TSTP Solution File: GEO578+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 06:01:01 EDT 2022
% Result : Theorem 9.13s 9.29s
% Output : Refutation 9.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO578+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 : n016.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 : Fri Jun 17 17:16:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.13/9.29 # Version: 1.3
% 9.13/9.29 # SZS status Theorem
% 9.13/9.29 # SZS output start CNFRefutation
% 9.13/9.29 fof(exemplo6GDDFULL214040,conjecture,(![A]:(![B]:(![C]:(![I]:(![E]:(((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))¶(A,B,E,I))&coll(E,A,C))=>cong(E,I,E,A))))))),input).
% 9.13/9.29 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![I]:(![E]:(((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))¶(A,B,E,I))&coll(E,A,C))=>cong(E,I,E,A)))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL214040])).
% 9.13/9.29 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[I]:(?[E]:(((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))¶(A,B,E,I))&coll(E,A,C))&~cong(E,I,E,A))))))),inference(fof_nnf,status(thm),[c11])).
% 9.13/9.29 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(((((eqangle(X5,X2,X2,X3,X5,X2,X2,X4)&eqangle(X5,X3,X3,X4,X5,X3,X3,X2))&eqangle(X5,X4,X4,X2,X5,X4,X4,X3))¶(X2,X3,X6,X5))&coll(X6,X2,X4))&~cong(X6,X5,X6,X2))))))),inference(variable_rename,status(thm),[c12])).
% 9.13/9.29 fof(c14,negated_conjecture,(((((eqangle(skolem0004,skolem0001,skolem0001,skolem0002,skolem0004,skolem0001,skolem0001,skolem0003)&eqangle(skolem0004,skolem0002,skolem0002,skolem0003,skolem0004,skolem0002,skolem0002,skolem0001))&eqangle(skolem0004,skolem0003,skolem0003,skolem0001,skolem0004,skolem0003,skolem0003,skolem0002))¶(skolem0001,skolem0002,skolem0005,skolem0004))&coll(skolem0005,skolem0001,skolem0003))&~cong(skolem0005,skolem0004,skolem0005,skolem0001)),inference(skolemize,status(esa),[c13])).
% 9.13/9.29 cnf(c20,negated_conjecture,~cong(skolem0005,skolem0004,skolem0005,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 9.13/9.29 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 9.13/9.29 fof(c335,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 9.13/9.29 fof(c336,axiom,(![X407]:(![X408]:(![X409]:(![X410]:(~cong(X407,X408,X409,X410)|cong(X407,X408,X410,X409)))))),inference(variable_rename,status(thm),[c335])).
% 9.13/9.29 cnf(c337,axiom,~cong(X588,X587,X590,X589)|cong(X588,X587,X589,X590),inference(split_conjunct,status(thm),[c336])).
% 9.13/9.29 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 9.13/9.29 fof(c332,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 9.13/9.29 fof(c333,axiom,(![X403]:(![X404]:(![X405]:(![X406]:(~cong(X403,X404,X405,X406)|cong(X405,X406,X403,X404)))))),inference(variable_rename,status(thm),[c332])).
% 9.13/9.29 cnf(c334,axiom,~cong(X586,X585,X584,X583)|cong(X584,X583,X586,X585),inference(split_conjunct,status(thm),[c333])).
% 9.13/9.29 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 9.13/9.29 fof(c235,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])).
% 9.13/9.29 fof(c236,axiom,(![X229]:(![X230]:(![X231]:(![X232]:((~perp(X229,X230,X230,X231)|~midp(X232,X229,X231))|cong(X229,X232,X230,X232)))))),inference(variable_rename,status(thm),[c235])).
% 9.13/9.29 cnf(c237,axiom,~perp(X984,X986,X986,X985)|~midp(X987,X984,X985)|cong(X984,X987,X986,X987),inference(split_conjunct,status(thm),[c236])).
% 9.13/9.29 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).
% 9.13/9.29 fof(c156,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])).
% 9.13/9.29 fof(c157,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),[c156])).
% 9.13/9.29 fof(c159,axiom,(![X122]:(![X123]:(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:((~eqangle(X122,X123,X124,X125,X126,X127,X128,X129)|~perp(X126,X127,X128,X129))|perp(X122,X123,X124,X125)))))))))),inference(shift_quantors,status(thm),[fof(c158,axiom,(![X122]:(![X123]:(![X124]:(![X125]:((![X126]:(![X127]:(![X128]:(![X129]:(~eqangle(X122,X123,X124,X125,X126,X127,X128,X129)|~perp(X126,X127,X128,X129))))))|perp(X122,X123,X124,X125)))))),inference(variable_rename,status(thm),[c157])).])).
% 9.13/9.29 cnf(c160,axiom,~eqangle(X1073,X1077,X1075,X1078,X1074,X1071,X1076,X1072)|~perp(X1074,X1071,X1076,X1072)|perp(X1073,X1077,X1075,X1078),inference(split_conjunct,status(thm),[c159])).
% 9.13/9.29 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).
% 9.13/9.29 fof(c341,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])).
% 9.13/9.29 fof(c342,axiom,(![X423]:(![X424]:(![X425]:(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(~eqangle(X423,X424,X425,X426,X427,X428,X429,X430)|eqangle(X423,X424,X427,X428,X425,X426,X429,X430)))))))))),inference(variable_rename,status(thm),[c341])).
% 9.13/9.29 cnf(c343,axiom,~eqangle(X1264,X1267,X1266,X1263,X1260,X1261,X1262,X1265)|eqangle(X1264,X1267,X1260,X1261,X1266,X1263,X1262,X1265),inference(split_conjunct,status(thm),[c342])).
% 9.13/9.29 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 9.13/9.29 fof(c278,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])).
% 9.13/9.29 fof(c279,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),[c278])).
% 9.13/9.29 fof(c281,axiom,(![X287]:(![X288]:(![X289]:(![X290]:(![X291]:(![X292]:(~para(X287,X288,X289,X290)|eqangle(X287,X288,X291,X292,X289,X290,X291,X292)))))))),inference(shift_quantors,status(thm),[fof(c280,axiom,(![X287]:(![X288]:(![X289]:(![X290]:(~para(X287,X288,X289,X290)|(![X291]:(![X292]:eqangle(X287,X288,X291,X292,X289,X290,X291,X292)))))))),inference(variable_rename,status(thm),[c279])).])).
% 9.13/9.29 cnf(c282,axiom,~para(X890,X892,X891,X893)|eqangle(X890,X892,X888,X889,X891,X893,X888,X889),inference(split_conjunct,status(thm),[c281])).
% 9.13/9.29 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 9.13/9.29 fof(c394,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 9.13/9.29 fof(c395,axiom,(![X514]:(![X515]:(![X516]:(![X517]:(~para(X514,X515,X516,X517)|para(X514,X515,X517,X516)))))),inference(variable_rename,status(thm),[c394])).
% 9.13/9.29 cnf(c396,axiom,~para(X631,X634,X632,X633)|para(X631,X634,X633,X632),inference(split_conjunct,status(thm),[c395])).
% 9.13/9.29 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 9.13/9.29 fof(c283,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])).
% 9.13/9.29 fof(c284,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),[c283])).
% 9.13/9.29 fof(c286,axiom,(![X293]:(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(~eqangle(X293,X294,X297,X298,X295,X296,X297,X298)|para(X293,X294,X295,X296)))))))),inference(shift_quantors,status(thm),[fof(c285,axiom,(![X293]:(![X294]:(![X295]:(![X296]:((![X297]:(![X298]:~eqangle(X293,X294,X297,X298,X295,X296,X297,X298)))|para(X293,X294,X295,X296)))))),inference(variable_rename,status(thm),[c284])).])).
% 9.13/9.29 cnf(c287,axiom,~eqangle(X926,X924,X925,X923,X922,X921,X925,X923)|para(X926,X924,X922,X921),inference(split_conjunct,status(thm),[c286])).
% 9.13/9.29 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 9.13/9.29 fof(c391,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 9.13/9.29 fof(c392,axiom,(![X510]:(![X511]:(![X512]:(![X513]:(~para(X510,X511,X512,X513)|para(X512,X513,X510,X511)))))),inference(variable_rename,status(thm),[c391])).
% 9.13/9.29 cnf(c393,axiom,~para(X619,X621,X622,X620)|para(X622,X620,X619,X621),inference(split_conjunct,status(thm),[c392])).
% 9.13/9.29 cnf(c18,negated_conjecture,para(skolem0001,skolem0002,skolem0005,skolem0004),inference(split_conjunct,status(thm),[c14])).
% 9.13/9.29 cnf(c430,plain,para(skolem0001,skolem0002,skolem0004,skolem0005),inference(resolution,status(thm),[c396, c18])).
% 9.13/9.29 cnf(c432,plain,para(skolem0004,skolem0005,skolem0001,skolem0002),inference(resolution,status(thm),[c430, c393])).
% 9.13/9.29 fof(ruleD6,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)¶(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 9.13/9.29 fof(c388,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD6])).
% 9.13/9.29 fof(c389,axiom,(![X504]:(![X505]:(![X506]:(![X507]:(![X508]:(![X509]:((~para(X504,X505,X506,X507)|~para(X506,X507,X508,X509))|para(X504,X505,X508,X509)))))))),inference(variable_rename,status(thm),[c388])).
% 9.13/9.29 cnf(c390,axiom,~para(X1039,X1040,X1041,X1042)|~para(X1041,X1042,X1043,X1044)|para(X1039,X1040,X1043,X1044),inference(split_conjunct,status(thm),[c389])).
% 9.13/9.29 cnf(c715,plain,~para(X1045,X1046,skolem0001,skolem0002)|para(X1045,X1046,skolem0004,skolem0005),inference(resolution,status(thm),[c390, c430])).
% 9.13/9.29 cnf(c723,plain,para(skolem0004,skolem0005,skolem0004,skolem0005),inference(resolution,status(thm),[c715, c432])).
% 9.13/9.29 cnf(c725,plain,eqangle(skolem0004,skolem0005,X1152,X1151,skolem0004,skolem0005,X1152,X1151),inference(resolution,status(thm),[c723, c282])).
% 9.13/9.29 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).
% 9.13/9.29 fof(c347,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])).
% 9.13/9.29 fof(c348,axiom,(![X439]:(![X440]:(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(~eqangle(X439,X440,X441,X442,X443,X444,X445,X446)|eqangle(X441,X442,X439,X440,X445,X446,X443,X444)))))))))),inference(variable_rename,status(thm),[c347])).
% 9.13/9.29 cnf(c349,axiom,~eqangle(X1281,X1285,X1282,X1283,X1278,X1284,X1280,X1279)|eqangle(X1282,X1283,X1281,X1285,X1280,X1279,X1278,X1284),inference(split_conjunct,status(thm),[c348])).
% 9.13/9.29 cnf(c1150,plain,eqangle(X1480,X1479,skolem0004,skolem0005,X1480,X1479,skolem0004,skolem0005),inference(resolution,status(thm),[c349, c725])).
% 9.13/9.29 cnf(c1457,plain,para(X1482,X1481,X1482,X1481),inference(resolution,status(thm),[c1150, c287])).
% 9.13/9.29 cnf(c1486,plain,para(X1503,X1504,X1504,X1503),inference(resolution,status(thm),[c1457, c396])).
% 9.13/9.29 cnf(c1622,plain,eqangle(X1846,X1848,X1849,X1847,X1848,X1846,X1849,X1847),inference(resolution,status(thm),[c1486, c282])).
% 9.13/9.29 cnf(c2251,plain,eqangle(X1880,X1878,X1878,X1880,X1879,X1881,X1879,X1881),inference(resolution,status(thm),[c1622, c343])).
% 9.13/9.29 cnf(c2277,plain,~perp(X2906,X2908,X2906,X2908)|perp(X2907,X2905,X2905,X2907),inference(resolution,status(thm),[c2251, c160])).
% 9.13/9.29 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 9.13/9.29 fof(c356,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 9.13/9.29 fof(c357,axiom,(![X460]:(![X461]:(![X462]:(![X463]:(~cyclic(X460,X461,X462,X463)|cyclic(X461,X460,X462,X463)))))),inference(variable_rename,status(thm),[c356])).
% 9.13/9.29 cnf(c358,axiom,~cyclic(X592,X591,X593,X594)|cyclic(X591,X592,X593,X594),inference(split_conjunct,status(thm),[c357])).
% 9.13/9.29 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 9.13/9.29 fof(c362,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 9.13/9.29 fof(c363,axiom,(![X468]:(![X469]:(![X470]:(![X471]:(~cyclic(X468,X469,X470,X471)|cyclic(X468,X469,X471,X470)))))),inference(variable_rename,status(thm),[c362])).
% 9.13/9.29 cnf(c364,axiom,~cyclic(X602,X600,X599,X601)|cyclic(X602,X600,X601,X599),inference(split_conjunct,status(thm),[c363])).
% 9.13/9.29 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 9.13/9.29 fof(c359,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 9.13/9.29 fof(c360,axiom,(![X464]:(![X465]:(![X466]:(![X467]:(~cyclic(X464,X465,X466,X467)|cyclic(X464,X466,X465,X467)))))),inference(variable_rename,status(thm),[c359])).
% 9.13/9.29 cnf(c361,axiom,~cyclic(X595,X598,X597,X596)|cyclic(X595,X597,X598,X596),inference(split_conjunct,status(thm),[c360])).
% 9.13/9.29 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 9.13/9.29 fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 9.13/9.29 fof(c404,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X525,X527,X526))))),inference(variable_rename,status(thm),[c403])).
% 9.13/9.29 cnf(c405,axiom,~coll(X554,X552,X553)|coll(X554,X553,X552),inference(split_conjunct,status(thm),[c404])).
% 9.13/9.29 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 9.13/9.29 fof(c400,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 9.13/9.29 fof(c401,axiom,(![X522]:(![X523]:(![X524]:(~coll(X522,X523,X524)|coll(X523,X522,X524))))),inference(variable_rename,status(thm),[c400])).
% 9.13/9.29 cnf(c402,axiom,~coll(X544,X545,X543)|coll(X545,X544,X543),inference(split_conjunct,status(thm),[c401])).
% 9.13/9.29 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 9.13/9.29 fof(c186,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 9.13/9.29 fof(c187,axiom,(![X161]:(![X162]:(![X163]:(~para(X161,X162,X161,X163)|coll(X161,X162,X163))))),inference(variable_rename,status(thm),[c186])).
% 9.13/9.29 cnf(c188,axiom,~para(X574,X575,X574,X576)|coll(X574,X575,X576),inference(split_conjunct,status(thm),[c187])).
% 9.13/9.29 cnf(c1480,plain,coll(X1483,X1484,X1484),inference(resolution,status(thm),[c1457, c188])).
% 9.13/9.29 cnf(c1499,plain,coll(X1486,X1485,X1486),inference(resolution,status(thm),[c1480, c402])).
% 9.13/9.29 cnf(c1565,plain,coll(X1493,X1493,X1494),inference(resolution,status(thm),[c1499, c405])).
% 9.13/9.29 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 9.13/9.29 fof(c397,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 9.13/9.29 fof(c398,axiom,(![X518]:(![X519]:(![X520]:(![X521]:((~coll(X518,X519,X520)|~coll(X518,X519,X521))|coll(X520,X521,X518)))))),inference(variable_rename,status(thm),[c397])).
% 9.13/9.29 cnf(c399,axiom,~coll(X681,X684,X683)|~coll(X681,X684,X682)|coll(X683,X682,X681),inference(split_conjunct,status(thm),[c398])).
% 9.13/9.29 cnf(c1616,plain,~coll(X1790,X1790,X1788)|coll(X1788,X1789,X1790),inference(resolution,status(thm),[c1565, c399])).
% 9.13/9.29 cnf(c2193,plain,coll(X1796,X1795,X1797),inference(resolution,status(thm),[c1616, c1565])).
% 9.13/9.29 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).
% 9.13/9.29 fof(c268,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])).
% 9.13/9.29 fof(c269,axiom,(![X275]:(![X276]:(![X277]:(![X278]:((~eqangle(X277,X275,X277,X276,X278,X275,X278,X276)|~coll(X277,X278,X276))|cyclic(X275,X276,X277,X278)))))),inference(variable_rename,status(thm),[c268])).
% 9.13/9.29 cnf(c270,axiom,~eqangle(X1170,X1171,X1170,X1172,X1173,X1171,X1173,X1172)|~coll(X1170,X1173,X1172)|cyclic(X1171,X1172,X1170,X1173),inference(split_conjunct,status(thm),[c269])).
% 9.13/9.29 cnf(c1475,plain,eqangle(X1704,X1702,X1705,X1703,X1704,X1702,X1705,X1703),inference(resolution,status(thm),[c1457, c282])).
% 9.13/9.29 cnf(c2060,plain,~coll(X2024,X2024,X2025)|cyclic(X2026,X2025,X2024,X2024),inference(resolution,status(thm),[c1475, c270])).
% 9.13/9.29 cnf(c2353,plain,cyclic(X2028,X2029,X2027,X2027),inference(resolution,status(thm),[c2060, c2193])).
% 9.13/9.29 cnf(c2357,plain,cyclic(X2039,X2037,X2038,X2037),inference(resolution,status(thm),[c2353, c361])).
% 9.13/9.29 cnf(c2364,plain,cyclic(X2044,X2043,X2043,X2045),inference(resolution,status(thm),[c2357, c364])).
% 9.13/9.29 cnf(c2378,plain,cyclic(X2062,X2064,X2062,X2063),inference(resolution,status(thm),[c2364, c358])).
% 9.13/9.29 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).
% 9.13/9.29 fof(c263,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])).
% 9.13/9.29 fof(c264,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),[c263])).
% 9.13/9.29 fof(c266,axiom,(![X269]:(![X270]:(![X271]:(![X272]:(![X273]:(![X274]:((((~cyclic(X269,X270,X271,X272)|~cyclic(X269,X270,X271,X273))|~cyclic(X269,X270,X271,X274))|~eqangle(X271,X269,X271,X270,X274,X272,X274,X273))|cong(X269,X270,X272,X273)))))))),inference(shift_quantors,status(thm),[fof(c265,axiom,(![X269]:(![X270]:(![X271]:(![X272]:(![X273]:((![X274]:(((~cyclic(X269,X270,X271,X272)|~cyclic(X269,X270,X271,X273))|~cyclic(X269,X270,X271,X274))|~eqangle(X271,X269,X271,X270,X274,X272,X274,X273)))|cong(X269,X270,X272,X273))))))),inference(variable_rename,status(thm),[c264])).])).
% 9.13/9.29 cnf(c267,axiom,~cyclic(X1167,X1165,X1163,X1164)|~cyclic(X1167,X1165,X1163,X1168)|~cyclic(X1167,X1165,X1163,X1166)|~eqangle(X1163,X1167,X1163,X1165,X1166,X1164,X1166,X1168)|cong(X1167,X1165,X1164,X1168),inference(split_conjunct,status(thm),[c266])).
% 9.13/9.29 fof(ruleD20,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(P,Q,U,V,A,B,C,D)))))))))),input).
% 9.13/9.29 fof(c344,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD20])).
% 9.13/9.29 fof(c345,axiom,(![X431]:(![X432]:(![X433]:(![X434]:(![X435]:(![X436]:(![X437]:(![X438]:(~eqangle(X431,X432,X433,X434,X435,X436,X437,X438)|eqangle(X435,X436,X437,X438,X431,X432,X433,X434)))))))))),inference(variable_rename,status(thm),[c344])).
% 9.13/9.29 cnf(c346,axiom,~eqangle(X1270,X1273,X1269,X1271,X1272,X1275,X1274,X1276)|eqangle(X1272,X1275,X1274,X1276,X1270,X1273,X1269,X1271),inference(split_conjunct,status(thm),[c345])).
% 9.13/9.29 cnf(c2282,plain,eqangle(X1926,X1929,X1926,X1929,X1927,X1928,X1928,X1927),inference(resolution,status(thm),[c2251, c346])).
% 9.13/9.29 cnf(c2317,plain,~cyclic(X2938,X2938,X2939,X2937)|cong(X2938,X2938,X2937,X2937),inference(resolution,status(thm),[c2282, c267])).
% 9.13/9.29 cnf(c2916,plain,cong(X2943,X2943,X2942,X2942),inference(resolution,status(thm),[c2317, c2378])).
% 9.13/9.29 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).
% 9.13/9.29 fof(c218,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])).
% 9.13/9.29 fof(c219,axiom,(![X209]:(![X210]:(![X211]:(![X212]:(((~cong(X209,X211,X210,X211)|~cong(X209,X212,X210,X212))|~cyclic(X209,X210,X211,X212))|perp(X211,X209,X209,X212)))))),inference(variable_rename,status(thm),[c218])).
% 9.13/9.29 cnf(c220,axiom,~cong(X1124,X1123,X1125,X1123)|~cong(X1124,X1126,X1125,X1126)|~cyclic(X1124,X1125,X1123,X1126)|perp(X1123,X1124,X1124,X1126),inference(split_conjunct,status(thm),[c219])).
% 9.13/9.29 cnf(c2359,plain,~cong(X3025,X3026,X3024,X3026)|perp(X3026,X3025,X3025,X3026),inference(resolution,status(thm),[c2353, c220])).
% 9.13/9.29 cnf(c2957,plain,perp(X3030,X3030,X3030,X3030),inference(resolution,status(thm),[c2359, c2916])).
% 9.13/9.29 cnf(c2971,plain,perp(X3035,X3034,X3034,X3035),inference(resolution,status(thm),[c2957, c2277])).
% 9.13/9.29 cnf(c3007,plain,~midp(X3119,X3120,X3120)|cong(X3120,X3119,X3121,X3119),inference(resolution,status(thm),[c2971, c237])).
% 9.13/9.29 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 9.13/9.29 fof(c183,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 9.13/9.29 fof(c184,axiom,(![X158]:(![X159]:(![X160]:((~cong(X158,X159,X158,X160)|~coll(X158,X159,X160))|midp(X158,X159,X160))))),inference(variable_rename,status(thm),[c183])).
% 9.13/9.29 cnf(c185,axiom,~cong(X862,X864,X862,X863)|~coll(X862,X864,X863)|midp(X862,X864,X863),inference(split_conjunct,status(thm),[c184])).
% 9.13/9.29 cnf(c2931,plain,~coll(X2957,X2957,X2957)|midp(X2957,X2957,X2957),inference(resolution,status(thm),[c2916, c185])).
% 9.13/9.29 cnf(c2933,plain,midp(X2958,X2958,X2958),inference(resolution,status(thm),[c2931, c2193])).
% 9.13/9.29 cnf(c3173,plain,cong(X3123,X3123,X3122,X3123),inference(resolution,status(thm),[c3007, c2933])).
% 9.13/9.29 cnf(c3174,plain,cong(X3124,X3124,X3124,X3125),inference(resolution,status(thm),[c3173, c337])).
% 9.13/9.29 cnf(c3194,plain,~coll(X3190,X3190,X3189)|midp(X3190,X3190,X3189),inference(resolution,status(thm),[c3174, c185])).
% 9.13/9.29 cnf(c3317,plain,midp(X3191,X3191,X3192),inference(resolution,status(thm),[c3194, c2193])).
% 9.13/9.29 fof(ruleD73,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V))=>para(A,B,C,D)))))))))),input).
% 9.13/9.29 fof(c161,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD73])).
% 9.13/9.29 fof(c162,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))))))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c161])).
% 9.13/9.29 fof(c164,axiom,(![X130]:(![X131]:(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:((~eqangle(X130,X131,X132,X133,X134,X135,X136,X137)|~para(X134,X135,X136,X137))|para(X130,X131,X132,X133)))))))))),inference(shift_quantors,status(thm),[fof(c163,axiom,(![X130]:(![X131]:(![X132]:(![X133]:((![X134]:(![X135]:(![X136]:(![X137]:(~eqangle(X130,X131,X132,X133,X134,X135,X136,X137)|~para(X134,X135,X136,X137))))))|para(X130,X131,X132,X133)))))),inference(variable_rename,status(thm),[c162])).])).
% 9.13/9.29 cnf(c165,axiom,~eqangle(X1083,X1084,X1086,X1080,X1079,X1081,X1082,X1085)|~para(X1079,X1081,X1082,X1085)|para(X1083,X1084,X1086,X1080),inference(split_conjunct,status(thm),[c164])).
% 9.13/9.29 fof(ruleD18,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(B,A,C,D,P,Q,U,V)))))))))),input).
% 9.13/9.29 fof(c350,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD18])).
% 9.13/9.29 fof(c351,axiom,(![X447]:(![X448]:(![X449]:(![X450]:(![X451]:(![X452]:(![X453]:(![X454]:(~eqangle(X447,X448,X449,X450,X451,X452,X453,X454)|eqangle(X448,X447,X449,X450,X451,X452,X453,X454)))))))))),inference(variable_rename,status(thm),[c350])).
% 9.13/9.29 cnf(c352,axiom,~eqangle(X1294,X1290,X1287,X1289,X1291,X1292,X1293,X1288)|eqangle(X1290,X1294,X1287,X1289,X1291,X1292,X1293,X1288),inference(split_conjunct,status(thm),[c351])).
% 9.13/9.29 cnf(c2255,plain,eqangle(X1889,X1888,X1891,X1890,X1889,X1888,X1890,X1891),inference(resolution,status(thm),[c1622, c349])).
% 9.13/9.29 cnf(c2304,plain,eqangle(X1957,X1956,X1959,X1958,X1956,X1957,X1958,X1959),inference(resolution,status(thm),[c2255, c352])).
% 9.13/9.29 cnf(c2334,plain,~para(X2990,X2987,X2988,X2989)|para(X2987,X2990,X2989,X2988),inference(resolution,status(thm),[c2304, c165])).
% 9.13/9.29 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 9.13/9.29 fof(c373,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 9.13/9.29 fof(c374,axiom,(![X481]:(![X482]:(![X483]:(~midp(X483,X482,X481)|midp(X483,X481,X482))))),inference(variable_rename,status(thm),[c373])).
% 9.13/9.29 cnf(c375,axiom,~midp(X541,X540,X542)|midp(X541,X542,X540),inference(split_conjunct,status(thm),[c374])).
% 9.13/9.29 cnf(c3329,plain,midp(X3193,X3194,X3193),inference(resolution,status(thm),[c3317, c375])).
% 9.13/9.29 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 9.13/9.29 fof(c260,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))))))),inference(fof_nnf,status(thm),[ruleD44])).
% 9.13/9.29 fof(c261,axiom,(![X264]:(![X265]:(![X266]:(![X267]:(![X268]:((~midp(X267,X264,X265)|~midp(X268,X264,X266))|para(X267,X268,X265,X266))))))),inference(variable_rename,status(thm),[c260])).
% 9.13/9.29 cnf(c262,axiom,~midp(X881,X880,X883)|~midp(X879,X880,X882)|para(X881,X879,X883,X882),inference(split_conjunct,status(thm),[c261])).
% 9.13/9.29 cnf(c3321,plain,~midp(X4079,X4081,X4078)|para(X4079,X4081,X4078,X4080),inference(resolution,status(thm),[c3317, c262])).
% 9.13/9.29 cnf(c4222,plain,para(X4087,X4085,X4087,X4086),inference(resolution,status(thm),[c3321, c3329])).
% 9.13/9.29 cnf(c4248,plain,para(X4103,X4101,X4102,X4101),inference(resolution,status(thm),[c4222, c2334])).
% 9.13/9.29 fof(ruleD64,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((midp(M,A,B)¶(A,C,B,D))¶(A,D,B,C))=>midp(M,C,D))))))),input).
% 9.13/9.29 fof(c192,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))))))),inference(fof_nnf,status(thm),[ruleD64])).
% 9.13/9.29 fof(c193,axiom,(![X169]:(![X170]:(![X171]:(![X172]:(![X173]:(((~midp(X173,X169,X170)|~para(X169,X171,X170,X172))|~para(X169,X172,X170,X171))|midp(X173,X171,X172))))))),inference(variable_rename,status(thm),[c192])).
% 9.13/9.29 cnf(c194,axiom,~midp(X1109,X1108,X1106)|~para(X1108,X1110,X1106,X1107)|~para(X1108,X1107,X1106,X1110)|midp(X1109,X1110,X1107),inference(split_conjunct,status(thm),[c193])).
% 9.13/9.29 cnf(c1477,plain,~midp(X7896,X7895,X7895)|~para(X7895,X7897,X7895,X7897)|midp(X7896,X7897,X7897),inference(resolution,status(thm),[c1457, c194])).
% 9.13/9.29 cnf(c8937,plain,~midp(X8606,X8605,X8605)|midp(X8606,X8607,X8607),inference(resolution,status(thm),[c1477, c4248])).
% 9.13/9.29 cnf(c9522,plain,midp(X8609,X8608,X8608),inference(resolution,status(thm),[c8937, c3317])).
% 9.13/9.29 cnf(c9533,plain,cong(X8626,X8627,X8625,X8627),inference(resolution,status(thm),[c9522, c3007])).
% 9.13/9.29 cnf(c9537,plain,cong(X8636,X8635,X8635,X8637),inference(resolution,status(thm),[c9533, c337])).
% 9.13/9.29 cnf(c9549,plain,cong(X8645,X8646,X8644,X8645),inference(resolution,status(thm),[c9537, c334])).
% 9.13/9.29 cnf(c9556,plain,cong(X8651,X8653,X8651,X8652),inference(resolution,status(thm),[c9549, c337])).
% 9.13/9.29 cnf(c9570,plain,$false,inference(resolution,status(thm),[c9556, c20])).
% 9.13/9.29 # SZS output end CNFRefutation
% 9.13/9.29
% 9.13/9.29 # Initial clauses : 133
% 9.13/9.29 # Processed clauses : 1027
% 9.13/9.29 # Factors computed : 0
% 9.13/9.29 # Resolvents computed: 9167
% 9.13/9.29 # Tautologies deleted: 19
% 9.13/9.29 # Forward subsumed : 3155
% 9.13/9.29 # Backward subsumed : 592
% 9.13/9.29 # -------- CPU Time ---------
% 9.13/9.29 # User time : 8.914 s
% 9.13/9.29 # System time : 0.026 s
% 9.13/9.29 # Total time : 8.940 s
%------------------------------------------------------------------------------