TSTP Solution File: COM134+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:04:07 EDT 2023
% Result : Theorem 70.77s 9.27s
% Output : CNFRefutation 70.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 12:02:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 70.77/9.27 % Refutation found
% 70.77/9.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 70.77/9.27 % SZS output start CNFRefutation for theBenchmark
% 70.77/9.27 fof(f3,axiom,(
% 70.77/9.27 (! [VExp0,VExp1,VExp2,VExp3] :( ( vapp(VExp0,VExp1) = vapp(VExp2,VExp3)=> ( VExp0 = VExp2& VExp1 = VExp3 ) )& ( ( VExp0 = VExp2& VExp1 = VExp3 )=> vapp(VExp0,VExp1) = vapp(VExp2,VExp3) ) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f4,axiom,(
% 70.77/9.27 (! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f5,axiom,(
% 70.77/9.27 (! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f6,axiom,(
% 70.77/9.27 (! [VVar0,VTyp0,VExp0,VExp1,VExp2] : vabs(VVar0,VTyp0,VExp0) != vapp(VExp1,VExp2) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f9,axiom,(
% 70.77/9.27 (! [Ve1,Ve2,VExp0] :( VExp0 = vapp(Ve1,Ve2)=> ~ visValue(VExp0) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f21,axiom,(
% 70.77/9.27 (! [VOptTyp0,RESULT,Ve] :( VOptTyp0 = vsomeType(Ve)=> ( RESULT = vgetSomeType(VOptTyp0)=> RESULT = Ve ) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f28,axiom,(
% 70.77/9.27 (! [Vv,Ve] :( vgensym(Ve) = Vv=> ~ visFreeVar(Vv,Ve) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f31,axiom,(
% 70.77/9.27 (! [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)) ) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f38,axiom,(
% 70.77/9.27 (! [VExp0] : vnoExp != vsomeExp(VExp0) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f39,axiom,(
% 70.77/9.27 (! [VOptExp0] :( VOptExp0 = vnoExp=> ~ visSomeExp(VOptExp0) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f41,axiom,(
% 70.77/9.27 (! [VOptExp0,RESULT,Ve] :( VOptExp0 = vsomeExp(Ve)=> ( RESULT = vgetSomeExp(VOptExp0)=> RESULT = Ve ) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f43,axiom,(
% 70.77/9.27 (! [Vx,VS,Ve,VExp0,RESULT] :( VExp0 = vabs(Vx,VS,Ve)=> ( RESULT = vreduce(VExp0)=> RESULT = vnoExp ) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f53,axiom,(
% 70.77/9.27 (! [VS,VC,Ve1,Ve2,VT] :( ( vtcheck(VC,Ve1,varrow(VS,VT))& vtcheck(VC,Ve2,VS) )=> vtcheck(VC,vapp(Ve1,Ve2),VT) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f54,axiom,(
% 70.77/9.27 (! [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) ) )) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f58,axiom,(
% 70.77/9.27 (! [VT,VC,Vx,Ve,VT2] :( ( vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),ve1,VT2) )=> vtcheck(VC,vsubst(Vx,Ve,ve1),VT2) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f59,axiom,(
% 70.77/9.27 (! [VT,VC,Vx,Ve,VT2] :( ( vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),ve2,VT2) )=> vtcheck(VC,vsubst(Vx,Ve,ve2),VT2) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f60,conjecture,(
% 70.77/9.27 (! [VT,VC,Vx,Ve,VT2] :( ( vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vapp(ve1,ve2),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vapp(ve1,ve2)),VT2) ) )),
% 70.77/9.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 70.77/9.27 fof(f61,negated_conjecture,(
% 70.77/9.27 ~((! [VT,VC,Vx,Ve,VT2] :( ( vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vapp(ve1,ve2),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vapp(ve1,ve2)),VT2) ) ))),
% 70.77/9.27 inference(negated_conjecture,[status(cth)],[f60])).
% 70.77/9.27 fof(f72,plain,(
% 70.77/9.27 ![VExp0,VExp1,VExp2,VExp3]: ((~vapp(VExp0,VExp1)=vapp(VExp2,VExp3)|(VExp0=VExp2&VExp1=VExp3))&((~VExp0=VExp2|~VExp1=VExp3)|vapp(VExp0,VExp1)=vapp(VExp2,VExp3)))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 70.77/9.27 fof(f73,plain,(
% 70.77/9.27 (![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)))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f72])).
% 70.77/9.27 fof(f74,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (~vapp(X0,X1)=vapp(X2,X3)|X0=X2)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f73])).
% 70.77/9.27 fof(f75,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (~vapp(X0,X1)=vapp(X2,X3)|X1=X3)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f73])).
% 70.77/9.27 fof(f77,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (~vvar(X0)=vabs(X1,X2,X3))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f4])).
% 70.77/9.27 fof(f78,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~vvar(X0)=vapp(X1,X2))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f5])).
% 70.77/9.27 fof(f79,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4]: (~vabs(X0,X1,X2)=vapp(X3,X4))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f6])).
% 70.77/9.27 fof(f86,plain,(
% 70.77/9.27 ![Ve1,Ve2,VExp0]: (~VExp0=vapp(Ve1,Ve2)|~visValue(VExp0))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 70.77/9.27 fof(f87,plain,(
% 70.77/9.27 ![VExp0]: ((![Ve1,Ve2]: ~VExp0=vapp(Ve1,Ve2))|~visValue(VExp0))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f86])).
% 70.77/9.27 fof(f88,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~X0=vapp(X1,X2)|~visValue(X0))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f87])).
% 70.77/9.27 fof(f124,plain,(
% 70.77/9.27 ![VOptTyp0,RESULT,Ve]: (~VOptTyp0=vsomeType(Ve)|(~RESULT=vgetSomeType(VOptTyp0)|RESULT=Ve))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 70.77/9.27 fof(f125,plain,(
% 70.77/9.27 ![VOptTyp0,Ve]: (~VOptTyp0=vsomeType(Ve)|(![RESULT]: (~RESULT=vgetSomeType(VOptTyp0)|RESULT=Ve)))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f124])).
% 70.77/9.27 fof(f126,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~X0=vsomeType(X1)|~X2=vgetSomeType(X0)|X2=X1)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f125])).
% 70.77/9.27 fof(f150,plain,(
% 70.77/9.27 ![Vv,Ve]: (~vgensym(Ve)=Vv|~visFreeVar(Vv,Ve))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 70.77/9.27 fof(f151,plain,(
% 70.77/9.27 ![X0,X1]: (~vgensym(X0)=X1|~visFreeVar(X1,X0))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f150])).
% 70.77/9.27 fof(f158,plain,(
% 70.77/9.27 ![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))))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 70.77/9.27 fof(f159,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f158])).
% 70.77/9.27 fof(f160,plain,(
% 70.77/9.27 ![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)))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f159])).
% 70.77/9.27 fof(f187,plain,(
% 70.77/9.27 ![X0]: (~vnoExp=vsomeExp(X0))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f38])).
% 70.77/9.27 fof(f188,plain,(
% 70.77/9.27 ![VOptExp0]: (~VOptExp0=vnoExp|~visSomeExp(VOptExp0))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 70.77/9.27 fof(f189,plain,(
% 70.77/9.27 ![X0]: (~X0=vnoExp|~visSomeExp(X0))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f188])).
% 70.77/9.27 fof(f193,plain,(
% 70.77/9.27 ![VOptExp0,RESULT,Ve]: (~VOptExp0=vsomeExp(Ve)|(~RESULT=vgetSomeExp(VOptExp0)|RESULT=Ve))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 70.77/9.27 fof(f194,plain,(
% 70.77/9.27 ![VOptExp0,Ve]: (~VOptExp0=vsomeExp(Ve)|(![RESULT]: (~RESULT=vgetSomeExp(VOptExp0)|RESULT=Ve)))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f193])).
% 70.77/9.27 fof(f195,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~X0=vsomeExp(X1)|~X2=vgetSomeExp(X0)|X2=X1)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f194])).
% 70.77/9.27 fof(f199,plain,(
% 70.77/9.27 ![Vx,VS,Ve,VExp0,RESULT]: (~VExp0=vabs(Vx,VS,Ve)|(~RESULT=vreduce(VExp0)|RESULT=vnoExp))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 70.77/9.27 fof(f200,plain,(
% 70.77/9.27 ![VExp0]: ((![Vx,VS,Ve]: ~VExp0=vabs(Vx,VS,Ve))|(![RESULT]: (~RESULT=vreduce(VExp0)|RESULT=vnoExp)))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f199])).
% 70.77/9.27 fof(f201,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4]: (~X0=vabs(X1,X2,X3)|~X4=vreduce(X0)|X4=vnoExp)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f200])).
% 70.77/9.27 fof(f238,plain,(
% 70.77/9.27 ![VS,VC,Ve1,Ve2,VT]: ((~vtcheck(VC,Ve1,varrow(VS,VT))|~vtcheck(VC,Ve2,VS))|vtcheck(VC,vapp(Ve1,Ve2),VT))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 70.77/9.27 fof(f239,plain,(
% 70.77/9.27 ![VC,Ve1,Ve2,VT]: ((![VS]: (~vtcheck(VC,Ve1,varrow(VS,VT))|~vtcheck(VC,Ve2,VS)))|vtcheck(VC,vapp(Ve1,Ve2),VT))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f238])).
% 70.77/9.27 fof(f240,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4]: (~vtcheck(X0,X1,varrow(X2,X3))|~vtcheck(X0,X4,X2)|vtcheck(X0,vapp(X1,X4),X3))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f239])).
% 70.77/9.27 fof(f241,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 70.77/9.27 fof(f242,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 introduced(predicate_definition,[f241])).
% 70.77/9.27 fof(f243,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(formula_renaming,[status(thm)],[f241,f242])).
% 70.77/9.27 fof(f244,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f243])).
% 70.77/9.27 fof(f245,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(skolemization,[status(esa)],[f244])).
% 70.77/9.27 fof(f246,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|pd0_3(X0,X2,X1)|X1=vapp(sk0_20(X0,X2,X1),sk0_18(X0,X2,X1)))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f245])).
% 70.77/9.27 fof(f247,plain,(
% 70.77/9.27 ![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)))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f245])).
% 70.77/9.27 fof(f248,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~vtcheck(X0,X1,X2)|pd0_3(X0,X2,X1)|vtcheck(X0,sk0_18(X0,X2,X1),sk0_19(X0,X2,X1)))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f245])).
% 70.77/9.27 fof(f258,plain,(
% 70.77/9.27 ![VT,VC,Vx,Ve,VT2]: ((~vtcheck(VC,Ve,VT)|~vtcheck(vbind(Vx,VT,VC),ve1,VT2))|vtcheck(VC,vsubst(Vx,Ve,ve1),VT2))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 70.77/9.27 fof(f259,plain,(
% 70.77/9.27 ![VC,Vx,Ve,VT2]: ((![VT]: (~vtcheck(VC,Ve,VT)|~vtcheck(vbind(Vx,VT,VC),ve1,VT2)))|vtcheck(VC,vsubst(Vx,Ve,ve1),VT2))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f258])).
% 70.77/9.27 fof(f260,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4]: (~vtcheck(X0,X1,X2)|~vtcheck(vbind(X3,X2,X0),ve1,X4)|vtcheck(X0,vsubst(X3,X1,ve1),X4))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f259])).
% 70.77/9.27 fof(f261,plain,(
% 70.77/9.27 ![VT,VC,Vx,Ve,VT2]: ((~vtcheck(VC,Ve,VT)|~vtcheck(vbind(Vx,VT,VC),ve2,VT2))|vtcheck(VC,vsubst(Vx,Ve,ve2),VT2))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 70.77/9.27 fof(f262,plain,(
% 70.77/9.27 ![VC,Vx,Ve,VT2]: ((![VT]: (~vtcheck(VC,Ve,VT)|~vtcheck(vbind(Vx,VT,VC),ve2,VT2)))|vtcheck(VC,vsubst(Vx,Ve,ve2),VT2))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f261])).
% 70.77/9.27 fof(f263,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4]: (~vtcheck(X0,X1,X2)|~vtcheck(vbind(X3,X2,X0),ve2,X4)|vtcheck(X0,vsubst(X3,X1,ve2),X4))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f262])).
% 70.77/9.27 fof(f264,plain,(
% 70.77/9.27 (?[VT,VC,Vx,Ve,VT2]: ((vtcheck(VC,Ve,VT)&vtcheck(vbind(Vx,VT,VC),vapp(ve1,ve2),VT2))&~vtcheck(VC,vsubst(Vx,Ve,vapp(ve1,ve2)),VT2)))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f61])).
% 70.77/9.27 fof(f265,plain,(
% 70.77/9.27 ?[VC,Vx,Ve,VT2]: ((?[VT]: (vtcheck(VC,Ve,VT)&vtcheck(vbind(Vx,VT,VC),vapp(ve1,ve2),VT2)))&~vtcheck(VC,vsubst(Vx,Ve,vapp(ve1,ve2)),VT2))),
% 70.77/9.27 inference(miniscoping,[status(esa)],[f264])).
% 70.77/9.27 fof(f266,plain,(
% 70.77/9.27 ((vtcheck(sk0_21,sk0_23,sk0_25)&vtcheck(vbind(sk0_22,sk0_25,sk0_21),vapp(ve1,ve2),sk0_24))&~vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vapp(ve1,ve2)),sk0_24))),
% 70.77/9.27 inference(skolemization,[status(esa)],[f265])).
% 70.77/9.27 fof(f267,plain,(
% 70.77/9.27 vtcheck(sk0_21,sk0_23,sk0_25)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f266])).
% 70.77/9.27 fof(f268,plain,(
% 70.77/9.27 vtcheck(vbind(sk0_22,sk0_25,sk0_21),vapp(ve1,ve2),sk0_24)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f266])).
% 70.77/9.27 fof(f269,plain,(
% 70.77/9.27 ~vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vapp(ve1,ve2)),sk0_24)),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f266])).
% 70.77/9.27 fof(f300,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f242])).
% 70.77/9.27 fof(f301,plain,(
% 70.77/9.27 ![Ve,VT,VC,Vx]: (pd0_7(Vx,VC,VT,Ve)=>(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))),
% 70.77/9.27 introduced(predicate_definition,[f300])).
% 70.77/9.27 fof(f302,plain,(
% 70.77/9.27 ![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)))))),
% 70.77/9.27 inference(formula_renaming,[status(thm)],[f300,f301])).
% 70.77/9.27 fof(f303,plain,(
% 70.77/9.27 ![Ve,VT,VC]: (~pd0_3(VC,VT,Ve)|(pd0_7(sk0_40(VC,VT,Ve),VC,VT,Ve)|((Ve=vabs(sk0_41(VC,VT,Ve),sk0_43(VC,VT,Ve),sk0_42(VC,VT,Ve))&VT=varrow(sk0_43(VC,VT,Ve),sk0_44(VC,VT,Ve)))&vtcheck(vbind(sk0_41(VC,VT,Ve),sk0_43(VC,VT,Ve),VC),sk0_42(VC,VT,Ve),sk0_44(VC,VT,Ve)))))),
% 70.77/9.27 inference(skolemization,[status(esa)],[f302])).
% 70.77/9.27 fof(f304,plain,(
% 70.77/9.27 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|pd0_7(sk0_40(X0,X1,X2),X0,X1,X2)|X2=vabs(sk0_41(X0,X1,X2),sk0_43(X0,X1,X2),sk0_42(X0,X1,X2)))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f303])).
% 70.77/9.27 fof(f331,plain,(
% 70.77/9.27 ![Ve,VT,VC,Vx]: (~pd0_7(Vx,VC,VT,Ve)|(Ve=vvar(Vx)&vlookup(Vx,VC)=vsomeType(VT)))),
% 70.77/9.27 inference(pre_NNF_transformation,[status(esa)],[f301])).
% 70.77/9.27 fof(f332,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (~pd0_7(X0,X1,X2,X3)|X3=vvar(X0))),
% 70.77/9.27 inference(cnf_transformation,[status(esa)],[f331])).
% 70.77/9.27 fof(f401,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4,X5]: (~X0=vapp(X1,X2)|~X3=vsubst(X4,X5,X0)|X3=vapp(vsubst(X4,X5,X1),vsubst(X4,X5,X2)))),
% 70.77/9.27 inference(destructive_equality_resolution,[status(esa)],[f160])).
% 70.77/9.27 fof(f406,plain,(
% 70.77/9.27 ![X0,X1]: (~vtcheck(vbind(X0,sk0_25,sk0_21),ve1,X1)|vtcheck(sk0_21,vsubst(X0,sk0_23,ve1),X1))),
% 70.77/9.27 inference(resolution,[status(thm)],[f260,f267])).
% 70.77/9.27 fof(f408,plain,(
% 70.77/9.27 ![X0,X1]: (~vtcheck(vbind(X0,sk0_25,sk0_21),ve2,X1)|vtcheck(sk0_21,vsubst(X0,sk0_23,ve2),X1))),
% 70.77/9.27 inference(resolution,[status(thm)],[f263,f267])).
% 70.77/9.27 fof(f413,plain,(
% 70.77/9.27 ![X0,X1,X2,X3,X4]: (~X0=vsubst(X1,X2,vapp(X3,X4))|X0=vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)))),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f401])).
% 70.77/9.27 fof(f2209,plain,(
% 70.77/9.27 ![X0,X1]: (~X0=vgetSomeType(vsomeType(X1))|X0=X1)),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f126])).
% 70.77/9.27 fof(f2854,plain,(
% 70.77/9.27 ![X0]: (vgetSomeType(vsomeType(X0))=X0)),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f2209])).
% 70.77/9.27 fof(f2880,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (vgetSomeType(vsomeType(vsubst(X0,X1,vapp(X2,X3))))=vapp(vsubst(X0,X1,X2),vsubst(X0,X1,X3)))),
% 70.77/9.27 inference(resolution,[status(thm)],[f2854,f413])).
% 70.77/9.27 fof(f2910,plain,(
% 70.77/9.27 ![X0,X1]: (~X0=vgetSomeExp(vgetSomeType(vsomeType(vsomeExp(X1))))|X0=X1)),
% 70.77/9.27 inference(resolution,[status(thm)],[f195,f2854])).
% 70.77/9.27 fof(f2911,plain,(
% 70.77/9.27 ![X0,X1]: (~X0=vgetSomeExp(vsomeExp(X1))|X0=X1)),
% 70.77/9.27 inference(forward_demodulation,[status(thm)],[f2854,f2910])).
% 70.77/9.27 fof(f2914,plain,(
% 70.77/9.27 ![X0]: (vgetSomeExp(vsomeExp(X0))=X0)),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f2911])).
% 70.77/9.27 fof(f3192,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (~X0=vreduce(vgetSomeExp(vsomeExp(vabs(X1,X2,X3))))|X0=vnoExp)),
% 70.77/9.27 inference(resolution,[status(thm)],[f201,f2914])).
% 70.77/9.27 fof(f3193,plain,(
% 70.77/9.27 ![X0,X1,X2,X3]: (~X0=vreduce(vabs(X1,X2,X3))|X0=vnoExp)),
% 70.77/9.27 inference(forward_demodulation,[status(thm)],[f2914,f3192])).
% 70.77/9.27 fof(f3204,plain,(
% 70.77/9.27 ![X0,X1,X2]: (vreduce(vabs(X0,X1,X2))=vnoExp)),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f3193])).
% 70.77/9.27 fof(f4360,plain,(
% 70.77/9.27 spl0_34 <=> pd0_3(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4361,plain,(
% 70.77/9.27 pd0_3(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|~spl0_34),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4360])).
% 70.77/9.27 fof(f4363,plain,(
% 70.77/9.27 spl0_35 <=> vapp(ve1,ve2)=vapp(sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4364,plain,(
% 70.77/9.27 vapp(ve1,ve2)=vapp(sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_35),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4363])).
% 70.77/9.27 fof(f4366,plain,(
% 70.77/9.27 pd0_3(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|vapp(ve1,ve2)=vapp(sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))),
% 70.77/9.27 inference(resolution,[status(thm)],[f246,f268])).
% 70.77/9.27 fof(f4367,plain,(
% 70.77/9.27 spl0_34|spl0_35),
% 70.77/9.27 inference(split_clause,[status(thm)],[f4366,f4360,f4363])).
% 70.77/9.27 fof(f4383,plain,(
% 70.77/9.27 spl0_38 <=> vtcheck(vbind(sk0_22,sk0_25,sk0_21),sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4384,plain,(
% 70.77/9.27 vtcheck(vbind(sk0_22,sk0_25,sk0_21),sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24))|~spl0_38),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4383])).
% 70.77/9.27 fof(f4386,plain,(
% 70.77/9.27 pd0_3(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|vtcheck(vbind(sk0_22,sk0_25,sk0_21),sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24))),
% 70.77/9.27 inference(resolution,[status(thm)],[f247,f268])).
% 70.77/9.27 fof(f4387,plain,(
% 70.77/9.27 spl0_34|spl0_38),
% 70.77/9.27 inference(split_clause,[status(thm)],[f4386,f4360,f4383])).
% 70.77/9.27 fof(f4418,plain,(
% 70.77/9.27 spl0_44 <=> vabs(sk0_22,sk0_25,vapp(ve1,ve2))=vapp(sk0_20(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))),sk0_18(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4419,plain,(
% 70.77/9.27 vabs(sk0_22,sk0_25,vapp(ve1,ve2))=vapp(sk0_20(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))),sk0_18(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))))|~spl0_44),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4418])).
% 70.77/9.27 fof(f4451,plain,(
% 70.77/9.27 spl0_46 <=> pd0_7(sk0_40(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4452,plain,(
% 70.77/9.27 pd0_7(sk0_40(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|~spl0_46),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4451])).
% 70.77/9.27 fof(f4454,plain,(
% 70.77/9.27 spl0_47 <=> vapp(ve1,ve2)=vabs(sk0_41(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_43(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_42(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4455,plain,(
% 70.77/9.27 vapp(ve1,ve2)=vabs(sk0_41(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_43(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_42(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_47),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4454])).
% 70.77/9.27 fof(f4457,plain,(
% 70.77/9.27 pd0_7(sk0_40(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|vapp(ve1,ve2)=vabs(sk0_41(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_43(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_42(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_34),
% 70.77/9.27 inference(resolution,[status(thm)],[f4361,f304])).
% 70.77/9.27 fof(f4458,plain,(
% 70.77/9.27 spl0_46|spl0_47|~spl0_34),
% 70.77/9.27 inference(split_clause,[status(thm)],[f4457,f4451,f4454,f4360])).
% 70.77/9.27 fof(f4806,plain,(
% 70.77/9.27 spl0_64 <=> pd0_7(sk0_40(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))),sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4807,plain,(
% 70.77/9.27 pd0_7(sk0_40(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))),sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2)))|~spl0_64),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4806])).
% 70.77/9.27 fof(f4815,plain,(
% 70.77/9.27 vapp(ve1,ve2)=vvar(sk0_40(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_46),
% 70.77/9.27 inference(resolution,[status(thm)],[f4452,f332])).
% 70.77/9.27 fof(f4816,plain,(
% 70.77/9.27 $false|~spl0_46),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f4815,f78])).
% 70.77/9.27 fof(f4817,plain,(
% 70.77/9.27 ~spl0_46),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f4816])).
% 70.77/9.27 fof(f4818,plain,(
% 70.77/9.27 $false|~spl0_47),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f4455,f79])).
% 70.77/9.27 fof(f4819,plain,(
% 70.77/9.27 ~spl0_47),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f4818])).
% 70.77/9.27 fof(f4995,plain,(
% 70.77/9.27 spl0_66 <=> vtcheck(vbind(sk0_22,sk0_25,sk0_21),sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f4996,plain,(
% 70.77/9.27 vtcheck(vbind(sk0_22,sk0_25,sk0_21),sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_66),
% 70.77/9.27 inference(component_clause,[status(thm)],[f4995])).
% 70.77/9.27 fof(f4998,plain,(
% 70.77/9.27 pd0_3(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|vtcheck(vbind(sk0_22,sk0_25,sk0_21),sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))),
% 70.77/9.27 inference(resolution,[status(thm)],[f248,f268])).
% 70.77/9.27 fof(f4999,plain,(
% 70.77/9.27 spl0_34|spl0_66),
% 70.77/9.27 inference(split_clause,[status(thm)],[f4998,f4360,f4995])).
% 70.77/9.27 fof(f5203,plain,(
% 70.77/9.27 ve2=sk0_18(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|~spl0_35),
% 70.77/9.27 inference(resolution,[status(thm)],[f4364,f75])).
% 70.77/9.27 fof(f5204,plain,(
% 70.77/9.27 ve1=sk0_20(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))|~spl0_35),
% 70.77/9.27 inference(resolution,[status(thm)],[f4364,f74])).
% 70.77/9.27 fof(f5254,plain,(
% 70.77/9.27 spl0_93 <=> ~vapp(X0,ve2)=vapp(ve1,ve2)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f5255,plain,(
% 70.77/9.27 ![X0]: (~vapp(X0,ve2)=vapp(ve1,ve2)|~spl0_93)),
% 70.77/9.27 inference(component_clause,[status(thm)],[f5254])).
% 70.77/9.27 fof(f5392,plain,(
% 70.77/9.27 $false|~spl0_93),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f5255])).
% 70.77/9.27 fof(f5393,plain,(
% 70.77/9.27 ~spl0_93),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f5392])).
% 70.77/9.27 fof(f5858,plain,(
% 70.77/9.27 spl0_120 <=> ~vapp(ve1,X0)=vapp(ve1,ve2)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f5859,plain,(
% 70.77/9.27 ![X0]: (~vapp(ve1,X0)=vapp(ve1,ve2)|~spl0_120)),
% 70.77/9.27 inference(component_clause,[status(thm)],[f5858])).
% 70.77/9.27 fof(f5880,plain,(
% 70.77/9.27 $false|~spl0_120),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f5859])).
% 70.77/9.27 fof(f5881,plain,(
% 70.77/9.27 ~spl0_120),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f5880])).
% 70.77/9.27 fof(f6263,plain,(
% 70.77/9.27 $false|~spl0_44),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f4419,f79])).
% 70.77/9.27 fof(f6264,plain,(
% 70.77/9.27 ~spl0_44),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f6263])).
% 70.77/9.27 fof(f6748,plain,(
% 70.77/9.27 vtcheck(vbind(sk0_22,sk0_25,sk0_21),ve2,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_35|~spl0_66),
% 70.77/9.27 inference(backward_demodulation,[status(thm)],[f5203,f4996])).
% 70.77/9.27 fof(f6750,plain,(
% 70.77/9.27 vtcheck(sk0_21,vsubst(sk0_22,sk0_23,ve2),sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|~spl0_35|~spl0_66),
% 70.77/9.27 inference(resolution,[status(thm)],[f6748,f408])).
% 70.77/9.27 fof(f6915,plain,(
% 70.77/9.27 vtcheck(vbind(sk0_22,sk0_25,sk0_21),ve1,varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24))|~spl0_35|~spl0_38),
% 70.77/9.27 inference(backward_demodulation,[status(thm)],[f5204,f4384])).
% 70.77/9.27 fof(f7042,plain,(
% 70.77/9.27 vtcheck(sk0_21,vsubst(sk0_22,sk0_23,ve1),varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24))|~spl0_35|~spl0_38),
% 70.77/9.27 inference(resolution,[status(thm)],[f6915,f406])).
% 70.77/9.27 fof(f7628,plain,(
% 70.77/9.27 spl0_189 <=> vabs(sk0_22,sk0_25,ve1)=vapp(sk0_20(sk0_21,varrow(sk0_25,varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24)),vabs(sk0_22,sk0_25,ve1)),sk0_18(sk0_21,varrow(sk0_25,varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24)),vabs(sk0_22,sk0_25,ve1)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f7629,plain,(
% 70.77/9.27 vabs(sk0_22,sk0_25,ve1)=vapp(sk0_20(sk0_21,varrow(sk0_25,varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24)),vabs(sk0_22,sk0_25,ve1)),sk0_18(sk0_21,varrow(sk0_25,varrow(sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),sk0_24)),vabs(sk0_22,sk0_25,ve1)))|~spl0_189),
% 70.77/9.27 inference(component_clause,[status(thm)],[f7628])).
% 70.77/9.27 fof(f7637,plain,(
% 70.77/9.27 $false|~spl0_189),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f7629,f79])).
% 70.77/9.27 fof(f7638,plain,(
% 70.77/9.27 ~spl0_189),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f7637])).
% 70.77/9.27 fof(f7751,plain,(
% 70.77/9.27 spl0_195 <=> visFreeVar(X0,ve1)|visFreeVar(X0,ve1)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f7752,plain,(
% 70.77/9.27 ![X0]: (visFreeVar(X0,ve1)|visFreeVar(X0,ve1)|~spl0_195)),
% 70.77/9.27 inference(component_clause,[status(thm)],[f7751])).
% 70.77/9.27 fof(f7767,plain,(
% 70.77/9.27 ![X0]: (visFreeVar(X0,ve1)|~spl0_195)),
% 70.77/9.27 inference(duplicate_literals_removal,[status(esa)],[f7752])).
% 70.77/9.27 fof(f7978,plain,(
% 70.77/9.27 spl0_204 <=> vabs(sk0_22,sk0_25,ve2)=vapp(sk0_20(sk0_21,varrow(sk0_25,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))),vabs(sk0_22,sk0_25,ve2)),sk0_18(sk0_21,varrow(sk0_25,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))),vabs(sk0_22,sk0_25,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f7979,plain,(
% 70.77/9.27 vabs(sk0_22,sk0_25,ve2)=vapp(sk0_20(sk0_21,varrow(sk0_25,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))),vabs(sk0_22,sk0_25,ve2)),sk0_18(sk0_21,varrow(sk0_25,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2))),vabs(sk0_22,sk0_25,ve2)))|~spl0_204),
% 70.77/9.27 inference(component_clause,[status(thm)],[f7978])).
% 70.77/9.27 fof(f7987,plain,(
% 70.77/9.27 $false|~spl0_204),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f7979,f79])).
% 70.77/9.27 fof(f7988,plain,(
% 70.77/9.27 ~spl0_204),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f7987])).
% 70.77/9.27 fof(f8011,plain,(
% 70.77/9.27 spl0_208 <=> visFreeVar(X0,ve2)|visFreeVar(X0,ve2)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f8012,plain,(
% 70.77/9.27 ![X0]: (visFreeVar(X0,ve2)|visFreeVar(X0,ve2)|~spl0_208)),
% 70.77/9.27 inference(component_clause,[status(thm)],[f8011])).
% 70.77/9.27 fof(f8026,plain,(
% 70.77/9.27 ![X0]: (visFreeVar(X0,ve2)|~spl0_208)),
% 70.77/9.27 inference(duplicate_literals_removal,[status(esa)],[f8012])).
% 70.77/9.27 fof(f8282,plain,(
% 70.77/9.27 spl0_220 <=> vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,sk0_23),sk0_71(vnoExp,sk0_23),sk0_72(vnoExp,sk0_23)),vgetSomeExp(sk0_73(vnoExp,sk0_23))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f8283,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,sk0_23),sk0_71(vnoExp,sk0_23),sk0_72(vnoExp,sk0_23)),vgetSomeExp(sk0_73(vnoExp,sk0_23))))|~spl0_220),
% 70.77/9.27 inference(component_clause,[status(thm)],[f8282])).
% 70.77/9.27 fof(f8287,plain,(
% 70.77/9.27 $false|~spl0_220),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f8283,f187])).
% 70.77/9.27 fof(f8288,plain,(
% 70.77/9.27 ~spl0_220),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f8287])).
% 70.77/9.27 fof(f9013,plain,(
% 70.77/9.27 ![X0]: (~vgensym(ve1)=X0|~spl0_195)),
% 70.77/9.27 inference(resolution,[status(thm)],[f7767,f151])).
% 70.77/9.27 fof(f9046,plain,(
% 70.77/9.27 ![X0]: (~vgensym(ve2)=X0|~spl0_208)),
% 70.77/9.27 inference(resolution,[status(thm)],[f8026,f151])).
% 70.77/9.27 fof(f9073,plain,(
% 70.77/9.27 $false|~spl0_195),
% 70.77/9.27 inference(resolution,[status(thm)],[f9013,f2914])).
% 70.77/9.27 fof(f9074,plain,(
% 70.77/9.27 ~spl0_195),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f9073])).
% 70.77/9.27 fof(f9095,plain,(
% 70.77/9.27 $false|~spl0_208),
% 70.77/9.27 inference(resolution,[status(thm)],[f9046,f2914])).
% 70.77/9.27 fof(f9096,plain,(
% 70.77/9.27 ~spl0_208),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f9095])).
% 70.77/9.27 fof(f9127,plain,(
% 70.77/9.27 spl0_273 <=> vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,sk0_23)),sk0_38(vnoExp,sk0_23)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f9128,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,sk0_23)),sk0_38(vnoExp,sk0_23)))|~spl0_273),
% 70.77/9.27 inference(component_clause,[status(thm)],[f9127])).
% 70.77/9.27 fof(f9149,plain,(
% 70.77/9.27 $false|~spl0_273),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f9128,f187])).
% 70.77/9.27 fof(f9150,plain,(
% 70.77/9.27 ~spl0_273),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f9149])).
% 70.77/9.27 fof(f9347,plain,(
% 70.77/9.27 spl0_277 <=> visSomeExp(vnoExp)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f9348,plain,(
% 70.77/9.27 visSomeExp(vnoExp)|~spl0_277),
% 70.77/9.27 inference(component_clause,[status(thm)],[f9347])).
% 70.77/9.27 fof(f9368,plain,(
% 70.77/9.27 spl0_282 <=> ~X0=vnoExp|visSomeExp(X0)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f9369,plain,(
% 70.77/9.27 ![X0]: (~X0=vnoExp|visSomeExp(X0)|~spl0_282)),
% 70.77/9.27 inference(component_clause,[status(thm)],[f9368])).
% 70.77/9.27 fof(f9378,plain,(
% 70.77/9.27 ![X0]: (~X0=vnoExp|~spl0_282)),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f9369,f189])).
% 70.77/9.27 fof(f9750,plain,(
% 70.77/9.27 ![X0]: (~vtcheck(sk0_21,X0,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)))|vtcheck(sk0_21,vapp(vsubst(sk0_22,sk0_23,ve1),X0),sk0_24)|~spl0_35|~spl0_38)),
% 70.77/9.27 inference(resolution,[status(thm)],[f7042,f240])).
% 70.77/9.27 fof(f9814,plain,(
% 70.77/9.27 ~vnoExp=vnoExp|~spl0_277),
% 70.77/9.27 inference(resolution,[status(thm)],[f189,f9348])).
% 70.77/9.27 fof(f9815,plain,(
% 70.77/9.27 $false|~spl0_277),
% 70.77/9.27 inference(trivial_equality_resolution,[status(esa)],[f9814])).
% 70.77/9.27 fof(f9816,plain,(
% 70.77/9.27 ~spl0_277),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f9815])).
% 70.77/9.27 fof(f10406,plain,(
% 70.77/9.27 spl0_317 <=> ve1=ve1),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f10408,plain,(
% 70.77/9.27 ~ve1=ve1|spl0_317),
% 70.77/9.27 inference(component_clause,[status(thm)],[f10406])).
% 70.77/9.27 fof(f10584,plain,(
% 70.77/9.27 $false|spl0_317),
% 70.77/9.27 inference(trivial_equality_resolution,[status(esa)],[f10408])).
% 70.77/9.27 fof(f10585,plain,(
% 70.77/9.27 spl0_317),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f10584])).
% 70.77/9.27 fof(f10695,plain,(
% 70.77/9.27 spl0_353 <=> ve2=ve2),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f10697,plain,(
% 70.77/9.27 ~ve2=ve2|spl0_353),
% 70.77/9.27 inference(component_clause,[status(thm)],[f10695])).
% 70.77/9.27 fof(f10875,plain,(
% 70.77/9.27 $false|spl0_353),
% 70.77/9.27 inference(trivial_equality_resolution,[status(esa)],[f10697])).
% 70.77/9.27 fof(f10876,plain,(
% 70.77/9.27 spl0_353),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f10875])).
% 70.77/9.27 fof(f10987,plain,(
% 70.77/9.27 spl0_387 <=> vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,ve2)),sk0_38(vnoExp,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f10988,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,ve2)),sk0_38(vnoExp,ve2)))|~spl0_387),
% 70.77/9.27 inference(component_clause,[status(thm)],[f10987])).
% 70.77/9.27 fof(f11012,plain,(
% 70.77/9.27 $false|~spl0_387),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f10988,f187])).
% 70.77/9.27 fof(f11013,plain,(
% 70.77/9.27 ~spl0_387),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11012])).
% 70.77/9.27 fof(f11064,plain,(
% 70.77/9.27 spl0_396 <=> vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,ve2),sk0_60(vnoExp,ve2),sk0_61(vnoExp,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11065,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,ve2),sk0_60(vnoExp,ve2),sk0_61(vnoExp,ve2)))|~spl0_396),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11064])).
% 70.77/9.27 fof(f11084,plain,(
% 70.77/9.27 $false|~spl0_396),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f11065,f187])).
% 70.77/9.27 fof(f11085,plain,(
% 70.77/9.27 ~spl0_396),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11084])).
% 70.77/9.27 fof(f11089,plain,(
% 70.77/9.27 spl0_401 <=> vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,ve2),sk0_71(vnoExp,ve2),sk0_72(vnoExp,ve2)),vgetSomeExp(sk0_73(vnoExp,ve2))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11090,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,ve2),sk0_71(vnoExp,ve2),sk0_72(vnoExp,ve2)),vgetSomeExp(sk0_73(vnoExp,ve2))))|~spl0_401),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11089])).
% 70.77/9.27 fof(f11109,plain,(
% 70.77/9.27 $false|~spl0_401),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f11090,f187])).
% 70.77/9.27 fof(f11110,plain,(
% 70.77/9.27 ~spl0_401),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11109])).
% 70.77/9.27 fof(f11434,plain,(
% 70.77/9.27 spl0_446 <=> visValue(vapp(ve1,ve2))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11435,plain,(
% 70.77/9.27 visValue(vapp(ve1,ve2))|~spl0_446),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11434])).
% 70.77/9.27 fof(f11485,plain,(
% 70.77/9.27 ![X0,X1]: (~vapp(ve1,ve2)=vapp(X0,X1)|~spl0_446)),
% 70.77/9.27 inference(resolution,[status(thm)],[f11435,f88])).
% 70.77/9.27 fof(f11612,plain,(
% 70.77/9.27 spl0_455 <=> vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,vapp(ve1,ve2))),sk0_38(vnoExp,vapp(ve1,ve2))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11613,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,vapp(ve1,ve2))),sk0_38(vnoExp,vapp(ve1,ve2))))|~spl0_455),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11612])).
% 70.77/9.27 fof(f11637,plain,(
% 70.77/9.27 $false|~spl0_455),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f11613,f187])).
% 70.77/9.27 fof(f11638,plain,(
% 70.77/9.27 ~spl0_455),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11637])).
% 70.77/9.27 fof(f11695,plain,(
% 70.77/9.27 spl0_464 <=> vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,vapp(ve1,ve2)),sk0_60(vnoExp,vapp(ve1,ve2)),sk0_61(vnoExp,vapp(ve1,ve2))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11696,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,vapp(ve1,ve2)),sk0_60(vnoExp,vapp(ve1,ve2)),sk0_61(vnoExp,vapp(ve1,ve2))))|~spl0_464),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11695])).
% 70.77/9.27 fof(f11715,plain,(
% 70.77/9.27 $false|~spl0_464),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f11696,f187])).
% 70.77/9.27 fof(f11716,plain,(
% 70.77/9.27 ~spl0_464),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11715])).
% 70.77/9.27 fof(f11720,plain,(
% 70.77/9.27 spl0_469 <=> vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,vapp(ve1,ve2)),sk0_71(vnoExp,vapp(ve1,ve2)),sk0_72(vnoExp,vapp(ve1,ve2))),vgetSomeExp(sk0_73(vnoExp,vapp(ve1,ve2)))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11721,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,vapp(ve1,ve2)),sk0_71(vnoExp,vapp(ve1,ve2)),sk0_72(vnoExp,vapp(ve1,ve2))),vgetSomeExp(sk0_73(vnoExp,vapp(ve1,ve2)))))|~spl0_469),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11720])).
% 70.77/9.27 fof(f11740,plain,(
% 70.77/9.27 $false|~spl0_469),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f11721,f187])).
% 70.77/9.27 fof(f11741,plain,(
% 70.77/9.27 ~spl0_469),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11740])).
% 70.77/9.27 fof(f11745,plain,(
% 70.77/9.27 spl0_474 <=> vapp(ve1,ve2)=vabs(sk0_76(vnoExp,vapp(ve1,ve2)),sk0_77(vnoExp,vapp(ve1,ve2)),sk0_78(vnoExp,vapp(ve1,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f11746,plain,(
% 70.77/9.27 vapp(ve1,ve2)=vabs(sk0_76(vnoExp,vapp(ve1,ve2)),sk0_77(vnoExp,vapp(ve1,ve2)),sk0_78(vnoExp,vapp(ve1,ve2)))|~spl0_474),
% 70.77/9.27 inference(component_clause,[status(thm)],[f11745])).
% 70.77/9.27 fof(f11750,plain,(
% 70.77/9.27 $false|~spl0_474),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f11746,f79])).
% 70.77/9.27 fof(f11751,plain,(
% 70.77/9.27 ~spl0_474),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f11750])).
% 70.77/9.27 fof(f12267,plain,(
% 70.77/9.27 spl0_487 <=> vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,sk0_23),sk0_60(vnoExp,sk0_23),sk0_61(vnoExp,sk0_23)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f12268,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,sk0_23),sk0_60(vnoExp,sk0_23),sk0_61(vnoExp,sk0_23)))|~spl0_487),
% 70.77/9.27 inference(component_clause,[status(thm)],[f12267])).
% 70.77/9.27 fof(f12989,plain,(
% 70.77/9.27 spl0_508 <=> pd0_7(sk0_40(sk0_21,sk0_24,vapp(ve1,ve2)),sk0_21,sk0_24,vapp(ve1,ve2))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f12990,plain,(
% 70.77/9.27 pd0_7(sk0_40(sk0_21,sk0_24,vapp(ve1,ve2)),sk0_21,sk0_24,vapp(ve1,ve2))|~spl0_508),
% 70.77/9.27 inference(component_clause,[status(thm)],[f12989])).
% 70.77/9.27 fof(f13002,plain,(
% 70.77/9.27 spl0_511 <=> vapp(ve1,ve2)=vabs(sk0_41(sk0_21,sk0_24,vapp(ve1,ve2)),sk0_43(sk0_21,sk0_24,vapp(ve1,ve2)),sk0_42(sk0_21,sk0_24,vapp(ve1,ve2)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f13003,plain,(
% 70.77/9.27 vapp(ve1,ve2)=vabs(sk0_41(sk0_21,sk0_24,vapp(ve1,ve2)),sk0_43(sk0_21,sk0_24,vapp(ve1,ve2)),sk0_42(sk0_21,sk0_24,vapp(ve1,ve2)))|~spl0_511),
% 70.77/9.27 inference(component_clause,[status(thm)],[f13002])).
% 70.77/9.27 fof(f13007,plain,(
% 70.77/9.27 $false|~spl0_511),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f13003,f79])).
% 70.77/9.27 fof(f13008,plain,(
% 70.77/9.27 ~spl0_511),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f13007])).
% 70.77/9.27 fof(f13010,plain,(
% 70.77/9.27 vapp(ve1,ve2)=vvar(sk0_40(sk0_21,sk0_24,vapp(ve1,ve2)))|~spl0_508),
% 70.77/9.27 inference(resolution,[status(thm)],[f12990,f332])).
% 70.77/9.27 fof(f13011,plain,(
% 70.77/9.27 $false|~spl0_508),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f13010,f78])).
% 70.77/9.27 fof(f13012,plain,(
% 70.77/9.27 ~spl0_508),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f13011])).
% 70.77/9.27 fof(f13974,plain,(
% 70.77/9.27 spl0_523 <=> vapp(ve1,ve2)=vapp(ve1,ve2)),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f13976,plain,(
% 70.77/9.27 ~vapp(ve1,ve2)=vapp(ve1,ve2)|spl0_523),
% 70.77/9.27 inference(component_clause,[status(thm)],[f13974])).
% 70.77/9.27 fof(f14080,plain,(
% 70.77/9.27 $false|spl0_523),
% 70.77/9.27 inference(trivial_equality_resolution,[status(esa)],[f13976])).
% 70.77/9.27 fof(f14081,plain,(
% 70.77/9.27 spl0_523),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f14080])).
% 70.77/9.27 fof(f15704,plain,(
% 70.77/9.27 spl0_573 <=> vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,sk0_50(vnoExp,sk0_23))),sk0_38(vnoExp,sk0_50(vnoExp,sk0_23))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f15705,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vgetSomeExp(sk0_37(vnoExp,sk0_50(vnoExp,sk0_23))),sk0_38(vnoExp,sk0_50(vnoExp,sk0_23))))|~spl0_573),
% 70.77/9.27 inference(component_clause,[status(thm)],[f15704])).
% 70.77/9.27 fof(f15729,plain,(
% 70.77/9.27 $false|~spl0_573),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f15705,f187])).
% 70.77/9.27 fof(f15730,plain,(
% 70.77/9.27 ~spl0_573),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f15729])).
% 70.77/9.27 fof(f15749,plain,(
% 70.77/9.27 spl0_582 <=> vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_60(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_61(vnoExp,sk0_50(vnoExp,sk0_23))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f15750,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vsubst(sk0_59(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_60(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_61(vnoExp,sk0_50(vnoExp,sk0_23))))|~spl0_582),
% 70.77/9.27 inference(component_clause,[status(thm)],[f15749])).
% 70.77/9.27 fof(f15769,plain,(
% 70.77/9.27 $false|~spl0_582),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f15750,f187])).
% 70.77/9.27 fof(f15770,plain,(
% 70.77/9.27 ~spl0_582),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f15769])).
% 70.77/9.27 fof(f15774,plain,(
% 70.77/9.27 spl0_587 <=> vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_71(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_72(vnoExp,sk0_50(vnoExp,sk0_23))),vgetSomeExp(sk0_73(vnoExp,sk0_50(vnoExp,sk0_23)))))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f15775,plain,(
% 70.77/9.27 vnoExp=vsomeExp(vapp(vabs(sk0_70(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_71(vnoExp,sk0_50(vnoExp,sk0_23)),sk0_72(vnoExp,sk0_50(vnoExp,sk0_23))),vgetSomeExp(sk0_73(vnoExp,sk0_50(vnoExp,sk0_23)))))|~spl0_587),
% 70.77/9.27 inference(component_clause,[status(thm)],[f15774])).
% 70.77/9.27 fof(f15794,plain,(
% 70.77/9.27 $false|~spl0_587),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f15775,f187])).
% 70.77/9.27 fof(f15795,plain,(
% 70.77/9.27 ~spl0_587),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f15794])).
% 70.77/9.27 fof(f15969,plain,(
% 70.77/9.27 $false|~spl0_282),
% 70.77/9.27 inference(backward_subsumption_resolution,[status(thm)],[f3204,f9378])).
% 70.77/9.27 fof(f15970,plain,(
% 70.77/9.27 ~spl0_282),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f15969])).
% 70.77/9.27 fof(f22757,plain,(
% 70.77/9.27 vabs(sk0_22,sk0_25,vapp(ve1,ve2))=vvar(sk0_40(sk0_21,varrow(sk0_25,sk0_24),vabs(sk0_22,sk0_25,vapp(ve1,ve2))))|~spl0_64),
% 70.77/9.27 inference(resolution,[status(thm)],[f4807,f332])).
% 70.77/9.27 fof(f22758,plain,(
% 70.77/9.27 $false|~spl0_64),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f22757,f77])).
% 70.77/9.27 fof(f22759,plain,(
% 70.77/9.27 ~spl0_64),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f22758])).
% 70.77/9.27 fof(f25226,plain,(
% 70.77/9.27 $false|~spl0_446),
% 70.77/9.27 inference(equality_resolution,[status(esa)],[f11485])).
% 70.77/9.27 fof(f25227,plain,(
% 70.77/9.27 ~spl0_446),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f25226])).
% 70.77/9.27 fof(f28400,plain,(
% 70.77/9.27 $false|~spl0_487),
% 70.77/9.27 inference(forward_subsumption_resolution,[status(thm)],[f12268,f187])).
% 70.77/9.27 fof(f28401,plain,(
% 70.77/9.27 ~spl0_487),
% 70.77/9.27 inference(contradiction_clause,[status(thm)],[f28400])).
% 70.77/9.27 fof(f28880,plain,(
% 70.77/9.27 spl0_927 <=> vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)))=vabs(sk0_4(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),sk0_5(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),vsubst(sk0_6(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),sk0_7(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),sk0_8(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22)))),
% 70.77/9.27 introduced(split_symbol_definition)).
% 70.77/9.27 fof(f28881,plain,(
% 70.77/9.27 vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)))=vabs(sk0_4(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),sk0_5(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),vsubst(sk0_6(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),sk0_7(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22),sk0_8(vapp(sk0_20(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2)),sk0_18(sk0_21,sk0_19(vbind(sk0_22,sk0_25,sk0_21),sk0_24,vapp(ve1,ve2)),vsubst(sk0_22,sk0_23,ve2))),ve2,sk0_23,sk0_22)))|~spl0_927),
% 70.87/9.32 inference(component_clause,[status(thm)],[f28880])).
% 70.87/9.32 fof(f29136,plain,(
% 70.87/9.32 $false|~spl0_927),
% 70.87/9.32 inference(forward_subsumption_resolution,[status(thm)],[f28881,f79])).
% 70.87/9.32 fof(f29137,plain,(
% 70.87/9.32 ~spl0_927),
% 70.87/9.32 inference(contradiction_clause,[status(thm)],[f29136])).
% 70.87/9.32 fof(f31441,plain,(
% 70.87/9.32 vtcheck(sk0_21,vapp(vsubst(sk0_22,sk0_23,ve1),vsubst(sk0_22,sk0_23,ve2)),sk0_24)|~spl0_38|~spl0_35|~spl0_66),
% 70.87/9.32 inference(resolution,[status(thm)],[f9750,f6750])).
% 70.87/9.32 fof(f31442,plain,(
% 70.87/9.32 vtcheck(sk0_21,vgetSomeType(vsomeType(vsubst(sk0_22,sk0_23,vapp(ve1,ve2)))),sk0_24)|~spl0_38|~spl0_35|~spl0_66),
% 70.87/9.32 inference(forward_demodulation,[status(thm)],[f2880,f31441])).
% 70.87/9.32 fof(f31443,plain,(
% 70.87/9.32 vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vapp(ve1,ve2)),sk0_24)|~spl0_38|~spl0_35|~spl0_66),
% 70.87/9.32 inference(forward_demodulation,[status(thm)],[f2854,f31442])).
% 70.87/9.32 fof(f31444,plain,(
% 70.87/9.32 $false|~spl0_38|~spl0_35|~spl0_66),
% 70.87/9.32 inference(forward_subsumption_resolution,[status(thm)],[f31443,f269])).
% 70.87/9.32 fof(f31445,plain,(
% 70.87/9.32 ~spl0_38|~spl0_35|~spl0_66),
% 70.87/9.32 inference(contradiction_clause,[status(thm)],[f31444])).
% 70.87/9.32 fof(f31446,plain,(
% 70.87/9.32 $false),
% 70.87/9.32 inference(sat_refutation,[status(thm)],[f4367,f4387,f4458,f4817,f4819,f4999,f5393,f5881,f6264,f7638,f7988,f8288,f9074,f9096,f9150,f9816,f10585,f10876,f11013,f11085,f11110,f11638,f11716,f11741,f11751,f13008,f13012,f14081,f15730,f15770,f15795,f15970,f22759,f25227,f28401,f29137,f31445])).
% 70.87/9.32 % SZS output end CNFRefutation for theBenchmark.p
% 71.38/9.38 % Elapsed time: 9.024892 seconds
% 71.38/9.38 % CPU time: 71.469050 seconds
% 71.38/9.38 % Memory used: 836.303 MB
%------------------------------------------------------------------------------