TSTP Solution File: GEO295+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:08:42 EDT 2023

% Result   : Theorem 8.13s 1.49s
% Output   : CNFRefutation 8.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n017.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 11:26:10 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.33  % Drodi V3.5.1
% 8.13/1.49  % Refutation found
% 8.13/1.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 8.13/1.49  % SZS output start CNFRefutation for theBenchmark
% 8.13/1.49  fof(f1,conjecture,(
% 8.13/1.49    vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f2,negated_conjecture,(
% 8.13/1.49    ~(vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)) )),
% 8.13/1.49    inference(negated_conjecture,[status(cth)],[f1])).
% 8.13/1.49  fof(f3,axiom,(
% 8.13/1.49    rS(vd1200,vd1187,vd1234) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f5,axiom,(
% 8.13/1.49    ~ ron(vd1201,vd1232) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f6,axiom,(
% 8.13/1.49    (! [Vd874,Vd875,Vd876,Vd877,Vd883,Vd884] :( ( Vd883 != Vd884& ~ ron(Vd877,Vd884)& ~ ron(Vd877,Vd883)& Vd874 != Vd876& Vd874 != Vd875& ron(Vd876,Vd884)& ron(Vd875,Vd883)& ron(Vd874,Vd884)& ron(Vd874,Vd883)& (? [Vd887] :( Vd884 = Vd887& rline(Vd887) ))& (? [Vd886] :( Vd883 = Vd886& rline(Vd886) ))& (? [Vd882] :( Vd877 = Vd882& rpoint(Vd882) ))& (? [Vd881] :( Vd876 = Vd881& rpoint(Vd881) ))& (? [Vd880] :( Vd875 = Vd880& rpoint(Vd880) ))& (? [Vd879] :( Vd874 = Vd879& rpoint(Vd879) ) ))=> ( vangle(Vd875,Vd874,Vd876) = vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876))<=> ( rS(Vd876,Vd877,Vd883)& rS(Vd875,Vd877,Vd884) ) ) ) )),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f7,axiom,(
% 8.13/1.49    ron(vd1201,vd1234) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f8,axiom,(
% 8.13/1.49    ron(vd1185,vd1234) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f9,axiom,(
% 8.13/1.49    rline(vd1234) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f10,axiom,(
% 8.13/1.49    ron(vd1187,vd1232) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f11,axiom,(
% 8.13/1.49    ron(vd1185,vd1232) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f12,axiom,(
% 8.13/1.49    rline(vd1232) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f13,axiom,(
% 8.13/1.49    ron(vd1185,vd1197) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f14,axiom,(
% 8.13/1.49    rS(vd1201,vd1187,vd1197) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f15,axiom,(
% 8.13/1.49    (? [Vd1205] :( vd1201 = Vd1205& rpoint(Vd1205) ) )),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f16,axiom,(
% 8.13/1.49    ~ ron(vd1187,vd1197) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f17,axiom,(
% 8.13/1.49    rline(vd1197) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f18,axiom,(
% 8.13/1.49    ( ~ (? [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) ) )) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f20,axiom,(
% 8.13/1.49    (! [Vd434,Vd435,Vd439,Vd440] :( ( rS(Vd434,Vd435,Vd439)& Vd439 = Vd440& rline(Vd440)& (? [Vd438] :( Vd435 = Vd438& rpoint(Vd438) ))& (? [Vd437] :( Vd434 = Vd437& rpoint(Vd437) ) ))=> ~ ron(Vd434,Vd439) ) )),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f21,axiom,(
% 8.13/1.49    (! [Vd314,Vd315,Vd319,Vd320] :( ( ron(Vd315,Vd320)& ron(Vd315,Vd319)& ron(Vd314,Vd320)& ron(Vd314,Vd319)& (? [Vd324] :( Vd320 = Vd324& rline(Vd324) ))& (? [Vd323] :( Vd319 = Vd323& rline(Vd323) ))& Vd314 != Vd315& (? [Vd318] :( Vd315 = Vd318& rpoint(Vd318) ))& (? [Vd317] :( Vd314 = Vd317& rpoint(Vd317) ) ))=> Vd319 = Vd320 ) )),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f22,axiom,(
% 8.13/1.49    ron(vd1200,vd1197) ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.49  fof(f30,axiom,(
% 8.13/1.49    vd1200 = vd1186 ),
% 8.13/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.50  fof(f64,axiom,(
% 8.13/1.50    v0 = vd684 ),
% 8.13/1.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.50  fof(f65,axiom,(
% 8.13/1.50    rreal(vd684) ),
% 8.13/1.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.13/1.50  fof(f152,plain,(
% 8.13/1.50    ~vangle(vd1186,vd1185,vd1201)=vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201))),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f2])).
% 8.13/1.50  fof(f153,plain,(
% 8.13/1.50    rS(vd1200,vd1187,vd1234)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f3])).
% 8.13/1.50  fof(f155,plain,(
% 8.13/1.50    ~ron(vd1201,vd1232)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f5])).
% 8.13/1.50  fof(f156,plain,(
% 8.13/1.50    ![Vd874,Vd875,Vd876,Vd877,Vd883,Vd884]: (((((((((((((((Vd883=Vd884|ron(Vd877,Vd884))|ron(Vd877,Vd883))|Vd874=Vd876)|Vd874=Vd875)|~ron(Vd876,Vd884))|~ron(Vd875,Vd883))|~ron(Vd874,Vd884))|~ron(Vd874,Vd883))|(![Vd887]: (~Vd884=Vd887|~rline(Vd887))))|(![Vd886]: (~Vd883=Vd886|~rline(Vd886))))|(![Vd882]: (~Vd877=Vd882|~rpoint(Vd882))))|(![Vd881]: (~Vd876=Vd881|~rpoint(Vd881))))|(![Vd880]: (~Vd875=Vd880|~rpoint(Vd880))))|(![Vd879]: (~Vd874=Vd879|~rpoint(Vd879))))|(vangle(Vd875,Vd874,Vd876)=vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876))<=>(rS(Vd876,Vd877,Vd883)&rS(Vd875,Vd877,Vd884))))),
% 8.13/1.50    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 8.13/1.50  fof(f157,plain,(
% 8.13/1.50    ![Vd874,Vd875,Vd876,Vd877,Vd883,Vd884]: (((((((((((((((Vd883=Vd884|ron(Vd877,Vd884))|ron(Vd877,Vd883))|Vd874=Vd876)|Vd874=Vd875)|~ron(Vd876,Vd884))|~ron(Vd875,Vd883))|~ron(Vd874,Vd884))|~ron(Vd874,Vd883))|(![Vd887]: (~Vd884=Vd887|~rline(Vd887))))|(![Vd886]: (~Vd883=Vd886|~rline(Vd886))))|(![Vd882]: (~Vd877=Vd882|~rpoint(Vd882))))|(![Vd881]: (~Vd876=Vd881|~rpoint(Vd881))))|(![Vd880]: (~Vd875=Vd880|~rpoint(Vd880))))|(![Vd879]: (~Vd874=Vd879|~rpoint(Vd879))))|((~vangle(Vd875,Vd874,Vd876)=vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876))|(rS(Vd876,Vd877,Vd883)&rS(Vd875,Vd877,Vd884)))&(vangle(Vd875,Vd874,Vd876)=vplus(vangle(Vd875,Vd874,Vd877),vangle(Vd877,Vd874,Vd876))|(~rS(Vd876,Vd877,Vd883)|~rS(Vd875,Vd877,Vd884)))))),
% 8.13/1.50    inference(NNF_transformation,[status(esa)],[f156])).
% 8.13/1.50  fof(f160,plain,(
% 8.13/1.50    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (X0=X1|ron(X2,X1)|ron(X2,X0)|X3=X4|X3=X5|~ron(X4,X1)|~ron(X5,X0)|~ron(X3,X1)|~ron(X3,X0)|~X1=X6|~rline(X6)|~X0=X7|~rline(X7)|~X2=X8|~rpoint(X8)|~X4=X9|~rpoint(X9)|~X5=X10|~rpoint(X10)|~X3=X11|~rpoint(X11)|vangle(X5,X3,X4)=vplus(vangle(X5,X3,X2),vangle(X2,X3,X4))|~rS(X4,X2,X0)|~rS(X5,X2,X1))),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f157])).
% 8.13/1.50  fof(f161,plain,(
% 8.13/1.50    ron(vd1201,vd1234)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f7])).
% 8.13/1.50  fof(f162,plain,(
% 8.13/1.50    ron(vd1185,vd1234)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f8])).
% 8.13/1.50  fof(f163,plain,(
% 8.13/1.50    rline(vd1234)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f9])).
% 8.13/1.50  fof(f164,plain,(
% 8.13/1.50    ron(vd1187,vd1232)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f10])).
% 8.13/1.50  fof(f165,plain,(
% 8.13/1.50    ron(vd1185,vd1232)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f11])).
% 8.13/1.50  fof(f166,plain,(
% 8.13/1.50    rline(vd1232)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.13/1.50  fof(f167,plain,(
% 8.13/1.50    ron(vd1185,vd1197)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f13])).
% 8.13/1.50  fof(f168,plain,(
% 8.13/1.50    rS(vd1201,vd1187,vd1197)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f14])).
% 8.13/1.50  fof(f169,plain,(
% 8.13/1.50    (vd1201=sk0_0&rpoint(sk0_0))),
% 8.13/1.50    inference(skolemization,[status(esa)],[f15])).
% 8.13/1.50  fof(f170,plain,(
% 8.13/1.50    vd1201=sk0_0),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f169])).
% 8.13/1.50  fof(f171,plain,(
% 8.13/1.50    rpoint(sk0_0)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f169])).
% 8.13/1.50  fof(f172,plain,(
% 8.13/1.50    ~ron(vd1187,vd1197)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f16])).
% 8.13/1.50  fof(f173,plain,(
% 8.13/1.50    rline(vd1197)),
% 8.13/1.50    inference(cnf_transformation,[status(esa)],[f17])).
% 8.13/1.50  fof(f174,plain,(
% 8.13/1.50    ((((((((((((![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)))),
% 8.13/1.51    inference(pre_NNF_transformation,[status(esa)],[f18])).
% 8.13/1.51  fof(f175,plain,(
% 8.13/1.51    ((((((((((((![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_1&rpoint(sk0_1)))&(vd1186=sk0_2&rpoint(sk0_2)))&(vd1185=sk0_3&rpoint(sk0_3)))&~vd1179=vd1180)&~vd1178=vd1180)&~vd1178=vd1179)&(vd1180=sk0_4&rpoint(sk0_4)))&(vd1179=sk0_5&rpoint(sk0_5)))&(vd1178=sk0_6&rpoint(sk0_6))),
% 8.13/1.51    inference(skolemization,[status(esa)],[f174])).
% 8.13/1.51  fof(f176,plain,(
% 8.13/1.51    ![X0]: (~ron(vd1187,X0)|~ron(vd1186,X0)|~ron(vd1185,X0)|~rline(X0))),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f180,plain,(
% 8.13/1.51    vd1187=sk0_1),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f181,plain,(
% 8.13/1.51    rpoint(sk0_1)),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f182,plain,(
% 8.13/1.51    vd1186=sk0_2),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f183,plain,(
% 8.13/1.51    rpoint(sk0_2)),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f184,plain,(
% 8.13/1.51    vd1185=sk0_3),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f185,plain,(
% 8.13/1.51    rpoint(sk0_3)),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f186,plain,(
% 8.13/1.51    ~vd1179=vd1180),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f175])).
% 8.13/1.51  fof(f201,plain,(
% 8.13/1.51    ![Vd434,Vd435,Vd439,Vd440]: (((((~rS(Vd434,Vd435,Vd439)|~Vd439=Vd440)|~rline(Vd440))|(![Vd438]: (~Vd435=Vd438|~rpoint(Vd438))))|(![Vd437]: (~Vd434=Vd437|~rpoint(Vd437))))|~ron(Vd434,Vd439))),
% 8.13/1.51    inference(pre_NNF_transformation,[status(esa)],[f20])).
% 8.13/1.51  fof(f202,plain,(
% 8.13/1.51    ![Vd434,Vd439]: (((![Vd435]: ((![Vd440]: ((~rS(Vd434,Vd435,Vd439)|~Vd439=Vd440)|~rline(Vd440)))|(![Vd438]: (~Vd435=Vd438|~rpoint(Vd438)))))|(![Vd437]: (~Vd434=Vd437|~rpoint(Vd437))))|~ron(Vd434,Vd439))),
% 8.13/1.51    inference(miniscoping,[status(esa)],[f201])).
% 8.13/1.51  fof(f203,plain,(
% 8.13/1.51    ![X0,X1,X2,X3,X4,X5]: (~rS(X0,X1,X2)|~X2=X3|~rline(X3)|~X1=X4|~rpoint(X4)|~X0=X5|~rpoint(X5)|~ron(X0,X2))),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f202])).
% 8.13/1.51  fof(f204,plain,(
% 8.13/1.51    ![Vd314,Vd315,Vd319,Vd320]: (((((((((~ron(Vd315,Vd320)|~ron(Vd315,Vd319))|~ron(Vd314,Vd320))|~ron(Vd314,Vd319))|(![Vd324]: (~Vd320=Vd324|~rline(Vd324))))|(![Vd323]: (~Vd319=Vd323|~rline(Vd323))))|Vd314=Vd315)|(![Vd318]: (~Vd315=Vd318|~rpoint(Vd318))))|(![Vd317]: (~Vd314=Vd317|~rpoint(Vd317))))|Vd319=Vd320)),
% 8.13/1.51    inference(pre_NNF_transformation,[status(esa)],[f21])).
% 8.13/1.51  fof(f205,plain,(
% 8.13/1.51    ![Vd319,Vd320]: ((![Vd314]: ((![Vd315]: (((((((~ron(Vd315,Vd320)|~ron(Vd315,Vd319))|~ron(Vd314,Vd320))|~ron(Vd314,Vd319))|(![Vd324]: (~Vd320=Vd324|~rline(Vd324))))|(![Vd323]: (~Vd319=Vd323|~rline(Vd323))))|Vd314=Vd315)|(![Vd318]: (~Vd315=Vd318|~rpoint(Vd318)))))|(![Vd317]: (~Vd314=Vd317|~rpoint(Vd317)))))|Vd319=Vd320)),
% 8.13/1.51    inference(miniscoping,[status(esa)],[f204])).
% 8.13/1.51  fof(f206,plain,(
% 8.13/1.51    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~ron(X0,X1)|~ron(X0,X2)|~ron(X3,X1)|~ron(X3,X2)|~X1=X4|~rline(X4)|~X2=X5|~rline(X5)|X3=X0|~X0=X6|~rpoint(X6)|~X3=X7|~rpoint(X7)|X2=X1)),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f205])).
% 8.13/1.51  fof(f207,plain,(
% 8.13/1.51    ron(vd1200,vd1197)),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f22])).
% 8.13/1.51  fof(f215,plain,(
% 8.13/1.51    vd1200=vd1186),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f30])).
% 8.13/1.51  fof(f310,plain,(
% 8.13/1.51    v0=vd684),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f64])).
% 8.13/1.51  fof(f311,plain,(
% 8.13/1.51    rreal(vd684)),
% 8.13/1.51    inference(cnf_transformation,[status(esa)],[f65])).
% 8.13/1.51  fof(f758,plain,(
% 8.13/1.51    ![X0,X1,X2,X3,X4,X5]: (X0=X1|ron(X2,X1)|ron(X2,X0)|X3=X4|X3=X5|~ron(X4,X1)|~ron(X5,X0)|~ron(X3,X1)|~ron(X3,X0)|~rline(X1)|~rline(X0)|~rpoint(X2)|~rpoint(X4)|~rpoint(X5)|~rpoint(X3)|vangle(X5,X3,X4)=vplus(vangle(X5,X3,X2),vangle(X2,X3,X4))|~rS(X4,X2,X0)|~rS(X5,X2,X1))),
% 8.13/1.51    inference(destructive_equality_resolution,[status(esa)],[f160])).
% 8.13/1.51  fof(f762,plain,(
% 8.13/1.51    ![X0,X1,X2]: (~rS(X0,X1,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|~ron(X0,X2))),
% 8.13/1.51    inference(destructive_equality_resolution,[status(esa)],[f203])).
% 8.13/1.51  fof(f763,plain,(
% 8.13/1.51    ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X0,X2)|~ron(X3,X1)|~ron(X3,X2)|~rline(X1)|~rline(X2)|X3=X0|~rpoint(X0)|~rpoint(X3)|X2=X1)),
% 8.13/1.51    inference(destructive_equality_resolution,[status(esa)],[f206])).
% 8.13/1.51  fof(f984,plain,(
% 8.13/1.51    spl0_13 <=> X0=X1|ron(vd1187,X1)|ron(vd1187,X0)|~ron(vd1201,X1)|~ron(vd1186,X0)|~ron(vd1185,X1)|~ron(vd1185,X0)|~rline(X1)|~rline(X0)|~rS(vd1201,vd1187,X0)|~rS(vd1186,vd1187,X1)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f985,plain,(
% 8.13/1.51    ![X0,X1]: (X0=X1|ron(vd1187,X1)|ron(vd1187,X0)|~ron(vd1201,X1)|~ron(vd1186,X0)|~ron(vd1185,X1)|~ron(vd1185,X0)|~rline(X1)|~rline(X0)|~rS(vd1201,vd1187,X0)|~rS(vd1186,vd1187,X1)|~spl0_13)),
% 8.13/1.51    inference(component_clause,[status(thm)],[f984])).
% 8.13/1.51  fof(f987,plain,(
% 8.13/1.51    spl0_14 <=> vd1185=vd1201),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f988,plain,(
% 8.13/1.51    vd1185=vd1201|~spl0_14),
% 8.13/1.51    inference(component_clause,[status(thm)],[f987])).
% 8.13/1.51  fof(f990,plain,(
% 8.13/1.51    spl0_15 <=> vd1185=vd1186),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f991,plain,(
% 8.13/1.51    vd1185=vd1186|~spl0_15),
% 8.13/1.51    inference(component_clause,[status(thm)],[f990])).
% 8.13/1.51  fof(f993,plain,(
% 8.13/1.51    spl0_16 <=> rpoint(vd1187)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f995,plain,(
% 8.13/1.51    ~rpoint(vd1187)|spl0_16),
% 8.13/1.51    inference(component_clause,[status(thm)],[f993])).
% 8.13/1.51  fof(f996,plain,(
% 8.13/1.51    spl0_17 <=> rpoint(vd1201)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f998,plain,(
% 8.13/1.51    ~rpoint(vd1201)|spl0_17),
% 8.13/1.51    inference(component_clause,[status(thm)],[f996])).
% 8.13/1.51  fof(f999,plain,(
% 8.13/1.51    spl0_18 <=> rpoint(vd1186)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1001,plain,(
% 8.13/1.51    ~rpoint(vd1186)|spl0_18),
% 8.13/1.51    inference(component_clause,[status(thm)],[f999])).
% 8.13/1.51  fof(f1002,plain,(
% 8.13/1.51    spl0_19 <=> rpoint(vd1185)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1004,plain,(
% 8.13/1.51    ~rpoint(vd1185)|spl0_19),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1002])).
% 8.13/1.51  fof(f1005,plain,(
% 8.13/1.51    ![X0,X1]: (X0=X1|ron(vd1187,X1)|ron(vd1187,X0)|vd1185=vd1201|vd1185=vd1186|~ron(vd1201,X1)|~ron(vd1186,X0)|~ron(vd1185,X1)|~ron(vd1185,X0)|~rline(X1)|~rline(X0)|~rpoint(vd1187)|~rpoint(vd1201)|~rpoint(vd1186)|~rpoint(vd1185)|~rS(vd1201,vd1187,X0)|~rS(vd1186,vd1187,X1))),
% 8.13/1.51    inference(resolution,[status(thm)],[f758,f152])).
% 8.13/1.51  fof(f1006,plain,(
% 8.13/1.51    spl0_13|spl0_14|spl0_15|~spl0_16|~spl0_17|~spl0_18|~spl0_19),
% 8.13/1.51    inference(split_clause,[status(thm)],[f1005,f984,f987,f990,f993,f996,f999,f1002])).
% 8.13/1.51  fof(f1072,plain,(
% 8.13/1.51    spl0_35 <=> ron(vd1187,vd1234)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1073,plain,(
% 8.13/1.51    ron(vd1187,vd1234)|~spl0_35),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1072])).
% 8.13/1.51  fof(f1075,plain,(
% 8.13/1.51    spl0_36 <=> rline(vd1234)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1077,plain,(
% 8.13/1.51    ~rline(vd1234)|spl0_36),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1075])).
% 8.13/1.51  fof(f1111,plain,(
% 8.13/1.51    rpoint(vd1201)),
% 8.13/1.51    inference(forward_demodulation,[status(thm)],[f170,f171])).
% 8.13/1.51  fof(f1112,plain,(
% 8.13/1.51    rpoint(vd1187)),
% 8.13/1.51    inference(forward_demodulation,[status(thm)],[f180,f181])).
% 8.13/1.51  fof(f1113,plain,(
% 8.13/1.51    rpoint(vd1186)),
% 8.13/1.51    inference(forward_demodulation,[status(thm)],[f182,f183])).
% 8.13/1.51  fof(f1114,plain,(
% 8.13/1.51    rpoint(vd1185)),
% 8.13/1.51    inference(forward_demodulation,[status(thm)],[f184,f185])).
% 8.13/1.51  fof(f1115,plain,(
% 8.13/1.51    $false|spl0_19),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1114,f1004])).
% 8.13/1.51  fof(f1116,plain,(
% 8.13/1.51    spl0_19),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1115])).
% 8.13/1.51  fof(f1117,plain,(
% 8.13/1.51    $false|spl0_18),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1001,f1113])).
% 8.13/1.51  fof(f1118,plain,(
% 8.13/1.51    spl0_18),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1117])).
% 8.13/1.51  fof(f1119,plain,(
% 8.13/1.51    $false|spl0_17),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f998,f1111])).
% 8.13/1.51  fof(f1120,plain,(
% 8.13/1.51    spl0_17),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1119])).
% 8.13/1.51  fof(f1121,plain,(
% 8.13/1.51    $false|spl0_16),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f995,f1112])).
% 8.13/1.51  fof(f1122,plain,(
% 8.13/1.51    spl0_16),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1121])).
% 8.13/1.51  fof(f1263,plain,(
% 8.13/1.51    rS(vd1186,vd1187,vd1234)),
% 8.13/1.51    inference(backward_demodulation,[status(thm)],[f215,f153])).
% 8.13/1.51  fof(f1267,plain,(
% 8.13/1.51    rreal(v0)),
% 8.13/1.51    inference(forward_demodulation,[status(thm)],[f310,f311])).
% 8.13/1.51  fof(f1270,plain,(
% 8.13/1.51    $false|spl0_36),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f163,f1077])).
% 8.13/1.51  fof(f1271,plain,(
% 8.13/1.51    spl0_36),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1270])).
% 8.13/1.51  fof(f1272,plain,(
% 8.13/1.51    ron(vd1186,vd1197)),
% 8.13/1.51    inference(forward_demodulation,[status(thm)],[f215,f207])).
% 8.13/1.51  fof(f1278,plain,(
% 8.13/1.51    spl0_62 <=> ron(vd1186,vd1232)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1280,plain,(
% 8.13/1.51    ~ron(vd1186,vd1232)|spl0_62),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1278])).
% 8.13/1.51  fof(f1281,plain,(
% 8.13/1.51    spl0_63 <=> ron(vd1185,vd1232)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1283,plain,(
% 8.13/1.51    ~ron(vd1185,vd1232)|spl0_63),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1281])).
% 8.13/1.51  fof(f1284,plain,(
% 8.13/1.51    spl0_64 <=> rline(vd1232)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1286,plain,(
% 8.13/1.51    ~rline(vd1232)|spl0_64),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1284])).
% 8.13/1.51  fof(f1287,plain,(
% 8.13/1.51    ~ron(vd1186,vd1232)|~ron(vd1185,vd1232)|~rline(vd1232)),
% 8.13/1.51    inference(resolution,[status(thm)],[f164,f176])).
% 8.13/1.51  fof(f1288,plain,(
% 8.13/1.51    ~spl0_62|~spl0_63|~spl0_64),
% 8.13/1.51    inference(split_clause,[status(thm)],[f1287,f1278,f1281,f1284])).
% 8.13/1.51  fof(f1289,plain,(
% 8.13/1.51    $false|spl0_64),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1286,f166])).
% 8.13/1.51  fof(f1290,plain,(
% 8.13/1.51    spl0_64),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1289])).
% 8.13/1.51  fof(f1294,plain,(
% 8.13/1.51    spl0_65 <=> ron(vd1186,vd1234)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1296,plain,(
% 8.13/1.51    ~ron(vd1186,vd1234)|spl0_65),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1294])).
% 8.13/1.51  fof(f1297,plain,(
% 8.13/1.51    spl0_66 <=> ron(vd1185,vd1234)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1299,plain,(
% 8.13/1.51    ~ron(vd1185,vd1234)|spl0_66),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1297])).
% 8.13/1.51  fof(f1302,plain,(
% 8.13/1.51    $false|spl0_66),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1299,f162])).
% 8.13/1.51  fof(f1303,plain,(
% 8.13/1.51    spl0_66),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1302])).
% 8.13/1.51  fof(f1304,plain,(
% 8.13/1.51    $false|spl0_63),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1283,f165])).
% 8.13/1.51  fof(f1305,plain,(
% 8.13/1.51    spl0_63),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1304])).
% 8.13/1.51  fof(f1312,plain,(
% 8.13/1.51    spl0_69 <=> ron(vd1186,vd1197)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1314,plain,(
% 8.13/1.51    ~ron(vd1186,vd1197)|spl0_69),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1312])).
% 8.13/1.51  fof(f1315,plain,(
% 8.13/1.51    spl0_70 <=> rline(vd1197)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1317,plain,(
% 8.13/1.51    ~rline(vd1197)|spl0_70),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1315])).
% 8.13/1.51  fof(f1325,plain,(
% 8.13/1.51    $false|spl0_69),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1314,f1272])).
% 8.13/1.51  fof(f1326,plain,(
% 8.13/1.51    spl0_69),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1325])).
% 8.13/1.51  fof(f1327,plain,(
% 8.13/1.51    $false|spl0_70),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1317,f173])).
% 8.13/1.51  fof(f1328,plain,(
% 8.13/1.51    spl0_70),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1327])).
% 8.13/1.51  fof(f1556,plain,(
% 8.13/1.51    spl0_107 <=> ron(vd1187,vd1232)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1558,plain,(
% 8.13/1.51    ~ron(vd1187,vd1232)|spl0_107),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1556])).
% 8.13/1.51  fof(f1572,plain,(
% 8.13/1.51    spl0_111 <=> ron(vd1185,vd1197)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1574,plain,(
% 8.13/1.51    ~ron(vd1185,vd1197)|spl0_111),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1572])).
% 8.13/1.51  fof(f1605,plain,(
% 8.13/1.51    spl0_118 <=> ron(vd1201,vd1234)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1607,plain,(
% 8.13/1.51    ~ron(vd1201,vd1234)|spl0_118),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1605])).
% 8.13/1.51  fof(f1688,plain,(
% 8.13/1.51    $false|spl0_118),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1607,f161])).
% 8.13/1.51  fof(f1689,plain,(
% 8.13/1.51    spl0_118),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1688])).
% 8.13/1.51  fof(f1690,plain,(
% 8.13/1.51    $false|spl0_111),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1574,f167])).
% 8.13/1.51  fof(f1691,plain,(
% 8.13/1.51    spl0_111),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1690])).
% 8.13/1.51  fof(f1692,plain,(
% 8.13/1.51    $false|spl0_107),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1558,f164])).
% 8.13/1.51  fof(f1693,plain,(
% 8.13/1.51    spl0_107),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1692])).
% 8.13/1.51  fof(f1707,plain,(
% 8.13/1.51    spl0_129 <=> vd1185=vd1187),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1708,plain,(
% 8.13/1.51    vd1185=vd1187|~spl0_129),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1707])).
% 8.13/1.51  fof(f1849,plain,(
% 8.13/1.51    ron(vd1186,vd1232)|~spl0_15),
% 8.13/1.51    inference(backward_demodulation,[status(thm)],[f991,f165])).
% 8.13/1.51  fof(f1850,plain,(
% 8.13/1.51    $false|spl0_62|~spl0_15),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f1849,f1280])).
% 8.13/1.51  fof(f1851,plain,(
% 8.13/1.51    spl0_62|~spl0_15),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f1850])).
% 8.13/1.51  fof(f1852,plain,(
% 8.13/1.51    spl0_156 <=> vd1197=X0|ron(vd1187,X0)|~ron(vd1201,X0)|~ron(vd1185,X0)|~rline(X0)|~rS(vd1186,vd1187,X0)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f1853,plain,(
% 8.13/1.51    ![X0]: (vd1197=X0|ron(vd1187,X0)|~ron(vd1201,X0)|~ron(vd1185,X0)|~rline(X0)|~rS(vd1186,vd1187,X0)|~spl0_156)),
% 8.13/1.51    inference(component_clause,[status(thm)],[f1852])).
% 8.13/1.51  fof(f1878,plain,(
% 8.13/1.51    ~ron(vd1185,vd1232)|~spl0_14),
% 8.13/1.51    inference(backward_demodulation,[status(thm)],[f988,f155])).
% 8.13/1.51  fof(f1879,plain,(
% 8.13/1.51    ~spl0_63|~spl0_14),
% 8.13/1.51    inference(split_clause,[status(thm)],[f1878,f1281,f987])).
% 8.13/1.51  fof(f1912,plain,(
% 8.13/1.51    ~ron(vd1185,vd1197)|~spl0_129),
% 8.13/1.51    inference(backward_demodulation,[status(thm)],[f1708,f172])).
% 8.13/1.51  fof(f1913,plain,(
% 8.13/1.51    ~spl0_111|~spl0_129),
% 8.13/1.51    inference(split_clause,[status(thm)],[f1912,f1572,f1707])).
% 8.13/1.51  fof(f2190,plain,(
% 8.13/1.51    ![X0,X1]: (X0=X1|ron(vd1187,X1)|~ron(vd1201,X1)|~ron(vd1186,X0)|~ron(vd1185,X1)|~ron(vd1185,X0)|~rline(X1)|~rline(X0)|~rS(vd1201,vd1187,X0)|~rS(vd1186,vd1187,X1)|~spl0_13)),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f985,f176])).
% 8.13/1.51  fof(f2315,plain,(
% 8.13/1.51    spl0_191 <=> vd1197=vd1234),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f2316,plain,(
% 8.13/1.51    vd1197=vd1234|~spl0_191),
% 8.13/1.51    inference(component_clause,[status(thm)],[f2315])).
% 8.13/1.51  fof(f2320,plain,(
% 8.13/1.51    vd1197=vd1234|ron(vd1187,vd1234)|~ron(vd1201,vd1234)|~ron(vd1185,vd1234)|~rline(vd1234)|~spl0_156),
% 8.13/1.51    inference(resolution,[status(thm)],[f1263,f1853])).
% 8.13/1.51  fof(f2321,plain,(
% 8.13/1.51    spl0_191|spl0_35|~spl0_118|~spl0_66|~spl0_36|~spl0_156),
% 8.13/1.51    inference(split_clause,[status(thm)],[f2320,f2315,f1072,f1605,f1297,f1075,f1852])).
% 8.13/1.51  fof(f2322,plain,(
% 8.13/1.51    ~rline(vd1234)|~rpoint(vd1187)|~rpoint(vd1186)|~ron(vd1186,vd1234)),
% 8.13/1.51    inference(resolution,[status(thm)],[f1263,f762])).
% 8.13/1.51  fof(f2323,plain,(
% 8.13/1.51    ~spl0_36|~spl0_16|~spl0_18|~spl0_65),
% 8.13/1.51    inference(split_clause,[status(thm)],[f2322,f1075,f993,f999,f1294])).
% 8.13/1.51  fof(f2333,plain,(
% 8.13/1.51    spl0_193 <=> ~ron(X0,X1)|~ron(X0,vd1234)|~ron(vd1187,X1)|~rline(X1)|vd1187=X0|~rpoint(X0)|vd1234=X1),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f2334,plain,(
% 8.13/1.51    ![X0,X1]: (~ron(X0,X1)|~ron(X0,vd1234)|~ron(vd1187,X1)|~rline(X1)|vd1187=X0|~rpoint(X0)|vd1234=X1|~spl0_193)),
% 8.13/1.51    inference(component_clause,[status(thm)],[f2333])).
% 8.13/1.51  fof(f2336,plain,(
% 8.13/1.51    ![X0,X1]: (~ron(X0,X1)|~ron(X0,vd1234)|~ron(vd1187,X1)|~rline(X1)|~rline(vd1234)|vd1187=X0|~rpoint(X0)|~rpoint(vd1187)|vd1234=X1|~spl0_35)),
% 8.13/1.51    inference(resolution,[status(thm)],[f1073,f763])).
% 8.13/1.51  fof(f2337,plain,(
% 8.13/1.51    spl0_193|~spl0_36|~spl0_16|~spl0_35),
% 8.13/1.51    inference(split_clause,[status(thm)],[f2336,f2333,f1075,f993,f1072])).
% 8.13/1.51  fof(f2357,plain,(
% 8.13/1.51    ron(vd1186,vd1234)|~spl0_191),
% 8.13/1.51    inference(backward_demodulation,[status(thm)],[f2316,f1272])).
% 8.13/1.51  fof(f2358,plain,(
% 8.13/1.51    $false|spl0_65|~spl0_191),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f2357,f1296])).
% 8.13/1.51  fof(f2359,plain,(
% 8.13/1.51    spl0_65|~spl0_191),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f2358])).
% 8.13/1.51  fof(f2398,plain,(
% 8.13/1.51    ![X0]: (vd1197=X0|ron(vd1187,X0)|~ron(vd1201,X0)|~ron(vd1186,vd1197)|~ron(vd1185,X0)|~ron(vd1185,vd1197)|~rline(X0)|~rline(vd1197)|~rS(vd1186,vd1187,X0)|~spl0_13)),
% 8.13/1.51    inference(resolution,[status(thm)],[f168,f2190])).
% 8.13/1.51  fof(f2399,plain,(
% 8.13/1.51    spl0_156|~spl0_69|~spl0_111|~spl0_70|~spl0_13),
% 8.13/1.51    inference(split_clause,[status(thm)],[f2398,f1852,f1312,f1572,f1315,f984])).
% 8.13/1.51  fof(f2411,plain,(
% 8.13/1.51    spl0_195 <=> rreal(v0)),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f2413,plain,(
% 8.13/1.51    ~rreal(v0)|spl0_195),
% 8.13/1.51    inference(component_clause,[status(thm)],[f2411])).
% 8.13/1.51  fof(f2418,plain,(
% 8.13/1.51    $false|spl0_195),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f2413,f1267])).
% 8.13/1.51  fof(f2419,plain,(
% 8.13/1.51    spl0_195),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f2418])).
% 8.13/1.51  fof(f2453,plain,(
% 8.13/1.51    spl0_201 <=> vd1179=vd1180),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f2454,plain,(
% 8.13/1.51    vd1179=vd1180|~spl0_201),
% 8.13/1.51    inference(component_clause,[status(thm)],[f2453])).
% 8.13/1.51  fof(f2578,plain,(
% 8.13/1.51    $false|~spl0_201),
% 8.13/1.51    inference(forward_subsumption_resolution,[status(thm)],[f2454,f186])).
% 8.13/1.51  fof(f2579,plain,(
% 8.13/1.51    ~spl0_201),
% 8.13/1.51    inference(contradiction_clause,[status(thm)],[f2578])).
% 8.13/1.51  fof(f3354,plain,(
% 8.13/1.51    spl0_325 <=> ~ron(vd1185,X0)|~ron(vd1187,X0)|~rline(X0)|vd1234=X0),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f3355,plain,(
% 8.13/1.51    ![X0]: (~ron(vd1185,X0)|~ron(vd1187,X0)|~rline(X0)|vd1234=X0|~spl0_325)),
% 8.13/1.51    inference(component_clause,[status(thm)],[f3354])).
% 8.13/1.51  fof(f3357,plain,(
% 8.13/1.51    ![X0]: (~ron(vd1185,X0)|~ron(vd1187,X0)|~rline(X0)|vd1187=vd1185|~rpoint(vd1185)|vd1234=X0|~spl0_193)),
% 8.13/1.51    inference(resolution,[status(thm)],[f2334,f162])).
% 8.13/1.51  fof(f3358,plain,(
% 8.13/1.51    spl0_325|spl0_129|~spl0_19|~spl0_193),
% 8.13/1.51    inference(split_clause,[status(thm)],[f3357,f3354,f1707,f1002,f2333])).
% 8.13/1.51  fof(f3378,plain,(
% 8.13/1.51    spl0_331 <=> vd1234=vd1232),
% 8.13/1.51    introduced(split_symbol_definition)).
% 8.13/1.51  fof(f3379,plain,(
% 8.13/1.51    vd1234=vd1232|~spl0_331),
% 8.13/1.51    inference(component_clause,[status(thm)],[f3378])).
% 8.13/1.51  fof(f3387,plain,(
% 8.13/1.51    ~ron(vd1185,vd1232)|~rline(vd1232)|vd1234=vd1232|~spl0_325),
% 8.13/1.51    inference(resolution,[status(thm)],[f3355,f164])).
% 8.13/1.51  fof(f3388,plain,(
% 8.13/1.51    ~spl0_63|~spl0_64|spl0_331|~spl0_325),
% 8.13/1.51    inference(split_clause,[status(thm)],[f3387,f1281,f1284,f3378,f3354])).
% 8.13/1.51  fof(f3390,plain,(
% 8.13/1.51    ~ron(vd1201,vd1234)|~spl0_331),
% 8.13/1.51    inference(backward_demodulation,[status(thm)],[f3379,f155])).
% 8.13/1.51  fof(f3391,plain,(
% 8.13/1.51    ~spl0_118|~spl0_331),
% 8.13/1.51    inference(split_clause,[status(thm)],[f3390,f1605,f3378])).
% 8.13/1.51  fof(f3394,plain,(
% 8.13/1.51    $false),
% 8.13/1.51    inference(sat_refutation,[status(thm)],[f1006,f1116,f1118,f1120,f1122,f1271,f1288,f1290,f1303,f1305,f1326,f1328,f1689,f1691,f1693,f1851,f1879,f1913,f2321,f2323,f2337,f2359,f2399,f2419,f2579,f3358,f3388,f3391])).
% 8.13/1.51  % SZS output end CNFRefutation for theBenchmark.p
% 8.13/1.52  % Elapsed time: 1.205602 seconds
% 8.13/1.52  % CPU time: 8.643591 seconds
% 8.13/1.52  % Memory used: 99.942 MB
%------------------------------------------------------------------------------