%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:10:52 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:18:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f56,axiom,(
% 0.10/0.40 (! [Vx,VS,VC,Vy,VS1,VT] :( ( Vx != Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f57,axiom,(
% 0.10/0.40 (! [Vx,VS,VC,Vy,VS1,VT] :( ( Vx = Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f58,conjecture,(
% 0.10/0.40 (! [Vx,VS,VC,Vy,VS1,VT] :( ( vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f59,negated_conjecture,(
% 0.10/0.40 ~((! [Vx,VS,VC,Vy,VS1,VT] :( ( vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f58])).
% 0.10/0.40 fof(f250,plain,(
% 0.10/0.40 ![Vx,VS,VC,Vy,VS1,VT]: (((Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.10/0.40 fof(f251,plain,(
% 0.10/0.40 ![Vx,VC,Vy,VS1,VT]: (((Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|(![VS]: vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f250])).
% 0.10/0.40 fof(f252,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5]: (X0=X1|~vlookup(X0,X2)=vnoType|~vtcheck(X2,vabs(X1,X3,veabs),X4)|vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f251])).
% 0.10/0.40 fof(f253,plain,(
% 0.10/0.40 ![Vx,VS,VC,Vy,VS1,VT]: (((~Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.10/0.40 fof(f254,plain,(
% 0.10/0.40 ![Vx,VC,Vy,VS1,VT]: (((~Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|(![VS]: vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f253])).
% 0.10/0.40 fof(f255,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5]: (~X0=X1|~vlookup(X0,X2)=vnoType|~vtcheck(X2,vabs(X1,X3,veabs),X4)|vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f254])).
% 0.10/0.40 fof(f256,plain,(
% 0.10/0.40 (?[Vx,VS,VC,Vy,VS1,VT]: ((vlookup(Vx,VC)=vnoType&vtcheck(VC,vabs(Vy,VS1,veabs),VT))&~vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f257,plain,(
% 0.10/0.40 ?[Vx,VC,Vy,VS1,VT]: ((vlookup(Vx,VC)=vnoType&vtcheck(VC,vabs(Vy,VS1,veabs),VT))&(?[VS]: ~vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f256])).
% 0.10/0.40 fof(f258,plain,(
% 0.10/0.40 ((vlookup(sK21_skl,sK22_skl)=vnoType&vtcheck(sK22_skl,vabs(sK23_skl,sK24_skl,veabs),sK25_skl))&~vtcheck(vbind(sK21_skl,sK26_skl,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(Vx,sK21_skl),skolemize(VC,sK22_skl),skolemize(Vy,sK23_skl),skolemize(VS1,sK24_skl),skolemize(VT,sK25_skl),skolemize(VS,sK26_skl)],[f257])).
% 0.10/0.40 fof(f259,plain,(
% 0.10/0.40 vlookup(sK21_skl,sK22_skl)=vnoType),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f258])).
% 0.10/0.40 fof(f260,plain,(
% 0.10/0.40 vtcheck(sK22_skl,vabs(sK23_skl,sK24_skl,veabs),sK25_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f258])).
% 0.10/0.40 fof(f261,plain,(
% 0.10/0.40 ~vtcheck(vbind(sK21_skl,sK26_skl,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f258])).
% 0.10/0.40 fof(f457,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4]: (~vlookup(X0,X1)=vnoType|~vtcheck(X1,vabs(X0,X2,veabs),X3)|vtcheck(vbind(X0,X4,X1),vabs(X0,X2,veabs),X3))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f255])).
% 0.10/0.40 fof(f480,plain,(
% 0.10/0.40 ![X0]: (~vlookup(sK23_skl,sK22_skl)=vnoType|vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl))),
% 0.10/0.40 inference(resolution,[status(thm)],[f457,f260])).
% 0.10/0.40 fof(f481,definition,(
% 0.10/0.40 sQ0_spl <=> (vlookup(sK23_skl,sK22_skl)=vnoType)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f483,plain,(
% 0.10/0.40 ~vlookup(sK23_skl,sK22_skl)=vnoType|sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f481])).
% 0.10/0.40 fof(f484,definition,(
% 0.10/0.40 ![X0]: (sQ1_spl <=> (vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f485,plain,(
% 0.10/0.40 ![X0]: (vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)|~sQ1_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f484])).
% 0.10/0.40 fof(f487,plain,(
% 0.10/0.40 ~sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f480,f481,f484])).
% 0.10/0.40 fof(f488,plain,(
% 0.10/0.40 ![X0,X1]: (X0=sK23_skl|~vlookup(X0,sK22_skl)=vnoType|vtcheck(vbind(X0,X1,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl))),
% 0.10/0.40 inference(resolution,[status(thm)],[f252,f260])).
% 0.10/0.40 fof(f489,plain,(
% 0.10/0.40 ![X0]: (sK21_skl=sK23_skl|vtcheck(vbind(sK21_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl))),
% 0.10/0.40 inference(resolution,[status(thm)],[f488,f259])).
% 0.10/0.40 fof(f491,definition,(
% 0.10/0.40 sQ2_spl <=> (sK21_skl=sK23_skl)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f492,plain,(
% 0.10/0.40 sK21_skl=sK23_skl|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f491])).
% 0.10/0.40 fof(f494,definition,(
% 0.10/0.40 ![X0]: (sQ3_spl <=> (vtcheck(vbind(sK21_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f495,plain,(
% 0.10/0.40 ![X0]: (vtcheck(vbind(sK21_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)|~sQ3_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f494])).
% 0.10/0.40 fof(f497,plain,(
% 0.10/0.40 sQ2_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f489,f491,f494])).
% 0.10/0.40 fof(f502,plain,(
% 0.10/0.40 ~vtcheck(vbind(sK23_skl,sK26_skl,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)|~sQ2_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f492,f261])).
% 0.10/0.40 fof(f503,plain,(
% 0.10/0.40 vlookup(sK23_skl,sK22_skl)=vnoType|~sQ2_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f492,f259])).
% 0.10/0.40 fof(f504,plain,(
% 0.10/0.40 $false|sQ0_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f503,f483])).
% 0.10/0.40 fof(f505,plain,(
% 0.10/0.40 sQ0_spl|~sQ2_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f504])).
% 0.10/0.40 fof(f524,plain,(
% 0.10/0.40 $false|~sQ3_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f261,f495])).
% 0.10/0.40 fof(f525,plain,(
% 0.10/0.40 ~sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f524])).
% 0.10/0.40 fof(f526,plain,(
% 0.10/0.40 $false|~sQ1_spl|~sQ2_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f502,f485])).
% 0.10/0.40 fof(f527,plain,(
% 0.10/0.40 ~sQ1_spl|~sQ2_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f526])).
% 0.10/0.40 fof(f528,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f487,f497,f505,f525,f527])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.059016 seconds
% 0.10/0.42 % CPU time: 0.182074 seconds
% 0.10/0.42 % Total memory used: 111.325 MB
% 0.10/0.42 % Net memory used: 111.060 MB
%------------------------------------------------------------------------------