€ãã§ãã fact7: ããã®ãããã«ã
Lv.80ã¯èæ±ãããããæŒã£ä»ããªãããšããããšã¯äºå®ãšç°ãªããšãããšãã®ãŸã¡ã
ãŸã«ãLv.31ã¯èæ±ããªã fact8: ããã®ã¿ã®ã¿ã¡ãLv.62ã¯çºæ®ãé£ããªãããããã¯ããããããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã ; $hypothesis$ = ãã®ãŸã¡ã
ãŸã«ãLv.31ã¯å£²ãé£ã°ããªããã©çºæ®ãé£ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãããã«ã
Lv.80ã¯çºæ®ãé£ããªãããšããããšã¯ééãã§ãªã; fact3 & assump1 -> int1: ããã®ãã«ã
ãã¡ã
Lv.40ã¯ç¡ããªãããããã¯æé€ããããŸãã¯äž¡æ¹ãšãã ããšããããšã¯èª€ã£ãŠãã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãããã«ã
Lv.80ã¯çºæ®ãé£ã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> ¬(¬{B}{c} & {A}{c}) fact2: (x): ¬{E}x -> (¬{C}x & {D}x) fact3: ¬{A}{a} -> ¬(¬{AA}{b} v {AB}{b}) fact4: (¬{AA}{b} v {AB}{b}) fact5: (x): ¬{C}x -> (¬{B}x & {A}x) fact6: ¬({A}{b} & {AB}{b}) fact7: ¬({E}{a} & ¬{F}{a}) -> ¬{E}{c} fact8: ¬(¬{A}{en} v {FP}{en}) ; $hypothesis$ = (¬{B}{c} & {A}{c}) ; $proof$ = | void -> assump1: ¬{A}{a}; fact3 & assump1 -> int1: ¬(¬{AA}{b} v {AB}{b}); int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: {A}{a}; int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¿ãã¿ãLv.8ã¯å°ããã¢ã¡ãªã«ããããªãããšããããšã¯æãç«ããªã | ¬({G}{d} & ¬{E}{d}) | fact1: ä»®ã«ããã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªãããšããããšã¯ç¢ºãã ãšããã°ããã®ãŸããŸã«ãLv.83ã¯ãããªãããããšããããšã¯ç¢ºãã§ãã fact2: ããããã®ãœã«ããœã¡ãLv.70ãæãæãããããã¯ãããéãæããäž¡æ¹ãšãã§ãããªããã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªã fact3: ããã®ãŸããŸã«ãLv.83ã¯ãããªããããæ·±ãããšããããšã¯ééããªããã®ãŸããŸã«ãLv.83ã¯ã¢ã¡ãªã«ããããšããããšã¯ãªã fact4: ä»®ã«ãã®ãŸããŸã«ãLv.83ã¯ã¢ã¡ãªã«ããããªããªãããã®ã¿ãã¿ãLv.8ã¯å°ããã©ããã¯ã¢ã¡ãªã«ããããªãããšããããšã¯æãç«ããªã fact5: ããããã®ãŸããŸã«ãLv.83ã¯ã¢ã¡ãªã«ããããªããªãã°ããã®ã¿ãã¿ãLv.8ã¯å°ãããŸãã¢ã¡ãªã«ãããããšããããšã¯ééã£ãŠãã fact6: ããããã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªããšãããšããã®ãŸããŸã«ãLv.83ã¯ãããªãããªãããŸãã¯æ·±ãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact7: ãã®ãœã«ããœã¡ãLv.70ã¯éãæã | fact1: ¬{C}{b} -> {C}{c} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} fact3: ¬({C}{c} v {D}{c}) -> ¬{E}{c} fact4: ¬{E}{c} -> ¬({G}{d} & ¬{E}{d}) fact5: ¬{E}{c} -> ¬({G}{d} & {E}{d}) fact6: ¬{C}{b} -> ¬(¬{C}{c} v {D}{c}) fact7: {B}{a} | [
"fact7 -> int1: ãã®ãœã«ããœã¡ãLv.70ã¯æãæãããŸãã¯éãæã; int1 & fact2 -> int2: ãã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªã; int2 & fact6 -> int3: ããã®ãŸããŸã«ãLv.83ã¯ãããªããããšããããšã¯ãªãããããã¯æ·±ãããããã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã;"
] | [
"fact7 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; int2 & fact6 -> int3: ¬(¬{C}{c} v {D}{c});"
] | null | null | [] | null | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ããã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªãããšããããšã¯ç¢ºãã ãšããã°ããã®ãŸããŸã«ãLv.83ã¯ãããªãããããšããããšã¯ç¢ºãã§ãã fact2: ããããã®ãœã«ããœã¡ãLv.70ãæãæãããããã¯ãããéãæããäž¡æ¹ãšãã§ãããªããã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªã fact3: ããã®ãŸããŸã«ãLv.83ã¯ãããªããããæ·±ãããšããããšã¯ééããªããã®ãŸããŸã«ãLv.83ã¯ã¢ã¡ãªã«ããããšããããšã¯ãªã fact4: ä»®ã«ãã®ãŸããŸã«ãLv.83ã¯ã¢ã¡ãªã«ããããªããªãããã®ã¿ãã¿ãLv.8ã¯å°ããã©ããã¯ã¢ã¡ãªã«ããããªãããšããããšã¯æãç«ããªã fact5: ããããã®ãŸããŸã«ãLv.83ã¯ã¢ã¡ãªã«ããããªããªãã°ããã®ã¿ãã¿ãLv.8ã¯å°ãããŸãã¢ã¡ãªã«ãããããšããããšã¯ééã£ãŠãã fact6: ããããã®ã·ã®ã·ã¡ãLv.5ã¯ãããªãããªããšãããšããã®ãŸããŸã«ãLv.83ã¯ãããªãããªãããŸãã¯æ·±ãããŸãã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact7: ãã®ãœã«ããœã¡ãLv.70ã¯éãæã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.8ã¯å°ããã¢ã¡ãªã«ããããªãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C}{b} -> {C}{c} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} fact3: ¬({C}{c} v {D}{c}) -> ¬{E}{c} fact4: ¬{E}{c} -> ¬({G}{d} & ¬{E}{d}) fact5: ¬{E}{c} -> ¬({G}{d} & {E}{d}) fact6: ¬{C}{b} -> ¬(¬{C}{c} v {D}{c}) fact7: {B}{a} ; $hypothesis$ = ¬({G}{d} & ¬{E}{d}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãœããœã«ãLv.59äºä»¶ã¯èµ·ããªã | ¬{D} | fact1: ããæã
ãããšããããšã¯èµ·ããªããªããããŽããŽã«ãLv.9äºä»¶ã¯çºçããªãããœã¡ã
ãœãLv.58äºä»¶ãèµ·ããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æãç«ã€ fact2: ããœããœã«ãLv.59äºä»¶ã¯èµ·ãããªãããšããããšã¯æã
ãããšããããšã«èªçºããã fact3: æšããšããããšã¯èµ·ãããªãããŸãã¯éè³ãæããšããããšãçãã fact4: æšããšããããšã¯çºçããªãããããã¯éè³ãæããšããããšã¯èµ·ããªãããŸãã¯äž¡æ¹ã§ãã fact5: ä»®ã«ãœã¡ã
ãœãLv.58äºä»¶ãçãããæã
ãããšããããšãèµ·ãããšããããœããœã«ãLv.59äºä»¶ã¯çããªã fact6: ãæšããšããããšã¯çããªãããšããããšããããã¯éè³ãæããšããããšã¯èµ·ãããªããšããããšããããã¯äž¡æ¹ã¯ãŽããŽã«ãLv.9äºä»¶ãèªçºãã fact7: æšããšããããšãçããããããã¯éè³ãæããšããããšã¯èµ·ããªã | fact1: ¬{C} -> ¬(¬{A} & {B}) fact2: {C} -> ¬{D} fact3: (¬{E} v {F}) fact4: (¬{E} v ¬{F}) fact5: ({B} v {C}) -> ¬{D} fact6: (¬{E} v ¬{F}) -> {A} fact7: ({E} v ¬{F}) | [
"fact6 & fact4 -> int1: ãŽããŽã«ãLv.9äºä»¶ãèµ·ãã;"
] | [
"fact6 & fact4 -> int1: {A};"
] | ãœããœã«ãLv.59äºä»¶ãçãã | {D} | [] | 6 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããæã
ãããšããããšã¯èµ·ããªããªããããŽããŽã«ãLv.9äºä»¶ã¯çºçããªãããœã¡ã
ãœãLv.58äºä»¶ãèµ·ããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æãç«ã€ fact2: ããœããœã«ãLv.59äºä»¶ã¯èµ·ãããªãããšããããšã¯æã
ãããšããããšã«èªçºããã fact3: æšããšããããšã¯èµ·ãããªãããŸãã¯éè³ãæããšããããšãçãã fact4: æšããšããããšã¯çºçããªãããããã¯éè³ãæããšããããšã¯èµ·ããªãããŸãã¯äž¡æ¹ã§ãã fact5: ä»®ã«ãœã¡ã
ãœãLv.58äºä»¶ãçãããæã
ãããšããããšãèµ·ãããšããããœããœã«ãLv.59äºä»¶ã¯çããªã fact6: ãæšããšããããšã¯çããªãããšããããšããããã¯éè³ãæããšããããšã¯èµ·ãããªããšããããšããããã¯äž¡æ¹ã¯ãŽããŽã«ãLv.9äºä»¶ãèªçºãã fact7: æšããšããããšãçããããããã¯éè³ãæããšããããšã¯èµ·ããªã ; $hypothesis$ = ãœããœã«ãLv.59äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C} -> ¬(¬{A} & {B}) fact2: {C} -> ¬{D} fact3: (¬{E} v {F}) fact4: (¬{E} v ¬{F}) fact5: ({B} v {C}) -> ¬{D} fact6: (¬{E} v ¬{F}) -> {A} fact7: ({E} v ¬{F}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãœãªãœã«ãLv.47ã¯èžãäžãããªã | ¬{A}{a} | fact1: ãã®ãœãªãœã«ãLv.47ãèžãäžãããªããªããã®ãŸã¡ããŸãLv.8ã¯çžäŒããªããã©ãªãã fact2: ãã®ãŸã¡ããŸãLv.8ã¯ãªãããªãããããã¢ã¡ãªã«ããããšããã°ãã®ãŸã¡ããŸãLv.60ã¯çžäŒãããšããããšã¯ãªã fact3: ãããããã®ãŸã¡ããŸãLv.60ã¯ãªãããå ããŠã¢ã¡ãªã«ãããããšããããšã¯ééãã§ãªããªãã°ãã®ãŸã¡ããŸãLv.8ã¯èžãäžãããªã fact4: ãã®ãŸã¡ããŸãLv.8ã¯èžãäžãããªã fact5: ãã®ãŸã¡ããŸãLv.60ã¯ã¢ã¡ãªã«ããã fact6: ãã®ãŸã¡ããŸãLv.60ã¯ãªãããªã fact7: ãããã®ãŸã¡ããŸãLv.8ãçžäŒããªããã©ãªãããªããã®ãŸã¡ããŸãLv.60ã¯ã¢ã¡ãªã«ããããªã fact8: ãã®ãœãªãœã«ãLv.47ã¯æããæããªãäžæ¹ã§ã¢ã¡ãªã«ããã | fact1: ¬{A}{a} -> (¬{AA}{b} & {AB}{b}) fact2: (¬{AB}{b} & {B}{b}) -> ¬{AA}{c} fact3: ({AB}{c} & {B}{c}) -> ¬{A}{b} fact4: ¬{A}{b} fact5: {B}{c} fact6: ¬{AB}{c} fact7: (¬{AA}{b} & {AB}{b}) -> ¬{B}{c} fact8: (¬{FD}{a} & {B}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœãªãœã«ãLv.47ã¯èžãäžãããªã; fact1 & assump1 -> int1: ãã®ãŸã¡ããŸãLv.8ã¯çžäŒããªãäžæ¹ã§ãªãã; int1 & fact7 -> int2: ãã®ãŸã¡ããŸãLv.60ã¯ã¢ã¡ãªã«ããããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: (¬{AA}{b} & {AB}{b}); int1 & fact7 -> int2: ¬{B}{c}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãœãªãœã«ãLv.47ãèžãäžãããªããªããã®ãŸã¡ããŸãLv.8ã¯çžäŒããªããã©ãªãã fact2: ãã®ãŸã¡ããŸãLv.8ã¯ãªãããªãããããã¢ã¡ãªã«ããããšããã°ãã®ãŸã¡ããŸãLv.60ã¯çžäŒãããšããããšã¯ãªã fact3: ãããããã®ãŸã¡ããŸãLv.60ã¯ãªãããå ããŠã¢ã¡ãªã«ãããããšããããšã¯ééãã§ãªããªãã°ãã®ãŸã¡ããŸãLv.8ã¯èžãäžãããªã fact4: ãã®ãŸã¡ããŸãLv.8ã¯èžãäžãããªã fact5: ãã®ãŸã¡ããŸãLv.60ã¯ã¢ã¡ãªã«ããã fact6: ãã®ãŸã¡ããŸãLv.60ã¯ãªãããªã fact7: ãããã®ãŸã¡ããŸãLv.8ãçžäŒããªããã©ãªãããªããã®ãŸã¡ããŸãLv.60ã¯ã¢ã¡ãªã«ããããªã fact8: ãã®ãœãªãœã«ãLv.47ã¯æããæããªãäžæ¹ã§ã¢ã¡ãªã«ããã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãœãªãœã«ãLv.47ã¯èžãäžãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœãªãœã«ãLv.47ã¯èžãäžãããªã; fact1 & assump1 -> int1: ãã®ãŸã¡ããŸãLv.8ã¯çžäŒããªãäžæ¹ã§ãªãã; int1 & fact7 -> int2: ãã®ãŸã¡ããŸãLv.60ã¯ã¢ã¡ãªã«ããããªã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> (¬{AA}{b} & {AB}{b}) fact2: (¬{AB}{b} & {B}{b}) -> ¬{AA}{c} fact3: ({AB}{c} & {B}{c}) -> ¬{A}{b} fact4: ¬{A}{b} fact5: {B}{c} fact6: ¬{AB}{c} fact7: (¬{AA}{b} & {AB}{b}) -> ¬{B}{c} fact8: (¬{FD}{a} & {B}{a}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: (¬{AA}{b} & {AB}{b}); int1 & fact7 -> int2: ¬{B}{c}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã«ããŽã«ãLv.29ã¯å¢ãé£ããšããããšã¯ãªããããã«ããã¯æãæããªãããšããããšã¯èª€ãã§ãã | ¬(¬{B}{b} & ¬{D}{b}) | fact1: ããããã®ãœããœã¡ãLv.38ãéããæããªãã°ãã®ãŽã«ããŽã«ãLv.29ã¯å¢ãé£ããªã fact2: ä»®ã«ããã®ãŽã«ããŽã«ãLv.29ã¯åã³é£ããªãããããã¯å¢ãé£ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ãã§ãããšããããã®ãœããœã¡ãLv.38ã¯éããæããªã fact3: ãã®ãœããœã¡ãLv.38ã¯éããæã fact4: éããæããªãã¢ã³ã¹ã¿ãŒã¯åãé£ããªããå ããŠåŸãã£ãœããªã fact5: ããä»®ã«ãã®ãŽã«ããŽã«ãLv.29ãå¢ãé£ããªããšãããšããã¯å¢ãé£ããšããããšã¯ãªããããã«æãæããªã | fact1: {A}{a} -> ¬{B}{b} fact2: ¬(¬{C}{b} v ¬{B}{b}) -> ¬{A}{a} fact3: {A}{a} fact4: (x): ¬{A}x -> (¬{CJ}x & ¬{AG}x) fact5: ¬{B}{b} -> (¬{B}{b} & ¬{D}{b}) | [
"fact1 & fact3 -> int1: ãã®ãŽã«ããŽã«ãLv.29ã¯å¢ãé£ããªã; int1 & fact5 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ¬{B}{b}; int1 & fact5 -> hypothesis;"
] | ãã®ãœããœã¡ãLv.38ã¯åãé£ããšããããšã¯ãªããæŽã«ããã¯åŸãã£ãœããªã | (¬{CJ}{a} & ¬{AG}{a}) | [
"fact6 -> int2: ä»®ã«ãã®ãœããœã¡ãLv.38ãéããæããšããããšã¯ãªããªãã°ãã®ãœããœã¡ãLv.38ã¯åãé£ããªãããã€åŸãã£ãœããªã;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœããœã¡ãLv.38ãéããæããªãã°ãã®ãŽã«ããŽã«ãLv.29ã¯å¢ãé£ããªã fact2: ä»®ã«ããã®ãŽã«ããŽã«ãLv.29ã¯åã³é£ããªãããããã¯å¢ãé£ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ãã§ãããšããããã®ãœããœã¡ãLv.38ã¯éããæããªã fact3: ãã®ãœããœã¡ãLv.38ã¯éããæã fact4: éããæããªãã¢ã³ã¹ã¿ãŒã¯åãé£ããªããå ããŠåŸãã£ãœããªã fact5: ããä»®ã«ãã®ãŽã«ããŽã«ãLv.29ãå¢ãé£ããªããšãããšããã¯å¢ãé£ããšããããšã¯ãªããããã«æãæããªã ; $hypothesis$ = ããã®ãŽã«ããŽã«ãLv.29ã¯å¢ãé£ããšããããšã¯ãªããããã«ããã¯æãæããªãããšããããšã¯èª€ãã§ãã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãŽã«ããŽã«ãLv.29ã¯å¢ãé£ããªã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> ¬{B}{b} fact2: ¬(¬{C}{b} v ¬{B}{b}) -> ¬{A}{a} fact3: {A}{a} fact4: (x): ¬{A}x -> (¬{CJ}x & ¬{AG}x) fact5: ¬{B}{b} -> (¬{B}{b} & ¬{D}{b}) ; $hypothesis$ = ¬(¬{B}{b} & ¬{D}{b}) ; $proof$ = | fact1 & fact3 -> int1: ¬{B}{b}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãã·ã¡ãLv.2ã¯ç¥ãåãããããªãããšããããšã¯çå®ã | ¬{C}{a} | fact1: ä»®ã«ãã®ã·ãã·ã¡ãLv.2ã¯å¥ããæããªããšããããæ±ãããããããŸãã«ã§ããããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ã·ãã·ã¡ãLv.2ã¯åç·šãã fact3: ãããããã¢ã³ã¹ã¿ãŒãåç·šããªããªãããã¯ç¥ãåãããããããã«æ¶åãé£ã fact4: ãã®ã·ãã·ã¡ãLv.2ãæ¶åãé£ãããããåç·šãããªããã®ã·ãã·ã¡ãLv.2ã¯ç¥ãåãããããªã fact5: ãã®ã·ãã·ã¡ãLv.2ã¯æ¶åãé£ã fact6: ãã®ã·ãã·ã¡ãLv.2ãã§ãããªããšãããšãã®ãŽããŽã«Lv.19ã¯åç·šãããããŸãã«ç¥ãåãããã fact7: ãã®ã¿ãã¿ãLv.22ãã§ãããªããã©ãããå¥ããæããšããã°ãã®ã·ãã·ã¡ãLv.2ã¯åç·šããªã fact8: ããããšããã¢ã³ã¹ã¿ãŒã¯æ±ããããããã€ã§ããããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯ã§ãããªã | fact1: ¬{E}{a} -> ¬({F}{a} & {D}{a}) fact2: {B}{a} fact3: (x): ¬{B}x -> ({C}x & {A}x) fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} fact5: {A}{a} fact6: ¬{D}{a} -> ({B}{ht} & {C}{ht}) fact7: (¬{D}{b} & {E}{b}) -> ¬{B}{a} fact8: (x): ¬({F}x & {D}x) -> ¬{D}x | [
"fact5 & fact2 -> int1: ãã®ã·ãã·ã¡ãLv.2ã¯æ¶åãé£ããŠåç·šãã; int1 & fact4 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis;"
] | ãã®ãŽããŽã«Lv.19ã¯æ¶åãé£ã | {A}{ht} | [
"fact10 -> int2: ããä»®ã«ããã®ã·ãã·ã¡ãLv.2ã¯æ±ãããããããã«ããã¯ã§ããããšããããšã¯æãç«ããªããšããã°ãã®ã·ãã·ã¡ãLv.2ã¯ã§ãããªã;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ã¡ãLv.2ã¯å¥ããæããªããšããããæ±ãããããããŸãã«ã§ããããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ã·ãã·ã¡ãLv.2ã¯åç·šãã fact3: ãããããã¢ã³ã¹ã¿ãŒãåç·šããªããªãããã¯ç¥ãåãããããããã«æ¶åãé£ã fact4: ãã®ã·ãã·ã¡ãLv.2ãæ¶åãé£ãããããåç·šãããªããã®ã·ãã·ã¡ãLv.2ã¯ç¥ãåãããããªã fact5: ãã®ã·ãã·ã¡ãLv.2ã¯æ¶åãé£ã fact6: ãã®ã·ãã·ã¡ãLv.2ãã§ãããªããšãããšãã®ãŽããŽã«Lv.19ã¯åç·šãããããŸãã«ç¥ãåãããã fact7: ãã®ã¿ãã¿ãLv.22ãã§ãããªããã©ãããå¥ããæããšããã°ãã®ã·ãã·ã¡ãLv.2ã¯åç·šããªã fact8: ããããšããã¢ã³ã¹ã¿ãŒã¯æ±ããããããã€ã§ããããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯ã§ãããªã ; $hypothesis$ = ããã®ã·ãã·ã¡ãLv.2ã¯ç¥ãåãããããªãããšããããšã¯çå®ã ; $proof$ = | fact5 & fact2 -> int1: ãã®ã·ãã·ã¡ãLv.2ã¯æ¶åãé£ããŠåç·šãã; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E}{a} -> ¬({F}{a} & {D}{a}) fact2: {B}{a} fact3: (x): ¬{B}x -> ({C}x & {A}x) fact4: ({A}{a} & {B}{a}) -> ¬{C}{a} fact5: {A}{a} fact6: ¬{D}{a} -> ({B}{ht} & {C}{ht}) fact7: (¬{D}{b} & {E}{b}) -> ¬{B}{a} fact8: (x): ¬({F}x & {D}x) -> ¬{D}x ; $hypothesis$ = ¬{C}{a} ; $proof$ = | fact5 & fact2 -> int1: ({A}{a} & {B}{a}); int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœãLv.37ã¯ç解ãé£ããæºãŸãæããªã | ({AA}{a} & ¬{AB}{a}) | fact1: ã©ãããŠã欲ããã¢ã³ã¹ã¿ãŒã¯æ身ãã fact2: ãã®ãœããœãLv.37ã¯ç解ãé£ã fact3: ãããã®ãœããœãLv.37ãç解ãé£ããªããšããããã®ãã«ããªLv.58ã¯ã©ãããŠã欲ãã fact4: ãã®ãœããœãLv.37ãã©ãããŠã欲ãããªãã°ãã®ãŸã«ãŸã¡ãLv.22ã¯ã©ãããŠã欲ãã fact5: ä»®ã«ããã®ãœããœãLv.37ã¯ç解ãé£ãããã©æºãŸãæããªãããšããããšã¯æãç«ããªããšããã°ãã®ãã«ããªLv.58ã¯ã©ãããŠã欲ãã fact6: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç±ã£ãœããªããŠãã®äžã©ãããŠã欲ãããªãããšããããšã¯ééãã§ãããšãããã©ãããŠã欲ãã fact7: ããããã®ãã«ããªLv.58ãã©ãããŠã欲ãããšããããã®ãœã«ã
ãœã¡ã
Lv.79ã¯æ身ãã | fact1: (x): {B}x -> {A}x fact2: {AA}{a} fact3: ¬{AA}{a} -> {B}{b} fact4: {B}{a} -> {B}{ie} fact5: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact6: (x): ¬(¬{C}x & ¬{B}x) -> {B}x fact7: {B}{b} -> {A}{c} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãœããœãLv.37ã¯ç解ãé£ãããããæºãŸãæããªãããšããããšã¯äºå®ãšç°ãªã; fact5 & assump1 -> int1: ãã®ãã«ããªLv.58ã¯ã©ãããŠã欲ãã; int1 & fact7 -> int2: ãã®ãœã«ã
ãœã¡ã
Lv.79ã¯æ身ãã;"
] | [
"void -> assump1: ¬({AA}{a} & ¬{AB}{a}); fact5 & assump1 -> int1: {B}{b}; int1 & fact7 -> int2: {A}{c};"
] | ãã®ãŸã«ãŸã¡ãLv.22ã¯æ身ãã | {A}{ie} | [
"fact10 -> int3: ããããã®ãŸã«ãŸã¡ãLv.22ãã©ãããŠã欲ãããšãããšãã®ãŸã«ãŸã¡ãLv.22ã¯æ身ãã; fact8 -> int4: ããããã®ãœããœãLv.37ã¯ç±ã£ãœããšããããšã¯ãªããŠã©ãããŠã欲ãããªãããšããããšã¯æãç«ããªããšããããã®ãœããœãLv.37ã¯ã©ãããŠã欲ãã;"
] | 5 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã©ãããŠã欲ããã¢ã³ã¹ã¿ãŒã¯æ身ãã fact2: ãã®ãœããœãLv.37ã¯ç解ãé£ã fact3: ãããã®ãœããœãLv.37ãç解ãé£ããªããšããããã®ãã«ããªLv.58ã¯ã©ãããŠã欲ãã fact4: ãã®ãœããœãLv.37ãã©ãããŠã欲ãããªãã°ãã®ãŸã«ãŸã¡ãLv.22ã¯ã©ãããŠã欲ãã fact5: ä»®ã«ããã®ãœããœãLv.37ã¯ç解ãé£ãããã©æºãŸãæããªãããšããããšã¯æãç«ããªããšããã°ãã®ãã«ããªLv.58ã¯ã©ãããŠã欲ãã fact6: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç±ã£ãœããªããŠãã®äžã©ãããŠã欲ãããªãããšããããšã¯ééãã§ãããšãããã©ãããŠã欲ãã fact7: ããããã®ãã«ããªLv.58ãã©ãããŠã欲ãããšããããã®ãœã«ã
ãœã¡ã
Lv.79ã¯æ身ãã ; $hypothesis$ = ãã®ãœããœãLv.37ã¯ç解ãé£ããæºãŸãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: {AA}{a} fact3: ¬{AA}{a} -> {B}{b} fact4: {B}{a} -> {B}{ie} fact5: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact6: (x): ¬(¬{C}x & ¬{B}x) -> {B}x fact7: {B}{b} -> {A}{c} ; $hypothesis$ = ({AA}{a} & ¬{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.68ã¯çšè¿ã | {C}{b} | fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯èããªããšããã°ãå·ãããŠå²ãããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ãŸããŸã®Lv.43ã¯å·ä»ãæããªã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãå·ä»ãæããšãããšçšè¿ã fact4: ãããã®ã·ãã·ã«ã
Lv.65ãå²ããªããšãããšããã¯èããšããããšã¯ãªããŠå²ããªã fact5: ããã®ã·ãã·ã«ã
Lv.65ã¯èããªããŠããã¯å²ããªãããšããããšã¯æ£ãããšããã°ãã®ããããLv.68ã¯çšè¿ããªã fact6: èãããªãã¢ã³ã¹ã¿ãŒã¯å·ä»ãæããã©å²ããªã fact7: ãã®ãŸããŸã®Lv.43ã¯å·ä»ãæããªããªãããã®ã·ãã·ã«ã
Lv.65ã¯åŸ¡å¿ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠèŸãããšããããšã¯æãç«ããªã fact8: ããä»®ã«ããã®ã·ãã·ã«ã
Lv.65ã¯åŸ¡å¿ããããããèŸãããšããããšã¯èª€ããªãã°ãã®ã·ãã·ã«ã
Lv.65ã¯å²ããšããããšã¯ãªã | fact1: (x): ¬{A}x -> ¬({IQ}x & {B}x) fact2: ¬{D}{c} fact3: (x): {D}x -> {C}x fact4: ¬{B}{a} -> (¬{A}{a} & ¬{B}{a}) fact5: (¬{A}{a} & ¬{B}{a}) -> ¬{C}{b} fact6: (x): ¬{E}x -> ({D}x & ¬{B}x) fact7: ¬{D}{c} -> ¬({AA}{a} & {AB}{a}) fact8: ¬({AA}{a} & {AB}{a}) -> ¬{B}{a} | [
"fact7 & fact2 -> int1: ããã®ã·ãã·ã«ã
Lv.65ã¯åŸ¡å¿ãããŠããã«èŸãããšããããšã¯äºå®ãšç°ãªã; fact8 & int1 -> int2: ãã®ã·ãã·ã«ã
Lv.65ã¯å²ããªã; int2 & fact4 -> int3: ãã®ã·ãã·ã«ã
Lv.65ã¯èããšããããšã¯ãªããŠããã«å²ããªã; int3 & fact5 -> hypothesis;"
] | [
"fact7 & fact2 -> int1: ¬({AA}{a} & {AB}{a}); fact8 & int1 -> int2: ¬{B}{a}; int2 & fact4 -> int3: (¬{A}{a} & ¬{B}{a}); int3 & fact5 -> hypothesis;"
] | ãã®ããããLv.68ã¯çšè¿ã | {C}{b} | [
"fact9 -> int4: ä»®ã«ãã®ããããLv.68ãèãããªããšãããå·ä»ãæãããããããã¯å²ããªã;"
] | 5 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯èããªããšããã°ãå·ãããŠå²ãããšããããšã¯äºå®ãšç°ãªã fact2: ãã®ãŸããŸã®Lv.43ã¯å·ä»ãæããªã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãå·ä»ãæããšãããšçšè¿ã fact4: ãããã®ã·ãã·ã«ã
Lv.65ãå²ããªããšãããšããã¯èããšããããšã¯ãªããŠå²ããªã fact5: ããã®ã·ãã·ã«ã
Lv.65ã¯èããªããŠããã¯å²ããªãããšããããšã¯æ£ãããšããã°ãã®ããããLv.68ã¯çšè¿ããªã fact6: èãããªãã¢ã³ã¹ã¿ãŒã¯å·ä»ãæããã©å²ããªã fact7: ãã®ãŸããŸã®Lv.43ã¯å·ä»ãæããªããªãããã®ã·ãã·ã«ã
Lv.65ã¯åŸ¡å¿ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠèŸãããšããããšã¯æãç«ããªã fact8: ããä»®ã«ããã®ã·ãã·ã«ã
Lv.65ã¯åŸ¡å¿ããããããèŸãããšããããšã¯èª€ããªãã°ãã®ã·ãã·ã«ã
Lv.65ã¯å²ããšããããšã¯ãªã ; $hypothesis$ = ãã®ããããLv.68ã¯çšè¿ã ; $proof$ = | fact7 & fact2 -> int1: ããã®ã·ãã·ã«ã
Lv.65ã¯åŸ¡å¿ãããŠããã«èŸãããšããããšã¯äºå®ãšç°ãªã; fact8 & int1 -> int2: ãã®ã·ãã·ã«ã
Lv.65ã¯å²ããªã; int2 & fact4 -> int3: ãã®ã·ãã·ã«ã
Lv.65ã¯èããšããããšã¯ãªããŠããã«å²ããªã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({IQ}x & {B}x) fact2: ¬{D}{c} fact3: (x): {D}x -> {C}x fact4: ¬{B}{a} -> (¬{A}{a} & ¬{B}{a}) fact5: (¬{A}{a} & ¬{B}{a}) -> ¬{C}{b} fact6: (x): ¬{E}x -> ({D}x & ¬{B}x) fact7: ¬{D}{c} -> ¬({AA}{a} & {AB}{a}) fact8: ¬({AA}{a} & {AB}{a}) -> ¬{B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact7 & fact2 -> int1: ¬({AA}{a} & {AB}{a}); fact8 & int1 -> int2: ¬{B}{a}; int2 & fact4 -> int3: (¬{A}{a} & ¬{B}{a}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | è¡åè¯ããšããããšãèµ·ãã | {A} | fact1: ã奪éããããšãçããªããŠãªãããšããããšã¯çºçããããšããããšã¯ãè¡åè¯ããšããããšã¯çããªãããšããããšãåé¿ãã fact2: ããã奪éããããšã¯èµ·ããªãããªãããšããããšã¯çºçããªããªãã°è¡åè¯ããšããããšãèµ·ãã fact3: ãããããŸã¡ã
ãŸãLv.97äºä»¶ã¯çºçããããœã«ã
ãœãLv.47äºä»¶ã¯èµ·ãããªãããšããããšã¯èª€ãã ãšãããšè¡åè¯ããšããããšã¯çããªã fact4: ãªãããšããããšã¯ããœã«ã
ãœãLv.47äºä»¶ãèµ·ããããšããããšãèªçºãã fact5: ãªãããšããããšã¯èµ·ããªã fact6: ã奪éããããšã§ã¯ãªããŠãªãããšããããšãçºçããããšããããšã¯èª€ã£ãŠãã fact7: ããä»®ã«ã奪éããããšã¯èµ·ãããªããŠæŽã«ãªãããšããããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšãããšãœã«ã
ãœãLv.47äºä»¶ãèµ·ãã | fact1: (¬{AA} & {AB}) -> {A} fact2: (¬{AA} & ¬{AB}) -> {A} fact3: ¬({C} & ¬{B}) -> ¬{A} fact4: {AB} -> {B} fact5: ¬{AB} fact6: ¬(¬{AA} & {AB}) fact7: ¬(¬{AA} & ¬{AB}) -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã奪éããããšã¯çããªããããŸãã«ãªãããšããããšã¯èµ·ããªãããšããããšã¯ééãã ; fact7 & assump1 -> int1: ãœã«ã
ãœãLv.47äºä»¶ãèµ·ãã;"
] | [
"void -> assump1: ¬(¬{AA} & ¬{AB}); fact7 & assump1 -> int1: {B};"
] | è¡åè¯ããšããããšã¯çããªã | ¬{A} | [] | 6 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã奪éããããšãçããªããŠãªãããšããããšã¯çºçããããšããããšã¯ãè¡åè¯ããšããããšã¯çããªãããšããããšãåé¿ãã fact2: ããã奪éããããšã¯èµ·ããªãããªãããšããããšã¯çºçããªããªãã°è¡åè¯ããšããããšãèµ·ãã fact3: ãããããŸã¡ã
ãŸãLv.97äºä»¶ã¯çºçããããœã«ã
ãœãLv.47äºä»¶ã¯èµ·ãããªãããšããããšã¯èª€ãã ãšãããšè¡åè¯ããšããããšã¯çããªã fact4: ãªãããšããããšã¯ããœã«ã
ãœãLv.47äºä»¶ãèµ·ããããšããããšãèªçºãã fact5: ãªãããšããããšã¯èµ·ããªã fact6: ã奪éããããšã§ã¯ãªããŠãªãããšããããšãçºçããããšããããšã¯èª€ã£ãŠãã fact7: ããä»®ã«ã奪éããããšã¯èµ·ãããªããŠæŽã«ãªãããšããããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšãããšãœã«ã
ãœãLv.47äºä»¶ãèµ·ãã ; $hypothesis$ = è¡åè¯ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA} & {AB}) -> {A} fact2: (¬{AA} & ¬{AB}) -> {A} fact3: ¬({C} & ¬{B}) -> ¬{A} fact4: {AB} -> {B} fact5: ¬{AB} fact6: ¬(¬{AA} & {AB}) fact7: ¬(¬{AA} & ¬{AB}) -> {B} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ãã·ã«ãLv.8äºä»¶ã§ã¯ãªãèšããããšãçãã | (¬{A} & {B}) | fact1: èšããããšãèµ·ãã fact2: ä»®ã«ã·ãã·ã«ãLv.8äºä»¶ãèµ·ãããªããã¿ãªã¿ãLv.90äºä»¶ãçºçããäžæ¹ã§æãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«é€ãããšãèµ·ãããšããã°ãã·ãã·ã«ãLv.8äºä»¶ã§ã¯ãªãèšããããšãçããããšããããšã¯åœã§ãã | fact1: {B} fact2: {A} -> ¬({AA} & ¬{AB}) fact3: {C} -> ¬(¬{A} & {B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã«ãLv.8äºä»¶ãèµ·ãã; fact2 & assump1 -> int1: ãã¿ãªã¿ãLv.90äºä»¶ãèµ·ããããã©æãé£ããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã;"
] | [
"void -> assump1: {A}; fact2 & assump1 -> int1: ¬({AA} & ¬{AB});"
] | ãã·ãã·ã«ãLv.8äºä»¶ã§ã¯ãªãèšããããšãèµ·ããããšããããšã¯åã | ¬(¬{A} & {B}) | [] | 6 | 5 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èšããããšãèµ·ãã fact2: ä»®ã«ã·ãã·ã«ãLv.8äºä»¶ãèµ·ãããªããã¿ãªã¿ãLv.90äºä»¶ãçºçããäžæ¹ã§æãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«é€ãããšãèµ·ãããšããã°ãã·ãã·ã«ãLv.8äºä»¶ã§ã¯ãªãèšããããšãçããããšããããšã¯åœã§ãã ; $hypothesis$ = ã·ãã·ã«ãLv.8äºä»¶ã§ã¯ãªãèšããããšãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: {A} -> ¬({AA} & ¬{AB}) fact3: {C} -> ¬(¬{A} & {B}) ; $hypothesis$ = (¬{A} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ããŽã®Lv.13ã¯ã¡ã£ã¡ãã | {F}{c} | fact1: ãããã®ã¿ãã¿ãLv.9ãèªã¿åãåºæ¥ããã©å¥¥æ·±ããªããšããããã®ãŽã«ããŽã®Lv.13ã¯ã¡ã£ã¡ãã fact2: ãã®ãŽããŽãLv.91ã¯èŠåºã ãé£ããŠèµ€ã£ãœã fact3: ããããã®ãŽããŽãLv.91ãçŽè»ããã°ãã®ã¿ãã¿ãLv.9ã¯èªã¿åãåºæ¥ããšããããšã¯ãªã fact4: ãã®ãŽããŽãLv.91ãèµ€ã£ãœããšãããšçŽè»ãã fact5: ãã®ã¿ãã¿ãLv.9ãèªã¿åãåºæ¥ãªããšããã°èªã¿åãåºæ¥ãªãã奥深ããªã fact6: ããããã®ã¿ãã¿ãLv.9ãèªã¿åãåºæ¥ãªããããã«ããã奥深ããªããšãããšãã®ãŽã«ããŽã®Lv.13ã¯ã¡ã£ã¡ãã fact7: èµ€ã£ãœããªãã¢ã³ã¹ã¿ãŒã¯åžåããæããŠèŠåºã ãé£ã | fact1: ({D}{b} & ¬{E}{b}) -> {F}{c} fact2: ({A}{a} & {B}{a}) fact3: {C}{a} -> ¬{D}{b} fact4: {B}{a} -> {C}{a} fact5: ¬{D}{b} -> (¬{D}{b} & ¬{E}{b}) fact6: (¬{D}{b} & ¬{E}{b}) -> {F}{c} fact7: (x): ¬{B}x -> ({HM}x & {A}x) | [
"fact2 -> int1: ããã®ãŽããŽãLv.91ã¯èµ€ã£ãœãããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ãã®ãŽããŽãLv.91ã¯çŽè»ãã; int2 & fact3 -> int3: ãã®ã¿ãã¿ãLv.9ã¯èªã¿åãåºæ¥ãªã; int3 & fact5 -> int4: ããã®ã¿ãã¿ãLv.9ã¯èªã¿åãåºæ¥ãªããããã«å¥¥æ·±ããªãããšããããšã¯æãç«ã€; int4 & fact6 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{a}; int2 & fact3 -> int3: ¬{D}{b}; int3 & fact5 -> int4: (¬{D}{b} & ¬{E}{b}); int4 & fact6 -> hypothesis;"
] | ãã®ãŽããŽãLv.91ã¯åžåããæããèªã¿åãåºæ¥ã | ({HM}{a} & {D}{a}) | [
"fact8 -> int5: ä»®ã«ãã®ãŽããŽãLv.91ãèµ€ã£ãœããšããããšã¯ãªããªãåžåããæããŠèŠåºã ãé£ã;"
] | 4 | 5 | 5 | 5 | 5 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ã¿ãã¿ãLv.9ãèªã¿åãåºæ¥ããã©å¥¥æ·±ããªããšããããã®ãŽã«ããŽã®Lv.13ã¯ã¡ã£ã¡ãã fact2: ãã®ãŽããŽãLv.91ã¯èŠåºã ãé£ããŠèµ€ã£ãœã fact3: ããããã®ãŽããŽãLv.91ãçŽè»ããã°ãã®ã¿ãã¿ãLv.9ã¯èªã¿åãåºæ¥ããšããããšã¯ãªã fact4: ãã®ãŽããŽãLv.91ãèµ€ã£ãœããšãããšçŽè»ãã fact5: ãã®ã¿ãã¿ãLv.9ãèªã¿åãåºæ¥ãªããšããã°èªã¿åãåºæ¥ãªãã奥深ããªã fact6: ããããã®ã¿ãã¿ãLv.9ãèªã¿åãåºæ¥ãªããããã«ããã奥深ããªããšãããšãã®ãŽã«ããŽã®Lv.13ã¯ã¡ã£ã¡ãã fact7: èµ€ã£ãœããªãã¢ã³ã¹ã¿ãŒã¯åžåããæããŠèŠåºã ãé£ã ; $hypothesis$ = ãã®ãŽã«ããŽã®Lv.13ã¯ã¡ã£ã¡ãã ; $proof$ = | fact2 -> int1: ããã®ãŽããŽãLv.91ã¯èµ€ã£ãœãããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ãã®ãŽããŽãLv.91ã¯çŽè»ãã; int2 & fact3 -> int3: ãã®ã¿ãã¿ãLv.9ã¯èªã¿åãåºæ¥ãªã; int3 & fact5 -> int4: ããã®ã¿ãã¿ãLv.9ã¯èªã¿åãåºæ¥ãªããããã«å¥¥æ·±ããªãããšããããšã¯æãç«ã€; int4 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ({D}{b} & ¬{E}{b}) -> {F}{c} fact2: ({A}{a} & {B}{a}) fact3: {C}{a} -> ¬{D}{b} fact4: {B}{a} -> {C}{a} fact5: ¬{D}{b} -> (¬{D}{b} & ¬{E}{b}) fact6: (¬{D}{b} & ¬{E}{b}) -> {F}{c} fact7: (x): ¬{B}x -> ({HM}x & {A}x) ; $hypothesis$ = {F}{c} ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{a}; int2 & fact3 -> int3: ¬{D}{b}; int3 & fact5 -> int4: (¬{D}{b} & ¬{E}{b}); int4 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããããã®ã¿ãã¿ãLv.5ãå£æãããªããªããã®ãŽã«ããŽã«Lv.64ã¯ããã©èããããã«ã§ã£ãã | ¬{A}{a} -> ({B}{b} & {C}{b}) | fact1: ä»®ã«ãã®ã¿ãã¿ãLv.5ãå£æãããªããªãã°ãã®ãŽã«ããŽã«Lv.64ã¯ããã©èã fact2: ãã®ãŽã«ããŽã«Lv.64ã¯ã§ã£ãã | fact1: ¬{A}{a} -> {B}{b} fact2: {C}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ãLv.5ã¯å£æãããªã; fact1 & assump1 -> int1: ããã®ãŽã«ããŽã«Lv.64ã¯ããã©èãããšããããšã¯æãç«ã€; int1 & fact2 -> int2: ãã®ãŽã«ããŽã«Lv.64ã¯ããã©èããããã¯ã§ã£ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: ({B}{b} & {C}{b}); [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ãLv.5ãå£æãããªããªãã°ãã®ãŽã«ããŽã«Lv.64ã¯ããã©èã fact2: ãã®ãŽã«ããŽã«Lv.64ã¯ã§ã£ãã ; $hypothesis$ = ããããã®ã¿ãã¿ãLv.5ãå£æãããªããªããã®ãŽã«ããŽã«Lv.64ã¯ããã©èããããã«ã§ã£ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ãLv.5ã¯å£æãããªã; fact1 & assump1 -> int1: ããã®ãŽã«ããŽã«Lv.64ã¯ããã©èãããšããããšã¯æãç«ã€; int1 & fact2 -> int2: ãã®ãŽã«ããŽã«Lv.64ã¯ããã©èããããã¯ã§ã£ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> {B}{b} fact2: {C}{b} ; $hypothesis$ = ¬{A}{a} -> ({B}{b} & {C}{b}) ; $proof$ = | void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: {B}{b}; int1 & fact2 -> int2: ({B}{b} & {C}{b}); [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ãèšãé£ããšããããšãšæ¿æããããšãèµ·ããããšããããšã¯èª€ãã | ¬({A} & {B}) | fact1: ããã«ã
ãã«ã
Lv.78äºä»¶ãçããäžæ¹ã§ãŸã«ããŸãLv.41äºä»¶ã¯èµ·ãããªãããšããããšã¯äºå®ã§ãªã fact2: èšãé£ããšããããšã¯èµ·ãããªããªãã°ããã«ã
ãã«ã
Lv.78äºä»¶ãèµ·ããªããŠããããŸã«ããŸãLv.41äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact3: ãã«ã
ãã«ã
Lv.78äºä»¶ãèµ·ããªãããŸããŸã«ããŸãLv.41äºä»¶ã¯çããªã fact4: ããä»®ã«ã²ããé·ããšããããšã¯çããªããšãããšãã·ãã·ã«ãLv.14äºä»¶ã¯çããªããå ããŠã¡ã£ãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã fact5: æ¿æããããšãçºçãã | fact1: ¬({AA} & ¬{AB}) fact2: ¬{A} -> ¬(¬{AA} & ¬{AB}) fact3: (¬{AA} & ¬{AB}) fact4: ¬{DI} -> ¬(¬{HL} & ¬{GH}) fact5: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããèšãé£ããšããããšã¯èµ·ããªã; fact2 & assump1 -> int1: ããã«ã
ãã«ã
Lv.78äºä»¶ã¯çããªããŠãŸã«ããŸãLv.41äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: èšãé£ããšããããšãçãã; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact2 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã«ã
ãã«ã
Lv.78äºä»¶ãçããäžæ¹ã§ãŸã«ããŸãLv.41äºä»¶ã¯èµ·ãããªãããšããããšã¯äºå®ã§ãªã fact2: èšãé£ããšããããšã¯èµ·ãããªããªãã°ããã«ã
ãã«ã
Lv.78äºä»¶ãèµ·ããªããŠããããŸã«ããŸãLv.41äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact3: ãã«ã
ãã«ã
Lv.78äºä»¶ãèµ·ããªãããŸããŸã«ããŸãLv.41äºä»¶ã¯çããªã fact4: ããä»®ã«ã²ããé·ããšããããšã¯çããªããšãããšãã·ãã·ã«ãLv.14äºä»¶ã¯çããªããå ããŠã¡ã£ãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã fact5: æ¿æããããšãçºçãã ; $hypothesis$ = ãèšãé£ããšããããšãšæ¿æããããšãèµ·ããããšããããšã¯èª€ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããèšãé£ããšããããšã¯èµ·ããªã; fact2 & assump1 -> int1: ããã«ã
ãã«ã
Lv.78äºä»¶ã¯çããªããŠãŸã«ããŸãLv.41äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: èšãé£ããšããããšãçãã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA} & ¬{AB}) fact2: ¬{A} -> ¬(¬{AA} & ¬{AB}) fact3: (¬{AA} & ¬{AB}) fact4: ¬{DI} -> ¬(¬{HL} & ¬{GH}) fact5: {B} ; $hypothesis$ = ¬({A} & {B}) ; $proof$ = | void -> assump1: ¬{A}; fact2 & assump1 -> int1: ¬(¬{AA} & ¬{AB}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããã©éããªãããšããããšã¯åœã§ããããšããããšã¯èª€ãã§ãªã | ¬({A}{a} & ¬{B}{a}) | fact1: ãããã®ã·ãã·ã¡ã
Lv.42ã¯åŸ¡åãç¡ããšããããšã¯ãªããšãããããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããã©éããªãããšããããšã¯åœã fact2: ãã®ãŽããŽãLv.36ã¯éã fact3: ãã®ã·ã¡ãã·ã«ãLv.43ã¯éããªã fact4: ä»®ã«ãã®ã·ãã·ã¡ã
Lv.42ãäŒè©±ããããªããã®ã·ã¡ãã·ã«ãLv.43ã¯äŒè©±ããã fact5: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãæšããšããã°äŒè©±ããã fact6: ããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããšããããšã¯ç¢ºãã§ãã | fact1: ¬{C}{b} -> ¬({A}{a} & ¬{B}{a}) fact2: {B}{gm} fact3: ¬{B}{a} fact4: {IC}{b} -> {IC}{a} fact5: (x): {A}x -> {IC}x fact6: {A}{a} | [
"fact6 -> int1: ããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããšããããšã¯ç¢ºãã§ãã; int1 & fact3 -> hypothesis;"
] | [
"fact6 -> int1: {A}{a}; int1 & fact3 -> hypothesis;"
] | ãã®ã·ã¡ãã·ã«ãLv.43ã¯äŒè©±ãããããã€ç¡ããªã | ({IC}{a} & ¬{ID}{a}) | [
"fact7 -> int2: ãã®ã·ãã·ã¡ã
Lv.42ãæšããªãã°ããã¯äŒè©±ããã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã·ãã·ã¡ã
Lv.42ã¯åŸ¡åãç¡ããšããããšã¯ãªããšãããããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããã©éããªãããšããããšã¯åœã fact2: ãã®ãŽããŽãLv.36ã¯éã fact3: ãã®ã·ã¡ãã·ã«ãLv.43ã¯éããªã fact4: ä»®ã«ãã®ã·ãã·ã¡ã
Lv.42ãäŒè©±ããããªããã®ã·ã¡ãã·ã«ãLv.43ã¯äŒè©±ããã fact5: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãæšããšããã°äŒè©±ããã fact6: ããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããšããããšã¯ç¢ºãã§ãã ; $hypothesis$ = ãããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããã©éããªãããšããããšã¯åœã§ããããšããããšã¯èª€ãã§ãªã ; $proof$ = | fact6 -> int1: ããã®ã·ã¡ãã·ã«ãLv.43ã¯æšãããšããããšã¯ç¢ºãã§ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C}{b} -> ¬({A}{a} & ¬{B}{a}) fact2: {B}{gm} fact3: ¬{B}{a} fact4: {IC}{b} -> {IC}{a} fact5: (x): {A}x -> {IC}x fact6: {A}{a} ; $hypothesis$ = ¬({A}{a} & ¬{B}{a}) ; $proof$ = | fact6 -> int1: {A}{a}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ãã«ã
Lv.28äºä»¶ãèµ·ãããæ
ãšããããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ã€ | ¬({D} & {C}) | fact1: ããŸããŸãLv.89äºä»¶ãèµ·ããããšããããšã¯è©°ãããšã¯çºçããªããšããããšãé»ã fact2: ãããŸããŸã¡ãLv.87äºä»¶ãçããªããªãã°ããããLv.79äºä»¶ã¯èµ·ããªããŠå ããŠèžãæããšããããšã¯çããªã fact3: ãŸããŸã¡ãLv.87äºä»¶ãçãã fact4: ããŸããŸã¡ãLv.87äºä»¶ãèµ·ãããªãããŸãã¯çŽãããããšããããšã¯çºçããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact5: ããããLv.79äºä»¶ã¯æ
ãšããããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact6: ãããèžãæããšããããšã¯çããªããšããã°ããã®ãã«ã
Lv.28äºä»¶ãšæ
ãšããããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact7: ãã®ãã«ã
Lv.28äºä»¶ãèµ·ãã fact8: ãããããŸããŸã¡ãLv.87äºä»¶ã¯çããªããçŽãããããšããããšãèµ·ããããããã¯äž¡æ¹ã ããšããããšã¯ééãã§ãããªãèžãæããšããããšãèµ·ãã | fact1: {JG} -> {L} fact2: ¬{E} -> (¬{B} & ¬{A}) fact3: {E} fact4: ¬(¬{E} v {F}) fact5: {B} -> {C} fact6: ¬{A} -> ¬({D} & {C}) fact7: {D} fact8: ¬(¬{E} v {F}) -> {A} | [
"fact8 & fact4 -> int1: èžãæããšããããšãçºçãã;"
] | [
"fact8 & fact4 -> int1: {A};"
] | ãããã®ãã«ã
Lv.28äºä»¶ãèµ·ãããæ
ãšããããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ã€ | ¬({D} & {C}) | [] | 6 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŸããŸãLv.89äºä»¶ãèµ·ããããšããããšã¯è©°ãããšã¯çºçããªããšããããšãé»ã fact2: ãããŸããŸã¡ãLv.87äºä»¶ãçããªããªãã°ããããLv.79äºä»¶ã¯èµ·ããªããŠå ããŠèžãæããšããããšã¯çããªã fact3: ãŸããŸã¡ãLv.87äºä»¶ãçãã fact4: ããŸããŸã¡ãLv.87äºä»¶ãèµ·ãããªãããŸãã¯çŽãããããšããããšã¯çºçããããããã¯äž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact5: ããããLv.79äºä»¶ã¯æ
ãšããããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact6: ãããèžãæããšããããšã¯çããªããšããã°ããã®ãã«ã
Lv.28äºä»¶ãšæ
ãšããããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact7: ãã®ãã«ã
Lv.28äºä»¶ãèµ·ãã fact8: ãããããŸããŸã¡ãLv.87äºä»¶ã¯çããªããçŽãããããšããããšãèµ·ããããããã¯äž¡æ¹ã ããšããããšã¯ééãã§ãããªãèžãæããšããããšãèµ·ãã ; $hypothesis$ = ãããã®ãã«ã
Lv.28äºä»¶ãèµ·ãããæ
ãšããããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {JG} -> {L} fact2: ¬{E} -> (¬{B} & ¬{A}) fact3: {E} fact4: ¬(¬{E} v {F}) fact5: {B} -> {C} fact6: ¬{A} -> ¬({D} & {C}) fact7: {D} fact8: ¬(¬{E} v {F}) -> {A} ; $hypothesis$ = ¬({D} & {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽãªãŽã«ãLv.29ã¯ãã€ãã£ãããã | {E}{c} | fact1: ããä»®ã«ãã®ã·ãã·ã¡ã
Lv.76ãæ¯ãæãããšããããã®ã¿ãã¿ã«ãLv.85ã¯ç解ãé£ã fact2: ãã®ã·ãã·ã¡ã
Lv.76ã¯åŸãã£ãœã fact3: ãã®ã·ãã·ã¡ã
Lv.76ã¯åŸãã£ãœããããã¯æ¯ãæãã fact4: ãã®ã¿ãã¿ã«ãLv.85ãç解ãé£ããšããããã®ãŽãªãŽã«ãLv.29ã¯ç¶èŠªããã fact5: ãããããã®ãŽãªãŽã«ãLv.29ã¯ç¶èŠªããããªãã°ããã®ãŽãªãŽã«ãLv.29ã¯ãã€ãã£ããããããšããããšã¯æãç«ã€ããšããããšã¯ç¢ºãã | fact1: {B}{a} -> {C}{b} fact2: {A}{a} fact3: ({A}{a} & {B}{a}) fact4: {C}{b} -> {D}{c} fact5: {D}{c} -> {E}{c} | [
"fact3 -> int1: ãã®ã·ãã·ã¡ã
Lv.76ã¯æ¯ãæãã; int1 & fact1 -> int2: ãã®ã¿ãã¿ã«ãLv.85ã¯ç解ãé£ã; int2 & fact4 -> int3: ãã®ãŽãªãŽã«ãLv.29ã¯ç¶èŠªããã; int3 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> int3: {D}{c}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ã·ãã·ã¡ã
Lv.76ãæ¯ãæãããšããããã®ã¿ãã¿ã«ãLv.85ã¯ç解ãé£ã fact2: ãã®ã·ãã·ã¡ã
Lv.76ã¯åŸãã£ãœã fact3: ãã®ã·ãã·ã¡ã
Lv.76ã¯åŸãã£ãœããããã¯æ¯ãæãã fact4: ãã®ã¿ãã¿ã«ãLv.85ãç解ãé£ããšããããã®ãŽãªãŽã«ãLv.29ã¯ç¶èŠªããã fact5: ãããããã®ãŽãªãŽã«ãLv.29ã¯ç¶èŠªããããªãã°ããã®ãŽãªãŽã«ãLv.29ã¯ãã€ãã£ããããããšããããšã¯æãç«ã€ããšããããšã¯ç¢ºãã ; $hypothesis$ = ãã®ãŽãªãŽã«ãLv.29ã¯ãã€ãã£ãããã ; $proof$ = | fact3 -> int1: ãã®ã·ãã·ã¡ã
Lv.76ã¯æ¯ãæãã; int1 & fact1 -> int2: ãã®ã¿ãã¿ã«ãLv.85ã¯ç解ãé£ã; int2 & fact4 -> int3: ãã®ãŽãªãŽã«ãLv.29ã¯ç¶èŠªããã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {A}{a} fact3: ({A}{a} & {B}{a}) fact4: {C}{b} -> {D}{c} fact5: {D}{c} -> {E}{c} ; $hypothesis$ = {E}{c} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> int3: {D}{c}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããããªLv.22äºä»¶ã¯çºçããªã | ¬{A} | fact1: å·ãæããšããããšã¯çããªã fact2: 人éããããšããããšãèµ·ããäžæ¹ã§èæ±ããšããããšã¯èµ·ãããªã fact3: å·ãæããšããããšã¯ãå
èŠãããšããããšãçããããŽããŽãLv.2äºä»¶ã¯çããªãããšããããšã«ããçºçãã fact4: ãããããããªLv.22äºä»¶ãèµ·ããããšããããšã¯æ¬åœã ãšããã°å
èŠãããšããããšãèµ·ãããããããŽããŽãLv.2äºä»¶ã¯çºçããªã fact5: ããããªLv.22äºä»¶ããããã¯å·ãæããšããããšããããã¯äž¡æ¹ã¯æç·©ããšããããšãé»æ¢ãã fact6: ã埡詳ãããšããããšã¯çºçããªãããšããããšã¯ããããªLv.22äºä»¶ããããã¯å·ãæããšããããšãçºçããã | fact1: ¬{B} fact2: ({IK} & ¬{BB}) fact3: ({AA} & ¬{AB}) -> {B} fact4: {A} -> ({AA} & ¬{AB}) fact5: ({A} v {B}) -> ¬{CP} fact6: ¬{C} -> ({A} v {B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããããªLv.22äºä»¶ãçãã; fact4 & assump1 -> int1: å
èŠãããšããããšãèµ·ããããŽããŽãLv.2äºä»¶ã¯çããªã; int1 & fact3 -> int2: å·ãæããšããããšãçºçãã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact4 & assump1 -> int1: ({AA} & ¬{AB}); int1 & fact3 -> int2: {B}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãæç·©ããšããããšãèµ·ããããšããããšã¯èª€ãã | ¬{CP} | [] | 7 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å·ãæããšããããšã¯çããªã fact2: 人éããããšããããšãèµ·ããäžæ¹ã§èæ±ããšããããšã¯èµ·ãããªã fact3: å·ãæããšããããšã¯ãå
èŠãããšããããšãçããããŽããŽãLv.2äºä»¶ã¯çããªãããšããããšã«ããçºçãã fact4: ãããããããªLv.22äºä»¶ãèµ·ããããšããããšã¯æ¬åœã ãšããã°å
èŠãããšããããšãèµ·ãããããããŽããŽãLv.2äºä»¶ã¯çºçããªã fact5: ããããªLv.22äºä»¶ããããã¯å·ãæããšããããšããããã¯äž¡æ¹ã¯æç·©ããšããããšãé»æ¢ãã fact6: ã埡詳ãããšããããšã¯çºçããªãããšããããšã¯ããããªLv.22äºä»¶ããããã¯å·ãæããšããããšãçºçããã ; $hypothesis$ = ããããªLv.22äºä»¶ã¯çºçããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããããªLv.22äºä»¶ãçãã; fact4 & assump1 -> int1: å
èŠãããšããããšãèµ·ããããŽããŽãLv.2äºä»¶ã¯çããªã; int1 & fact3 -> int2: å·ãæããšããããšãçºçãã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} fact2: ({IK} & ¬{BB}) fact3: ({AA} & ¬{AB}) -> {B} fact4: {A} -> ({AA} & ¬{AB}) fact5: ({A} v {B}) -> ¬{CP} fact6: ¬{C} -> ({A} v {B}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; fact4 & assump1 -> int1: ({AA} & ¬{AB}); int1 & fact3 -> int2: {B}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | å±ãããšããããšãçãã | {A} | fact1: ããããã€ã¡ãŒãžãæããšããããšãçºçãããåŒãæããšããããšã¯çããªããäž¡æ¹ã ããšããããšã¯åœã§ãããªãã°å±ãããšããããšãèµ·ãã fact2: ãæ¢ã¿é£ããšããããšã¯çºçããªãããšããããšã¯ãã€ã¡ãŒãžãæããšããããšãçããããŸãã¯åŒãæããšããããšã¯çããªãããŸãã¯ã©ã¡ããã§ããããšããããšã«èµ·å ãã fact3: ãå±ãããšããããšã¯èµ·ãããªããŠæ¢ã¿é£ããšããããšãèµ·ããããšããããšã¯ã也ãæããšããããšã¯çããªãããšããããšããã£ããã fact4: æ¢ã¿é£ããšããããšãèµ·ãã | fact1: ¬({AA} v ¬{AB}) -> {A} fact2: ({AA} v ¬{AB}) -> ¬{B} fact3: ¬{C} -> (¬{A} & {B}) fact4: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã€ã¡ãŒãžãæããšããããšãèµ·ããããããã¯åŒãæããšããããšã¯èµ·ããªã; fact2 & assump1 -> int1: æ¢ã¿é£ããšããããšã¯èµ·ããªã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã€ã¡ãŒãžãæããšããããšãèµ·ããããããã¯åŒãæããšããããšã¯èµ·ãããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯äºå®ã§ãªã; int3 & fact1 -> hypothesis;"
] | [
"void -> assump1: ({AA} v ¬{AB}); fact2 & assump1 -> int1: ¬{B}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: ¬({AA} v ¬{AB}); int3 & fact1 -> hypothesis;"
] | å±ãããšããããšã¯çããªã | ¬{A} | [] | 6 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã€ã¡ãŒãžãæããšããããšãçºçãããåŒãæããšããããšã¯çããªããäž¡æ¹ã ããšããããšã¯åœã§ãããªãã°å±ãããšããããšãèµ·ãã fact2: ãæ¢ã¿é£ããšããããšã¯çºçããªãããšããããšã¯ãã€ã¡ãŒãžãæããšããããšãçããããŸãã¯åŒãæããšããããšã¯çããªãããŸãã¯ã©ã¡ããã§ããããšããããšã«èµ·å ãã fact3: ãå±ãããšããããšã¯èµ·ãããªããŠæ¢ã¿é£ããšããããšãèµ·ããããšããããšã¯ã也ãæããšããããšã¯çããªãããšããããšããã£ããã fact4: æ¢ã¿é£ããšããããšãèµ·ãã ; $hypothesis$ = å±ãããšããããšãçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã€ã¡ãŒãžãæããšããããšãèµ·ããããããã¯åŒãæããšããããšã¯èµ·ããªã; fact2 & assump1 -> int1: æ¢ã¿é£ããšããããšã¯èµ·ããªã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã€ã¡ãŒãžãæããšããããšãèµ·ããããããã¯åŒãæããšããããšã¯èµ·ãããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯äºå®ã§ãªã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({AA} v ¬{AB}) -> {A} fact2: ({AA} v ¬{AB}) -> ¬{B} fact3: ¬{C} -> (¬{A} & {B}) fact4: {B} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: ({AA} v ¬{AB}); fact2 & assump1 -> int1: ¬{B}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: ¬({AA} v ¬{AB}); int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã¡ã
ãŽãLv.15ã¯èç«ããã | {D}{c} | fact1: ä»®ã«ãã®ã·ãã·ãLv.18ãèŒãããªããšãããšãã®ãŸã®ãŸã¡ãLv.24ã¯èŒãããªããå ããŠçŸå§ããããªã fact2: ããããã®ã·ãã·ãLv.18ã¯çœã£ãœããªãã°ã倫婊ããããªãããããã¯ããã¯éŠå°Ÿè¯ããªãããšããããšã¯æãç«ããªã fact3: ããçŸå§ããããªãããŸãèç«ããããªãã¢ã³ã¹ã¿ãŒããããªããã®ãŸã®ãŸã¡ãLv.24ã¯å€«å©Šããããšããããšã¯ãªã fact4: ãã®ãŸã®ãŸã¡ãLv.24ã¯èŒãããªã fact5: ãèŒãããªããããŸãã«çŸå§ããããªããã¢ã³ã¹ã¿ãŒããããšããããã®ãŽã¡ã
ãŽãLv.15ã¯èç«ããããªã fact6: ããä»®ã«ããã®ã·ãã·ãLv.18ã¯å€«å©ŠããããªãããŸãã¯éŠå°Ÿè¯ããšããããšã¯ãªããã©ã¡ããã§ããããšããããšã¯åã§ãããªãããã®ã·ãã·ãLv.18ã¯èŒãããªãããšããããšã¯æ¬åœã fact7: ãã®ã·ãã·ãLv.18ã¯çœã£ãœã | fact1: ¬{B}{a} -> (¬{B}{b} & ¬{C}{b}) fact2: {A}{a} -> ¬(¬{AA}{a} v ¬{AB}{a}) fact3: (x): (¬{C}x & ¬{D}x) -> ¬{AA}{b} fact4: ¬{B}{b} fact5: (x): (¬{B}x & ¬{C}x) -> ¬{D}{c} fact6: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} fact7: {A}{a} | [
"fact2 & fact7 -> int1: ããã®ã·ãã·ãLv.18ã¯å€«å©Šããããªãããããã¯éŠå°Ÿè¯ããªããäž¡æ¹ãšãã ããšããããšã¯äºå®ã§ãªã; int1 & fact6 -> int2: ãã®ã·ãã·ãLv.18ã¯èŒãããªã; int2 & fact1 -> int3: ãã®ãŸã®ãŸã¡ãLv.24ã¯èŒãããªããå ããŠçŸå§ããããªã; int3 -> int4: ãèŒãããªãããã®äžçŸå§ããããªããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact5 -> hypothesis;"
] | [
"fact2 & fact7 -> int1: ¬(¬{AA}{a} v ¬{AB}{a}); int1 & fact6 -> int2: ¬{B}{a}; int2 & fact1 -> int3: (¬{B}{b} & ¬{C}{b}); int3 -> int4: (Ex): (¬{B}x & ¬{C}x); int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ãLv.18ãèŒãããªããšãããšãã®ãŸã®ãŸã¡ãLv.24ã¯èŒãããªããå ããŠçŸå§ããããªã fact2: ããããã®ã·ãã·ãLv.18ã¯çœã£ãœããªãã°ã倫婊ããããªãããããã¯ããã¯éŠå°Ÿè¯ããªãããšããããšã¯æãç«ããªã fact3: ããçŸå§ããããªãããŸãèç«ããããªãã¢ã³ã¹ã¿ãŒããããªããã®ãŸã®ãŸã¡ãLv.24ã¯å€«å©Šããããšããããšã¯ãªã fact4: ãã®ãŸã®ãŸã¡ãLv.24ã¯èŒãããªã fact5: ãèŒãããªããããŸãã«çŸå§ããããªããã¢ã³ã¹ã¿ãŒããããšããããã®ãŽã¡ã
ãŽãLv.15ã¯èç«ããããªã fact6: ããä»®ã«ããã®ã·ãã·ãLv.18ã¯å€«å©ŠããããªãããŸãã¯éŠå°Ÿè¯ããšããããšã¯ãªããã©ã¡ããã§ããããšããããšã¯åã§ãããªãããã®ã·ãã·ãLv.18ã¯èŒãããªãããšããããšã¯æ¬åœã fact7: ãã®ã·ãã·ãLv.18ã¯çœã£ãœã ; $hypothesis$ = ãã®ãŽã¡ã
ãŽãLv.15ã¯èç«ããã ; $proof$ = | fact2 & fact7 -> int1: ããã®ã·ãã·ãLv.18ã¯å€«å©Šããããªãããããã¯éŠå°Ÿè¯ããªããäž¡æ¹ãšãã ããšããããšã¯äºå®ã§ãªã; int1 & fact6 -> int2: ãã®ã·ãã·ãLv.18ã¯èŒãããªã; int2 & fact1 -> int3: ãã®ãŸã®ãŸã¡ãLv.24ã¯èŒãããªããå ããŠçŸå§ããããªã; int3 -> int4: ãèŒãããªãããã®äžçŸå§ããããªããã¢ã³ã¹ã¿ãŒã¯ãã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{a} -> (¬{B}{b} & ¬{C}{b}) fact2: {A}{a} -> ¬(¬{AA}{a} v ¬{AB}{a}) fact3: (x): (¬{C}x & ¬{D}x) -> ¬{AA}{b} fact4: ¬{B}{b} fact5: (x): (¬{B}x & ¬{C}x) -> ¬{D}{c} fact6: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} fact7: {A}{a} ; $hypothesis$ = {D}{c} ; $proof$ = | fact2 & fact7 -> int1: ¬(¬{AA}{a} v ¬{AB}{a}); int1 & fact6 -> int2: ¬{B}{a}; int2 & fact1 -> int3: (¬{B}{b} & ¬{C}{b}); int3 -> int4: (Ex): (¬{B}x & ¬{C}x); int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å¿ãé£ã | {D}{c} | fact1: ããä»®ã«ãã®ãŽããŽã«ãLv.89ã埡å®ããªããšãããšãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å
èŠãããªãäžæ¹ã§ããã¯çã¿æã fact2: ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯çã¿æã fact3: ãã®ãŽã«ããŽãLv.17ã¯çã¿æããªã fact4: ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å
èŠãããªãäžæ¹ã§çã¿æããªãå¿ãé£ããªã fact5: ããããã®ã¿ã¡ãã¿ãLv.54ã¯ç§»åãæããªããªãã°ããã¯åŸ¡å®ããæŽã«çã¿æã fact6: ãããã®ã¿ã¡ãã¿ãLv.54ã¯åŸ¡å®ããšãããšãå¿ãé£ãããšããããšã¯çå®ã fact7: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çã¿æããªããŠãŸãããã¯é倪ããªãããšããããšã¯æãç«ã€ fact8: ããããã®ã¿ã¡ãã¿ãLv.54ãçã¿æããªãããããé倪ããªããšããã°ãã®ãŽããŽã«ãLv.89ã¯åŸ¡å®ããšããããšã¯ãªã | fact1: ¬{B}{b} -> (¬{A}{c} & {C}{c}) fact2: {C}{c} fact3: ¬{C}{bc} fact4: (¬{A}{c} & {C}{c}) -> ¬{D}{c} fact5: ¬{E}{a} -> ({B}{a} & {C}{a}) fact6: {B}{a} -> {D}{a} fact7: (x): (¬{AA}x & ¬{AB}x) fact8: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} | [
"fact7 -> int1: ãã®ã¿ã¡ãã¿ãLv.54ã¯çã¿æããªããŠãããããã¯é倪ããªã; fact8 & int1 -> int2: ãã®ãŽããŽã«ãLv.89ã¯åŸ¡å®ããªã; int2 & fact1 -> int3: ããã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å
èŠãããªãäžæ¹ã§çã¿æãããšããããšã¯æãç«ã€; int3 & fact4 -> hypothesis;"
] | [
"fact7 -> int1: (¬{AA}{a} & ¬{AB}{a}); fact8 & int1 -> int2: ¬{B}{b}; int2 & fact1 -> int3: (¬{A}{c} & {C}{c}); int3 & fact4 -> hypothesis;"
] | ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å¿ãé£ã | {D}{c} | [] | 7 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽã«ãLv.89ã埡å®ããªããšãããšãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å
èŠãããªãäžæ¹ã§ããã¯çã¿æã fact2: ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯çã¿æã fact3: ãã®ãŽã«ããŽãLv.17ã¯çã¿æããªã fact4: ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å
èŠãããªãäžæ¹ã§çã¿æããªãå¿ãé£ããªã fact5: ããããã®ã¿ã¡ãã¿ãLv.54ã¯ç§»åãæããªããªãã°ããã¯åŸ¡å®ããæŽã«çã¿æã fact6: ãããã®ã¿ã¡ãã¿ãLv.54ã¯åŸ¡å®ããšãããšãå¿ãé£ãããšããããšã¯çå®ã fact7: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯çã¿æããªããŠãŸãããã¯é倪ããªãããšããããšã¯æãç«ã€ fact8: ããããã®ã¿ã¡ãã¿ãLv.54ãçã¿æããªãããããé倪ããªããšããã°ãã®ãŽããŽã«ãLv.89ã¯åŸ¡å®ããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å¿ãé£ã ; $proof$ = | fact7 -> int1: ãã®ã¿ã¡ãã¿ãLv.54ã¯çã¿æããªããŠãããããã¯é倪ããªã; fact8 & int1 -> int2: ãã®ãŽããŽã«ãLv.89ã¯åŸ¡å®ããªã; int2 & fact1 -> int3: ããã®ãŽã«ã
ãŽã«ã
Lv.62ã¯å
èŠãããªãäžæ¹ã§çã¿æãããšããããšã¯æãç«ã€; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{b} -> (¬{A}{c} & {C}{c}) fact2: {C}{c} fact3: ¬{C}{bc} fact4: (¬{A}{c} & {C}{c}) -> ¬{D}{c} fact5: ¬{E}{a} -> ({B}{a} & {C}{a}) fact6: {B}{a} -> {D}{a} fact7: (x): (¬{AA}x & ¬{AB}x) fact8: (¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{b} ; $hypothesis$ = {D}{c} ; $proof$ = | fact7 -> int1: (¬{AA}{a} & ¬{AB}{a}); fact8 & int1 -> int2: ¬{B}{b}; int2 & fact1 -> int3: (¬{A}{c} & {C}{c}); int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã¡ããŽãLv.76ã¯ãžãã°ããªãããšããããšã¯æãç«ã€ | ¬{D}{d} | fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ©ãé£ããªãããããç¯ãé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããããã¯æ©ãé£ã fact2: ãã®ã·ã®ã·ã«ãLv.89ãç¯ãé£ããªããå¥ããæãããããã¯ã©ã¡ãããªããã®ãŽã¡ããŽãLv.76ã¯ãžãã°ããªã fact3: ãããã®ã¿ã¡ã
ã¿ãLv.92ãæ©ãé£ããšããããšã¯ãªããšããããã®ãããã¡ãLv.29ã¯çšè¯ããããã¯å°ããªãããããã¯äž¡æ¹ã§ãã fact4: ãã®ãŽã¡ããŽãLv.76ã¯çšè¯ãããžãã°ã fact5: æ©ãé£ãã¢ã³ã¹ã¿ãŒã¯ãžãã°ã fact6: ä»®ã«ããã®ãããã¡ãLv.29ã¯çšè¯ããå°ããªãããšããããšã¯æãç«ã€ãªããã®ãããã¡ãLv.29ã¯ç¯ãé£ã fact7: ä»®ã«ããã®ãããã¡ãLv.29ã¯ç¯ãé£ãããšããããšã¯æ£ãããšããã°ãã®ã·ã®ã·ã«ãLv.89ã¯ç¯ãé£ããªãããããã¯ããã¯å¥ããæããäž¡æ¹ã§ãã | fact1: (x): ¬(¬{A}x & ¬{B}x) -> {A}x fact2: (¬{B}{c} v {C}{c}) -> ¬{D}{d} fact3: ¬{A}{a} -> ({AA}{b} v ¬{AB}{b}) fact4: ({AA}{d} v {D}{d}) fact5: (x): {A}x -> {D}x fact6: ({AA}{b} v ¬{AB}{b}) -> {B}{b} fact7: {B}{b} -> (¬{B}{c} v {C}{c}) | [] | [] | ãã®ãŽã¡ããŽãLv.76ã¯ãžãã°ã | {D}{d} | [
"fact9 -> int1: ãã®ãŽã¡ããŽãLv.76ãæ©ãé£ããªããã®ãŽã¡ããŽãLv.76ã¯ãžãã°ã; fact8 -> int2: ããããã®ãŽã¡ããŽãLv.76ã¯æ©ãé£ããªãããã€ç¯ãé£ããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŽã¡ããŽãLv.76ã¯æ©ãé£ã;"
] | 5 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ©ãé£ããªãããããç¯ãé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããããã¯æ©ãé£ã fact2: ãã®ã·ã®ã·ã«ãLv.89ãç¯ãé£ããªããå¥ããæãããããã¯ã©ã¡ãããªããã®ãŽã¡ããŽãLv.76ã¯ãžãã°ããªã fact3: ãããã®ã¿ã¡ã
ã¿ãLv.92ãæ©ãé£ããšããããšã¯ãªããšããããã®ãããã¡ãLv.29ã¯çšè¯ããããã¯å°ããªãããããã¯äž¡æ¹ã§ãã fact4: ãã®ãŽã¡ããŽãLv.76ã¯çšè¯ãããžãã°ã fact5: æ©ãé£ãã¢ã³ã¹ã¿ãŒã¯ãžãã°ã fact6: ä»®ã«ããã®ãããã¡ãLv.29ã¯çšè¯ããå°ããªãããšããããšã¯æãç«ã€ãªããã®ãããã¡ãLv.29ã¯ç¯ãé£ã fact7: ä»®ã«ããã®ãããã¡ãLv.29ã¯ç¯ãé£ãããšããããšã¯æ£ãããšããã°ãã®ã·ã®ã·ã«ãLv.89ã¯ç¯ãé£ããªãããããã¯ããã¯å¥ããæããäž¡æ¹ã§ãã ; $hypothesis$ = ããã®ãŽã¡ããŽãLv.76ã¯ãžãã°ããªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{A}x & ¬{B}x) -> {A}x fact2: (¬{B}{c} v {C}{c}) -> ¬{D}{d} fact3: ¬{A}{a} -> ({AA}{b} v ¬{AB}{b}) fact4: ({AA}{d} v {D}{d}) fact5: (x): {A}x -> {D}x fact6: ({AA}{b} v ¬{AB}{b}) -> {B}{b} fact7: {B}{b} -> (¬{B}{c} v {C}{c}) ; $hypothesis$ = ¬{D}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããåè«ãœããšããããšãèµ·ããã絡ã¿åãããããšã¯çããªã | ({A} & ¬{B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããåè«ãœããšããããšãèµ·ããã絡ã¿åãããããšã¯çããªã; assump1 -> int1: åè«ãœããšããããšãçºçãã;"
] | [
"void -> assump1: ({A} & ¬{B}); assump1 -> int1: {A};"
] | null | null | [] | null | 4 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããåè«ãœããšããããšãèµ·ããã絡ã¿åãããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = ; $hypothesis$ = ({A} & ¬{B}) ; $proof$ = | __UNKNOWN__ |
||
0.3 | ããã®ãã®ãã¡ãLv.25ã¯æ§è¯ããšããããšã¯ãªããã©å°æãããšããããšã¯æãç«ããªã | ¬(¬{E}{a} & {F}{a}) | fact1: ããããã®ãã®ãã¡ãLv.25ã¯æ§è¯ãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšæ§è¯ããªããŠãã®äžå°æã fact2: ä»®ã«ãã®ãã®ãã¡ãLv.25ãåŒãã移ãé£ããšããããã®ãã®ãã¡ãLv.25ã¯æ·¡ããªã fact3: ãã®ãã®ãã¡ãLv.25ã¯åŒããå²ãé£ã fact4: äœããã®ã¢ã³ã¹ã¿ãŒãç
©ããªããªãæã¡é£ããªã | fact1: ¬{E}{a} -> (¬{E}{a} & {F}{a}) fact2: ({A}{a} v {C}{a}) -> ¬{D}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): ¬{IE}x -> ¬{GF}x | [
"fact3 -> int1: ãã®ãã®ãã¡ãLv.25ã¯åŒã; int1 -> int2: ãã®ãã®ãã¡ãLv.25ã¯åŒãããŸãã¯ããã¯ç§»ãé£ãããŸãã¯äž¡æ¹ãšãã§ãã; int2 & fact2 -> int3: ãã®ãã®ãã¡ãLv.25ã¯æ·¡ããªã;"
] | [
"fact3 -> int1: {A}{a}; int1 -> int2: ({A}{a} v {C}{a}); int2 & fact2 -> int3: ¬{D}{a};"
] | ãããã®ãŸã«ããŸã¡ãLv.33ãç
©ããªããšãããšãã®ãŸã«ããŸã¡ãLv.33ã¯æã¡é£ããªã | ¬{IE}{de} -> ¬{GF}{de} | [
"fact5 -> hypothesis;"
] | 1 | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããããã®ãã®ãã¡ãLv.25ã¯æ§è¯ãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšæ§è¯ããªããŠãã®äžå°æã fact2: ä»®ã«ãã®ãã®ãã¡ãLv.25ãåŒãã移ãé£ããšããããã®ãã®ãã¡ãLv.25ã¯æ·¡ããªã fact3: ãã®ãã®ãã¡ãLv.25ã¯åŒããå²ãé£ã fact4: äœããã®ã¢ã³ã¹ã¿ãŒãç
©ããªããªãæã¡é£ããªã ; $hypothesis$ = ããã®ãã®ãã¡ãLv.25ã¯æ§è¯ããšããããšã¯ãªããã©å°æãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{E}{a} -> (¬{E}{a} & {F}{a}) fact2: ({A}{a} v {C}{a}) -> ¬{D}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): ¬{IE}x -> ¬{GF}x ; $hypothesis$ = ¬(¬{E}{a} & {F}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãœã«ã
ãœã«ãLv.75äºä»¶ãèµ·ãã | {D} | fact1: ãã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact2: ããŸã¡ããŸãLv.42äºä»¶ãçºçãããçæãæããšããããšãçããããšããããšã¯æ®çºãæããšããããšã¯èµ·ãããªããšããããšã«ããçºçãã fact3: ããŽããŽãLv.41äºä»¶ã§ã¯ãªãçæãæããšããããšãçããããšããããšã¯ããŽããŽãLv.41äºä»¶ã¯çºçããªãããšããããšãå¥æ©ã§ãã fact4: ãããã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ããããã€ã¿ã«ã
ã¿ãLv.49äºä»¶ãçºçãããšãããšãŽããŽãLv.41äºä»¶ã¯çºçããªã fact5: ãœã«ã
ãœã«ãLv.75äºä»¶ã¯ããŽããŽãLv.41äºä»¶ã¯èµ·ãããªããã©çæãæããšããããšãèµ·ããããšããããšã«ããçºçãã fact6: ä»®ã«ãã¿ã«ã
ã¿ãLv.49äºä»¶ã¯çºçããªãããšããããšã¯æ£ãããšãããã·ãã·ãLv.79äºä»¶ããã³ã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ãã fact7: ã圹ããããšãçºçããªããŠãã€ãã«ãããLv.72äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããšããã°æ®çºãæããšããããšã¯çããªã fact8: ã¿ã«ã
ã¿ãLv.49äºä»¶ãèµ·ãã | fact1: {A} fact2: ¬{G} -> ({F} & {E}) fact3: ¬{C} -> (¬{C} & {E}) fact4: ({A} & {B}) -> ¬{C} fact5: (¬{C} & {E}) -> {D} fact6: ¬{B} -> ({EI} & {A}) fact7: ¬(¬{H} & ¬{I}) -> ¬{G} fact8: {B} | [
"fact1 & fact8 -> int1: ãã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ããããã®äžã¿ã«ã
ã¿ãLv.49äºä»¶ãçºçããããšããããšã¯çå®ã ; int1 & fact4 -> int2: ãŽããŽãLv.41äºä»¶ã¯èµ·ããªã; int2 & fact3 -> int3: ãŽããŽãLv.41äºä»¶ã¯çããªããŠçæãæããšããããšãèµ·ãã; int3 & fact5 -> hypothesis;"
] | [
"fact1 & fact8 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact3 -> int3: (¬{C} & {E}); int3 & fact5 -> hypothesis;"
] | ãœã«ã
ãœã«ãLv.75äºä»¶ã¯èµ·ããªã | ¬{D} | [] | 7 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact2: ããŸã¡ããŸãLv.42äºä»¶ãçºçãããçæãæããšããããšãçããããšããããšã¯æ®çºãæããšããããšã¯èµ·ãããªããšããããšã«ããçºçãã fact3: ããŽããŽãLv.41äºä»¶ã§ã¯ãªãçæãæããšããããšãçããããšããããšã¯ããŽããŽãLv.41äºä»¶ã¯çºçããªãããšããããšãå¥æ©ã§ãã fact4: ãããã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ããããã€ã¿ã«ã
ã¿ãLv.49äºä»¶ãçºçãããšãããšãŽããŽãLv.41äºä»¶ã¯çºçããªã fact5: ãœã«ã
ãœã«ãLv.75äºä»¶ã¯ããŽããŽãLv.41äºä»¶ã¯èµ·ãããªããã©çæãæããšããããšãèµ·ããããšããããšã«ããçºçãã fact6: ä»®ã«ãã¿ã«ã
ã¿ãLv.49äºä»¶ã¯çºçããªãããšããããšã¯æ£ãããšãããã·ãã·ãLv.79äºä»¶ããã³ã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ãã fact7: ã圹ããããšãçºçããªããŠãã€ãã«ãããLv.72äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªããšããã°æ®çºãæããšããããšã¯çããªã fact8: ã¿ã«ã
ã¿ãLv.49äºä»¶ãèµ·ãã ; $hypothesis$ = ãœã«ã
ãœã«ãLv.75äºä»¶ãèµ·ãã ; $proof$ = | fact1 & fact8 -> int1: ãã¿ã¡ã
ã¿ã«ã
Lv.1äºä»¶ãèµ·ããããã®äžã¿ã«ã
ã¿ãLv.49äºä»¶ãçºçããããšããããšã¯çå®ã ; int1 & fact4 -> int2: ãŽããŽãLv.41äºä»¶ã¯èµ·ããªã; int2 & fact3 -> int3: ãŽããŽãLv.41äºä»¶ã¯çããªããŠçæãæããšããããšãèµ·ãã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ¬{G} -> ({F} & {E}) fact3: ¬{C} -> (¬{C} & {E}) fact4: ({A} & {B}) -> ¬{C} fact5: (¬{C} & {E}) -> {D} fact6: ¬{B} -> ({EI} & {A}) fact7: ¬(¬{H} & ¬{I}) -> ¬{G} fact8: {B} ; $hypothesis$ = {D} ; $proof$ = | fact1 & fact8 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact3 -> int3: (¬{C} & {E}); int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.50ã¯å£ãæã | {A}{a} | fact1: ãã®ãŸããŸãLv.91ã¯åº§ãæããšããããšã¯ãªããå ããŠåŒ·ããªã fact2: 匷ããªãã¢ã³ã¹ã¿ãŒã¯å£ãæãããããã¡ã£ã¡ãã fact3: ä»®ã«ãã®ãœããœã¡ãLv.13ã¯ã¡ã£ã¡ãããšãããããã®ãŸããŸãLv.91ã¯åº§ãæããªããŠããŸãã«åŒ·ããªãããšããããšã¯èª€ãã fact4: ããä»®ã«ãã®ãœããœã¡ãLv.13ã匷ããã©ã¿ã€ãã«ããããªããšããã°ãã®ã·ãã·ã¡ãLv.50ã¯åŒ·ããšããããšã¯ãªã fact5: ä»®ã«ãã®ã·ãã·ã¡ãLv.50ãå£ãæããšãããšãã®ãœããœã¡ãLv.13ã¯ã¡ã£ã¡ãã fact6: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãå£ãæããªãããã¯ç解ãèŸããªãããããè¡ããªã | fact1: (¬{D}{c} & ¬{C}{c}) fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {B}{b} -> ¬(¬{D}{c} & ¬{C}{c}) fact4: ({C}{b} & ¬{E}{b}) -> ¬{C}{a} fact5: {A}{a} -> {B}{b} fact6: (x): {A}x -> (¬{U}x & ¬{ES}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.50ã¯å£ãæã; fact5 & assump1 -> int1: ãã®ãœããœã¡ãLv.13ã¯ã¡ã£ã¡ãã; int1 & fact3 -> int2: ããã®ãŸããŸãLv.91ã¯åº§ãæããªããããã¯åŒ·ããªãããšããããšã¯ééãã ; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{b}; int1 & fact3 -> int2: ¬(¬{D}{c} & ¬{C}{c}); int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.50ã¯å£ãæã | {A}{a} | [
"fact7 -> int4: ãã®ã·ãã·ã¡ãLv.50ã匷ããªããªãã°ãã®ã·ãã·ã¡ãLv.50ã¯å£ãæãããããã¡ã£ã¡ãã;"
] | 5 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.91ã¯åº§ãæããšããããšã¯ãªããå ããŠåŒ·ããªã fact2: 匷ããªãã¢ã³ã¹ã¿ãŒã¯å£ãæãããããã¡ã£ã¡ãã fact3: ä»®ã«ãã®ãœããœã¡ãLv.13ã¯ã¡ã£ã¡ãããšãããããã®ãŸããŸãLv.91ã¯åº§ãæããªããŠããŸãã«åŒ·ããªãããšããããšã¯èª€ãã fact4: ããä»®ã«ãã®ãœããœã¡ãLv.13ã匷ããã©ã¿ã€ãã«ããããªããšããã°ãã®ã·ãã·ã¡ãLv.50ã¯åŒ·ããšããããšã¯ãªã fact5: ä»®ã«ãã®ã·ãã·ã¡ãLv.50ãå£ãæããšãããšãã®ãœããœã¡ãLv.13ã¯ã¡ã£ã¡ãã fact6: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãå£ãæããªãããã¯ç解ãèŸããªãããããè¡ããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.50ã¯å£ãæã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã¡ãLv.50ã¯å£ãæã; fact5 & assump1 -> int1: ãã®ãœããœã¡ãLv.13ã¯ã¡ã£ã¡ãã; int1 & fact3 -> int2: ããã®ãŸããŸãLv.91ã¯åº§ãæããªããããã¯åŒ·ããªãããšããããšã¯ééãã ; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{D}{c} & ¬{C}{c}) fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {B}{b} -> ¬(¬{D}{c} & ¬{C}{c}) fact4: ({C}{b} & ¬{E}{b}) -> ¬{C}{a} fact5: {A}{a} -> {B}{b} fact6: (x): {A}x -> (¬{U}x & ¬{ES}x) ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: {B}{b}; int1 & fact3 -> int2: ¬(¬{D}{c} & ¬{C}{c}); int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ãœãLv.95ã¯æ Œå¥œè¯ã | {B}{a} | fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯å€è³ªãããšãããšãæ Œå¥œè¯ããææ
®æ·±ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact2: ãããã®ãœã«ãœãLv.95ã¯è³¢ããªãã°ãããã®ãœã«ãœãLv.95ã¯é ãããããã¯ã匱ããªããäž¡æ¹ã ããšããããšã¯æãç«ããªãããšããããšã¯ç¢ºãã§ãã fact3: ãããããã®ãœã«ãœãLv.95ã¯é ãããŸãã¯ããã¯ã匱ããªãããããã¯ã©ã¡ããã§ããããšããããšã¯åœã ããšããããšã¯èª€ãã§ãªããšãããšæ Œå¥œè¯ã | fact1: (x): {GC}x -> ¬({B}x v ¬{DS}x) fact2: {A}{a} -> ¬({AA}{a} v ¬{AB}{a}) fact3: ¬({AA}{a} v ¬{AB}{a}) -> {B}{a} | [] | [] | ããä»®ã«ãã®ãŽã¡ããŽãLv.8ã¯å€è³ªãããªããæ Œå¥œè¯ãããããã¯ææ
®æ·±ããªãããŸãã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ã£ãŠãã | {GC}{eb} -> ¬({B}{eb} v ¬{DS}{eb}) | [
"fact4 -> hypothesis;"
] | 1 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯å€è³ªãããšãããšãæ Œå¥œè¯ããææ
®æ·±ããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact2: ãããã®ãœã«ãœãLv.95ã¯è³¢ããªãã°ãããã®ãœã«ãœãLv.95ã¯é ãããããã¯ã匱ããªããäž¡æ¹ã ããšããããšã¯æãç«ããªãããšããããšã¯ç¢ºãã§ãã fact3: ãããããã®ãœã«ãœãLv.95ã¯é ãããŸãã¯ããã¯ã匱ããªãããããã¯ã©ã¡ããã§ããããšããããšã¯åœã ããšããããšã¯èª€ãã§ãªããšãããšæ Œå¥œè¯ã ; $hypothesis$ = ãã®ãœã«ãœãLv.95ã¯æ Œå¥œè¯ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {GC}x -> ¬({B}x v ¬{DS}x) fact2: {A}{a} -> ¬({AA}{a} v ¬{AB}{a}) fact3: ¬({AA}{a} v ¬{AB}{a}) -> {B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã«ãããLv.17ã¯çžå¿ãããªã | ¬{F}{c} | fact1: ãã®ããããLv.37ãå瀺ããªããªãã°ãã®ãã¡ãããªLv.73ã¯æ¯ã
ããããããã¯èµ€ããªã fact2: ãã®ãã¡ããã«ãLv.28ãé¢èª¬ããªããšããã°ãã®ããããLv.37ã¯å瀺ããªã fact3: ä»®ã«ãã®ãã¡ãããªLv.73ãæ¯ã
ãããšããã°ãã®ãã«ãããLv.17ã¯çžå¿ãã fact4: 埡å¯ããªãã¢ã³ã¹ã¿ãŒã¯é¢èª¬ããªã fact5: ãã®ããããLv.37ã¯çžå¿ãããªã fact6: ãã®ãã¡ããã«ãLv.28ã¯åŸ¡å¯ããªã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯é¢èª¬ããªããšããã°ãããã¯å瀺ããªããŠãŸã埡å¯ããªãããšããããšã¯ééãã | fact1: ¬{A}{a} -> ({E}{b} v ¬{D}{b}) fact2: ¬{C}{aa} -> ¬{A}{a} fact3: {E}{b} -> {F}{c} fact4: (x): ¬{B}x -> ¬{C}x fact5: ¬{F}{a} fact6: ¬{B}{aa} fact7: (x): ¬{C}x -> ¬(¬{A}x & ¬{B}x) | [
"fact4 -> int1: ããä»®ã«ããã®ãã¡ããã«ãLv.28ã¯åŸ¡å¯ããªãããšããããšã¯äºå®ã ãšããã°é¢èª¬ããªã; int1 & fact6 -> int2: ãã®ãã¡ããã«ãLv.28ã¯é¢èª¬ãããšããããšã¯ãªã; int2 & fact2 -> int3: ãã®ããããLv.37ã¯å瀺ããªã; int3 & fact1 -> int4: ãã®ãã¡ãããªLv.73ã¯æ¯ã
ããããããã¯èµ€ããªã;"
] | [
"fact4 -> int1: ¬{B}{aa} -> ¬{C}{aa}; int1 & fact6 -> int2: ¬{C}{aa}; int2 & fact2 -> int3: ¬{A}{a}; int3 & fact1 -> int4: ({E}{b} v ¬{D}{b});"
] | ãã®ãã«ãããLv.17ã¯çžå¿ãããªã | ¬{F}{c} | [
"fact8 -> int5: ãã®ããããLv.37ã¯é¢èª¬ããªããªãã°ããã®ããããLv.37ã¯å瀺ããªããŠããã«ããã¯åŸ¡å¯ããšããããšã¯ãªãããšããããšã¯åœã§ãã;"
] | 5 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ããããLv.37ãå瀺ããªããªãã°ãã®ãã¡ãããªLv.73ã¯æ¯ã
ããããããã¯èµ€ããªã fact2: ãã®ãã¡ããã«ãLv.28ãé¢èª¬ããªããšããã°ãã®ããããLv.37ã¯å瀺ããªã fact3: ä»®ã«ãã®ãã¡ãããªLv.73ãæ¯ã
ãããšããã°ãã®ãã«ãããLv.17ã¯çžå¿ãã fact4: 埡å¯ããªãã¢ã³ã¹ã¿ãŒã¯é¢èª¬ããªã fact5: ãã®ããããLv.37ã¯çžå¿ãããªã fact6: ãã®ãã¡ããã«ãLv.28ã¯åŸ¡å¯ããªã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯é¢èª¬ããªããšããã°ãããã¯å瀺ããªããŠãŸã埡å¯ããªãããšããããšã¯ééãã ; $hypothesis$ = ãã®ãã«ãããLv.17ã¯çžå¿ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ({E}{b} v ¬{D}{b}) fact2: ¬{C}{aa} -> ¬{A}{a} fact3: {E}{b} -> {F}{c} fact4: (x): ¬{B}x -> ¬{C}x fact5: ¬{F}{a} fact6: ¬{B}{aa} fact7: (x): ¬{C}x -> ¬(¬{A}x & ¬{B}x) ; $hypothesis$ = ¬{F}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããããã®ãŸã«ããŸãLv.98ã¯æ°ä»ãé£ãããšããããšã¯åã§ãªã | {A}{a} | fact1: ãã®ãŽã®ãŽãLv.84ã¯è²Žæ¹ããã fact2: ãã®ãŽã®ãŽãLv.84ã¯æãã fact3: ããä»®ã«ããã®ãŸã«ããŸãLv.98ã¯æãããªãããŸãåŸãããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšãã®ãœã«ã
ãœãLv.23ã¯æãããªã fact4: ãã®ãŽã®ãŽãLv.84ã貎æ¹ãããããã©ãããããªèããªããªãããã¯æãããšããããšã¯ãªã fact5: ããããã®ãŸã«ããŸãLv.98ãæ°ä»ãé£ããªãã°ãã®ãŽã®ãŽãLv.84ã¯è²Žæ¹ãããããã©ããªèããªã | fact1: {AA}{b} fact2: {B}{b} fact3: ¬(¬{B}{a} & ¬{D}{a}) -> ¬{B}{es} fact4: ({AA}{b} & ¬{AB}{b}) -> ¬{B}{b} fact5: {A}{a} -> ({AA}{b} & ¬{AB}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸã«ããŸãLv.98ã¯æ°ä»ãé£ãããšããããšã¯åã§ãªã; fact5 & assump1 -> int1: ãã®ãŽã®ãŽãLv.84ã¯è²Žæ¹ãããããããããªèããªã; int1 & fact4 -> int2: ãã®ãŽã®ãŽãLv.84ã¯æãããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact5 & assump1 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: ¬{B}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ãã®ãœã«ã
ãœãLv.23ã¯ããªèã | {AB}{es} | [] | 5 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã®ãŽãLv.84ã¯è²Žæ¹ããã fact2: ãã®ãŽã®ãŽãLv.84ã¯æãã fact3: ããä»®ã«ããã®ãŸã«ããŸãLv.98ã¯æãããªãããŸãåŸãããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšãã®ãœã«ã
ãœãLv.23ã¯æãããªã fact4: ãã®ãŽã®ãŽãLv.84ã貎æ¹ãããããã©ãããããªèããªããªãããã¯æãããšããããšã¯ãªã fact5: ããããã®ãŸã«ããŸãLv.98ãæ°ä»ãé£ããªãã°ãã®ãŽã®ãŽãLv.84ã¯è²Žæ¹ãããããã©ããªèããªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããããã®ãŸã«ããŸãLv.98ã¯æ°ä»ãé£ãããšããããšã¯åã§ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸã«ããŸãLv.98ã¯æ°ä»ãé£ãããšããããšã¯åã§ãªã; fact5 & assump1 -> int1: ãã®ãŽã®ãŽãLv.84ã¯è²Žæ¹ãããããããããªèããªã; int1 & fact4 -> int2: ãã®ãŽã®ãŽãLv.84ã¯æãããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AA}{b} fact2: {B}{b} fact3: ¬(¬{B}{a} & ¬{D}{a}) -> ¬{B}{es} fact4: ({AA}{b} & ¬{AB}{b}) -> ¬{B}{b} fact5: {A}{a} -> ({AA}{b} & ¬{AB}{b}) ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: {A}{a}; fact5 & assump1 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: ¬{B}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãã·ãLv.29ã¯ç¢ºå®ãåŸãããšããããšã¯ç¢ºãã§ãã | {C}{c} | fact1: ãã®ãŸããŸã¡ã
Lv.34ã¯å¥é¢ãé£ã fact2: ããä»®ã«ãã®ã·ãã·ã«Lv.48ãçŸããé£ããªããšããã°ãã®ã·ãã·ãLv.29ã¯çŸããé£ããªãã確å®ãåŸãªã fact3: ããããã®ãŸããŸã¡ã
Lv.34ã¯å¥é¢ãé£ããšããã°ããã®ã·ãã·ã«Lv.48ã¯æµžéãå§ããªãããŸãæµ
ããªãããšããããšã¯ééã£ãŠãã fact4: ããããã®ã·ãã·ã«Lv.48ã¯æµžéãå§ããªããæµ
ããšããããšã¯ãªãããšããããšã¯èª€ããªãã°ãã®ã·ãã·ã«Lv.48ã¯çŸããé£ããªã | fact1: {A}{a} fact2: ¬{B}{b} -> (¬{B}{c} & ¬{C}{c}) fact3: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact4: ¬(¬{AA}{b} & ¬{AB}{b}) -> ¬{B}{b} | [
"fact3 & fact1 -> int1: ããã®ã·ãã·ã«Lv.48ã¯æµžéãå§ããªããŠããã«æµ
ããªãããšããããšã¯èª€ã£ãŠãã; int1 & fact4 -> int2: ãã®ã·ãã·ã«Lv.48ã¯çŸããé£ããªã; int2 & fact2 -> int3: ãã®ã·ãã·ãLv.29ã¯çŸããé£ããªããŠç¢ºå®ãåŸããšããããšã¯ãªã; int3 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: ¬{B}{b}; int2 & fact2 -> int3: (¬{B}{c} & ¬{C}{c}); int3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸããŸã¡ã
Lv.34ã¯å¥é¢ãé£ã fact2: ããä»®ã«ãã®ã·ãã·ã«Lv.48ãçŸããé£ããªããšããã°ãã®ã·ãã·ãLv.29ã¯çŸããé£ããªãã確å®ãåŸãªã fact3: ããããã®ãŸããŸã¡ã
Lv.34ã¯å¥é¢ãé£ããšããã°ããã®ã·ãã·ã«Lv.48ã¯æµžéãå§ããªãããŸãæµ
ããªãããšããããšã¯ééã£ãŠãã fact4: ããããã®ã·ãã·ã«Lv.48ã¯æµžéãå§ããªããæµ
ããšããããšã¯ãªãããšããããšã¯èª€ããªãã°ãã®ã·ãã·ã«Lv.48ã¯çŸããé£ããªã ; $hypothesis$ = ããã®ã·ãã·ãLv.29ã¯ç¢ºå®ãåŸãããšããããšã¯ç¢ºãã§ãã ; $proof$ = | fact3 & fact1 -> int1: ããã®ã·ãã·ã«Lv.48ã¯æµžéãå§ããªããŠããã«æµ
ããªãããšããããšã¯èª€ã£ãŠãã; int1 & fact4 -> int2: ãã®ã·ãã·ã«Lv.48ã¯çŸããé£ããªã; int2 & fact2 -> int3: ãã®ã·ãã·ãLv.29ã¯çŸããé£ããªããŠç¢ºå®ãåŸããšããããšã¯ãªã; int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{B}{b} -> (¬{B}{c} & ¬{C}{c}) fact3: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact4: ¬(¬{AA}{b} & ¬{AB}{b}) -> ¬{B}{b} ; $hypothesis$ = {C}{c} ; $proof$ = | fact3 & fact1 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact4 -> int2: ¬{B}{b}; int2 & fact2 -> int3: (¬{B}{c} & ¬{C}{c}); int3 -> hypothesis; __DISPROVED__ |
0.3 | çç£ã»è²©å£²ããããšã¯çããªã | ¬{A} | fact1: ãæ¶åãæããšããããšã¯èµ·ãããªãããšããããšã¯äºæž¬ãæããšããããšããã³çç£ã»è²©å£²ããããšãçãããæã fact2: ããä»®ã«ã·ã«ã·ã«ãLv.39äºä»¶ã§ã¯ãªããŠãã¡ã
ãã«ãLv.68äºä»¶ãçºçãããªãäºæž¬ãæããšããããšã¯èµ·ãããªã fact3: äºæž¬ãæããšããããšãèµ·ãã fact4: ãå€ãæããšããããšã¯çºçããªãããšããããšã¯åãåãããšãšåã£ãœããšããããšãèµ·ããã®ãã£ãããšãªã fact5: ãåãåãããšãçºçããããšããããšã¯æãç«ã€ãªãæ¶åãæããšããããšã§ã¯ãªããŠãŸã®ãŸãLv.70äºä»¶ãèµ·ãã | fact1: ¬{C} -> ({B} & {A}) fact2: (¬{AA} & {AB}) -> ¬{B} fact3: {B} fact4: ¬{G} -> ({E} & {F}) fact5: {E} -> (¬{C} & {D}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ã«ã·ã«ãLv.39äºä»¶ã§ã¯ãªããŠãã¡ã
ãã«ãLv.68äºä»¶ãçºçãã; fact2 & assump1 -> int1: äºæž¬ãæããšããããšã¯çºçããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã·ã«ã·ã«ãLv.39äºä»¶ã§ã¯ãªããŠãã¡ã
ãã«ãLv.68äºä»¶ãçããããšããããšã¯ééãã§ãã;"
] | [
"void -> assump1: (¬{AA} & {AB}); fact2 & assump1 -> int1: ¬{B}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{AA} & {AB});"
] | çç£ã»è²©å£²ããããšãçºçãã | {A} | [] | 8 | 5 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæ¶åãæããšããããšã¯èµ·ãããªãããšããããšã¯äºæž¬ãæããšããããšããã³çç£ã»è²©å£²ããããšãçãããæã fact2: ããä»®ã«ã·ã«ã·ã«ãLv.39äºä»¶ã§ã¯ãªããŠãã¡ã
ãã«ãLv.68äºä»¶ãçºçãããªãäºæž¬ãæããšããããšã¯èµ·ãããªã fact3: äºæž¬ãæããšããããšãèµ·ãã fact4: ãå€ãæããšããããšã¯çºçããªãããšããããšã¯åãåãããšãšåã£ãœããšããããšãèµ·ããã®ãã£ãããšãªã fact5: ãåãåãããšãçºçããããšããããšã¯æãç«ã€ãªãæ¶åãæããšããããšã§ã¯ãªããŠãŸã®ãŸãLv.70äºä»¶ãèµ·ãã ; $hypothesis$ = çç£ã»è²©å£²ããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C} -> ({B} & {A}) fact2: (¬{AA} & {AB}) -> ¬{B} fact3: {B} fact4: ¬{G} -> ({E} & {F}) fact5: {E} -> (¬{C} & {D}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãããã¡ã
Lv.18ã¯åæ°ãªã | {AA}{a} | fact1: ããã®ãããã¡ã
Lv.18ã¯ã©ã§ãããªãããšããããšã¯ç¢ºãã§ãã fact2: ãã®ãããã¡ã
Lv.18ã¯æ³šææ·±ã fact3: ããä»®ã«ãã®ãããã¡ã
Lv.18ãã©ã§ãããšããããšã¯ãªããšããã°åæ°ãªããæŽã«æ³šææ·±ã fact4: å
ãé£ããªãã¢ã³ã¹ã¿ãŒã¯ã©ã§ãããŠä¹ãã fact5: ãä»®ã«ãã®ãããã¡ã
Lv.18ãã©ã§ãããªããšãããšãã®ãããã¡ã
Lv.18ã¯æ³šææ·±ãããšããããšã¯æ£ãã | fact1: ¬{A}{a} fact2: {AB}{a} fact3: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact4: (x): ¬{AC}x -> ({A}x & {CG}x) fact5: ¬{A}{a} -> {AB}{a} | [
"fact3 & fact1 -> int1: ããã®ãããã¡ã
Lv.18ã¯åæ°ãªããŠå ããŠæ³šææ·±ãããšããããšã¯æãç«ã€; int1 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({AA}{a} & {AB}{a}); int1 -> hypothesis;"
] | ãã®ãœã«ããœãLv.53ãå
ãé£ããªããªãã°ã©ã§ãããŠå ããŠä¹ãã | ¬{AC}{cp} -> ({A}{cp} & {CG}{cp}) | [
"fact6 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ããã®ãããã¡ã
Lv.18ã¯ã©ã§ãããªãããšããããšã¯ç¢ºãã§ãã fact2: ãã®ãããã¡ã
Lv.18ã¯æ³šææ·±ã fact3: ããä»®ã«ãã®ãããã¡ã
Lv.18ãã©ã§ãããšããããšã¯ãªããšããã°åæ°ãªããæŽã«æ³šææ·±ã fact4: å
ãé£ããªãã¢ã³ã¹ã¿ãŒã¯ã©ã§ãããŠä¹ãã fact5: ãä»®ã«ãã®ãããã¡ã
Lv.18ãã©ã§ãããªããšãããšãã®ãããã¡ã
Lv.18ã¯æ³šææ·±ãããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ãããã¡ã
Lv.18ã¯åæ°ãªã ; $proof$ = | fact3 & fact1 -> int1: ããã®ãããã¡ã
Lv.18ã¯åæ°ãªããŠå ããŠæ³šææ·±ãããšããããšã¯æãç«ã€; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} fact2: {AB}{a} fact3: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact4: (x): ¬{AC}x -> ({A}x & {CG}x) fact5: ¬{A}{a} -> {AB}{a} ; $hypothesis$ = {AA}{a} ; $proof$ = | fact3 & fact1 -> int1: ({AA}{a} & {AB}{a}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ãã·ãLv.95ã¯åžãããšããããšã¯ãªããŠãããéãå§ããªã | (¬{D}{a} & ¬{B}{a}) | fact1: ä»®ã«ãã®ã·ã«ãã·ãLv.95ãéãå§ããªããªããã®ã·ã«ãã·ãLv.95ã¯åžãããªããããã«éãå§ããªã | fact1: ¬{B}{a} -> (¬{D}{a} & ¬{B}{a}) | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ã·ã«ãã·ãLv.95ãéãå§ããªããªããã®ã·ã«ãã·ãLv.95ã¯åžãããªããããã«éãå§ããªã ; $hypothesis$ = ãã®ã·ã«ãã·ãLv.95ã¯åžãããšããããšã¯ãªããŠãããéãå§ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} -> (¬{D}{a} & ¬{B}{a}) ; $hypothesis$ = (¬{D}{a} & ¬{B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã«ãLv.93ã¯æŽãåããªã | ¬{D}{c} | fact1: ããããã®ã·ãã·ã¡ã
Lv.74ãé£ãèŸãäžæ¹ã§æããããªããšããã°ãã®ãŽããŽã«ãLv.33ã¯åºãã fact2: ãã®ã·ãã·ã¡ã
Lv.74ã¯é£ãèŸããªããå ããŠæããããªã fact3: ä»®ã«åºããã¢ã³ã¹ã¿ãŒã§æŽã«éãæãã¢ã³ã¹ã¿ãŒã¯ãããšãããšããã®ãŽããŽã«ãLv.93ã¯åºæ¥æãããšããããšã¯æ¬åœã§ãã fact4: ããããã®ãŽããŽã«ãLv.93ãåºæ¥æããªãã°ãã®ãŽããŽã«ãLv.93ã¯æŽãåã fact5: ããããã®ã·ãã·ã¡ã
Lv.74ãé£ãèŸããªãããã©æããããšãããšãã®ãŽããŽã«ãLv.33ã¯åºãã fact6: ããã¢ã³ã¹ã¿ãŒã¯åºãã fact7: ãããããã®ã·ãã·ã¡ã
Lv.74ã¯é£ãèŸããªããŠæããããªãããšããããšã¯æ¬åœã§ãããšããããã®ãŽããŽã«ãLv.33ã¯åºãã fact8: ãã®ãŽããŽã«ãLv.33ã¯éãæã | fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: (¬{AA}{a} & ¬{AB}{a}) fact3: (x): ({B}x & {A}x) -> {C}{c} fact4: {C}{c} -> {D}{c} fact5: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact6: (Ex): {B}x fact7: (¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact8: {A}{b} | [
"fact7 & fact2 -> int1: ãã®ãŽããŽã«ãLv.33ã¯åºãã; int1 & fact8 -> int2: ãã®ãŽããŽã«ãLv.33ã¯åºãããŠããã¯éãæã; int2 -> int3: ããã¢ã³ã¹ã¿ãŒã¯åºãããããŸãã«éãæã; int3 & fact3 -> int4: ãã®ãŽããŽã«ãLv.93ã¯åºæ¥æã; int4 & fact4 -> hypothesis;"
] | [
"fact7 & fact2 -> int1: {B}{b}; int1 & fact8 -> int2: ({B}{b} & {A}{b}); int2 -> int3: (Ex): ({B}x & {A}x); int3 & fact3 -> int4: {C}{c}; int4 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã·ãã·ã¡ã
Lv.74ãé£ãèŸãäžæ¹ã§æããããªããšããã°ãã®ãŽããŽã«ãLv.33ã¯åºãã fact2: ãã®ã·ãã·ã¡ã
Lv.74ã¯é£ãèŸããªããå ããŠæããããªã fact3: ä»®ã«åºããã¢ã³ã¹ã¿ãŒã§æŽã«éãæãã¢ã³ã¹ã¿ãŒã¯ãããšãããšããã®ãŽããŽã«ãLv.93ã¯åºæ¥æãããšããããšã¯æ¬åœã§ãã fact4: ããããã®ãŽããŽã«ãLv.93ãåºæ¥æããªãã°ãã®ãŽããŽã«ãLv.93ã¯æŽãåã fact5: ããããã®ã·ãã·ã¡ã
Lv.74ãé£ãèŸããªãããã©æããããšãããšãã®ãŽããŽã«ãLv.33ã¯åºãã fact6: ããã¢ã³ã¹ã¿ãŒã¯åºãã fact7: ãããããã®ã·ãã·ã¡ã
Lv.74ã¯é£ãèŸããªããŠæããããªãããšããããšã¯æ¬åœã§ãããšããããã®ãŽããŽã«ãLv.33ã¯åºãã fact8: ãã®ãŽããŽã«ãLv.33ã¯éãæã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.93ã¯æŽãåããªã ; $proof$ = | fact7 & fact2 -> int1: ãã®ãŽããŽã«ãLv.33ã¯åºãã; int1 & fact8 -> int2: ãã®ãŽããŽã«ãLv.33ã¯åºãããŠããã¯éãæã; int2 -> int3: ããã¢ã³ã¹ã¿ãŒã¯åºãããããŸãã«éãæã; int3 & fact3 -> int4: ãã®ãŽããŽã«ãLv.93ã¯åºæ¥æã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact2: (¬{AA}{a} & ¬{AB}{a}) fact3: (x): ({B}x & {A}x) -> {C}{c} fact4: {C}{c} -> {D}{c} fact5: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact6: (Ex): {B}x fact7: (¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact8: {A}{b} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | fact7 & fact2 -> int1: {B}{b}; int1 & fact8 -> int2: ({B}{b} & {A}{b}); int2 -> int3: (Ex): ({B}x & {A}x); int3 & fact3 -> int4: {C}{c}; int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽã¡ã
Lv.77ã¯å¢æžåºæ¥ã | {C}{b} | fact1: ãããã®ãœããœãªLv.46ã¯æãæããªãããšããããšã¯æãç«ã€ããšããããšã¯èª€ã£ãŠãã fact2: ãã®ãœããœãªLv.46ãæãæããããŸãã«å€æ¥éé¢ããã°ãã®ãŽããŽã¡ã
Lv.77ã¯å¢æžåºæ¥ãªã fact3: ãããã®ã·ãªã·ã®Lv.55ãäžãæããªããªãããã¯èŠªããããå€æ¥éé¢ãã fact4: ãã®ãœããœãªLv.46ã¯å€æ¥éé¢ãã | fact1: {A}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: ¬{E}{at} -> ({D}{at} & {B}{at}) fact4: {B}{a} | [
"fact1 & fact4 -> int1: ãã®ãœããœãªLv.46ã¯æãæããŠããŸãã«å€æ¥éé¢ãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis;"
] | ãã®ã·ãªã·ã®Lv.55ã¯å¢æžåºæ¥ãªã | ¬{C}{at} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãœããœãªLv.46ã¯æãæããªãããšããããšã¯æãç«ã€ããšããããšã¯èª€ã£ãŠãã fact2: ãã®ãœããœãªLv.46ãæãæããããŸãã«å€æ¥éé¢ããã°ãã®ãŽããŽã¡ã
Lv.77ã¯å¢æžåºæ¥ãªã fact3: ãããã®ã·ãªã·ã®Lv.55ãäžãæããªããªãããã¯èŠªããããå€æ¥éé¢ãã fact4: ãã®ãœããœãªLv.46ã¯å€æ¥éé¢ãã ; $hypothesis$ = ãã®ãŽããŽã¡ã
Lv.77ã¯å¢æžåºæ¥ã ; $proof$ = | fact1 & fact4 -> int1: ãã®ãœããœãªLv.46ã¯æãæããŠããŸãã«å€æ¥éé¢ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: ({A}{a} & {B}{a}) -> ¬{C}{b} fact3: ¬{E}{at} -> ({D}{at} & {B}{at}) fact4: {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ãããLv.7ã¯æœã£ãã | {E}{e} | fact1: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯é²ãæãããšããããšã¯çå®ãªãã°ãå€ãæããªããŠèªæåããªãããšããããšã¯ééãã fact2: ããããã®ãŸããŸã®Lv.2ã¯èªæåããããšããããšã¯æãç«ã€ãšãããšãã®ããããLv.66ã¯é²ãæã fact3: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯å€ãæããšããããšã¯ãªããŠèªæåããªãããšããããšã¯åã§ãããšãããæœã£ãã fact4: ããä»®ã«ãã®ãŸãªãŸãLv.2ã¯æãé£ããªãããã®ããããLv.20ã¯æãé£ããšããããšã¯ãªãäžæ¹ã§æãé£ãããšããããšã¯èª€ãã§ãã fact5: ãã®ãŸããŸã®Lv.2ãå€ãæããªããã®ãŸããŸã®Lv.2ã¯èªæåãã fact6: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æãé£ããããã¯æãé£ããªãããšããããšã¯èª€ããªãé²ãæã fact7: ä»®ã«ãã®ããããLv.66ãé²ãæããšããã°ãã®ãŸãªãŸãLv.2ã¯æãé£ã fact8: ãããããã®ããããLv.20ã¯æãé£ããªããã©æãé£ãããšããããšã¯ééãã ãšãããšãã®ãã«ãããLv.7ã¯æœã£ãããªã fact9: ãã®ãŸããŸã®Lv.2ã¯å€ãæã | fact1: (x): {C}x -> ¬(¬{A}x & ¬{B}x) fact2: {B}{a} -> {C}{b} fact3: (x): ¬(¬{A}x & ¬{B}x) -> {E}x fact4: {D}{c} -> ¬(¬{F}{d} & {D}{d}) fact5: {A}{a} -> {B}{a} fact6: (x): ¬({D}x & ¬{F}x) -> {C}x fact7: {C}{b} -> {D}{c} fact8: ¬(¬{F}{d} & {D}{d}) -> ¬{E}{e} fact9: {A}{a} | [
"fact5 & fact9 -> int1: ãã®ãŸããŸã®Lv.2ã¯èªæåãã; int1 & fact2 -> int2: ãã®ããããLv.66ã¯é²ãæã; int2 & fact7 -> int3: ãã®ãŸãªãŸãLv.2ã¯æãé£ã; int3 & fact4 -> int4: ããã®ããããLv.20ã¯æãé£ããªããæãé£ãããšããããšã¯æãç«ããªã; int4 & fact8 -> hypothesis;"
] | [
"fact5 & fact9 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{b}; int2 & fact7 -> int3: {D}{c}; int3 & fact4 -> int4: ¬(¬{F}{d} & {D}{d}); int4 & fact8 -> hypothesis;"
] | ãã®ãã«ãããLv.7ã¯æœã£ãã | {E}{e} | [
"fact12 -> int5: ãããããã®ãã«ãããLv.7ã¯å€ãæããªããŠããã«èªæåããªãããšããããšã¯åœãªãã°ãã®ãã«ãããLv.7ã¯æœã£ãã; fact11 -> int6: ãã®ãã«ãããLv.7ã¯é²ãæããšããããããã¯å€ãæããªããŠãã®äžèªæåãããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã; fact10 -> int7: ããã®ãã«ãããLv.7ã¯æãé£ãããã©æãé£ããªãããšããããšã¯åã ãšãããšããã®ãã«ãããLv.7ã¯é²ãæãããšããããšã¯ç¢ºãã ;"
] | 5 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯é²ãæãããšããããšã¯çå®ãªãã°ãå€ãæããªããŠèªæåããªãããšããããšã¯ééãã fact2: ããããã®ãŸããŸã®Lv.2ã¯èªæåããããšããããšã¯æãç«ã€ãšãããšãã®ããããLv.66ã¯é²ãæã fact3: ããªãããã®ã¢ã³ã¹ã¿ãŒã¯å€ãæããšããããšã¯ãªããŠèªæåããªãããšããããšã¯åã§ãããšãããæœã£ãã fact4: ããä»®ã«ãã®ãŸãªãŸãLv.2ã¯æãé£ããªãããã®ããããLv.20ã¯æãé£ããšããããšã¯ãªãäžæ¹ã§æãé£ãããšããããšã¯èª€ãã§ãã fact5: ãã®ãŸããŸã®Lv.2ãå€ãæããªããã®ãŸããŸã®Lv.2ã¯èªæåãã fact6: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æãé£ããããã¯æãé£ããªãããšããããšã¯èª€ããªãé²ãæã fact7: ä»®ã«ãã®ããããLv.66ãé²ãæããšããã°ãã®ãŸãªãŸãLv.2ã¯æãé£ã fact8: ãããããã®ããããLv.20ã¯æãé£ããªããã©æãé£ãããšããããšã¯ééãã ãšãããšãã®ãã«ãããLv.7ã¯æœã£ãããªã fact9: ãã®ãŸããŸã®Lv.2ã¯å€ãæã ; $hypothesis$ = ãã®ãã«ãããLv.7ã¯æœã£ãã ; $proof$ = | fact5 & fact9 -> int1: ãã®ãŸããŸã®Lv.2ã¯èªæåãã; int1 & fact2 -> int2: ãã®ããããLv.66ã¯é²ãæã; int2 & fact7 -> int3: ãã®ãŸãªãŸãLv.2ã¯æãé£ã; int3 & fact4 -> int4: ããã®ããããLv.20ã¯æãé£ããªããæãé£ãããšããããšã¯æãç«ããªã; int4 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {C}x -> ¬(¬{A}x & ¬{B}x) fact2: {B}{a} -> {C}{b} fact3: (x): ¬(¬{A}x & ¬{B}x) -> {E}x fact4: {D}{c} -> ¬(¬{F}{d} & {D}{d}) fact5: {A}{a} -> {B}{a} fact6: (x): ¬({D}x & ¬{F}x) -> {C}x fact7: {C}{b} -> {D}{c} fact8: ¬(¬{F}{d} & {D}{d}) -> ¬{E}{e} fact9: {A}{a} ; $hypothesis$ = {E}{e} ; $proof$ = | fact5 & fact9 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{b}; int2 & fact7 -> int3: {D}{c}; int3 & fact4 -> int4: ¬(¬{F}{d} & {D}{d}); int4 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ããŸãLv.31ã¯åŸãæããªã | ¬{A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯åŸãæã | fact1: (x): {A}x | [
"fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯åŸãæã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯åŸãæã ; $hypothesis$ = ãã®ãŸã«ããŸãLv.31ã¯åŸãæããªã ; $proof$ = | fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯åŸãæã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœãªãœã¡ãLv.8ã¯æ¥æã | {B}{a} | fact1: ããä»®ã«ãã®ãœãªãœã¡ãLv.8ã¯åãæããã©çãé£ããšããããšã¯ãªããšããã°ããã®ãŸããŸã¡ãLv.55ã¯æ¥æãããšããããšã¯çå®ã§ãã fact2: ä»®ã«ãã®ãœãªãœã¡ãLv.8ãçãé£ããšãããšããã¯æ¥æã fact3: ãã®ãœãªãœã¡ãLv.8ã¯çãé£ã fact4: ããä»®ã«ããã®ãŽããŽãLv.17ã¯çãé£ããªãããããã¯æ¥æãããããã¯äž¡æ¹ã ããšããããšã¯åã§ãããªãã°ãã®ãœãªãœã¡ãLv.8ã¯æ¥æããªã fact5: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãæããªããšãããšãããã¯çãé£ããªãããŸãã¯æ¥æããã©ã¡ããã§ããããšããããšã¯ééãã§ãã fact6: ãããããšããã¢ã³ã¹ã¿ãŒã¯äœã¿æ¿ãããã©ããã¯å±ããªãããšããããšã¯æãç«ããªããªãã°åãæããªãããšããããšã¯æ¬åœã§ãã | fact1: ({C}{a} & ¬{A}{a}) -> {B}{fa} fact2: {A}{a} -> {B}{a} fact3: {A}{a} fact4: ¬(¬{A}{b} v {B}{b}) -> ¬{B}{a} fact5: (x): ¬{C}x -> ¬(¬{A}x v {B}x) fact6: (x): ¬({D}x & ¬{E}x) -> ¬{C}x | [
"fact3 -> int1: ãã®ãœãªãœã¡ãLv.8ã¯çãé£ã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ãŸããŸã¡ãLv.55ã¯æ¥æã | {B}{fa} | [] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãœãªãœã¡ãLv.8ã¯åãæããã©çãé£ããšããããšã¯ãªããšããã°ããã®ãŸããŸã¡ãLv.55ã¯æ¥æãããšããããšã¯çå®ã§ãã fact2: ä»®ã«ãã®ãœãªãœã¡ãLv.8ãçãé£ããšãããšããã¯æ¥æã fact3: ãã®ãœãªãœã¡ãLv.8ã¯çãé£ã fact4: ããä»®ã«ããã®ãŽããŽãLv.17ã¯çãé£ããªãããããã¯æ¥æãããããã¯äž¡æ¹ã ããšããããšã¯åã§ãããªãã°ãã®ãœãªãœã¡ãLv.8ã¯æ¥æããªã fact5: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åãæããªããšãããšãããã¯çãé£ããªãããŸãã¯æ¥æããã©ã¡ããã§ããããšããããšã¯ééãã§ãã fact6: ãããããšããã¢ã³ã¹ã¿ãŒã¯äœã¿æ¿ãããã©ããã¯å±ããªãããšããããšã¯æãç«ããªããªãã°åãæããªãããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = ãã®ãœãªãœã¡ãLv.8ã¯æ¥æã ; $proof$ = | fact3 -> int1: ãã®ãœãªãœã¡ãLv.8ã¯çãé£ã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({C}{a} & ¬{A}{a}) -> {B}{fa} fact2: {A}{a} -> {B}{a} fact3: {A}{a} fact4: ¬(¬{A}{b} v {B}{b}) -> ¬{B}{a} fact5: (x): ¬{C}x -> ¬(¬{A}x v {B}x) fact6: (x): ¬({D}x & ¬{E}x) -> ¬{C}x ; $hypothesis$ = {B}{a} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãŽããŽãLv.47äºä»¶ã¯çºçããªã | ¬{D} | fact1: ããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯çããªããå ããŠé»ã£ãœããšããããšã¯çããªãããšããããšã¯ãã®ããLv.22äºä»¶ãæã fact2: ã¿ãã¿ã«ãLv.84äºä»¶ã¯ããŸãªãŸã«Lv.95äºä»¶ãèµ·ããããšããããšãé»æ¢ãã fact3: é»ã£ãœããšããããšã¯èµ·ãããªã fact4: ãã®ããLv.22äºä»¶ã¯ãŽããŽãLv.47äºä»¶ãèµ·ãããšããããšã®ãã£ãããšãªã fact5: ä»®ã«ãããŸãªãŸãLv.18äºä»¶ã§ã¯ãªããŠå人ããããšããããšãèµ·ããããšããããšã¯æ¬åœã§ããããšããããšã¯äºå®ã§ãªããšããããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ããªã fact6: ããããé»ã£ãœããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšãããæ³åãæããšããããšã¯èµ·ãããªããããããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ãããªã fact7: ãå人ããããšããããšã¯çºçããªãããšããããšã¯ããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ããªãããšããããšãæã fact8: ããŸãªãŸãLv.18äºä»¶ã¯çºçããªããå人ããããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact9: ãŸãªãŸã«Lv.95äºä»¶ãèµ·ãããªããšããããŸãªãŸãLv.18äºä»¶ã¯çºçããªãããŸãå人ããããšããããšã¯çããªã | fact1: (¬{A} & ¬{B}) -> {C} fact2: {H} -> ¬{G} fact3: ¬{B} fact4: {C} -> {D} fact5: ¬(¬{E} & {F}) -> ¬{A} fact6: {B} -> (¬{GL} & ¬{A}) fact7: ¬{F} -> ¬{A} fact8: ¬(¬{E} & {F}) fact9: ¬{G} -> (¬{E} & ¬{F}) | [
"fact8 & fact5 -> int1: ãŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ããªã; int1 & fact3 -> int2: ãŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ãããªããŠããã«é»ã£ãœããšããããšã¯çããªã; int2 & fact1 -> int3: ãã®ããLv.22äºä»¶ãçãã; int3 & fact4 -> hypothesis;"
] | [
"fact8 & fact5 -> int1: ¬{A}; int1 & fact3 -> int2: (¬{A} & ¬{B}); int2 & fact1 -> int3: {C}; int3 & fact4 -> hypothesis;"
] | ãæ³åãæããšããããšã¯çºçããªãããšããããšã¯æ£ãã | ¬{GL} | [] | 6 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯çããªããå ããŠé»ã£ãœããšããããšã¯çããªãããšããããšã¯ãã®ããLv.22äºä»¶ãæã fact2: ã¿ãã¿ã«ãLv.84äºä»¶ã¯ããŸãªãŸã«Lv.95äºä»¶ãèµ·ããããšããããšãé»æ¢ãã fact3: é»ã£ãœããšããããšã¯èµ·ãããªã fact4: ãã®ããLv.22äºä»¶ã¯ãŽããŽãLv.47äºä»¶ãèµ·ãããšããããšã®ãã£ãããšãªã fact5: ä»®ã«ãããŸãªãŸãLv.18äºä»¶ã§ã¯ãªããŠå人ããããšããããšãèµ·ããããšããããšã¯æ¬åœã§ããããšããããšã¯äºå®ã§ãªããšããããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ããªã fact6: ããããé»ã£ãœããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšãããæ³åãæããšããããšã¯èµ·ãããªããããããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ãããªã fact7: ãå人ããããšããããšã¯çºçããªãããšããããšã¯ããŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ããªãããšããããšãæã fact8: ããŸãªãŸãLv.18äºä»¶ã¯çºçããªããå人ããããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact9: ãŸãªãŸã«Lv.95äºä»¶ãèµ·ãããªããšããããŸãªãŸãLv.18äºä»¶ã¯çºçããªãããŸãå人ããããšããããšã¯çããªã ; $hypothesis$ = ãŽããŽãLv.47äºä»¶ã¯çºçããªã ; $proof$ = | fact8 & fact5 -> int1: ãŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ããªã; int1 & fact3 -> int2: ãŽã¡ã
ãŽã«Lv.2äºä»¶ã¯èµ·ãããªããŠããã«é»ã£ãœããšããããšã¯çããªã; int2 & fact1 -> int3: ãã®ããLv.22äºä»¶ãçãã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{A} & ¬{B}) -> {C} fact2: {H} -> ¬{G} fact3: ¬{B} fact4: {C} -> {D} fact5: ¬(¬{E} & {F}) -> ¬{A} fact6: {B} -> (¬{GL} & ¬{A}) fact7: ¬{F} -> ¬{A} fact8: ¬(¬{E} & {F}) fact9: ¬{G} -> (¬{E} & ¬{F}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact8 & fact5 -> int1: ¬{A}; int1 & fact3 -> int2: (¬{A} & ¬{B}); int2 & fact1 -> int3: {C}; int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | æžããšããããšã¯èµ·ãããªã | ¬{E} | fact1: ææãããããšãçºçãã fact2: ããœã¡ããœãLv.39äºä»¶ãèµ·ããäžæ¹ã§çšã¿ä»ããããšã¯çããªãããšããããšã¯åã ãšãããšä»çœããšããããšãèµ·ãã fact3: ã空æããããšããããšã§ã¯ãªããŠææãããããšãçºçããããšããããšã¯æžããšããããšã¯çããªããšããããšãé»ã fact4: ä»çœããšããããšããããã¯ããœããœã«ã
Lv.22äºä»¶ãçºçããããšããããšã¯ã空æããããšããããšãçºçããããšããããšãé²ã fact5: ããœã¡ããœãLv.39äºä»¶ãçãããçšã¿ä»ããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã | fact1: {D} fact2: ¬({AA} & ¬{AB}) -> {B} fact3: (¬{C} & {D}) -> {E} fact4: ({B} v {A}) -> ¬{C} fact5: ¬({AA} & ¬{AB}) | [
"fact2 & fact5 -> int1: ä»çœããšããããšãçãã; int1 -> int2: ä»çœããšããããšãèµ·ããããããã¯ãœããœã«ã
Lv.22äºä»¶ãçããããããã¯äž¡æ¹ã§ãã; int2 & fact4 -> int3: 空æããããšããããšã¯çºçããªã; int3 & fact1 -> int4: 空æããããšããããšã§ã¯ãªããŠææãããããšãçºçãã; int4 & fact3 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: {B}; int1 -> int2: ({B} v {A}); int2 & fact4 -> int3: ¬{C}; int3 & fact1 -> int4: (¬{C} & {D}); int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ææãããããšãçºçãã fact2: ããœã¡ããœãLv.39äºä»¶ãèµ·ããäžæ¹ã§çšã¿ä»ããããšã¯çããªãããšããããšã¯åã ãšãããšä»çœããšããããšãèµ·ãã fact3: ã空æããããšããããšã§ã¯ãªããŠææãããããšãçºçããããšããããšã¯æžããšããããšã¯çããªããšããããšãé»ã fact4: ä»çœããšããããšããããã¯ããœããœã«ã
Lv.22äºä»¶ãçºçããããšããããšã¯ã空æããããšããããšãçºçããããšããããšãé²ã fact5: ããœã¡ããœãLv.39äºä»¶ãçãããçšã¿ä»ããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = æžããšããããšã¯èµ·ãããªã ; $proof$ = | fact2 & fact5 -> int1: ä»çœããšããããšãçãã; int1 -> int2: ä»çœããšããããšãèµ·ããããããã¯ãœããœã«ã
Lv.22äºä»¶ãçããããããã¯äž¡æ¹ã§ãã; int2 & fact4 -> int3: 空æããããšããããšã¯çºçããªã; int3 & fact1 -> int4: 空æããããšããããšã§ã¯ãªããŠææãããããšãçºçãã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D} fact2: ¬({AA} & ¬{AB}) -> {B} fact3: (¬{C} & {D}) -> {E} fact4: ({B} v {A}) -> ¬{C} fact5: ¬({AA} & ¬{AB}) ; $hypothesis$ = ¬{E} ; $proof$ = | fact2 & fact5 -> int1: {B}; int1 -> int2: ({B} v {A}); int2 & fact4 -> int3: ¬{C}; int3 & fact1 -> int4: (¬{C} & {D}); int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã«ããŽãLv.19ã¯ç Žãé£ããªããããã¯çºãŸãæããªã | (¬{D}{c} & ¬{C}{c}) | fact1: ãããã®ã·ãã·ã®Lv.30ã¯éè¿ããªããšããã°ãããã®ã·ã¡ãã·ã®Lv.59ããããç¡ãããã®äžçæããããšããããšã¯èª€ã£ãŠããããšããããšã¯ç¢ºãã fact2: ãã®ã·ã¡ãã·ã®Lv.59ãçæããªããªããã®ã·ã¡ãã·ã®Lv.59ã¯çŽ æ©ããªã fact3: ããä»®ã«ãçŽ æ©ããªããã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ãŽã«ããŽãLv.19ã¯ç Žãé£ããªããŠçºãŸãæããšããããšã¯ãªãããšããããšã¯åœã§ãã fact4: ãã®ã·ãã·ã®Lv.30ã¯éè¿ããªã fact5: ããä»®ã«ããçŽ æ©ããªãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ãŽã«ããŽãLv.19ã¯ç Žãé£ããšããããšã¯ãªããã©çºãŸãæãããšããããšã¯æãç«ããªã | fact1: ¬{A}{a} -> ¬({AA}{b} & {AB}{b}) fact2: ¬{AB}{b} -> ¬{B}{b} fact3: (x): ¬{B}x -> ¬(¬{D}{c} & ¬{C}{c}) fact4: ¬{A}{a} fact5: (x): ¬{B}x -> ¬(¬{D}{c} & {C}{c}) | [
"fact1 & fact4 -> int1: ããã®ã·ã¡ãã·ã®Lv.59ã¯ãããç¡ããçæããããšããããšã¯æ¬åœã§ãªã;"
] | [
"fact1 & fact4 -> int1: ¬({AA}{b} & {AB}{b});"
] | null | null | [] | null | 4 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ã·ãã·ã®Lv.30ã¯éè¿ããªããšããã°ãããã®ã·ã¡ãã·ã®Lv.59ããããç¡ãããã®äžçæããããšããããšã¯èª€ã£ãŠããããšããããšã¯ç¢ºãã fact2: ãã®ã·ã¡ãã·ã®Lv.59ãçæããªããªããã®ã·ã¡ãã·ã®Lv.59ã¯çŽ æ©ããªã fact3: ããä»®ã«ãçŽ æ©ããªããã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ãŽã«ããŽãLv.19ã¯ç Žãé£ããªããŠçºãŸãæããšããããšã¯ãªãããšããããšã¯åœã§ãã fact4: ãã®ã·ãã·ã®Lv.30ã¯éè¿ããªã fact5: ããä»®ã«ããçŽ æ©ããªãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ãŽã«ããŽãLv.19ã¯ç Žãé£ããšããããšã¯ãªããã©çºãŸãæãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãŽã«ããŽãLv.19ã¯ç Žãé£ããªããããã¯çºãŸãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ¬({AA}{b} & {AB}{b}) fact2: ¬{AB}{b} -> ¬{B}{b} fact3: (x): ¬{B}x -> ¬(¬{D}{c} & ¬{C}{c}) fact4: ¬{A}{a} fact5: (x): ¬{B}x -> ¬(¬{D}{c} & {C}{c}) ; $hypothesis$ = (¬{D}{c} & ¬{C}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã«ããœã«Lv.70ã¯äžãæã | {A}{a} | fact1: ãããã®ãœã«ããœã«Lv.70ã¯å°ç¡ãããšããããšã¯æãç«ãŠã°ãã®ãœã«ããœã«Lv.70ã¯å容ããªãããšããããšã¯ç¢ºãã§ãã fact2: ãã®ãŸãªãŸãªLv.64ã¯èª¿ã¹æã fact3: ä»®ã«ãã®ãœã«ããœã«Lv.70ã¯å°ç¡ããšãããããã®ãœã«ããœã«Lv.70ã¯äžãæããªãããšããããšã¯ç¢ºãã fact4: ããä»®ã«ãã®ãŸãªãŸãªLv.64ã¯å°ç¡ããªããªãããã®ãœã«ããœã«Lv.70ã¯èª¿ã¹æãããšããããšã¯çå®ã fact5: 調ã¹æããªãã¢ã³ã¹ã¿ãŒã¯å°ç¡ãããŸãã¯äžãæãããããã¯äž¡æ¹ãšãã fact6: ããã®ãŸãªãŸãªLv.64ã¯å容ããªããŠããã¯æ¹¿æ°æããªãããšããããšã¯æãç«ããªã fact7: ãããã¢ã³ã¹ã¿ãŒã¯å容ãããšããããšã¯ãªããŠããŸãã«æ¹¿æ°æããªãããšããããšã¯èª€ãã ãšãããšããã¯å°ç¡ããªã fact8: ãããã®ãŸãªãŸãªLv.64ãå°ç¡ããªããªããã®ãœã«ããœã«Lv.70ã¯å°ç¡ãã調ã¹æã | fact1: {B}{a} -> ¬{AA}{a} fact2: {C}{aa} fact3: {B}{a} -> ¬{A}{a} fact4: ¬{B}{aa} -> {C}{a} fact5: (x): ¬{C}x -> ({B}x v {A}x) fact6: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact7: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x fact8: ¬{B}{aa} -> ({B}{a} & {C}{a}) | [
"fact7 -> int1: ããã®ãŸãªãŸãªLv.64ã¯å容ãããšããããšã¯ãªãã湿æ°æããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšãã®ãŸãªãŸãªLv.64ã¯å°ç¡ããªã; int1 & fact6 -> int2: ãã®ãŸãªãŸãªLv.64ã¯å°ç¡ããªã; int2 & fact8 -> int3: ãã®ãœã«ããœã«Lv.70ã¯å°ç¡ãããŸã調ã¹æã; int3 -> int4: ãã®ãœã«ããœã«Lv.70ã¯å°ç¡ã; int4 & fact3 -> hypothesis;"
] | [
"fact7 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact6 -> int2: ¬{B}{aa}; int2 & fact8 -> int3: ({B}{a} & {C}{a}); int3 -> int4: {B}{a}; int4 & fact3 -> hypothesis;"
] | ãã®ãœã«ããœã«Lv.70ã¯äžãæã | {A}{a} | [
"fact9 -> int5: ããããã®ã·ã«ãã·ãLv.49ã調ã¹æããªããªããã®ã·ã«ãã·ãLv.49ã¯å°ç¡ãããããã¯äžãæãããããã¯äž¡æ¹ã§ãã;"
] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãœã«ããœã«Lv.70ã¯å°ç¡ãããšããããšã¯æãç«ãŠã°ãã®ãœã«ããœã«Lv.70ã¯å容ããªãããšããããšã¯ç¢ºãã§ãã fact2: ãã®ãŸãªãŸãªLv.64ã¯èª¿ã¹æã fact3: ä»®ã«ãã®ãœã«ããœã«Lv.70ã¯å°ç¡ããšãããããã®ãœã«ããœã«Lv.70ã¯äžãæããªãããšããããšã¯ç¢ºãã fact4: ããä»®ã«ãã®ãŸãªãŸãªLv.64ã¯å°ç¡ããªããªãããã®ãœã«ããœã«Lv.70ã¯èª¿ã¹æãããšããããšã¯çå®ã fact5: 調ã¹æããªãã¢ã³ã¹ã¿ãŒã¯å°ç¡ãããŸãã¯äžãæãããããã¯äž¡æ¹ãšãã fact6: ããã®ãŸãªãŸãªLv.64ã¯å容ããªããŠããã¯æ¹¿æ°æããªãããšããããšã¯æãç«ããªã fact7: ãããã¢ã³ã¹ã¿ãŒã¯å容ãããšããããšã¯ãªããŠããŸãã«æ¹¿æ°æããªãããšããããšã¯èª€ãã ãšãããšããã¯å°ç¡ããªã fact8: ãããã®ãŸãªãŸãªLv.64ãå°ç¡ããªããªããã®ãœã«ããœã«Lv.70ã¯å°ç¡ãã調ã¹æã ; $hypothesis$ = ãã®ãœã«ããœã«Lv.70ã¯äžãæã ; $proof$ = | fact7 -> int1: ããã®ãŸãªãŸãªLv.64ã¯å容ãããšããããšã¯ãªãã湿æ°æããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšãã®ãŸãªãŸãªLv.64ã¯å°ç¡ããªã; int1 & fact6 -> int2: ãã®ãŸãªãŸãªLv.64ã¯å°ç¡ããªã; int2 & fact8 -> int3: ãã®ãœã«ããœã«Lv.70ã¯å°ç¡ãããŸã調ã¹æã; int3 -> int4: ãã®ãœã«ããœã«Lv.70ã¯å°ç¡ã; int4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> ¬{AA}{a} fact2: {C}{aa} fact3: {B}{a} -> ¬{A}{a} fact4: ¬{B}{aa} -> {C}{a} fact5: (x): ¬{C}x -> ({B}x v {A}x) fact6: ¬(¬{AA}{aa} & ¬{AB}{aa}) fact7: (x): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x fact8: ¬{B}{aa} -> ({B}{a} & {C}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact7 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}; int1 & fact6 -> int2: ¬{B}{aa}; int2 & fact8 -> int3: ({B}{a} & {C}{a}); int3 -> int4: {B}{a}; int4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠãã | {A}{a} | fact1: ããã®ããªããLv.26ã¯å¿ã³å
¥ãããã€å
¥åãçµããããšããããšã¯äºå®ãšç°ãªã fact2: ãããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠãããªãã°ããã®ããªããLv.26ã¯å¿ã³å
¥ããã©ããã¯å
¥åãçµãããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«ãã®ããªããLv.26ã¯å解ããé£ããªããªãããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éããããããã¯è¬èããäž¡æ¹ãšãã§ããããšããããšã¯ç¢ºãã§ãã fact4: ããä»®ã«ããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠããããšããããšã¯æãç«ã€ãšãããããã®ããªããLv.26ã¯å¿ã³å
¥ãããããå
¥åãçµããããšããããšã¯ééãã§ãã | fact1: ¬({AA}{b} & {AB}{b}) fact2: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact3: ¬{D}{b} -> ({C}{a} v {B}{a}) fact4: {A}{a} -> ¬({AA}{b} & {AB}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠãã; fact2 & assump1 -> int1: ããã®ããªããLv.26ã¯å¿ã³å
¥ããå
¥åãçµãããªãããšããããšã¯èª€ãã ;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: ¬({AA}{b} & ¬{AB}{b});"
] | 以äžã®ããã«ä»®å®ããããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠãã | {A}{a} | [] | 4 | 4 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã®ããªããLv.26ã¯å¿ã³å
¥ãããã€å
¥åãçµããããšããããšã¯äºå®ãšç°ãªã fact2: ãããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠãããªãã°ããã®ããªããLv.26ã¯å¿ã³å
¥ããã©ããã¯å
¥åãçµãããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«ãã®ããªããLv.26ã¯å解ããé£ããªããªãããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éããããããã¯è¬èããäž¡æ¹ãšãã§ããããšããããšã¯ç¢ºãã§ãã fact4: ããä»®ã«ããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠããããšããããšã¯æãç«ã€ãšãããããã®ããªããLv.26ã¯å¿ã³å
¥ãããããå
¥åãçµããããšããããšã¯ééãã§ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã·ã¡ã
ã·ã«ã
Lv.57ã¯éŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({AA}{b} & {AB}{b}) fact2: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact3: ¬{D}{b} -> ({C}{a} v {B}{a}) fact4: {A}{a} -> ¬({AA}{b} & {AB}{b}) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ã«ã
ã·ãLv.41ã¯èµ·ããæããªããããã¯ç¡ãããšããããšã¯æãç«ããªã | ¬(¬{A}{a} & {C}{a}) | fact1: äœæäœæãããªãã¢ã³ã¹ã¿ãŒã¯çŽ³å£«ããããªããç²é«ããªã fact2: ãã®ã·ã«ã
ã·ãLv.41ã¯ç²é«ããªã fact3: å£ãé£ããªãã¢ã³ã¹ã¿ãŒã¯åãæããããŸãã«äœæäœæãã fact4: ãããšããã¢ã³ã¹ã¿ãŒãè² ããšãããå£ãé£ããªããã©ä»çãæã fact5: ä»®ã«ããã®ã¿ã«ãã¿ãLv.75ã¯ç²é«ããªãããšããããšã¯åã§ãªããšãããããã®ã·ã«ã
ã·ãLv.41ã¯èµ·ããæããªãäžæ¹ã§ç¡ãããšããããšã¯ééãã§ãã fact6: ããããã®ããªãã¡ãLv.87ãåãæããŠå ããŠäœæäœæãããªããã®ã¿ã«ãã¿ãLv.75ã¯äœæäœæãããªã fact7: ãã®ã·ã«ã
ã·ãLv.41ã¯ç¡ã | fact1: (x): ¬{E}x -> (¬{D}x & ¬{B}x) fact2: ¬{B}{a} fact3: (x): ¬{G}x -> ({F}x & {E}x) fact4: (x): {I}x -> (¬{G}x & {H}x) fact5: ¬{B}{b} -> ¬(¬{A}{a} & {C}{a}) fact6: ({F}{c} & {E}{c}) -> ¬{E}{b} fact7: {C}{a} | [] | [] | ããã®ã·ã«ã
ã·ãLv.41ã¯èµ·ããæããªããããã¯ç¡ãããšããããšã¯æãç«ããªã | ¬(¬{A}{a} & {C}{a}) | [
"fact8 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ãLv.75ãäœæäœæãããªããšãããšãã®ã¿ã«ãã¿ãLv.75ã¯çŽ³å£«ããããªããå ããŠããã¯ç²é«ããªã; fact12 -> int2: ããããã®ããªãã¡ãLv.87ãå£ãé£ããªããšããã°åãæãããã®äžäœæäœæãã; fact10 -> int3: ããããã®ããªãã¡ãLv.87ãè² ããªãããã¯å£ãé£ããªãäžæ¹ã§ä»çãæã;"
] | 8 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœæäœæãããªãã¢ã³ã¹ã¿ãŒã¯çŽ³å£«ããããªããç²é«ããªã fact2: ãã®ã·ã«ã
ã·ãLv.41ã¯ç²é«ããªã fact3: å£ãé£ããªãã¢ã³ã¹ã¿ãŒã¯åãæããããŸãã«äœæäœæãã fact4: ãããšããã¢ã³ã¹ã¿ãŒãè² ããšãããå£ãé£ããªããã©ä»çãæã fact5: ä»®ã«ããã®ã¿ã«ãã¿ãLv.75ã¯ç²é«ããªãããšããããšã¯åã§ãªããšãããããã®ã·ã«ã
ã·ãLv.41ã¯èµ·ããæããªãäžæ¹ã§ç¡ãããšããããšã¯ééãã§ãã fact6: ããããã®ããªãã¡ãLv.87ãåãæããŠå ããŠäœæäœæãããªããã®ã¿ã«ãã¿ãLv.75ã¯äœæäœæãããªã fact7: ãã®ã·ã«ã
ã·ãLv.41ã¯ç¡ã ; $hypothesis$ = ããã®ã·ã«ã
ã·ãLv.41ã¯èµ·ããæããªããããã¯ç¡ãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{E}x -> (¬{D}x & ¬{B}x) fact2: ¬{B}{a} fact3: (x): ¬{G}x -> ({F}x & {E}x) fact4: (x): {I}x -> (¬{G}x & {H}x) fact5: ¬{B}{b} -> ¬(¬{A}{a} & {C}{a}) fact6: ({F}{c} & {E}{c}) -> ¬{E}{b} fact7: {C}{a} ; $hypothesis$ = ¬(¬{A}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããœã«ããœã«Lv.3äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãã | ¬{E} | fact1: çãŒããšããããšããã³çŽåŸãé£ããšããããšãçºçãã fact2: å
¶ãã£ãœããšããããšã¯ãæ¢ãç¡ããšããããšãçºçããããšããããšã«åž°çµãã fact3: ããŸã«ããŸã®Lv.96äºä»¶ããã³ã·ãã·ãLv.26äºä»¶ãèµ·ããããšããããšã¯ãœã«ããœã«Lv.3äºä»¶ã¯èµ·ããªããšããããšãçãããã fact4: å«ãããšã¯ããŸã¡ã
ãŸã¡ãLv.75äºä»¶ã¯èµ·ãããªãããšããããšãåé¿ãã fact5: ã·ãã·ãLv.26äºä»¶ãèµ·ãã fact6: ãŸã¡ã
ãŸã¡ãLv.75äºä»¶ã¯ãŸã«ããŸã®Lv.96äºä»¶ããããã fact7: ãå«ãããšãèµ·ããããšããããšã¯äºå®ã§ãã | fact1: ({DC} & {GJ}) fact2: {BC} -> {GG} fact3: ({C} & {D}) -> ¬{E} fact4: {A} -> {B} fact5: {D} fact6: {B} -> {C} fact7: {A} | [
"fact4 & fact7 -> int1: ãŸã¡ã
ãŸã¡ãLv.75äºä»¶ãçãã; int1 & fact6 -> int2: ãŸã«ããŸã®Lv.96äºä»¶ãèµ·ãã; int2 & fact5 -> int3: ãŸã«ããŸã®Lv.96äºä»¶ãçãããããã«ã·ãã·ãLv.26äºä»¶ãçºçãã; int3 & fact3 -> hypothesis;"
] | [
"fact4 & fact7 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact5 -> int3: ({C} & {D}); int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: çãŒããšããããšããã³çŽåŸãé£ããšããããšãçºçãã fact2: å
¶ãã£ãœããšããããšã¯ãæ¢ãç¡ããšããããšãçºçããããšããããšã«åž°çµãã fact3: ããŸã«ããŸã®Lv.96äºä»¶ããã³ã·ãã·ãLv.26äºä»¶ãèµ·ããããšããããšã¯ãœã«ããœã«Lv.3äºä»¶ã¯èµ·ããªããšããããšãçãããã fact4: å«ãããšã¯ããŸã¡ã
ãŸã¡ãLv.75äºä»¶ã¯èµ·ãããªãããšããããšãåé¿ãã fact5: ã·ãã·ãLv.26äºä»¶ãèµ·ãã fact6: ãŸã¡ã
ãŸã¡ãLv.75äºä»¶ã¯ãŸã«ããŸã®Lv.96äºä»¶ããããã fact7: ãå«ãããšãèµ·ããããšããããšã¯äºå®ã§ãã ; $hypothesis$ = ããœã«ããœã«Lv.3äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãã ; $proof$ = | fact4 & fact7 -> int1: ãŸã¡ã
ãŸã¡ãLv.75äºä»¶ãçãã; int1 & fact6 -> int2: ãŸã«ããŸã®Lv.96äºä»¶ãèµ·ãã; int2 & fact5 -> int3: ãŸã«ããŸã®Lv.96äºä»¶ãçãããããã«ã·ãã·ãLv.26äºä»¶ãçºçãã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({DC} & {GJ}) fact2: {BC} -> {GG} fact3: ({C} & {D}) -> ¬{E} fact4: {A} -> {B} fact5: {D} fact6: {B} -> {C} fact7: {A} ; $hypothesis$ = ¬{E} ; $proof$ = | fact4 & fact7 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact5 -> int3: ({C} & {D}); int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ã¿ãªã¿ã«ãLv.43äºä»¶ãçãã | {A} | fact1: ãè
ç²æç¡ããšããããšã¯çããªãããšããããšã¯æãããšããããšã«åŒãèµ·ãããã fact2: ä»®ã«ããœã«ããœã«Lv.62äºä»¶ãèµ·ããããã©æãããšããããšã¯çºçããªãããšããããšã¯ééãã§ãããšãããšè
ç²æç¡ããšããããšã¯çããªã fact3: ããã·ãã·ãLv.80äºä»¶ã¯èµ·ãããªããšãããšãçæ¬ããããšããã³åœ¢å®¹ãé£ããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: è
ç²æç¡ããšããããšãçºçãã fact5: ããä»®ã«ãŽã«ãŽãLv.61äºä»¶ã¯çºçããªããšãããšãã ã ã£åºããšããããšãçºçãããç解ãæããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã fact6: ãŽããŽã¡ã
Lv.91äºä»¶ãçºçãããšãããšãè
ç²æç¡ããšããããšã¯èµ·ããªããããã«æã¡é£ããšããããšã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã | fact1: {AB} -> ¬{B} fact2: ¬({AA} & ¬{AB}) -> ¬{B} fact3: ¬{IQ} -> ¬({JI} & {AF}) fact4: {B} fact5: ¬{HK} -> ¬({T} & ¬{AC}) fact6: {D} -> ¬(¬{B} & ¬{C}) | [] | [] | 以äžã®ããã«ä»®å®ãããã¿ãªã¿ã«ãLv.43äºä»¶ã¯çããªã | ¬{A} | [] | 6 | 5 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãè
ç²æç¡ããšããããšã¯çããªãããšããããšã¯æãããšããããšã«åŒãèµ·ãããã fact2: ä»®ã«ããœã«ããœã«Lv.62äºä»¶ãèµ·ããããã©æãããšããããšã¯çºçããªãããšããããšã¯ééãã§ãããšãããšè
ç²æç¡ããšããããšã¯çããªã fact3: ããã·ãã·ãLv.80äºä»¶ã¯èµ·ãããªããšãããšãçæ¬ããããšããã³åœ¢å®¹ãé£ããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: è
ç²æç¡ããšããããšãçºçãã fact5: ããä»®ã«ãŽã«ãŽãLv.61äºä»¶ã¯çºçããªããšãããšãã ã ã£åºããšããããšãçºçãããç解ãæããšããããšã¯çºçããªãããšããããšã¯æãç«ããªã fact6: ãŽããŽã¡ã
Lv.91äºä»¶ãçºçãããšãããšãè
ç²æç¡ããšããããšã¯èµ·ããªããããã«æã¡é£ããšããããšã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ã¿ãªã¿ã«ãLv.43äºä»¶ãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AB} -> ¬{B} fact2: ¬({AA} & ¬{AB}) -> ¬{B} fact3: ¬{IQ} -> ¬({JI} & {AF}) fact4: {B} fact5: ¬{HK} -> ¬({T} & ¬{AC}) fact6: {D} -> ¬(¬{B} & ¬{C}) ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ããããšããããšã¯èµ·ãããªã | ¬{C} | fact1: 貞åããããšãçãã fact2: ããä»®ã«ãå³ããæ·±ããšããããšã§ã¯ãªããŠãœããœã®Lv.24äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã§ãªããšããã°ããããšããããšã¯çºçããªã fact3: å³ããæ·±ããšããããšãèµ·ãã fact4: ä»®ã«è¿·ãé£ããšããããšã¯çããªããªãã°ãœããœã®Lv.24äºä»¶ããã³ããããšããããšãèµ·ãã fact5: ãããç¥ãåãããšã§ã¯ãªãã¿ãã¿ã«ã
Lv.65äºä»¶ãçããããšããããšã¯èª€ãã ãšãããšãœããœãLv.55äºä»¶ã¯èµ·ãããªã | fact1: {HJ} fact2: ¬(¬{A} & {B}) -> ¬{C} fact3: {A} fact4: ¬{D} -> ({B} & {C}) fact5: ¬(¬{FS} & {IN}) -> ¬{AG} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããå³ããæ·±ããšããããšã¯èµ·ãããªããããããœããœã®Lv.24äºä»¶ãèµ·ãã; assump1 -> int1: å³ããæ·±ããšããããšã¯èµ·ãããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãå³ããæ·±ããšããããšã§ã¯ãªããœããœã®Lv.24äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: (¬{A} & {B}); assump1 -> int1: ¬{A}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{A} & {B}); int3 & fact2 -> hypothesis;"
] | ãåŠã³çŽãããšã¯èµ·ãããªãããšããããšã¯æ¬åœã | ¬{IO} | [] | 6 | 5 | 3 | 5 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 貞åããããšãçãã fact2: ããä»®ã«ãå³ããæ·±ããšããããšã§ã¯ãªããŠãœããœã®Lv.24äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã§ãªããšããã°ããããšããããšã¯çºçããªã fact3: å³ããæ·±ããšããããšãèµ·ãã fact4: ä»®ã«è¿·ãé£ããšããããšã¯çããªããªãã°ãœããœã®Lv.24äºä»¶ããã³ããããšããããšãèµ·ãã fact5: ãããç¥ãåãããšã§ã¯ãªãã¿ãã¿ã«ã
Lv.65äºä»¶ãçããããšããããšã¯èª€ãã ãšãããšãœããœãLv.55äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = ããããšããããšã¯èµ·ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããå³ããæ·±ããšããããšã¯èµ·ãããªããããããœããœã®Lv.24äºä»¶ãèµ·ãã; assump1 -> int1: å³ããæ·±ããšããããšã¯èµ·ãããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãå³ããæ·±ããšããããšã§ã¯ãªããœããœã®Lv.24äºä»¶ãèµ·ããããšããããšã¯ééã£ãŠãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {HJ} fact2: ¬(¬{A} & {B}) -> ¬{C} fact3: {A} fact4: ¬{D} -> ({B} & {C}) fact5: ¬(¬{FS} & {IN}) -> ¬{AG} ; $hypothesis$ = ¬{C} ; $proof$ = | void -> assump1: (¬{A} & {B}); assump1 -> int1: ¬{A}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬(¬{A} & {B}); int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | æ¯èŠãããšããããšãèµ·ãã | {A} | fact1: ãŸã«ã
ãŸã¡ã
Lv.69äºä»¶ã¯çºçããªã fact2: ä»®ã«ããã«ããã¡ãLv.85äºä»¶ãçºçãããæŽã«çœ¹æ£ãæããšããããšã¯çºçããããšããããšã¯ééã£ãŠãããšãããšå±éãæããšããããšã¯èµ·ããªã fact3: ããä»®ã«æ¯èŠãããšããããšã¯èµ·ããªããªããããã«ããã¡ãLv.85äºä»¶ããã³çœ¹æ£ãæããšããããšäž¡æ¹ãçããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æ¬åœã§ãã fact4: å±éãæããšããããšãçºçãã fact5: ãå±éãæããšããããšã¯çºçããªããŠæ¯èŠãããšããããšãçºçããããšããããšã¯èª€ãã§ãããªãç¥ããããšãçºçãã fact6: èŸæ°èããšããããšãèµ·ãã fact7: ä»®ã«ã眹æ£ãæããšããããšã¯çºçããªãããšããããšã¯æ£ãããšãããå±éãæããšããããšã¯çºçããªã | fact1: ¬{EN} fact2: ¬({AA} & {AB}) -> ¬{B} fact3: ¬{A} -> ¬({AA} & {AB}) fact4: {B} fact5: ¬(¬{B} & {A}) -> {AG} fact6: {FL} fact7: ¬{AB} -> ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæ¯èŠãããšããããšã¯èµ·ããªã; fact3 & assump1 -> int1: ãããã«ããã¡ãLv.85äºä»¶ãèµ·ãããæŽã«çœ¹æ£ãæããšããããšãçºçããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æ£ãã; int1 & fact2 -> int2: å±éãæããšããããšã¯èµ·ããªã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact3 & assump1 -> int1: ¬({AA} & {AB}); int1 & fact2 -> int2: ¬{B}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ç¥ããããšãçãã | {AG} | [] | 6 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŸã«ã
ãŸã¡ã
Lv.69äºä»¶ã¯çºçããªã fact2: ä»®ã«ããã«ããã¡ãLv.85äºä»¶ãçºçãããæŽã«çœ¹æ£ãæããšããããšã¯çºçããããšããããšã¯ééã£ãŠãããšãããšå±éãæããšããããšã¯èµ·ããªã fact3: ããä»®ã«æ¯èŠãããšããããšã¯èµ·ããªããªããããã«ããã¡ãLv.85äºä»¶ããã³çœ¹æ£ãæããšããããšäž¡æ¹ãçããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æ¬åœã§ãã fact4: å±éãæããšããããšãçºçãã fact5: ãå±éãæããšããããšã¯çºçããªããŠæ¯èŠãããšããããšãçºçããããšããããšã¯èª€ãã§ãããªãç¥ããããšãçºçãã fact6: èŸæ°èããšããããšãèµ·ãã fact7: ä»®ã«ã眹æ£ãæããšããããšã¯çºçããªãããšããããšã¯æ£ãããšãããå±éãæããšããããšã¯çºçããªã ; $hypothesis$ = æ¯èŠãããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããæ¯èŠãããšããããšã¯èµ·ããªã; fact3 & assump1 -> int1: ãããã«ããã¡ãLv.85äºä»¶ãèµ·ãããæŽã«çœ¹æ£ãæããšããããšãçºçããããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æ£ãã; int1 & fact2 -> int2: å±éãæããšããããšã¯èµ·ããªã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{EN} fact2: ¬({AA} & {AB}) -> ¬{B} fact3: ¬{A} -> ¬({AA} & {AB}) fact4: {B} fact5: ¬(¬{B} & {A}) -> {AG} fact6: {FL} fact7: ¬{AB} -> ¬{B} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: ¬{A}; fact3 & assump1 -> int1: ¬({AA} & {AB}); int1 & fact2 -> int2: ¬{B}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã¡ãLv.37ã¯éã
ãããªããéãæããªã | (¬{D}{c} & ¬{E}{c}) | fact1: ãããã®ãŸããŸãLv.89ãéã
ãããªããšãããšãã®ãœããœã¡ãLv.37ã¯éã
ãããªããŠéãæããªã fact2: ãã®ãœãªãœãLv.75ã¯è¡ãé£ããªã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãè¡ãé£ããªããšãããšåŸ¡èŸããªããŠããŸãã«èããšããããšã¯ãªã fact4: ä»®ã«ãã®ãœããœã®Lv.42ã¯è¡ãé£ããªãããã®ãŸããŸãLv.89ã¯åãäŒããããšããããšã¯æãç«ã€ fact5: ãã®ãŸããŸãLv.89ã¯çããªã fact6: ãããã®ãŸããŸãLv.89ãåãäŒããããããã¯ã¢ã¡ãªã«ãããããŸãã¯äž¡æ¹ãšãã ãšãããšãã®ãŸããŸãLv.89ã¯éã
ãããšããããšã¯ãªã fact7: ããããã®ãŸããŸãLv.89ãéãæããªããã®ãœããœã¡ãLv.37ã¯åãäŒãã | fact1: ¬{D}{b} -> (¬{D}{c} & ¬{E}{c}) fact2: ¬{A}{fg} fact3: (x): ¬{A}x -> (¬{S}x & ¬{EQ}x) fact4: {A}{a} -> {B}{b} fact5: ¬{EA}{b} fact6: ({B}{b} v {C}{b}) -> ¬{D}{b} fact7: {E}{b} -> {B}{c} | [] | [] | ãã®ãŽããŽãLv.85ã¯åŸ¡èŸããªããŠèããªã | (¬{S}{k} & ¬{EQ}{k}) | [
"fact8 -> int1: ããããã®ãŽããŽãLv.85ãè¡ãé£ããªããªãã°åŸ¡èŸããšããããšã¯ãªããŠãããããã¯èããªã;"
] | 5 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãŸããŸãLv.89ãéã
ãããªããšãããšãã®ãœããœã¡ãLv.37ã¯éã
ãããªããŠéãæããªã fact2: ãã®ãœãªãœãLv.75ã¯è¡ãé£ããªã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãè¡ãé£ããªããšãããšåŸ¡èŸããªããŠããŸãã«èããšããããšã¯ãªã fact4: ä»®ã«ãã®ãœããœã®Lv.42ã¯è¡ãé£ããªãããã®ãŸããŸãLv.89ã¯åãäŒããããšããããšã¯æãç«ã€ fact5: ãã®ãŸããŸãLv.89ã¯çããªã fact6: ãããã®ãŸããŸãLv.89ãåãäŒããããããã¯ã¢ã¡ãªã«ãããããŸãã¯äž¡æ¹ãšãã ãšãããšãã®ãŸããŸãLv.89ã¯éã
ãããšããããšã¯ãªã fact7: ããããã®ãŸããŸãLv.89ãéãæããªããã®ãœããœã¡ãLv.37ã¯åãäŒãã ; $hypothesis$ = ãã®ãœããœã¡ãLv.37ã¯éã
ãããªããéãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D}{b} -> (¬{D}{c} & ¬{E}{c}) fact2: ¬{A}{fg} fact3: (x): ¬{A}x -> (¬{S}x & ¬{EQ}x) fact4: {A}{a} -> {B}{b} fact5: ¬{EA}{b} fact6: ({B}{b} v {C}{b}) -> ¬{D}{b} fact7: {E}{b} -> {B}{c} ; $hypothesis$ = (¬{D}{c} & ¬{E}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãåéããæããšããããšãšè¯ãããããšãçããããšããããšã¯ééãã§ãã | ¬({A} & {B}) | fact1: ãããå§èªããããšã¯èµ·ããªããšããã°ãåéããæããšããããšãçãããããã«è¯ãããããšãèµ·ããããšããããšã¯æ¬åœã§ãªã fact2: è¯ãããããšãçºçãã fact3: åéããæããšããããšãçºçãã | fact1: ¬{C} -> ¬({A} & {B}) fact2: {B} fact3: {A} | [
"fact3 -> int1: åéããæããšããããšãçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | ãåéããæããšããããšãšè¯ãããããšãçããããšããããšã¯ééãã§ãã | ¬({A} & {B}) | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããå§èªããããšã¯èµ·ããªããšããã°ãåéããæããšããããšãçãããããã«è¯ãããããšãèµ·ããããšããããšã¯æ¬åœã§ãªã fact2: è¯ãããããšãçºçãã fact3: åéããæããšããããšãçºçãã ; $hypothesis$ = ãåéããæããšããããšãšè¯ãããããšãçããããšããããšã¯ééãã§ãã ; $proof$ = | fact3 -> int1: åéããæããšããããšãçºçãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ¬({A} & {B}) fact2: {B} fact3: {A} ; $hypothesis$ = ¬({A} & {B}) ; $proof$ = | fact3 -> int1: {A}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ã売ãé£ããšããããšãèµ·ããããšããããšã¯ã売ãé£ããšããããšãèµ·ãããã©äººããããšããããšã¯èµ·ããªãããšããããšã®ãã£ãããšãªã | {A} -> ({A} & ¬{B}) | fact1: ãŸãªãŸã®Lv.35äºä»¶ãçãã fact2: ãããœããœã«ãLv.98äºä»¶ã¯çããªããªãã°ã売ãé£ããšããããšãšäººããããšããããšãçºçããããšããããšã¯ç¢ºãã§ãªã fact3: ããä»®ã«ã売ãé£ããšããããšãšäººããããšããããšã©ã¡ãããèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšéžæãæããšããããšã¯çããªã fact4: ããä»®ã«å£²ãé£ããšããããšãèµ·ãããšãããšå£²ãé£ããšããããšããã³äººããããšããããšãçºçãã fact5: é®éåããããšã¯çºçããªã | fact1: {AL} fact2: ¬{C} -> ¬({A} & {B}) fact3: ¬({A} & {B}) -> ¬{DN} fact4: {A} -> ({A} & {B}) fact5: ¬{AF} | [] | [] | éžæãæããšããããšã¯çºçããªã | ¬{DN} | [] | 7 | 3 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŸãªãŸã®Lv.35äºä»¶ãçãã fact2: ãããœããœã«ãLv.98äºä»¶ã¯çããªããªãã°ã売ãé£ããšããããšãšäººããããšããããšãçºçããããšããããšã¯ç¢ºãã§ãªã fact3: ããä»®ã«ã売ãé£ããšããããšãšäººããããšããããšã©ã¡ãããèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšéžæãæããšããããšã¯çããªã fact4: ããä»®ã«å£²ãé£ããšããããšãèµ·ãããšãããšå£²ãé£ããšããããšããã³äººããããšããããšãçºçãã fact5: é®éåããããšã¯çºçããªã ; $hypothesis$ = ã売ãé£ããšããããšãèµ·ããããšããããšã¯ã売ãé£ããšããããšãèµ·ãããã©äººããããšããããšã¯èµ·ããªãããšããããšã®ãã£ãããšãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AL} fact2: ¬{C} -> ¬({A} & {B}) fact3: ¬({A} & {B}) -> ¬{DN} fact4: {A} -> ({A} & {B}) fact5: ¬{AF} ; $hypothesis$ = {A} -> ({A} & ¬{B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ç匵ãããšãçãã | {C} | fact1: ããœããœãLv.60äºä»¶ãçºçããªããŠããã«ã¿ãã¿ã®Lv.91äºä»¶ã¯çºçããªãããšããããšã¯ããŽããŽãLv.41äºä»¶ã¯èµ·ãããªãããšããããšãåŒãèµ·ãã fact2: ã¿ãã¿ã®Lv.91äºä»¶ãèµ·ãã fact3: ããä»®ã«ãœããœãLv.60äºä»¶ãèµ·ãããšãããç匵ãããšãçãã fact4: ç匵ãããšãçºçããªããšããããšããŸãã¯æãããšã¯èµ·ãããªããšããããšã¯ç匵ãããšãé»ã fact5: ã¿ãã¿ã®Lv.91äºä»¶ããœããœãLv.60äºä»¶ã¯èµ·ããªããšããããšã«é²ããã | fact1: (¬{A} & ¬{B}) -> ¬{T} fact2: {B} fact3: {A} -> {C} fact4: (¬{C} v ¬{D}) -> ¬{C} fact5: ¬{A} -> ¬{B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããœããœãLv.60äºä»¶ã¯çºçããªã; fact5 & assump1 -> int1: ã¿ãã¿ã®Lv.91äºä»¶ã¯èµ·ãããªã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãœããœãLv.60äºä»¶ãèµ·ãã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; fact5 & assump1 -> int1: ¬{B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact3 -> hypothesis;"
] | ãŽããŽãLv.41äºä»¶ã¯èµ·ãããªã | ¬{T} | [] | 7 | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããœããœãLv.60äºä»¶ãçºçããªããŠããã«ã¿ãã¿ã®Lv.91äºä»¶ã¯çºçããªãããšããããšã¯ããŽããŽãLv.41äºä»¶ã¯èµ·ãããªãããšããããšãåŒãèµ·ãã fact2: ã¿ãã¿ã®Lv.91äºä»¶ãèµ·ãã fact3: ããä»®ã«ãœããœãLv.60äºä»¶ãèµ·ãããšãããç匵ãããšãçãã fact4: ç匵ãããšãçºçããªããšããããšããŸãã¯æãããšã¯èµ·ãããªããšããããšã¯ç匵ãããšãé»ã fact5: ã¿ãã¿ã®Lv.91äºä»¶ããœããœãLv.60äºä»¶ã¯èµ·ããªããšããããšã«é²ããã ; $hypothesis$ = ç匵ãããšãçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããœããœãLv.60äºä»¶ã¯çºçããªã; fact5 & assump1 -> int1: ã¿ãã¿ã®Lv.91äºä»¶ã¯èµ·ãããªã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãœããœãLv.60äºä»¶ãèµ·ãã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{A} & ¬{B}) -> ¬{T} fact2: {B} fact3: {A} -> {C} fact4: (¬{C} v ¬{D}) -> ¬{C} fact5: ¬{A} -> ¬{B} ; $hypothesis$ = {C} ; $proof$ = | void -> assump1: ¬{A}; fact5 & assump1 -> int1: ¬{B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: {A}; int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | çŸããšããããšã¯çããªã | ¬{A} | fact1: ãŽã«ã
ãŽã®Lv.52äºä»¶ãèµ·ãã fact2: ããŽã«ã
ãŽã®Lv.52äºä»¶ã¯èµ·ãããªãããšããããšã¯è¿åããããšãšçŸããšããããšãçºçããã®åå ãšãªã fact3: ãŽããŽãLv.20äºä»¶ãèµ·ãã fact4: ã·ãã·ãLv.79äºä»¶ã¯èµ·ãããªããšããããšã¯ããŽããŽãLv.20äºä»¶ã¯çºçããããã©ãŽã«ã
ãŽã®Lv.52äºä»¶ã¯èµ·ãããªãããšããããšãçãããã | fact1: {B} fact2: ¬{B} -> ({CF} & {A}) fact3: {C} fact4: ¬{D} -> ({C} & ¬{B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããçŸããšããããšãçãã; assump1 & fact1 -> int1: çŸããšããããšãšãŽã«ã
ãŽã®Lv.52äºä»¶ãçãã;"
] | [
"void -> assump1: {A}; assump1 & fact1 -> int1: ({A} & {B});"
] | è¿åããããšãçºçãã | {CF} | [] | 7 | 5 | 4 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŽã«ã
ãŽã®Lv.52äºä»¶ãèµ·ãã fact2: ããŽã«ã
ãŽã®Lv.52äºä»¶ã¯èµ·ãããªãããšããããšã¯è¿åããããšãšçŸããšããããšãçºçããã®åå ãšãªã fact3: ãŽããŽãLv.20äºä»¶ãèµ·ãã fact4: ã·ãã·ãLv.79äºä»¶ã¯èµ·ãããªããšããããšã¯ããŽããŽãLv.20äºä»¶ã¯çºçããããã©ãŽã«ã
ãŽã®Lv.52äºä»¶ã¯èµ·ãããªãããšããããšãçãããã ; $hypothesis$ = çŸããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: ¬{B} -> ({CF} & {A}) fact3: {C} fact4: ¬{D} -> ({C} & ¬{B}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããå°é«ããšããããšãçãã | {B} | fact1: ã·ã£ããããããšãçãã fact2: 埡詳ãããšããããšãçºçãã fact3: ãããã·ã£ããããããšãšå°é«ããšããããšã©ã¡ãããçºçãããªã埡詳ãããšããããšã¯èµ·ãããªã fact4: ãå°é«ããšããããšãèµ·ãããã¹ãä»ãæããšããããšã¯èµ·ãããªãããšããããšã¯èª€ãã ãšãããã¹ãä»ãæããšããããšãèµ·ãã | fact1: {A} fact2: {C} fact3: ({A} & {B}) -> ¬{C} fact4: ¬({B} & ¬{EA}) -> {EA} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããå°é«ããšããããšãçãã; fact1 & assump1 -> int1: ã·ã£ããããããšãšå°é«ããšããããšäž¡æ¹ãšããèµ·ãã; int1 & fact3 -> int2: 埡詳ãããšããããšã¯èµ·ããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact1 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | ã¹ãä»ãæããšããããšãçãã | {EA} | [] | 6 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ã£ããããããšãçãã fact2: 埡詳ãããšããããšãçºçãã fact3: ãããã·ã£ããããããšãšå°é«ããšããããšã©ã¡ãããçºçãããªã埡詳ãããšããããšã¯èµ·ãããªã fact4: ãå°é«ããšããããšãèµ·ãããã¹ãä»ãæããšããããšã¯èµ·ãããªãããšããããšã¯èª€ãã ãšãããã¹ãä»ãæããšããããšãèµ·ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããå°é«ããšããããšãçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããå°é«ããšããããšãçãã; fact1 & assump1 -> int1: ã·ã£ããããããšãšå°é«ããšããããšäž¡æ¹ãšããèµ·ãã; int1 & fact3 -> int2: 埡詳ãããšããããšã¯èµ·ããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {C} fact3: ({A} & {B}) -> ¬{C} fact4: ¬({B} & ¬{EA}) -> {EA} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; fact1 & assump1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã®Lv.56ã¯åŸããæã | {E}{c} | fact1: ãããã®ãœããœãLv.54ãããããŸãããªãã建èšãããšããããã®ã·ãã·ã®Lv.56ã¯ããããŸãããªã fact2: ãããã®ãŽã«ã
ãŽãLv.16ãå¯ããšããããã®ã·ãã·ã®Lv.56ã¯åŸããæã fact3: ããããšããã¢ã³ã¹ã¿ãŒãããããŸããããããã¯å»ºèšãããäž¡æ¹ãªãã°ãã®ãŽã«ã
ãŽãLv.16ã¯å¯ã fact4: ãã®ãœããœãLv.54ãæå³æ·±ããšãããããã¯ããããŸãã fact5: ä»®ã«ãã®ã·ãã·ã®Lv.56ãåŸããæããªããã®ã·ãã·ã®Lv.56ã¯çã
ãã fact6: ã建èšãããã¢ã³ã¹ã¿ãŒãããã°ãã®ãŽã«ã
ãŽãLv.16ã¯å¯ã | fact1: (¬{B}{a} & {C}{a}) -> ¬{B}{c} fact2: {D}{b} -> {E}{c} fact3: (x): ({B}x v {C}x) -> {D}{b} fact4: {A}{a} -> {B}{a} fact5: {E}{c} -> {IR}{c} fact6: (x): {C}x -> {D}{b} | [] | [] | ãã®ã·ãã·ã®Lv.56ã¯è»œãŒã | {EQ}{c} | [] | 5 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãœããœãLv.54ãããããŸãããªãã建èšãããšããããã®ã·ãã·ã®Lv.56ã¯ããããŸãããªã fact2: ãããã®ãŽã«ã
ãŽãLv.16ãå¯ããšããããã®ã·ãã·ã®Lv.56ã¯åŸããæã fact3: ããããšããã¢ã³ã¹ã¿ãŒãããããŸããããããã¯å»ºèšãããäž¡æ¹ãªãã°ãã®ãŽã«ã
ãŽãLv.16ã¯å¯ã fact4: ãã®ãœããœãLv.54ãæå³æ·±ããšãããããã¯ããããŸãã fact5: ä»®ã«ãã®ã·ãã·ã®Lv.56ãåŸããæããªããã®ã·ãã·ã®Lv.56ã¯çã
ãã fact6: ã建èšãããã¢ã³ã¹ã¿ãŒãããã°ãã®ãŽã«ã
ãŽãLv.16ã¯å¯ã ; $hypothesis$ = ãã®ã·ãã·ã®Lv.56ã¯åŸããæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{B}{a} & {C}{a}) -> ¬{B}{c} fact2: {D}{b} -> {E}{c} fact3: (x): ({B}x v {C}x) -> {D}{b} fact4: {A}{a} -> {B}{a} fact5: {E}{c} -> {IR}{c} fact6: (x): {C}x -> {D}{b} ; $hypothesis$ = {E}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªããªãã絶çžãã | (¬{A}{a} & {B}{a}) | fact1: ãã®ãŸã«ããŸãLv.61ã¯çµ¶çžãã fact2: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çŸããé£ããšããããšã¯ãªããªããããã¯æ¥µãŸãæªããªããããã¯çµ¶çžããããšããããšã¯ééã£ãŠããããšããããšã¯çå®ã§ãã fact3: ããã®ãŽã«ããŽã¡ã
Lv.40ã¯è£äœããªãããããã¯ãã£ããªãããšããããšã¯ééãã fact4: ãããä»®ã«ãã®ãŸã«ããŸãLv.61ã極ãŸãæªããšãããšãã®ãŽã«ããŽã¡ã
Lv.40ã¯è£äœããªãããã£ããªãããããã¯ã©ã¡ããã ããšããããšã¯çå®ã§ãã | fact1: {B}{a} fact2: (x): ¬{C}x -> ¬(¬{A}x & {B}x) fact3: ¬(¬{AA}{b} v {AB}{b}) fact4: {A}{a} -> (¬{AA}{b} v {AB}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªã; fact4 & assump1 -> int1: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯è£äœããªãããŸãã¯ãã£ããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªããªã; int3 & fact1 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact4 & assump1 -> int1: (¬{AA}{b} v {AB}{b}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact1 -> hypothesis;"
] | ãããã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªããšããããšã¯ãªãäžæ¹ã§ããã¯çµ¶çžããããšããããšã¯åã ããšããããšã¯æãç«ã€ | ¬(¬{A}{a} & {B}{a}) | [
"fact5 -> int4: ããä»®ã«ãã®ãŸã«ããŸãLv.61ã¯çŸããé£ããªããšãããšãããã¯æ¥µãŸãæªããªãäžæ¹ã§çµ¶çžããããšããããšã¯èª€ã£ãŠãã;"
] | 4 | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸã«ããŸãLv.61ã¯çµ¶çžãã fact2: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çŸããé£ããšããããšã¯ãªããªããããã¯æ¥µãŸãæªããªããããã¯çµ¶çžããããšããããšã¯ééã£ãŠããããšããããšã¯çå®ã§ãã fact3: ããã®ãŽã«ããŽã¡ã
Lv.40ã¯è£äœããªãããããã¯ãã£ããªãããšããããšã¯ééãã fact4: ãããä»®ã«ãã®ãŸã«ããŸãLv.61ã極ãŸãæªããšãããšãã®ãŽã«ããŽã¡ã
Lv.40ã¯è£äœããªãããã£ããªãããããã¯ã©ã¡ããã ããšããããšã¯çå®ã§ãã ; $hypothesis$ = ãã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªããªãã絶çžãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªã; fact4 & assump1 -> int1: ãã®ãŽã«ããŽã¡ã
Lv.40ã¯è£äœããªãããŸãã¯ãã£ããªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸã«ããŸãLv.61ã¯æ¥µãŸãæªããªã; int3 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: (x): ¬{C}x -> ¬(¬{A}x & {B}x) fact3: ¬(¬{AA}{b} v {AB}{b}) fact4: {A}{a} -> (¬{AA}{b} v {AB}{b}) ; $hypothesis$ = (¬{A}{a} & {B}{a}) ; $proof$ = | void -> assump1: {A}{a}; fact4 & assump1 -> int1: (¬{AA}{b} v {AB}{b}); int1 & fact3 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact1 -> hypothesis; __PROVED__ |
0.3 | ã¯ãªã¢ãŒããããšãèµ·ãã | {A} | fact1: æããé£ããšããããšãçãããçŽ äººã£ãœããšããããšã¯èµ·ãããªã fact2: ãããŸã«ã
ãŸã¡ãLv.0äºä»¶ãèµ·ãããæŽã«ææ
šæ·±ããšããããšãèµ·ãããšãããã溶ãåºãããšãçããããšããããšã¯æãç«ã€ fact3: ãæèäŒã£ãœããšããããšã¯çããªãããšããããšã¯ã倪ããšããããšãèµ·ãããæ±ãé£ããšããããšã¯èµ·ãããªãããšããããšã«é»ãŸãã fact4: æããé£ããšããããšãçºçãã fact5: æž
ããšããããšãçãã fact6: ãŸããŸã«ãLv.11äºä»¶ãèµ·ãã | fact1: ({AA} & ¬{AB}) fact2: ({DO} & {AG}) -> {CU} fact3: ({JD} & ¬{IT}) -> {EU} fact4: {AA} fact5: {BS} fact6: {FD} | [
"fact1 -> int1: æããé£ããšããããšãçãããçŽ äººã£ãœããšããããšã¯èµ·ãããªã;"
] | [
"fact1 -> int1: ({AA} & ¬{AB});"
] | null | null | [] | null | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: æããé£ããšããããšãçãããçŽ äººã£ãœããšããããšã¯èµ·ãããªã fact2: ãããŸã«ã
ãŸã¡ãLv.0äºä»¶ãèµ·ãããæŽã«ææ
šæ·±ããšããããšãèµ·ãããšãããã溶ãåºãããšãçããããšããããšã¯æãç«ã€ fact3: ãæèäŒã£ãœããšããããšã¯çããªãããšããããšã¯ã倪ããšããããšãèµ·ãããæ±ãé£ããšããããšã¯èµ·ãããªãããšããããšã«é»ãŸãã fact4: æããé£ããšããããšãçºçãã fact5: æž
ããšããããšãçãã fact6: ãŸããŸã«ãLv.11äºä»¶ãèµ·ãã ; $hypothesis$ = ã¯ãªã¢ãŒããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({AA} & ¬{AB}) fact2: ({DO} & {AG}) -> {CU} fact3: ({JD} & ¬{IT}) -> {EU} fact4: {AA} fact5: {BS} fact6: {FD} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ã | {AA}{a} | fact1: ãããããã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ããªãããããåäœããããšããããšã¯ç¢ºãã ããšããããšã¯èª€ã£ãŠããã°ãã®ãœã¡ã
ãœãLv.61ã¯åŸ¡å匷ããªã fact2: ããä»®ã«ããã®ã¿ã«ãã¿ãªLv.53ã¯é£ãããŠå ããŠæ°æ¥ããããããšããããšã¯ç¢ºãã§ãªããšãããšãããã¯èªã¿æããªãããšããããšã¯çå®ã fact3: å£æããã¢ã³ã¹ã¿ãŒã¯èŠãé£ã fact4: ããã®ãŸããŸãLv.72ã¯äžããé£ããªãããããããã¯ä»ãæãããšããããšã¯ééãã fact5: ãã®ã¿ã«ãã¿ãªLv.53ãèªã¿æããªããªãå£æããããŸãã¯åŸ¡å匷ãã fact6: ãããããã®ãœã¡ã
ãœãLv.61ã¯åäœããªããã©ããã¯ç®ãŸããããããšããããšã¯æãç«ããªããšãããšãã®ãœã¡ã
ãœãLv.61ã¯å£æãããªã | fact1: ¬(¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact2: ¬({D}{b} & {E}{b}) -> ¬{C}{b} fact3: (x): {A}x -> {AA}x fact4: ¬(¬{EM}{dg} & {AM}{dg}) fact5: ¬{C}{b} -> ({A}{b} v {B}{b}) fact6: ¬(¬{AB}{a} & {DT}{a}) -> ¬{A}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ããšããããšã¯ãªãããã©åäœããããšããããšã¯æãç«ããªã; fact1 & assump1 -> int1: ããã®ãœã¡ã
ãœãLv.61ã¯åŸ¡å匷ãããšããããšã¯ãªãããšããããšã¯ééãã§ãããšããããšã¯ãªã;"
] | [
"void -> assump1: ¬(¬{AA}{a} & {AB}{a}); fact1 & assump1 -> int1: ¬{B}{a};"
] | ãã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ã | {AA}{a} | [
"fact7 -> int2: ããããã®ãœã¡ã
ãœãLv.61ãå£æãããšããããã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ã;"
] | 6 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ããªãããããåäœããããšããããšã¯ç¢ºãã ããšããããšã¯èª€ã£ãŠããã°ãã®ãœã¡ã
ãœãLv.61ã¯åŸ¡å匷ããªã fact2: ããä»®ã«ããã®ã¿ã«ãã¿ãªLv.53ã¯é£ãããŠå ããŠæ°æ¥ããããããšããããšã¯ç¢ºãã§ãªããšãããšãããã¯èªã¿æããªãããšããããšã¯çå®ã fact3: å£æããã¢ã³ã¹ã¿ãŒã¯èŠãé£ã fact4: ããã®ãŸããŸãLv.72ã¯äžããé£ããªãããããããã¯ä»ãæãããšããããšã¯ééãã fact5: ãã®ã¿ã«ãã¿ãªLv.53ãèªã¿æããªããªãå£æããããŸãã¯åŸ¡å匷ãã fact6: ãããããã®ãœã¡ã
ãœãLv.61ã¯åäœããªããã©ããã¯ç®ãŸããããããšããããšã¯æãç«ããªããšãããšãã®ãœã¡ã
ãœãLv.61ã¯å£æãããªã ; $hypothesis$ = ãã®ãœã¡ã
ãœãLv.61ã¯èŠãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact2: ¬({D}{b} & {E}{b}) -> ¬{C}{b} fact3: (x): {A}x -> {AA}x fact4: ¬(¬{EM}{dg} & {AM}{dg}) fact5: ¬{C}{b} -> ({A}{b} v {B}{b}) fact6: ¬(¬{AB}{a} & {DT}{a}) -> ¬{A}{a} ; $hypothesis$ = {AA}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«Lv.62ã¯éŠã°ãããªã | ¬{A}{b} | fact1: ããã®ã¿ãã¿ã«Lv.62ã¯äººéèããªãã°ããã®ã¿ãã¿ã«Lv.62ã¯éŠã°ããããšããããšã¯äºå®ã ããšããããšã¯çå®ã fact2: ããã®ãŸã¡ããŸã«ã
Lv.73ã¯è³ã
ãããã©åãé£ããªãããšããããšã¯æãç«ããªã fact3: ããã®ãŸã¡ããŸã«ã
Lv.73ã¯è³ã
ãããªãããããããã¯åãé£ããªãããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ã¿ãã¿ã«Lv.62ã¯äººéèã fact4: ããä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.73ã¯è³ã
ãããšããã°ããã®ã¿ãã¿ã«Lv.62ã¯äººéèãããšããããšã¯æãç«ã€ | fact1: {B}{b} -> {A}{b} fact2: ¬({AA}{a} & ¬{AB}{a}) fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact4: {AA}{a} -> {B}{b} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ã¿ãã¿ã«Lv.62ã¯äººéèããªãã°ããã®ã¿ãã¿ã«Lv.62ã¯éŠã°ããããšããããšã¯äºå®ã ããšããããšã¯çå®ã fact2: ããã®ãŸã¡ããŸã«ã
Lv.73ã¯è³ã
ãããã©åãé£ããªãããšããããšã¯æãç«ããªã fact3: ããã®ãŸã¡ããŸã«ã
Lv.73ã¯è³ã
ãããªãããããããã¯åãé£ããªãããšããããšã¯äºå®ãšç°ãªããšããã°ãã®ã¿ãã¿ã«Lv.62ã¯äººéèã fact4: ããä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.73ã¯è³ã
ãããšããã°ããã®ã¿ãã¿ã«Lv.62ã¯äººéèãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ã¿ãã¿ã«Lv.62ã¯éŠã°ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{b} -> {A}{b} fact2: ¬({AA}{a} & ¬{AB}{a}) fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> {B}{b} fact4: {AA}{a} -> {B}{b} ; $hypothesis$ = ¬{A}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ããŽãLv.25ã¯é
ã | {A}{a} | fact1: ä»®ã«ãã®ãŽã«ããŽãLv.25ãé
ããšããããšã¯ãªããšããã°ããã¯éããªã fact2: ãã®ãœã«ãœã«Lv.18ã¯éã fact3: ãã®ãŸã«ããŸãLv.96ã¯é
ã fact4: ããããã®ãœã®ãœãªLv.74ãéãããããã¯ãããé
ããäž¡æ¹ã§ãããšããããã®ãŽã«ããŽãLv.25ã¯é
ããªã | fact1: ¬{A}{a} -> ¬{B}{a} fact2: {B}{hh} fact3: {A}{ce} fact4: ({B}{b} v {A}{b}) -> ¬{A}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽãLv.25ã¯é
ããªã; fact1 & assump1 -> int1: ãã®ãŽã«ããŽãLv.25ã¯éããšããããšã¯ãªã;"
] | [
"void -> assump1: ¬{A}{a}; fact1 & assump1 -> int1: ¬{B}{a};"
] | 以äžã®ããã«ä»®å®ããããã®ãŽã«ããŽãLv.25ã¯é
ããªã | ¬{A}{a} | [] | 6 | 4 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãŽã«ããŽãLv.25ãé
ããšããããšã¯ãªããšããã°ããã¯éããªã fact2: ãã®ãœã«ãœã«Lv.18ã¯éã fact3: ãã®ãŸã«ããŸãLv.96ã¯é
ã fact4: ããããã®ãœã®ãœãªLv.74ãéãããããã¯ãããé
ããäž¡æ¹ã§ãããšããããã®ãŽã«ããŽãLv.25ã¯é
ããªã ; $hypothesis$ = ãã®ãŽã«ããŽãLv.25ã¯é
ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ¬{B}{a} fact2: {B}{hh} fact3: {A}{ce} fact4: ({B}{b} v {A}{b}) -> ¬{A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽããŽãLv.21ã¯æãããããããã空æãããããšããããšã¯åœã | ¬({E}{a} & {F}{a}) | fact1: ãã®ãŽããŽãLv.21ããŸã©ãã£ããããªããã®ãŽããŽãLv.21ã¯æãããã fact2: ä»®ã«ãã®ãŽããŽãLv.21ã¯åããŸãããŠæŽã«åŸ
ã¡é ãããªãã°éžãããšããããšã¯ãªã fact3: ä»®ã«ãã®ãŽããŽãLv.21ãæäœãæããšããããã®ãŽããŽãLv.21ã¯åããŸãã fact4: ããã®ãŽããŽãLv.21ã¯æäœãæãããšããããšã¯æãç«ã€ fact5: ããããã®ãŽããŽãLv.21ãéžãããªããšããã°ãã®ãŽããŽãLv.21ã¯æããããããããããã¯ç©ºæããã fact6: ãã®ã·ã¡ãã·ãªLv.29ã¯æäœãæã fact7: ããã®ãŽããŽãLv.21ã¯åŸ
ã¡é ããããšããããšã¯äºå®ã | fact1: {BC}{a} -> {E}{a} fact2: ({B}{a} & {C}{a}) -> ¬{D}{a} fact3: {A}{a} -> {B}{a} fact4: {A}{a} fact5: ¬{D}{a} -> ({E}{a} & {F}{a}) fact6: {A}{da} fact7: {C}{a} | [
"fact3 & fact4 -> int1: ãã®ãŽããŽãLv.21ã¯åããŸãã; int1 & fact7 -> int2: ãã®ãŽããŽãLv.21ã¯åããŸãããŠããã«ããã¯åŸ
ã¡é ãã; int2 & fact2 -> int3: ãã®ãŽããŽãLv.21ã¯éžãããªã; int3 & fact5 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: {B}{a}; int1 & fact7 -> int2: ({B}{a} & {C}{a}); int2 & fact2 -> int3: ¬{D}{a}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽããŽãLv.21ããŸã©ãã£ããããªããã®ãŽããŽãLv.21ã¯æãããã fact2: ä»®ã«ãã®ãŽããŽãLv.21ã¯åããŸãããŠæŽã«åŸ
ã¡é ãããªãã°éžãããšããããšã¯ãªã fact3: ä»®ã«ãã®ãŽããŽãLv.21ãæäœãæããšããããã®ãŽããŽãLv.21ã¯åããŸãã fact4: ããã®ãŽããŽãLv.21ã¯æäœãæãããšããããšã¯æãç«ã€ fact5: ããããã®ãŽããŽãLv.21ãéžãããªããšããã°ãã®ãŽããŽãLv.21ã¯æããããããããããã¯ç©ºæããã fact6: ãã®ã·ã¡ãã·ãªLv.29ã¯æäœãæã fact7: ããã®ãŽããŽãLv.21ã¯åŸ
ã¡é ããããšããããšã¯äºå®ã ; $hypothesis$ = ããã®ãŽããŽãLv.21ã¯æãããããããã空æãããããšããããšã¯åœã ; $proof$ = | fact3 & fact4 -> int1: ãã®ãŽããŽãLv.21ã¯åããŸãã; int1 & fact7 -> int2: ãã®ãŽããŽãLv.21ã¯åããŸãããŠããã«ããã¯åŸ
ã¡é ãã; int2 & fact2 -> int3: ãã®ãŽããŽãLv.21ã¯éžãããªã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {BC}{a} -> {E}{a} fact2: ({B}{a} & {C}{a}) -> ¬{D}{a} fact3: {A}{a} -> {B}{a} fact4: {A}{a} fact5: ¬{D}{a} -> ({E}{a} & {F}{a}) fact6: {A}{da} fact7: {C}{a} ; $hypothesis$ = ¬({E}{a} & {F}{a}) ; $proof$ = | fact3 & fact4 -> int1: {B}{a}; int1 & fact7 -> int2: ({B}{a} & {C}{a}); int2 & fact2 -> int3: ¬{D}{a}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãããœããœãLv.56äºä»¶ã¯èµ·ããªãããããã€ã¡ãŒãžãæããšããããšãèµ·ããããšããããšã¯ããœããœãLv.56äºä»¶ã¯èµ·ãããªãããšããããšã«èµ·å ããããšããããšã¯æãç«ããªã | ¬(¬{A} -> (¬{A} & {B})) | [] | [] | null | null | [] | null | 3 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = ; $hypothesis$ = ãããœããœãLv.56äºä»¶ã¯èµ·ããªãããããã€ã¡ãŒãžãæããšããããšãèµ·ããããšããããšã¯ããœããœãLv.56äºä»¶ã¯èµ·ãããªãããšããããšã«èµ·å ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = ; $hypothesis$ = ¬(¬{A} -> (¬{A} & {B})) ; $proof$ = | __UNKNOWN__ |
||
0.3 | ãã®ã¿ãã¿ãªLv.90ã¯èœç±ããšããããšã¯ãªã | ¬{AA}{a} | fact1: ããããã®ã¿ã¡ãã¿ãLv.94ãå€ããæããªããªããã®ã¿ãã¿ãªLv.90ã¯èœç±ããæ瞊åºæ¥ã | fact1: ¬{B}{b} -> ({AA}{a} & {A}{a}) | [] | [] | ããã®ã¿ãã¿ãªLv.90ã¯èœç±ãããšããããšã¯æ¬åœã§ãã | {AA}{a} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ã¿ã¡ãã¿ãLv.94ãå€ããæããªããªããã®ã¿ãã¿ãªLv.90ã¯èœç±ããæ瞊åºæ¥ã ; $hypothesis$ = ãã®ã¿ãã¿ãªLv.90ã¯èœç±ããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{b} -> ({AA}{a} & {A}{a}) ; $hypothesis$ = ¬{AA}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ãã·ã«ãLv.50äºä»¶ã¯ãæãé£ããšããããšã¯èµ·ããªãããšããããšã«ç¹ãã | {A} -> ¬{D} | fact1: ããœã«ãœãLv.38äºä»¶ã¯èµ·ããªãããšããããšã¯ã·ãã·ã«ãLv.50äºä»¶ã«é²ããã fact2: ã·ãã·ã«ãLv.50äºä»¶ã¯ãæãé£ããšããããšã¯èµ·ããªãããšããããšãé»ã fact3: åºããšããããšã¯èªããããšããããšãçºçãããšããããšãæã fact4: ä»®ã«ãœã«ãœãLv.38äºä»¶ããŸãã¯æ
ã¿æ·±ããšããããšãèµ·ãããšããããæãé£ããšããããšã¯çºçããªãããšããããšã¯ç¢ºãã§ãã | fact1: {A} -> {B} fact2: {A} -> {D} fact3: {IM} -> {II} fact4: ({B} v {C}) -> ¬{D} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã«ãLv.50äºä»¶ãèµ·ãã; fact1 & assump1 -> int1: ãœã«ãœãLv.38äºä»¶ãèµ·ãã; int1 -> int2: ãœã«ãœãLv.38äºä»¶ããããã¯æ
ã¿æ·±ããšããããšããŸãã¯äž¡æ¹ãçãã; int2 & fact4 -> int3: æãé£ããšããããšã¯çããªã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact4 -> int3: ¬{D}; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ããœã«ãœãLv.38äºä»¶ã¯èµ·ããªãããšããããšã¯ã·ãã·ã«ãLv.50äºä»¶ã«é²ããã fact2: ã·ãã·ã«ãLv.50äºä»¶ã¯ãæãé£ããšããããšã¯èµ·ããªãããšããããšãé»ã fact3: åºããšããããšã¯èªããããšããããšãçºçãããšããããšãæã fact4: ä»®ã«ãœã«ãœãLv.38äºä»¶ããŸãã¯æ
ã¿æ·±ããšããããšãèµ·ãããšããããæãé£ããšããããšã¯çºçããªãããšããããšã¯ç¢ºãã§ãã ; $hypothesis$ = ã·ãã·ã«ãLv.50äºä»¶ã¯ãæãé£ããšããããšã¯èµ·ããªãããšããããšã«ç¹ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã«ãLv.50äºä»¶ãèµ·ãã; fact1 & assump1 -> int1: ãœã«ãœãLv.38äºä»¶ãèµ·ãã; int1 -> int2: ãœã«ãœãLv.38äºä»¶ããããã¯æ
ã¿æ·±ããšããããšããŸãã¯äž¡æ¹ãçãã; int2 & fact4 -> int3: æãé£ããšããããšã¯çããªã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: {A} -> {D} fact3: {IM} -> {II} fact4: ({B} v {C}) -> ¬{D} ; $hypothesis$ = {A} -> ¬{D} ; $proof$ = | void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact4 -> int3: ¬{D}; [assump1] & int3 -> hypothesis; __PROVED__ |