TSTP Solution File: GEO026-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO026-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:16:51 EDT 2024
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO026-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:34:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46 fof(f3,axiom,(
% 0.20/0.46 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f6,axiom,(
% 0.20/0.46 (![X,Y,X1,Y1,Z,Z1,V,V1]: (( ~ equidistant(X,Y,X1,Y1)| ~ equidistant(Y,Z,Y1,Z1)| ~ equidistant(X,V,X1,V1)| ~ equidistant(Y,V,Y1,V1)| ~ between(X,Y,Z)| ~ between(X1,Y1,Z1)| X = Y| equidistant(Z,V,Z1,V1) ) ))),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f20,axiom,(
% 0.20/0.46 (![U,V]: (equidistant(U,V,U,V) ))),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f21,axiom,(
% 0.20/0.46 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f38,hypothesis,(
% 0.20/0.46 between(u,v,w) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f39,hypothesis,(
% 0.20/0.46 between(u,v,x) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f40,hypothesis,(
% 0.20/0.46 equidistant(v,w,v,x) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f41,hypothesis,(
% 0.20/0.46 u != v ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f42,negated_conjecture,(
% 0.20/0.46 w != x ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f46,plain,(
% 0.20/0.46 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f3])).
% 0.20/0.46 fof(f47,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f46])).
% 0.20/0.46 fof(f50,plain,(
% 0.20/0.46 ![Z,Z1,V,V1]: ((![X,Y]: ((![X1,Y1]: (((((~equidistant(X,Y,X1,Y1)|~equidistant(Y,Z,Y1,Z1))|~equidistant(X,V,X1,V1))|~equidistant(Y,V,Y1,V1))|~between(X,Y,Z))|~between(X1,Y1,Z1)))|X=Y))|equidistant(Z,V,Z1,V1))),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f6])).
% 0.20/0.46 fof(f51,plain,(
% 0.20/0.46 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X1,X6,X3,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|X0=X1|equidistant(X4,X6,X5,X7))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f50])).
% 0.20/0.46 fof(f66,plain,(
% 0.20/0.46 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.46 fof(f67,plain,(
% 0.20/0.46 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.46 fof(f87,plain,(
% 0.20/0.46 between(u,v,w)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f38])).
% 0.20/0.46 fof(f88,plain,(
% 0.20/0.46 between(u,v,x)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f39])).
% 0.20/0.46 fof(f89,plain,(
% 0.20/0.46 equidistant(v,w,v,x)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.46 fof(f90,plain,(
% 0.20/0.46 ~u=v),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f41])).
% 0.20/0.46 fof(f91,plain,(
% 0.20/0.46 ~w=x),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.46 fof(f98,plain,(
% 0.20/0.46 ![X0,X1,X2]: (~equidistant(X0,X0,X1,X2)|X1=X2)),
% 0.20/0.46 inference(resolution,[status(thm)],[f67,f47])).
% 0.20/0.46 fof(f216,plain,(
% 0.20/0.46 ![X0,X1,X2,X3,X4]: (~equidistant(X0,X1,u,v)|~equidistant(X1,X2,v,x)|~equidistant(X0,X3,u,X4)|~equidistant(X1,X3,v,X4)|~between(X0,X1,X2)|X0=X1|equidistant(X2,X3,x,X4))),
% 0.20/0.46 inference(resolution,[status(thm)],[f51,f88])).
% 0.20/0.46 fof(f225,plain,(
% 0.20/0.46 spl0_0 <=> equidistant(u,v,u,v)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f227,plain,(
% 0.20/0.46 ~equidistant(u,v,u,v)|spl0_0),
% 0.20/0.46 inference(component_clause,[status(thm)],[f225])).
% 0.20/0.46 fof(f234,plain,(
% 0.20/0.46 spl0_3 <=> u=v),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f235,plain,(
% 0.20/0.46 u=v|~spl0_3),
% 0.20/0.46 inference(component_clause,[status(thm)],[f234])).
% 0.20/0.46 fof(f239,plain,(
% 0.20/0.46 spl0_4 <=> equidistant(v,w,v,x)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f241,plain,(
% 0.20/0.46 ~equidistant(v,w,v,x)|spl0_4),
% 0.20/0.46 inference(component_clause,[status(thm)],[f239])).
% 0.20/0.46 fof(f242,plain,(
% 0.20/0.46 spl0_5 <=> ~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|equidistant(w,X0,x,X1)),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f243,plain,(
% 0.20/0.46 ![X0,X1]: (~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|equidistant(w,X0,x,X1)|~spl0_5)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f242])).
% 0.20/0.46 fof(f245,plain,(
% 0.20/0.46 ![X0,X1]: (~equidistant(u,v,u,v)|~equidistant(v,w,v,x)|~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,x,X1))),
% 0.20/0.48 inference(resolution,[status(thm)],[f216,f87])).
% 0.20/0.48 fof(f246,plain,(
% 0.20/0.48 ~spl0_0|~spl0_4|spl0_5|spl0_3),
% 0.20/0.48 inference(split_clause,[status(thm)],[f245,f225,f239,f242,f234])).
% 0.20/0.48 fof(f252,plain,(
% 0.20/0.48 $false|spl0_4),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f241,f89])).
% 0.20/0.48 fof(f253,plain,(
% 0.20/0.48 spl0_4),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f252])).
% 0.20/0.48 fof(f256,plain,(
% 0.20/0.48 $false|spl0_0),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f227,f66])).
% 0.20/0.48 fof(f257,plain,(
% 0.20/0.48 spl0_0),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f256])).
% 0.20/0.48 fof(f258,plain,(
% 0.20/0.48 $false|~spl0_3),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f235,f90])).
% 0.20/0.48 fof(f259,plain,(
% 0.20/0.48 ~spl0_3),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f258])).
% 0.20/0.48 fof(f267,plain,(
% 0.20/0.48 ![X0]: (~equidistant(u,w,u,X0)|~equidistant(v,w,v,X0)|x=X0|~spl0_5)),
% 0.20/0.48 inference(resolution,[status(thm)],[f243,f98])).
% 0.20/0.48 fof(f277,plain,(
% 0.20/0.48 spl0_6 <=> equidistant(v,w,v,w)),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f279,plain,(
% 0.20/0.48 ~equidistant(v,w,v,w)|spl0_6),
% 0.20/0.48 inference(component_clause,[status(thm)],[f277])).
% 0.20/0.48 fof(f280,plain,(
% 0.20/0.48 spl0_7 <=> x=w),
% 0.20/0.48 introduced(split_symbol_definition)).
% 0.20/0.48 fof(f281,plain,(
% 0.20/0.48 x=w|~spl0_7),
% 0.20/0.48 inference(component_clause,[status(thm)],[f280])).
% 0.20/0.48 fof(f283,plain,(
% 0.20/0.48 ~equidistant(v,w,v,w)|x=w|~spl0_5),
% 0.20/0.48 inference(resolution,[status(thm)],[f267,f66])).
% 0.20/0.48 fof(f284,plain,(
% 0.20/0.48 ~spl0_6|spl0_7|~spl0_5),
% 0.20/0.48 inference(split_clause,[status(thm)],[f283,f277,f280,f242])).
% 0.20/0.48 fof(f286,plain,(
% 0.20/0.48 $false|spl0_6),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f279,f66])).
% 0.20/0.48 fof(f287,plain,(
% 0.20/0.48 spl0_6),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f286])).
% 0.20/0.48 fof(f288,plain,(
% 0.20/0.48 $false|~spl0_7),
% 0.20/0.48 inference(forward_subsumption_resolution,[status(thm)],[f281,f91])).
% 0.20/0.48 fof(f289,plain,(
% 0.20/0.48 ~spl0_7),
% 0.20/0.48 inference(contradiction_clause,[status(thm)],[f288])).
% 0.20/0.48 fof(f290,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(sat_refutation,[status(thm)],[f246,f253,f257,f259,f284,f287,f289])).
% 0.20/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.49 % Elapsed time: 0.118731 seconds
% 0.20/0.49 % CPU time: 0.827609 seconds
% 0.20/0.49 % Total memory used: 65.858 MB
% 0.20/0.49 % Net memory used: 65.194 MB
%------------------------------------------------------------------------------