%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM129+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 : n005.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 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM129+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n005.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 14:17:17 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f12,axiom,(
% 0.11/0.38 (! [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) ) ) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f28,axiom,(
% 0.11/0.38 (! [Vv,Ve] :( vgensym(Ve) = Vv=> ~ visFreeVar(Vv,Ve) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f66,conjecture,(
% 0.11/0.38 (! [Ve,Vx,Vfresh,Ve1] :( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))=> ~ visFreeVar(Vfresh,Ve1) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f67,negated_conjecture,(
% 0.11/0.38 ~((! [Ve,Vx,Vfresh,Ve1] :( Vfresh = vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))=> ~ visFreeVar(Vfresh,Ve1) ) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f66])).
% 0.11/0.38 fof(f103,plain,(
% 0.11/0.38 ![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)))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.11/0.38 fof(f104,plain,(
% 0.11/0.38 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X3)|visFreeVar(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.38 fof(f105,plain,(
% 0.11/0.38 ![X0,X1,X2,X3,X4]: (~X0=X1|~X2=vapp(X3,X4)|~visFreeVar(X1,X4)|visFreeVar(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.38 fof(f156,plain,(
% 0.11/0.38 ![Vv,Ve]: (~vgensym(Ve)=Vv|~visFreeVar(Vv,Ve))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.11/0.38 fof(f157,plain,(
% 0.11/0.38 ![X0,X1]: (~vgensym(X0)=X1|~visFreeVar(X1,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f156])).
% 0.11/0.38 fof(f285,plain,(
% 0.11/0.38 (?[Ve,Vx,Vfresh,Ve1]: (Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx)))&visFreeVar(Vfresh,Ve1)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.11/0.38 fof(f286,plain,(
% 0.11/0.38 ?[Vfresh,Ve1]: ((?[Ve,Vx]: Vfresh=vgensym(vapp(vapp(Ve,Ve1),vvar(Vx))))&visFreeVar(Vfresh,Ve1))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f285])).
% 0.11/0.38 fof(f287,plain,(
% 0.11/0.38 (sK21_skl=vgensym(vapp(vapp(sK23_skl,sK22_skl),vvar(sK24_skl)))&visFreeVar(sK21_skl,sK22_skl))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl]),skolemize(Vfresh,sK21_skl),skolemize(Ve1,sK22_skl),skolemize(Ve,sK23_skl),skolemize(Vx,sK24_skl)],[f286])).
% 0.11/0.38 fof(f288,plain,(
% 0.11/0.38 sK21_skl=vgensym(vapp(vapp(sK23_skl,sK22_skl),vvar(sK24_skl)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f287])).
% 0.11/0.38 fof(f289,plain,(
% 0.11/0.38 visFreeVar(sK21_skl,sK22_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f287])).
% 0.11/0.38 fof(f443,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X1,X2)))),
% 0.11/0.38 inference(destructive_equality_resolution,[status(thm)],[f104])).
% 0.11/0.38 fof(f444,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~visFreeVar(X0,X1)|visFreeVar(X0,vapp(X2,X1)))),
% 0.11/0.38 inference(destructive_equality_resolution,[status(thm)],[f105])).
% 0.11/0.38 fof(f457,plain,(
% 0.11/0.38 ![X0]: (~visFreeVar(vgensym(X0),X0))),
% 0.11/0.38 inference(destructive_equality_resolution,[status(thm)],[f157])).
% 0.11/0.38 fof(f503,plain,(
% 0.11/0.38 ~visFreeVar(sK21_skl,vapp(vapp(sK23_skl,sK22_skl),vvar(sK24_skl)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f288,f457])).
% 0.11/0.38 fof(f512,plain,(
% 0.11/0.38 ~visFreeVar(sK21_skl,vapp(sK23_skl,sK22_skl))),
% 0.11/0.38 inference(resolution,[status(thm)],[f443,f503])).
% 0.11/0.38 fof(f528,plain,(
% 0.11/0.38 ~visFreeVar(sK21_skl,sK22_skl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f512,f444])).
% 0.11/0.38 fof(f530,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f528,f289])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.055914 seconds
% 0.11/0.41 % CPU time: 0.162857 seconds
% 0.11/0.41 % Total memory used: 62.991 MB
% 0.11/0.41 % Net memory used: 62.844 MB
%------------------------------------------------------------------------------