TSTP Solution File: COM140+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM140+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:04:08 EDT 2023
% Result : Theorem 16.66s 2.53s
% Output : CNFRefutation 16.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM140+1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:45:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 16.66/2.53 % Refutation found
% 16.66/2.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.66/2.53 % SZS output start CNFRefutation for theBenchmark
% 16.66/2.53 fof(f10,axiom,(
% 16.66/2.53 (! [VVar0,VExp0,Vx,Vv] :( ( VVar0 = Vv& VExp0 = vvar(Vx) )=> ( ( Vx = Vv=> visFreeVar(VVar0,VExp0) )& ( visFreeVar(VVar0,VExp0)=> Vx = Vv ) ) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f12,axiom,(
% 16.66/2.53 (! [VVar0,VExp0,Ve1,Vv,Ve2] :( ( VVar0 = Vv& VExp0 = vapp(Ve1,Ve2) )=> ( ( ( visFreeVar(Vv,Ve1)| visFreeVar(Vv,Ve2) )=> visFreeVar(VVar0,VExp0) )& ( visFreeVar(VVar0,VExp0)=> ( visFreeVar(Vv,Ve1)| visFreeVar(Vv,Ve2) ) ) ) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f28,axiom,(
% 16.66/2.53 (! [Vv,Ve] :( vgensym(Ve) = Vv=> ~ visFreeVar(Vv,Ve) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f56,axiom,(
% 16.66/2.53 (! [Ve2,Ve1] :( valphaEquivalent(Ve1,Ve2)=> valphaEquivalent(Ve2,Ve1) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f57,axiom,(
% 16.66/2.53 (! [Ve2,Ve1,Ve3] :( ( valphaEquivalent(Ve1,Ve2)& valphaEquivalent(Ve2,Ve3) )=> valphaEquivalent(Ve1,Ve3) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f58,axiom,(
% 16.66/2.53 (! [VS,Vx,Vy,Ve] :( ~ visFreeVar(Vy,Ve)=> valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve))) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f59,axiom,(
% 16.66/2.53 (! [Ve,VC,Ve1,VT] :( ( vtcheck(VC,Ve,VT)& valphaEquivalent(Ve,Ve1) )=> vtcheck(VC,Ve1,VT) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f61,axiom,(
% 16.66/2.53 (! [Vx,VS,VC,Vy,VS1,Ve1,VT] :( ( Vx != Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,Ve1),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,Ve1),VT) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f62,conjecture,(
% 16.66/2.53 (! [Vx,VS,VC,Vy,VS1,VT] :( ( Vx = Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 16.66/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.66/2.53 fof(f63,negated_conjecture,(
% 16.66/2.53 ~((! [Vx,VS,VC,Vy,VS1,VT] :( ( Vx = Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) ))),
% 16.66/2.53 inference(negated_conjecture,[status(cth)],[f62])).
% 16.66/2.53 fof(f91,plain,(
% 16.66/2.53 ![VVar0,VExp0,Vx,Vv]: ((~VVar0=Vv|~VExp0=vvar(Vx))|((~Vx=Vv|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|Vx=Vv)))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 16.66/2.53 fof(f92,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (~X0=X1|~X2=vvar(X3)|~X3=X1|visFreeVar(X0,X2))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f91])).
% 16.66/2.53 fof(f99,plain,(
% 16.66/2.53 ![VVar0,VExp0,Ve1,Vv,Ve2]: ((~VVar0=Vv|~VExp0=vapp(Ve1,Ve2))|(((~visFreeVar(Vv,Ve1)&~visFreeVar(Vv,Ve2))|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|(visFreeVar(Vv,Ve1)|visFreeVar(Vv,Ve2)))))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 16.66/2.53 fof(f100,plain,(
% 16.66/2.53 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X3)|visFreeVar(X0,X2))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f99])).
% 16.66/2.53 fof(f101,plain,(
% 16.66/2.53 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X4)|visFreeVar(X0,X2))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f99])).
% 16.66/2.53 fof(f152,plain,(
% 16.66/2.53 ![Vv,Ve]: (~vgensym(Ve)=Vv|~visFreeVar(Vv,Ve))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 16.66/2.53 fof(f153,plain,(
% 16.66/2.53 ![X0,X1]: (~vgensym(X0)=X1|~visFreeVar(X1,X0))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f152])).
% 16.66/2.53 fof(f252,plain,(
% 16.66/2.53 ![Ve2,Ve1]: (~valphaEquivalent(Ve1,Ve2)|valphaEquivalent(Ve2,Ve1))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 16.66/2.53 fof(f253,plain,(
% 16.66/2.53 ![X0,X1]: (~valphaEquivalent(X0,X1)|valphaEquivalent(X1,X0))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f252])).
% 16.66/2.53 fof(f254,plain,(
% 16.66/2.53 ![Ve2,Ve1,Ve3]: ((~valphaEquivalent(Ve1,Ve2)|~valphaEquivalent(Ve2,Ve3))|valphaEquivalent(Ve1,Ve3))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 16.66/2.53 fof(f255,plain,(
% 16.66/2.53 ![Ve1,Ve3]: ((![Ve2]: (~valphaEquivalent(Ve1,Ve2)|~valphaEquivalent(Ve2,Ve3)))|valphaEquivalent(Ve1,Ve3))),
% 16.66/2.53 inference(miniscoping,[status(esa)],[f254])).
% 16.66/2.53 fof(f256,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~valphaEquivalent(X0,X1)|~valphaEquivalent(X1,X2)|valphaEquivalent(X0,X2))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f255])).
% 16.66/2.53 fof(f257,plain,(
% 16.66/2.53 ![VS,Vx,Vy,Ve]: (visFreeVar(Vy,Ve)|valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve))))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 16.66/2.53 fof(f258,plain,(
% 16.66/2.53 ![Vy,Ve]: (visFreeVar(Vy,Ve)|(![VS,Vx]: valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve)))))),
% 16.66/2.53 inference(miniscoping,[status(esa)],[f257])).
% 16.66/2.53 fof(f259,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (visFreeVar(X0,X1)|valphaEquivalent(vabs(X2,X3,X1),vabs(X0,X3,vsubst(X2,vvar(X0),X1))))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f258])).
% 16.66/2.53 fof(f260,plain,(
% 16.66/2.53 ![Ve,VC,Ve1,VT]: ((~vtcheck(VC,Ve,VT)|~valphaEquivalent(Ve,Ve1))|vtcheck(VC,Ve1,VT))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 16.66/2.53 fof(f261,plain,(
% 16.66/2.53 ![VC,Ve1,VT]: ((![Ve]: (~vtcheck(VC,Ve,VT)|~valphaEquivalent(Ve,Ve1)))|vtcheck(VC,Ve1,VT))),
% 16.66/2.53 inference(miniscoping,[status(esa)],[f260])).
% 16.66/2.53 fof(f262,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (~vtcheck(X0,X1,X2)|~valphaEquivalent(X1,X3)|vtcheck(X0,X3,X2))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f261])).
% 16.66/2.53 fof(f266,plain,(
% 16.66/2.53 ![Vx,VS,VC,Vy,VS1,Ve1,VT]: (((Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,Ve1),VT))|vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,Ve1),VT))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f61])).
% 16.66/2.53 fof(f267,plain,(
% 16.66/2.53 ![Vx,VC,Vy,VS1,Ve1,VT]: (((Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,Ve1),VT))|(![VS]: vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,Ve1),VT)))),
% 16.66/2.53 inference(miniscoping,[status(esa)],[f266])).
% 16.66/2.53 fof(f268,plain,(
% 16.66/2.53 ![X0,X1,X2,X3,X4,X5,X6]: (X0=X1|~vlookup(X0,X2)=vnoType|~vtcheck(X2,vabs(X1,X3,X4),X5)|vtcheck(vbind(X0,X6,X2),vabs(X1,X3,X4),X5))),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f267])).
% 16.66/2.53 fof(f269,plain,(
% 16.66/2.53 (?[Vx,VS,VC,Vy,VS1,VT]: (((Vx=Vy&vlookup(Vx,VC)=vnoType)&vtcheck(VC,vabs(Vy,VS1,veabs),VT))&~vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 16.66/2.53 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 16.66/2.53 fof(f270,plain,(
% 16.66/2.53 ?[Vx,VC,Vy,VS1,VT]: (((Vx=Vy&vlookup(Vx,VC)=vnoType)&vtcheck(VC,vabs(Vy,VS1,veabs),VT))&(?[VS]: ~vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 16.66/2.53 inference(miniscoping,[status(esa)],[f269])).
% 16.66/2.53 fof(f271,plain,(
% 16.66/2.53 (((sk0_21=sk0_23&vlookup(sk0_21,sk0_22)=vnoType)&vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25))&~vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_23,sk0_24,veabs),sk0_25))),
% 16.66/2.53 inference(skolemization,[status(esa)],[f270])).
% 16.66/2.53 fof(f272,plain,(
% 16.66/2.53 sk0_21=sk0_23),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f271])).
% 16.66/2.53 fof(f273,plain,(
% 16.66/2.53 vlookup(sk0_21,sk0_22)=vnoType),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f271])).
% 16.66/2.53 fof(f274,plain,(
% 16.66/2.53 vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f271])).
% 16.66/2.53 fof(f275,plain,(
% 16.66/2.53 ~vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_23,sk0_24,veabs),sk0_25)),
% 16.66/2.53 inference(cnf_transformation,[status(esa)],[f271])).
% 16.66/2.53 fof(f396,plain,(
% 16.66/2.53 ![X0]: (visFreeVar(X0,vvar(X0)))),
% 16.66/2.53 inference(destructive_equality_resolution,[status(esa)],[f92])).
% 16.66/2.53 fof(f401,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X1,X2)))),
% 16.66/2.53 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 16.66/2.53 fof(f402,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X2,X1)))),
% 16.66/2.53 inference(destructive_equality_resolution,[status(esa)],[f101])).
% 16.66/2.53 fof(f415,plain,(
% 16.66/2.53 ![X0]: (~visFreeVar(vgensym(X0),X0))),
% 16.66/2.53 inference(destructive_equality_resolution,[status(esa)],[f153])).
% 16.66/2.53 fof(f443,plain,(
% 16.66/2.53 vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)),
% 16.66/2.53 inference(forward_demodulation,[status(thm)],[f272,f274])).
% 16.66/2.53 fof(f444,plain,(
% 16.66/2.53 ~vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_21,sk0_24,veabs),sk0_25)),
% 16.66/2.53 inference(forward_demodulation,[status(thm)],[f272,f275])).
% 16.66/2.53 fof(f448,plain,(
% 16.66/2.53 spl0_1 <=> vlookup(sk0_21,sk0_22)=vnoType),
% 16.66/2.53 introduced(split_symbol_definition)).
% 16.66/2.53 fof(f450,plain,(
% 16.66/2.53 ~vlookup(sk0_21,sk0_22)=vnoType|spl0_1),
% 16.66/2.53 inference(component_clause,[status(thm)],[f448])).
% 16.66/2.53 fof(f451,plain,(
% 16.66/2.53 spl0_2 <=> vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)),
% 16.66/2.53 introduced(split_symbol_definition)).
% 16.66/2.53 fof(f453,plain,(
% 16.66/2.53 ~vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)|spl0_2),
% 16.66/2.53 inference(component_clause,[status(thm)],[f451])).
% 16.66/2.53 fof(f457,plain,(
% 16.66/2.53 $false|spl0_2),
% 16.66/2.53 inference(forward_subsumption_resolution,[status(thm)],[f453,f443])).
% 16.66/2.53 fof(f458,plain,(
% 16.66/2.53 spl0_2),
% 16.66/2.53 inference(contradiction_clause,[status(thm)],[f457])).
% 16.66/2.53 fof(f459,plain,(
% 16.66/2.53 ~vnoType=vnoType|spl0_1),
% 16.66/2.53 inference(forward_demodulation,[status(thm)],[f273,f450])).
% 16.66/2.53 fof(f460,plain,(
% 16.66/2.53 $false|spl0_1),
% 16.66/2.53 inference(trivial_equality_resolution,[status(esa)],[f459])).
% 16.66/2.53 fof(f461,plain,(
% 16.66/2.53 spl0_1),
% 16.66/2.53 inference(contradiction_clause,[status(thm)],[f460])).
% 16.66/2.53 fof(f473,plain,(
% 16.66/2.53 ![X0,X1]: (~visFreeVar(vgensym(vapp(X0,X1)),X0))),
% 16.66/2.53 inference(resolution,[status(thm)],[f401,f415])).
% 16.66/2.53 fof(f474,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X0))),
% 16.66/2.53 inference(resolution,[status(thm)],[f473,f401])).
% 16.66/2.53 fof(f477,plain,(
% 16.66/2.53 ![X0,X1]: (~visFreeVar(vgensym(vapp(X0,X1)),X1))),
% 16.66/2.53 inference(resolution,[status(thm)],[f402,f415])).
% 16.66/2.53 fof(f486,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~valphaEquivalent(X0,X1)|valphaEquivalent(X0,X2)|~valphaEquivalent(X2,X1))),
% 16.66/2.53 inference(resolution,[status(thm)],[f256,f253])).
% 16.66/2.53 fof(f551,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (~visFreeVar(vgensym(vapp(vapp(vapp(X0,X1),X2),X3)),X0))),
% 16.66/2.53 inference(resolution,[status(thm)],[f474,f401])).
% 16.66/2.53 fof(f582,plain,(
% 16.66/2.53 ![X0]: (~vtcheck(vbind(sk0_21,sk0_26,sk0_22),X0,sk0_25)|~valphaEquivalent(X0,vabs(sk0_21,sk0_24,veabs)))),
% 16.66/2.53 inference(resolution,[status(thm)],[f262,f444])).
% 16.66/2.53 fof(f725,plain,(
% 16.66/2.53 spl0_12 <=> ~valphaEquivalent(vabs(X0,X1,X2),vabs(sk0_21,sk0_24,veabs))|sk0_21=X0|~vtcheck(sk0_22,vabs(X0,X1,X2),sk0_25)),
% 16.66/2.53 introduced(split_symbol_definition)).
% 16.66/2.53 fof(f726,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~valphaEquivalent(vabs(X0,X1,X2),vabs(sk0_21,sk0_24,veabs))|sk0_21=X0|~vtcheck(sk0_22,vabs(X0,X1,X2),sk0_25)|~spl0_12)),
% 16.66/2.53 inference(component_clause,[status(thm)],[f725])).
% 16.66/2.53 fof(f728,plain,(
% 16.66/2.53 ![X0,X1,X2]: (~valphaEquivalent(vabs(X0,X1,X2),vabs(sk0_21,sk0_24,veabs))|sk0_21=X0|~vlookup(sk0_21,sk0_22)=vnoType|~vtcheck(sk0_22,vabs(X0,X1,X2),sk0_25))),
% 16.66/2.53 inference(resolution,[status(thm)],[f582,f268])).
% 16.66/2.53 fof(f729,plain,(
% 16.66/2.53 spl0_12|~spl0_1),
% 16.66/2.53 inference(split_clause,[status(thm)],[f728,f725,f448])).
% 16.66/2.53 fof(f734,plain,(
% 16.66/2.53 ![X0,X1,X2]: (sk0_21=X0|~vtcheck(sk0_22,vabs(X0,X1,X2),sk0_25)|~valphaEquivalent(vabs(sk0_21,sk0_24,veabs),vabs(X0,X1,X2))|~spl0_12)),
% 16.66/2.53 inference(resolution,[status(thm)],[f726,f253])).
% 16.66/2.53 fof(f738,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (sk0_21=X0|~vtcheck(sk0_22,vabs(X0,X1,X2),sk0_25)|~valphaEquivalent(vabs(sk0_21,sk0_24,veabs),X3)|~valphaEquivalent(X3,vabs(X0,X1,X2))|~spl0_12)),
% 16.66/2.53 inference(resolution,[status(thm)],[f734,f256])).
% 16.66/2.53 fof(f756,plain,(
% 16.66/2.53 ![X0,X1,X2,X3,X4]: (sk0_21=X0|~valphaEquivalent(vabs(sk0_21,sk0_24,veabs),X1)|~valphaEquivalent(X1,vabs(X0,X2,X3))|~vtcheck(sk0_22,X4,sk0_25)|~valphaEquivalent(X4,vabs(X0,X2,X3))|~spl0_12)),
% 16.66/2.53 inference(resolution,[status(thm)],[f738,f262])).
% 16.66/2.53 fof(f778,plain,(
% 16.66/2.53 ![X0,X1,X2,X3,X4,X5]: (sk0_21=X0|~valphaEquivalent(X1,vabs(X0,X2,X3))|~vtcheck(sk0_22,X4,sk0_25)|~valphaEquivalent(X4,vabs(X0,X2,X3))|~valphaEquivalent(vabs(sk0_21,sk0_24,veabs),X5)|~valphaEquivalent(X1,X5)|~spl0_12)),
% 16.66/2.53 inference(resolution,[status(thm)],[f756,f486])).
% 16.66/2.53 fof(f814,plain,(
% 16.66/2.53 spl0_18 <=> sk0_21=X0|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(vabs(X0,X2,X3),vabs(sk0_21,sk0_24,veabs))),
% 16.66/2.53 introduced(split_symbol_definition)).
% 16.66/2.53 fof(f815,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (sk0_21=X0|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(vabs(X0,X2,X3),vabs(sk0_21,sk0_24,veabs))|~spl0_18)),
% 16.66/2.53 inference(component_clause,[status(thm)],[f814])).
% 16.66/2.53 fof(f817,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (sk0_21=X0|~valphaEquivalent(X1,vabs(X0,X2,X3))|~vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(vabs(X0,X2,X3),vabs(sk0_21,sk0_24,veabs))|~spl0_12)),
% 16.66/2.53 inference(resolution,[status(thm)],[f778,f253])).
% 16.66/2.53 fof(f818,plain,(
% 16.66/2.53 spl0_18|~spl0_2|~spl0_12),
% 16.66/2.53 inference(split_clause,[status(thm)],[f817,f814,f451,f725])).
% 16.66/2.53 fof(f832,plain,(
% 16.66/2.53 ![X0,X1,X2,X3]: (sk0_21=X0|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(vabs(X0,X2,X3),vabs(sk0_21,sk0_24,veabs))|~spl0_18)),
% 16.66/2.54 inference(duplicate_literals_removal,[status(esa)],[f815])).
% 16.66/2.54 fof(f835,plain,(
% 16.66/2.54 ![X0,X1,X2,X3]: (sk0_21=X0|~valphaEquivalent(X1,vabs(X0,X2,X3))|~valphaEquivalent(vabs(sk0_21,sk0_24,veabs),vabs(X0,X2,X3))|~spl0_18)),
% 16.66/2.54 inference(resolution,[status(thm)],[f832,f253])).
% 16.66/2.54 fof(f6468,plain,(
% 16.66/2.54 ![X0,X1]: (visFreeVar(X0,veabs)|sk0_21=X0|~valphaEquivalent(X1,vabs(X0,sk0_24,vsubst(sk0_21,vvar(X0),veabs)))|~spl0_18)),
% 16.66/2.54 inference(resolution,[status(thm)],[f259,f835])).
% 16.66/2.54 fof(f6560,plain,(
% 16.66/2.54 ![X0]: (visFreeVar(X0,veabs)|sk0_21=X0|visFreeVar(X0,veabs)|~spl0_18)),
% 16.66/2.54 inference(resolution,[status(thm)],[f6468,f259])).
% 16.66/2.54 fof(f6561,plain,(
% 16.66/2.54 ![X0]: (visFreeVar(X0,veabs)|sk0_21=X0|~spl0_18)),
% 16.66/2.54 inference(duplicate_literals_removal,[status(esa)],[f6560])).
% 16.66/2.54 fof(f6589,plain,(
% 16.66/2.54 ![X0]: (sk0_21=vgensym(vapp(X0,veabs))|~spl0_18)),
% 16.66/2.54 inference(resolution,[status(thm)],[f6561,f477])).
% 16.66/2.54 fof(f6611,plain,(
% 16.66/2.54 ![X0]: (~visFreeVar(sk0_21,X0)|~spl0_18)),
% 16.66/2.54 inference(paramodulation,[status(thm)],[f6589,f551])).
% 16.66/2.54 fof(f6632,plain,(
% 16.66/2.54 $false|~spl0_18),
% 16.66/2.54 inference(resolution,[status(thm)],[f6611,f396])).
% 16.66/2.54 fof(f6633,plain,(
% 16.66/2.54 ~spl0_18),
% 16.66/2.54 inference(contradiction_clause,[status(thm)],[f6632])).
% 16.66/2.54 fof(f6634,plain,(
% 16.66/2.54 $false),
% 16.66/2.54 inference(sat_refutation,[status(thm)],[f458,f461,f729,f818,f6633])).
% 16.66/2.54 % SZS output end CNFRefutation for theBenchmark.p
% 17.33/2.57 % Elapsed time: 2.213375 seconds
% 17.33/2.57 % CPU time: 17.354003 seconds
% 17.33/2.57 % Memory used: 179.880 MB
%------------------------------------------------------------------------------