%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO042-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:25:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO042-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 08:41:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,axiom,(
% 0.12/0.41 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f9,axiom,(
% 0.12/0.41 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f19,hypothesis,(
% 0.12/0.41 between(u,v,x) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f20,hypothesis,(
% 0.12/0.41 between(v,w,x) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f21,negated_conjecture,(
% 0.12/0.41 ~ between(u,v,w) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f25,plain,(
% 0.12/0.41 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.41 fof(f26,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.41 fof(f27,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f28,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f33,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.41 fof(f44,plain,(
% 0.12/0.41 between(u,v,x)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.41 fof(f45,plain,(
% 0.12/0.41 between(v,w,x)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.41 fof(f46,plain,(
% 0.12/0.41 ~between(u,v,w)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.41 fof(f48,plain,(
% 0.12/0.41 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.12/0.41 inference(resolution,[status(thm)],[f28,f26])).
% 0.12/0.41 fof(f50,plain,(
% 0.12/0.41 ![X0,X1]: (between(X0,X1,X1))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f48,f27])).
% 0.12/0.41 fof(f75,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|X1=inner_pasch(X0,X1,X2,X3,X1))),
% 0.12/0.41 inference(resolution,[status(thm)],[f32,f31])).
% 0.12/0.41 fof(f76,plain,(
% 0.12/0.41 ![X0]: (~between(X0,v,x)|v=inner_pasch(X0,v,x,w,v))),
% 0.12/0.41 inference(resolution,[status(thm)],[f75,f45])).
% 0.12/0.41 fof(f80,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=inner_pasch(X0,X1,X2,X2,X1))),
% 0.12/0.41 inference(resolution,[status(thm)],[f75,f50])).
% 0.12/0.41 fof(f85,plain,(
% 0.12/0.41 ![X0,X1]: (X0=inner_pasch(X1,X0,X0,X0,X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f80,f50])).
% 0.12/0.41 fof(f88,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X0,X2)|X0=inner_pasch(X0,X1,X2,X0,X3))),
% 0.12/0.41 inference(resolution,[status(thm)],[f33,f31])).
% 0.12/0.41 fof(f106,plain,(
% 0.12/0.41 ![X0,X1]: (~between(X0,X1,X1)|~between(X1,X1,X1)|between(X1,X1,X0))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f85,f33])).
% 0.12/0.41 fof(f108,plain,(
% 0.12/0.41 ![X0,X1]: (~between(X0,X0,X0)|between(X0,X0,X1))),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f106,f50])).
% 0.12/0.41 fof(f109,plain,(
% 0.12/0.41 ![X0,X1]: (between(X0,X0,X1))),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f108,f50])).
% 0.12/0.41 fof(f131,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~between(X0,X1,X2)|X0=inner_pasch(X0,X1,X2,X0,X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f88,f109])).
% 0.12/0.41 fof(f147,plain,(
% 0.12/0.41 u=inner_pasch(u,v,x,u,u)),
% 0.12/0.41 inference(resolution,[status(thm)],[f131,f44])).
% 0.12/0.41 fof(f183,plain,(
% 0.12/0.41 v=inner_pasch(u,v,x,w,v)),
% 0.12/0.41 inference(resolution,[status(thm)],[f76,f44])).
% 0.12/0.41 fof(f188,definition,(
% 0.12/0.41 sQ0_spl <=> (between(v,w,x))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f190,plain,(
% 0.12/0.41 ~between(v,w,x)|sQ0_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f188])).
% 0.12/0.41 fof(f204,plain,(
% 0.12/0.41 $false|sQ0_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f190,f45])).
% 0.12/0.41 fof(f205,plain,(
% 0.12/0.41 sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f204])).
% 0.12/0.41 fof(f213,definition,(
% 0.12/0.41 sQ4_spl <=> (between(u,v,x))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f215,plain,(
% 0.12/0.41 ~between(u,v,x)|sQ4_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f213])).
% 0.12/0.41 fof(f229,plain,(
% 0.12/0.41 $false|sQ4_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f215,f44])).
% 0.12/0.41 fof(f230,plain,(
% 0.12/0.41 sQ4_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f229])).
% 0.12/0.41 fof(f268,plain,(
% 0.12/0.41 ~between(u,v,x)|~between(u,u,x)|between(v,u,u)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f147,f32])).
% 0.12/0.41 fof(f269,definition,(
% 0.12/0.41 sQ13_spl <=> (between(u,u,x))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f271,plain,(
% 0.12/0.41 ~between(u,u,x)|sQ13_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f269])).
% 0.12/0.41 fof(f276,definition,(
% 0.12/0.41 sQ15_spl <=> (between(v,u,u))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f279,plain,(
% 0.12/0.41 ~sQ4_spl|~sQ13_spl|sQ15_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f268,f213,f269,f276])).
% 0.12/0.41 fof(f280,plain,(
% 0.12/0.41 $false|sQ13_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f271,f109])).
% 0.12/0.41 fof(f281,plain,(
% 0.12/0.41 sQ13_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f280])).
% 0.12/0.41 fof(f282,plain,(
% 0.12/0.41 ~between(u,v,x)|~between(v,w,x)|between(w,v,u)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f183,f33])).
% 0.12/0.41 fof(f284,definition,(
% 0.12/0.41 sQ16_spl <=> (between(w,v,u))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f285,plain,(
% 0.12/0.41 between(w,v,u)|~sQ16_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f284])).
% 0.12/0.41 fof(f287,plain,(
% 0.12/0.41 ~sQ4_spl|~sQ0_spl|sQ16_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f282,f213,f188,f284])).
% 0.12/0.41 fof(f292,plain,(
% 0.12/0.41 v=inner_pasch(w,v,u,u,v)|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f285,f80])).
% 0.12/0.41 fof(f411,plain,(
% 0.12/0.41 ~between(w,v,u)|~between(v,u,u)|between(u,v,w)|~sQ16_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f292,f33])).
% 0.12/0.41 fof(f413,definition,(
% 0.12/0.41 sQ23_spl <=> (between(u,v,w))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f414,plain,(
% 0.12/0.41 between(u,v,w)|~sQ23_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f413])).
% 0.12/0.41 fof(f416,plain,(
% 0.12/0.41 ~sQ16_spl|~sQ15_spl|sQ23_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f411,f284,f276,f413])).
% 0.12/0.41 fof(f418,plain,(
% 0.12/0.41 $false|~sQ23_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f414,f46])).
% 0.12/0.41 fof(f419,plain,(
% 0.12/0.41 ~sQ23_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f418])).
% 0.12/0.41 fof(f420,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f205,f230,f279,f281,f287,f416,f419])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.080790 seconds
% 0.12/0.44 % CPU time: 0.334328 seconds
% 0.12/0.44 % Total memory used: 83.627 MB
% 0.12/0.44 % Net memory used: 82.947 MB
%------------------------------------------------------------------------------