%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO006-3 : 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 : n008.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 12:25:31 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 08:16:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f46,axiom,(
% 0.10/0.41 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f48,axiom,(
% 0.10/0.41 (![U,V,W]: (( ~ between(U,V,W)| ~ between(V,U,W)| U = V ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f50,hypothesis,(
% 0.10/0.41 a != c ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f52,hypothesis,(
% 0.10/0.41 c != d ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f53,hypothesis,(
% 0.10/0.41 between(a,c,d) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f54,negated_conjecture,(
% 0.10/0.41 ( between(c,a,d)| between(a,d,c) ) ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.10/0.41 fof(f112,plain,(
% 0.10/0.41 ![U,V]: ((![W]: (~between(U,V,W)|~between(V,U,W)))|U=V)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f48])).
% 0.10/0.41 fof(f113,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~between(X0,X1,X2)|~between(X1,X0,X2)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f112])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 ~a=c),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.41 fof(f118,plain,(
% 0.10/0.41 ~c=d),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f52])).
% 0.10/0.41 fof(f119,plain,(
% 0.10/0.41 between(a,c,d)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.41 fof(f120,plain,(
% 0.10/0.41 between(c,a,d)|between(a,d,c)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f54])).
% 0.10/0.41 fof(f121,definition,(
% 0.10/0.41 sQ0_spl <=> (between(c,a,d))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f124,definition,(
% 0.10/0.41 sQ1_spl <=> (between(a,d,c))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 between(a,d,c)|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.41 fof(f127,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f120,f121,f124])).
% 0.10/0.41 fof(f135,plain,(
% 0.10/0.41 between(d,c,a)),
% 0.10/0.41 inference(resolution,[status(thm)],[f110,f119])).
% 0.10/0.41 fof(f142,plain,(
% 0.10/0.41 ~between(c,d,a)|c=d),
% 0.10/0.41 inference(resolution,[status(thm)],[f113,f135])).
% 0.10/0.41 fof(f143,plain,(
% 0.10/0.41 ~between(c,a,d)|c=a),
% 0.10/0.41 inference(resolution,[status(thm)],[f113,f119])).
% 0.10/0.41 fof(f151,definition,(
% 0.10/0.41 sQ3_spl <=> (between(c,d,a))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f153,plain,(
% 0.10/0.41 ~between(c,d,a)|sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f151])).
% 0.10/0.41 fof(f154,definition,(
% 0.10/0.41 sQ4_spl <=> (c=d)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f155,plain,(
% 0.10/0.41 c=d|~sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f154])).
% 0.10/0.41 fof(f157,plain,(
% 0.10/0.41 ~sQ3_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f142,f151,f154])).
% 0.10/0.41 fof(f158,definition,(
% 0.10/0.41 sQ5_spl <=> (c=a)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f159,plain,(
% 0.10/0.41 c=a|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f158])).
% 0.10/0.41 fof(f161,plain,(
% 0.10/0.41 ~sQ0_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f143,f121,f158])).
% 0.10/0.41 fof(f167,plain,(
% 0.10/0.41 between(c,d,a)|~sQ1_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f125,f110])).
% 0.10/0.41 fof(f172,plain,(
% 0.10/0.41 $false|sQ3_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f167,f153])).
% 0.10/0.41 fof(f173,plain,(
% 0.10/0.41 sQ3_spl|~sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f172])).
% 0.10/0.41 fof(f174,plain,(
% 0.10/0.41 $false|~sQ5_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f159,f116])).
% 0.10/0.41 fof(f175,plain,(
% 0.10/0.41 ~sQ5_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f174])).
% 0.10/0.41 fof(f176,plain,(
% 0.10/0.41 $false|~sQ4_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f155,f118])).
% 0.10/0.41 fof(f177,plain,(
% 0.10/0.41 ~sQ4_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f176])).
% 0.10/0.41 fof(f178,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f127,f157,f161,f173,f175,f177])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.061632 seconds
% 0.10/0.45 % CPU time: 0.170026 seconds
% 0.10/0.45 % Total memory used: 102.656 MB
% 0.10/0.45 % Net memory used: 102.601 MB
%------------------------------------------------------------------------------