%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM138+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 : n011.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 12:10:51 PM UTC 2026
% Result : Theorem 8.09s 1.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM138+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
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:17:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 8.09/1.52 % Refutation found
% 8.09/1.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.09/1.52 % SZS output start CNFRefutation for theBenchmark
% 8.09/1.52 fof(f1,axiom,(
% 8.09/1.52 (! [VVar0,VVar1] :( ( vvar(VVar0) = vvar(VVar1)=> VVar0 = VVar1 )& ( VVar0 = VVar1=> vvar(VVar0) = vvar(VVar1) ) ) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f4,axiom,(
% 8.09/1.52 (! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f5,axiom,(
% 8.09/1.52 (! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f10,axiom,(
% 8.09/1.52 (! [VVar0,VExp0,Vx,Vv] :( ( VVar0 = Vv& VExp0 = vvar(Vx) )=> ( ( Vx = Vv=> visFreeVar(VVar0,VExp0) )& ( visFreeVar(VVar0,VExp0)=> Vx = Vv ) ) ) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f24,axiom,(
% 8.09/1.52 (! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :( ( VVar0 = Vx& VCtx0 = vbind(Vy,VTy,VC) )=> ( Vx != Vy=> ( RESULT = vlookup(VVar0,VCtx0)=> RESULT = vlookup(Vx,VC) ) ) ) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f51,axiom,(
% 8.09/1.52 (! [VC,Vx,VT] :( vlookup(Vx,VC) = vsomeType(VT)=> vtcheck(VC,vvar(Vx),VT) ) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f54,axiom,(
% 8.09/1.52 (! [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) ) )) ) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f56,conjecture,(
% 8.09/1.52 (! [Vx,VS,VC,Vy,VT] :( ( ~ visFreeVar(Vx,vvar(Vy))& vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) )=> vtcheck(VC,vvar(Vy),VT) ) )),
% 8.09/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.09/1.52 fof(f57,negated_conjecture,(
% 8.09/1.52 ~((! [Vx,VS,VC,Vy,VT] :( ( ~ visFreeVar(Vx,vvar(Vy))& vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) )=> vtcheck(VC,vvar(Vy),VT) ) ))),
% 8.09/1.52 inference(negated_conjecture,[status(cth)],[f56])).
% 8.09/1.52 fof(f58,plain,(
% 8.09/1.52 ![VVar0,VVar1]: ((~vvar(VVar0)=vvar(VVar1)|VVar0=VVar1)&(~VVar0=VVar1|vvar(VVar0)=vvar(VVar1)))),
% 8.09/1.52 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 8.09/1.52 fof(f59,plain,(
% 8.09/1.52 (![VVar0,VVar1]: (~vvar(VVar0)=vvar(VVar1)|VVar0=VVar1))&(![VVar0,VVar1]: (~VVar0=VVar1|vvar(VVar0)=vvar(VVar1)))),
% 8.09/1.52 inference(miniscoping,[status(thm)],[f58])).
% 8.09/1.52 fof(f60,plain,(
% 8.09/1.52 ![X0,X1]: (~vvar(X0)=vvar(X1)|X0=X1)),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f59])).
% 8.09/1.52 fof(f73,plain,(
% 8.09/1.52 ![X0,X1,X2,X3]: (~vvar(X0)=vabs(X1,X2,X3))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f4])).
% 8.09/1.52 fof(f74,plain,(
% 8.09/1.52 ![X0,X1,X2]: (~vvar(X0)=vapp(X1,X2))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f5])).
% 8.09/1.52 fof(f85,plain,(
% 8.09/1.52 ![VVar0,VExp0,Vx,Vv]: ((~VVar0=Vv|~VExp0=vvar(Vx))|((~Vx=Vv|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|Vx=Vv)))),
% 8.09/1.52 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 8.09/1.52 fof(f86,plain,(
% 8.09/1.52 ![X0,X1,X2,X3]: (~X0=X1|~X2=vvar(X3)|~X3=X1|visFreeVar(X0,X2))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f85])).
% 8.09/1.52 fof(f129,plain,(
% 8.09/1.52 ![VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC]: ((~VVar0=Vx|~VCtx0=vbind(Vy,VTy,VC))|(Vx=Vy|(~RESULT=vlookup(VVar0,VCtx0)|RESULT=vlookup(Vx,VC))))),
% 8.09/1.52 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 8.09/1.52 fof(f130,plain,(
% 8.09/1.52 ![Vy,VVar0,VCtx0,Vx,VC]: ((~VVar0=Vx|(![VTy]: ~VCtx0=vbind(Vy,VTy,VC)))|(Vx=Vy|(![RESULT]: (~RESULT=vlookup(VVar0,VCtx0)|RESULT=vlookup(Vx,VC)))))),
% 8.09/1.52 inference(miniscoping,[status(thm)],[f129])).
% 8.09/1.52 fof(f131,plain,(
% 8.09/1.52 ![X0,X1,X2,X3,X4,X5,X6]: (~X0=X1|~X2=vbind(X3,X4,X5)|X1=X3|~X6=vlookup(X0,X2)|X6=vlookup(X1,X5))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f130])).
% 8.09/1.52 fof(f230,plain,(
% 8.09/1.52 ![VC,Vx,VT]: (~vlookup(Vx,VC)=vsomeType(VT)|vtcheck(VC,vvar(Vx),VT))),
% 8.09/1.52 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 8.09/1.52 fof(f231,plain,(
% 8.09/1.52 ![X0,X1,X2]: (~vlookup(X0,X1)=vsomeType(X2)|vtcheck(X1,vvar(X0),X2))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f230])).
% 8.09/1.52 fof(f237,plain,(
% 8.09/1.52 ![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)))))),
% 8.09/1.52 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 8.09/1.52 fof(f238,definition,(
% 8.09/1.52 ![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)))))),
% 8.09/1.52 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 8.09/1.52 fof(f239,plain,(
% 8.09/1.52 ![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)))))),
% 8.09/1.52 inference(formula_renaming,[status(thm)],[f237,f238])).
% 8.09/1.52 fof(f240,plain,(
% 8.09/1.52 ![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)))))),
% 8.09/1.52 inference(miniscoping,[status(thm)],[f239])).
% 8.09/1.52 fof(f241,plain,(
% 8.09/1.52 ![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)))))),
% 8.09/1.52 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))],[f240])).
% 8.09/1.52 fof(f242,plain,(
% 8.09/1.52 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|sP3_prd(X0,X2,X1)|X1=vapp(sK20_skl(X0,X2,X1),sK18_skl(X0,X2,X1)))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f241])).
% 8.09/1.52 fof(f248,plain,(
% 8.09/1.52 (?[Vx,VS,VC,Vy,VT]: ((~visFreeVar(Vx,vvar(Vy))&vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT))&~vtcheck(VC,vvar(Vy),VT)))),
% 8.09/1.52 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 8.09/1.52 fof(f249,plain,(
% 8.09/1.52 ?[VC,Vy,VT]: ((?[Vx]: (~visFreeVar(Vx,vvar(Vy))&(?[VS]: vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT))))&~vtcheck(VC,vvar(Vy),VT))),
% 8.09/1.52 inference(miniscoping,[status(thm)],[f248])).
% 8.09/1.52 fof(f250,plain,(
% 8.09/1.52 ((~visFreeVar(sK24_skl,vvar(sK22_skl))&vtcheck(vbind(sK24_skl,sK25_skl,sK21_skl),vvar(sK22_skl),sK23_skl))&~vtcheck(sK21_skl,vvar(sK22_skl),sK23_skl))),
% 8.09/1.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(VC,sK21_skl),skolemize(Vy,sK22_skl),skolemize(VT,sK23_skl),skolemize(Vx,sK24_skl),skolemize(VS,sK25_skl)],[f249])).
% 8.09/1.52 fof(f251,plain,(
% 8.09/1.52 ~visFreeVar(sK24_skl,vvar(sK22_skl))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f250])).
% 8.09/1.52 fof(f252,plain,(
% 8.09/1.52 vtcheck(vbind(sK24_skl,sK25_skl,sK21_skl),vvar(sK22_skl),sK23_skl)),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f250])).
% 8.09/1.52 fof(f253,plain,(
% 8.09/1.52 ~vtcheck(sK21_skl,vvar(sK22_skl),sK23_skl)),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f250])).
% 8.09/1.52 fof(f291,definition,(
% 8.09/1.52 ![Ve,VT,VC,Vx]: (sP7_prd(Vx,VC,VT,Ve)<=>(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))),
% 8.09/1.52 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 8.09/1.52 fof(f292,plain,(
% 8.09/1.52 ![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)))))),
% 8.09/1.52 inference(formula_renaming,[status(thm)],[f238,f291])).
% 8.09/1.52 fof(f293,plain,(
% 8.09/1.52 ![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))))))),
% 8.09/1.52 inference(NNF_transformation,[status(thm)],[f292])).
% 8.09/1.52 fof(f294,plain,(
% 8.09/1.52 (![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))))))),
% 8.09/1.52 inference(miniscoping,[status(thm)],[f293])).
% 8.09/1.52 fof(f295,plain,(
% 8.09/1.52 (![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))))))),
% 8.09/1.52 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))],[f294])).
% 8.09/1.52 fof(f296,plain,(
% 8.09/1.52 ![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)))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f295])).
% 8.09/1.52 fof(f331,plain,(
% 8.09/1.52 ![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))))),
% 8.09/1.52 inference(NNF_transformation,[status(thm)],[f291])).
% 8.09/1.52 fof(f332,plain,(
% 8.09/1.52 (![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))))),
% 8.09/1.52 inference(miniscoping,[status(thm)],[f331])).
% 8.09/1.52 fof(f333,plain,(
% 8.09/1.52 ![X0,X1,X2,X3]: (~sP7_prd(X0,X1,X2,X3)|X3=vvar(X0))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f332])).
% 8.09/1.52 fof(f334,plain,(
% 8.09/1.52 ![X0,X1,X2,X3]: (~sP7_prd(X0,X1,X2,X3)|vlookup(X0,X1)=vsomeType(X2))),
% 8.09/1.52 inference(cnf_transformation,[status(thm)],[f332])).
% 8.09/1.52 fof(f402,plain,(
% 8.09/1.52 ![X0]: (visFreeVar(X0,vvar(X0)))),
% 8.09/1.52 inference(destructive_equality_resolution,[status(thm)],[f86])).
% 8.09/1.52 fof(f415,plain,(
% 8.09/1.52 ![X0,X1,X2,X3]: (X0=X1|vlookup(X0,vbind(X1,X2,X3))=vlookup(X0,X3))),
% 8.09/1.52 inference(destructive_equality_resolution,[status(thm)],[f131])).
% 8.09/1.52 fof(f1574,plain,(
% 8.09/1.52 ~vlookup(sK22_skl,sK21_skl)=vsomeType(sK23_skl)),
% 8.09/1.52 inference(resolution,[status(thm)],[f231,f253])).
% 8.09/1.52 fof(f1579,plain,(
% 8.09/1.52 sP3_prd(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))|vvar(sK22_skl)=vapp(sK20_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK18_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)))),
% 8.09/1.52 inference(resolution,[status(thm)],[f242,f252])).
% 8.09/1.52 fof(f1582,plain,(
% 8.09/1.52 sP3_prd(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))),
% 8.09/1.52 inference(forward_subsumption_resolution,[status(thm)],[f1579,f74])).
% 8.09/1.52 fof(f2491,plain,(
% 8.09/1.52 sP7_prd(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))|vvar(sK22_skl)=vabs(sK44_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK46_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK45_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)))),
% 8.09/1.52 inference(resolution,[status(thm)],[f296,f1582])).
% 8.09/1.52 fof(f2493,plain,(
% 8.09/1.52 sP7_prd(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))),
% 8.09/1.52 inference(forward_subsumption_resolution,[status(thm)],[f2491,f73])).
% 8.09/1.52 fof(f2788,plain,(
% 8.09/1.52 vvar(sK22_skl)=vvar(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)))),
% 8.09/1.52 inference(resolution,[status(thm)],[f2493,f333])).
% 8.09/1.52 fof(f3053,plain,(
% 8.09/1.52 sK22_skl=sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))),
% 8.09/1.52 inference(resolution,[status(thm)],[f2788,f60])).
% 8.09/1.52 fof(f3349,plain,(
% 8.09/1.52 sP7_prd(sK22_skl,vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))),
% 8.09/1.52 inference(backward_demodulation,[status(thm)],[f3053,f2493])).
% 8.09/1.52 fof(f3350,plain,(
% 8.09/1.52 vlookup(sK22_skl,vbind(sK24_skl,sK25_skl,sK21_skl))=vsomeType(sK23_skl)),
% 8.09/1.52 inference(resolution,[status(thm)],[f3349,f334])).
% 8.09/1.52 fof(f3363,plain,(
% 8.09/1.52 vlookup(sK22_skl,sK21_skl)=vsomeType(sK23_skl)|sK22_skl=sK24_skl),
% 8.09/1.52 inference(paramodulation,[status(thm)],[f415,f3350])).
% 8.09/1.52 fof(f3369,plain,(
% 8.09/1.52 sK22_skl=sK24_skl),
% 8.09/1.52 inference(forward_subsumption_resolution,[status(thm)],[f3363,f1574])).
% 8.09/1.52 fof(f3411,plain,(
% 8.09/1.52 ~visFreeVar(sK22_skl,vvar(sK22_skl))),
% 8.09/1.52 inference(backward_demodulation,[status(thm)],[f3369,f251])).
% 8.09/1.52 fof(f3509,plain,(
% 8.09/1.54 $false),
% 8.09/1.54 inference(forward_subsumption_resolution,[status(thm)],[f3411,f402])).
% 8.09/1.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.72/1.56 % Elapsed time: 1.183194 seconds
% 0.72/1.56 % CPU time: 8.968880 seconds
% 0.72/1.56 % Total memory used: 193.017 MB
% 0.72/1.56 % Net memory used: 178.753 MB
%------------------------------------------------------------------------------