%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM128+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 12:10:51 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM128+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:20:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f10,axiom,(
% 0.13/0.43 (! [VVar0,VExp0,Vx,Vv] :( ( VVar0 = Vv& VExp0 = vvar(Vx) )=> ( ( Vx = Vv=> visFreeVar(VVar0,VExp0) )& ( visFreeVar(VVar0,VExp0)=> Vx = Vv ) ) ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f12,axiom,(
% 0.13/0.43 (! [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) ) ) ) ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f28,axiom,(
% 0.13/0.43 (! [Vv,Ve] :( vgensym(Ve) = Vv=> ~ visFreeVar(Vv,Ve) ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f65,conjecture,(
% 0.13/0.43 (! [Ve,Ve1,Vx,Vfresh] :( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))=> Vx != Vfresh ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f66,negated_conjecture,(
% 0.13/0.43 ~((! [Ve,Ve1,Vx,Vfresh] :( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))=> Vx != Vfresh ) ))),
% 0.13/0.43 inference(negated_conjecture,[status(cth)],[f65])).
% 0.13/0.43 fof(f94,plain,(
% 0.13/0.43 ![VVar0,VExp0,Vx,Vv]: ((~VVar0=Vv|~VExp0=vvar(Vx))|((~Vx=Vv|visFreeVar(VVar0,VExp0))&(~visFreeVar(VVar0,VExp0)|Vx=Vv)))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.43 fof(f95,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (~X0=X1|~X2=vvar(X3)|~X3=X1|visFreeVar(X0,X2))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f94])).
% 0.13/0.43 fof(f102,plain,(
% 0.13/0.43 ![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)))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.13/0.43 fof(f104,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X4)|visFreeVar(X0,X2))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/0.43 fof(f155,plain,(
% 0.13/0.43 ![Vv,Ve]: (~vgensym(Ve)=Vv|~visFreeVar(Vv,Ve))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.13/0.43 fof(f156,plain,(
% 0.13/0.43 ![X0,X1]: (~vgensym(X0)=X1|~visFreeVar(X1,X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f155])).
% 0.13/0.43 fof(f281,plain,(
% 0.13/0.43 (?[Ve,Ve1,Vx,Vfresh]: (Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))&Vx=Vfresh))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 0.13/0.43 fof(f282,plain,(
% 0.13/0.43 ?[Vx,Vfresh]: ((?[Ve,Ve1]: Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))))&Vx=Vfresh)),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f281])).
% 0.13/0.43 fof(f283,plain,(
% 0.13/0.43 (sK22_skl=vgensym(vapp(vapp(sK23_skl,sK24_skl),vvar(sK21_skl)))&sK21_skl=sK22_skl)),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl]),skolemize(Vx,sK21_skl),skolemize(Vfresh,sK22_skl),skolemize(Ve,sK23_skl),skolemize(Ve1,sK24_skl)],[f282])).
% 0.13/0.43 fof(f284,plain,(
% 0.13/0.43 sK22_skl=vgensym(vapp(vapp(sK23_skl,sK24_skl),vvar(sK21_skl)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f283])).
% 0.13/0.43 fof(f285,plain,(
% 0.13/0.43 sK21_skl=sK22_skl),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f283])).
% 0.13/0.43 fof(f434,plain,(
% 0.13/0.43 ![X0]: (visFreeVar(X0,vvar(X0)))),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[f95])).
% 0.13/0.43 fof(f440,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X2,X1)))),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[f104])).
% 0.13/0.43 fof(f453,plain,(
% 0.13/0.43 ![X0]: (~visFreeVar(vgensym(X0),X0))),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[f156])).
% 0.13/0.43 fof(f497,plain,(
% 0.13/0.43 sK22_skl=vgensym(vapp(vapp(sK23_skl,sK24_skl),vvar(sK22_skl)))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f285,f284])).
% 0.13/0.43 fof(f498,plain,(
% 0.13/0.43 ~visFreeVar(sK22_skl,vapp(vapp(sK23_skl,sK24_skl),vvar(sK22_skl)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f497,f453])).
% 0.13/0.43 fof(f539,plain,(
% 0.13/0.43 ![X0,X1]: (visFreeVar(X0,vapp(X1,vvar(X0))))),
% 0.13/0.43 inference(resolution,[status(thm)],[f440,f434])).
% 0.13/0.43 fof(f550,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f498,f539])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.074064 seconds
% 0.13/0.45 % CPU time: 0.205599 seconds
% 0.13/0.45 % Total memory used: 111.993 MB
% 0.13/0.45 % Net memory used: 111.709 MB
%------------------------------------------------------------------------------