TSTP Solution File: GEO040-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:07:32 EDT 2023
% Result : Unsatisfiable 3.89s 0.86s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n014.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 11:59:48 EDT 2023
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 3.89/0.86 % Refutation found
% 3.89/0.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.89/0.86 % SZS output start CNFRefutation for theBenchmark
% 3.89/0.86 fof(f4,axiom,(
% 3.89/0.86 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f7,axiom,(
% 3.89/0.86 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f8,axiom,(
% 3.89/0.86 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f9,axiom,(
% 3.89/0.86 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f39,axiom,(
% 3.89/0.86 (![U,V,W]: (( ~ between(U,V,W)| U = V| W = extension(U,V,V,W) ) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f45,axiom,(
% 3.89/0.86 (![U,W,X,V]: (( ~ between(U,W,X)| U != X| between(V,W,X) ) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f46,axiom,(
% 3.89/0.86 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f48,hypothesis,(
% 3.89/0.86 between(u,v,w) ),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f49,hypothesis,(
% 3.89/0.86 between(v,u,w) ),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f50,negated_conjecture,(
% 3.89/0.86 u != v ),
% 3.89/0.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.89/0.86 fof(f56,plain,(
% 3.89/0.86 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f4])).
% 3.89/0.86 fof(f60,plain,(
% 3.89/0.86 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f7])).
% 3.89/0.86 fof(f61,plain,(
% 3.89/0.86 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f8])).
% 3.89/0.86 fof(f62,plain,(
% 3.89/0.86 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f9])).
% 3.89/0.86 fof(f97,plain,(
% 3.89/0.86 ![X0,X1,X2]: (~between(X0,X1,X2)|X0=X1|X2=extension(X0,X1,X1,X2))),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f39])).
% 3.89/0.86 fof(f104,plain,(
% 3.89/0.86 ![W,X]: ((![U]: (~between(U,W,X)|~U=X))|(![V]: between(V,W,X)))),
% 3.89/0.86 inference(miniscoping,[status(esa)],[f45])).
% 3.89/0.86 fof(f105,plain,(
% 3.89/0.86 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~X0=X2|between(X3,X1,X2))),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f104])).
% 3.89/0.86 fof(f106,plain,(
% 3.89/0.86 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f46])).
% 3.89/0.86 fof(f108,plain,(
% 3.89/0.86 between(u,v,w)),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f48])).
% 3.89/0.86 fof(f109,plain,(
% 3.89/0.86 between(v,u,w)),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f49])).
% 3.89/0.86 fof(f110,plain,(
% 3.89/0.86 ~u=v),
% 3.89/0.86 inference(cnf_transformation,[status(esa)],[f50])).
% 3.89/0.86 fof(f113,plain,(
% 3.89/0.86 ![X0,X1,X2]: (~between(X0,X1,X0)|between(X2,X1,X0))),
% 3.89/0.86 inference(destructive_equality_resolution,[status(esa)],[f105])).
% 3.89/0.86 fof(f123,plain,(
% 3.89/0.86 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X1,X3,X2)|between(X4,inner_pasch(X0,X1,X2,X3,X1),X1))),
% 3.89/0.86 inference(resolution,[status(thm)],[f61,f113])).
% 3.89/0.86 fof(f127,plain,(
% 3.89/0.86 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X0,X2)|X0=inner_pasch(X0,X1,X2,X0,X3))),
% 3.89/0.86 inference(resolution,[status(thm)],[f62,f60])).
% 3.89/0.86 fof(f131,plain,(
% 3.89/0.86 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X1,X3,X2)|between(X1,inner_pasch(X0,X1,X2,X3,X1),X4))),
% 3.89/0.86 inference(resolution,[status(thm)],[f123,f106])).
% 3.89/0.86 fof(f270,plain,(
% 3.89/0.86 spl0_4 <=> v=u),
% 3.89/0.86 introduced(split_symbol_definition)).
% 3.89/0.86 fof(f271,plain,(
% 3.89/0.86 v=u|~spl0_4),
% 3.89/0.86 inference(component_clause,[status(thm)],[f270])).
% 3.89/0.86 fof(f278,plain,(
% 3.89/0.86 spl0_6 <=> w=extension(u,v,v,w)),
% 3.89/0.86 introduced(split_symbol_definition)).
% 3.89/0.86 fof(f279,plain,(
% 3.89/0.86 w=extension(u,v,v,w)|~spl0_6),
% 3.89/0.86 inference(component_clause,[status(thm)],[f278])).
% 3.89/0.86 fof(f281,plain,(
% 3.89/0.86 u=v|w=extension(u,v,v,w)),
% 3.89/0.86 inference(resolution,[status(thm)],[f97,f108])).
% 3.89/0.86 fof(f282,plain,(
% 3.89/0.86 spl0_4|spl0_6),
% 3.89/0.86 inference(split_clause,[status(thm)],[f281,f270,f278])).
% 3.89/0.86 fof(f302,plain,(
% 3.89/0.86 $false|~spl0_4),
% 3.89/0.87 inference(forward_subsumption_resolution,[status(thm)],[f271,f110])).
% 3.89/0.87 fof(f303,plain,(
% 3.89/0.87 ~spl0_4),
% 3.89/0.87 inference(contradiction_clause,[status(thm)],[f302])).
% 3.89/0.87 fof(f734,plain,(
% 3.89/0.87 between(u,v,w)|~spl0_6),
% 3.89/0.87 inference(paramodulation,[status(thm)],[f279,f56])).
% 3.89/0.87 fof(f748,plain,(
% 3.89/0.87 ![X0]: (~between(v,X0,w)|v=inner_pasch(v,X0,w,v,u)|~spl0_6)),
% 3.89/0.87 inference(resolution,[status(thm)],[f734,f127])).
% 3.89/0.87 fof(f1244,plain,(
% 3.89/0.87 spl0_29 <=> between(u,v,w)),
% 3.89/0.87 introduced(split_symbol_definition)).
% 3.89/0.87 fof(f1246,plain,(
% 3.89/0.87 ~between(u,v,w)|spl0_29),
% 3.89/0.87 inference(component_clause,[status(thm)],[f1244])).
% 3.89/0.87 fof(f1281,plain,(
% 3.89/0.87 $false|spl0_29),
% 3.89/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1246,f108])).
% 3.89/0.87 fof(f1282,plain,(
% 3.89/0.87 spl0_29),
% 3.89/0.87 inference(contradiction_clause,[status(thm)],[f1281])).
% 3.89/0.87 fof(f1335,plain,(
% 3.89/0.87 spl0_44 <=> between(v,u,w)),
% 3.89/0.87 introduced(split_symbol_definition)).
% 3.89/0.87 fof(f1337,plain,(
% 3.89/0.87 ~between(v,u,w)|spl0_44),
% 3.89/0.87 inference(component_clause,[status(thm)],[f1335])).
% 3.89/0.87 fof(f1353,plain,(
% 3.89/0.87 $false|spl0_44),
% 3.89/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1337,f109])).
% 3.89/0.87 fof(f1354,plain,(
% 3.89/0.87 spl0_44),
% 3.89/0.87 inference(contradiction_clause,[status(thm)],[f1353])).
% 3.89/0.87 fof(f1923,plain,(
% 3.89/0.87 v=inner_pasch(v,u,w,v,u)|~spl0_6),
% 3.89/0.87 inference(resolution,[status(thm)],[f748,f109])).
% 3.89/0.87 fof(f1945,plain,(
% 3.89/0.87 spl0_59 <=> between(u,v,X0)),
% 3.89/0.87 introduced(split_symbol_definition)).
% 3.89/0.87 fof(f1946,plain,(
% 3.89/0.87 ![X0]: (between(u,v,X0)|~spl0_59)),
% 3.89/0.87 inference(component_clause,[status(thm)],[f1945])).
% 3.89/0.87 fof(f1948,plain,(
% 3.89/0.87 ![X0]: (~between(v,u,w)|~between(u,v,w)|between(u,v,X0)|~spl0_6)),
% 3.89/0.87 inference(paramodulation,[status(thm)],[f1923,f131])).
% 3.89/0.87 fof(f1949,plain,(
% 3.89/0.87 ~spl0_44|~spl0_29|spl0_59|~spl0_6),
% 3.89/0.87 inference(split_clause,[status(thm)],[f1948,f1335,f1244,f1945,f278])).
% 3.89/0.87 fof(f1983,plain,(
% 3.89/0.87 u=v|~spl0_59),
% 3.89/0.87 inference(resolution,[status(thm)],[f1946,f60])).
% 3.89/0.87 fof(f1984,plain,(
% 3.89/0.87 spl0_4|~spl0_59),
% 3.89/0.87 inference(split_clause,[status(thm)],[f1983,f270,f1945])).
% 3.89/0.87 fof(f1985,plain,(
% 3.89/0.87 $false),
% 3.89/0.87 inference(sat_refutation,[status(thm)],[f282,f303,f1282,f1354,f1949,f1984])).
% 3.89/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 3.89/0.88 % Elapsed time: 0.539860 seconds
% 3.89/0.88 % CPU time: 4.056190 seconds
% 3.89/0.88 % Memory used: 75.407 MB
%------------------------------------------------------------------------------