TSTP Solution File: GEO026-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO026-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO026-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 01:49:56 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f1,axiom,(
% 0.20/0.49 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f2,axiom,(
% 0.20/0.49 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f3,axiom,(
% 0.20/0.49 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f6,axiom,(
% 0.20/0.49 (![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) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f19,hypothesis,(
% 0.20/0.49 between(u,v,w) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f20,hypothesis,(
% 0.20/0.49 between(u,v,x) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f21,hypothesis,(
% 0.20/0.49 equidistant(v,w,v,x) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f22,hypothesis,(
% 0.20/0.49 u != v ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f23,negated_conjecture,(
% 0.20/0.49 w != x ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f24,plain,(
% 0.20/0.49 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.49 fof(f25,plain,(
% 0.20/0.49 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f2])).
% 0.20/0.49 fof(f26,plain,(
% 0.20/0.49 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.49 fof(f27,plain,(
% 0.20/0.49 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f3])).
% 0.20/0.49 fof(f28,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.49 fof(f31,plain,(
% 0.20/0.49 ![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))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f6])).
% 0.20/0.49 fof(f32,plain,(
% 0.20/0.49 ![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))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.49 fof(f46,plain,(
% 0.20/0.49 between(u,v,w)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.49 fof(f47,plain,(
% 0.20/0.49 between(u,v,x)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.49 fof(f48,plain,(
% 0.20/0.49 equidistant(v,w,v,x)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.49 fof(f49,plain,(
% 0.20/0.49 ~u=v),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.49 fof(f50,plain,(
% 0.20/0.49 ~w=x),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.49 fof(f51,plain,(
% 0.20/0.49 ![X0,X1]: (~equidistant(v,w,X0,X1)|equidistant(X0,X1,v,x))),
% 0.20/0.49 inference(resolution,[status(thm)],[f26,f48])).
% 0.20/0.49 fof(f52,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X1,X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f26,f24])).
% 0.20/0.49 fof(f53,plain,(
% 0.20/0.49 equidistant(v,x,v,x)),
% 0.20/0.49 inference(resolution,[status(thm)],[f51,f48])).
% 0.20/0.49 fof(f103,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~equidistant(X0,v,X1,v)|~equidistant(X0,X2,X1,X3)|~equidistant(v,X2,v,X3)|~between(X0,v,w)|~between(X1,v,x)|X0=v|equidistant(w,X2,x,X3))),
% 0.20/0.49 inference(resolution,[status(thm)],[f32,f48])).
% 0.20/0.49 fof(f135,plain,(
% 0.20/0.49 spl0_13 <=> ~equidistant(X0,v,X1,v)|~equidistant(X0,x,X1,x)|~between(X0,v,w)|~between(X1,v,x)|X0=v),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f136,plain,(
% 0.20/0.49 ![X0,X1]: (~equidistant(X0,v,X1,v)|~equidistant(X0,x,X1,x)|~between(X0,v,w)|~between(X1,v,x)|X0=v|~spl0_13)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f135])).
% 0.20/0.49 fof(f138,plain,(
% 0.20/0.49 spl0_14 <=> equidistant(w,x,x,x)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f139,plain,(
% 0.20/0.49 equidistant(w,x,x,x)|~spl0_14),
% 0.20/0.49 inference(component_clause,[status(thm)],[f138])).
% 0.20/0.50 fof(f141,plain,(
% 0.20/0.50 ![X0,X1]: (~equidistant(X0,v,X1,v)|~equidistant(X0,x,X1,x)|~between(X0,v,w)|~between(X1,v,x)|X0=v|equidistant(w,x,x,x))),
% 0.20/0.50 inference(resolution,[status(thm)],[f103,f53])).
% 0.20/0.50 fof(f142,plain,(
% 0.20/0.50 spl0_13|spl0_14),
% 0.20/0.50 inference(split_clause,[status(thm)],[f141,f135,f138])).
% 0.20/0.50 fof(f167,plain,(
% 0.20/0.50 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 0.20/0.50 inference(resolution,[status(thm)],[f52,f24])).
% 0.20/0.50 fof(f337,plain,(
% 0.20/0.50 spl0_29 <=> between(u,v,w)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f339,plain,(
% 0.20/0.50 ~between(u,v,w)|spl0_29),
% 0.20/0.50 inference(component_clause,[status(thm)],[f337])).
% 0.20/0.50 fof(f340,plain,(
% 0.20/0.50 spl0_30 <=> u=v),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f341,plain,(
% 0.20/0.50 u=v|~spl0_30),
% 0.20/0.50 inference(component_clause,[status(thm)],[f340])).
% 0.20/0.50 fof(f345,plain,(
% 0.20/0.50 $false|spl0_29),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f339,f46])).
% 0.20/0.50 fof(f346,plain,(
% 0.20/0.50 spl0_29),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f345])).
% 0.20/0.50 fof(f362,plain,(
% 0.20/0.50 ![X0]: (~equidistant(X0,v,X0,v)|~between(X0,v,w)|~between(X0,v,x)|X0=v|~spl0_13)),
% 0.20/0.50 inference(resolution,[status(thm)],[f136,f167])).
% 0.20/0.50 fof(f363,plain,(
% 0.20/0.50 ![X0]: (~between(X0,v,w)|~between(X0,v,x)|X0=v|~spl0_13)),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f362,f167])).
% 0.20/0.50 fof(f391,plain,(
% 0.20/0.50 w=x|~spl0_14),
% 0.20/0.50 inference(resolution,[status(thm)],[f139,f28])).
% 0.20/0.50 fof(f392,plain,(
% 0.20/0.50 $false|~spl0_14),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f391,f50])).
% 0.20/0.50 fof(f393,plain,(
% 0.20/0.50 ~spl0_14),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f392])).
% 0.20/0.50 fof(f403,plain,(
% 0.20/0.50 ~between(u,v,w)|u=v|~spl0_13),
% 0.20/0.50 inference(resolution,[status(thm)],[f363,f47])).
% 0.20/0.50 fof(f404,plain,(
% 0.20/0.50 ~spl0_29|spl0_30|~spl0_13),
% 0.20/0.50 inference(split_clause,[status(thm)],[f403,f337,f340,f135])).
% 0.20/0.50 fof(f405,plain,(
% 0.20/0.50 $false|~spl0_30),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f341,f49])).
% 0.20/0.50 fof(f406,plain,(
% 0.20/0.50 ~spl0_30),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f405])).
% 0.20/0.50 fof(f407,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(sat_refutation,[status(thm)],[f142,f346,f393,f404,f406])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.52 % Elapsed time: 0.154949 seconds
% 0.20/0.52 % CPU time: 1.134666 seconds
% 0.20/0.52 % Total memory used: 67.553 MB
% 0.20/0.52 % Net memory used: 66.946 MB
%------------------------------------------------------------------------------