TSTP Solution File: COM132+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM132+1 : TPTP v8.1.2. Released v6.4.0.
% 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 20:14:11 EDT 2024
% Result : Theorem 118.68s 15.29s
% Output : CNFRefutation 119.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM132+1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:11:48 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 118.68/15.29 % Refutation found
% 118.68/15.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 118.68/15.29 % SZS output start CNFRefutation for theBenchmark
% 118.68/15.29 fof(f12,axiom,(
% 118.68/15.29 (! [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) ) ) ) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f28,axiom,(
% 118.68/15.29 (! [Vv,Ve] :( vgensym(Ve) = Vv=> ~ visFreeVar(Vv,Ve) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f33,axiom,(
% 118.68/15.29 (! [VVar0,VExp0,VExp1,RESULT,Vx,Ve,VT,Vy,Vfresh,Ve1] :( ( VVar0 = Vx& VExp0 = Ve& VExp1 = vabs(Vy,VT,Ve1) )=> ( ( Vx != Vy& visFreeVar(Vy,Ve)& Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))) )=> ( RESULT = vsubst(VVar0,VExp0,VExp1)=> RESULT = vsubst(Vx,Ve,vabs(Vfresh,VT,vsubst(Vy,vvar(Vfresh),Ve1))) ) ) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f58,axiom,(
% 118.68/15.29 (! [VS,Vx,Vy,Ve] :( ~ visFreeVar(Vy,Ve)=> valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve))) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f59,axiom,(
% 118.68/15.29 (! [Ve,VC,Ve1,VT] :( ( vtcheck(VC,Ve,VT)& valphaEquivalent(Ve,Ve1) )=> vtcheck(VC,Ve1,VT) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f64,axiom,(
% 118.68/15.29 (! [VT,VC,Vx,Ve,Vy,VS,Ve1,VT2] :( ( Vx != Vy& ~ visFreeVar(Vy,Ve)& vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,Ve1),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,Ve1)),VT2) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f65,axiom,(
% 118.68/15.29 (! [Ve,Ve1,Vx,Vfresh] :( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))=> Vx != Vfresh ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f67,conjecture,(
% 118.68/15.29 (! [VT,VC,Vx,Ve,Vy,VS,VT2] :( ( Vx != Vy& visFreeVar(Vy,Ve)& vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2) ) )),
% 118.68/15.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 118.68/15.29 fof(f68,negated_conjecture,(
% 118.68/15.29 ~((! [VT,VC,Vx,Ve,Vy,VS,VT2] :( ( Vx != Vy& visFreeVar(Vy,Ve)& vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2) ) ))),
% 118.68/15.29 inference(negated_conjecture,[status(cth)],[f67])).
% 118.68/15.29 fof(f104,plain,(
% 118.68/15.29 ![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)))))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 118.68/15.29 fof(f105,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X3)|visFreeVar(X0,X2))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f104])).
% 118.68/15.29 fof(f106,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X4)|visFreeVar(X0,X2))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f104])).
% 118.68/15.29 fof(f157,plain,(
% 118.68/15.29 ![Vv,Ve]: (~vgensym(Ve)=Vv|~visFreeVar(Vv,Ve))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 118.68/15.29 fof(f158,plain,(
% 118.68/15.29 ![X0,X1]: (~vgensym(X0)=X1|~visFreeVar(X1,X0))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f157])).
% 118.68/15.29 fof(f171,plain,(
% 118.68/15.29 ![VVar0,VExp0,VExp1,RESULT,Vx,Ve,VT,Vy,Vfresh,Ve1]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vabs(Vy,VT,Ve1))|(((Vx=Vy|~visFreeVar(Vy,Ve))|~Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))))|(~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vsubst(Vx,Ve,vabs(Vfresh,VT,vsubst(Vy,vvar(Vfresh),Ve1))))))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 118.68/15.29 fof(f172,plain,(
% 118.68/15.29 ![VVar0,VExp0,VExp1,Vx,Ve,VT,Vy,Ve1]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vabs(Vy,VT,Ve1))|(![Vfresh]: (((Vx=Vy|~visFreeVar(Vy,Ve))|~Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))))|(![RESULT]: (~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vsubst(Vx,Ve,vabs(Vfresh,VT,vsubst(Vy,vvar(Vfresh),Ve1))))))))),
% 118.68/15.29 inference(miniscoping,[status(esa)],[f171])).
% 118.68/15.29 fof(f173,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~X0=X1|~X2=X3|~X4=vabs(X5,X6,X7)|X1=X5|~visFreeVar(X5,X3)|~X8=vgensym(vapp(vapp(X3,X7),vvar(X1)))|~X9=vsubst(X0,X2,X4)|X9=vsubst(X1,X3,vabs(X8,X6,vsubst(X5,vvar(X8),X7))))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f172])).
% 118.68/15.29 fof(f262,plain,(
% 118.68/15.29 ![VS,Vx,Vy,Ve]: (visFreeVar(Vy,Ve)|valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve))))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 118.68/15.29 fof(f263,plain,(
% 118.68/15.29 ![Vy,Ve]: (visFreeVar(Vy,Ve)|(![VS,Vx]: valphaEquivalent(vabs(Vx,VS,Ve),vabs(Vy,VS,vsubst(Vx,vvar(Vy),Ve)))))),
% 118.68/15.29 inference(miniscoping,[status(esa)],[f262])).
% 118.68/15.29 fof(f264,plain,(
% 118.68/15.29 ![X0,X1,X2,X3]: (visFreeVar(X0,X1)|valphaEquivalent(vabs(X2,X3,X1),vabs(X0,X3,vsubst(X2,vvar(X0),X1))))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f263])).
% 118.68/15.29 fof(f265,plain,(
% 118.68/15.29 ![Ve,VC,Ve1,VT]: ((~vtcheck(VC,Ve,VT)|~valphaEquivalent(Ve,Ve1))|vtcheck(VC,Ve1,VT))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 118.68/15.29 fof(f266,plain,(
% 118.68/15.29 ![VC,Ve1,VT]: ((![Ve]: (~vtcheck(VC,Ve,VT)|~valphaEquivalent(Ve,Ve1)))|vtcheck(VC,Ve1,VT))),
% 118.68/15.29 inference(miniscoping,[status(esa)],[f265])).
% 118.68/15.29 fof(f267,plain,(
% 118.68/15.29 ![X0,X1,X2,X3]: (~vtcheck(X0,X1,X2)|~valphaEquivalent(X1,X3)|vtcheck(X0,X3,X2))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f266])).
% 118.68/15.29 fof(f280,plain,(
% 118.68/15.29 ![VT,VC,Vx,Ve,Vy,VS,Ve1,VT2]: ((((Vx=Vy|visFreeVar(Vy,Ve))|~vtcheck(VC,Ve,VT))|~vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,Ve1),VT2))|vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,Ve1)),VT2))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 118.68/15.29 fof(f281,plain,(
% 118.68/15.29 ![VC,Vx,Ve,Vy,VS,Ve1,VT2]: ((![VT]: (((Vx=Vy|visFreeVar(Vy,Ve))|~vtcheck(VC,Ve,VT))|~vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,Ve1),VT2)))|vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,Ve1)),VT2))),
% 118.68/15.29 inference(miniscoping,[status(esa)],[f280])).
% 118.68/15.29 fof(f282,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4,X5,X6,X7]: (X0=X1|visFreeVar(X1,X2)|~vtcheck(X3,X2,X4)|~vtcheck(vbind(X0,X4,X3),vabs(X1,X5,X6),X7)|vtcheck(X3,vsubst(X0,X2,vabs(X1,X5,X6)),X7))),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f281])).
% 118.68/15.29 fof(f283,plain,(
% 118.68/15.29 ![Ve,Ve1,Vx,Vfresh]: (~Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))|~Vx=Vfresh)),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 118.68/15.29 fof(f284,plain,(
% 118.68/15.29 ![Vx,Vfresh]: ((![Ve,Ve1]: ~Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))))|~Vx=Vfresh)),
% 118.68/15.29 inference(miniscoping,[status(esa)],[f283])).
% 118.68/15.29 fof(f285,plain,(
% 118.68/15.29 ![X0,X1,X2,X3]: (~X0=vgensym(vapp(vapp(X1,X2),vvar(X3)))|~X3=X0)),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f284])).
% 118.68/15.29 fof(f289,plain,(
% 118.68/15.29 (?[VT,VC,Vx,Ve,Vy,VS,VT2]: ((((~Vx=Vy&visFreeVar(Vy,Ve))&vtcheck(VC,Ve,VT))&vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2))&~vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2)))),
% 118.68/15.29 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 118.68/15.29 fof(f290,plain,(
% 118.68/15.29 ?[VC,Vx,Ve,Vy,VS,VT2]: ((?[VT]: (((~Vx=Vy&visFreeVar(Vy,Ve))&vtcheck(VC,Ve,VT))&vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2)))&~vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2))),
% 118.68/15.29 inference(miniscoping,[status(esa)],[f289])).
% 118.68/15.29 fof(f291,plain,(
% 118.68/15.29 ((((~sk0_22=sk0_24&visFreeVar(sk0_24,sk0_23))&vtcheck(sk0_21,sk0_23,sk0_27))&vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_24,sk0_25,veabs),sk0_26))&~vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vabs(sk0_24,sk0_25,veabs)),sk0_26))),
% 118.68/15.29 inference(skolemization,[status(esa)],[f290])).
% 118.68/15.29 fof(f292,plain,(
% 118.68/15.29 ~sk0_22=sk0_24),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f291])).
% 118.68/15.29 fof(f293,plain,(
% 118.68/15.29 visFreeVar(sk0_24,sk0_23)),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f291])).
% 118.68/15.29 fof(f294,plain,(
% 118.68/15.29 vtcheck(sk0_21,sk0_23,sk0_27)),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f291])).
% 118.68/15.29 fof(f295,plain,(
% 118.68/15.29 vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_24,sk0_25,veabs),sk0_26)),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f291])).
% 118.68/15.29 fof(f296,plain,(
% 118.68/15.29 ~vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vabs(sk0_24,sk0_25,veabs)),sk0_26)),
% 118.68/15.29 inference(cnf_transformation,[status(esa)],[f291])).
% 118.68/15.29 fof(f422,plain,(
% 118.68/15.29 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X1,X2)))),
% 118.68/15.29 inference(destructive_equality_resolution,[status(esa)],[f105])).
% 118.68/15.29 fof(f423,plain,(
% 118.68/15.29 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X2,X1)))),
% 118.68/15.29 inference(destructive_equality_resolution,[status(esa)],[f106])).
% 118.68/15.29 fof(f436,plain,(
% 118.68/15.29 ![X0]: (~visFreeVar(vgensym(X0),X0))),
% 118.68/15.29 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 118.68/15.29 fof(f441,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4]: (X0=X1|~visFreeVar(X1,X2)|vsubst(X0,X2,vabs(X1,X3,X4))=vsubst(X0,X2,vabs(vgensym(vapp(vapp(X2,X4),vvar(X0))),X3,vsubst(X1,vvar(vgensym(vapp(vapp(X2,X4),vvar(X0)))),X4))))),
% 118.68/15.29 inference(destructive_equality_resolution,[status(esa)],[f173])).
% 118.68/15.29 fof(f464,plain,(
% 118.68/15.29 ![X0,X1,X2]: (~X0=vgensym(vapp(vapp(X1,X2),vvar(X0))))),
% 118.68/15.29 inference(destructive_equality_resolution,[status(esa)],[f285])).
% 118.68/15.29 fof(f642,plain,(
% 118.68/15.29 ![X0,X1]: (~visFreeVar(vgensym(vapp(X0,X1)),X0))),
% 118.68/15.29 inference(resolution,[status(thm)],[f436,f422])).
% 118.68/15.29 fof(f974,plain,(
% 118.68/15.29 ![X0,X1,X2]: (~visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X1))),
% 118.68/15.29 inference(resolution,[status(thm)],[f642,f423])).
% 118.68/15.29 fof(f975,plain,(
% 118.68/15.29 ![X0,X1,X2]: (~visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X0))),
% 118.68/15.29 inference(resolution,[status(thm)],[f642,f422])).
% 118.68/15.29 fof(f2938,plain,(
% 118.68/15.29 ![X0,X1,X2]: (X0=sk0_24|vsubst(X0,sk0_23,vabs(sk0_24,X1,X2))=vsubst(X0,sk0_23,vabs(vgensym(vapp(vapp(sk0_23,X2),vvar(X0))),X1,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,X2),vvar(X0)))),X2))))),
% 118.68/15.29 inference(resolution,[status(thm)],[f441,f293])).
% 118.68/15.29 fof(f4528,plain,(
% 118.68/15.29 spl0_25 <=> sk0_22=sk0_24),
% 118.68/15.29 introduced(split_symbol_definition)).
% 118.68/15.29 fof(f4529,plain,(
% 118.68/15.29 sk0_22=sk0_24|~spl0_25),
% 118.68/15.29 inference(component_clause,[status(thm)],[f4528])).
% 118.68/15.29 fof(f6616,plain,(
% 118.68/15.29 $false|~spl0_25),
% 118.68/15.29 inference(forward_subsumption_resolution,[status(thm)],[f4529,f292])).
% 118.68/15.29 fof(f6617,plain,(
% 118.68/15.29 ~spl0_25),
% 118.68/15.29 inference(contradiction_clause,[status(thm)],[f6616])).
% 118.68/15.29 fof(f7499,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4,X5]: (X0=vgensym(vapp(vapp(sk0_23,X1),vvar(X0)))|visFreeVar(vgensym(vapp(vapp(sk0_23,X1),vvar(X0))),sk0_23)|~vtcheck(X2,sk0_23,X3)|~vtcheck(vbind(X0,X3,X2),vabs(vgensym(vapp(vapp(sk0_23,X1),vvar(X0))),X4,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,X1),vvar(X0)))),X1)),X5)|vtcheck(X2,vsubst(X0,sk0_23,vabs(sk0_24,X4,X1)),X5)|X0=sk0_24)),
% 118.68/15.29 inference(paramodulation,[status(thm)],[f2938,f282])).
% 118.68/15.29 fof(f7500,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4,X5]: (X0=vgensym(vapp(vapp(sk0_23,X1),vvar(X0)))|~vtcheck(X2,sk0_23,X3)|~vtcheck(vbind(X0,X3,X2),vabs(vgensym(vapp(vapp(sk0_23,X1),vvar(X0))),X4,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,X1),vvar(X0)))),X1)),X5)|vtcheck(X2,vsubst(X0,sk0_23,vabs(sk0_24,X4,X1)),X5)|X0=sk0_24)),
% 118.68/15.29 inference(forward_subsumption_resolution,[status(thm)],[f7499,f975])).
% 118.68/15.29 fof(f7842,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4,X5]: (visFreeVar(X0,X1)|~vtcheck(X2,vabs(X3,X4,X1),X5)|vtcheck(X2,vabs(X0,X4,vsubst(X3,vvar(X0),X1)),X5))),
% 118.68/15.29 inference(resolution,[status(thm)],[f264,f267])).
% 118.68/15.29 fof(f22330,plain,(
% 118.68/15.29 spl0_345 <=> ~vtcheck(sk0_21,sk0_23,X3)|~vtcheck(vbind(sk0_22,X3,sk0_21),vabs(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),sk0_25,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22)))),veabs)),sk0_26)),
% 118.68/15.29 introduced(split_symbol_definition)).
% 118.68/15.29 fof(f22331,plain,(
% 118.68/15.29 ![X0]: (~vtcheck(sk0_21,sk0_23,X0)|~vtcheck(vbind(sk0_22,X0,sk0_21),vabs(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),sk0_25,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22)))),veabs)),sk0_26)|~spl0_345)),
% 118.68/15.29 inference(component_clause,[status(thm)],[f22330])).
% 118.68/15.29 fof(f24419,plain,(
% 118.68/15.29 ~vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),sk0_25,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22)))),veabs)),sk0_26)|~spl0_345),
% 118.68/15.29 inference(resolution,[status(thm)],[f22331,f294])).
% 118.68/15.29 fof(f34836,plain,(
% 118.68/15.29 ![X0,X1,X2,X3,X4,X5]: (~vtcheck(X0,sk0_23,X1)|~vtcheck(vbind(X2,X1,X0),vabs(vgensym(vapp(vapp(sk0_23,X3),vvar(X2))),X4,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,X3),vvar(X2)))),X3)),X5)|vtcheck(X0,vsubst(X2,sk0_23,vabs(sk0_24,X4,X3)),X5)|X2=sk0_24)),
% 118.68/15.29 inference(forward_subsumption_resolution,[status(thm)],[f7500,f464])).
% 118.68/15.29 fof(f34838,plain,(
% 118.68/15.29 ![X0]: (~vtcheck(sk0_21,sk0_23,X0)|~vtcheck(vbind(sk0_22,X0,sk0_21),vabs(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),sk0_25,vsubst(sk0_24,vvar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22)))),veabs)),sk0_26)|sk0_22=sk0_24)),
% 118.68/15.29 inference(resolution,[status(thm)],[f34836,f296])).
% 118.68/15.29 fof(f34839,plain,(
% 118.68/15.29 spl0_345|spl0_25),
% 118.68/15.29 inference(split_clause,[status(thm)],[f34838,f22330,f4528])).
% 118.68/15.29 fof(f36072,plain,(
% 118.68/15.29 spl0_529 <=> visFreeVar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),veabs)),
% 119.15/15.38 introduced(split_symbol_definition)).
% 119.15/15.38 fof(f36073,plain,(
% 119.15/15.38 visFreeVar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),veabs)|~spl0_529),
% 119.15/15.38 inference(component_clause,[status(thm)],[f36072])).
% 119.15/15.38 fof(f36080,plain,(
% 119.15/15.38 spl0_531 <=> vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_24,sk0_25,veabs),sk0_26)),
% 119.15/15.38 introduced(split_symbol_definition)).
% 119.15/15.38 fof(f36082,plain,(
% 119.15/15.38 ~vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_24,sk0_25,veabs),sk0_26)|spl0_531),
% 119.15/15.38 inference(component_clause,[status(thm)],[f36080])).
% 119.15/15.38 fof(f36083,plain,(
% 119.15/15.38 visFreeVar(vgensym(vapp(vapp(sk0_23,veabs),vvar(sk0_22))),veabs)|~vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_24,sk0_25,veabs),sk0_26)|~spl0_345),
% 119.15/15.38 inference(resolution,[status(thm)],[f24419,f7842])).
% 119.15/15.38 fof(f36084,plain,(
% 119.15/15.38 spl0_529|~spl0_531|~spl0_345),
% 119.15/15.38 inference(split_clause,[status(thm)],[f36083,f36072,f36080,f22330])).
% 119.15/15.38 fof(f36095,plain,(
% 119.15/15.38 $false|spl0_531),
% 119.15/15.38 inference(forward_subsumption_resolution,[status(thm)],[f36082,f295])).
% 119.15/15.38 fof(f36096,plain,(
% 119.15/15.38 spl0_531),
% 119.15/15.38 inference(contradiction_clause,[status(thm)],[f36095])).
% 119.15/15.38 fof(f36097,plain,(
% 119.15/15.38 $false|~spl0_529),
% 119.15/15.38 inference(forward_subsumption_resolution,[status(thm)],[f36073,f974])).
% 119.15/15.38 fof(f36098,plain,(
% 119.15/15.38 ~spl0_529),
% 119.15/15.38 inference(contradiction_clause,[status(thm)],[f36097])).
% 119.15/15.38 fof(f36099,plain,(
% 119.15/15.38 $false),
% 119.15/15.38 inference(sat_refutation,[status(thm)],[f6617,f34839,f36084,f36096,f36098])).
% 119.15/15.38 % SZS output end CNFRefutation for theBenchmark.p
% 119.68/15.46 % Elapsed time: 15.095556 seconds
% 119.68/15.46 % CPU time: 119.483770 seconds
% 119.68/15.46 % Total memory used: 1.037 GB
% 119.68/15.46 % Net memory used: 1.022 GB
%------------------------------------------------------------------------------