TSTP Solution File: COM133+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM133+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COM133+1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:59:50 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f32,axiom,(
% 0.15/0.33 (! [Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy,VT,Ve1] :( ( VVar0 = Vx& VExp0 = Ve& VExp1 = vabs(Vy,VT,Ve1) )=> ( Vx = Vy=> ( RESULT = vsubst(VVar0,VExp0,VExp1)=> RESULT = vabs(Vy,VT,Ve1) ) ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f59,axiom,(
% 0.15/0.33 (! [VT,VC,Vx,Ve,Vy,VS,Ve1,VT2] :( ( Vx = Vy& vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,Ve1),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,Ve1)),VT2) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f60,axiom,(
% 0.15/0.33 (! [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) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f61,axiom,(
% 0.15/0.33 (! [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) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f62,conjecture,(
% 0.15/0.33 (! [VT,VC,Vx,Ve,Vy,VS,VT2] :( ( vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2) ) )),
% 0.15/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f63,negated_conjecture,(
% 0.15/0.33 ~((! [VT,VC,Vx,Ve,Vy,VS,VT2] :( ( vtcheck(VC,Ve,VT)& vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2) )=> vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2) ) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f62])).
% 0.15/0.33 fof(f163,plain,(
% 0.15/0.33 ![Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy,VT,Ve1]: (((~VVar0=Vx|~VExp0=Ve)|~VExp1=vabs(Vy,VT,Ve1))|(~Vx=Vy|(~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vabs(Vy,VT,Ve1))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.15/0.33 fof(f164,plain,(
% 0.15/0.33 ![Vx,VVar0,VExp0,VExp1,Vy,VT,Ve1]: (((~VVar0=Vx|(![Ve]: ~VExp0=Ve))|~VExp1=vabs(Vy,VT,Ve1))|(~Vx=Vy|(![RESULT]: (~RESULT=vsubst(VVar0,VExp0,VExp1)|RESULT=vabs(Vy,VT,Ve1)))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f163])).
% 0.15/0.33 fof(f165,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~X0=X1|~X2=X3|~X4=vabs(X5,X6,X7)|~X1=X5|~X8=vsubst(X0,X2,X4)|X8=vabs(X5,X6,X7))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f164])).
% 0.15/0.33 fof(f263,plain,(
% 0.15/0.33 ![VT,VC,Vx,Ve,Vy,VS,Ve1,VT2]: (((~Vx=Vy|~vtcheck(VC,Ve,VT))|~vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,Ve1),VT2))|vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,Ve1)),VT2))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.15/0.33 fof(f264,plain,(
% 0.15/0.33 ![VC,Vx,Ve,Vy,VS,Ve1,VT2]: ((![VT]: ((~Vx=Vy|~vtcheck(VC,Ve,VT))|~vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,Ve1),VT2)))|vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,Ve1)),VT2))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f263])).
% 0.15/0.33 fof(f265,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~X0=X1|~vtcheck(X2,X3,X4)|~vtcheck(vbind(X0,X4,X2),vabs(X1,X5,X6),X7)|vtcheck(X2,vsubst(X0,X3,vabs(X1,X5,X6)),X7))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f264])).
% 0.15/0.33 fof(f266,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 0.15/0.33 fof(f267,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f266])).
% 0.15/0.33 fof(f268,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6]: (X0=X1|visFreeVar(X1,X2)|~vtcheck(X3,X2,X4)|~vtcheck(vbind(X0,X4,X3),vabs(X1,X5,veabs),X6)|vtcheck(X3,vsubst(X0,X2,vabs(X1,X5,veabs)),X6))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f267])).
% 0.15/0.33 fof(f269,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f61])).
% 0.15/0.33 fof(f270,plain,(
% 0.15/0.33 ![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))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f269])).
% 0.15/0.33 fof(f271,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6]: (X0=X1|~visFreeVar(X1,X2)|~vtcheck(X3,X2,X4)|~vtcheck(vbind(X0,X4,X3),vabs(X1,X5,veabs),X6)|vtcheck(X3,vsubst(X0,X2,vabs(X1,X5,veabs)),X6))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f270])).
% 0.15/0.33 fof(f272,plain,(
% 0.15/0.33 (?[VT,VC,Vx,Ve,Vy,VS,VT2]: ((vtcheck(VC,Ve,VT)&vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2))&~vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2)))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 0.15/0.33 fof(f273,plain,(
% 0.15/0.33 ?[VC,Vx,Ve,Vy,VS,VT2]: ((?[VT]: (vtcheck(VC,Ve,VT)&vtcheck(vbind(Vx,VT,VC),vabs(Vy,VS,veabs),VT2)))&~vtcheck(VC,vsubst(Vx,Ve,vabs(Vy,VS,veabs)),VT2))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f272])).
% 0.15/0.33 fof(f274,plain,(
% 0.15/0.33 ((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))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f273])).
% 0.15/0.33 fof(f275,plain,(
% 0.15/0.33 vtcheck(sk0_21,sk0_23,sk0_27)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f274])).
% 0.15/0.33 fof(f276,plain,(
% 0.15/0.33 vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_24,sk0_25,veabs),sk0_26)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f274])).
% 0.15/0.33 fof(f277,plain,(
% 0.15/0.33 ~vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vabs(sk0_24,sk0_25,veabs)),sk0_26)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f274])).
% 0.15/0.33 fof(f421,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (vsubst(X0,X1,vabs(X0,X2,X3))=vabs(X0,X2,X3))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f165])).
% 0.15/0.33 fof(f445,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6]: (~vtcheck(X0,X1,X2)|~vtcheck(vbind(X3,X2,X0),vabs(X3,X4,X5),X6)|vtcheck(X0,vsubst(X3,X1,vabs(X3,X4,X5)),X6))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f265])).
% 0.15/0.33 fof(f456,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6]: (~vtcheck(X0,X1,X2)|~vtcheck(vbind(X3,X2,X0),vabs(X3,X4,X5),X6)|vtcheck(X0,vabs(X3,X4,X5),X6))),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f421,f445])).
% 0.15/0.33 fof(f457,plain,(
% 0.15/0.33 spl0_0 <=> sk0_22=sk0_24),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f458,plain,(
% 0.15/0.33 sk0_22=sk0_24|~spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f457])).
% 0.15/0.33 fof(f471,plain,(
% 0.15/0.33 ~vtcheck(sk0_21,vsubst(sk0_22,sk0_23,vabs(sk0_22,sk0_25,veabs)),sk0_26)|~spl0_0),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f458,f277])).
% 0.15/0.33 fof(f472,plain,(
% 0.15/0.33 ~vtcheck(sk0_21,vabs(sk0_22,sk0_25,veabs),sk0_26)|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f421,f471])).
% 0.15/0.33 fof(f473,plain,(
% 0.15/0.33 vtcheck(vbind(sk0_22,sk0_27,sk0_21),vabs(sk0_22,sk0_25,veabs),sk0_26)|~spl0_0),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f458,f276])).
% 0.15/0.33 fof(f482,plain,(
% 0.15/0.33 spl0_4 <=> ~vtcheck(sk0_21,X0,sk0_27)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f483,plain,(
% 0.15/0.33 ![X0]: (~vtcheck(sk0_21,X0,sk0_27)|~spl0_4)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f482])).
% 0.15/0.33 fof(f485,plain,(
% 0.15/0.33 spl0_5 <=> vtcheck(sk0_21,vabs(sk0_22,sk0_25,veabs),sk0_26)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f486,plain,(
% 0.15/0.33 vtcheck(sk0_21,vabs(sk0_22,sk0_25,veabs),sk0_26)|~spl0_5),
% 0.15/0.33 inference(component_clause,[status(thm)],[f485])).
% 0.15/0.33 fof(f488,plain,(
% 0.15/0.33 ![X0]: (~vtcheck(sk0_21,X0,sk0_27)|vtcheck(sk0_21,vabs(sk0_22,sk0_25,veabs),sk0_26)|~spl0_0)),
% 0.15/0.33 inference(resolution,[status(thm)],[f473,f456])).
% 0.15/0.33 fof(f489,plain,(
% 0.15/0.33 spl0_4|spl0_5|~spl0_0),
% 0.15/0.33 inference(split_clause,[status(thm)],[f488,f482,f485,f457])).
% 0.15/0.33 fof(f490,plain,(
% 0.15/0.33 $false|~spl0_4),
% 0.15/0.33 inference(backward_subsumption_resolution,[status(thm)],[f275,f483])).
% 0.15/0.33 fof(f491,plain,(
% 0.15/0.33 ~spl0_4),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f490])).
% 0.15/0.33 fof(f495,plain,(
% 0.15/0.33 spl0_7 <=> vtcheck(sk0_21,sk0_23,sk0_27)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f497,plain,(
% 0.15/0.33 ~vtcheck(sk0_21,sk0_23,sk0_27)|spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f495])).
% 0.15/0.33 fof(f500,plain,(
% 0.15/0.33 $false|spl0_7),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f497,f275])).
% 0.15/0.33 fof(f501,plain,(
% 0.15/0.33 spl0_7),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f500])).
% 0.15/0.33 fof(f522,plain,(
% 0.15/0.33 ![X0,X1,X2,X3,X4,X5,X6]: (X0=X1|~vtcheck(X2,X3,X4)|~vtcheck(vbind(X0,X4,X2),vabs(X1,X5,veabs),X6)|vtcheck(X2,vsubst(X0,X3,vabs(X1,X5,veabs)),X6))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f271,f268])).
% 0.15/0.33 fof(f523,plain,(
% 0.15/0.33 spl0_8 <=> ~vtcheck(sk0_21,X0,sk0_27)|vtcheck(sk0_21,vsubst(sk0_22,X0,vabs(sk0_24,sk0_25,veabs)),sk0_26)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f524,plain,(
% 0.15/0.33 ![X0]: (~vtcheck(sk0_21,X0,sk0_27)|vtcheck(sk0_21,vsubst(sk0_22,X0,vabs(sk0_24,sk0_25,veabs)),sk0_26)|~spl0_8)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f523])).
% 0.15/0.33 fof(f526,plain,(
% 0.15/0.33 ![X0]: (sk0_22=sk0_24|~vtcheck(sk0_21,X0,sk0_27)|vtcheck(sk0_21,vsubst(sk0_22,X0,vabs(sk0_24,sk0_25,veabs)),sk0_26))),
% 0.15/0.33 inference(resolution,[status(thm)],[f522,f276])).
% 0.15/0.33 fof(f527,plain,(
% 0.15/0.33 spl0_0|spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f526,f457,f523])).
% 0.15/0.33 fof(f532,plain,(
% 0.15/0.33 $false|~spl0_0|~spl0_5),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f486,f472])).
% 0.15/0.33 fof(f533,plain,(
% 0.15/0.33 ~spl0_0|~spl0_5),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f532])).
% 0.15/0.33 fof(f536,plain,(
% 0.15/0.33 ~vtcheck(sk0_21,sk0_23,sk0_27)|~spl0_8),
% 0.15/0.33 inference(resolution,[status(thm)],[f277,f524])).
% 0.15/0.33 fof(f537,plain,(
% 0.15/0.33 ~spl0_7|~spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f536,f495,f523])).
% 0.15/0.33 fof(f538,plain,(
% 0.15/0.33 $false),
% 0.15/0.33 inference(sat_refutation,[status(thm)],[f489,f491,f501,f527,f533,f537])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.35 % Elapsed time: 0.025181 seconds
% 0.15/0.35 % CPU time: 0.044853 seconds
% 0.15/0.35 % Total memory used: 16.882 MB
% 0.15/0.35 % Net memory used: 16.826 MB
%------------------------------------------------------------------------------