%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:10:50 PM UTC 2026
% Result : Theorem 4.67s 1.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 14:22:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 4.67/1.11 % Refutation found
% 4.67/1.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.67/1.11 % SZS output start CNFRefutation for theBenchmark
% 4.67/1.11 fof(f1,axiom,(
% 4.67/1.11 (! [VVar0,VVar1] :( ( vvar(VVar0) = vvar(VVar1)=> VVar0 = VVar1 )& ( VVar0 = VVar1=> vvar(VVar0) = vvar(VVar1) ) ) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f4,axiom,(
% 4.67/1.11 (! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f5,axiom,(
% 4.67/1.11 (! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f10,axiom,(
% 4.67/1.11 (! [VVar0,VExp0,Vx,Vv] :( ( VVar0 = Vv& VExp0 = vvar(Vx) )=> ( ( Vx = Vv=> visFreeVar(VVar0,VExp0) )& ( visFreeVar(VVar0,VExp0)=> Vx = Vv ) ) ) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f24,axiom,(
% 4.67/1.11 (! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :( ( VVar0 = Vx& VCtx0 = vbind(Vy,VTy,VC) )=> ( Vx != Vy=> ( RESULT = vlookup(VVar0,VCtx0)=> RESULT = vlookup(Vx,VC) ) ) ) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f51,axiom,(
% 4.67/1.11 (! [VC,Vx,VT] :( vlookup(Vx,VC) = vsomeType(VT)=> vtcheck(VC,vvar(Vx),VT) ) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f54,axiom,(
% 4.67/1.11 (! [Ve,VT,VC] :( vtcheck(VC,Ve,VT)=> ( (? [Vx] :( Ve = vvar(Vx)& vlookup(Vx,VC) = vsomeType(VT) ))| (? [Vx,Ve2,VT1,VT2] :( Ve = vabs(Vx,VT1,Ve2)& VT = varrow(VT1,VT2)& vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ))| (? [Ve1,Ve2,VS] :( Ve = vapp(Ve1,Ve2)& vtcheck(VC,Ve1,varrow(VS,VT))& vtcheck(VC,Ve2,VS) ) )) ) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f57,conjecture,(
% 4.67/1.11 (! [Vx,VS,VC,Vy,VT] :( ( ~ visFreeVar(Vx,vvar(Vy))& vtcheck(VC,vvar(Vy),VT) )=> vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) ) )),
% 4.67/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.67/1.11 fof(f58,negated_conjecture,(
% 4.67/1.11 ~((! [Vx,VS,VC,Vy,VT] :( ( ~ visFreeVar(Vx,vvar(Vy))& vtcheck(VC,vvar(Vy),VT) )=> vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) ) ))),
% 4.67/1.11 inference(negated_conjecture,[status(cth)],[f57])).
% 4.67/1.11 fof(f59,plain,(
% 4.67/1.11 ![VVar0,VVar1]: ((~vvar(VVar0)=vvar(VVar1)|VVar0=VVar1)&(~VVar0=VVar1|vvar(VVar0)=vvar(VVar1)))),
% 4.67/1.11 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 4.67/1.11 fof(f60,plain,(
% 4.67/1.11 (![VVar0,VVar1]: (~vvar(VVar0)=vvar(VVar1)|VVar0=VVar1))&(![VVar0,VVar1]: (~VVar0=VVar1|vvar(VVar0)=vvar(VVar1)))),
% 4.67/1.11 inference(miniscoping,[status(thm)],[f59])).
% 4.67/1.11 fof(f61,plain,(
% 4.67/1.11 ![X0,X1]: (~vvar(X0)=vvar(X1)|X0=X1)),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f60])).
% 4.67/1.11 fof(f74,plain,(
% 4.67/1.11 ![X0,X1,X2,X3]: (~vvar(X0)=vabs(X1,X2,X3))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f4])).
% 4.67/1.11 fof(f75,plain,(
% 4.67/1.11 ![X0,X1,X2]: (~vvar(X0)=vapp(X1,X2))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f5])).
% 4.67/1.11 fof(f86,plain,(
% 4.67/1.11 ![VVar0,VExp0,Vx,Vv]: ((~VVar0=Vv|~VExp0=vvar(Vx))|((~Vx=Vv|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|Vx=Vv)))),
% 4.67/1.11 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 4.67/1.11 fof(f87,plain,(
% 4.67/1.11 ![X0,X1,X2,X3]: (~X0=X1|~X2=vvar(X3)|~X3=X1|visFreeVar(X0,X2))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f86])).
% 4.67/1.11 fof(f130,plain,(
% 4.67/1.11 ![VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC]: ((~VVar0=Vx|~VCtx0=vbind(Vy,VTy,VC))|(Vx=Vy|(~RESULT=vlookup(VVar0,VCtx0)|RESULT=vlookup(Vx,VC))))),
% 4.67/1.11 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 4.67/1.11 fof(f131,plain,(
% 4.67/1.11 ![Vy,VVar0,VCtx0,Vx,VC]: ((~VVar0=Vx|(![VTy]: ~VCtx0=vbind(Vy,VTy,VC)))|(Vx=Vy|(![RESULT]: (~RESULT=vlookup(VVar0,VCtx0)|RESULT=vlookup(Vx,VC)))))),
% 4.67/1.11 inference(miniscoping,[status(thm)],[f130])).
% 4.67/1.11 fof(f132,plain,(
% 4.67/1.11 ![X0,X1,X2,X3,X4,X5,X6]: (~X0=X1|~X2=vbind(X3,X4,X5)|X1=X3|~X6=vlookup(X0,X2)|X6=vlookup(X1,X5))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f131])).
% 4.67/1.11 fof(f231,plain,(
% 4.67/1.11 ![VC,Vx,VT]: (~vlookup(Vx,VC)=vsomeType(VT)|vtcheck(VC,vvar(Vx),VT))),
% 4.67/1.11 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 4.67/1.11 fof(f232,plain,(
% 4.67/1.11 ![X0,X1,X2]: (~vlookup(X0,X1)=vsomeType(X2)|vtcheck(X1,vvar(X0),X2))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f231])).
% 4.67/1.11 fof(f238,plain,(
% 4.67/1.11 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(((?[Vx]: (Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))|(?[Vx,Ve2,VT1,VT2]: ((Ve=vabs(Vx,VT1,Ve2)&VT=varrow(VT1,VT2))&vtcheck(vbind(Vx,VT1,VC),Ve2,VT2))))|(?[Ve1,Ve2,VS]: ((Ve=vapp(Ve1,Ve2)&vtcheck(VC,Ve1,varrow(VS,VT)))&vtcheck(VC,Ve2,VS)))))),
% 4.67/1.11 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 4.67/1.11 fof(f239,definition,(
% 4.67/1.11 ![Ve,VT,VC]: (sP3_prd(VC,VT,Ve)<=>((?[Vx]: (Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))|(?[Vx,Ve2,VT1,VT2]: ((Ve=vabs(Vx,VT1,Ve2)&VT=varrow(VT1,VT2))&vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)))))),
% 4.67/1.11 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 4.67/1.11 fof(f240,plain,(
% 4.67/1.11 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(sP3_prd(VC,VT,Ve)|(?[Ve1,Ve2,VS]: ((Ve=vapp(Ve1,Ve2)&vtcheck(VC,Ve1,varrow(VS,VT)))&vtcheck(VC,Ve2,VS)))))),
% 4.67/1.11 inference(formula_renaming,[status(thm)],[f238,f239])).
% 4.67/1.11 fof(f241,plain,(
% 4.67/1.11 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(sP3_prd(VC,VT,Ve)|(?[Ve2,VS]: ((?[Ve1]: (Ve=vapp(Ve1,Ve2)&vtcheck(VC,Ve1,varrow(VS,VT))))&vtcheck(VC,Ve2,VS)))))),
% 4.67/1.11 inference(miniscoping,[status(thm)],[f240])).
% 4.67/1.11 fof(f242,plain,(
% 4.67/1.11 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(sP3_prd(VC,VT,Ve)|((Ve=vapp(sK20_skl(VC,VT,Ve),sK18_skl(VC,VT,Ve))&vtcheck(VC,sK20_skl(VC,VT,Ve),varrow(sK19_skl(VC,VT,Ve),VT)))&vtcheck(VC,sK18_skl(VC,VT,Ve),sK19_skl(VC,VT,Ve)))))),
% 4.67/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl]),skolemize(Ve2,sK18_skl(VC,VT,Ve)),skolemize(VS,sK19_skl(VC,VT,Ve)),skolemize(Ve1,sK20_skl(VC,VT,Ve))],[f241])).
% 4.67/1.11 fof(f243,plain,(
% 4.67/1.11 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|sP3_prd(X0,X2,X1)|X1=vapp(sK20_skl(X0,X2,X1),sK18_skl(X0,X2,X1)))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f242])).
% 4.67/1.11 fof(f252,plain,(
% 4.67/1.11 (?[Vx,VS,VC,Vy,VT]: ((~visFreeVar(Vx,vvar(Vy))&vtcheck(VC,vvar(Vy),VT))&~vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)))),
% 4.67/1.11 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 4.67/1.11 fof(f253,plain,(
% 4.67/1.11 ?[Vx,VC,Vy,VT]: ((~visFreeVar(Vx,vvar(Vy))&vtcheck(VC,vvar(Vy),VT))&(?[VS]: ~vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)))),
% 4.67/1.11 inference(miniscoping,[status(thm)],[f252])).
% 4.67/1.11 fof(f254,plain,(
% 4.67/1.11 ((~visFreeVar(sK21_skl,vvar(sK23_skl))&vtcheck(sK22_skl,vvar(sK23_skl),sK24_skl))&~vtcheck(vbind(sK21_skl,sK25_skl,sK22_skl),vvar(sK23_skl),sK24_skl))),
% 4.67/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(Vx,sK21_skl),skolemize(VC,sK22_skl),skolemize(Vy,sK23_skl),skolemize(VT,sK24_skl),skolemize(VS,sK25_skl)],[f253])).
% 4.67/1.11 fof(f255,plain,(
% 4.67/1.11 ~visFreeVar(sK21_skl,vvar(sK23_skl))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f254])).
% 4.67/1.11 fof(f256,plain,(
% 4.67/1.11 vtcheck(sK22_skl,vvar(sK23_skl),sK24_skl)),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f254])).
% 4.67/1.11 fof(f257,plain,(
% 4.67/1.11 ~vtcheck(vbind(sK21_skl,sK25_skl,sK22_skl),vvar(sK23_skl),sK24_skl)),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f254])).
% 4.67/1.11 fof(f295,definition,(
% 4.67/1.11 ![Ve,VT,VC,Vx]: (sP7_prd(Vx,VC,VT,Ve)<=>(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))),
% 4.67/1.11 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 4.67/1.11 fof(f296,plain,(
% 4.67/1.11 ![Ve,VT,VC]: (sP3_prd(VC,VT,Ve)<=>((?[Vx]: sP7_prd(Vx,VC,VT,Ve))|(?[Vx,Ve2,VT1,VT2]: ((Ve=vabs(Vx,VT1,Ve2)&VT=varrow(VT1,VT2))&vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)))))),
% 4.67/1.11 inference(formula_renaming,[status(thm)],[f239,f295])).
% 4.67/1.11 fof(f297,plain,(
% 4.67/1.11 ![Ve,VT,VC]: ((~sP3_prd(VC,VT,Ve)|((?[Vx]: sP7_prd(Vx,VC,VT,Ve))|(?[Vx,Ve2,VT1,VT2]: ((Ve=vabs(Vx,VT1,Ve2)&VT=varrow(VT1,VT2))&vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)))))&(sP3_prd(VC,VT,Ve)|((![Vx]: ~sP7_prd(Vx,VC,VT,Ve))&(![Vx,Ve2,VT1,VT2]: ((~Ve=vabs(Vx,VT1,Ve2)|~VT=varrow(VT1,VT2))|~vtcheck(vbind(Vx,VT1,VC),Ve2,VT2))))))),
% 4.67/1.11 inference(NNF_transformation,[status(thm)],[f296])).
% 4.67/1.11 fof(f298,plain,(
% 4.67/1.11 (![Ve,VT,VC]: (~sP3_prd(VC,VT,Ve)|((?[Vx]: sP7_prd(Vx,VC,VT,Ve))|(?[Vx,Ve2,VT1,VT2]: ((Ve=vabs(Vx,VT1,Ve2)&VT=varrow(VT1,VT2))&vtcheck(vbind(Vx,VT1,VC),Ve2,VT2))))))&(![Ve,VT,VC]: (sP3_prd(VC,VT,Ve)|((![Vx]: ~sP7_prd(Vx,VC,VT,Ve))&(![Vx,Ve2,VT1,VT2]: ((~Ve=vabs(Vx,VT1,Ve2)|~VT=varrow(VT1,VT2))|~vtcheck(vbind(Vx,VT1,VC),Ve2,VT2))))))),
% 4.67/1.11 inference(miniscoping,[status(thm)],[f297])).
% 4.67/1.11 fof(f299,plain,(
% 4.67/1.11 (![Ve,VT,VC]: (~sP3_prd(VC,VT,Ve)|(sP7_prd(sK43_skl(VC,VT,Ve),VC,VT,Ve)|((Ve=vabs(sK44_skl(VC,VT,Ve),sK46_skl(VC,VT,Ve),sK45_skl(VC,VT,Ve))&VT=varrow(sK46_skl(VC,VT,Ve),sK47_skl(VC,VT,Ve)))&vtcheck(vbind(sK44_skl(VC,VT,Ve),sK46_skl(VC,VT,Ve),VC),sK45_skl(VC,VT,Ve),sK47_skl(VC,VT,Ve))))))&(![Ve,VT,VC]: (sP3_prd(VC,VT,Ve)|((![Vx]: ~sP7_prd(Vx,VC,VT,Ve))&(![Vx,Ve2,VT1,VT2]: ((~Ve=vabs(Vx,VT1,Ve2)|~VT=varrow(VT1,VT2))|~vtcheck(vbind(Vx,VT1,VC),Ve2,VT2))))))),
% 4.67/1.11 inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl]),skolemize(Vx,sK43_skl(VC,VT,Ve)),skolemize(Vx,sK44_skl(VC,VT,Ve)),skolemize(Ve2,sK45_skl(VC,VT,Ve)),skolemize(VT1,sK46_skl(VC,VT,Ve)),skolemize(VT2,sK47_skl(VC,VT,Ve))],[f298])).
% 4.67/1.11 fof(f300,plain,(
% 4.67/1.11 ![X0,X1,X2]: (~sP3_prd(X0,X1,X2)|sP7_prd(sK43_skl(X0,X1,X2),X0,X1,X2)|X2=vabs(sK44_skl(X0,X1,X2),sK46_skl(X0,X1,X2),sK45_skl(X0,X1,X2)))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f299])).
% 4.67/1.11 fof(f335,plain,(
% 4.67/1.11 ![Ve,VT,VC,Vx]: ((~sP7_prd(Vx,VC,VT,Ve)|(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))&(sP7_prd(Vx,VC,VT,Ve)|(~Ve=vvar(Vx)|~vlookup(Vx,VC)=vsomeType(VT))))),
% 4.67/1.11 inference(NNF_transformation,[status(thm)],[f295])).
% 4.67/1.11 fof(f336,plain,(
% 4.67/1.11 (![Ve,VT,VC,Vx]: (~sP7_prd(Vx,VC,VT,Ve)|(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT))))&(![Ve,VT,VC,Vx]: (sP7_prd(Vx,VC,VT,Ve)|(~Ve=vvar(Vx)|~vlookup(Vx,VC)=vsomeType(VT))))),
% 4.67/1.11 inference(miniscoping,[status(thm)],[f335])).
% 4.67/1.11 fof(f337,plain,(
% 4.67/1.11 ![X0,X1,X2,X3]: (~sP7_prd(X0,X1,X2,X3)|X3=vvar(X0))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f336])).
% 4.67/1.11 fof(f338,plain,(
% 4.67/1.11 ![X0,X1,X2,X3]: (~sP7_prd(X0,X1,X2,X3)|vlookup(X0,X1)=vsomeType(X2))),
% 4.67/1.11 inference(cnf_transformation,[status(thm)],[f336])).
% 4.67/1.11 fof(f406,plain,(
% 4.67/1.11 ![X0]: (visFreeVar(X0,vvar(X0)))),
% 4.67/1.11 inference(destructive_equality_resolution,[status(thm)],[f87])).
% 4.67/1.11 fof(f419,plain,(
% 4.67/1.11 ![X0,X1,X2,X3]: (X0=X1|vlookup(X0,vbind(X1,X2,X3))=vlookup(X0,X3))),
% 4.67/1.11 inference(destructive_equality_resolution,[status(thm)],[f132])).
% 4.67/1.11 fof(f1158,definition,(
% 4.67/1.11 sQ23_spl <=> (sK23_skl=sK21_skl)),
% 4.67/1.11 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 4.67/1.11 fof(f1159,plain,(
% 4.67/1.11 sK23_skl=sK21_skl|~sQ23_spl),
% 4.67/1.11 inference(component_clause,[status(thm)],[f1158])).
% 4.67/1.11 fof(f1179,plain,(
% 4.67/1.11 ~visFreeVar(sK23_skl,vvar(sK23_skl))|~sQ23_spl),
% 4.67/1.11 inference(backward_demodulation,[status(thm)],[f1159,f255])).
% 4.67/1.11 fof(f1192,plain,(
% 4.67/1.11 $false|~sQ23_spl),
% 4.67/1.11 inference(forward_subsumption_resolution,[status(thm)],[f1179,f406])).
% 4.67/1.11 fof(f1193,plain,(
% 4.67/1.11 ~sQ23_spl),
% 4.67/1.11 inference(contradiction_clause,[status(thm)],[f1192])).
% 4.67/1.11 fof(f1409,plain,(
% 4.67/1.11 ![X0,X1,X2,X3,X4]: (~vlookup(X0,X1)=vsomeType(X2)|vtcheck(vbind(X3,X4,X1),vvar(X0),X2)|X0=X3)),
% 4.67/1.11 inference(paramodulation,[status(thm)],[f419,f232])).
% 4.67/1.11 fof(f2553,plain,(
% 4.67/1.11 sP3_prd(sK22_skl,sK24_skl,vvar(sK23_skl))|vvar(sK23_skl)=vapp(sK20_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK18_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))),
% 4.67/1.11 inference(resolution,[status(thm)],[f243,f256])).
% 4.67/1.11 fof(f2556,definition,(
% 4.67/1.11 sQ69_spl <=> (sP3_prd(sK22_skl,sK24_skl,vvar(sK23_skl)))),
% 4.67/1.11 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 4.67/1.11 fof(f2557,plain,(
% 4.67/1.11 sP3_prd(sK22_skl,sK24_skl,vvar(sK23_skl))|~sQ69_spl),
% 4.67/1.11 inference(component_clause,[status(thm)],[f2556])).
% 4.67/1.11 fof(f2559,definition,(
% 4.67/1.11 sQ70_spl <=> (vvar(sK23_skl)=vapp(sK20_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK18_skl(sK22_skl,sK24_skl,vvar(sK23_skl))))),
% 4.67/1.11 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 4.67/1.11 fof(f2560,plain,(
% 4.67/1.11 vvar(sK23_skl)=vapp(sK20_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK18_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))|~sQ70_spl),
% 4.67/1.11 inference(component_clause,[status(thm)],[f2559])).
% 4.67/1.11 fof(f2562,plain,(
% 4.67/1.11 sQ69_spl|sQ70_spl),
% 4.67/1.11 inference(split_clause,[status(thm)],[f2553,f2556,f2559])).
% 4.67/1.11 fof(f4496,plain,(
% 4.67/1.11 sP7_prd(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK22_skl,sK24_skl,vvar(sK23_skl))|vvar(sK23_skl)=vabs(sK44_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK46_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK45_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))|~sQ69_spl),
% 4.67/1.11 inference(resolution,[status(thm)],[f300,f2557])).
% 4.67/1.11 fof(f4500,definition,(
% 4.67/1.11 sQ167_spl <=> (sP7_prd(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK22_skl,sK24_skl,vvar(sK23_skl)))),
% 4.67/1.11 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 4.67/1.12 fof(f4501,plain,(
% 4.67/1.12 sP7_prd(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK22_skl,sK24_skl,vvar(sK23_skl))|~sQ167_spl),
% 4.67/1.12 inference(component_clause,[status(thm)],[f4500])).
% 4.67/1.12 fof(f4503,definition,(
% 4.67/1.12 sQ168_spl <=> (vvar(sK23_skl)=vabs(sK44_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK46_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK45_skl(sK22_skl,sK24_skl,vvar(sK23_skl))))),
% 4.67/1.12 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 4.67/1.12 fof(f4504,plain,(
% 4.67/1.12 vvar(sK23_skl)=vabs(sK44_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK46_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK45_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))|~sQ168_spl),
% 4.67/1.12 inference(component_clause,[status(thm)],[f4503])).
% 4.67/1.12 fof(f4506,plain,(
% 4.67/1.12 sQ167_spl|sQ168_spl|~sQ69_spl),
% 4.67/1.12 inference(split_clause,[status(thm)],[f4496,f4500,f4503,f2556])).
% 4.67/1.12 fof(f4511,plain,(
% 4.67/1.12 vvar(sK23_skl)=vvar(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))|~sQ167_spl),
% 4.67/1.12 inference(resolution,[status(thm)],[f4501,f337])).
% 4.67/1.12 fof(f4512,plain,(
% 4.67/1.12 sK23_skl=sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl))|~sQ167_spl),
% 4.67/1.12 inference(resolution,[status(thm)],[f4511,f61])).
% 4.67/1.12 fof(f4717,plain,(
% 4.67/1.12 sP7_prd(sK23_skl,sK22_skl,sK24_skl,vvar(sK23_skl))|~sQ167_spl),
% 4.67/1.12 inference(backward_demodulation,[status(thm)],[f4512,f4501])).
% 4.67/1.12 fof(f4721,plain,(
% 4.67/1.12 $false|~sQ70_spl),
% 4.67/1.12 inference(forward_subsumption_resolution,[status(thm)],[f2560,f75])).
% 4.67/1.12 fof(f4722,plain,(
% 4.67/1.12 ~sQ70_spl),
% 4.67/1.12 inference(contradiction_clause,[status(thm)],[f4721])).
% 4.67/1.12 fof(f4725,plain,(
% 4.67/1.12 vlookup(sK23_skl,sK22_skl)=vsomeType(sK24_skl)|~sQ167_spl),
% 4.67/1.12 inference(resolution,[status(thm)],[f4717,f338])).
% 4.67/1.12 fof(f4728,plain,(
% 4.67/1.12 ![X0,X1]: (vtcheck(vbind(X0,X1,sK22_skl),vvar(sK23_skl),sK24_skl)|sK23_skl=X0|~sQ167_spl)),
% 4.67/1.12 inference(resolution,[status(thm)],[f4725,f1409])).
% 4.67/1.12 fof(f4776,plain,(
% 4.67/1.12 sK23_skl=sK21_skl|~sQ167_spl),
% 4.67/1.12 inference(resolution,[status(thm)],[f4728,f257])).
% 4.67/1.12 fof(f4784,plain,(
% 4.67/1.12 sQ23_spl|~sQ167_spl),
% 4.67/1.12 inference(split_clause,[status(thm)],[f4776,f1158,f4500])).
% 4.67/1.12 fof(f4793,plain,(
% 4.67/1.12 $false|~sQ168_spl),
% 4.67/1.12 inference(forward_subsumption_resolution,[status(thm)],[f4504,f74])).
% 4.67/1.12 fof(f4794,plain,(
% 4.67/1.12 ~sQ168_spl),
% 4.67/1.12 inference(contradiction_clause,[status(thm)],[f4793])).
% 4.67/1.12 fof(f4795,plain,(
% 4.67/1.12 $false),
% 4.67/1.12 inference(sat_refutation,[status(thm)],[f1193,f2562,f4506,f4722,f4784,f4794])).
% 4.67/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 2.84/1.14 % Elapsed time: 0.758083 seconds
% 2.84/1.14 % CPU time: 5.669201 seconds
% 2.84/1.14 % Total memory used: 171.309 MB
% 2.84/1.14 % Net memory used: 161.547 MB
%------------------------------------------------------------------------------