TSTP Solution File: GEO573+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:00:59 EDT 2022
% Result : Theorem 123.21s 123.43s
% Output : Refutation 123.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 07:11:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 123.21/123.43 # Version: 1.3
% 123.21/123.43 # SZS status Theorem
% 123.21/123.43 # SZS output start CNFRefutation
% 123.21/123.43 fof(exemplo6GDDFULL214035,conjecture,(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![K]:(![H]:(![NWPNT1]:(((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&circle(O,C,K,NWPNT1))&coll(K,C,D))&coll(H,C,D))&coll(H,B,E))=>cong(A,K,A,H))))))))))),input).
% 123.21/123.43 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![K]:(![H]:(![NWPNT1]:(((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&circle(O,C,K,NWPNT1))&coll(K,C,D))&coll(H,C,D))&coll(H,B,E))=>cong(A,K,A,H)))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL214035])).
% 123.21/123.43 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(?[K]:(?[H]:(?[NWPNT1]:(((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&circle(O,C,K,NWPNT1))&coll(K,C,D))&coll(H,C,D))&coll(H,B,E))&~cong(A,K,A,H))))))))))),inference(fof_nnf,status(thm),[c11])).
% 123.21/123.43 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(?[K]:(?[H]:(((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&(?[NWPNT1]:circle(O,C,K,NWPNT1)))&coll(K,C,D))&coll(H,C,D))&coll(H,B,E))&~cong(A,K,A,H)))))))))),inference(shift_quantors,status(thm),[c12])).
% 123.21/123.43 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:(((((((((circle(X5,X2,X3,X4)&perp(X6,X4,X2,X3))&coll(X6,X2,X3))&perp(X7,X3,X2,X4))&coll(X7,X2,X4))&(?[X10]:circle(X5,X4,X8,X10)))&coll(X8,X4,X6))&coll(X9,X4,X6))&coll(X9,X3,X7))&~cong(X2,X8,X2,X9)))))))))),inference(variable_rename,status(thm),[c13])).
% 123.21/123.43 fof(c15,negated_conjecture,(((((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&perp(skolem0005,skolem0003,skolem0001,skolem0002))&coll(skolem0005,skolem0001,skolem0002))&perp(skolem0006,skolem0002,skolem0001,skolem0003))&coll(skolem0006,skolem0001,skolem0003))&circle(skolem0004,skolem0003,skolem0007,skolem0009))&coll(skolem0007,skolem0003,skolem0005))&coll(skolem0008,skolem0003,skolem0005))&coll(skolem0008,skolem0002,skolem0006))&~cong(skolem0001,skolem0007,skolem0001,skolem0008)),inference(skolemize,status(esa),[c14])).
% 123.21/123.44 cnf(c25,negated_conjecture,~cong(skolem0001,skolem0007,skolem0001,skolem0008),inference(split_conjunct,status(thm),[c15])).
% 123.21/123.44 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 123.21/123.44 fof(c340,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 123.21/123.44 fof(c341,axiom,(![X411]:(![X412]:(![X413]:(![X414]:(~cong(X411,X412,X413,X414)|cong(X411,X412,X414,X413)))))),inference(variable_rename,status(thm),[c340])).
% 123.21/123.44 cnf(c342,axiom,~cong(X692,X689,X691,X690)|cong(X692,X689,X690,X691),inference(split_conjunct,status(thm),[c341])).
% 123.21/123.44 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 123.21/123.44 fof(c337,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 123.21/123.44 fof(c338,axiom,(![X407]:(![X408]:(![X409]:(![X410]:(~cong(X407,X408,X409,X410)|cong(X409,X410,X407,X408)))))),inference(variable_rename,status(thm),[c337])).
% 123.21/123.44 cnf(c339,axiom,~cong(X685,X688,X686,X687)|cong(X686,X687,X685,X688),inference(split_conjunct,status(thm),[c338])).
% 123.21/123.44 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 123.21/123.44 fof(c240,axiom,(![A]:(![B]:(![C]:(![M]:((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M)))))),inference(fof_nnf,status(thm),[ruleD52])).
% 123.21/123.44 fof(c241,axiom,(![X233]:(![X234]:(![X235]:(![X236]:((~perp(X233,X234,X234,X235)|~midp(X236,X233,X235))|cong(X233,X236,X234,X236)))))),inference(variable_rename,status(thm),[c240])).
% 123.21/123.44 cnf(c242,axiom,~perp(X1015,X1013,X1013,X1012)|~midp(X1014,X1015,X1012)|cong(X1015,X1014,X1013,X1014),inference(split_conjunct,status(thm),[c241])).
% 123.21/123.44 fof(ruleD74,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)&perp(P,Q,U,V))=>perp(A,B,C,D)))))))))),input).
% 123.21/123.44 fof(c161,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD74])).
% 123.21/123.44 fof(c162,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))))))|perp(A,B,C,D)))))),inference(shift_quantors,status(thm),[c161])).
% 123.21/123.44 fof(c164,axiom,(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:(![X132]:(![X133]:((~eqangle(X126,X127,X128,X129,X130,X131,X132,X133)|~perp(X130,X131,X132,X133))|perp(X126,X127,X128,X129)))))))))),inference(shift_quantors,status(thm),[fof(c163,axiom,(![X126]:(![X127]:(![X128]:(![X129]:((![X130]:(![X131]:(![X132]:(![X133]:(~eqangle(X126,X127,X128,X129,X130,X131,X132,X133)|~perp(X130,X131,X132,X133))))))|perp(X126,X127,X128,X129)))))),inference(variable_rename,status(thm),[c162])).])).
% 123.21/123.44 cnf(c165,axiom,~eqangle(X913,X919,X914,X917,X912,X916,X918,X915)|~perp(X912,X916,X918,X915)|perp(X913,X919,X914,X917),inference(split_conjunct,status(thm),[c164])).
% 123.21/123.44 fof(ruleD21,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(A,B,P,Q,C,D,U,V)))))))))),input).
% 123.21/123.44 fof(c346,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD21])).
% 123.21/123.44 fof(c347,axiom,(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(![X433]:(![X434]:(~eqangle(X427,X428,X429,X430,X431,X432,X433,X434)|eqangle(X427,X428,X431,X432,X429,X430,X433,X434)))))))))),inference(variable_rename,status(thm),[c346])).
% 123.21/123.44 cnf(c348,axiom,~eqangle(X1211,X1216,X1212,X1215,X1213,X1217,X1214,X1210)|eqangle(X1211,X1216,X1213,X1217,X1212,X1215,X1214,X1210),inference(split_conjunct,status(thm),[c347])).
% 123.21/123.44 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 123.21/123.44 fof(c283,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD40])).
% 123.21/123.44 fof(c284,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|(![P]:(![Q]:eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(shift_quantors,status(thm),[c283])).
% 123.21/123.44 fof(c286,axiom,(![X291]:(![X292]:(![X293]:(![X294]:(![X295]:(![X296]:(~para(X291,X292,X293,X294)|eqangle(X291,X292,X295,X296,X293,X294,X295,X296)))))))),inference(shift_quantors,status(thm),[fof(c285,axiom,(![X291]:(![X292]:(![X293]:(![X294]:(~para(X291,X292,X293,X294)|(![X295]:(![X296]:eqangle(X291,X292,X295,X296,X293,X294,X295,X296)))))))),inference(variable_rename,status(thm),[c284])).])).
% 123.21/123.44 cnf(c287,axiom,~para(X1079,X1077,X1076,X1075)|eqangle(X1079,X1077,X1080,X1078,X1076,X1075,X1080,X1078),inference(split_conjunct,status(thm),[c286])).
% 123.21/123.44 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 123.21/123.44 fof(c399,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 123.21/123.44 fof(c400,axiom,(![X518]:(![X519]:(![X520]:(![X521]:(~para(X518,X519,X520,X521)|para(X518,X519,X521,X520)))))),inference(variable_rename,status(thm),[c399])).
% 123.21/123.44 cnf(c401,axiom,~para(X761,X760,X759,X762)|para(X761,X760,X762,X759),inference(split_conjunct,status(thm),[c400])).
% 123.21/123.44 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 123.21/123.44 fof(c288,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D)))))))),inference(fof_nnf,status(thm),[ruleD39])).
% 123.21/123.44 fof(c289,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:~eqangle(A,B,P,Q,C,D,P,Q)))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c288])).
% 123.21/123.44 fof(c291,axiom,(![X297]:(![X298]:(![X299]:(![X300]:(![X301]:(![X302]:(~eqangle(X297,X298,X301,X302,X299,X300,X301,X302)|para(X297,X298,X299,X300)))))))),inference(shift_quantors,status(thm),[fof(c290,axiom,(![X297]:(![X298]:(![X299]:(![X300]:((![X301]:(![X302]:~eqangle(X297,X298,X301,X302,X299,X300,X301,X302)))|para(X297,X298,X299,X300)))))),inference(variable_rename,status(thm),[c289])).])).
% 123.21/123.44 cnf(c292,axiom,~eqangle(X1085,X1086,X1082,X1083,X1081,X1084,X1082,X1083)|para(X1085,X1086,X1081,X1084),inference(split_conjunct,status(thm),[c291])).
% 123.21/123.44 fof(ruleD19,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(C,D,A,B,U,V,P,Q)))))))))),input).
% 123.21/123.44 fof(c352,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q)))))))))),inference(fof_nnf,status(thm),[ruleD19])).
% 123.21/123.44 fof(c353,axiom,(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(![X450]:(~eqangle(X443,X444,X445,X446,X447,X448,X449,X450)|eqangle(X445,X446,X443,X444,X449,X450,X447,X448)))))))))),inference(variable_rename,status(thm),[c352])).
% 123.21/123.44 cnf(c354,axiom,~eqangle(X1228,X1230,X1232,X1226,X1227,X1233,X1229,X1231)|eqangle(X1232,X1226,X1228,X1230,X1229,X1231,X1227,X1233),inference(split_conjunct,status(thm),[c353])).
% 123.21/123.44 fof(ruleD7,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(A,B,D,C)))))),input).
% 123.21/123.44 fof(c390,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD7])).
% 123.21/123.44 fof(c391,axiom,(![X504]:(![X505]:(![X506]:(![X507]:(~perp(X504,X505,X506,X507)|perp(X504,X505,X507,X506)))))),inference(variable_rename,status(thm),[c390])).
% 123.21/123.44 cnf(c392,axiom,~perp(X720,X721,X719,X722)|perp(X720,X721,X722,X719),inference(split_conjunct,status(thm),[c391])).
% 123.21/123.44 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 123.21/123.44 fof(c387,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 123.21/123.44 fof(c388,axiom,(![X500]:(![X501]:(![X502]:(![X503]:(~perp(X500,X501,X502,X503)|perp(X502,X503,X500,X501)))))),inference(variable_rename,status(thm),[c387])).
% 123.21/123.44 cnf(c389,axiom,~perp(X713,X711,X710,X712)|perp(X710,X712,X713,X711),inference(split_conjunct,status(thm),[c388])).
% 123.21/123.44 cnf(c19,negated_conjecture,perp(skolem0006,skolem0002,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 123.21/123.44 cnf(c514,plain,perp(skolem0006,skolem0002,skolem0003,skolem0001),inference(resolution,status(thm),[c392, c19])).
% 123.21/123.44 cnf(c522,plain,perp(skolem0003,skolem0001,skolem0006,skolem0002),inference(resolution,status(thm),[c514, c389])).
% 123.21/123.44 cnf(c532,plain,perp(skolem0003,skolem0001,skolem0002,skolem0006),inference(resolution,status(thm),[c522, c392])).
% 123.21/123.44 cnf(c508,plain,perp(skolem0001,skolem0003,skolem0006,skolem0002),inference(resolution,status(thm),[c389, c19])).
% 123.21/123.44 cnf(c515,plain,perp(skolem0001,skolem0003,skolem0002,skolem0006),inference(resolution,status(thm),[c392, c508])).
% 123.21/123.44 cnf(c525,plain,perp(skolem0002,skolem0006,skolem0001,skolem0003),inference(resolution,status(thm),[c515, c389])).
% 123.21/123.44 cnf(c535,plain,perp(skolem0002,skolem0006,skolem0003,skolem0001),inference(resolution,status(thm),[c525, c392])).
% 123.21/123.44 fof(ruleD9,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((perp(A,B,C,D)&perp(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 123.21/123.44 fof(c384,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD9])).
% 123.21/123.44 fof(c385,axiom,(![X494]:(![X495]:(![X496]:(![X497]:(![X498]:(![X499]:((~perp(X494,X495,X496,X497)|~perp(X496,X497,X498,X499))|para(X494,X495,X498,X499)))))))),inference(variable_rename,status(thm),[c384])).
% 123.21/123.44 cnf(c386,axiom,~perp(X1264,X1262,X1266,X1263)|~perp(X1266,X1263,X1265,X1267)|para(X1264,X1262,X1265,X1267),inference(split_conjunct,status(thm),[c385])).
% 123.21/123.44 cnf(c1634,plain,~perp(X2920,X2921,skolem0002,skolem0006)|para(X2920,X2921,skolem0003,skolem0001),inference(resolution,status(thm),[c386, c535])).
% 123.21/123.44 cnf(c5805,plain,para(skolem0003,skolem0001,skolem0003,skolem0001),inference(resolution,status(thm),[c1634, c532])).
% 123.21/123.44 cnf(c5816,plain,eqangle(skolem0003,skolem0001,X3382,X3381,skolem0003,skolem0001,X3382,X3381),inference(resolution,status(thm),[c5805, c287])).
% 123.21/123.44 cnf(c6916,plain,eqangle(X3437,X3438,skolem0003,skolem0001,X3437,X3438,skolem0003,skolem0001),inference(resolution,status(thm),[c5816, c354])).
% 123.21/123.44 cnf(c7197,plain,para(X3442,X3443,X3442,X3443),inference(resolution,status(thm),[c6916, c292])).
% 123.21/123.44 cnf(c7247,plain,para(X3464,X3463,X3463,X3464),inference(resolution,status(thm),[c7197, c401])).
% 123.21/123.44 cnf(c8402,plain,eqangle(X5189,X5190,X5187,X5188,X5190,X5189,X5187,X5188),inference(resolution,status(thm),[c7247, c287])).
% 123.21/123.44 cnf(c15270,plain,eqangle(X5229,X5231,X5231,X5229,X5230,X5232,X5230,X5232),inference(resolution,status(thm),[c8402, c348])).
% 123.21/123.44 cnf(c15345,plain,~perp(X6387,X6389,X6387,X6389)|perp(X6390,X6388,X6388,X6390),inference(resolution,status(thm),[c15270, c165])).
% 123.21/123.44 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 123.21/123.44 fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 123.21/123.44 fof(c362,axiom,(![X464]:(![X465]:(![X466]:(![X467]:(~cyclic(X464,X465,X466,X467)|cyclic(X465,X464,X466,X467)))))),inference(variable_rename,status(thm),[c361])).
% 123.21/123.44 cnf(c363,axiom,~cyclic(X693,X695,X696,X694)|cyclic(X695,X693,X696,X694),inference(split_conjunct,status(thm),[c362])).
% 123.21/123.44 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 123.21/123.44 fof(c367,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 123.21/123.44 fof(c368,axiom,(![X472]:(![X473]:(![X474]:(![X475]:(~cyclic(X472,X473,X474,X475)|cyclic(X472,X473,X475,X474)))))),inference(variable_rename,status(thm),[c367])).
% 123.21/123.44 cnf(c369,axiom,~cyclic(X704,X703,X701,X702)|cyclic(X704,X703,X702,X701),inference(split_conjunct,status(thm),[c368])).
% 123.21/123.44 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 123.21/123.44 fof(c364,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 123.21/123.44 fof(c365,axiom,(![X468]:(![X469]:(![X470]:(![X471]:(~cyclic(X468,X469,X470,X471)|cyclic(X468,X470,X469,X471)))))),inference(variable_rename,status(thm),[c364])).
% 123.21/123.44 cnf(c366,axiom,~cyclic(X699,X697,X698,X700)|cyclic(X699,X698,X697,X700),inference(split_conjunct,status(thm),[c365])).
% 123.21/123.44 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 123.21/123.44 fof(c408,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 123.21/123.44 fof(c409,axiom,(![X529]:(![X530]:(![X531]:(~coll(X529,X530,X531)|coll(X529,X531,X530))))),inference(variable_rename,status(thm),[c408])).
% 123.21/123.44 cnf(c410,axiom,~coll(X580,X578,X579)|coll(X580,X579,X578),inference(split_conjunct,status(thm),[c409])).
% 123.21/123.44 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 123.21/123.44 fof(c405,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 123.21/123.44 fof(c406,axiom,(![X526]:(![X527]:(![X528]:(~coll(X526,X527,X528)|coll(X527,X526,X528))))),inference(variable_rename,status(thm),[c405])).
% 123.21/123.44 cnf(c407,axiom,~coll(X562,X561,X563)|coll(X561,X562,X563),inference(split_conjunct,status(thm),[c406])).
% 123.21/123.44 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 123.21/123.44 fof(c191,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 123.21/123.44 fof(c192,axiom,(![X165]:(![X166]:(![X167]:(~para(X165,X166,X165,X167)|coll(X165,X166,X167))))),inference(variable_rename,status(thm),[c191])).
% 123.21/123.44 cnf(c193,axiom,~para(X680,X679,X680,X681)|coll(X680,X679,X681),inference(split_conjunct,status(thm),[c192])).
% 123.21/123.44 cnf(c7246,plain,coll(X3444,X3445,X3445),inference(resolution,status(thm),[c7197, c193])).
% 123.21/123.44 cnf(c7565,plain,coll(X3449,X3448,X3449),inference(resolution,status(thm),[c7246, c407])).
% 123.21/123.44 cnf(c7637,plain,coll(X3450,X3450,X3451),inference(resolution,status(thm),[c7565, c410])).
% 123.21/123.44 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 123.21/123.44 fof(c402,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 123.21/123.44 fof(c403,axiom,(![X522]:(![X523]:(![X524]:(![X525]:((~coll(X522,X523,X524)|~coll(X522,X523,X525))|coll(X524,X525,X522)))))),inference(variable_rename,status(thm),[c402])).
% 123.21/123.44 cnf(c404,axiom,~coll(X769,X770,X771)|~coll(X769,X770,X772)|coll(X771,X772,X769),inference(split_conjunct,status(thm),[c403])).
% 123.21/123.44 cnf(c8133,plain,~coll(X5038,X5038,X5036)|coll(X5036,X5037,X5038),inference(resolution,status(thm),[c7637, c404])).
% 123.21/123.44 cnf(c14847,plain,coll(X5041,X5039,X5040),inference(resolution,status(thm),[c8133, c7637])).
% 123.21/123.44 fof(ruleD42b,axiom,(![A]:(![B]:(![P]:(![Q]:((eqangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B))=>cyclic(A,B,P,Q)))))),input).
% 123.21/123.44 fof(c273,axiom,(![A]:(![B]:(![P]:(![Q]:((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q)))))),inference(fof_nnf,status(thm),[ruleD42b])).
% 123.21/123.44 fof(c274,axiom,(![X279]:(![X280]:(![X281]:(![X282]:((~eqangle(X281,X279,X281,X280,X282,X279,X282,X280)|~coll(X281,X282,X280))|cyclic(X279,X280,X281,X282)))))),inference(variable_rename,status(thm),[c273])).
% 123.21/123.44 cnf(c275,axiom,~eqangle(X1063,X1064,X1063,X1061,X1062,X1064,X1062,X1061)|~coll(X1063,X1062,X1061)|cyclic(X1064,X1061,X1063,X1062),inference(split_conjunct,status(thm),[c274])).
% 123.21/123.44 cnf(c7233,plain,eqangle(X4808,X4807,X4805,X4806,X4808,X4807,X4805,X4806),inference(resolution,status(thm),[c7197, c287])).
% 123.21/123.44 cnf(c14710,plain,~coll(X5405,X5405,X5403)|cyclic(X5404,X5403,X5405,X5405),inference(resolution,status(thm),[c7233, c275])).
% 123.21/123.44 cnf(c15619,plain,cyclic(X5410,X5411,X5409,X5409),inference(resolution,status(thm),[c14710, c14847])).
% 123.21/123.44 cnf(c15624,plain,cyclic(X5420,X5419,X5418,X5419),inference(resolution,status(thm),[c15619, c366])).
% 123.21/123.44 cnf(c15629,plain,cyclic(X5422,X5423,X5423,X5421),inference(resolution,status(thm),[c15624, c369])).
% 123.21/123.44 cnf(c15639,plain,cyclic(X5437,X5436,X5437,X5438),inference(resolution,status(thm),[c15629, c363])).
% 123.21/123.44 fof(ruleD43,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((cyclic(A,B,C,P)&cyclic(A,B,C,Q))&cyclic(A,B,C,R))&eqangle(C,A,C,B,R,P,R,Q))=>cong(A,B,P,Q)))))))),input).
% 123.21/123.44 fof(c268,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD43])).
% 123.21/123.44 fof(c269,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:((![R]:(((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))))))),inference(shift_quantors,status(thm),[c268])).
% 123.21/123.44 fof(c271,axiom,(![X273]:(![X274]:(![X275]:(![X276]:(![X277]:(![X278]:((((~cyclic(X273,X274,X275,X276)|~cyclic(X273,X274,X275,X277))|~cyclic(X273,X274,X275,X278))|~eqangle(X275,X273,X275,X274,X278,X276,X278,X277))|cong(X273,X274,X276,X277)))))))),inference(shift_quantors,status(thm),[fof(c270,axiom,(![X273]:(![X274]:(![X275]:(![X276]:(![X277]:((![X278]:(((~cyclic(X273,X274,X275,X276)|~cyclic(X273,X274,X275,X277))|~cyclic(X273,X274,X275,X278))|~eqangle(X275,X273,X275,X274,X278,X276,X278,X277)))|cong(X273,X274,X276,X277))))))),inference(variable_rename,status(thm),[c269])).])).
% 123.21/123.44 cnf(c272,axiom,~cyclic(X1055,X1060,X1057,X1058)|~cyclic(X1055,X1060,X1057,X1059)|~cyclic(X1055,X1060,X1057,X1056)|~eqangle(X1057,X1055,X1057,X1060,X1056,X1058,X1056,X1059)|cong(X1055,X1060,X1058,X1059),inference(split_conjunct,status(thm),[c271])).
% 123.21/123.44 cnf(c15267,plain,eqangle(X5224,X5225,X5226,X5223,X5224,X5225,X5223,X5226),inference(resolution,status(thm),[c8402, c354])).
% 123.21/123.44 cnf(c15328,plain,eqangle(X5274,X5272,X5274,X5272,X5275,X5273,X5273,X5275),inference(resolution,status(thm),[c15267, c348])).
% 123.21/123.44 cnf(c15391,plain,~cyclic(X6404,X6404,X6403,X6402)|cong(X6404,X6404,X6402,X6402),inference(resolution,status(thm),[c15328, c272])).
% 123.21/123.44 cnf(c16171,plain,cong(X6406,X6406,X6405,X6405),inference(resolution,status(thm),[c15391, c15639])).
% 123.21/123.44 fof(ruleD57,axiom,(![A]:(![B]:(![P]:(![Q]:(((cong(A,P,B,P)&cong(A,Q,B,Q))&cyclic(A,B,P,Q))=>perp(P,A,A,Q)))))),input).
% 123.21/123.44 fof(c223,axiom,(![A]:(![B]:(![P]:(![Q]:(((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q)))))),inference(fof_nnf,status(thm),[ruleD57])).
% 123.21/123.44 fof(c224,axiom,(![X213]:(![X214]:(![X215]:(![X216]:(((~cong(X213,X215,X214,X215)|~cong(X213,X216,X214,X216))|~cyclic(X213,X214,X215,X216))|perp(X215,X213,X213,X216)))))),inference(variable_rename,status(thm),[c223])).
% 123.21/123.44 cnf(c225,axiom,~cong(X992,X993,X994,X993)|~cong(X992,X991,X994,X991)|~cyclic(X992,X994,X993,X991)|perp(X993,X992,X992,X991),inference(split_conjunct,status(thm),[c224])).
% 123.21/123.44 cnf(c15620,plain,~cong(X6514,X6516,X6515,X6516)|perp(X6516,X6514,X6514,X6516),inference(resolution,status(thm),[c15619, c225])).
% 123.21/123.44 cnf(c16286,plain,perp(X6517,X6517,X6517,X6517),inference(resolution,status(thm),[c15620, c16171])).
% 123.21/123.44 cnf(c16297,plain,perp(X6525,X6524,X6524,X6525),inference(resolution,status(thm),[c16286, c15345])).
% 123.21/123.44 cnf(c16327,plain,~midp(X6644,X6646,X6646)|cong(X6646,X6644,X6645,X6644),inference(resolution,status(thm),[c16297, c242])).
% 123.21/123.44 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 123.21/123.44 fof(c188,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 123.21/123.44 fof(c189,axiom,(![X162]:(![X163]:(![X164]:((~cong(X162,X163,X162,X164)|~coll(X162,X163,X164))|midp(X162,X163,X164))))),inference(variable_rename,status(thm),[c188])).
% 123.21/123.44 cnf(c190,axiom,~cong(X948,X949,X948,X947)|~coll(X948,X949,X947)|midp(X948,X949,X947),inference(split_conjunct,status(thm),[c189])).
% 123.21/123.44 cnf(c16180,plain,~coll(X6425,X6425,X6425)|midp(X6425,X6425,X6425),inference(resolution,status(thm),[c16171, c190])).
% 123.21/123.44 cnf(c16194,plain,midp(X6426,X6426,X6426),inference(resolution,status(thm),[c16180, c14847])).
% 123.21/123.44 cnf(c16609,plain,cong(X6651,X6651,X6650,X6651),inference(resolution,status(thm),[c16327, c16194])).
% 123.21/123.44 cnf(c16616,plain,cong(X6652,X6652,X6652,X6653),inference(resolution,status(thm),[c16609, c342])).
% 123.21/123.44 cnf(c16630,plain,~coll(X6676,X6676,X6677)|midp(X6676,X6676,X6677),inference(resolution,status(thm),[c16616, c190])).
% 123.21/123.44 cnf(c16678,plain,midp(X6678,X6678,X6679),inference(resolution,status(thm),[c16630, c14847])).
% 123.21/123.44 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 123.21/123.44 fof(c229,axiom,(![A]:(![B]:(![M]:(![O]:((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B)))))),inference(fof_nnf,status(thm),[ruleD55])).
% 123.21/123.44 fof(c230,axiom,(![X221]:(![X222]:(![X223]:(![X224]:((~midp(X223,X221,X222)|~perp(X224,X223,X221,X222))|cong(X224,X221,X224,X222)))))),inference(variable_rename,status(thm),[c229])).
% 123.21/123.44 cnf(c231,axiom,~midp(X1003,X1002,X1001)|~perp(X1000,X1003,X1002,X1001)|cong(X1000,X1002,X1000,X1001),inference(split_conjunct,status(thm),[c230])).
% 123.21/123.44 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 123.21/123.44 fof(c378,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 123.21/123.44 fof(c379,axiom,(![X485]:(![X486]:(![X487]:(~midp(X487,X486,X485)|midp(X487,X485,X486))))),inference(variable_rename,status(thm),[c378])).
% 123.21/123.44 cnf(c380,axiom,~midp(X558,X559,X560)|midp(X558,X560,X559),inference(split_conjunct,status(thm),[c379])).
% 123.21/123.44 cnf(c16796,plain,midp(X6680,X6681,X6680),inference(resolution,status(thm),[c16678, c380])).
% 123.21/123.44 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 123.21/123.44 fof(c200,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))))))),inference(fof_nnf,status(thm),[ruleD63])).
% 123.21/123.44 fof(c201,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c200])).
% 123.21/123.44 fof(c203,axiom,(![X178]:(![X179]:(![X180]:(![X181]:(![X182]:((~midp(X182,X178,X179)|~midp(X182,X180,X181))|para(X178,X180,X179,X181))))))),inference(shift_quantors,status(thm),[fof(c202,axiom,(![X178]:(![X179]:(![X180]:(![X181]:((![X182]:(~midp(X182,X178,X179)|~midp(X182,X180,X181)))|para(X178,X180,X179,X181)))))),inference(variable_rename,status(thm),[c201])).])).
% 123.21/123.44 cnf(c204,axiom,~midp(X962,X965,X963)|~midp(X962,X966,X964)|para(X965,X966,X963,X964),inference(split_conjunct,status(thm),[c203])).
% 123.21/123.44 cnf(c16680,plain,~midp(X7701,X7700,X7703)|para(X7700,X7701,X7703,X7702),inference(resolution,status(thm),[c16678, c204])).
% 123.21/123.44 cnf(c18450,plain,para(X7708,X7707,X7707,X7709),inference(resolution,status(thm),[c16680, c16796])).
% 123.21/123.44 cnf(c18510,plain,para(X7737,X7739,X7738,X7739),inference(resolution,status(thm),[c18450, c401])).
% 123.21/123.44 fof(ruleD10,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)&perp(C,D,E,F))=>perp(A,B,E,F)))))))),input).
% 123.21/123.44 fof(c381,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD10])).
% 123.21/123.44 fof(c382,axiom,(![X488]:(![X489]:(![X490]:(![X491]:(![X492]:(![X493]:((~para(X488,X489,X490,X491)|~perp(X490,X491,X492,X493))|perp(X488,X489,X492,X493)))))))),inference(variable_rename,status(thm),[c381])).
% 123.21/123.44 cnf(c383,axiom,~para(X1258,X1260,X1257,X1256)|~perp(X1257,X1256,X1261,X1259)|perp(X1258,X1260,X1261,X1259),inference(split_conjunct,status(thm),[c382])).
% 123.21/123.44 cnf(c16298,plain,~para(X15897,X15898,X15896,X15896)|perp(X15897,X15898,X15896,X15896),inference(resolution,status(thm),[c16286, c383])).
% 123.21/123.44 cnf(c30509,plain,perp(X15899,X15900,X15900,X15900),inference(resolution,status(thm),[c16298, c18510])).
% 123.21/123.44 cnf(c30559,plain,~midp(X16998,X16998,X16998)|cong(X16999,X16998,X16999,X16998),inference(resolution,status(thm),[c30509, c231])).
% 123.21/123.44 cnf(c32014,plain,cong(X17001,X17000,X17001,X17000),inference(resolution,status(thm),[c30559, c16678])).
% 123.21/123.44 cnf(c32019,plain,~coll(X17018,X17019,X17019)|midp(X17018,X17019,X17019),inference(resolution,status(thm),[c32014, c190])).
% 123.21/123.44 cnf(c32052,plain,midp(X17020,X17021,X17021),inference(resolution,status(thm),[c32019, c14847])).
% 123.21/123.44 cnf(c32225,plain,cong(X17038,X17036,X17037,X17036),inference(resolution,status(thm),[c32052, c16327])).
% 123.21/123.44 cnf(c32262,plain,cong(X17044,X17042,X17042,X17043),inference(resolution,status(thm),[c32225, c342])).
% 123.21/123.44 cnf(c32282,plain,cong(X17055,X17056,X17054,X17055),inference(resolution,status(thm),[c32262, c339])).
% 123.21/123.44 cnf(c32293,plain,cong(X17057,X17059,X17057,X17058),inference(resolution,status(thm),[c32282, c342])).
% 123.21/123.44 cnf(c32309,plain,$false,inference(resolution,status(thm),[c32293, c25])).
% 123.21/123.44 # SZS output end CNFRefutation
% 123.21/123.44
% 123.21/123.44 # Initial clauses : 137
% 123.21/123.44 # Processed clauses : 4029
% 123.21/123.44 # Factors computed : 0
% 123.21/123.44 # Resolvents computed: 31902
% 123.21/123.44 # Tautologies deleted: 20
% 123.21/123.44 # Forward subsumed : 12275
% 123.21/123.44 # Backward subsumed : 1937
% 123.21/123.44 # -------- CPU Time ---------
% 123.21/123.44 # User time : 122.987 s
% 123.21/123.44 # System time : 0.064 s
% 123.21/123.44 # Total time : 123.051 s
%------------------------------------------------------------------------------