TSTP Solution File: GEO287+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 : 300s
% DateTime : Tue Apr 30 20:17:52 EDT 2024
% Result : Theorem 4.12s 0.93s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:23:32 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.40 % Drodi V3.6.0
% 4.12/0.93 % Refutation found
% 4.12/0.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.12/0.93 % SZS output start CNFRefutation for theBenchmark
% 4.12/0.93 fof(f1,conjecture,(
% 4.12/0.93 vf(vd1157,vd1158) = vf(vd1164,vd1165) ),
% 4.12/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.93 fof(f2,negated_conjecture,(
% 4.12/0.93 ~(vf(vd1157,vd1158) = vf(vd1164,vd1165) )),
% 4.12/0.93 inference(negated_conjecture,[status(cth)],[f1])).
% 4.12/0.93 fof(f3,axiom,(
% 4.12/0.93 ( ~ (? [Vd1173] :( ron(vd1165,Vd1173)& ron(vd1164,Vd1173)& ron(vd1163,Vd1173)& rline(Vd1173) ))& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)& vf(vd1156,vd1158) = vf(vd1163,vd1165)& vf(vd1156,vd1157) = vf(vd1163,vd1164)& (? [Vd1169] :( vd1165 = Vd1169& rpoint(Vd1169) ))& (? [Vd1168] :( vd1164 = Vd1168& rpoint(Vd1168) ))& (? [Vd1167] :( vd1163 = Vd1167& rpoint(Vd1167) ))& vd1157 != vd1158& vd1156 != vd1158& vd1156 != vd1157& (? [Vd1162] :( vd1158 = Vd1162& rpoint(Vd1162) ))& (? [Vd1161] :( vd1157 = Vd1161& rpoint(Vd1161) ))& (? [Vd1160] :( vd1156 = Vd1160& rpoint(Vd1160) ) )) ),
% 4.12/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.93 fof(f6,axiom,(
% 4.12/0.93 (! [Vd1178,Vd1179,Vd1180,Vd1185,Vd1186,Vd1187] :( ( ~ (? [Vd1195] :( ron(Vd1187,Vd1195)& ron(Vd1186,Vd1195)& ron(Vd1185,Vd1195)& rline(Vd1195) ))& vangle(Vd1179,Vd1178,Vd1180) = vangle(Vd1186,Vd1185,Vd1187)& vf(Vd1178,Vd1180) = vf(Vd1185,Vd1187)& vf(Vd1178,Vd1179) = vf(Vd1185,Vd1186)& (? [Vd1191] :( Vd1187 = Vd1191& rpoint(Vd1191) ))& (? [Vd1190] :( Vd1186 = Vd1190& rpoint(Vd1190) ))& (? [Vd1189] :( Vd1185 = Vd1189& rpoint(Vd1189) ))& Vd1179 != Vd1180& Vd1178 != Vd1180& Vd1178 != Vd1179& (? [Vd1184] :( Vd1180 = Vd1184& rpoint(Vd1184) ))& (? [Vd1183] :( Vd1179 = Vd1183& rpoint(Vd1183) ))& (? [Vd1182] :( Vd1178 = Vd1182& rpoint(Vd1182) ) ))=> vf(Vd1186,Vd1187) = vf(Vd1179,Vd1180) ) )),
% 4.12/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.93 fof(f65,axiom,(
% 4.12/0.93 (! [Vd761,Vd762] :( ( (? [Vd765] :( Vd762 = Vd765& rpoint(Vd765) ))& (? [Vd764] :( Vd761 = Vd764& rpoint(Vd764) ) ))=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ) )),
% 4.12/0.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.93 fof(f157,plain,(
% 4.12/0.93 ~vf(vd1157,vd1158)=vf(vd1164,vd1165)),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f2])).
% 4.12/0.93 fof(f158,plain,(
% 4.12/0.93 ((((((((((((![Vd1173]: (((~ron(vd1165,Vd1173)|~ron(vd1164,Vd1173))|~ron(vd1163,Vd1173))|~rline(Vd1173)))&vangle(vd1157,vd1156,vd1158)=vangle(vd1164,vd1163,vd1165))&vf(vd1156,vd1158)=vf(vd1163,vd1165))&vf(vd1156,vd1157)=vf(vd1163,vd1164))&(?[Vd1169]: (vd1165=Vd1169&rpoint(Vd1169))))&(?[Vd1168]: (vd1164=Vd1168&rpoint(Vd1168))))&(?[Vd1167]: (vd1163=Vd1167&rpoint(Vd1167))))&~vd1157=vd1158)&~vd1156=vd1158)&~vd1156=vd1157)&(?[Vd1162]: (vd1158=Vd1162&rpoint(Vd1162))))&(?[Vd1161]: (vd1157=Vd1161&rpoint(Vd1161))))&(?[Vd1160]: (vd1156=Vd1160&rpoint(Vd1160)))),
% 4.12/0.93 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 4.12/0.93 fof(f159,plain,(
% 4.12/0.93 ((((((((((((![Vd1173]: (((~ron(vd1165,Vd1173)|~ron(vd1164,Vd1173))|~ron(vd1163,Vd1173))|~rline(Vd1173)))&vangle(vd1157,vd1156,vd1158)=vangle(vd1164,vd1163,vd1165))&vf(vd1156,vd1158)=vf(vd1163,vd1165))&vf(vd1156,vd1157)=vf(vd1163,vd1164))&(vd1165=sk0_0&rpoint(sk0_0)))&(vd1164=sk0_1&rpoint(sk0_1)))&(vd1163=sk0_2&rpoint(sk0_2)))&~vd1157=vd1158)&~vd1156=vd1158)&~vd1156=vd1157)&(vd1158=sk0_3&rpoint(sk0_3)))&(vd1157=sk0_4&rpoint(sk0_4)))&(vd1156=sk0_5&rpoint(sk0_5))),
% 4.12/0.93 inference(skolemization,[status(esa)],[f158])).
% 4.12/0.93 fof(f160,plain,(
% 4.12/0.93 ![X0]: (~ron(vd1165,X0)|~ron(vd1164,X0)|~ron(vd1163,X0)|~rline(X0))),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.93 fof(f161,plain,(
% 4.12/0.93 vangle(vd1157,vd1156,vd1158)=vangle(vd1164,vd1163,vd1165)),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.93 fof(f162,plain,(
% 4.12/0.93 vf(vd1156,vd1158)=vf(vd1163,vd1165)),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.93 fof(f163,plain,(
% 4.12/0.93 vf(vd1156,vd1157)=vf(vd1163,vd1164)),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.93 fof(f164,plain,(
% 4.12/0.93 vd1165=sk0_0),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.93 fof(f165,plain,(
% 4.12/0.93 rpoint(sk0_0)),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.93 fof(f166,plain,(
% 4.12/0.93 vd1164=sk0_1),
% 4.12/0.93 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f167,plain,(
% 4.12/0.94 rpoint(sk0_1)),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f168,plain,(
% 4.12/0.94 vd1163=sk0_2),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f169,plain,(
% 4.12/0.94 rpoint(sk0_2)),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f170,plain,(
% 4.12/0.94 ~vd1157=vd1158),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f171,plain,(
% 4.12/0.94 ~vd1156=vd1158),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f172,plain,(
% 4.12/0.94 ~vd1156=vd1157),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f173,plain,(
% 4.12/0.94 vd1158=sk0_3),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f174,plain,(
% 4.12/0.94 rpoint(sk0_3)),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f175,plain,(
% 4.12/0.94 vd1157=sk0_4),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f176,plain,(
% 4.12/0.94 rpoint(sk0_4)),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f177,plain,(
% 4.12/0.94 vd1156=sk0_5),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f178,plain,(
% 4.12/0.94 rpoint(sk0_5)),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f159])).
% 4.12/0.94 fof(f191,plain,(
% 4.12/0.94 ![Vd1178,Vd1179,Vd1180,Vd1185,Vd1186,Vd1187]: ((((((((((((((?[Vd1195]: (((ron(Vd1187,Vd1195)&ron(Vd1186,Vd1195))&ron(Vd1185,Vd1195))&rline(Vd1195)))|~vangle(Vd1179,Vd1178,Vd1180)=vangle(Vd1186,Vd1185,Vd1187))|~vf(Vd1178,Vd1180)=vf(Vd1185,Vd1187))|~vf(Vd1178,Vd1179)=vf(Vd1185,Vd1186))|(![Vd1191]: (~Vd1187=Vd1191|~rpoint(Vd1191))))|(![Vd1190]: (~Vd1186=Vd1190|~rpoint(Vd1190))))|(![Vd1189]: (~Vd1185=Vd1189|~rpoint(Vd1189))))|Vd1179=Vd1180)|Vd1178=Vd1180)|Vd1178=Vd1179)|(![Vd1184]: (~Vd1180=Vd1184|~rpoint(Vd1184))))|(![Vd1183]: (~Vd1179=Vd1183|~rpoint(Vd1183))))|(![Vd1182]: (~Vd1178=Vd1182|~rpoint(Vd1182))))|vf(Vd1186,Vd1187)=vf(Vd1179,Vd1180))),
% 4.12/0.94 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 4.12/0.94 fof(f192,plain,(
% 4.12/0.94 ![Vd1179,Vd1180,Vd1186,Vd1187]: ((![Vd1178]: (((((((![Vd1185]: (((((((?[Vd1195]: (((ron(Vd1187,Vd1195)&ron(Vd1186,Vd1195))&ron(Vd1185,Vd1195))&rline(Vd1195)))|~vangle(Vd1179,Vd1178,Vd1180)=vangle(Vd1186,Vd1185,Vd1187))|~vf(Vd1178,Vd1180)=vf(Vd1185,Vd1187))|~vf(Vd1178,Vd1179)=vf(Vd1185,Vd1186))|(![Vd1191]: (~Vd1187=Vd1191|~rpoint(Vd1191))))|(![Vd1190]: (~Vd1186=Vd1190|~rpoint(Vd1190))))|(![Vd1189]: (~Vd1185=Vd1189|~rpoint(Vd1189)))))|Vd1179=Vd1180)|Vd1178=Vd1180)|Vd1178=Vd1179)|(![Vd1184]: (~Vd1180=Vd1184|~rpoint(Vd1184))))|(![Vd1183]: (~Vd1179=Vd1183|~rpoint(Vd1183))))|(![Vd1182]: (~Vd1178=Vd1182|~rpoint(Vd1182)))))|vf(Vd1186,Vd1187)=vf(Vd1179,Vd1180))),
% 4.12/0.94 inference(miniscoping,[status(esa)],[f191])).
% 4.12/0.94 fof(f193,plain,(
% 4.12/0.94 ![Vd1179,Vd1180,Vd1186,Vd1187]: ((![Vd1178]: (((((((![Vd1185]: (((((((((ron(Vd1187,sk0_8(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179))&ron(Vd1186,sk0_8(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179)))&ron(Vd1185,sk0_8(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179)))&rline(sk0_8(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179)))|~vangle(Vd1179,Vd1178,Vd1180)=vangle(Vd1186,Vd1185,Vd1187))|~vf(Vd1178,Vd1180)=vf(Vd1185,Vd1187))|~vf(Vd1178,Vd1179)=vf(Vd1185,Vd1186))|(![Vd1191]: (~Vd1187=Vd1191|~rpoint(Vd1191))))|(![Vd1190]: (~Vd1186=Vd1190|~rpoint(Vd1190))))|(![Vd1189]: (~Vd1185=Vd1189|~rpoint(Vd1189)))))|Vd1179=Vd1180)|Vd1178=Vd1180)|Vd1178=Vd1179)|(![Vd1184]: (~Vd1180=Vd1184|~rpoint(Vd1184))))|(![Vd1183]: (~Vd1179=Vd1183|~rpoint(Vd1183))))|(![Vd1182]: (~Vd1178=Vd1182|~rpoint(Vd1182)))))|vf(Vd1186,Vd1187)=vf(Vd1179,Vd1180))),
% 4.12/0.94 inference(skolemization,[status(esa)],[f192])).
% 4.12/0.94 fof(f194,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (ron(X0,sk0_8(X1,X2,X0,X3,X4,X5))|~vangle(X5,X2,X4)=vangle(X3,X1,X0)|~vf(X2,X4)=vf(X1,X0)|~vf(X2,X5)=vf(X1,X3)|~X0=X6|~rpoint(X6)|~X3=X7|~rpoint(X7)|~X1=X8|~rpoint(X8)|X5=X4|X2=X4|X2=X5|~X4=X9|~rpoint(X9)|~X5=X10|~rpoint(X10)|~X2=X11|~rpoint(X11)|vf(X3,X0)=vf(X5,X4))),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f193])).
% 4.12/0.94 fof(f195,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (ron(X0,sk0_8(X1,X2,X3,X0,X4,X5))|~vangle(X5,X2,X4)=vangle(X0,X1,X3)|~vf(X2,X4)=vf(X1,X3)|~vf(X2,X5)=vf(X1,X0)|~X3=X6|~rpoint(X6)|~X0=X7|~rpoint(X7)|~X1=X8|~rpoint(X8)|X5=X4|X2=X4|X2=X5|~X4=X9|~rpoint(X9)|~X5=X10|~rpoint(X10)|~X2=X11|~rpoint(X11)|vf(X0,X3)=vf(X5,X4))),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f193])).
% 4.12/0.94 fof(f196,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (ron(X0,sk0_8(X0,X1,X2,X3,X4,X5))|~vangle(X5,X1,X4)=vangle(X3,X0,X2)|~vf(X1,X4)=vf(X0,X2)|~vf(X1,X5)=vf(X0,X3)|~X2=X6|~rpoint(X6)|~X3=X7|~rpoint(X7)|~X0=X8|~rpoint(X8)|X5=X4|X1=X4|X1=X5|~X4=X9|~rpoint(X9)|~X5=X10|~rpoint(X10)|~X1=X11|~rpoint(X11)|vf(X3,X2)=vf(X5,X4))),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f193])).
% 4.12/0.94 fof(f197,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (rline(sk0_8(X0,X1,X2,X3,X4,X5))|~vangle(X5,X1,X4)=vangle(X3,X0,X2)|~vf(X1,X4)=vf(X0,X2)|~vf(X1,X5)=vf(X0,X3)|~X2=X6|~rpoint(X6)|~X3=X7|~rpoint(X7)|~X0=X8|~rpoint(X8)|X5=X4|X1=X4|X1=X5|~X4=X9|~rpoint(X9)|~X5=X10|~rpoint(X10)|~X1=X11|~rpoint(X11)|vf(X3,X2)=vf(X5,X4))),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f193])).
% 4.12/0.94 fof(f515,plain,(
% 4.12/0.94 ![Vd761,Vd762]: (((![Vd765]: (~Vd762=Vd765|~rpoint(Vd765)))|(![Vd764]: (~Vd761=Vd764|~rpoint(Vd764))))|vf(Vd761,Vd762)=vf(Vd762,Vd761))),
% 4.12/0.94 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 4.12/0.94 fof(f516,plain,(
% 4.12/0.94 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=vf(X0,X2))),
% 4.12/0.94 inference(cnf_transformation,[status(esa)],[f515])).
% 4.12/0.94 fof(f989,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5]: (ron(X0,sk0_8(X1,X2,X0,X3,X4,X5))|~vangle(X5,X2,X4)=vangle(X3,X1,X0)|~vf(X2,X4)=vf(X1,X0)|~vf(X2,X5)=vf(X1,X3)|~rpoint(X0)|~rpoint(X3)|~rpoint(X1)|X5=X4|X2=X4|X2=X5|~rpoint(X4)|~rpoint(X5)|~rpoint(X2)|vf(X3,X0)=vf(X5,X4))),
% 4.12/0.94 inference(destructive_equality_resolution,[status(esa)],[f194])).
% 4.12/0.94 fof(f990,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5]: (ron(X0,sk0_8(X1,X2,X3,X0,X4,X5))|~vangle(X5,X2,X4)=vangle(X0,X1,X3)|~vf(X2,X4)=vf(X1,X3)|~vf(X2,X5)=vf(X1,X0)|~rpoint(X3)|~rpoint(X0)|~rpoint(X1)|X5=X4|X2=X4|X2=X5|~rpoint(X4)|~rpoint(X5)|~rpoint(X2)|vf(X0,X3)=vf(X5,X4))),
% 4.12/0.94 inference(destructive_equality_resolution,[status(esa)],[f195])).
% 4.12/0.94 fof(f991,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5]: (ron(X0,sk0_8(X0,X1,X2,X3,X4,X5))|~vangle(X5,X1,X4)=vangle(X3,X0,X2)|~vf(X1,X4)=vf(X0,X2)|~vf(X1,X5)=vf(X0,X3)|~rpoint(X2)|~rpoint(X3)|~rpoint(X0)|X5=X4|X1=X4|X1=X5|~rpoint(X4)|~rpoint(X5)|~rpoint(X1)|vf(X3,X2)=vf(X5,X4))),
% 4.12/0.94 inference(destructive_equality_resolution,[status(esa)],[f196])).
% 4.12/0.94 fof(f992,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4,X5]: (rline(sk0_8(X0,X1,X2,X3,X4,X5))|~vangle(X5,X1,X4)=vangle(X3,X0,X2)|~vf(X1,X4)=vf(X0,X2)|~vf(X1,X5)=vf(X0,X3)|~rpoint(X2)|~rpoint(X3)|~rpoint(X0)|X5=X4|X1=X4|X1=X5|~rpoint(X4)|~rpoint(X5)|~rpoint(X1)|vf(X3,X2)=vf(X5,X4))),
% 4.12/0.94 inference(destructive_equality_resolution,[status(esa)],[f197])).
% 4.12/0.94 fof(f1306,plain,(
% 4.12/0.94 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|vf(X1,X0)=vf(X0,X1))),
% 4.12/0.94 inference(destructive_equality_resolution,[status(esa)],[f516])).
% 4.12/0.94 fof(f1494,plain,(
% 4.12/0.94 spl0_8 <=> rpoint(vd1157)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1496,plain,(
% 4.12/0.94 ~rpoint(vd1157)|spl0_8),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1494])).
% 4.12/0.94 fof(f1497,plain,(
% 4.12/0.94 spl0_9 <=> rpoint(vd1156)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1499,plain,(
% 4.12/0.94 ~rpoint(vd1156)|spl0_9),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1497])).
% 4.12/0.94 fof(f1500,plain,(
% 4.12/0.94 spl0_10 <=> vf(vd1163,vd1164)=vf(vd1157,vd1156)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1501,plain,(
% 4.12/0.94 vf(vd1163,vd1164)=vf(vd1157,vd1156)|~spl0_10),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1500])).
% 4.12/0.94 fof(f1503,plain,(
% 4.12/0.94 ~rpoint(vd1157)|~rpoint(vd1156)|vf(vd1163,vd1164)=vf(vd1157,vd1156)),
% 4.12/0.94 inference(paramodulation,[status(thm)],[f163,f1306])).
% 4.12/0.94 fof(f1504,plain,(
% 4.12/0.94 ~spl0_8|~spl0_9|spl0_10),
% 4.12/0.94 inference(split_clause,[status(thm)],[f1503,f1494,f1497,f1500])).
% 4.12/0.94 fof(f1505,plain,(
% 4.12/0.94 spl0_11 <=> rpoint(vd1158)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1507,plain,(
% 4.12/0.94 ~rpoint(vd1158)|spl0_11),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1505])).
% 4.12/0.94 fof(f1508,plain,(
% 4.12/0.94 spl0_12 <=> vf(vd1163,vd1165)=vf(vd1158,vd1156)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1509,plain,(
% 4.12/0.94 vf(vd1163,vd1165)=vf(vd1158,vd1156)|~spl0_12),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1508])).
% 4.12/0.94 fof(f1511,plain,(
% 4.12/0.94 ~rpoint(vd1158)|~rpoint(vd1156)|vf(vd1163,vd1165)=vf(vd1158,vd1156)),
% 4.12/0.94 inference(paramodulation,[status(thm)],[f162,f1306])).
% 4.12/0.94 fof(f1512,plain,(
% 4.12/0.94 ~spl0_11|~spl0_9|spl0_12),
% 4.12/0.94 inference(split_clause,[status(thm)],[f1511,f1505,f1497,f1508])).
% 4.12/0.94 fof(f1517,plain,(
% 4.12/0.94 rpoint(vd1165)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f164,f165])).
% 4.12/0.94 fof(f1518,plain,(
% 4.12/0.94 rpoint(vd1164)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f166,f167])).
% 4.12/0.94 fof(f1519,plain,(
% 4.12/0.94 rpoint(vd1163)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f168,f169])).
% 4.12/0.94 fof(f1520,plain,(
% 4.12/0.94 rpoint(vd1158)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f173,f174])).
% 4.12/0.94 fof(f1521,plain,(
% 4.12/0.94 $false|spl0_11),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1520,f1507])).
% 4.12/0.94 fof(f1522,plain,(
% 4.12/0.94 spl0_11),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1521])).
% 4.12/0.94 fof(f1523,plain,(
% 4.12/0.94 rpoint(vd1157)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f175,f176])).
% 4.12/0.94 fof(f1524,plain,(
% 4.12/0.94 rpoint(vd1156)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f177,f178])).
% 4.12/0.94 fof(f1525,plain,(
% 4.12/0.94 $false|spl0_9),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1524,f1499])).
% 4.12/0.94 fof(f1526,plain,(
% 4.12/0.94 spl0_9),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1525])).
% 4.12/0.94 fof(f1527,plain,(
% 4.12/0.94 $false|spl0_8),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1496,f1523])).
% 4.12/0.94 fof(f1528,plain,(
% 4.12/0.94 spl0_8),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1527])).
% 4.12/0.94 fof(f1529,plain,(
% 4.12/0.94 vf(vd1156,vd1158)=vf(vd1158,vd1156)|~spl0_12),
% 4.12/0.94 inference(backward_demodulation,[status(thm)],[f1509,f162])).
% 4.12/0.94 fof(f1530,plain,(
% 4.12/0.94 spl0_13 <=> rpoint(vd1163)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1532,plain,(
% 4.12/0.94 ~rpoint(vd1163)|spl0_13),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1530])).
% 4.12/0.94 fof(f1533,plain,(
% 4.12/0.94 spl0_14 <=> rpoint(vd1165)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1535,plain,(
% 4.12/0.94 ~rpoint(vd1165)|spl0_14),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1533])).
% 4.12/0.94 fof(f1543,plain,(
% 4.12/0.94 $false|spl0_14),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1535,f1517])).
% 4.12/0.94 fof(f1544,plain,(
% 4.12/0.94 spl0_14),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1543])).
% 4.12/0.94 fof(f1545,plain,(
% 4.12/0.94 $false|spl0_13),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1532,f1519])).
% 4.12/0.94 fof(f1546,plain,(
% 4.12/0.94 spl0_13),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1545])).
% 4.12/0.94 fof(f1547,plain,(
% 4.12/0.94 vf(vd1156,vd1157)=vf(vd1157,vd1156)|~spl0_10),
% 4.12/0.94 inference(backward_demodulation,[status(thm)],[f1501,f163])).
% 4.12/0.94 fof(f1548,plain,(
% 4.12/0.94 spl0_16 <=> rpoint(vd1164)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1550,plain,(
% 4.12/0.94 ~rpoint(vd1164)|spl0_16),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1548])).
% 4.12/0.94 fof(f1558,plain,(
% 4.12/0.94 $false|spl0_16),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1550,f1518])).
% 4.12/0.94 fof(f1559,plain,(
% 4.12/0.94 spl0_16),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1558])).
% 4.12/0.94 fof(f1604,plain,(
% 4.12/0.94 spl0_24 <=> vd1156=vd1157),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1605,plain,(
% 4.12/0.94 vd1156=vd1157|~spl0_24),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1604])).
% 4.12/0.94 fof(f1609,plain,(
% 4.12/0.94 spl0_25 <=> vd1156=vd1158),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1610,plain,(
% 4.12/0.94 vd1156=vd1158|~spl0_25),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1609])).
% 4.12/0.94 fof(f1823,plain,(
% 4.12/0.94 spl0_42 <=> ~vangle(X0,X1,X2)=vangle(X3,vd1163,X4)|~vf(X1,X2)=vf(vd1163,X4)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X4)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,X4)=vf(X0,X2)|~ron(vd1165,sk0_8(vd1163,X1,X4,X3,X2,X0))|~ron(vd1164,sk0_8(vd1163,X1,X4,X3,X2,X0))|~rline(sk0_8(vd1163,X1,X4,X3,X2,X0))),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f1824,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,X4)|~vf(X1,X2)=vf(vd1163,X4)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X4)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,X4)=vf(X0,X2)|~ron(vd1165,sk0_8(vd1163,X1,X4,X3,X2,X0))|~ron(vd1164,sk0_8(vd1163,X1,X4,X3,X2,X0))|~rline(sk0_8(vd1163,X1,X4,X3,X2,X0))|~spl0_42)),
% 4.12/0.94 inference(component_clause,[status(thm)],[f1823])).
% 4.12/0.94 fof(f1826,plain,(
% 4.12/0.94 ![X0,X1,X2,X3,X4]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,X4)|~vf(X1,X2)=vf(vd1163,X4)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X4)|~rpoint(X3)|~rpoint(vd1163)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,X4)=vf(X0,X2)|~ron(vd1165,sk0_8(vd1163,X1,X4,X3,X2,X0))|~ron(vd1164,sk0_8(vd1163,X1,X4,X3,X2,X0))|~rline(sk0_8(vd1163,X1,X4,X3,X2,X0)))),
% 4.12/0.94 inference(resolution,[status(thm)],[f991,f160])).
% 4.12/0.94 fof(f1827,plain,(
% 4.12/0.94 spl0_42|~spl0_13),
% 4.12/0.94 inference(split_clause,[status(thm)],[f1826,f1823,f1530])).
% 4.12/0.94 fof(f1882,plain,(
% 4.12/0.94 $false|~spl0_25),
% 4.12/0.94 inference(forward_subsumption_resolution,[status(thm)],[f1610,f171])).
% 4.12/0.94 fof(f1883,plain,(
% 4.12/0.94 ~spl0_25),
% 4.12/0.94 inference(contradiction_clause,[status(thm)],[f1882])).
% 4.12/0.94 fof(f2211,plain,(
% 4.12/0.94 spl0_71 <=> ~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~ron(vd1164,sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~rline(sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f2212,plain,(
% 4.12/0.94 ![X0,X1,X2,X3]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~ron(vd1164,sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~rline(sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~spl0_71)),
% 4.12/0.94 inference(component_clause,[status(thm)],[f2211])).
% 4.12/0.94 fof(f2214,plain,(
% 4.12/0.94 ![X0,X1,X2,X3]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(vd1165)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~ron(vd1164,sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~rline(sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(vd1165)|~rpoint(X3)|~rpoint(vd1163)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~spl0_42)),
% 4.12/0.94 inference(resolution,[status(thm)],[f1824,f989])).
% 4.12/0.94 fof(f2215,plain,(
% 4.12/0.94 spl0_71|~spl0_14|~spl0_13|~spl0_42),
% 4.12/0.94 inference(split_clause,[status(thm)],[f2214,f2211,f1533,f1530,f1823])).
% 4.12/0.94 fof(f2219,plain,(
% 4.12/0.94 ![X0,X1,X2,X3]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~ron(vd1164,sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~rline(sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~spl0_12|~spl0_71)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1509,f2212])).
% 4.12/0.94 fof(f2220,plain,(
% 4.12/0.94 ![X0,X1,X2,X3]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~ron(vd1164,sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~rline(sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~spl0_12|~spl0_71)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1509,f2219])).
% 4.12/0.94 fof(f2221,plain,(
% 4.12/0.94 ![X0,X1,X2,X3]: (~vangle(X0,X1,X2)=vangle(X3,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,X3)|~rpoint(X3)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(X3,vd1165)=vf(X0,X2)|~ron(vd1164,sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~rline(sk0_8(vd1163,X1,vd1165,X3,X2,X0))|~spl0_12|~spl0_71)),
% 4.12/0.94 inference(duplicate_literals_removal,[status(esa)],[f2220])).
% 4.12/0.94 fof(f2241,plain,(
% 4.12/0.94 spl0_74 <=> ~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f2242,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_74)),
% 4.12/0.94 inference(component_clause,[status(thm)],[f2241])).
% 4.12/0.94 fof(f2244,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,vd1164)|~rpoint(vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|~rpoint(vd1165)|~rpoint(vd1164)|~rpoint(vd1163)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_12|~spl0_71)),
% 4.12/0.94 inference(resolution,[status(thm)],[f2221,f990])).
% 4.12/0.94 fof(f2245,plain,(
% 4.12/0.94 spl0_74|~spl0_16|~spl0_14|~spl0_13|~spl0_12|~spl0_71),
% 4.12/0.94 inference(split_clause,[status(thm)],[f2244,f2241,f1548,f1533,f1530,f1508,f2211])).
% 4.12/0.94 fof(f2246,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_74)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f161,f2242])).
% 4.12/0.94 fof(f2247,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_10|~spl0_74)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1501,f2246])).
% 4.12/0.94 fof(f2248,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_10|~spl0_74)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f161,f2247])).
% 4.12/0.94 fof(f2249,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_12|~spl0_10|~spl0_74)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1509,f2248])).
% 4.12/0.94 fof(f2250,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_12|~spl0_10|~spl0_74)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1501,f2249])).
% 4.12/0.94 fof(f2251,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~rline(sk0_8(vd1163,X1,vd1165,vd1164,X2,X0))|~spl0_12|~spl0_10|~spl0_74)),
% 4.12/0.94 inference(duplicate_literals_removal,[status(esa)],[f2250])).
% 4.12/0.94 fof(f2252,plain,(
% 4.12/0.94 spl0_75 <=> ~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)),
% 4.12/0.94 introduced(split_symbol_definition)).
% 4.12/0.94 fof(f2253,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_75)),
% 4.12/0.94 inference(component_clause,[status(thm)],[f2252])).
% 4.12/0.94 fof(f2255,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~vangle(X0,X1,X2)=vangle(vd1164,vd1163,vd1165)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|~rpoint(vd1165)|~rpoint(vd1164)|~rpoint(vd1163)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_12|~spl0_10|~spl0_74)),
% 4.12/0.94 inference(resolution,[status(thm)],[f2251,f992])).
% 4.12/0.94 fof(f2256,plain,(
% 4.12/0.94 spl0_75|~spl0_14|~spl0_16|~spl0_13|~spl0_12|~spl0_10|~spl0_74),
% 4.12/0.94 inference(split_clause,[status(thm)],[f2255,f2252,f1533,f1548,f1530,f1508,f1500,f2241])).
% 4.12/0.94 fof(f2257,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1163,vd1165)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_75)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f161,f2253])).
% 4.12/0.94 fof(f2258,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1163,vd1164)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_12|~spl0_75)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1509,f2257])).
% 4.12/0.94 fof(f2259,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_10|~spl0_12|~spl0_75)),
% 4.12/0.94 inference(forward_demodulation,[status(thm)],[f1501,f2258])).
% 4.12/0.94 fof(f2260,plain,(
% 4.12/0.94 ![X0,X1,X2]: (~vangle(X0,X1,X2)=vangle(vd1157,vd1156,vd1158)|~vf(X1,X2)=vf(vd1158,vd1156)|~vf(X1,X0)=vf(vd1157,vd1156)|X0=X2|X1=X2|X1=X0|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|vf(vd1164,vd1165)=vf(X0,X2)|~spl0_10|~spl0_12|~spl0_75)),
% 4.12/0.94 inference(duplicate_literals_removal,[status(esa)],[f2259])).
% 4.12/0.94 fof(f2268,plain,(
% 4.12/0.94 spl0_77 <=> vf(vd1156,vd1158)=vf(vd1158,vd1156)),
% 4.12/0.95 introduced(split_symbol_definition)).
% 4.12/0.95 fof(f2270,plain,(
% 4.12/0.95 ~vf(vd1156,vd1158)=vf(vd1158,vd1156)|spl0_77),
% 4.12/0.95 inference(component_clause,[status(thm)],[f2268])).
% 4.12/0.95 fof(f2271,plain,(
% 4.12/0.95 spl0_78 <=> vf(vd1156,vd1157)=vf(vd1157,vd1156)),
% 4.12/0.95 introduced(split_symbol_definition)).
% 4.12/0.95 fof(f2273,plain,(
% 4.12/0.95 ~vf(vd1156,vd1157)=vf(vd1157,vd1156)|spl0_78),
% 4.12/0.95 inference(component_clause,[status(thm)],[f2271])).
% 4.12/0.95 fof(f2274,plain,(
% 4.12/0.95 spl0_79 <=> vd1157=vd1158),
% 4.12/0.95 introduced(split_symbol_definition)).
% 4.12/0.95 fof(f2275,plain,(
% 4.12/0.95 vd1157=vd1158|~spl0_79),
% 4.12/0.95 inference(component_clause,[status(thm)],[f2274])).
% 4.12/0.95 fof(f2277,plain,(
% 4.12/0.95 spl0_80 <=> vf(vd1164,vd1165)=vf(vd1157,vd1158)),
% 4.12/0.95 introduced(split_symbol_definition)).
% 4.12/0.95 fof(f2278,plain,(
% 4.12/0.95 vf(vd1164,vd1165)=vf(vd1157,vd1158)|~spl0_80),
% 4.12/0.95 inference(component_clause,[status(thm)],[f2277])).
% 4.12/0.95 fof(f2280,plain,(
% 4.12/0.95 ~vf(vd1156,vd1158)=vf(vd1158,vd1156)|~vf(vd1156,vd1157)=vf(vd1157,vd1156)|vd1157=vd1158|vd1156=vd1158|vd1156=vd1157|~rpoint(vd1158)|~rpoint(vd1157)|~rpoint(vd1156)|vf(vd1164,vd1165)=vf(vd1157,vd1158)|~spl0_10|~spl0_12|~spl0_75),
% 4.12/0.95 inference(equality_resolution,[status(esa)],[f2260])).
% 4.12/0.95 fof(f2281,plain,(
% 4.12/0.95 ~spl0_77|~spl0_78|spl0_79|spl0_25|spl0_24|~spl0_11|~spl0_8|~spl0_9|spl0_80|~spl0_10|~spl0_12|~spl0_75),
% 4.12/0.95 inference(split_clause,[status(thm)],[f2280,f2268,f2271,f2274,f1609,f1604,f1505,f1494,f1497,f2277,f1500,f1508,f2252])).
% 4.12/0.95 fof(f2282,plain,(
% 4.12/0.95 ~vf(vd1157,vd1156)=vf(vd1157,vd1156)|~spl0_10|spl0_78),
% 4.12/0.95 inference(forward_demodulation,[status(thm)],[f1547,f2273])).
% 4.12/0.95 fof(f2283,plain,(
% 4.12/0.95 $false|~spl0_10|spl0_78),
% 4.12/0.95 inference(trivial_equality_resolution,[status(esa)],[f2282])).
% 4.12/0.95 fof(f2284,plain,(
% 4.12/0.95 ~spl0_10|spl0_78),
% 4.12/0.95 inference(contradiction_clause,[status(thm)],[f2283])).
% 4.12/0.95 fof(f2285,plain,(
% 4.12/0.95 ~vf(vd1158,vd1156)=vf(vd1158,vd1156)|~spl0_12|spl0_77),
% 4.12/0.95 inference(forward_demodulation,[status(thm)],[f1529,f2270])).
% 4.12/0.95 fof(f2286,plain,(
% 4.12/0.95 $false|~spl0_12|spl0_77),
% 4.12/0.95 inference(trivial_equality_resolution,[status(esa)],[f2285])).
% 4.12/0.95 fof(f2287,plain,(
% 4.12/0.95 ~spl0_12|spl0_77),
% 4.12/0.95 inference(contradiction_clause,[status(thm)],[f2286])).
% 4.12/0.95 fof(f2290,plain,(
% 4.12/0.95 $false|~spl0_24),
% 4.12/0.95 inference(forward_subsumption_resolution,[status(thm)],[f1605,f172])).
% 4.12/0.95 fof(f2291,plain,(
% 4.12/0.95 ~spl0_24),
% 4.12/0.95 inference(contradiction_clause,[status(thm)],[f2290])).
% 4.12/0.95 fof(f2292,plain,(
% 4.12/0.95 $false|~spl0_79),
% 4.12/0.95 inference(forward_subsumption_resolution,[status(thm)],[f2275,f170])).
% 4.12/0.95 fof(f2293,plain,(
% 4.12/0.95 ~spl0_79),
% 4.12/0.95 inference(contradiction_clause,[status(thm)],[f2292])).
% 4.12/0.95 fof(f2294,plain,(
% 4.12/0.95 $false|~spl0_80),
% 4.12/0.95 inference(forward_subsumption_resolution,[status(thm)],[f2278,f157])).
% 4.12/0.95 fof(f2295,plain,(
% 4.12/0.95 ~spl0_80),
% 4.12/0.95 inference(contradiction_clause,[status(thm)],[f2294])).
% 4.12/0.95 fof(f2296,plain,(
% 4.12/0.95 $false),
% 4.12/0.95 inference(sat_refutation,[status(thm)],[f1504,f1512,f1522,f1526,f1528,f1544,f1546,f1559,f1827,f1883,f2215,f2245,f2256,f2281,f2284,f2287,f2291,f2293,f2295])).
% 4.12/0.95 % SZS output end CNFRefutation for theBenchmark.p
% 4.12/0.95 % Elapsed time: 0.600760 seconds
% 4.12/0.95 % CPU time: 4.275724 seconds
% 4.12/0.95 % Total memory used: 122.491 MB
% 4.12/0.95 % Net memory used: 121.528 MB
%------------------------------------------------------------------------------