TSTP Solution File: COM137+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM137+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 122.31s 15.80s
% Output : CNFRefutation 122.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : COM137+1 : TPTP v8.1.2. Released v6.4.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:57:33 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 122.31/15.80 % Refutation found
% 122.31/15.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 122.31/15.80 % SZS output start CNFRefutation for theBenchmark
% 122.31/15.80 fof(f3,axiom,(
% 122.31/15.80 (! [VExp0,VExp1,VExp2,VExp3] :( ( vapp(VExp0,VExp1) = vapp(VExp2,VExp3)=> ( VExp0 = VExp2& VExp1 = VExp3 ) )& ( ( VExp0 = VExp2& VExp1 = VExp3 )=> vapp(VExp0,VExp1) = vapp(VExp2,VExp3) ) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f5,axiom,(
% 122.31/15.80 (! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f6,axiom,(
% 122.31/15.80 (! [VVar0,VTyp0,VExp0,VExp1,VExp2] : vabs(VVar0,VTyp0,VExp0) != vapp(VExp1,VExp2) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f11,axiom,(
% 122.31/15.80 (! [VT,VVar0,VExp0,Vx,Vv,Ve] :( ( VVar0 = Vv& VExp0 = vabs(Vx,VT,Ve) )=> ( ( ( Vx != Vv& visFreeVar(Vv,Ve) )=> visFreeVar(VVar0,VExp0) )& ( visFreeVar(VVar0,VExp0)=> ( Vx != Vv& visFreeVar(Vv,Ve) ) ) ) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f12,axiom,(
% 122.31/15.80 (! [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) ) ) ) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f29,axiom,(
% 122.31/15.80 (! [Vx,Vy,VVar0,VExp0,VExp1,RESULT,Ve] :( ( VVar0 = Vx& VExp0 = Ve& VExp1 = vvar(Vy) )=> ( Vx = Vy=> ( RESULT = vsubst(VVar0,VExp0,VExp1)=> RESULT = Ve ) ) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f31,axiom,(
% 122.31/15.80 (! [VVar0,VExp0,VExp1,RESULT,Ve1,Vx,Ve,Ve2] :( ( VVar0 = Vx& VExp0 = Ve& VExp1 = vapp(Ve1,Ve2) )=> ( RESULT = vsubst(VVar0,VExp0,VExp1)=> RESULT = vapp(vsubst(Vx,Ve,Ve1),vsubst(Vx,Ve,Ve2)) ) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f34,axiom,(
% 122.31/15.80 (! [VVar0,VExp0,VExp1,RESULT,Vy,VT,Vx,Ve,Ve1] :( ( VVar0 = Vx& VExp0 = Ve& VExp1 = vabs(Vy,VT,Ve1) )=> ( ( Vx != Vy& ~ visFreeVar(Vy,Ve) )=> ( RESULT = vsubst(VVar0,VExp0,VExp1)=> RESULT = vabs(Vy,VT,vsubst(Vx,Ve,Ve1)) ) ) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f53,axiom,(
% 122.31/15.80 (! [VS,VC,Ve1,Ve2,VT] :( ( vtcheck(VC,Ve1,varrow(VS,VT))& vtcheck(VC,Ve2,VS) )=> vtcheck(VC,vapp(Ve1,Ve2),VT) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f54,axiom,(
% 122.31/15.80 (! [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) ) )) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f56,axiom,(
% 122.31/15.80 (! [Vx,VS,VC,VT] :( ( ~ visFreeVar(Vx,ve1app)& vtcheck(vbind(Vx,VS,VC),ve1app,VT) )=> vtcheck(VC,ve1app,VT) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f57,axiom,(
% 122.31/15.80 (! [Vx,VS,VC,VT] :( ( ~ visFreeVar(Vx,ve2app)& vtcheck(vbind(Vx,VS,VC),ve2app,VT) )=> vtcheck(VC,ve2app,VT) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f58,conjecture,(
% 122.31/15.80 (! [Vx,VS,VC,VT] :( ( ~ visFreeVar(Vx,vapp(ve1app,ve2app))& vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT) )=> vtcheck(VC,vapp(ve1app,ve2app),VT) ) )),
% 122.31/15.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 122.31/15.80 fof(f59,negated_conjecture,(
% 122.31/15.80 ~((! [Vx,VS,VC,VT] :( ( ~ visFreeVar(Vx,vapp(ve1app,ve2app))& vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT) )=> vtcheck(VC,vapp(ve1app,ve2app),VT) ) ))),
% 122.31/15.80 inference(negated_conjecture,[status(cth)],[f58])).
% 122.31/15.80 fof(f70,plain,(
% 122.31/15.80 ![VExp0,VExp1,VExp2,VExp3]: ((~vapp(VExp0,VExp1)=vapp(VExp2,VExp3)|(VExp0=VExp2&VExp1=VExp3))&((~VExp0=VExp2|~VExp1=VExp3)|vapp(VExp0,VExp1)=vapp(VExp2,VExp3)))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 122.31/15.80 fof(f71,plain,(
% 122.31/15.80 (![VExp0,VExp1,VExp2,VExp3]: (~vapp(VExp0,VExp1)=vapp(VExp2,VExp3)|(VExp0=VExp2&VExp1=VExp3)))&(![VExp0,VExp1,VExp2,VExp3]: ((~VExp0=VExp2|~VExp1=VExp3)|vapp(VExp0,VExp1)=vapp(VExp2,VExp3)))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f70])).
% 122.31/15.80 fof(f72,plain,(
% 122.31/15.80 ![X0,X1,X2,X3]: (~vapp(X0,X1)=vapp(X2,X3)|X0=X2)),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f71])).
% 122.31/15.80 fof(f73,plain,(
% 122.31/15.80 ![X0,X1,X2,X3]: (~vapp(X0,X1)=vapp(X2,X3)|X1=X3)),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f71])).
% 122.31/15.80 fof(f76,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~vvar(X0)=vapp(X1,X2))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f5])).
% 122.31/15.80 fof(f77,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~vabs(X0,X1,X2)=vapp(X3,X4))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f6])).
% 122.31/15.80 fof(f90,plain,(
% 122.31/15.80 ![VT,VVar0,VExp0,Vx,Vv,Ve]: ((~VVar0=Vv|~VExp0=vabs(Vx,VT,Ve))|(((Vx=Vv|~visFreeVar(Vv,Ve))|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|(~Vx=Vv&visFreeVar(Vv,Ve)))))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 122.31/15.80 fof(f91,plain,(
% 122.31/15.80 ![VVar0,VExp0,Vx,Vv,Ve]: ((~VVar0=Vv|(![VT]: ~VExp0=vabs(Vx,VT,Ve)))|(((Vx=Vv|~visFreeVar(Vv,Ve))|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|(~Vx=Vv&visFreeVar(Vv,Ve)))))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f90])).
% 122.31/15.80 fof(f93,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4,X5]: (~X0=X1|~X2=vabs(X3,X4,X5)|~visFreeVar(X0,X2)|~X3=X1)),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f91])).
% 122.31/15.80 fof(f95,plain,(
% 122.31/15.80 ![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)))))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 122.31/15.80 fof(f96,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X3)|visFreeVar(X0,X2))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f95])).
% 122.31/15.80 fof(f97,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X4)|visFreeVar(X0,X2))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f95])).
% 122.31/15.80 fof(f98,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X0,X2)|visFreeVar(X1,X3)|visFreeVar(X1,X4))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f95])).
% 122.31/15.80 fof(f150,plain,(
% 122.31/15.80 ![Vx,Vy,VVar0,VExp0,VExp1,RESULT,Ve]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vvar(Vy))|(~Vx=Vy|(~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=Ve)))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 122.31/15.80 fof(f151,plain,(
% 122.31/15.80 ![Vx,Vy,VVar0,VExp0,VExp1,Ve]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vvar(Vy))|(~Vx=Vy|(![RESULT]: (~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=Ve))))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f150])).
% 122.31/15.80 fof(f152,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4,X5,X6]: (~X0=X1|~X2=X3|~X4=vvar(X5)|~X1=X5|~X6=vsubst(X0,X2,X4)|X6=X3)),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f151])).
% 122.31/15.80 fof(f156,plain,(
% 122.31/15.80 ![VVar0,VExp0,VExp1,RESULT,Ve1,Vx,Ve,Ve2]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vapp(Ve1,Ve2))|(~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vapp(vsubst(Vx,Ve,Ve1),vsubst(Vx,Ve,Ve2))))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 122.31/15.80 fof(f157,plain,(
% 122.31/15.80 ![VVar0,VExp0,VExp1,Ve1,Vx,Ve,Ve2]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vapp(Ve1,Ve2))|(![RESULT]: (~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vapp(vsubst(Vx,Ve,Ve1),vsubst(Vx,Ve,Ve2)))))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f156])).
% 122.31/15.80 fof(f158,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~X0=X1|~X2=X3|~X4=vapp(X5,X6)|~X7=vsubst(X0,X2,X4)|X7=vapp(vsubst(X1,X3,X5),vsubst(X1,X3,X6)))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f157])).
% 122.31/15.80 fof(f165,plain,(
% 122.31/15.80 ![VVar0,VExp0,VExp1,RESULT,Vy,VT,Vx,Ve,Ve1]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vabs(Vy,VT,Ve1))|((Vx=Vy|visFreeVar(Vy,Ve))|(~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vabs(Vy,VT,vsubst(Vx,Ve,Ve1)))))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 122.31/15.80 fof(f166,plain,(
% 122.31/15.80 ![VVar0,VExp0,VExp1,Vy,VT,Vx,Ve,Ve1]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vabs(Vy,VT,Ve1))|((Vx=Vy|visFreeVar(Vy,Ve))|(![RESULT]: (~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vabs(Vy,VT,vsubst(Vx,Ve,Ve1))))))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f165])).
% 122.31/15.80 fof(f167,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~X0=X1|~X2=X3|~X4=vabs(X5,X6,X7)|X1=X5|visFreeVar(X5,X3)|~X8=vsubst(X0,X2,X4)|X8=vabs(X5,X6,vsubst(X1,X3,X7)))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f166])).
% 122.31/15.80 fof(f236,plain,(
% 122.31/15.80 ![VS,VC,Ve1,Ve2,VT]: ((~vtcheck(VC,Ve1,varrow(VS,VT))|~vtcheck(VC,Ve2,VS))|vtcheck(VC,vapp(Ve1,Ve2),VT))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 122.31/15.80 fof(f237,plain,(
% 122.31/15.80 ![VC,Ve1,Ve2,VT]: ((![VS]: (~vtcheck(VC,Ve1,varrow(VS,VT))|~vtcheck(VC,Ve2,VS)))|vtcheck(VC,vapp(Ve1,Ve2),VT))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f236])).
% 122.31/15.80 fof(f238,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~vtcheck(X0,X1,varrow(X2,X3))|~vtcheck(X0,X4,X2)|vtcheck(X0,vapp(X1,X4),X3))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f237])).
% 122.31/15.80 fof(f239,plain,(
% 122.31/15.80 ![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)))))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 122.31/15.80 fof(f240,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (pd0_3(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)))))),
% 122.31/15.80 introduced(predicate_definition,[f239])).
% 122.31/15.80 fof(f241,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(pd0_3(VC,VT,Ve)|(?[Ve1,Ve2,VS]: ((Ve=vapp(Ve1,Ve2)&vtcheck(VC,Ve1,varrow(VS,VT)))&vtcheck(VC,Ve2,VS)))))),
% 122.31/15.80 inference(formula_renaming,[status(thm)],[f239,f240])).
% 122.31/15.80 fof(f242,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(pd0_3(VC,VT,Ve)|(?[Ve2,VS]: ((?[Ve1]: (Ve=vapp(Ve1,Ve2)&vtcheck(VC,Ve1,varrow(VS,VT))))&vtcheck(VC,Ve2,VS)))))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f241])).
% 122.31/15.80 fof(f243,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (~vtcheck(VC,Ve,VT)|(pd0_3(VC,VT,Ve)|((Ve=vapp(sk0_20(VC,VT,Ve),sk0_18(VC,VT,Ve))&vtcheck(VC,sk0_20(VC,VT,Ve),varrow(sk0_19(VC,VT,Ve),VT)))&vtcheck(VC,sk0_18(VC,VT,Ve),sk0_19(VC,VT,Ve)))))),
% 122.31/15.80 inference(skolemization,[status(esa)],[f242])).
% 122.31/15.80 fof(f244,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|pd0_3(X0,X2,X1)|X1=vapp(sk0_20(X0,X2,X1),sk0_18(X0,X2,X1)))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f243])).
% 122.31/15.80 fof(f245,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|pd0_3(X0,X2,X1)|vtcheck(X0,sk0_20(X0,X2,X1),varrow(sk0_19(X0,X2,X1),X2)))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f243])).
% 122.31/15.80 fof(f246,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|pd0_3(X0,X2,X1)|vtcheck(X0,sk0_18(X0,X2,X1),sk0_19(X0,X2,X1)))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f243])).
% 122.31/15.80 fof(f250,plain,(
% 122.31/15.80 ![Vx,VS,VC,VT]: ((visFreeVar(Vx,ve1app)|~vtcheck(vbind(Vx,VS,VC),ve1app,VT))|vtcheck(VC,ve1app,VT))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 122.31/15.80 fof(f251,plain,(
% 122.31/15.80 ![VC,VT]: ((![Vx]: (visFreeVar(Vx,ve1app)|(![VS]: ~vtcheck(vbind(Vx,VS,VC),ve1app,VT))))|vtcheck(VC,ve1app,VT))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f250])).
% 122.31/15.80 fof(f252,plain,(
% 122.31/15.80 ![X0,X1,X2,X3]: (visFreeVar(X0,ve1app)|~vtcheck(vbind(X0,X1,X2),ve1app,X3)|vtcheck(X2,ve1app,X3))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f251])).
% 122.31/15.80 fof(f253,plain,(
% 122.31/15.80 ![Vx,VS,VC,VT]: ((visFreeVar(Vx,ve2app)|~vtcheck(vbind(Vx,VS,VC),ve2app,VT))|vtcheck(VC,ve2app,VT))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 122.31/15.80 fof(f254,plain,(
% 122.31/15.80 ![VC,VT]: ((![Vx]: (visFreeVar(Vx,ve2app)|(![VS]: ~vtcheck(vbind(Vx,VS,VC),ve2app,VT))))|vtcheck(VC,ve2app,VT))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f253])).
% 122.31/15.80 fof(f255,plain,(
% 122.31/15.80 ![X0,X1,X2,X3]: (visFreeVar(X0,ve2app)|~vtcheck(vbind(X0,X1,X2),ve2app,X3)|vtcheck(X2,ve2app,X3))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f254])).
% 122.31/15.80 fof(f256,plain,(
% 122.31/15.80 (?[Vx,VS,VC,VT]: ((~visFreeVar(Vx,vapp(ve1app,ve2app))&vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT))&~vtcheck(VC,vapp(ve1app,ve2app),VT)))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 122.31/15.80 fof(f257,plain,(
% 122.31/15.80 ?[VC,VT]: ((?[Vx]: (~visFreeVar(Vx,vapp(ve1app,ve2app))&(?[VS]: vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT))))&~vtcheck(VC,vapp(ve1app,ve2app),VT))),
% 122.31/15.80 inference(miniscoping,[status(esa)],[f256])).
% 122.31/15.80 fof(f258,plain,(
% 122.31/15.80 ((~visFreeVar(sk0_23,vapp(ve1app,ve2app))&vtcheck(vbind(sk0_23,sk0_24,sk0_21),vapp(ve1app,ve2app),sk0_22))&~vtcheck(sk0_21,vapp(ve1app,ve2app),sk0_22))),
% 122.31/15.80 inference(skolemization,[status(esa)],[f257])).
% 122.31/15.80 fof(f259,plain,(
% 122.31/15.80 ~visFreeVar(sk0_23,vapp(ve1app,ve2app))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f258])).
% 122.31/15.80 fof(f260,plain,(
% 122.31/15.80 vtcheck(vbind(sk0_23,sk0_24,sk0_21),vapp(ve1app,ve2app),sk0_22)),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f258])).
% 122.31/15.80 fof(f261,plain,(
% 122.31/15.80 ~vtcheck(sk0_21,vapp(ve1app,ve2app),sk0_22)),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f258])).
% 122.31/15.80 fof(f292,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (~pd0_3(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)))))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f240])).
% 122.31/15.80 fof(f293,plain,(
% 122.31/15.80 ![Ve,VT,VC,Vx]: (pd0_7(Vx,VC,VT,Ve)=>(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))),
% 122.31/15.80 introduced(predicate_definition,[f292])).
% 122.31/15.80 fof(f294,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (~pd0_3(VC,VT,Ve)|((?[Vx]: pd0_7(Vx,VC,VT,Ve))|(?[Vx,Ve2,VT1,VT2]: ((Ve=vabs(Vx,VT1,Ve2)&VT=varrow(VT1,VT2))&vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)))))),
% 122.31/15.80 inference(formula_renaming,[status(thm)],[f292,f293])).
% 122.31/15.80 fof(f295,plain,(
% 122.31/15.80 ![Ve,VT,VC]: (~pd0_3(VC,VT,Ve)|(pd0_7(sk0_39(VC,VT,Ve),VC,VT,Ve)|((Ve=vabs(sk0_40(VC,VT,Ve),sk0_42(VC,VT,Ve),sk0_41(VC,VT,Ve))&VT=varrow(sk0_42(VC,VT,Ve),sk0_43(VC,VT,Ve)))&vtcheck(vbind(sk0_40(VC,VT,Ve),sk0_42(VC,VT,Ve),VC),sk0_41(VC,VT,Ve),sk0_43(VC,VT,Ve)))))),
% 122.31/15.80 inference(skolemization,[status(esa)],[f294])).
% 122.31/15.80 fof(f296,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|pd0_7(sk0_39(X0,X1,X2),X0,X1,X2)|X2=vabs(sk0_40(X0,X1,X2),sk0_42(X0,X1,X2),sk0_41(X0,X1,X2)))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f295])).
% 122.31/15.80 fof(f323,plain,(
% 122.31/15.80 ![Ve,VT,VC,Vx]: (~pd0_7(Vx,VC,VT,Ve)|(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))),
% 122.31/15.80 inference(pre_NNF_transformation,[status(esa)],[f293])).
% 122.31/15.80 fof(f324,plain,(
% 122.31/15.80 ![X0,X1,X2,X3]: (~pd0_7(X0,X1,X2,X3)|X3=vvar(X0))),
% 122.31/15.80 inference(cnf_transformation,[status(esa)],[f323])).
% 122.31/15.80 fof(f385,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~visFreeVar(X0,vabs(X0,X1,X2)))),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f93])).
% 122.31/15.80 fof(f387,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X1,X2)))),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f96])).
% 122.31/15.80 fof(f388,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X2,X1)))),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f97])).
% 122.31/15.80 fof(f389,plain,(
% 122.31/15.80 ![X0,X1,X2]: (~visFreeVar(X0,vapp(X1,X2))|visFreeVar(X0,X1)|visFreeVar(X0,X2))),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f98])).
% 122.31/15.80 fof(f402,plain,(
% 122.31/15.80 ![X0,X1]: (vsubst(X0,X1,vvar(X0))=X1)),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f152])).
% 122.31/15.80 fof(f404,plain,(
% 122.31/15.80 ![X0,X1,X2,X3]: (vsubst(X0,X1,vapp(X2,X3))=vapp(vsubst(X0,X1,X2),vsubst(X0,X1,X3)))),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 122.31/15.80 fof(f407,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (X0=X1|visFreeVar(X1,X2)|vsubst(X0,X2,vabs(X1,X3,X4))=vabs(X1,X3,vsubst(X0,X2,X4)))),
% 122.31/15.80 inference(destructive_equality_resolution,[status(esa)],[f167])).
% 122.31/15.80 fof(f497,plain,(
% 122.31/15.80 ![X0,X1,X2]: (X0=sk0_23|vsubst(X0,vapp(ve1app,ve2app),vabs(sk0_23,X1,X2))=vabs(sk0_23,X1,vsubst(X0,vapp(ve1app,ve2app),X2)))),
% 122.31/15.80 inference(resolution,[status(thm)],[f407,f259])).
% 122.31/15.80 fof(f1282,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~vvar(X0)=vsubst(X1,X2,vapp(X3,X4)))),
% 122.31/15.80 inference(paramodulation,[status(thm)],[f404,f76])).
% 122.31/15.80 fof(f1284,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4]: (~visFreeVar(X0,vsubst(X1,X2,vapp(X3,X4)))|visFreeVar(X0,vsubst(X1,X2,X3))|visFreeVar(X0,vsubst(X1,X2,X4)))),
% 122.31/15.80 inference(paramodulation,[status(thm)],[f404,f389])).
% 122.31/15.80 fof(f5194,plain,(
% 122.31/15.80 spl0_220 <=> pd0_3(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f5195,plain,(
% 122.31/15.80 pd0_3(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|~spl0_220),
% 122.31/15.80 inference(component_clause,[status(thm)],[f5194])).
% 122.31/15.80 fof(f5197,plain,(
% 122.31/15.80 spl0_221 <=> vapp(ve1app,ve2app)=vapp(sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f5198,plain,(
% 122.31/15.80 vapp(ve1app,ve2app)=vapp(sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_221),
% 122.31/15.80 inference(component_clause,[status(thm)],[f5197])).
% 122.31/15.80 fof(f5200,plain,(
% 122.31/15.80 pd0_3(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|vapp(ve1app,ve2app)=vapp(sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))),
% 122.31/15.80 inference(resolution,[status(thm)],[f244,f260])).
% 122.31/15.80 fof(f5201,plain,(
% 122.31/15.80 spl0_220|spl0_221),
% 122.31/15.80 inference(split_clause,[status(thm)],[f5200,f5194,f5197])).
% 122.31/15.80 fof(f6513,plain,(
% 122.31/15.80 spl0_289 <=> vtcheck(vbind(sk0_23,sk0_24,sk0_21),sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f6514,plain,(
% 122.31/15.80 vtcheck(vbind(sk0_23,sk0_24,sk0_21),sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))|~spl0_289),
% 122.31/15.80 inference(component_clause,[status(thm)],[f6513])).
% 122.31/15.80 fof(f6516,plain,(
% 122.31/15.80 pd0_3(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|vtcheck(vbind(sk0_23,sk0_24,sk0_21),sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))),
% 122.31/15.80 inference(resolution,[status(thm)],[f245,f260])).
% 122.31/15.80 fof(f6517,plain,(
% 122.31/15.80 spl0_220|spl0_289),
% 122.31/15.80 inference(split_clause,[status(thm)],[f6516,f5194,f6513])).
% 122.31/15.80 fof(f6526,plain,(
% 122.31/15.80 spl0_291 <=> vtcheck(vbind(sk0_23,sk0_24,sk0_21),sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f6527,plain,(
% 122.31/15.80 vtcheck(vbind(sk0_23,sk0_24,sk0_21),sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_291),
% 122.31/15.80 inference(component_clause,[status(thm)],[f6526])).
% 122.31/15.80 fof(f6529,plain,(
% 122.31/15.80 pd0_3(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|vtcheck(vbind(sk0_23,sk0_24,sk0_21),sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))),
% 122.31/15.80 inference(resolution,[status(thm)],[f246,f260])).
% 122.31/15.80 fof(f6530,plain,(
% 122.31/15.80 spl0_220|spl0_291),
% 122.31/15.80 inference(split_clause,[status(thm)],[f6529,f5194,f6526])).
% 122.31/15.80 fof(f20516,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4,X5,X6]: (~vvar(X0)=vsubst(X1,X2,vsubst(X3,X4,vapp(X5,X6))))),
% 122.31/15.80 inference(paramodulation,[status(thm)],[f404,f1282])).
% 122.31/15.80 fof(f20555,plain,(
% 122.31/15.80 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~vvar(X0)=vsubst(X1,X2,vsubst(X3,X4,vsubst(X5,X6,vapp(X7,X8)))))),
% 122.31/15.80 inference(paramodulation,[status(thm)],[f404,f20516])).
% 122.31/15.80 fof(f24979,plain,(
% 122.31/15.80 spl0_589 <=> pd0_7(sk0_39(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f24980,plain,(
% 122.31/15.80 pd0_7(sk0_39(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|~spl0_589),
% 122.31/15.80 inference(component_clause,[status(thm)],[f24979])).
% 122.31/15.80 fof(f24982,plain,(
% 122.31/15.80 spl0_590 <=> vapp(ve1app,ve2app)=vabs(sk0_40(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_42(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_41(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f24983,plain,(
% 122.31/15.80 vapp(ve1app,ve2app)=vabs(sk0_40(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_42(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_41(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_590),
% 122.31/15.80 inference(component_clause,[status(thm)],[f24982])).
% 122.31/15.80 fof(f24985,plain,(
% 122.31/15.80 pd0_7(sk0_39(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|vapp(ve1app,ve2app)=vabs(sk0_40(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_42(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_41(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_220),
% 122.31/15.80 inference(resolution,[status(thm)],[f296,f5195])).
% 122.31/15.80 fof(f24986,plain,(
% 122.31/15.80 spl0_589|spl0_590|~spl0_220),
% 122.31/15.80 inference(split_clause,[status(thm)],[f24985,f24979,f24982,f5194])).
% 122.31/15.80 fof(f25027,plain,(
% 122.31/15.80 vapp(ve1app,ve2app)=vvar(sk0_39(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_589),
% 122.31/15.80 inference(resolution,[status(thm)],[f24980,f324])).
% 122.31/15.80 fof(f25028,plain,(
% 122.31/15.80 $false|~spl0_589),
% 122.31/15.80 inference(forward_subsumption_resolution,[status(thm)],[f25027,f76])).
% 122.31/15.80 fof(f25029,plain,(
% 122.31/15.80 ~spl0_589),
% 122.31/15.80 inference(contradiction_clause,[status(thm)],[f25028])).
% 122.31/15.80 fof(f25030,plain,(
% 122.31/15.80 $false|~spl0_590),
% 122.31/15.80 inference(forward_subsumption_resolution,[status(thm)],[f24983,f77])).
% 122.31/15.80 fof(f25031,plain,(
% 122.31/15.80 ~spl0_590),
% 122.31/15.80 inference(contradiction_clause,[status(thm)],[f25030])).
% 122.31/15.80 fof(f25036,plain,(
% 122.31/15.80 ve1app=sk0_20(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|~spl0_221),
% 122.31/15.80 inference(resolution,[status(thm)],[f5198,f72])).
% 122.31/15.80 fof(f25037,plain,(
% 122.31/15.80 ve2app=sk0_18(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app))|~spl0_221),
% 122.31/15.80 inference(resolution,[status(thm)],[f5198,f73])).
% 122.31/15.80 fof(f25240,plain,(
% 122.31/15.80 vtcheck(vbind(sk0_23,sk0_24,sk0_21),ve1app,varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))|~spl0_221|~spl0_289),
% 122.31/15.80 inference(forward_demodulation,[status(thm)],[f25036,f6514])).
% 122.31/15.80 fof(f25241,plain,(
% 122.31/15.80 spl0_611 <=> visFreeVar(sk0_23,ve1app)),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f25242,plain,(
% 122.31/15.80 visFreeVar(sk0_23,ve1app)|~spl0_611),
% 122.31/15.80 inference(component_clause,[status(thm)],[f25241])).
% 122.31/15.80 fof(f25244,plain,(
% 122.31/15.80 spl0_612 <=> vtcheck(sk0_21,ve1app,varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f25245,plain,(
% 122.31/15.80 vtcheck(sk0_21,ve1app,varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))|~spl0_612),
% 122.31/15.80 inference(component_clause,[status(thm)],[f25244])).
% 122.31/15.80 fof(f25247,plain,(
% 122.31/15.80 visFreeVar(sk0_23,ve1app)|vtcheck(sk0_21,ve1app,varrow(sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)),sk0_22))|~spl0_221|~spl0_289),
% 122.31/15.80 inference(resolution,[status(thm)],[f25240,f252])).
% 122.31/15.80 fof(f25248,plain,(
% 122.31/15.80 spl0_611|spl0_612|~spl0_221|~spl0_289),
% 122.31/15.80 inference(split_clause,[status(thm)],[f25247,f25241,f25244,f5197,f6513])).
% 122.31/15.80 fof(f25271,plain,(
% 122.31/15.80 vtcheck(vbind(sk0_23,sk0_24,sk0_21),ve2app,sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_221|~spl0_291),
% 122.31/15.80 inference(forward_demodulation,[status(thm)],[f25037,f6527])).
% 122.31/15.80 fof(f25272,plain,(
% 122.31/15.80 spl0_617 <=> visFreeVar(sk0_23,ve2app)),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f25273,plain,(
% 122.31/15.80 visFreeVar(sk0_23,ve2app)|~spl0_617),
% 122.31/15.80 inference(component_clause,[status(thm)],[f25272])).
% 122.31/15.80 fof(f25275,plain,(
% 122.31/15.80 spl0_618 <=> vtcheck(sk0_21,ve2app,sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f25276,plain,(
% 122.31/15.80 vtcheck(sk0_21,ve2app,sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_618),
% 122.31/15.80 inference(component_clause,[status(thm)],[f25275])).
% 122.31/15.80 fof(f25278,plain,(
% 122.31/15.80 visFreeVar(sk0_23,ve2app)|vtcheck(sk0_21,ve2app,sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|~spl0_221|~spl0_291),
% 122.31/15.80 inference(resolution,[status(thm)],[f25271,f255])).
% 122.31/15.80 fof(f25279,plain,(
% 122.31/15.80 spl0_617|spl0_618|~spl0_221|~spl0_291),
% 122.31/15.80 inference(split_clause,[status(thm)],[f25278,f25272,f25275,f5197,f6526])).
% 122.31/15.80 fof(f25302,plain,(
% 122.31/15.80 ![X0]: (visFreeVar(sk0_23,vapp(ve1app,X0))|~spl0_611)),
% 122.31/15.80 inference(resolution,[status(thm)],[f25242,f387])).
% 122.31/15.80 fof(f25306,plain,(
% 122.31/15.80 ![X0]: (visFreeVar(sk0_23,vapp(X0,ve2app))|~spl0_617)),
% 122.31/15.80 inference(resolution,[status(thm)],[f25273,f388])).
% 122.31/15.80 fof(f25307,plain,(
% 122.31/15.80 $false|~spl0_611),
% 122.31/15.80 inference(backward_subsumption_resolution,[status(thm)],[f259,f25302])).
% 122.31/15.80 fof(f25308,plain,(
% 122.31/15.80 ~spl0_611),
% 122.31/15.80 inference(contradiction_clause,[status(thm)],[f25307])).
% 122.31/15.80 fof(f25450,plain,(
% 122.31/15.80 $false|~spl0_617),
% 122.31/15.80 inference(forward_subsumption_resolution,[status(thm)],[f259,f25306])).
% 122.31/15.80 fof(f25451,plain,(
% 122.31/15.80 ~spl0_617),
% 122.31/15.80 inference(contradiction_clause,[status(thm)],[f25450])).
% 122.31/15.80 fof(f25687,plain,(
% 122.31/15.80 spl0_630 <=> visFreeVar(sk0_23,vsubst(X3,vapp(ve1app,ve2app),vapp(vvar(X3),vabs(sk0_23,X4,X5))))|X3=sk0_23),
% 122.31/15.80 introduced(split_symbol_definition)).
% 122.31/15.80 fof(f25688,plain,(
% 122.31/15.80 ![X0,X1,X2]: (visFreeVar(sk0_23,vsubst(X0,vapp(ve1app,ve2app),vapp(vvar(X0),vabs(sk0_23,X1,X2))))|X0=sk0_23|~spl0_630)),
% 122.83/15.83 inference(component_clause,[status(thm)],[f25687])).
% 122.83/15.83 fof(f26149,plain,(
% 122.83/15.83 ![X0,X1,X2]: (X0=sk0_23|visFreeVar(sk0_23,vsubst(X0,vapp(ve1app,ve2app),vvar(X0)))|visFreeVar(sk0_23,vsubst(X0,vapp(ve1app,ve2app),vabs(sk0_23,X1,X2)))|~spl0_630)),
% 122.83/15.83 inference(resolution,[status(thm)],[f25688,f1284])).
% 122.83/15.83 fof(f26150,plain,(
% 122.83/15.83 ![X0,X1,X2]: (X0=sk0_23|visFreeVar(sk0_23,vapp(ve1app,ve2app))|visFreeVar(sk0_23,vsubst(X0,vapp(ve1app,ve2app),vabs(sk0_23,X1,X2)))|~spl0_630)),
% 122.83/15.83 inference(forward_demodulation,[status(thm)],[f402,f26149])).
% 122.83/15.83 fof(f26151,plain,(
% 122.83/15.83 ![X0,X1,X2]: (X0=sk0_23|visFreeVar(sk0_23,vsubst(X0,vapp(ve1app,ve2app),vabs(sk0_23,X1,X2)))|~spl0_630)),
% 122.83/15.83 inference(forward_subsumption_resolution,[status(thm)],[f26150,f259])).
% 122.83/15.83 fof(f26163,plain,(
% 122.83/15.83 ![X0,X1,X2]: (X0=sk0_23|visFreeVar(sk0_23,vabs(sk0_23,X1,vsubst(X0,vapp(ve1app,ve2app),X2)))|X0=sk0_23|~spl0_630)),
% 122.83/15.83 inference(paramodulation,[status(thm)],[f497,f26151])).
% 122.83/15.83 fof(f26164,plain,(
% 122.83/15.83 ![X0,X1,X2]: (X0=sk0_23|visFreeVar(sk0_23,vabs(sk0_23,X1,vsubst(X0,vapp(ve1app,ve2app),X2)))|~spl0_630)),
% 122.83/15.83 inference(duplicate_literals_removal,[status(esa)],[f26163])).
% 122.83/15.83 fof(f26165,plain,(
% 122.83/15.83 ![X0]: (X0=sk0_23|~spl0_630)),
% 122.83/15.83 inference(forward_subsumption_resolution,[status(thm)],[f26164,f385])).
% 122.83/15.83 fof(f26176,plain,(
% 122.83/15.83 ![X0,X1]: (X0=X1|~spl0_630)),
% 122.83/15.83 inference(paramodulation,[status(thm)],[f26165,f26165])).
% 122.83/15.83 fof(f26208,plain,(
% 122.83/15.83 $false|~spl0_630),
% 122.83/15.83 inference(backward_subsumption_resolution,[status(thm)],[f20555,f26176])).
% 122.83/15.83 fof(f26209,plain,(
% 122.83/15.83 ~spl0_630),
% 122.83/15.83 inference(contradiction_clause,[status(thm)],[f26208])).
% 122.83/15.83 fof(f26454,plain,(
% 122.83/15.83 ![X0]: (~vtcheck(sk0_21,X0,sk0_19(vbind(sk0_23,sk0_24,sk0_21),sk0_22,vapp(ve1app,ve2app)))|vtcheck(sk0_21,vapp(ve1app,X0),sk0_22)|~spl0_612)),
% 122.83/15.83 inference(resolution,[status(thm)],[f25245,f238])).
% 122.83/15.83 fof(f29720,plain,(
% 122.83/15.83 vtcheck(sk0_21,vapp(ve1app,ve2app),sk0_22)|~spl0_612|~spl0_618),
% 122.83/15.83 inference(resolution,[status(thm)],[f26454,f25276])).
% 122.83/15.83 fof(f29721,plain,(
% 122.83/15.83 $false|~spl0_612|~spl0_618),
% 122.83/15.83 inference(forward_subsumption_resolution,[status(thm)],[f29720,f261])).
% 122.83/15.83 fof(f29722,plain,(
% 122.83/15.83 ~spl0_612|~spl0_618),
% 122.83/15.83 inference(contradiction_clause,[status(thm)],[f29721])).
% 122.83/15.83 fof(f29723,plain,(
% 122.83/15.83 $false),
% 122.83/15.83 inference(sat_refutation,[status(thm)],[f5201,f6517,f6530,f24986,f25029,f25031,f25248,f25279,f25308,f25451,f26209,f29722])).
% 122.83/15.83 % SZS output end CNFRefutation for theBenchmark.p
% 123.53/15.95 % Elapsed time: 15.581615 seconds
% 123.53/15.95 % CPU time: 123.320886 seconds
% 123.53/15.95 % Total memory used: 1.295 GB
% 123.53/15.95 % Net memory used: 1.255 GB
%------------------------------------------------------------------------------