TSTP Solution File: GEO296+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO296+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:17:54 EDT 2024
% Result : Theorem 88.62s 11.55s
% Output : CNFRefutation 88.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO296+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 : n009.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 01:29:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 88.62/11.55 % Refutation found
% 88.62/11.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 88.62/11.55 % SZS output start CNFRefutation for theBenchmark
% 88.62/11.55 fof(f1,conjecture,(
% 88.62/11.55 vangle(vd1187,vd1185,vd1201) = v0 ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f2,negated_conjecture,(
% 88.62/11.55 ~(vangle(vd1187,vd1185,vd1201) = v0 )),
% 88.62/11.55 inference(negated_conjecture,[status(cth)],[f1])).
% 88.62/11.55 fof(f6,axiom,(
% 88.62/11.55 vd1199 = vd1185 ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f14,axiom,(
% 88.62/11.55 ( ~ (? [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) ) )) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f18,axiom,(
% 88.62/11.55 ron(vd1199,vd1197) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f24,axiom,(
% 88.62/11.55 (? [Vd1205] :( vd1201 = Vd1205& rpoint(Vd1205) ) )),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f31,axiom,(
% 88.62/11.55 ron(vd1201,vd1234) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f32,axiom,(
% 88.62/11.55 ron(vd1185,vd1234) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f33,axiom,(
% 88.62/11.55 rline(vd1234) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f34,axiom,(
% 88.62/11.55 ron(vd1187,vd1232) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f35,axiom,(
% 88.62/11.55 ron(vd1185,vd1232) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f36,axiom,(
% 88.62/11.55 rline(vd1232) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f43,axiom,(
% 88.62/11.55 ~ ron(vd1201,vd1232) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f44,axiom,(
% 88.62/11.55 ~ ron(vd1187,vd1197) ),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f53,axiom,(
% 88.62/11.55 (! [Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869] :( ( ron(Vd864,Vd868)& ron(Vd862,Vd868)& Vd862 != Vd866& Vd862 != Vd864& Vd868 = Vd869& rline(Vd869)& Vd866 = Vd867& rpoint(Vd867)& Vd864 = Vd865& rpoint(Vd865)& Vd862 = Vd863& rpoint(Vd863) )=> ( ( ~ rR(Vd862,Vd864,Vd866)& ron(Vd866,Vd868) )<=> vangle(Vd864,Vd862,Vd866) = v0 ) ) )),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f69,axiom,(
% 88.62/11.55 (! [Vd340,Vd341,Vd342] :( ( rR(Vd341,Vd340,Vd342)& (? [Vd346] :( Vd342 = Vd346& rpoint(Vd346) ))& (? [Vd345] :( Vd341 = Vd345& rpoint(Vd345) ))& (? [Vd344] :( Vd340 = Vd344& rpoint(Vd344) ) ))=> ( ~ rR(Vd340,Vd341,Vd342)& Vd340 != Vd342& Vd340 != Vd341& rR(Vd341,Vd342,Vd340) ) ) )),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f142,axiom,(
% 88.62/11.55 (! [Vd908,Vd909,Vd910,Vd911,Vd912,Vd919,Vd920] :( ( ~ rR(Vd908,Vd910,Vd912)& ~ rR(Vd908,Vd909,Vd911)& Vd912 != Vd908& Vd911 != Vd908& Vd910 != Vd908& Vd909 != Vd908& ron(Vd912,Vd920)& ron(Vd910,Vd920)& ron(Vd911,Vd919)& ron(Vd909,Vd919)& ron(Vd908,Vd919)& (? [Vd923] :( Vd920 = Vd923& rline(Vd923) ))& (? [Vd922] :( Vd919 = Vd922& rline(Vd922) ))& (? [Vd918] :( Vd912 = Vd918& rpoint(Vd918) ))& (? [Vd917] :( Vd911 = Vd917& rpoint(Vd917) ))& (? [Vd916] :( Vd910 = Vd916& rpoint(Vd916) ))& (? [Vd915] :( Vd909 = Vd915& rpoint(Vd915) ))& (? [Vd914] :( Vd908 = Vd914& rpoint(Vd914) ) ))=> vangle(Vd909,Vd908,Vd910) = vangle(Vd911,Vd908,Vd912) ) )),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f155,axiom,(
% 88.62/11.55 (! [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) ) )),
% 88.62/11.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.62/11.55 fof(f156,plain,(
% 88.62/11.55 ~vangle(vd1187,vd1185,vd1201)=v0),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f2])).
% 88.62/11.55 fof(f160,plain,(
% 88.62/11.55 vd1199=vd1185),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f6])).
% 88.62/11.55 fof(f172,plain,(
% 88.62/11.55 ((((((((((((![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)))),
% 88.62/11.55 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 88.62/11.55 fof(f173,plain,(
% 88.62/11.55 ((((((((((((![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))&(vd1187=sk0_0&rpoint(sk0_0)))&(vd1186=sk0_1&rpoint(sk0_1)))&(vd1185=sk0_2&rpoint(sk0_2)))&~vd1179=vd1180)&~vd1178=vd1180)&~vd1178=vd1179)&(vd1180=sk0_3&rpoint(sk0_3)))&(vd1179=sk0_4&rpoint(sk0_4)))&(vd1178=sk0_5&rpoint(sk0_5))),
% 88.62/11.55 inference(skolemization,[status(esa)],[f172])).
% 88.62/11.55 fof(f178,plain,(
% 88.62/11.55 vd1187=sk0_0),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f173])).
% 88.62/11.55 fof(f179,plain,(
% 88.62/11.55 rpoint(sk0_0)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f173])).
% 88.62/11.55 fof(f182,plain,(
% 88.62/11.55 vd1185=sk0_2),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f173])).
% 88.62/11.55 fof(f183,plain,(
% 88.62/11.55 rpoint(sk0_2)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f173])).
% 88.62/11.55 fof(f196,plain,(
% 88.62/11.55 ron(vd1199,vd1197)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f18])).
% 88.62/11.55 fof(f202,plain,(
% 88.62/11.55 (vd1201=sk0_6&rpoint(sk0_6))),
% 88.62/11.55 inference(skolemization,[status(esa)],[f24])).
% 88.62/11.55 fof(f203,plain,(
% 88.62/11.55 vd1201=sk0_6),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f202])).
% 88.62/11.55 fof(f204,plain,(
% 88.62/11.55 rpoint(sk0_6)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f202])).
% 88.62/11.55 fof(f215,plain,(
% 88.62/11.55 ron(vd1201,vd1234)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f31])).
% 88.62/11.55 fof(f216,plain,(
% 88.62/11.55 ron(vd1185,vd1234)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f32])).
% 88.62/11.55 fof(f217,plain,(
% 88.62/11.55 rline(vd1234)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f33])).
% 88.62/11.55 fof(f218,plain,(
% 88.62/11.55 ron(vd1187,vd1232)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f34])).
% 88.62/11.55 fof(f219,plain,(
% 88.62/11.55 ron(vd1185,vd1232)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f35])).
% 88.62/11.55 fof(f220,plain,(
% 88.62/11.55 rline(vd1232)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f36])).
% 88.62/11.55 fof(f231,plain,(
% 88.62/11.55 ~ron(vd1201,vd1232)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f43])).
% 88.62/11.55 fof(f232,plain,(
% 88.62/11.55 ~ron(vd1187,vd1197)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f44])).
% 88.62/11.55 fof(f251,plain,(
% 88.62/11.55 ![Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869]: ((((((((((((~ron(Vd864,Vd868)|~ron(Vd862,Vd868))|Vd862=Vd866)|Vd862=Vd864)|~Vd868=Vd869)|~rline(Vd869))|~Vd866=Vd867)|~rpoint(Vd867))|~Vd864=Vd865)|~rpoint(Vd865))|~Vd862=Vd863)|~rpoint(Vd863))|((~rR(Vd862,Vd864,Vd866)&ron(Vd866,Vd868))<=>vangle(Vd864,Vd862,Vd866)=v0))),
% 88.62/11.55 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 88.62/11.55 fof(f252,plain,(
% 88.62/11.55 ![Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869]: ((((((((((((~ron(Vd864,Vd868)|~ron(Vd862,Vd868))|Vd862=Vd866)|Vd862=Vd864)|~Vd868=Vd869)|~rline(Vd869))|~Vd866=Vd867)|~rpoint(Vd867))|~Vd864=Vd865)|~rpoint(Vd865))|~Vd862=Vd863)|~rpoint(Vd863))|(((rR(Vd862,Vd864,Vd866)|~ron(Vd866,Vd868))|vangle(Vd864,Vd862,Vd866)=v0)&((~rR(Vd862,Vd864,Vd866)&ron(Vd866,Vd868))|~vangle(Vd864,Vd862,Vd866)=v0)))),
% 88.62/11.55 inference(NNF_transformation,[status(esa)],[f251])).
% 88.62/11.55 fof(f253,plain,(
% 88.62/11.55 ![Vd862,Vd864,Vd866,Vd868]: ((![Vd863]: (((![Vd865]: (((![Vd867]: (((![Vd869]: (((((~ron(Vd864,Vd868)|~ron(Vd862,Vd868))|Vd862=Vd866)|Vd862=Vd864)|~Vd868=Vd869)|~rline(Vd869)))|~Vd866=Vd867)|~rpoint(Vd867)))|~Vd864=Vd865)|~rpoint(Vd865)))|~Vd862=Vd863)|~rpoint(Vd863)))|(((rR(Vd862,Vd864,Vd866)|~ron(Vd866,Vd868))|vangle(Vd864,Vd862,Vd866)=v0)&((~rR(Vd862,Vd864,Vd866)&ron(Vd866,Vd868))|~vangle(Vd864,Vd862,Vd866)=v0)))),
% 88.62/11.55 inference(miniscoping,[status(esa)],[f252])).
% 88.62/11.55 fof(f254,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|~ron(X2,X1)|X2=X3|X2=X0|~X1=X4|~rline(X4)|~X3=X5|~rpoint(X5)|~X0=X6|~rpoint(X6)|~X2=X7|~rpoint(X7)|rR(X2,X0,X3)|~ron(X3,X1)|vangle(X0,X2,X3)=v0)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f253])).
% 88.62/11.55 fof(f256,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|~ron(X2,X1)|X2=X3|X2=X0|~X1=X4|~rline(X4)|~X3=X5|~rpoint(X5)|~X0=X6|~rpoint(X6)|~X2=X7|~rpoint(X7)|ron(X3,X1)|~vangle(X0,X2,X3)=v0)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f253])).
% 88.62/11.55 fof(f303,plain,(
% 88.62/11.55 ![Vd340,Vd341,Vd342]: ((((~rR(Vd341,Vd340,Vd342)|(![Vd346]: (~Vd342=Vd346|~rpoint(Vd346))))|(![Vd345]: (~Vd341=Vd345|~rpoint(Vd345))))|(![Vd344]: (~Vd340=Vd344|~rpoint(Vd344))))|(((~rR(Vd340,Vd341,Vd342)&~Vd340=Vd342)&~Vd340=Vd341)&rR(Vd341,Vd342,Vd340)))),
% 88.62/11.55 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 88.62/11.55 fof(f304,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5]: (~rR(X0,X1,X2)|~X2=X3|~rpoint(X3)|~X0=X4|~rpoint(X4)|~X1=X5|~rpoint(X5)|~rR(X1,X0,X2))),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f303])).
% 88.62/11.55 fof(f305,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5]: (~rR(X0,X1,X2)|~X2=X3|~rpoint(X3)|~X0=X4|~rpoint(X4)|~X1=X5|~rpoint(X5)|~X1=X2)),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f303])).
% 88.62/11.55 fof(f307,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5]: (~rR(X0,X1,X2)|~X2=X3|~rpoint(X3)|~X0=X4|~rpoint(X4)|~X1=X5|~rpoint(X5)|rR(X0,X2,X1))),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f303])).
% 88.62/11.55 fof(f652,plain,(
% 88.62/11.55 ![Vd908,Vd909,Vd910,Vd911,Vd912,Vd919,Vd920]: ((((((((((((((((((rR(Vd908,Vd910,Vd912)|rR(Vd908,Vd909,Vd911))|Vd912=Vd908)|Vd911=Vd908)|Vd910=Vd908)|Vd909=Vd908)|~ron(Vd912,Vd920))|~ron(Vd910,Vd920))|~ron(Vd911,Vd919))|~ron(Vd909,Vd919))|~ron(Vd908,Vd919))|(![Vd923]: (~Vd920=Vd923|~rline(Vd923))))|(![Vd922]: (~Vd919=Vd922|~rline(Vd922))))|(![Vd918]: (~Vd912=Vd918|~rpoint(Vd918))))|(![Vd917]: (~Vd911=Vd917|~rpoint(Vd917))))|(![Vd916]: (~Vd910=Vd916|~rpoint(Vd916))))|(![Vd915]: (~Vd909=Vd915|~rpoint(Vd915))))|(![Vd914]: (~Vd908=Vd914|~rpoint(Vd914))))|vangle(Vd909,Vd908,Vd910)=vangle(Vd911,Vd908,Vd912))),
% 88.62/11.55 inference(pre_NNF_transformation,[status(esa)],[f142])).
% 88.62/11.55 fof(f653,plain,(
% 88.62/11.55 ![Vd908,Vd909,Vd910,Vd911,Vd912]: (((((((![Vd919]: ((![Vd920]: (((((((((((rR(Vd908,Vd910,Vd912)|rR(Vd908,Vd909,Vd911))|Vd912=Vd908)|Vd911=Vd908)|Vd910=Vd908)|Vd909=Vd908)|~ron(Vd912,Vd920))|~ron(Vd910,Vd920))|~ron(Vd911,Vd919))|~ron(Vd909,Vd919))|~ron(Vd908,Vd919))|(![Vd923]: (~Vd920=Vd923|~rline(Vd923)))))|(![Vd922]: (~Vd919=Vd922|~rline(Vd922)))))|(![Vd918]: (~Vd912=Vd918|~rpoint(Vd918))))|(![Vd917]: (~Vd911=Vd917|~rpoint(Vd917))))|(![Vd916]: (~Vd910=Vd916|~rpoint(Vd916))))|(![Vd915]: (~Vd909=Vd915|~rpoint(Vd915))))|(![Vd914]: (~Vd908=Vd914|~rpoint(Vd914))))|vangle(Vd909,Vd908,Vd910)=vangle(Vd911,Vd908,Vd912))),
% 88.62/11.55 inference(miniscoping,[status(esa)],[f652])).
% 88.62/11.55 fof(f654,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13]: (rR(X0,X1,X2)|rR(X0,X3,X4)|X2=X0|X4=X0|X1=X0|X3=X0|~ron(X2,X5)|~ron(X1,X5)|~ron(X4,X6)|~ron(X3,X6)|~ron(X0,X6)|~X5=X7|~rline(X7)|~X6=X8|~rline(X8)|~X2=X9|~rpoint(X9)|~X4=X10|~rpoint(X10)|~X1=X11|~rpoint(X11)|~X3=X12|~rpoint(X12)|~X0=X13|~rpoint(X13)|vangle(X3,X0,X1)=vangle(X4,X0,X2))),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f653])).
% 88.62/11.55 fof(f696,plain,(
% 88.62/11.55 ![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))),
% 88.62/11.55 inference(pre_NNF_transformation,[status(esa)],[f155])).
% 88.62/11.55 fof(f697,plain,(
% 88.62/11.55 ![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))),
% 88.62/11.55 inference(cnf_transformation,[status(esa)],[f696])).
% 88.62/11.55 fof(f772,plain,(
% 88.62/11.55 rpoint(vd1187)),
% 88.62/11.55 inference(forward_demodulation,[status(thm)],[f178,f179])).
% 88.62/11.55 fof(f775,plain,(
% 88.62/11.55 rpoint(vd1185)),
% 88.62/11.55 inference(forward_demodulation,[status(thm)],[f182,f183])).
% 88.62/11.55 fof(f784,plain,(
% 88.62/11.55 ron(vd1185,vd1197)),
% 88.62/11.55 inference(forward_demodulation,[status(thm)],[f160,f196])).
% 88.62/11.55 fof(f790,plain,(
% 88.62/11.55 rpoint(vd1201)),
% 88.62/11.55 inference(forward_demodulation,[status(thm)],[f203,f204])).
% 88.62/11.55 fof(f810,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X2,X1)|X2=X3|X2=X0|~rline(X1)|~rpoint(X3)|~rpoint(X0)|~rpoint(X2)|rR(X2,X0,X3)|~ron(X3,X1)|vangle(X0,X2,X3)=v0)),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f254])).
% 88.62/11.55 fof(f812,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X2,X1)|X2=X3|X2=X0|~rline(X1)|~rpoint(X3)|~rpoint(X0)|~rpoint(X2)|ron(X3,X1)|~vangle(X0,X2,X3)=v0)),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f256])).
% 88.62/11.55 fof(f834,plain,(
% 88.62/11.55 ![X0,X1,X2]: (~rR(X0,X1,X2)|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|~rR(X1,X0,X2))),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f304])).
% 88.62/11.55 fof(f835,plain,(
% 88.62/11.55 ![X4,X3]: (~rR(X4,X3,X3)|~rpoint(X3)|~rpoint(X4)|~rpoint(X3))),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f305])).
% 88.62/11.55 fof(f836,plain,(
% 88.62/11.55 ![X0,X1]: (~rR(X0,X1,X1)|~rpoint(X1)|~rpoint(X0))),
% 88.62/11.55 inference(duplicate_literals_removal,[status(esa)],[f835])).
% 88.62/11.55 fof(f839,plain,(
% 88.62/11.55 ![X0,X1,X2]: (~rR(X0,X1,X2)|~rpoint(X2)|~rpoint(X0)|~rpoint(X1)|rR(X0,X2,X1))),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f307])).
% 88.62/11.55 fof(f1001,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5,X6]: (rR(X0,X1,X2)|rR(X0,X3,X4)|X2=X0|X4=X0|X1=X0|X3=X0|~ron(X2,X5)|~ron(X1,X5)|~ron(X4,X6)|~ron(X3,X6)|~ron(X0,X6)|~rline(X5)|~rline(X6)|~rpoint(X2)|~rpoint(X4)|~rpoint(X1)|~rpoint(X3)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(X4,X0,X2))),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f654])).
% 88.62/11.55 fof(f1021,plain,(
% 88.62/11.55 ![X0,X1,X2]: (X0=X1|X0=X2|~rpoint(X1)|~rpoint(X2)|~rpoint(X0)|vangle(X0,X2,X1)=vangle(X1,X2,X0))),
% 88.62/11.55 inference(destructive_equality_resolution,[status(esa)],[f697])).
% 88.62/11.55 fof(f1131,plain,(
% 88.62/11.55 spl0_15 <=> rpoint(vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1133,plain,(
% 88.62/11.55 ~rpoint(vd1185)|spl0_15),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1131])).
% 88.62/11.55 fof(f1136,plain,(
% 88.62/11.55 $false|spl0_15),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f1133,f775])).
% 88.62/11.55 fof(f1137,plain,(
% 88.62/11.55 spl0_15),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f1136])).
% 88.62/11.55 fof(f1143,plain,(
% 88.62/11.55 spl0_17 <=> rline(vd1234)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1145,plain,(
% 88.62/11.55 ~rline(vd1234)|spl0_17),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1143])).
% 88.62/11.55 fof(f1146,plain,(
% 88.62/11.55 spl0_18 <=> rpoint(vd1201)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1148,plain,(
% 88.62/11.55 ~rpoint(vd1201)|spl0_18),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1146])).
% 88.62/11.55 fof(f1151,plain,(
% 88.62/11.55 $false|spl0_18),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f1148,f790])).
% 88.62/11.55 fof(f1152,plain,(
% 88.62/11.55 spl0_18),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f1151])).
% 88.62/11.55 fof(f1153,plain,(
% 88.62/11.55 $false|spl0_17),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f1145,f217])).
% 88.62/11.55 fof(f1154,plain,(
% 88.62/11.55 spl0_17),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f1153])).
% 88.62/11.55 fof(f1155,plain,(
% 88.62/11.55 spl0_19 <=> ron(vd1187,vd1234)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1156,plain,(
% 88.62/11.55 ron(vd1187,vd1234)|~spl0_19),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1155])).
% 88.62/11.55 fof(f1171,plain,(
% 88.62/11.55 spl0_23 <=> rline(vd1232)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1173,plain,(
% 88.62/11.55 ~rline(vd1232)|spl0_23),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1171])).
% 88.62/11.55 fof(f1174,plain,(
% 88.62/11.55 spl0_24 <=> rpoint(vd1187)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1176,plain,(
% 88.62/11.55 ~rpoint(vd1187)|spl0_24),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1174])).
% 88.62/11.55 fof(f1179,plain,(
% 88.62/11.55 $false|spl0_24),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f1176,f772])).
% 88.62/11.55 fof(f1180,plain,(
% 88.62/11.55 spl0_24),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f1179])).
% 88.62/11.55 fof(f1181,plain,(
% 88.62/11.55 $false|spl0_23),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f1173,f220])).
% 88.62/11.55 fof(f1182,plain,(
% 88.62/11.55 spl0_23),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f1181])).
% 88.62/11.55 fof(f1183,plain,(
% 88.62/11.55 spl0_25 <=> ron(vd1187,vd1232)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1185,plain,(
% 88.62/11.55 ~ron(vd1187,vd1232)|spl0_25),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1183])).
% 88.62/11.55 fof(f1196,plain,(
% 88.62/11.55 $false|spl0_25),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f1185,f218])).
% 88.62/11.55 fof(f1197,plain,(
% 88.62/11.55 spl0_25),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f1196])).
% 88.62/11.55 fof(f1884,plain,(
% 88.62/11.55 ![X0,X1]: (X0=X1|X0=vd1201|~rpoint(X1)|~rpoint(X0)|vangle(X0,vd1201,X1)=vangle(X1,vd1201,X0))),
% 88.62/11.55 inference(resolution,[status(thm)],[f1021,f790])).
% 88.62/11.55 fof(f1958,plain,(
% 88.62/11.55 spl0_64 <=> vd1187=vd1201),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f1959,plain,(
% 88.62/11.55 vd1187=vd1201|~spl0_64),
% 88.62/11.55 inference(component_clause,[status(thm)],[f1958])).
% 88.62/11.55 fof(f2481,plain,(
% 88.62/11.55 spl0_76 <=> rR(X0,X1,X2)|rR(X0,X3,vd1187)|X2=X0|vd1187=X0|X1=X0|X3=X0|~ron(X2,X4)|~ron(X1,X4)|~ron(X3,vd1232)|~ron(X0,vd1232)|~rline(X4)|~rpoint(X2)|~rpoint(X1)|~rpoint(X3)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(vd1187,X0,X2)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f2482,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4]: (rR(X0,X1,X2)|rR(X0,X3,vd1187)|X2=X0|vd1187=X0|X1=X0|X3=X0|~ron(X2,X4)|~ron(X1,X4)|~ron(X3,vd1232)|~ron(X0,vd1232)|~rline(X4)|~rpoint(X2)|~rpoint(X1)|~rpoint(X3)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(vd1187,X0,X2)|~spl0_76)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f2481])).
% 88.62/11.55 fof(f2484,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4]: (rR(X0,X1,X2)|rR(X0,X3,vd1187)|X2=X0|vd1187=X0|X1=X0|X3=X0|~ron(X2,X4)|~ron(X1,X4)|~ron(X3,vd1232)|~ron(X0,vd1232)|~rline(X4)|~rline(vd1232)|~rpoint(X2)|~rpoint(vd1187)|~rpoint(X1)|~rpoint(X3)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(vd1187,X0,X2))),
% 88.62/11.55 inference(resolution,[status(thm)],[f1001,f218])).
% 88.62/11.55 fof(f2485,plain,(
% 88.62/11.55 spl0_76|~spl0_23|~spl0_24),
% 88.62/11.55 inference(split_clause,[status(thm)],[f2484,f2481,f1171,f1174])).
% 88.62/11.55 fof(f2491,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5]: (rR(X0,X1,X2)|rR(X0,X3,X3)|X2=X0|X3=X0|X1=X0|X3=X0|~ron(X2,X4)|~ron(X1,X4)|~ron(X3,X5)|~ron(X0,X5)|~rline(X4)|~rline(X5)|~rpoint(X2)|~rpoint(X3)|~rpoint(X1)|~rpoint(X3)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(X3,X0,X2))),
% 88.62/11.55 inference(factoring,[status(esa)],[f1001])).
% 88.62/11.55 fof(f2492,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5]: (rR(X0,X1,X2)|rR(X0,X3,X3)|X2=X0|X3=X0|X1=X0|~ron(X2,X4)|~ron(X1,X4)|~ron(X3,X5)|~ron(X0,X5)|~rline(X4)|~rline(X5)|~rpoint(X2)|~rpoint(X3)|~rpoint(X1)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(X3,X0,X2))),
% 88.62/11.55 inference(duplicate_literals_removal,[status(esa)],[f2491])).
% 88.62/11.55 fof(f2493,plain,(
% 88.62/11.55 ![X0,X1,X2,X3,X4,X5]: (rR(X0,X1,X2)|X2=X0|X3=X0|X1=X0|~ron(X2,X4)|~ron(X1,X4)|~ron(X3,X5)|~ron(X0,X5)|~rline(X4)|~rline(X5)|~rpoint(X2)|~rpoint(X3)|~rpoint(X1)|~rpoint(X0)|vangle(X3,X0,X1)=vangle(X3,X0,X2))),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f2492,f836])).
% 88.62/11.55 fof(f2851,plain,(
% 88.62/11.55 spl0_127 <=> vd1185=vd1187),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f2852,plain,(
% 88.62/11.55 vd1185=vd1187|~spl0_127),
% 88.62/11.55 inference(component_clause,[status(thm)],[f2851])).
% 88.62/11.55 fof(f2854,plain,(
% 88.62/11.55 spl0_128 <=> vd1185=vd1201),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f2855,plain,(
% 88.62/11.55 vd1185=vd1201|~spl0_128),
% 88.62/11.55 inference(component_clause,[status(thm)],[f2854])).
% 88.62/11.55 fof(f2857,plain,(
% 88.62/11.55 spl0_129 <=> vangle(vd1185,vd1201,vd1187)=vangle(vd1187,vd1201,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f2858,plain,(
% 88.62/11.55 vangle(vd1185,vd1201,vd1187)=vangle(vd1187,vd1201,vd1185)|~spl0_129),
% 88.62/11.55 inference(component_clause,[status(thm)],[f2857])).
% 88.62/11.55 fof(f2862,plain,(
% 88.62/11.55 ![X0]: (X0=vd1185|X0=vd1201|~rpoint(X0)|vangle(X0,vd1201,vd1185)=vangle(vd1185,vd1201,X0))),
% 88.62/11.55 inference(resolution,[status(thm)],[f775,f1884])).
% 88.62/11.55 fof(f2962,plain,(
% 88.62/11.55 ~ron(vd1185,vd1232)|~spl0_128),
% 88.62/11.55 inference(backward_demodulation,[status(thm)],[f2855,f231])).
% 88.62/11.55 fof(f2973,plain,(
% 88.62/11.55 $false|~spl0_128),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f219,f2962])).
% 88.62/11.55 fof(f2974,plain,(
% 88.62/11.55 ~spl0_128),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f2973])).
% 88.62/11.55 fof(f3038,plain,(
% 88.62/11.55 ron(vd1187,vd1197)|~spl0_127),
% 88.62/11.55 inference(backward_demodulation,[status(thm)],[f2852,f784])).
% 88.62/11.55 fof(f3039,plain,(
% 88.62/11.55 $false|~spl0_127),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f3038,f232])).
% 88.62/11.55 fof(f3040,plain,(
% 88.62/11.55 ~spl0_127),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f3039])).
% 88.62/11.55 fof(f3448,plain,(
% 88.62/11.55 spl0_141 <=> ~ron(vd1185,X0)|~ron(vd1201,X0)|~rline(X0)|ron(vd1187,X0)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f3449,plain,(
% 88.62/11.55 ![X0]: (~ron(vd1185,X0)|~ron(vd1201,X0)|~rline(X0)|ron(vd1187,X0)|~spl0_141)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f3448])).
% 88.62/11.55 fof(f4087,plain,(
% 88.62/11.55 vd1187=vd1185|vd1187=vd1201|vangle(vd1187,vd1201,vd1185)=vangle(vd1185,vd1201,vd1187)),
% 88.62/11.55 inference(resolution,[status(thm)],[f2862,f772])).
% 88.62/11.55 fof(f4088,plain,(
% 88.62/11.55 spl0_127|spl0_64|spl0_129),
% 88.62/11.55 inference(split_clause,[status(thm)],[f4087,f2851,f1958,f2857])).
% 88.62/11.55 fof(f5385,plain,(
% 88.62/11.55 spl0_181 <=> rR(vd1187,vd1201,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f7444,plain,(
% 88.62/11.55 spl0_258 <=> ~ron(X0,vd1232)|~ron(X1,vd1232)|X1=vd1185|X1=X0|~rpoint(X0)|~rpoint(X1)|rR(X1,X0,vd1185)|vangle(X0,X1,vd1185)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f7445,plain,(
% 88.62/11.55 ![X0,X1]: (~ron(X0,vd1232)|~ron(X1,vd1232)|X1=vd1185|X1=X0|~rpoint(X0)|~rpoint(X1)|rR(X1,X0,vd1185)|vangle(X0,X1,vd1185)=v0|~spl0_258)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f7444])).
% 88.62/11.55 fof(f7447,plain,(
% 88.62/11.55 ![X0,X1]: (~ron(X0,vd1232)|~ron(X1,vd1232)|X1=vd1185|X1=X0|~rline(vd1232)|~rpoint(vd1185)|~rpoint(X0)|~rpoint(X1)|rR(X1,X0,vd1185)|vangle(X0,X1,vd1185)=v0)),
% 88.62/11.55 inference(resolution,[status(thm)],[f219,f810])).
% 88.62/11.55 fof(f7448,plain,(
% 88.62/11.55 spl0_258|~spl0_23|~spl0_15),
% 88.62/11.55 inference(split_clause,[status(thm)],[f7447,f7444,f1171,f1131])).
% 88.62/11.55 fof(f7451,plain,(
% 88.62/11.55 spl0_259 <=> ~ron(X0,vd1232)|vd1185=X1|vd1185=X0|~rpoint(X1)|~rpoint(X0)|rR(vd1185,X0,X1)|~ron(X1,vd1232)|vangle(X0,vd1185,X1)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f7452,plain,(
% 88.62/11.55 ![X0,X1]: (~ron(X0,vd1232)|vd1185=X1|vd1185=X0|~rpoint(X1)|~rpoint(X0)|rR(vd1185,X0,X1)|~ron(X1,vd1232)|vangle(X0,vd1185,X1)=v0|~spl0_259)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f7451])).
% 88.62/11.55 fof(f7454,plain,(
% 88.62/11.55 ![X0,X1]: (~ron(X0,vd1232)|vd1185=X1|vd1185=X0|~rline(vd1232)|~rpoint(X1)|~rpoint(X0)|~rpoint(vd1185)|rR(vd1185,X0,X1)|~ron(X1,vd1232)|vangle(X0,vd1185,X1)=v0)),
% 88.62/11.55 inference(resolution,[status(thm)],[f219,f810])).
% 88.62/11.55 fof(f7455,plain,(
% 88.62/11.55 spl0_259|~spl0_23|~spl0_15),
% 88.62/11.55 inference(split_clause,[status(thm)],[f7454,f7451,f1171,f1131])).
% 88.62/11.55 fof(f7498,plain,(
% 88.62/11.55 spl0_267 <=> ~ron(X0,vd1234)|~ron(X1,vd1234)|X1=vd1185|X1=X0|~rpoint(X0)|~rpoint(X1)|rR(X1,X0,vd1185)|vangle(X0,X1,vd1185)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f7499,plain,(
% 88.62/11.55 ![X0,X1]: (~ron(X0,vd1234)|~ron(X1,vd1234)|X1=vd1185|X1=X0|~rpoint(X0)|~rpoint(X1)|rR(X1,X0,vd1185)|vangle(X0,X1,vd1185)=v0|~spl0_267)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f7498])).
% 88.62/11.55 fof(f7501,plain,(
% 88.62/11.55 ![X0,X1]: (~ron(X0,vd1234)|~ron(X1,vd1234)|X1=vd1185|X1=X0|~rline(vd1234)|~rpoint(vd1185)|~rpoint(X0)|~rpoint(X1)|rR(X1,X0,vd1185)|vangle(X0,X1,vd1185)=v0)),
% 88.62/11.55 inference(resolution,[status(thm)],[f216,f810])).
% 88.62/11.55 fof(f7502,plain,(
% 88.62/11.55 spl0_267|~spl0_17|~spl0_15),
% 88.62/11.55 inference(split_clause,[status(thm)],[f7501,f7498,f1143,f1131])).
% 88.62/11.55 fof(f8151,plain,(
% 88.62/11.55 spl0_344 <=> rR(vd1185,X0,X1)|rR(vd1185,X2,vd1187)|X1=vd1185|X0=vd1185|X2=vd1185|~ron(X1,X3)|~ron(X0,X3)|~ron(X2,vd1232)|~rline(X3)|~rpoint(X1)|~rpoint(X0)|~rpoint(X2)|vangle(X2,vd1185,X0)=vangle(vd1187,vd1185,X1)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f8152,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (rR(vd1185,X0,X1)|rR(vd1185,X2,vd1187)|X1=vd1185|X0=vd1185|X2=vd1185|~ron(X1,X3)|~ron(X0,X3)|~ron(X2,vd1232)|~rline(X3)|~rpoint(X1)|~rpoint(X0)|~rpoint(X2)|vangle(X2,vd1185,X0)=vangle(vd1187,vd1185,X1)|~spl0_344)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f8151])).
% 88.62/11.55 fof(f8154,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (rR(vd1185,X0,X1)|rR(vd1185,X2,vd1187)|X1=vd1185|vd1187=vd1185|X0=vd1185|X2=vd1185|~ron(X1,X3)|~ron(X0,X3)|~ron(X2,vd1232)|~rline(X3)|~rpoint(X1)|~rpoint(X0)|~rpoint(X2)|~rpoint(vd1185)|vangle(X2,vd1185,X0)=vangle(vd1187,vd1185,X1)|~spl0_76)),
% 88.62/11.55 inference(resolution,[status(thm)],[f2482,f219])).
% 88.62/11.55 fof(f8155,plain,(
% 88.62/11.55 spl0_344|spl0_127|~spl0_15|~spl0_76),
% 88.62/11.55 inference(split_clause,[status(thm)],[f8154,f8151,f2851,f1131,f2481])).
% 88.62/11.55 fof(f8523,plain,(
% 88.62/11.55 spl0_386 <=> rR(X0,X1,X2)|X2=X0|vd1185=X0|X1=X0|~ron(X2,X3)|~ron(X1,X3)|~ron(X0,vd1234)|~rline(X3)|~rpoint(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,X0,X1)=vangle(vd1185,X0,X2)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f8524,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (rR(X0,X1,X2)|X2=X0|vd1185=X0|X1=X0|~ron(X2,X3)|~ron(X1,X3)|~ron(X0,vd1234)|~rline(X3)|~rpoint(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,X0,X1)=vangle(vd1185,X0,X2)|~spl0_386)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f8523])).
% 88.62/11.55 fof(f8526,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (rR(X0,X1,X2)|X2=X0|vd1185=X0|X1=X0|~ron(X2,X3)|~ron(X1,X3)|~ron(X0,vd1234)|~rline(X3)|~rline(vd1234)|~rpoint(X2)|~rpoint(vd1185)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,X0,X1)=vangle(vd1185,X0,X2))),
% 88.62/11.55 inference(resolution,[status(thm)],[f2493,f216])).
% 88.62/11.55 fof(f8527,plain,(
% 88.62/11.55 spl0_386|~spl0_17|~spl0_15),
% 88.62/11.55 inference(split_clause,[status(thm)],[f8526,f8523,f1143,f1131])).
% 88.62/11.55 fof(f8528,plain,(
% 88.62/11.55 spl0_387 <=> rR(X0,X1,X2)|X2=X0|vd1185=X0|X1=X0|~ron(X2,X3)|~ron(X1,X3)|~ron(X0,vd1232)|~rline(X3)|~rpoint(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,X0,X1)=vangle(vd1185,X0,X2)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f8529,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (rR(X0,X1,X2)|X2=X0|vd1185=X0|X1=X0|~ron(X2,X3)|~ron(X1,X3)|~ron(X0,vd1232)|~rline(X3)|~rpoint(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,X0,X1)=vangle(vd1185,X0,X2)|~spl0_387)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f8528])).
% 88.62/11.55 fof(f8531,plain,(
% 88.62/11.55 ![X0,X1,X2,X3]: (rR(X0,X1,X2)|X2=X0|vd1185=X0|X1=X0|~ron(X2,X3)|~ron(X1,X3)|~ron(X0,vd1232)|~rline(X3)|~rline(vd1232)|~rpoint(X2)|~rpoint(vd1185)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,X0,X1)=vangle(vd1185,X0,X2))),
% 88.62/11.55 inference(resolution,[status(thm)],[f2493,f219])).
% 88.62/11.55 fof(f8532,plain,(
% 88.62/11.55 spl0_387|~spl0_23|~spl0_15),
% 88.62/11.55 inference(split_clause,[status(thm)],[f8531,f8528,f1171,f1131])).
% 88.62/11.55 fof(f8578,plain,(
% 88.62/11.55 spl0_392 <=> ~ron(X0,vd1232)|X0=vd1185|X0=vd1185|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f8579,plain,(
% 88.62/11.55 ![X0]: (~ron(X0,vd1232)|X0=vd1185|X0=vd1185|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0|~spl0_392)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f8578])).
% 88.62/11.55 fof(f8581,plain,(
% 88.62/11.55 ![X0]: (~ron(X0,vd1232)|X0=vd1185|X0=vd1185|~rpoint(vd1185)|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0|~spl0_258)),
% 88.62/11.55 inference(resolution,[status(thm)],[f7445,f219])).
% 88.62/11.55 fof(f8582,plain,(
% 88.62/11.55 spl0_392|~spl0_15|~spl0_258),
% 88.62/11.55 inference(split_clause,[status(thm)],[f8581,f8578,f1131,f7444])).
% 88.62/11.55 fof(f8588,plain,(
% 88.62/11.55 ![X0]: (~ron(X0,vd1232)|X0=vd1185|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0|~spl0_392)),
% 88.62/11.55 inference(duplicate_literals_removal,[status(esa)],[f8579])).
% 88.62/11.55 fof(f9625,plain,(
% 88.62/11.55 ~ron(vd1187,vd1232)|~spl0_64),
% 88.62/11.55 inference(backward_demodulation,[status(thm)],[f1959,f231])).
% 88.62/11.55 fof(f9626,plain,(
% 88.62/11.55 ~spl0_25|~spl0_64),
% 88.62/11.55 inference(split_clause,[status(thm)],[f9625,f1183,f1958])).
% 88.62/11.55 fof(f10601,plain,(
% 88.62/11.55 spl0_531 <=> vd1185=X0|~rpoint(X0)|rR(vd1185,vd1187,X0)|~ron(X0,vd1232)|vangle(vd1187,vd1185,X0)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f10602,plain,(
% 88.62/11.55 ![X0]: (vd1185=X0|~rpoint(X0)|rR(vd1185,vd1187,X0)|~ron(X0,vd1232)|vangle(vd1187,vd1185,X0)=v0|~spl0_531)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f10601])).
% 88.62/11.55 fof(f10604,plain,(
% 88.62/11.55 ![X0]: (vd1185=X0|vd1185=vd1187|~rpoint(X0)|~rpoint(vd1187)|rR(vd1185,vd1187,X0)|~ron(X0,vd1232)|vangle(vd1187,vd1185,X0)=v0|~spl0_259)),
% 88.62/11.55 inference(resolution,[status(thm)],[f7452,f218])).
% 88.62/11.55 fof(f10605,plain,(
% 88.62/11.55 spl0_531|spl0_127|~spl0_24|~spl0_259),
% 88.62/11.55 inference(split_clause,[status(thm)],[f10604,f10601,f2851,f1174,f7451])).
% 88.62/11.55 fof(f10975,plain,(
% 88.62/11.55 spl0_580 <=> ~ron(X0,vd1234)|X0=vd1185|X0=vd1185|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f10976,plain,(
% 88.62/11.55 ![X0]: (~ron(X0,vd1234)|X0=vd1185|X0=vd1185|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0|~spl0_580)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f10975])).
% 88.62/11.55 fof(f10978,plain,(
% 88.62/11.55 ![X0]: (~ron(X0,vd1234)|X0=vd1185|X0=vd1185|~rpoint(vd1185)|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0|~spl0_267)),
% 88.62/11.55 inference(resolution,[status(thm)],[f7499,f216])).
% 88.62/11.55 fof(f10979,plain,(
% 88.62/11.55 spl0_580|~spl0_15|~spl0_267),
% 88.62/11.55 inference(split_clause,[status(thm)],[f10978,f10975,f1131,f7498])).
% 88.62/11.55 fof(f10980,plain,(
% 88.62/11.55 ![X0]: (~ron(X0,vd1234)|X0=vd1185|~rpoint(X0)|rR(X0,vd1185,vd1185)|vangle(vd1185,X0,vd1185)=v0|~spl0_580)),
% 88.62/11.55 inference(duplicate_literals_removal,[status(esa)],[f10976])).
% 88.62/11.55 fof(f11028,plain,(
% 88.62/11.55 spl0_588 <=> rR(vd1185,vd1187,vd1187)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f11029,plain,(
% 88.62/11.55 rR(vd1185,vd1187,vd1187)|~spl0_588),
% 88.62/11.55 inference(component_clause,[status(thm)],[f11028])).
% 88.62/11.55 fof(f11031,plain,(
% 88.62/11.55 spl0_589 <=> vangle(vd1187,vd1185,vd1187)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f11032,plain,(
% 88.62/11.55 vangle(vd1187,vd1185,vd1187)=v0|~spl0_589),
% 88.62/11.55 inference(component_clause,[status(thm)],[f11031])).
% 88.62/11.55 fof(f11047,plain,(
% 88.62/11.55 spl0_591 <=> rR(vd1187,vd1185,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f11048,plain,(
% 88.62/11.55 rR(vd1187,vd1185,vd1185)|~spl0_591),
% 88.62/11.55 inference(component_clause,[status(thm)],[f11047])).
% 88.62/11.55 fof(f11050,plain,(
% 88.62/11.55 spl0_592 <=> vangle(vd1185,vd1187,vd1185)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f11051,plain,(
% 88.62/11.55 vangle(vd1185,vd1187,vd1185)=v0|~spl0_592),
% 88.62/11.55 inference(component_clause,[status(thm)],[f11050])).
% 88.62/11.55 fof(f11065,plain,(
% 88.62/11.55 vd1187=vd1185|~rpoint(vd1187)|rR(vd1187,vd1185,vd1185)|vangle(vd1185,vd1187,vd1185)=v0|~spl0_392),
% 88.62/11.55 inference(resolution,[status(thm)],[f8588,f218])).
% 88.62/11.55 fof(f11066,plain,(
% 88.62/11.55 spl0_127|~spl0_24|spl0_591|spl0_592|~spl0_392),
% 88.62/11.55 inference(split_clause,[status(thm)],[f11065,f2851,f1174,f11047,f11050,f8578])).
% 88.62/11.55 fof(f12232,plain,(
% 88.62/11.55 ~rpoint(vd1185)|~rpoint(vd1187)|~spl0_591),
% 88.62/11.55 inference(resolution,[status(thm)],[f836,f11048])).
% 88.62/11.55 fof(f12233,plain,(
% 88.62/11.55 ~spl0_15|~spl0_24|~spl0_591),
% 88.62/11.55 inference(split_clause,[status(thm)],[f12232,f1131,f1174,f11047])).
% 88.62/11.55 fof(f14762,plain,(
% 88.62/11.55 ~rpoint(vd1187)|~rpoint(vd1185)|~spl0_588),
% 88.62/11.55 inference(resolution,[status(thm)],[f11029,f836])).
% 88.62/11.55 fof(f14763,plain,(
% 88.62/11.55 ~spl0_24|~spl0_15|~spl0_588),
% 88.62/11.55 inference(split_clause,[status(thm)],[f14762,f1174,f1131,f11028])).
% 88.62/11.55 fof(f20074,plain,(
% 88.62/11.55 spl0_1192 <=> rR(vd1185,X0,X1)|X1=vd1185|X0=vd1185|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1187,vd1185,X0)=vangle(vd1187,vd1185,X1)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20075,plain,(
% 88.62/11.55 ![X0,X1,X2]: (rR(vd1185,X0,X1)|X1=vd1185|X0=vd1185|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1187,vd1185,X0)=vangle(vd1187,vd1185,X1)|~spl0_1192)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20074])).
% 88.62/11.55 fof(f20081,plain,(
% 88.62/11.55 spl0_1193 <=> rR(vd1185,X0,vd1201)|X0=vd1185|~ron(X0,vd1234)|~rpoint(X0)|vangle(vd1187,vd1185,X0)=vangle(vd1187,vd1185,vd1201)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20082,plain,(
% 88.62/11.55 ![X0]: (rR(vd1185,X0,vd1201)|X0=vd1185|~ron(X0,vd1234)|~rpoint(X0)|vangle(vd1187,vd1185,X0)=vangle(vd1187,vd1185,vd1201)|~spl0_1193)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20081])).
% 88.62/11.55 fof(f20084,plain,(
% 88.62/11.55 ![X0]: (rR(vd1185,X0,vd1201)|vd1201=vd1185|X0=vd1185|~ron(X0,vd1234)|~rline(vd1234)|~rpoint(vd1201)|~rpoint(X0)|vangle(vd1187,vd1185,X0)=vangle(vd1187,vd1185,vd1201)|~spl0_1192)),
% 88.62/11.55 inference(resolution,[status(thm)],[f20075,f215])).
% 88.62/11.55 fof(f20085,plain,(
% 88.62/11.55 spl0_1193|spl0_128|~spl0_17|~spl0_18|~spl0_1192),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20084,f20081,f2854,f1143,f1146,f20074])).
% 88.62/11.55 fof(f20333,plain,(
% 88.62/11.55 ![X0,X1,X2]: (rR(vd1185,X0,X1)|rR(vd1185,vd1187,vd1187)|X1=vd1185|X0=vd1185|vd1187=vd1185|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|~rpoint(vd1187)|vangle(vd1187,vd1185,X0)=vangle(vd1187,vd1185,X1)|~spl0_344)),
% 88.62/11.55 inference(resolution,[status(thm)],[f8152,f218])).
% 88.62/11.55 fof(f20334,plain,(
% 88.62/11.55 spl0_1192|spl0_588|spl0_127|~spl0_24|~spl0_344),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20333,f20074,f11028,f2851,f1174,f8151])).
% 88.62/11.55 fof(f20342,plain,(
% 88.62/11.55 spl0_1201 <=> rR(vd1201,X0,X1)|X1=vd1201|X0=vd1201|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,vd1201,X0)=vangle(vd1185,vd1201,X1)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20343,plain,(
% 88.62/11.55 ![X0,X1,X2]: (rR(vd1201,X0,X1)|X1=vd1201|X0=vd1201|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,vd1201,X0)=vangle(vd1185,vd1201,X1)|~spl0_1201)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20342])).
% 88.62/11.55 fof(f20345,plain,(
% 88.62/11.55 ![X0,X1,X2]: (rR(vd1201,X0,X1)|X1=vd1201|vd1185=vd1201|X0=vd1201|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|~rpoint(vd1201)|vangle(vd1185,vd1201,X0)=vangle(vd1185,vd1201,X1)|~spl0_386)),
% 88.62/11.55 inference(resolution,[status(thm)],[f8524,f215])).
% 88.62/11.55 fof(f20346,plain,(
% 88.62/11.55 spl0_1201|spl0_128|~spl0_18|~spl0_386),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20345,f20342,f2854,f1146,f8523])).
% 88.62/11.55 fof(f20351,plain,(
% 88.62/11.55 spl0_1202 <=> rR(vd1187,X0,X1)|X1=vd1187|X0=vd1187|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,vd1187,X0)=vangle(vd1185,vd1187,X1)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20352,plain,(
% 88.62/11.55 ![X0,X1,X2]: (rR(vd1187,X0,X1)|X1=vd1187|X0=vd1187|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|vangle(vd1185,vd1187,X0)=vangle(vd1185,vd1187,X1)|~spl0_1202)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20351])).
% 88.62/11.55 fof(f20354,plain,(
% 88.62/11.55 ![X0,X1,X2]: (rR(vd1187,X0,X1)|X1=vd1187|vd1185=vd1187|X0=vd1187|~ron(X1,X2)|~ron(X0,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|~rpoint(vd1187)|vangle(vd1185,vd1187,X0)=vangle(vd1185,vd1187,X1)|~spl0_387)),
% 88.62/11.55 inference(resolution,[status(thm)],[f8529,f218])).
% 88.62/11.55 fof(f20355,plain,(
% 88.62/11.55 spl0_1202|spl0_127|~spl0_24|~spl0_387),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20354,f20351,f2851,f1174,f8528])).
% 88.62/11.55 fof(f20387,plain,(
% 88.62/11.55 spl0_1208 <=> rR(vd1201,X0,vd1185)|X0=vd1201|~ron(X0,vd1232)|~rpoint(X0)|vangle(vd1185,vd1201,X0)=vangle(vd1185,vd1201,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20388,plain,(
% 88.62/11.55 ![X0]: (rR(vd1201,X0,vd1185)|X0=vd1201|~ron(X0,vd1232)|~rpoint(X0)|vangle(vd1185,vd1201,X0)=vangle(vd1185,vd1201,vd1185)|~spl0_1208)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20387])).
% 88.62/11.55 fof(f20390,plain,(
% 88.62/11.55 ![X0]: (rR(vd1201,X0,vd1185)|vd1185=vd1201|X0=vd1201|~ron(X0,vd1232)|~rline(vd1232)|~rpoint(vd1185)|~rpoint(X0)|vangle(vd1185,vd1201,X0)=vangle(vd1185,vd1201,vd1185)|~spl0_1201)),
% 88.62/11.55 inference(resolution,[status(thm)],[f20343,f219])).
% 88.62/11.55 fof(f20391,plain,(
% 88.62/11.55 spl0_1208|spl0_128|~spl0_23|~spl0_15|~spl0_1201),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20390,f20387,f2854,f1171,f1131,f20342])).
% 88.62/11.55 fof(f20403,plain,(
% 88.62/11.55 spl0_1211 <=> rR(vd1201,vd1185,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20404,plain,(
% 88.62/11.55 rR(vd1201,vd1185,vd1185)|~spl0_1211),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20403])).
% 88.62/11.55 fof(f20417,plain,(
% 88.62/11.55 spl0_1213 <=> rR(vd1201,vd1187,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20418,plain,(
% 88.62/11.55 rR(vd1201,vd1187,vd1185)|~spl0_1213),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20417])).
% 88.62/11.55 fof(f20420,plain,(
% 88.62/11.55 spl0_1214 <=> vangle(vd1185,vd1201,vd1187)=vangle(vd1185,vd1201,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20421,plain,(
% 88.62/11.55 vangle(vd1185,vd1201,vd1187)=vangle(vd1185,vd1201,vd1185)|~spl0_1214),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20420])).
% 88.62/11.55 fof(f20423,plain,(
% 88.62/11.55 rR(vd1201,vd1187,vd1185)|vd1187=vd1201|~rpoint(vd1187)|vangle(vd1185,vd1201,vd1187)=vangle(vd1185,vd1201,vd1185)|~spl0_1208),
% 88.62/11.55 inference(resolution,[status(thm)],[f20388,f218])).
% 88.62/11.55 fof(f20424,plain,(
% 88.62/11.55 spl0_1213|spl0_64|~spl0_24|spl0_1214|~spl0_1208),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20423,f20417,f1958,f1174,f20420,f20387])).
% 88.62/11.55 fof(f20425,plain,(
% 88.62/11.55 spl0_1215 <=> vangle(vd1185,vd1201,vd1185)=vangle(vd1187,vd1201,vd1185)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20426,plain,(
% 88.62/11.55 vangle(vd1185,vd1201,vd1185)=vangle(vd1187,vd1201,vd1185)|~spl0_1215),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20425])).
% 88.62/11.55 fof(f20427,plain,(
% 88.62/11.55 ~vangle(vd1185,vd1201,vd1185)=vangle(vd1187,vd1201,vd1185)|spl0_1215),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20425])).
% 88.62/11.55 fof(f20480,plain,(
% 88.62/11.55 spl0_1221 <=> rR(vd1187,X0,vd1201)|X0=vd1187|~ron(X0,vd1234)|~rpoint(X0)|vangle(vd1185,vd1187,X0)=vangle(vd1185,vd1187,vd1201)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20481,plain,(
% 88.62/11.55 ![X0]: (rR(vd1187,X0,vd1201)|X0=vd1187|~ron(X0,vd1234)|~rpoint(X0)|vangle(vd1185,vd1187,X0)=vangle(vd1185,vd1187,vd1201)|~spl0_1221)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20480])).
% 88.62/11.55 fof(f20483,plain,(
% 88.62/11.55 ![X0]: (rR(vd1187,X0,vd1201)|vd1201=vd1187|X0=vd1187|~ron(X0,vd1234)|~rline(vd1234)|~rpoint(vd1201)|~rpoint(X0)|vangle(vd1185,vd1187,X0)=vangle(vd1185,vd1187,vd1201)|~spl0_1202)),
% 88.62/11.55 inference(resolution,[status(thm)],[f20352,f215])).
% 88.62/11.55 fof(f20484,plain,(
% 88.62/11.55 spl0_1221|spl0_64|~spl0_17|~spl0_18|~spl0_1202),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20483,f20480,f1958,f1143,f1146,f20351])).
% 88.62/11.55 fof(f20521,plain,(
% 88.62/11.55 spl0_1229 <=> rR(vd1187,vd1185,vd1201)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20522,plain,(
% 88.62/11.55 rR(vd1187,vd1185,vd1201)|~spl0_1229),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20521])).
% 88.62/11.55 fof(f20524,plain,(
% 88.62/11.55 spl0_1230 <=> vangle(vd1185,vd1187,vd1185)=vangle(vd1185,vd1187,vd1201)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f20525,plain,(
% 88.62/11.55 vangle(vd1185,vd1187,vd1185)=vangle(vd1185,vd1187,vd1201)|~spl0_1230),
% 88.62/11.55 inference(component_clause,[status(thm)],[f20524])).
% 88.62/11.55 fof(f20527,plain,(
% 88.62/11.55 rR(vd1187,vd1185,vd1201)|vd1185=vd1187|~rpoint(vd1185)|vangle(vd1185,vd1187,vd1185)=vangle(vd1185,vd1187,vd1201)|~spl0_1221),
% 88.62/11.55 inference(resolution,[status(thm)],[f20481,f216])).
% 88.62/11.55 fof(f20528,plain,(
% 88.62/11.55 spl0_1229|spl0_127|~spl0_15|spl0_1230|~spl0_1221),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20527,f20521,f2851,f1131,f20524,f20480])).
% 88.62/11.55 fof(f20597,plain,(
% 88.62/11.55 vd1185=vd1187|~rpoint(vd1187)|rR(vd1185,vd1187,vd1187)|vangle(vd1187,vd1185,vd1187)=v0|~spl0_531),
% 88.62/11.55 inference(resolution,[status(thm)],[f10602,f218])).
% 88.62/11.55 fof(f20598,plain,(
% 88.62/11.55 spl0_127|~spl0_24|spl0_588|spl0_589|~spl0_531),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20597,f2851,f1174,f11028,f11031,f10601])).
% 88.62/11.55 fof(f20629,plain,(
% 88.62/11.55 v0=vangle(vd1185,vd1187,vd1201)|~spl0_592|~spl0_1230),
% 88.62/11.55 inference(forward_demodulation,[status(thm)],[f11051,f20525])).
% 88.62/11.55 fof(f20633,plain,(
% 88.62/11.55 vangle(vd1187,vd1201,vd1185)=vangle(vd1185,vd1201,vd1185)|~spl0_129|~spl0_1214),
% 88.62/11.55 inference(forward_demodulation,[status(thm)],[f2858,f20421])).
% 88.62/11.55 fof(f20634,plain,(
% 88.62/11.55 $false|spl0_1215|~spl0_129|~spl0_1214),
% 88.62/11.55 inference(forward_subsumption_resolution,[status(thm)],[f20633,f20427])).
% 88.62/11.55 fof(f20635,plain,(
% 88.62/11.55 spl0_1215|~spl0_129|~spl0_1214),
% 88.62/11.55 inference(contradiction_clause,[status(thm)],[f20634])).
% 88.62/11.55 fof(f20951,plain,(
% 88.62/11.55 ~rpoint(vd1185)|~rpoint(vd1201)|~spl0_1211),
% 88.62/11.55 inference(resolution,[status(thm)],[f20404,f836])).
% 88.62/11.55 fof(f20952,plain,(
% 88.62/11.55 ~spl0_15|~spl0_18|~spl0_1211),
% 88.62/11.55 inference(split_clause,[status(thm)],[f20951,f1131,f1146,f20403])).
% 88.62/11.55 fof(f23414,plain,(
% 88.62/11.55 ~rpoint(vd1201)|~rpoint(vd1187)|~rpoint(vd1185)|rR(vd1187,vd1201,vd1185)|~spl0_1229),
% 88.62/11.55 inference(resolution,[status(thm)],[f839,f20522])).
% 88.62/11.55 fof(f23415,plain,(
% 88.62/11.55 ~spl0_18|~spl0_24|~spl0_15|spl0_181|~spl0_1229),
% 88.62/11.55 inference(split_clause,[status(thm)],[f23414,f1146,f1174,f1131,f5385,f20521])).
% 88.62/11.55 fof(f23422,plain,(
% 88.62/11.55 spl0_1276 <=> rR(vd1185,vd1187,vd1201)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f23425,plain,(
% 88.62/11.55 ~rR(vd1185,vd1187,vd1201)|~rpoint(vd1201)|~rpoint(vd1185)|~rpoint(vd1187)|~spl0_1229),
% 88.62/11.55 inference(resolution,[status(thm)],[f834,f20522])).
% 88.62/11.55 fof(f23426,plain,(
% 88.62/11.55 ~spl0_1276|~spl0_18|~spl0_15|~spl0_24|~spl0_1229),
% 88.62/11.55 inference(split_clause,[status(thm)],[f23425,f23422,f1146,f1131,f1174,f20521])).
% 88.62/11.55 fof(f23429,plain,(
% 88.62/11.55 ~rR(vd1187,vd1201,vd1185)|~rpoint(vd1185)|~rpoint(vd1187)|~rpoint(vd1201)|~spl0_1213),
% 88.62/11.55 inference(resolution,[status(thm)],[f834,f20418])).
% 88.62/11.55 fof(f23430,plain,(
% 88.62/11.55 ~spl0_181|~spl0_15|~spl0_24|~spl0_18|~spl0_1213),
% 88.62/11.55 inference(split_clause,[status(thm)],[f23429,f5385,f1131,f1174,f1146,f20417])).
% 88.62/11.55 fof(f23462,plain,(
% 88.62/11.55 spl0_1280 <=> ~ron(vd1185,X0)|~ron(vd1187,X0)|~rline(X0)|ron(vd1201,X0)),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f23463,plain,(
% 88.62/11.55 ![X0]: (~ron(vd1185,X0)|~ron(vd1187,X0)|~rline(X0)|ron(vd1201,X0)|~spl0_1280)),
% 88.62/11.55 inference(component_clause,[status(thm)],[f23462])).
% 88.62/11.55 fof(f23465,plain,(
% 88.62/11.55 ![X0]: (~ron(vd1185,X0)|~ron(vd1187,X0)|vd1187=vd1201|vd1187=vd1185|~rline(X0)|~rpoint(vd1201)|~rpoint(vd1185)|~rpoint(vd1187)|ron(vd1201,X0)|~spl0_592|~spl0_1230)),
% 88.62/11.55 inference(resolution,[status(thm)],[f20629,f812])).
% 88.62/11.55 fof(f23466,plain,(
% 88.62/11.55 spl0_1280|spl0_64|spl0_127|~spl0_18|~spl0_15|~spl0_24|~spl0_592|~spl0_1230),
% 88.62/11.55 inference(split_clause,[status(thm)],[f23465,f23462,f1958,f2851,f1146,f1131,f1174,f11050,f20524])).
% 88.62/11.55 fof(f23610,plain,(
% 88.62/11.55 spl0_1301 <=> vangle(vd1185,vd1201,vd1185)=v0),
% 88.62/11.55 introduced(split_symbol_definition)).
% 88.62/11.55 fof(f23611,plain,(
% 88.62/11.55 vangle(vd1185,vd1201,vd1185)=v0|~spl0_1301),
% 88.62/11.59 inference(component_clause,[status(thm)],[f23610])).
% 88.62/11.59 fof(f23613,plain,(
% 88.62/11.59 vd1201=vd1185|~rpoint(vd1201)|rR(vd1201,vd1185,vd1185)|vangle(vd1185,vd1201,vd1185)=v0|~spl0_580),
% 88.62/11.59 inference(resolution,[status(thm)],[f10980,f215])).
% 88.62/11.59 fof(f23614,plain,(
% 88.62/11.59 spl0_128|~spl0_18|spl0_1211|spl0_1301|~spl0_580),
% 88.62/11.59 inference(split_clause,[status(thm)],[f23613,f2854,f1146,f20403,f23610,f10975])).
% 88.62/11.59 fof(f24421,plain,(
% 88.62/11.59 spl0_1331 <=> ron(vd1185,vd1234)),
% 88.62/11.59 introduced(split_symbol_definition)).
% 88.62/11.59 fof(f24423,plain,(
% 88.62/11.59 ~ron(vd1185,vd1234)|spl0_1331),
% 88.62/11.59 inference(component_clause,[status(thm)],[f24421])).
% 88.62/11.59 fof(f24436,plain,(
% 88.62/11.59 spl0_1334 <=> ron(vd1201,vd1232)),
% 88.62/11.59 introduced(split_symbol_definition)).
% 88.62/11.59 fof(f24437,plain,(
% 88.62/11.59 ron(vd1201,vd1232)|~spl0_1334),
% 88.62/11.59 inference(component_clause,[status(thm)],[f24436])).
% 88.62/11.59 fof(f24439,plain,(
% 88.62/11.59 ~ron(vd1187,vd1232)|~rline(vd1232)|ron(vd1201,vd1232)|~spl0_1280),
% 88.62/11.59 inference(resolution,[status(thm)],[f23463,f219])).
% 88.62/11.59 fof(f24440,plain,(
% 88.62/11.59 ~spl0_25|~spl0_23|spl0_1334|~spl0_1280),
% 88.62/11.59 inference(split_clause,[status(thm)],[f24439,f1183,f1171,f24436,f23462])).
% 88.62/11.59 fof(f24441,plain,(
% 88.62/11.59 $false|~spl0_1334),
% 88.62/11.59 inference(forward_subsumption_resolution,[status(thm)],[f24437,f231])).
% 88.62/11.59 fof(f24442,plain,(
% 88.62/11.59 ~spl0_1334),
% 88.62/11.59 inference(contradiction_clause,[status(thm)],[f24441])).
% 88.62/11.59 fof(f24446,plain,(
% 88.62/11.59 v0=vangle(vd1187,vd1201,vd1185)|~spl0_1301|~spl0_1215),
% 88.62/11.59 inference(forward_demodulation,[status(thm)],[f23611,f20426])).
% 88.62/11.59 fof(f24479,plain,(
% 88.62/11.59 vangle(vd1185,vd1201,vd1187)=v0|~spl0_1301|~spl0_1215|~spl0_129),
% 88.62/11.59 inference(backward_demodulation,[status(thm)],[f24446,f2858])).
% 88.62/11.59 fof(f24671,plain,(
% 88.62/11.59 ![X0]: (~ron(vd1185,X0)|~ron(vd1201,X0)|vd1201=vd1187|vd1201=vd1185|~rline(X0)|~rpoint(vd1187)|~rpoint(vd1185)|~rpoint(vd1201)|ron(vd1187,X0)|~spl0_1301|~spl0_1215|~spl0_129)),
% 88.62/11.59 inference(resolution,[status(thm)],[f24479,f812])).
% 88.62/11.59 fof(f24672,plain,(
% 88.62/11.59 spl0_141|spl0_64|spl0_128|~spl0_24|~spl0_15|~spl0_18|~spl0_1301|~spl0_1215|~spl0_129),
% 88.62/11.59 inference(split_clause,[status(thm)],[f24671,f3448,f1958,f2854,f1174,f1131,f1146,f23610,f20425,f2857])).
% 88.62/11.59 fof(f24772,plain,(
% 88.62/11.59 spl0_1351 <=> vangle(vd1187,vd1185,vd1187)=vangle(vd1187,vd1185,vd1201)),
% 88.62/11.59 introduced(split_symbol_definition)).
% 88.62/11.59 fof(f24773,plain,(
% 88.62/11.59 vangle(vd1187,vd1185,vd1187)=vangle(vd1187,vd1185,vd1201)|~spl0_1351),
% 88.62/11.59 inference(component_clause,[status(thm)],[f24772])).
% 88.62/11.59 fof(f24775,plain,(
% 88.62/11.59 rR(vd1185,vd1187,vd1201)|vd1187=vd1185|~rpoint(vd1187)|vangle(vd1187,vd1185,vd1187)=vangle(vd1187,vd1185,vd1201)|~spl0_19|~spl0_1193),
% 88.62/11.59 inference(resolution,[status(thm)],[f1156,f20082])).
% 88.62/11.59 fof(f24776,plain,(
% 88.62/11.59 spl0_1276|spl0_127|~spl0_24|spl0_1351|~spl0_19|~spl0_1193),
% 88.62/11.59 inference(split_clause,[status(thm)],[f24775,f23422,f2851,f1174,f24772,f1155,f20081])).
% 88.62/11.59 fof(f25013,plain,(
% 88.62/11.59 v0=vangle(vd1187,vd1185,vd1201)|~spl0_589|~spl0_1351),
% 88.62/11.59 inference(forward_demodulation,[status(thm)],[f11032,f24773])).
% 88.62/11.59 fof(f25014,plain,(
% 88.62/11.59 $false|~spl0_589|~spl0_1351),
% 88.62/11.59 inference(forward_subsumption_resolution,[status(thm)],[f25013,f156])).
% 88.62/11.59 fof(f25015,plain,(
% 88.62/11.59 ~spl0_589|~spl0_1351),
% 88.62/11.59 inference(contradiction_clause,[status(thm)],[f25014])).
% 88.62/11.59 fof(f29884,plain,(
% 88.62/11.59 ~ron(vd1185,vd1234)|~rline(vd1234)|ron(vd1187,vd1234)|~spl0_141),
% 88.62/11.59 inference(resolution,[status(thm)],[f3449,f215])).
% 88.62/11.59 fof(f29885,plain,(
% 88.62/11.59 ~spl0_1331|~spl0_17|spl0_19|~spl0_141),
% 88.62/11.59 inference(split_clause,[status(thm)],[f29884,f24421,f1143,f1155,f3448])).
% 88.62/11.59 fof(f29886,plain,(
% 88.62/11.59 $false|spl0_1331),
% 88.62/11.59 inference(forward_subsumption_resolution,[status(thm)],[f24423,f216])).
% 88.62/11.59 fof(f29887,plain,(
% 88.62/11.59 spl0_1331),
% 88.62/11.59 inference(contradiction_clause,[status(thm)],[f29886])).
% 88.62/11.59 fof(f29888,plain,(
% 88.62/11.59 $false),
% 88.62/11.59 inference(sat_refutation,[status(thm)],[f1137,f1152,f1154,f1180,f1182,f1197,f2485,f2974,f3040,f4088,f7448,f7455,f7502,f8155,f8527,f8532,f8582,f9626,f10605,f10979,f11066,f12233,f14763,f20085,f20334,f20346,f20355,f20391,f20424,f20484,f20528,f20598,f20635,f20952,f23415,f23426,f23430,f23466,f23614,f24440,f24442,f24672,f24776,f25015,f29885,f29887])).
% 88.62/11.59 % SZS output end CNFRefutation for theBenchmark.p
% 89.09/11.60 % Elapsed time: 11.242655 seconds
% 89.09/11.60 % CPU time: 89.060302 seconds
% 89.09/11.60 % Total memory used: 353.289 MB
% 89.09/11.60 % Net memory used: 341.282 MB
%------------------------------------------------------------------------------