TSTP Solution File: GEO298+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO298+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 0.19s 0.53s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO298+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 01:36:03 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.19/0.37  % Drodi V3.6.0
% 0.19/0.53  % Refutation found
% 0.19/0.53  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.53  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53  fof(f1,conjecture,(
% 0.19/0.53    ( rR(vd1201,vd1185,vd1187)| rR(vd1187,vd1185,vd1201) ) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f2,negated_conjecture,(
% 0.19/0.53    ~(( rR(vd1201,vd1185,vd1187)| rR(vd1187,vd1185,vd1201) ) )),
% 0.19/0.53    inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.53  fof(f3,axiom,(
% 0.19/0.53    vd1201 != vd1187 ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f4,axiom,(
% 0.19/0.53    ~ rR(vd1185,vd1201,vd1187) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f6,axiom,(
% 0.19/0.53    (! [Vd396,Vd397,Vd398,Vd403,Vd404] :( ( Vd403 = Vd404& ron(Vd398,Vd403)& ron(Vd397,Vd403)& ron(Vd396,Vd403)& rline(Vd404)& Vd397 != Vd398& Vd396 != Vd398& Vd396 != Vd397& (? [Vd402] :( Vd398 = Vd402& rpoint(Vd402) ))& (? [Vd401] :( Vd397 = Vd401& rpoint(Vd401) ))& (? [Vd400] :( Vd396 = Vd400& rpoint(Vd400) ) ))=> ( rR(Vd397,Vd396,Vd398)| rR(Vd396,Vd397,Vd398)| rR(Vd398,Vd396,Vd397) ) ) )),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f7,axiom,(
% 0.19/0.53    rS(vd1201,vd1187,vd1197) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f8,axiom,(
% 0.19/0.53    ron(vd1187,vd1232) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f9,axiom,(
% 0.19/0.53    ron(vd1185,vd1197) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f10,axiom,(
% 0.19/0.53    (? [Vd1205] :( vd1201 = Vd1205& rpoint(Vd1205) ) )),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f11,axiom,(
% 0.19/0.53    rline(vd1197) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f12,axiom,(
% 0.19/0.53    ( ~ (? [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) ) )) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f14,axiom,(
% 0.19/0.53    ron(vd1201,vd1232) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f29,axiom,(
% 0.19/0.53    ron(vd1185,vd1232) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f38,axiom,(
% 0.19/0.53    rS(vd1187,vd1201,vd1197) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f43,axiom,(
% 0.19/0.53    rline(vd1232) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f45,axiom,(
% 0.19/0.53    vd1199 = vd1185 ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f51,axiom,(
% 0.19/0.53    ron(vd1199,vd1197) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f61,axiom,(
% 0.19/0.53    (! [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) ) )),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f160,plain,(
% 0.19/0.53    (~rR(vd1201,vd1185,vd1187)&~rR(vd1187,vd1185,vd1201))),
% 0.19/0.53    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.53  fof(f161,plain,(
% 0.19/0.53    ~rR(vd1201,vd1185,vd1187)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f160])).
% 0.19/0.53  fof(f162,plain,(
% 0.19/0.53    ~rR(vd1187,vd1185,vd1201)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f160])).
% 0.19/0.53  fof(f163,plain,(
% 0.19/0.53    ~vd1201=vd1187),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.53  fof(f164,plain,(
% 0.19/0.53    ~rR(vd1185,vd1201,vd1187)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.53  fof(f166,plain,(
% 0.19/0.53    ![Vd396,Vd397,Vd398,Vd403,Vd404]: (((((((((((~Vd403=Vd404|~ron(Vd398,Vd403))|~ron(Vd397,Vd403))|~ron(Vd396,Vd403))|~rline(Vd404))|Vd397=Vd398)|Vd396=Vd398)|Vd396=Vd397)|(![Vd402]: (~Vd398=Vd402|~rpoint(Vd402))))|(![Vd401]: (~Vd397=Vd401|~rpoint(Vd401))))|(![Vd400]: (~Vd396=Vd400|~rpoint(Vd400))))|((rR(Vd397,Vd396,Vd398)|rR(Vd396,Vd397,Vd398))|rR(Vd398,Vd396,Vd397)))),
% 0.19/0.54    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.19/0.54  fof(f167,plain,(
% 0.19/0.54    ![Vd396,Vd397,Vd398]: ((((((((![Vd404]: ((![Vd403]: (((~Vd403=Vd404|~ron(Vd398,Vd403))|~ron(Vd397,Vd403))|~ron(Vd396,Vd403)))|~rline(Vd404)))|Vd397=Vd398)|Vd396=Vd398)|Vd396=Vd397)|(![Vd402]: (~Vd398=Vd402|~rpoint(Vd402))))|(![Vd401]: (~Vd397=Vd401|~rpoint(Vd401))))|(![Vd400]: (~Vd396=Vd400|~rpoint(Vd400))))|((rR(Vd397,Vd396,Vd398)|rR(Vd396,Vd397,Vd398))|rR(Vd398,Vd396,Vd397)))),
% 0.19/0.54    inference(miniscoping,[status(esa)],[f166])).
% 0.19/0.54  fof(f168,plain,(
% 0.19/0.54    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~X0=X1|~ron(X2,X0)|~ron(X3,X0)|~ron(X4,X0)|~rline(X1)|X3=X2|X4=X2|X4=X3|~X2=X5|~rpoint(X5)|~X3=X6|~rpoint(X6)|~X4=X7|~rpoint(X7)|rR(X3,X4,X2)|rR(X4,X3,X2)|rR(X2,X4,X3))),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f167])).
% 0.19/0.54  fof(f169,plain,(
% 0.19/0.54    rS(vd1201,vd1187,vd1197)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.54  fof(f170,plain,(
% 0.19/0.54    ron(vd1187,vd1232)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.54  fof(f171,plain,(
% 0.19/0.54    ron(vd1185,vd1197)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.54  fof(f172,plain,(
% 0.19/0.54    (vd1201=sk0_0&rpoint(sk0_0))),
% 0.19/0.54    inference(skolemization,[status(esa)],[f10])).
% 0.19/0.54  fof(f173,plain,(
% 0.19/0.54    vd1201=sk0_0),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f172])).
% 0.19/0.54  fof(f174,plain,(
% 0.19/0.54    rpoint(sk0_0)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f172])).
% 0.19/0.54  fof(f175,plain,(
% 0.19/0.54    rline(vd1197)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.54  fof(f176,plain,(
% 0.19/0.54    ((((((((((((![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)))),
% 0.19/0.54    inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.19/0.54  fof(f177,plain,(
% 0.19/0.54    ((((((((((((![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))),
% 0.19/0.54    inference(skolemization,[status(esa)],[f176])).
% 0.19/0.54  fof(f182,plain,(
% 0.19/0.54    vd1187=sk0_1),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f177])).
% 0.19/0.54  fof(f183,plain,(
% 0.19/0.54    rpoint(sk0_1)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f177])).
% 0.19/0.54  fof(f186,plain,(
% 0.19/0.54    vd1185=sk0_3),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f177])).
% 0.19/0.54  fof(f187,plain,(
% 0.19/0.54    rpoint(sk0_3)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f177])).
% 0.19/0.54  fof(f200,plain,(
% 0.19/0.54    ron(vd1201,vd1232)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.54  fof(f219,plain,(
% 0.19/0.54    ron(vd1185,vd1232)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.54  fof(f233,plain,(
% 0.19/0.54    rS(vd1187,vd1201,vd1197)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.54  fof(f238,plain,(
% 0.19/0.54    rline(vd1232)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.54  fof(f240,plain,(
% 0.19/0.54    vd1199=vd1185),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f45])).
% 0.19/0.54  fof(f250,plain,(
% 0.19/0.54    ron(vd1199,vd1197)),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f51])).
% 0.19/0.54  fof(f279,plain,(
% 0.19/0.54    ![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))),
% 0.19/0.54    inference(pre_NNF_transformation,[status(esa)],[f61])).
% 0.19/0.54  fof(f280,plain,(
% 0.19/0.54    ![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))),
% 0.19/0.54    inference(miniscoping,[status(esa)],[f279])).
% 0.19/0.54  fof(f281,plain,(
% 0.19/0.54    ![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))),
% 0.19/0.54    inference(cnf_transformation,[status(esa)],[f280])).
% 0.19/0.54  fof(f789,plain,(
% 0.19/0.54    ![X0,X1,X2,X3]: (~ron(X0,X1)|~ron(X2,X1)|~ron(X3,X1)|~rline(X1)|X2=X0|X3=X0|X3=X2|~rpoint(X0)|~rpoint(X2)|~rpoint(X3)|rR(X2,X3,X0)|rR(X3,X2,X0)|rR(X0,X3,X2))),
% 0.19/0.54    inference(destructive_equality_resolution,[status(esa)],[f168])).
% 0.19/0.54  fof(f806,plain,(
% 0.19/0.54    ![X0,X1,X2]: (~rS(X0,X1,X2)|~rline(X2)|~rpoint(X1)|~rpoint(X0)|~ron(X0,X2))),
% 0.19/0.54    inference(destructive_equality_resolution,[status(esa)],[f281])).
% 0.19/0.54  fof(f1008,plain,(
% 0.19/0.54    spl0_14 <=> ~ron(X0,vd1232)|~ron(X1,vd1232)|X0=vd1187|X1=vd1187|X1=X0|~rpoint(X0)|~rpoint(X1)|rR(X0,X1,vd1187)|rR(X1,X0,vd1187)|rR(vd1187,X1,X0)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1009,plain,(
% 0.19/0.54    ![X0,X1]: (~ron(X0,vd1232)|~ron(X1,vd1232)|X0=vd1187|X1=vd1187|X1=X0|~rpoint(X0)|~rpoint(X1)|rR(X0,X1,vd1187)|rR(X1,X0,vd1187)|rR(vd1187,X1,X0)|~spl0_14)),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1008])).
% 0.19/0.54  fof(f1011,plain,(
% 0.19/0.54    spl0_15 <=> rline(vd1232)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1013,plain,(
% 0.19/0.54    ~rline(vd1232)|spl0_15),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1011])).
% 0.19/0.54  fof(f1014,plain,(
% 0.19/0.54    spl0_16 <=> rpoint(vd1187)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1016,plain,(
% 0.19/0.54    ~rpoint(vd1187)|spl0_16),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1014])).
% 0.19/0.54  fof(f1017,plain,(
% 0.19/0.54    ![X0,X1]: (~ron(X0,vd1232)|~ron(X1,vd1232)|~rline(vd1232)|X0=vd1187|X1=vd1187|X1=X0|~rpoint(vd1187)|~rpoint(X0)|~rpoint(X1)|rR(X0,X1,vd1187)|rR(X1,X0,vd1187)|rR(vd1187,X1,X0))),
% 0.19/0.54    inference(resolution,[status(thm)],[f170,f789])).
% 0.19/0.54  fof(f1018,plain,(
% 0.19/0.54    spl0_14|~spl0_15|~spl0_16),
% 0.19/0.54    inference(split_clause,[status(thm)],[f1017,f1008,f1011,f1014])).
% 0.19/0.54  fof(f1029,plain,(
% 0.19/0.54    rpoint(vd1201)),
% 0.19/0.54    inference(forward_demodulation,[status(thm)],[f173,f174])).
% 0.19/0.54  fof(f1040,plain,(
% 0.19/0.54    rpoint(vd1187)),
% 0.19/0.54    inference(forward_demodulation,[status(thm)],[f182,f183])).
% 0.19/0.54  fof(f1041,plain,(
% 0.19/0.54    $false|spl0_16),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1040,f1016])).
% 0.19/0.54  fof(f1042,plain,(
% 0.19/0.54    spl0_16),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1041])).
% 0.19/0.54  fof(f1047,plain,(
% 0.19/0.54    spl0_20 <=> rline(vd1197)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1049,plain,(
% 0.19/0.54    ~rline(vd1197)|spl0_20),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1047])).
% 0.19/0.54  fof(f1050,plain,(
% 0.19/0.54    spl0_21 <=> rpoint(vd1185)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1052,plain,(
% 0.19/0.54    ~rpoint(vd1185)|spl0_21),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1050])).
% 0.19/0.54  fof(f1065,plain,(
% 0.19/0.54    rpoint(vd1185)),
% 0.19/0.54    inference(forward_demodulation,[status(thm)],[f186,f187])).
% 0.19/0.54  fof(f1066,plain,(
% 0.19/0.54    $false|spl0_21),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1065,f1052])).
% 0.19/0.54  fof(f1067,plain,(
% 0.19/0.54    spl0_21),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1066])).
% 0.19/0.54  fof(f1073,plain,(
% 0.19/0.54    $false|spl0_15),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f238,f1013])).
% 0.19/0.54  fof(f1074,plain,(
% 0.19/0.54    spl0_15),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1073])).
% 0.19/0.54  fof(f1090,plain,(
% 0.19/0.54    $false|spl0_20),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f175,f1049])).
% 0.19/0.54  fof(f1091,plain,(
% 0.19/0.54    spl0_20),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1090])).
% 0.19/0.54  fof(f1106,plain,(
% 0.19/0.54    spl0_30 <=> ~ron(X0,vd1232)|X0=vd1187|X0=vd1201|~rpoint(X0)|rR(vd1201,X0,vd1187)|rR(X0,vd1201,vd1187)|rR(vd1187,X0,vd1201)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1107,plain,(
% 0.19/0.54    ![X0]: (~ron(X0,vd1232)|X0=vd1187|X0=vd1201|~rpoint(X0)|rR(vd1201,X0,vd1187)|rR(X0,vd1201,vd1187)|rR(vd1187,X0,vd1201)|~spl0_30)),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1106])).
% 0.19/0.54  fof(f1109,plain,(
% 0.19/0.54    spl0_31 <=> vd1201=vd1187),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1110,plain,(
% 0.19/0.54    vd1201=vd1187|~spl0_31),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1109])).
% 0.19/0.54  fof(f1112,plain,(
% 0.19/0.54    spl0_32 <=> rpoint(vd1201)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1114,plain,(
% 0.19/0.54    ~rpoint(vd1201)|spl0_32),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1112])).
% 0.19/0.54  fof(f1115,plain,(
% 0.19/0.54    ![X0]: (~ron(X0,vd1232)|vd1201=vd1187|X0=vd1187|X0=vd1201|~rpoint(vd1201)|~rpoint(X0)|rR(vd1201,X0,vd1187)|rR(X0,vd1201,vd1187)|rR(vd1187,X0,vd1201)|~spl0_14)),
% 0.19/0.54    inference(resolution,[status(thm)],[f200,f1009])).
% 0.19/0.54  fof(f1116,plain,(
% 0.19/0.54    spl0_30|spl0_31|~spl0_32|~spl0_14),
% 0.19/0.54    inference(split_clause,[status(thm)],[f1115,f1106,f1109,f1112,f1008])).
% 0.19/0.54  fof(f1132,plain,(
% 0.19/0.54    $false|spl0_32),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1114,f1029])).
% 0.19/0.54  fof(f1133,plain,(
% 0.19/0.54    spl0_32),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1132])).
% 0.19/0.54  fof(f1156,plain,(
% 0.19/0.54    $false|~spl0_31),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1110,f163])).
% 0.19/0.54  fof(f1157,plain,(
% 0.19/0.54    ~spl0_31),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1156])).
% 0.19/0.54  fof(f1254,plain,(
% 0.19/0.54    spl0_55 <=> vd1185=vd1201),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1255,plain,(
% 0.19/0.54    vd1185=vd1201|~spl0_55),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1254])).
% 0.19/0.54  fof(f1257,plain,(
% 0.19/0.54    spl0_56 <=> vd1185=vd1187),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1258,plain,(
% 0.19/0.54    vd1185=vd1187|~spl0_56),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1257])).
% 0.19/0.54  fof(f1260,plain,(
% 0.19/0.54    spl0_57 <=> rR(vd1187,vd1185,vd1201)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1261,plain,(
% 0.19/0.54    rR(vd1187,vd1185,vd1201)|~spl0_57),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1260])).
% 0.19/0.54  fof(f1266,plain,(
% 0.19/0.54    spl0_59 <=> rR(vd1201,vd1185,vd1187)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1267,plain,(
% 0.19/0.54    rR(vd1201,vd1185,vd1187)|~spl0_59),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1266])).
% 0.19/0.54  fof(f1276,plain,(
% 0.19/0.54    spl0_61 <=> rR(vd1185,vd1201,vd1187)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1277,plain,(
% 0.19/0.54    rR(vd1185,vd1201,vd1187)|~spl0_61),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1276])).
% 0.19/0.54  fof(f1279,plain,(
% 0.19/0.54    vd1185=vd1187|vd1185=vd1201|~rpoint(vd1185)|rR(vd1201,vd1185,vd1187)|rR(vd1185,vd1201,vd1187)|rR(vd1187,vd1185,vd1201)|~spl0_30),
% 0.19/0.54    inference(resolution,[status(thm)],[f219,f1107])).
% 0.19/0.54  fof(f1280,plain,(
% 0.19/0.54    spl0_56|spl0_55|~spl0_21|spl0_59|spl0_61|spl0_57|~spl0_30),
% 0.19/0.54    inference(split_clause,[status(thm)],[f1279,f1257,f1254,f1050,f1266,f1276,f1260,f1106])).
% 0.19/0.54  fof(f1315,plain,(
% 0.19/0.54    ron(vd1201,vd1197)|~spl0_55),
% 0.19/0.54    inference(backward_demodulation,[status(thm)],[f1255,f171])).
% 0.19/0.54  fof(f1390,plain,(
% 0.19/0.54    spl0_75 <=> ron(vd1201,vd1197)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1392,plain,(
% 0.19/0.54    ~ron(vd1201,vd1197)|spl0_75),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1390])).
% 0.19/0.54  fof(f1393,plain,(
% 0.19/0.54    ~rline(vd1197)|~rpoint(vd1187)|~rpoint(vd1201)|~ron(vd1201,vd1197)),
% 0.19/0.54    inference(resolution,[status(thm)],[f806,f169])).
% 0.19/0.54  fof(f1394,plain,(
% 0.19/0.54    ~spl0_20|~spl0_16|~spl0_32|~spl0_75),
% 0.19/0.54    inference(split_clause,[status(thm)],[f1393,f1047,f1014,f1112,f1390])).
% 0.19/0.54  fof(f1395,plain,(
% 0.19/0.54    $false|~spl0_55|spl0_75),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1392,f1315])).
% 0.19/0.54  fof(f1396,plain,(
% 0.19/0.54    ~spl0_55|spl0_75),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1395])).
% 0.19/0.54  fof(f1397,plain,(
% 0.19/0.54    rS(vd1185,vd1201,vd1197)|~spl0_56),
% 0.19/0.54    inference(backward_demodulation,[status(thm)],[f1258,f233])).
% 0.19/0.54  fof(f1424,plain,(
% 0.19/0.54    ron(vd1185,vd1197)),
% 0.19/0.54    inference(forward_demodulation,[status(thm)],[f240,f250])).
% 0.19/0.54  fof(f1455,plain,(
% 0.19/0.54    spl0_79 <=> ron(vd1185,vd1197)),
% 0.19/0.54    introduced(split_symbol_definition)).
% 0.19/0.54  fof(f1457,plain,(
% 0.19/0.54    ~ron(vd1185,vd1197)|spl0_79),
% 0.19/0.54    inference(component_clause,[status(thm)],[f1455])).
% 0.19/0.54  fof(f1458,plain,(
% 0.19/0.54    ~rline(vd1197)|~rpoint(vd1201)|~rpoint(vd1185)|~ron(vd1185,vd1197)|~spl0_56),
% 0.19/0.54    inference(resolution,[status(thm)],[f1397,f806])).
% 0.19/0.54  fof(f1459,plain,(
% 0.19/0.54    ~spl0_20|~spl0_32|~spl0_21|~spl0_79|~spl0_56),
% 0.19/0.54    inference(split_clause,[status(thm)],[f1458,f1047,f1112,f1050,f1455,f1257])).
% 0.19/0.54  fof(f1460,plain,(
% 0.19/0.54    $false|spl0_79),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1457,f1424])).
% 0.19/0.54  fof(f1461,plain,(
% 0.19/0.54    spl0_79),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1460])).
% 0.19/0.54  fof(f1738,plain,(
% 0.19/0.54    $false|~spl0_57),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f162,f1261])).
% 0.19/0.54  fof(f1739,plain,(
% 0.19/0.54    ~spl0_57),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1738])).
% 0.19/0.54  fof(f1740,plain,(
% 0.19/0.54    $false|~spl0_59),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f1267,f161])).
% 0.19/0.54  fof(f1741,plain,(
% 0.19/0.54    ~spl0_59),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1740])).
% 0.19/0.54  fof(f1809,plain,(
% 0.19/0.54    $false|~spl0_61),
% 0.19/0.54    inference(forward_subsumption_resolution,[status(thm)],[f164,f1277])).
% 0.19/0.54  fof(f1810,plain,(
% 0.19/0.54    ~spl0_61),
% 0.19/0.54    inference(contradiction_clause,[status(thm)],[f1809])).
% 0.19/0.54  fof(f1811,plain,(
% 0.19/0.54    $false),
% 0.19/0.54    inference(sat_refutation,[status(thm)],[f1018,f1042,f1067,f1074,f1091,f1116,f1133,f1157,f1280,f1394,f1396,f1459,f1461,f1739,f1741,f1810])).
% 0.19/0.54  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.54  % Elapsed time: 0.189123 seconds
% 0.19/0.54  % CPU time: 1.258572 seconds
% 0.19/0.54  % Total memory used: 84.519 MB
% 0.19/0.54  % Net memory used: 83.909 MB
%------------------------------------------------------------------------------