%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO040-2 : 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 : n014.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 0.14s 10.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.59 % Computer : n014.cluster.edu
% 0.10/10.59 % Model : x86_64 x86_64
% 0.10/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.59 % Memory : 8046.5625MB
% 0.10/10.59 % OS : Linux 6.8.0-71-generic
% 0.10/10.59 % CPULimit : 300
% 0.10/10.59 % WCLimit : 300
% 0.10/10.59 % DateTime : Sun Sep 20 08:34:01 UTC 2026
% 0.10/10.60 % CPUTime :
% 0.14/10.61 % Drodi V4.1.1
% 0.14/10.68 % Refutation found
% 0.14/10.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.68 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.68 fof(f7,axiom,(
% 0.14/10.68 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.14/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f8,axiom,(
% 0.14/10.68 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 0.14/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f9,axiom,(
% 0.14/10.68 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.14/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f19,hypothesis,(
% 0.14/10.68 between(u,v,w) ),
% 0.14/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f20,hypothesis,(
% 0.14/10.68 between(v,u,w) ),
% 0.14/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f21,negated_conjecture,(
% 0.14/10.68 u != v ),
% 0.14/10.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.68 fof(f31,plain,(
% 0.14/10.68 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/10.68 fof(f32,plain,(
% 0.14/10.68 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/10.68 fof(f33,plain,(
% 0.14/10.68 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/10.68 fof(f44,plain,(
% 0.14/10.68 between(u,v,w)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/10.68 fof(f45,plain,(
% 0.14/10.68 between(v,u,w)),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/10.68 fof(f46,plain,(
% 0.14/10.68 ~u=v),
% 0.14/10.68 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/10.68 fof(f51,plain,(
% 0.14/10.68 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X0,X2)|X0=inner_pasch(X0,X1,X2,X0,X3))),
% 0.14/10.68 inference(resolution,[status(thm)],[f33,f31])).
% 0.14/10.68 fof(f80,plain,(
% 0.14/10.68 ![X0]: (~between(v,X0,w)|v=inner_pasch(v,X0,w,v,u))),
% 0.14/10.68 inference(resolution,[status(thm)],[f44,f51])).
% 0.14/10.68 fof(f280,definition,(
% 0.14/10.68 sQ0_spl <=> (between(v,u,w))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f282,plain,(
% 0.14/10.68 ~between(v,u,w)|sQ0_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f280])).
% 0.14/10.68 fof(f296,plain,(
% 0.14/10.68 $false|sQ0_spl),
% 0.14/10.68 inference(forward_subsumption_resolution,[status(thm)],[f282,f45])).
% 0.14/10.68 fof(f297,plain,(
% 0.14/10.68 sQ0_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f296])).
% 0.14/10.68 fof(f305,definition,(
% 0.14/10.68 sQ4_spl <=> (between(u,v,w))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f307,plain,(
% 0.14/10.68 ~between(u,v,w)|sQ4_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f305])).
% 0.14/10.68 fof(f321,plain,(
% 0.14/10.68 $false|sQ4_spl),
% 0.14/10.68 inference(forward_subsumption_resolution,[status(thm)],[f307,f44])).
% 0.14/10.68 fof(f322,plain,(
% 0.14/10.68 sQ4_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f321])).
% 0.14/10.68 fof(f494,plain,(
% 0.14/10.68 v=inner_pasch(v,u,w,v,u)),
% 0.14/10.68 inference(resolution,[status(thm)],[f80,f45])).
% 0.14/10.68 fof(f500,plain,(
% 0.14/10.68 ~between(v,u,w)|~between(u,v,w)|between(u,v,u)),
% 0.14/10.68 inference(paramodulation,[status(thm)],[f494,f32])).
% 0.14/10.68 fof(f502,definition,(
% 0.14/10.68 sQ17_spl <=> (between(u,v,u))),
% 0.14/10.68 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/10.68 fof(f503,plain,(
% 0.14/10.68 between(u,v,u)|~sQ17_spl),
% 0.14/10.68 inference(component_clause,[status(thm)],[f502])).
% 0.14/10.68 fof(f505,plain,(
% 0.14/10.68 ~sQ0_spl|~sQ4_spl|sQ17_spl),
% 0.14/10.68 inference(split_clause,[status(thm)],[f500,f280,f305,f502])).
% 0.14/10.68 fof(f513,plain,(
% 0.14/10.68 u=v|~sQ17_spl),
% 0.14/10.68 inference(resolution,[status(thm)],[f503,f31])).
% 0.14/10.68 fof(f515,plain,(
% 0.14/10.68 $false|~sQ17_spl),
% 0.14/10.68 inference(forward_subsumption_resolution,[status(thm)],[f513,f46])).
% 0.14/10.68 fof(f516,plain,(
% 0.14/10.68 ~sQ17_spl),
% 0.14/10.68 inference(contradiction_clause,[status(thm)],[f515])).
% 0.14/10.68 fof(f517,plain,(
% 0.14/10.68 $false),
% 0.14/10.68 inference(sat_refutation,[status(thm)],[f297,f322,f505,f516])).
% 0.14/10.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.70 % Elapsed time: 0.098496 seconds
% 0.14/10.70 % CPU time: 0.508347 seconds
% 0.14/10.70 % Total memory used: 85.765 MB
% 0.14/10.70 % Net memory used: 84.855 MB
%------------------------------------------------------------------------------