%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO047-3 : 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 : n003.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 12:25:38 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:40:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.46 % Refutation found
% 0.09/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.46 fof(f53,axiom,(
% 0.09/0.46 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 0.09/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.46 fof(f55,axiom,(
% 0.09/0.46 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(V,W,X)| between(U,V,X)| V = W ) ))),
% 0.09/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.46 fof(f57,hypothesis,(
% 0.09/0.46 between(u,v,w) ),
% 0.09/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.46 fof(f58,hypothesis,(
% 0.09/0.46 between(u,w,x) ),
% 0.09/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.46 fof(f59,negated_conjecture,(
% 0.09/0.46 ~ between(u,v,x) ),
% 0.09/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.46 fof(f127,plain,(
% 0.09/0.46 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 0.09/0.46 inference(miniscoping,[status(thm)],[f53])).
% 0.09/0.46 fof(f128,plain,(
% 0.09/0.46 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 0.09/0.46 inference(cnf_transformation,[status(thm)],[f127])).
% 0.09/0.46 fof(f131,plain,(
% 0.09/0.46 ![V,W]: ((![U,X]: ((~between(U,V,W)|~between(V,W,X))|between(U,V,X)))|V=W)),
% 0.09/0.46 inference(miniscoping,[status(thm)],[f55])).
% 0.09/0.46 fof(f132,plain,(
% 0.09/0.46 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X2,X3)|between(X0,X1,X3)|X1=X2)),
% 0.09/0.46 inference(cnf_transformation,[status(thm)],[f131])).
% 0.09/0.46 fof(f135,plain,(
% 0.09/0.46 between(u,v,w)),
% 0.09/0.46 inference(cnf_transformation,[status(thm)],[f57])).
% 0.09/0.46 fof(f136,plain,(
% 0.09/0.46 between(u,w,x)),
% 0.09/0.46 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.46 fof(f137,plain,(
% 0.09/0.46 ~between(u,v,x)),
% 0.09/0.46 inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.46 fof(f175,definition,(
% 0.09/0.46 sQ5_spl <=> (w=v)),
% 0.09/0.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.46 fof(f176,plain,(
% 0.09/0.46 w=v|~sQ5_spl),
% 0.09/0.46 inference(component_clause,[status(thm)],[f175])).
% 0.09/0.46 fof(f201,plain,(
% 0.09/0.46 between(u,v,x)|~sQ5_spl),
% 0.09/0.46 inference(backward_demodulation,[status(thm)],[f176,f136])).
% 0.09/0.46 fof(f203,plain,(
% 0.09/0.46 $false|~sQ5_spl),
% 0.09/0.46 inference(forward_subsumption_resolution,[status(thm)],[f201,f137])).
% 0.09/0.46 fof(f204,plain,(
% 0.09/0.46 ~sQ5_spl),
% 0.09/0.46 inference(contradiction_clause,[status(thm)],[f203])).
% 0.09/0.46 fof(f270,plain,(
% 0.09/0.46 ![X0]: (~between(v,w,X0)|between(u,v,X0)|v=w)),
% 0.09/0.46 inference(resolution,[status(thm)],[f135,f132])).
% 0.09/0.46 fof(f273,plain,(
% 0.09/0.46 ![X0]: (~between(u,w,X0)|between(v,w,X0))),
% 0.09/0.46 inference(resolution,[status(thm)],[f135,f128])).
% 0.09/0.46 fof(f282,definition,(
% 0.09/0.46 ![X0]: (sQ14_spl <=> (~between(v,w,X0)|between(u,v,X0)))),
% 0.09/0.46 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.46 fof(f283,plain,(
% 0.09/0.46 ![X0]: (~between(v,w,X0)|between(u,v,X0)|~sQ14_spl)),
% 0.09/0.46 inference(component_clause,[status(thm)],[f282])).
% 0.09/0.46 fof(f285,plain,(
% 0.09/0.46 sQ14_spl|sQ5_spl),
% 0.09/0.46 inference(split_clause,[status(thm)],[f270,f282,f175])).
% 0.09/0.46 fof(f691,plain,(
% 0.09/0.46 between(v,w,x)),
% 0.09/0.46 inference(resolution,[status(thm)],[f273,f136])).
% 0.09/0.46 fof(f872,plain,(
% 0.09/0.46 between(u,v,x)|~sQ14_spl),
% 0.09/0.46 inference(resolution,[status(thm)],[f283,f691])).
% 0.09/0.46 fof(f876,plain,(
% 0.09/0.46 $false|~sQ14_spl),
% 0.09/0.46 inference(forward_subsumption_resolution,[status(thm)],[f872,f137])).
% 0.09/0.46 fof(f877,plain,(
% 0.09/0.46 ~sQ14_spl),
% 0.09/0.46 inference(contradiction_clause,[status(thm)],[f876])).
% 0.09/0.46 fof(f878,plain,(
% 0.09/0.46 $false),
% 0.09/0.46 inference(sat_refutation,[status(thm)],[f204,f285,f877])).
% 0.09/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.47 % Elapsed time: 0.103495 seconds
% 0.09/0.47 % CPU time: 0.585906 seconds
% 0.09/0.47 % Total memory used: 107.880 MB
% 0.09/0.47 % Net memory used: 107.124 MB
%------------------------------------------------------------------------------