TSTP Solution File: GEO341+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO341+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 : Wed May 31 12:08:47 EDT 2023
% Result : Theorem 10.22s 1.70s
% Output : CNFRefutation 10.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO341+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 12:03:23 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 10.22/1.70 % Refutation found
% 10.22/1.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.22/1.70 % SZS output start CNFRefutation for theBenchmark
% 10.22/1.70 fof(f1,conjecture,(
% 10.22/1.70 vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401) ),
% 10.22/1.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.70 fof(f2,negated_conjecture,(
% 10.22/1.70 ~(vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401) )),
% 10.22/1.70 inference(negated_conjecture,[status(cth)],[f1])).
% 10.22/1.70 fof(f5,axiom,(
% 10.22/1.70 vf(vd1399,vd1401) = vf(vd1399,vd1409) ),
% 10.22/1.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.70 fof(f7,axiom,(
% 10.22/1.70 rpoint(vd1409) ),
% 10.22/1.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.70 fof(f8,axiom,(
% 10.22/1.70 ( vd1406 = vd1407& ron(vd1400,vd1406)& ron(vd1399,vd1406)& rline(vd1407)& vd1400 != vd1401& vd1399 != vd1401& vd1399 != vd1400& (? [Vd1405] :( vd1401 = Vd1405& rpoint(Vd1405) ))& (? [Vd1404] :( vd1400 = Vd1404& rpoint(Vd1404) ))& (? [Vd1403] :( vd1399 = Vd1403& rpoint(Vd1403) ) )) ),
% 10.22/1.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.70 fof(f11,axiom,(
% 10.22/1.70 (! [Vd1271,Vd1272,Vd1273] :( ( vf(Vd1271,Vd1272) = vf(Vd1271,Vd1273)& Vd1272 != Vd1273& Vd1271 != Vd1273& Vd1271 != Vd1272& (? [Vd1277] :( Vd1273 = Vd1277& rpoint(Vd1277) ))& (? [Vd1276] :( Vd1272 = Vd1276& rpoint(Vd1276) ))& (? [Vd1275] :( Vd1271 = Vd1275& rpoint(Vd1275) ) ))=> (! [Vd1279,Vd1280,Vd1282,Vd1283] :( ( Vd1279 = Vd1280& Vd1282 = Vd1283& rR(Vd1273,Vd1271,Vd1282)& rpoint(Vd1283)& rR(Vd1272,Vd1271,Vd1279)& rpoint(Vd1280) )=> vangle(Vd1271,Vd1272,Vd1273) = vangle(Vd1271,Vd1273,Vd1272) ) )) )),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f12,axiom,(
% 10.22/1.71 (! [Vd1156,Vd1157,Vd1158,Vd1163,Vd1164,Vd1165] :( ( ~ (? [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) ) ))=> vangle(Vd1156,Vd1158,Vd1157) = vangle(Vd1163,Vd1165,Vd1164) ) )),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f25,axiom,(
% 10.22/1.71 (! [Vd767,Vd768,Vd769] :( ( Vd767 != Vd769& Vd767 != Vd768& (? [Vd773] :( Vd769 = Vd773& rpoint(Vd773) ))& (? [Vd772] :( Vd768 = Vd772& rpoint(Vd772) ))& (? [Vd771] :( Vd767 = Vd771& rpoint(Vd771) ) ))=> vangle(Vd767,Vd768,Vd769) = vangle(Vd769,Vd768,Vd767) ) )),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f27,axiom,(
% 10.22/1.71 (! [Vd748,Vd749] :( ( (? [Vd752] :( Vd749 = Vd752& rpoint(Vd752) ))& (? [Vd751] :( Vd748 = Vd751& rpoint(Vd751) ) ))=> ( vf(Vd748,Vd749) = v0<=> Vd748 = Vd749 ) ) )),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f53,axiom,(
% 10.22/1.71 v0 = vd684 ),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f54,axiom,(
% 10.22/1.71 rreal(vd684) ),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f100,axiom,(
% 10.22/1.71 (! [Vd127,Vd128,Vd129,Vd130] :( ( Vd129 != Vd130& ron(Vd130,Vd127)& ron(Vd129,Vd127)& (? [Vd133] :( Vd130 = Vd133& rpoint(Vd133) ))& (? [Vd132] :( Vd129 = Vd132& rpoint(Vd132) ))& Vd127 = Vd128& rline(Vd128) )=> (? [Vd136] :( rR(Vd130,Vd129,Vd136)& rpoint(Vd136) ) )) )),
% 10.22/1.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.22/1.71 fof(f125,plain,(
% 10.22/1.71 ~vangle(vd1399,vd1401,vd1409)=vangle(vd1399,vd1409,vd1401)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f2])).
% 10.22/1.71 fof(f128,plain,(
% 10.22/1.71 vf(vd1399,vd1401)=vf(vd1399,vd1409)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f5])).
% 10.22/1.71 fof(f130,plain,(
% 10.22/1.71 rpoint(vd1409)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f7])).
% 10.22/1.71 fof(f131,plain,(
% 10.22/1.71 ((((((((vd1406=vd1407&ron(vd1400,vd1406))&ron(vd1399,vd1406))&rline(vd1407))&~vd1400=vd1401)&~vd1399=vd1401)&~vd1399=vd1400)&(vd1401=sk0_0&rpoint(sk0_0)))&(vd1400=sk0_1&rpoint(sk0_1)))&(vd1399=sk0_2&rpoint(sk0_2))),
% 10.22/1.71 inference(skolemization,[status(esa)],[f8])).
% 10.22/1.71 fof(f132,plain,(
% 10.22/1.71 vd1406=vd1407),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f133,plain,(
% 10.22/1.71 ron(vd1400,vd1406)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f134,plain,(
% 10.22/1.71 ron(vd1399,vd1406)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f135,plain,(
% 10.22/1.71 rline(vd1407)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f136,plain,(
% 10.22/1.71 ~vd1400=vd1401),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f137,plain,(
% 10.22/1.71 ~vd1399=vd1401),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f138,plain,(
% 10.22/1.71 ~vd1399=vd1400),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f139,plain,(
% 10.22/1.71 vd1401=sk0_0),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f140,plain,(
% 10.22/1.71 rpoint(sk0_0)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f141,plain,(
% 10.22/1.71 vd1400=sk0_1),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f142,plain,(
% 10.22/1.71 rpoint(sk0_1)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f143,plain,(
% 10.22/1.71 vd1399=sk0_2),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f144,plain,(
% 10.22/1.71 rpoint(sk0_2)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f131])).
% 10.22/1.71 fof(f150,plain,(
% 10.22/1.71 ![Vd1271,Vd1272,Vd1273]: (((((((~vf(Vd1271,Vd1272)=vf(Vd1271,Vd1273)|Vd1272=Vd1273)|Vd1271=Vd1273)|Vd1271=Vd1272)|(![Vd1277]: (~Vd1273=Vd1277|~rpoint(Vd1277))))|(![Vd1276]: (~Vd1272=Vd1276|~rpoint(Vd1276))))|(![Vd1275]: (~Vd1271=Vd1275|~rpoint(Vd1275))))|(![Vd1279,Vd1280,Vd1282,Vd1283]: ((((((~Vd1279=Vd1280|~Vd1282=Vd1283)|~rR(Vd1273,Vd1271,Vd1282))|~rpoint(Vd1283))|~rR(Vd1272,Vd1271,Vd1279))|~rpoint(Vd1280))|vangle(Vd1271,Vd1272,Vd1273)=vangle(Vd1271,Vd1273,Vd1272))))),
% 10.22/1.71 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 10.22/1.71 fof(f151,plain,(
% 10.22/1.71 ![Vd1271,Vd1272,Vd1273]: (((((((~vf(Vd1271,Vd1272)=vf(Vd1271,Vd1273)|Vd1272=Vd1273)|Vd1271=Vd1273)|Vd1271=Vd1272)|(![Vd1277]: (~Vd1273=Vd1277|~rpoint(Vd1277))))|(![Vd1276]: (~Vd1272=Vd1276|~rpoint(Vd1276))))|(![Vd1275]: (~Vd1271=Vd1275|~rpoint(Vd1275))))|((![Vd1280]: ((![Vd1279]: ((![Vd1283]: ((![Vd1282]: ((~Vd1279=Vd1280|~Vd1282=Vd1283)|~rR(Vd1273,Vd1271,Vd1282)))|~rpoint(Vd1283)))|~rR(Vd1272,Vd1271,Vd1279)))|~rpoint(Vd1280)))|vangle(Vd1271,Vd1272,Vd1273)=vangle(Vd1271,Vd1273,Vd1272)))),
% 10.22/1.71 inference(miniscoping,[status(esa)],[f150])).
% 10.22/1.71 fof(f152,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~vf(X0,X1)=vf(X0,X2)|X1=X2|X0=X2|X0=X1|~X2=X3|~rpoint(X3)|~X1=X4|~rpoint(X4)|~X0=X5|~rpoint(X5)|~X6=X7|~X8=X9|~rR(X2,X0,X8)|~rpoint(X9)|~rR(X1,X0,X6)|~rpoint(X7)|vangle(X0,X1,X2)=vangle(X0,X2,X1))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f151])).
% 10.22/1.71 fof(f153,plain,(
% 10.22/1.71 ![Vd1156,Vd1157,Vd1158,Vd1163,Vd1164,Vd1165]: ((((((((((((((?[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))))|vangle(Vd1156,Vd1158,Vd1157)=vangle(Vd1163,Vd1165,Vd1164))),
% 10.22/1.71 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 10.22/1.71 fof(f154,plain,(
% 10.22/1.71 ![Vd1156,Vd1157,Vd1158,Vd1163,Vd1164,Vd1165]: ((((((((((((((((ron(Vd1165,sk0_3(Vd1165,Vd1164,Vd1163,Vd1158,Vd1157,Vd1156))&ron(Vd1164,sk0_3(Vd1165,Vd1164,Vd1163,Vd1158,Vd1157,Vd1156)))&ron(Vd1163,sk0_3(Vd1165,Vd1164,Vd1163,Vd1158,Vd1157,Vd1156)))&rline(sk0_3(Vd1165,Vd1164,Vd1163,Vd1158,Vd1157,Vd1156)))|~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))))|vangle(Vd1156,Vd1158,Vd1157)=vangle(Vd1163,Vd1165,Vd1164))),
% 10.22/1.71 inference(skolemization,[status(esa)],[f153])).
% 10.22/1.71 fof(f155,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (ron(X0,sk0_3(X0,X1,X2,X3,X4,X5))|~vangle(X4,X5,X3)=vangle(X1,X2,X0)|~vf(X5,X3)=vf(X2,X0)|~vf(X5,X4)=vf(X2,X1)|~X0=X6|~rpoint(X6)|~X1=X7|~rpoint(X7)|~X2=X8|~rpoint(X8)|X4=X3|X5=X3|X5=X4|~X3=X9|~rpoint(X9)|~X4=X10|~rpoint(X10)|~X5=X11|~rpoint(X11)|vangle(X5,X3,X4)=vangle(X2,X0,X1))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f154])).
% 10.22/1.71 fof(f157,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (ron(X0,sk0_3(X1,X2,X0,X3,X4,X5))|~vangle(X4,X5,X3)=vangle(X2,X0,X1)|~vf(X5,X3)=vf(X0,X1)|~vf(X5,X4)=vf(X0,X2)|~X1=X6|~rpoint(X6)|~X2=X7|~rpoint(X7)|~X0=X8|~rpoint(X8)|X4=X3|X5=X3|X5=X4|~X3=X9|~rpoint(X9)|~X4=X10|~rpoint(X10)|~X5=X11|~rpoint(X11)|vangle(X5,X3,X4)=vangle(X0,X1,X2))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f154])).
% 10.22/1.71 fof(f158,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (rline(sk0_3(X0,X1,X2,X3,X4,X5))|~vangle(X4,X5,X3)=vangle(X1,X2,X0)|~vf(X5,X3)=vf(X2,X0)|~vf(X5,X4)=vf(X2,X1)|~X0=X6|~rpoint(X6)|~X1=X7|~rpoint(X7)|~X2=X8|~rpoint(X8)|X4=X3|X5=X3|X5=X4|~X3=X9|~rpoint(X9)|~X4=X10|~rpoint(X10)|~X5=X11|~rpoint(X11)|vangle(X5,X3,X4)=vangle(X2,X0,X1))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f154])).
% 10.22/1.71 fof(f197,plain,(
% 10.22/1.71 ![Vd767,Vd768,Vd769]: (((((Vd767=Vd769|Vd767=Vd768)|(![Vd773]: (~Vd769=Vd773|~rpoint(Vd773))))|(![Vd772]: (~Vd768=Vd772|~rpoint(Vd772))))|(![Vd771]: (~Vd767=Vd771|~rpoint(Vd771))))|vangle(Vd767,Vd768,Vd769)=vangle(Vd769,Vd768,Vd767))),
% 10.22/1.71 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 10.22/1.71 fof(f198,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5]: (X0=X1|X0=X2|~X1=X3|~rpoint(X3)|~X2=X4|~rpoint(X4)|~X0=X5|~rpoint(X5)|vangle(X0,X2,X1)=vangle(X1,X2,X0))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f197])).
% 10.22/1.71 fof(f201,plain,(
% 10.22/1.71 ![Vd748,Vd749]: (((![Vd752]: (~Vd749=Vd752|~rpoint(Vd752)))|(![Vd751]: (~Vd748=Vd751|~rpoint(Vd751))))|(vf(Vd748,Vd749)=v0<=>Vd748=Vd749))),
% 10.22/1.71 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 10.22/1.71 fof(f202,plain,(
% 10.22/1.71 ![Vd748,Vd749]: (((![Vd752]: (~Vd749=Vd752|~rpoint(Vd752)))|(![Vd751]: (~Vd748=Vd751|~rpoint(Vd751))))|((~vf(Vd748,Vd749)=v0|Vd748=Vd749)&(vf(Vd748,Vd749)=v0|~Vd748=Vd749)))),
% 10.22/1.71 inference(NNF_transformation,[status(esa)],[f201])).
% 10.22/1.71 fof(f203,plain,(
% 10.22/1.71 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|~vf(X2,X0)=v0|X2=X0)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f202])).
% 10.22/1.71 fof(f204,plain,(
% 10.22/1.71 ![X0,X1,X2,X3]: (~X0=X1|~rpoint(X1)|~X2=X3|~rpoint(X3)|vf(X2,X0)=v0|~X2=X0)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f202])).
% 10.22/1.71 fof(f308,plain,(
% 10.22/1.71 v0=vd684),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f53])).
% 10.22/1.71 fof(f309,plain,(
% 10.22/1.71 rreal(vd684)),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f54])).
% 10.22/1.71 fof(f520,plain,(
% 10.22/1.71 ![Vd127,Vd128,Vd129,Vd130]: (((((((Vd129=Vd130|~ron(Vd130,Vd127))|~ron(Vd129,Vd127))|(![Vd133]: (~Vd130=Vd133|~rpoint(Vd133))))|(![Vd132]: (~Vd129=Vd132|~rpoint(Vd132))))|~Vd127=Vd128)|~rline(Vd128))|(?[Vd136]: (rR(Vd130,Vd129,Vd136)&rpoint(Vd136))))),
% 10.22/1.71 inference(pre_NNF_transformation,[status(esa)],[f100])).
% 10.22/1.71 fof(f521,plain,(
% 10.22/1.71 ![Vd129,Vd130]: ((![Vd128]: ((![Vd127]: (((((Vd129=Vd130|~ron(Vd130,Vd127))|~ron(Vd129,Vd127))|(![Vd133]: (~Vd130=Vd133|~rpoint(Vd133))))|(![Vd132]: (~Vd129=Vd132|~rpoint(Vd132))))|~Vd127=Vd128))|~rline(Vd128)))|(?[Vd136]: (rR(Vd130,Vd129,Vd136)&rpoint(Vd136))))),
% 10.22/1.71 inference(miniscoping,[status(esa)],[f520])).
% 10.22/1.71 fof(f522,plain,(
% 10.22/1.71 ![Vd129,Vd130]: ((![Vd128]: ((![Vd127]: (((((Vd129=Vd130|~ron(Vd130,Vd127))|~ron(Vd129,Vd127))|(![Vd133]: (~Vd130=Vd133|~rpoint(Vd133))))|(![Vd132]: (~Vd129=Vd132|~rpoint(Vd132))))|~Vd127=Vd128))|~rline(Vd128)))|(rR(Vd130,Vd129,sk0_38(Vd130,Vd129))&rpoint(sk0_38(Vd130,Vd129))))),
% 10.22/1.71 inference(skolemization,[status(esa)],[f521])).
% 10.22/1.71 fof(f523,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5]: (X0=X1|~ron(X1,X2)|~ron(X0,X2)|~X1=X3|~rpoint(X3)|~X0=X4|~rpoint(X4)|~X2=X5|~rline(X5)|rR(X1,X0,sk0_38(X1,X0)))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f522])).
% 10.22/1.71 fof(f524,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5]: (X0=X1|~ron(X1,X2)|~ron(X0,X2)|~X1=X3|~rpoint(X3)|~X0=X4|~rpoint(X4)|~X2=X5|~rline(X5)|rpoint(sk0_38(X1,X0)))),
% 10.22/1.71 inference(cnf_transformation,[status(esa)],[f522])).
% 10.22/1.71 fof(f695,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4]: (~vf(X0,X1)=vf(X0,X2)|X1=X2|X0=X2|X0=X1|~rpoint(X2)|~rpoint(X1)|~rpoint(X0)|~rR(X2,X0,X3)|~rpoint(X3)|~rR(X1,X0,X4)|~rpoint(X4)|vangle(X0,X1,X2)=vangle(X0,X2,X1))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f152])).
% 10.22/1.71 fof(f696,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5]: (ron(X0,sk0_3(X0,X1,X2,X3,X4,X5))|~vangle(X4,X5,X3)=vangle(X1,X2,X0)|~vf(X5,X3)=vf(X2,X0)|~vf(X5,X4)=vf(X2,X1)|~rpoint(X0)|~rpoint(X1)|~rpoint(X2)|X4=X3|X5=X3|X5=X4|~rpoint(X3)|~rpoint(X4)|~rpoint(X5)|vangle(X5,X3,X4)=vangle(X2,X0,X1))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f155])).
% 10.22/1.71 fof(f698,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5]: (ron(X0,sk0_3(X1,X2,X0,X3,X4,X5))|~vangle(X4,X5,X3)=vangle(X2,X0,X1)|~vf(X5,X3)=vf(X0,X1)|~vf(X5,X4)=vf(X0,X2)|~rpoint(X1)|~rpoint(X2)|~rpoint(X0)|X4=X3|X5=X3|X5=X4|~rpoint(X3)|~rpoint(X4)|~rpoint(X5)|vangle(X5,X3,X4)=vangle(X0,X1,X2))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f157])).
% 10.22/1.71 fof(f699,plain,(
% 10.22/1.71 ![X0,X1,X2,X3,X4,X5]: (rline(sk0_3(X0,X1,X2,X3,X4,X5))|~vangle(X4,X5,X3)=vangle(X1,X2,X0)|~vf(X5,X3)=vf(X2,X0)|~vf(X5,X4)=vf(X2,X1)|~rpoint(X0)|~rpoint(X1)|~rpoint(X2)|X4=X3|X5=X3|X5=X4|~rpoint(X3)|~rpoint(X4)|~rpoint(X5)|vangle(X5,X3,X4)=vangle(X2,X0,X1))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 10.22/1.71 fof(f720,plain,(
% 10.22/1.71 ![X0,X1,X2]: (X0=X1|X0=X2|~rpoint(X1)|~rpoint(X2)|~rpoint(X0)|vangle(X0,X2,X1)=vangle(X1,X2,X0))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f198])).
% 10.22/1.71 fof(f722,plain,(
% 10.22/1.71 ![X0,X1]: (~rpoint(X0)|~rpoint(X1)|~vf(X1,X0)=v0|X1=X0)),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f203])).
% 10.22/1.71 fof(f723,plain,(
% 10.22/1.71 ![X1]: (~rpoint(X1)|~rpoint(X1)|vf(X1,X1)=v0)),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f204])).
% 10.22/1.71 fof(f724,plain,(
% 10.22/1.71 ![X0]: (~rpoint(X0)|vf(X0,X0)=v0)),
% 10.22/1.71 inference(duplicate_literals_removal,[status(esa)],[f723])).
% 10.22/1.71 fof(f861,plain,(
% 10.22/1.71 ![X0,X1,X2]: (X0=X1|~ron(X1,X2)|~ron(X0,X2)|~rpoint(X1)|~rpoint(X0)|~rline(X2)|rR(X1,X0,sk0_38(X1,X0)))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f523])).
% 10.22/1.71 fof(f862,plain,(
% 10.22/1.71 ![X0,X1,X2]: (X0=X1|~ron(X1,X2)|~ron(X0,X2)|~rpoint(X1)|~rpoint(X0)|~rline(X2)|rpoint(sk0_38(X1,X0)))),
% 10.22/1.71 inference(destructive_equality_resolution,[status(esa)],[f524])).
% 10.22/1.71 fof(f927,plain,(
% 10.22/1.71 rline(vd1406)),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f132,f135])).
% 10.22/1.71 fof(f928,plain,(
% 10.22/1.71 rpoint(vd1401)),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f139,f140])).
% 10.22/1.71 fof(f929,plain,(
% 10.22/1.71 rpoint(vd1400)),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f141,f142])).
% 10.22/1.71 fof(f930,plain,(
% 10.22/1.71 rpoint(vd1399)),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f143,f144])).
% 10.22/1.71 fof(f931,plain,(
% 10.22/1.71 rreal(v0)),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f308,f309])).
% 10.22/1.71 fof(f936,plain,(
% 10.22/1.71 spl0_8 <=> vf(vd1399,vd1401)=vf(vd1399,vd1409)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f938,plain,(
% 10.22/1.71 ~vf(vd1399,vd1401)=vf(vd1399,vd1409)|spl0_8),
% 10.22/1.71 inference(component_clause,[status(thm)],[f936])).
% 10.22/1.71 fof(f939,plain,(
% 10.22/1.71 spl0_9 <=> vd1401=vd1409),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f940,plain,(
% 10.22/1.71 vd1401=vd1409|~spl0_9),
% 10.22/1.71 inference(component_clause,[status(thm)],[f939])).
% 10.22/1.71 fof(f942,plain,(
% 10.22/1.71 spl0_10 <=> vd1399=vd1409),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f943,plain,(
% 10.22/1.71 vd1399=vd1409|~spl0_10),
% 10.22/1.71 inference(component_clause,[status(thm)],[f942])).
% 10.22/1.71 fof(f945,plain,(
% 10.22/1.71 spl0_11 <=> vd1399=vd1401),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f946,plain,(
% 10.22/1.71 vd1399=vd1401|~spl0_11),
% 10.22/1.71 inference(component_clause,[status(thm)],[f945])).
% 10.22/1.71 fof(f948,plain,(
% 10.22/1.71 spl0_12 <=> rpoint(vd1409)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f950,plain,(
% 10.22/1.71 ~rpoint(vd1409)|spl0_12),
% 10.22/1.71 inference(component_clause,[status(thm)],[f948])).
% 10.22/1.71 fof(f951,plain,(
% 10.22/1.71 spl0_13 <=> rpoint(vd1401)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f953,plain,(
% 10.22/1.71 ~rpoint(vd1401)|spl0_13),
% 10.22/1.71 inference(component_clause,[status(thm)],[f951])).
% 10.22/1.71 fof(f954,plain,(
% 10.22/1.71 spl0_14 <=> rpoint(vd1399)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f956,plain,(
% 10.22/1.71 ~rpoint(vd1399)|spl0_14),
% 10.22/1.71 inference(component_clause,[status(thm)],[f954])).
% 10.22/1.71 fof(f957,plain,(
% 10.22/1.71 spl0_15 <=> ~rR(vd1409,vd1399,X0)|~rpoint(X0)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f958,plain,(
% 10.22/1.71 ![X0]: (~rR(vd1409,vd1399,X0)|~rpoint(X0)|~spl0_15)),
% 10.22/1.71 inference(component_clause,[status(thm)],[f957])).
% 10.22/1.71 fof(f960,plain,(
% 10.22/1.71 spl0_16 <=> ~rR(vd1401,vd1399,X1)|~rpoint(X1)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f961,plain,(
% 10.22/1.71 ![X0]: (~rR(vd1401,vd1399,X0)|~rpoint(X0)|~spl0_16)),
% 10.22/1.71 inference(component_clause,[status(thm)],[f960])).
% 10.22/1.71 fof(f963,plain,(
% 10.22/1.71 ![X0,X1]: (~vf(vd1399,vd1401)=vf(vd1399,vd1409)|vd1401=vd1409|vd1399=vd1409|vd1399=vd1401|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)|~rR(vd1409,vd1399,X0)|~rpoint(X0)|~rR(vd1401,vd1399,X1)|~rpoint(X1))),
% 10.22/1.71 inference(resolution,[status(thm)],[f695,f125])).
% 10.22/1.71 fof(f964,plain,(
% 10.22/1.71 ~spl0_8|spl0_9|spl0_10|spl0_11|~spl0_12|~spl0_13|~spl0_14|spl0_15|spl0_16),
% 10.22/1.71 inference(split_clause,[status(thm)],[f963,f936,f939,f942,f945,f948,f951,f954,f957,f960])).
% 10.22/1.71 fof(f967,plain,(
% 10.22/1.71 $false|spl0_14),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f956,f930])).
% 10.22/1.71 fof(f968,plain,(
% 10.22/1.71 spl0_14),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f967])).
% 10.22/1.71 fof(f969,plain,(
% 10.22/1.71 $false|spl0_13),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f953,f928])).
% 10.22/1.71 fof(f970,plain,(
% 10.22/1.71 spl0_13),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f969])).
% 10.22/1.71 fof(f971,plain,(
% 10.22/1.71 $false|spl0_12),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f950,f130])).
% 10.22/1.71 fof(f972,plain,(
% 10.22/1.71 spl0_12),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f971])).
% 10.22/1.71 fof(f973,plain,(
% 10.22/1.71 ~vf(vd1399,vd1401)=vf(vd1399,vd1401)|spl0_8),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f128,f938])).
% 10.22/1.71 fof(f974,plain,(
% 10.22/1.71 $false|spl0_8),
% 10.22/1.71 inference(trivial_equality_resolution,[status(esa)],[f973])).
% 10.22/1.71 fof(f975,plain,(
% 10.22/1.71 spl0_8),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f974])).
% 10.22/1.71 fof(f976,plain,(
% 10.22/1.71 spl0_17 <=> ron(vd1409,sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f977,plain,(
% 10.22/1.71 ron(vd1409,sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))|~spl0_17),
% 10.22/1.71 inference(component_clause,[status(thm)],[f976])).
% 10.22/1.71 fof(f979,plain,(
% 10.22/1.71 spl0_18 <=> vangle(vd1409,vd1399,vd1401)=vangle(vd1401,vd1399,vd1409)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f981,plain,(
% 10.22/1.71 ~vangle(vd1409,vd1399,vd1401)=vangle(vd1401,vd1399,vd1409)|spl0_18),
% 10.22/1.71 inference(component_clause,[status(thm)],[f979])).
% 10.22/1.71 fof(f982,plain,(
% 10.22/1.71 ron(vd1409,sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))|~vangle(vd1409,vd1399,vd1401)=vangle(vd1401,vd1399,vd1409)|~vf(vd1399,vd1401)=vf(vd1399,vd1409)|~vf(vd1399,vd1409)=vf(vd1399,vd1401)|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)|vd1409=vd1401|vd1399=vd1401|vd1399=vd1409|~rpoint(vd1401)|~rpoint(vd1409)|~rpoint(vd1399)),
% 10.22/1.71 inference(resolution,[status(thm)],[f696,f125])).
% 10.22/1.71 fof(f983,plain,(
% 10.22/1.71 spl0_17|~spl0_18|~spl0_8|~spl0_12|~spl0_13|~spl0_14|spl0_9|spl0_11|spl0_10),
% 10.22/1.71 inference(split_clause,[status(thm)],[f982,f976,f979,f936,f948,f951,f954,f939,f945,f942])).
% 10.22/1.71 fof(f984,plain,(
% 10.22/1.71 spl0_19 <=> ron(vd1401,sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f985,plain,(
% 10.22/1.71 ron(vd1401,sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))|~spl0_19),
% 10.22/1.71 inference(component_clause,[status(thm)],[f984])).
% 10.22/1.71 fof(f987,plain,(
% 10.22/1.71 ron(vd1401,sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))|~vangle(vd1401,vd1399,vd1409)=vangle(vd1409,vd1399,vd1401)|~vf(vd1399,vd1409)=vf(vd1399,vd1401)|~vf(vd1399,vd1401)=vf(vd1399,vd1409)|~rpoint(vd1401)|~rpoint(vd1409)|~rpoint(vd1399)|vd1401=vd1409|vd1399=vd1409|vd1399=vd1401|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)),
% 10.22/1.71 inference(resolution,[status(thm)],[f696,f125])).
% 10.22/1.71 fof(f988,plain,(
% 10.22/1.71 spl0_19|~spl0_18|~spl0_8|~spl0_13|~spl0_12|~spl0_14|spl0_9|spl0_10|spl0_11),
% 10.22/1.71 inference(split_clause,[status(thm)],[f987,f984,f979,f936,f951,f948,f954,f939,f942,f945])).
% 10.22/1.71 fof(f989,plain,(
% 10.22/1.71 $false|~spl0_11),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f946,f137])).
% 10.22/1.71 fof(f990,plain,(
% 10.22/1.71 ~spl0_11),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f989])).
% 10.22/1.71 fof(f993,plain,(
% 10.22/1.71 vf(vd1399,vd1401)=vf(vd1399,vd1399)|~spl0_10),
% 10.22/1.71 inference(backward_demodulation,[status(thm)],[f943,f128])).
% 10.22/1.71 fof(f1218,plain,(
% 10.22/1.71 spl0_50 <=> ~ron(vd1399,X2)|~ron(vd1401,X2)|~rline(X2)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1219,plain,(
% 10.22/1.71 ![X0]: (~ron(vd1399,X0)|~ron(vd1401,X0)|~rline(X0)|~spl0_50)),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1218])).
% 10.22/1.71 fof(f1226,plain,(
% 10.22/1.71 spl0_52 <=> ~ron(vd1399,X2)|~ron(vd1399,X2)|~rline(X2)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1227,plain,(
% 10.22/1.71 ![X0]: (~ron(vd1399,X0)|~ron(vd1399,X0)|~rline(X0)|~spl0_52)),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1226])).
% 10.22/1.71 fof(f1238,plain,(
% 10.22/1.71 ~vangle(vd1399,vd1401,vd1401)=vangle(vd1399,vd1409,vd1401)|~spl0_9),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f940,f125])).
% 10.22/1.71 fof(f1239,plain,(
% 10.22/1.71 ~vangle(vd1399,vd1401,vd1401)=vangle(vd1399,vd1401,vd1401)|~spl0_9),
% 10.22/1.71 inference(forward_demodulation,[status(thm)],[f940,f1238])).
% 10.22/1.71 fof(f1240,plain,(
% 10.22/1.71 $false|~spl0_9),
% 10.22/1.71 inference(trivial_equality_resolution,[status(esa)],[f1239])).
% 10.22/1.71 fof(f1241,plain,(
% 10.22/1.71 ~spl0_9),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f1240])).
% 10.22/1.71 fof(f1273,plain,(
% 10.22/1.71 spl0_58 <=> ron(vd1399,sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1276,plain,(
% 10.22/1.71 ron(vd1399,sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))|~vangle(vd1409,vd1399,vd1401)=vangle(vd1401,vd1399,vd1409)|~vf(vd1399,vd1401)=vf(vd1399,vd1409)|~vf(vd1399,vd1409)=vf(vd1399,vd1401)|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)|vd1409=vd1401|vd1399=vd1401|vd1399=vd1409|~rpoint(vd1401)|~rpoint(vd1409)|~rpoint(vd1399)),
% 10.22/1.71 inference(resolution,[status(thm)],[f698,f125])).
% 10.22/1.71 fof(f1277,plain,(
% 10.22/1.71 spl0_58|~spl0_18|~spl0_8|~spl0_12|~spl0_13|~spl0_14|spl0_9|spl0_11|spl0_10),
% 10.22/1.71 inference(split_clause,[status(thm)],[f1276,f1273,f979,f936,f948,f951,f954,f939,f945,f942])).
% 10.22/1.71 fof(f1280,plain,(
% 10.22/1.71 spl0_59 <=> ron(vd1399,sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1283,plain,(
% 10.22/1.71 ron(vd1399,sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))|~vangle(vd1401,vd1399,vd1409)=vangle(vd1409,vd1399,vd1401)|~vf(vd1399,vd1409)=vf(vd1399,vd1401)|~vf(vd1399,vd1401)=vf(vd1399,vd1409)|~rpoint(vd1401)|~rpoint(vd1409)|~rpoint(vd1399)|vd1401=vd1409|vd1399=vd1409|vd1399=vd1401|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)),
% 10.22/1.71 inference(resolution,[status(thm)],[f698,f125])).
% 10.22/1.71 fof(f1284,plain,(
% 10.22/1.71 spl0_59|~spl0_18|~spl0_8|~spl0_13|~spl0_12|~spl0_14|spl0_9|spl0_10|spl0_11),
% 10.22/1.71 inference(split_clause,[status(thm)],[f1283,f1280,f979,f936,f951,f948,f954,f939,f942,f945])).
% 10.22/1.71 fof(f1297,plain,(
% 10.22/1.71 spl0_62 <=> rline(sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1300,plain,(
% 10.22/1.71 rline(sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))|~vangle(vd1409,vd1399,vd1401)=vangle(vd1401,vd1399,vd1409)|~vf(vd1399,vd1401)=vf(vd1399,vd1409)|~vf(vd1399,vd1409)=vf(vd1399,vd1401)|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)|vd1409=vd1401|vd1399=vd1401|vd1399=vd1409|~rpoint(vd1401)|~rpoint(vd1409)|~rpoint(vd1399)),
% 10.22/1.71 inference(resolution,[status(thm)],[f699,f125])).
% 10.22/1.71 fof(f1301,plain,(
% 10.22/1.71 spl0_62|~spl0_18|~spl0_8|~spl0_12|~spl0_13|~spl0_14|spl0_9|spl0_11|spl0_10),
% 10.22/1.71 inference(split_clause,[status(thm)],[f1300,f1297,f979,f936,f948,f951,f954,f939,f945,f942])).
% 10.22/1.71 fof(f1307,plain,(
% 10.22/1.71 spl0_64 <=> rline(sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1310,plain,(
% 10.22/1.71 rline(sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))|~vangle(vd1401,vd1399,vd1409)=vangle(vd1409,vd1399,vd1401)|~vf(vd1399,vd1409)=vf(vd1399,vd1401)|~vf(vd1399,vd1401)=vf(vd1399,vd1409)|~rpoint(vd1401)|~rpoint(vd1409)|~rpoint(vd1399)|vd1401=vd1409|vd1399=vd1409|vd1399=vd1401|~rpoint(vd1409)|~rpoint(vd1401)|~rpoint(vd1399)),
% 10.22/1.71 inference(resolution,[status(thm)],[f699,f125])).
% 10.22/1.71 fof(f1311,plain,(
% 10.22/1.71 spl0_64|~spl0_18|~spl0_8|~spl0_13|~spl0_12|~spl0_14|spl0_9|spl0_10|spl0_11),
% 10.22/1.71 inference(split_clause,[status(thm)],[f1310,f1307,f979,f936,f951,f948,f954,f939,f942,f945])).
% 10.22/1.71 fof(f1399,plain,(
% 10.22/1.71 spl0_81 <=> vd1400=vd1401),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1400,plain,(
% 10.22/1.71 vd1400=vd1401|~spl0_81),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1399])).
% 10.22/1.71 fof(f1402,plain,(
% 10.22/1.71 spl0_82 <=> vd1400=vd1399),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1403,plain,(
% 10.22/1.71 vd1400=vd1399|~spl0_82),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1402])).
% 10.22/1.71 fof(f1405,plain,(
% 10.22/1.71 spl0_83 <=> rpoint(vd1400)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1407,plain,(
% 10.22/1.71 ~rpoint(vd1400)|spl0_83),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1405])).
% 10.22/1.71 fof(f1416,plain,(
% 10.22/1.71 spl0_86 <=> vf(vd1399,vd1399)=vf(vd1399,vd1399)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1418,plain,(
% 10.22/1.71 ~vf(vd1399,vd1399)=vf(vd1399,vd1399)|spl0_86),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1416])).
% 10.22/1.71 fof(f1421,plain,(
% 10.22/1.71 spl0_87 <=> vf(vd1400,vd1399)=vf(vd1400,vd1399)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1423,plain,(
% 10.22/1.71 ~vf(vd1400,vd1399)=vf(vd1400,vd1399)|spl0_87),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1421])).
% 10.22/1.71 fof(f1426,plain,(
% 10.22/1.71 $false|spl0_87),
% 10.22/1.71 inference(trivial_equality_resolution,[status(esa)],[f1423])).
% 10.22/1.71 fof(f1427,plain,(
% 10.22/1.71 spl0_87),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f1426])).
% 10.22/1.71 fof(f1428,plain,(
% 10.22/1.71 $false|spl0_86),
% 10.22/1.71 inference(trivial_equality_resolution,[status(esa)],[f1418])).
% 10.22/1.71 fof(f1429,plain,(
% 10.22/1.71 spl0_86),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f1428])).
% 10.22/1.71 fof(f1465,plain,(
% 10.22/1.71 spl0_93 <=> vf(vd1401,vd1399)=vf(vd1401,vd1399)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f1467,plain,(
% 10.22/1.71 ~vf(vd1401,vd1399)=vf(vd1401,vd1399)|spl0_93),
% 10.22/1.71 inference(component_clause,[status(thm)],[f1465])).
% 10.22/1.71 fof(f1509,plain,(
% 10.22/1.71 $false|spl0_93),
% 10.22/1.71 inference(trivial_equality_resolution,[status(esa)],[f1467])).
% 10.22/1.71 fof(f1510,plain,(
% 10.22/1.71 spl0_93),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f1509])).
% 10.22/1.71 fof(f1883,plain,(
% 10.22/1.71 vd1401=vd1409|vd1401=vd1399|~rpoint(vd1409)|~rpoint(vd1399)|~rpoint(vd1401)|spl0_18),
% 10.22/1.71 inference(resolution,[status(thm)],[f981,f720])).
% 10.22/1.71 fof(f1884,plain,(
% 10.22/1.71 spl0_9|spl0_11|~spl0_12|~spl0_14|~spl0_13|spl0_18),
% 10.22/1.71 inference(split_clause,[status(thm)],[f1883,f939,f945,f948,f954,f951,f979])).
% 10.22/1.71 fof(f1885,plain,(
% 10.22/1.71 $false|spl0_83),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f1407,f929])).
% 10.22/1.71 fof(f1886,plain,(
% 10.22/1.71 spl0_83),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f1885])).
% 10.22/1.71 fof(f2077,plain,(
% 10.22/1.71 $false|~spl0_82),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f1403,f138])).
% 10.22/1.71 fof(f2078,plain,(
% 10.22/1.71 ~spl0_82),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f2077])).
% 10.22/1.71 fof(f2079,plain,(
% 10.22/1.71 $false|~spl0_81),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f1400,f136])).
% 10.22/1.71 fof(f2080,plain,(
% 10.22/1.71 ~spl0_81),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f2079])).
% 10.22/1.71 fof(f2132,plain,(
% 10.22/1.71 ![X0]: (~ron(vd1399,X0)|~rline(X0)|~spl0_52)),
% 10.22/1.71 inference(duplicate_literals_removal,[status(esa)],[f1227])).
% 10.22/1.71 fof(f2246,plain,(
% 10.22/1.71 ~rline(vd1406)|~spl0_52),
% 10.22/1.71 inference(resolution,[status(thm)],[f2132,f134])).
% 10.22/1.71 fof(f2247,plain,(
% 10.22/1.71 $false|~spl0_52),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f2246,f927])).
% 10.22/1.71 fof(f2248,plain,(
% 10.22/1.71 ~spl0_52),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f2247])).
% 10.22/1.71 fof(f2356,plain,(
% 10.22/1.71 ~ron(vd1399,sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))|~rline(sk0_3(vd1401,vd1409,vd1399,vd1409,vd1401,vd1399))|~spl0_19|~spl0_50),
% 10.22/1.71 inference(resolution,[status(thm)],[f985,f1219])).
% 10.22/1.71 fof(f2357,plain,(
% 10.22/1.71 ~spl0_59|~spl0_64|~spl0_19|~spl0_50),
% 10.22/1.71 inference(split_clause,[status(thm)],[f2356,f1280,f1307,f984,f1218])).
% 10.22/1.71 fof(f2466,plain,(
% 10.22/1.71 spl0_217 <=> ~ron(vd1409,X0)|~ron(vd1399,X0)|~rline(X0)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f2467,plain,(
% 10.22/1.71 ![X0]: (~ron(vd1409,X0)|~ron(vd1399,X0)|~rline(X0)|~spl0_217)),
% 10.22/1.71 inference(component_clause,[status(thm)],[f2466])).
% 10.22/1.71 fof(f2492,plain,(
% 10.22/1.71 ~ron(vd1399,sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))|~rline(sk0_3(vd1409,vd1401,vd1399,vd1401,vd1409,vd1399))|~spl0_217|~spl0_17),
% 10.22/1.71 inference(resolution,[status(thm)],[f2467,f977])).
% 10.22/1.71 fof(f2493,plain,(
% 10.22/1.71 ~spl0_58|~spl0_62|~spl0_217|~spl0_17),
% 10.22/1.71 inference(split_clause,[status(thm)],[f2492,f1273,f1297,f2466,f976])).
% 10.22/1.71 fof(f2643,plain,(
% 10.22/1.71 spl0_234 <=> vf(vd1399,vd1399)=v0),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f2645,plain,(
% 10.22/1.71 ~vf(vd1399,vd1399)=v0|spl0_234),
% 10.22/1.71 inference(component_clause,[status(thm)],[f2643])).
% 10.22/1.71 fof(f2646,plain,(
% 10.22/1.71 ~rpoint(vd1401)|~rpoint(vd1399)|~vf(vd1399,vd1399)=v0|vd1399=vd1401|~spl0_10),
% 10.22/1.71 inference(paramodulation,[status(thm)],[f993,f722])).
% 10.22/1.71 fof(f2647,plain,(
% 10.22/1.71 ~spl0_13|~spl0_14|~spl0_234|spl0_11|~spl0_10),
% 10.22/1.71 inference(split_clause,[status(thm)],[f2646,f951,f954,f2643,f945,f942])).
% 10.22/1.71 fof(f2678,plain,(
% 10.22/1.71 spl0_235 <=> rline(vd1406)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f2680,plain,(
% 10.22/1.71 ~rline(vd1406)|spl0_235),
% 10.22/1.71 inference(component_clause,[status(thm)],[f2678])).
% 10.22/1.71 fof(f2691,plain,(
% 10.22/1.71 $false|spl0_235),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f2680,f927])).
% 10.22/1.71 fof(f2692,plain,(
% 10.22/1.71 spl0_235),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f2691])).
% 10.22/1.71 fof(f2762,plain,(
% 10.22/1.71 spl0_241 <=> rreal(v0)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f2764,plain,(
% 10.22/1.71 ~rreal(v0)|spl0_241),
% 10.22/1.71 inference(component_clause,[status(thm)],[f2762])).
% 10.22/1.71 fof(f2772,plain,(
% 10.22/1.71 spl0_243 <=> ~rreal(X0)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f2773,plain,(
% 10.22/1.71 ![X0]: (~rreal(X0)|~spl0_243)),
% 10.22/1.71 inference(component_clause,[status(thm)],[f2772])).
% 10.22/1.71 fof(f2780,plain,(
% 10.22/1.71 $false|spl0_241),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f2764,f931])).
% 10.22/1.71 fof(f2781,plain,(
% 10.22/1.71 spl0_241),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f2780])).
% 10.22/1.71 fof(f2967,plain,(
% 10.22/1.71 $false|~spl0_243),
% 10.22/1.71 inference(backward_subsumption_resolution,[status(thm)],[f931,f2773])).
% 10.22/1.71 fof(f2968,plain,(
% 10.22/1.71 ~spl0_243),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f2967])).
% 10.22/1.71 fof(f3817,plain,(
% 10.22/1.71 ~rpoint(vd1399)|spl0_234),
% 10.22/1.71 inference(resolution,[status(thm)],[f2645,f724])).
% 10.22/1.71 fof(f3818,plain,(
% 10.22/1.71 ~spl0_14|spl0_234),
% 10.22/1.71 inference(split_clause,[status(thm)],[f3817,f954,f2643])).
% 10.22/1.71 fof(f4206,plain,(
% 10.22/1.71 spl0_433 <=> ron(vd1400,vd1406)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f4208,plain,(
% 10.22/1.71 ~ron(vd1400,vd1406)|spl0_433),
% 10.22/1.71 inference(component_clause,[status(thm)],[f4206])).
% 10.22/1.71 fof(f4253,plain,(
% 10.22/1.71 spl0_441 <=> ron(vd1399,vd1406)),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f4255,plain,(
% 10.22/1.71 ~ron(vd1399,vd1406)|spl0_441),
% 10.22/1.71 inference(component_clause,[status(thm)],[f4253])).
% 10.22/1.71 fof(f4509,plain,(
% 10.22/1.71 $false|spl0_441),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f4255,f134])).
% 10.22/1.71 fof(f4510,plain,(
% 10.22/1.71 spl0_441),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f4509])).
% 10.22/1.71 fof(f4511,plain,(
% 10.22/1.71 $false|spl0_433),
% 10.22/1.71 inference(forward_subsumption_resolution,[status(thm)],[f4208,f133])).
% 10.22/1.71 fof(f4512,plain,(
% 10.22/1.71 spl0_433),
% 10.22/1.71 inference(contradiction_clause,[status(thm)],[f4511])).
% 10.22/1.71 fof(f4513,plain,(
% 10.22/1.71 spl0_457 <=> rpoint(sk0_38(vd1409,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f4515,plain,(
% 10.22/1.71 ~rpoint(sk0_38(vd1409,vd1399))|spl0_457),
% 10.22/1.71 inference(component_clause,[status(thm)],[f4513])).
% 10.22/1.71 fof(f4521,plain,(
% 10.22/1.71 spl0_459 <=> rpoint(sk0_38(vd1401,vd1399))),
% 10.22/1.71 introduced(split_symbol_definition)).
% 10.22/1.71 fof(f4523,plain,(
% 10.22/1.71 ~rpoint(sk0_38(vd1401,vd1399))|spl0_459),
% 10.22/1.71 inference(component_clause,[status(thm)],[f4521])).
% 10.22/1.71 fof(f4524,plain,(
% 10.22/1.71 ![X0]: (vd1399=vd1401|~ron(vd1401,X0)|~ron(vd1399,X0)|~rpoint(vd1401)|~rpoint(vd1399)|~rline(X0)|~rpoint(sk0_38(vd1401,vd1399))|~spl0_16)),
% 10.22/1.71 inference(resolution,[status(thm)],[f861,f961])).
% 10.22/1.71 fof(f4525,plain,(
% 10.22/1.71 spl0_11|spl0_50|~spl0_13|~spl0_14|~spl0_459|~spl0_16),
% 10.22/1.71 inference(split_clause,[status(thm)],[f4524,f945,f1218,f951,f954,f4521,f960])).
% 10.22/1.71 fof(f4727,plain,(
% 10.22/1.71 ![X0]: (vd1399=vd1409|~ron(vd1409,X0)|~ron(vd1399,X0)|~rpoint(vd1409)|~rpoint(vd1399)|~rline(X0)|spl0_457)),
% 10.22/1.71 inference(resolution,[status(thm)],[f4515,f862])).
% 10.22/1.71 fof(f4728,plain,(
% 10.22/1.71 spl0_10|spl0_217|~spl0_12|~spl0_14|spl0_457),
% 10.22/1.71 inference(split_clause,[status(thm)],[f4727,f942,f2466,f948,f954,f4513])).
% 10.22/1.71 fof(f4729,plain,(
% 10.22/1.71 ![X0]: (vd1399=vd1401|~ron(vd1401,X0)|~ron(vd1399,X0)|~rpoint(vd1401)|~rpoint(vd1399)|~rline(X0)|spl0_459)),
% 10.22/1.71 inference(resolution,[status(thm)],[f4523,f862])).
% 10.22/1.71 fof(f4730,plain,(
% 10.22/1.71 spl0_11|spl0_50|~spl0_13|~spl0_14|spl0_459),
% 10.22/1.73 inference(split_clause,[status(thm)],[f4729,f945,f1218,f951,f954,f4521])).
% 10.22/1.73 fof(f4738,plain,(
% 10.22/1.73 ![X0]: (~rpoint(sk0_38(vd1409,vd1399))|vd1399=vd1409|~ron(vd1409,X0)|~ron(vd1399,X0)|~rpoint(vd1409)|~rpoint(vd1399)|~rline(X0)|~spl0_15)),
% 10.22/1.73 inference(resolution,[status(thm)],[f958,f861])).
% 10.22/1.73 fof(f4739,plain,(
% 10.22/1.73 ~spl0_457|spl0_10|spl0_217|~spl0_12|~spl0_14|~spl0_15),
% 10.22/1.73 inference(split_clause,[status(thm)],[f4738,f4513,f942,f2466,f948,f954,f957])).
% 10.22/1.73 fof(f4745,plain,(
% 10.22/1.73 $false),
% 10.22/1.73 inference(sat_refutation,[status(thm)],[f964,f968,f970,f972,f975,f983,f988,f990,f1241,f1277,f1284,f1301,f1311,f1427,f1429,f1510,f1884,f1886,f2078,f2080,f2248,f2357,f2493,f2647,f2692,f2781,f2968,f3818,f4510,f4512,f4525,f4728,f4730,f4739])).
% 10.22/1.73 % SZS output end CNFRefutation for theBenchmark.p
% 10.22/1.73 % Elapsed time: 1.394131 seconds
% 10.22/1.73 % CPU time: 10.737503 seconds
% 10.22/1.73 % Memory used: 112.773 MB
%------------------------------------------------------------------------------