%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:26:16 PM UTC 2026
% Result : Theorem 0.20s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n010.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 14:48:26 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f5,axiom,(
% 0.20/0.50 (! [L,A,B,C] :( between_on_line(L,A,B,C)<=> ( ( before_on_line(L,A,B)& before_on_line(L,B,C) )| ( before_on_line(L,C,B)& before_on_line(L,B,A) ) ) ) )),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f32,conjecture,(
% 0.20/0.50 (! [L,A,B,C] :( between_on_line(L,A,B,C)=> between_on_line(L,C,B,A) ) )),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f33,negated_conjecture,(
% 0.20/0.50 ~((! [L,A,B,C] :( between_on_line(L,A,B,C)=> between_on_line(L,C,B,A) ) ))),
% 0.20/0.50 inference(negated_conjecture,[status(cth)],[f32])).
% 0.20/0.50 fof(f62,plain,(
% 0.20/0.50 ![L,A,B,C]: ((~between_on_line(L,A,B,C)|((before_on_line(L,A,B)&before_on_line(L,B,C))|(before_on_line(L,C,B)&before_on_line(L,B,A))))&(between_on_line(L,A,B,C)|((~before_on_line(L,A,B)|~before_on_line(L,B,C))&(~before_on_line(L,C,B)|~before_on_line(L,B,A)))))),
% 0.20/0.50 inference(NNF_transformation,[status(thm)],[f5])).
% 0.20/0.50 fof(f63,plain,(
% 0.20/0.50 (![L,A,B,C]: (~between_on_line(L,A,B,C)|((before_on_line(L,A,B)&before_on_line(L,B,C))|(before_on_line(L,C,B)&before_on_line(L,B,A)))))&(![L,A,B,C]: (between_on_line(L,A,B,C)|((~before_on_line(L,A,B)|~before_on_line(L,B,C))&(~before_on_line(L,C,B)|~before_on_line(L,B,A)))))),
% 0.20/0.50 inference(miniscoping,[status(thm)],[f62])).
% 0.20/0.50 fof(f64,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X1,X2)|before_on_line(X0,X3,X2))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f63])).
% 0.20/0.50 fof(f65,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X1,X2)|before_on_line(X0,X2,X1))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f63])).
% 0.20/0.50 fof(f66,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X2,X3)|before_on_line(X0,X3,X2))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f63])).
% 0.20/0.50 fof(f67,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X2,X3)|before_on_line(X0,X2,X1))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f63])).
% 0.20/0.50 fof(f68,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (between_on_line(X0,X1,X2,X3)|~before_on_line(X0,X1,X2)|~before_on_line(X0,X2,X3))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f63])).
% 0.20/0.50 fof(f69,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (between_on_line(X0,X1,X2,X3)|~before_on_line(X0,X3,X2)|~before_on_line(X0,X2,X1))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f63])).
% 0.20/0.50 fof(f130,plain,(
% 0.20/0.50 (?[L,A,B,C]: (between_on_line(L,A,B,C)&~between_on_line(L,C,B,A)))),
% 0.20/0.50 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.20/0.50 fof(f131,plain,(
% 0.20/0.50 (between_on_line(sK0_skl,sK1_skl,sK2_skl,sK3_skl)&~between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl))),
% 0.20/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(L,sK0_skl),skolemize(A,sK1_skl),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f130])).
% 0.20/0.50 fof(f132,plain,(
% 0.20/0.50 between_on_line(sK0_skl,sK1_skl,sK2_skl,sK3_skl)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f131])).
% 0.20/0.50 fof(f133,plain,(
% 0.20/0.50 ~between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f131])).
% 0.20/0.50 fof(f139,plain,(
% 0.20/0.50 before_on_line(sK0_skl,sK1_skl,sK2_skl)|before_on_line(sK0_skl,sK3_skl,sK2_skl)),
% 0.20/0.50 inference(resolution,[status(thm)],[f64,f132])).
% 0.20/0.50 fof(f140,definition,(
% 0.20/0.50 sQ0_spl <=> (before_on_line(sK0_skl,sK1_skl,sK2_skl))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f141,plain,(
% 0.20/0.50 before_on_line(sK0_skl,sK1_skl,sK2_skl)|~sQ0_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f140])).
% 0.20/0.50 fof(f143,definition,(
% 0.20/0.50 sQ1_spl <=> (before_on_line(sK0_skl,sK3_skl,sK2_skl))),
% 0.20/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/0.50 fof(f144,plain,(
% 0.20/0.50 before_on_line(sK0_skl,sK3_skl,sK2_skl)|~sQ1_spl),
% 0.20/0.50 inference(component_clause,[status(thm)],[f143])).
% 0.20/0.50 fof(f146,plain,(
% 0.20/0.50 sQ0_spl|sQ1_spl),
% 0.20/0.50 inference(split_clause,[status(thm)],[f139,f140,f143])).
% 0.20/0.50 fof(f147,plain,(
% 0.20/0.50 before_on_line(sK0_skl,sK1_skl,sK2_skl)|before_on_line(sK0_skl,sK2_skl,sK1_skl)),
% 0.20/0.50 inference(resolution,[status(thm)],[f65,f132])).
% 0.20/0.50 fof(f148,definition,(
% 0.20/0.51 sQ2_spl <=> (before_on_line(sK0_skl,sK2_skl,sK1_skl))),
% 0.20/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.20/0.51 fof(f149,plain,(
% 0.20/0.51 before_on_line(sK0_skl,sK2_skl,sK1_skl)|~sQ2_spl),
% 0.20/0.51 inference(component_clause,[status(thm)],[f148])).
% 0.20/0.51 fof(f151,plain,(
% 0.20/0.51 sQ0_spl|sQ2_spl),
% 0.20/0.51 inference(split_clause,[status(thm)],[f147,f140,f148])).
% 0.20/0.51 fof(f152,plain,(
% 0.20/0.51 before_on_line(sK0_skl,sK2_skl,sK3_skl)|before_on_line(sK0_skl,sK3_skl,sK2_skl)),
% 0.20/0.51 inference(resolution,[status(thm)],[f66,f132])).
% 0.20/0.51 fof(f153,definition,(
% 0.20/0.51 sQ3_spl <=> (before_on_line(sK0_skl,sK2_skl,sK3_skl))),
% 0.20/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.20/0.51 fof(f154,plain,(
% 0.20/0.51 before_on_line(sK0_skl,sK2_skl,sK3_skl)|~sQ3_spl),
% 0.20/0.51 inference(component_clause,[status(thm)],[f153])).
% 0.20/0.51 fof(f156,plain,(
% 0.20/0.51 sQ3_spl|sQ1_spl),
% 0.20/0.51 inference(split_clause,[status(thm)],[f152,f153,f143])).
% 0.20/0.51 fof(f157,plain,(
% 0.20/0.51 before_on_line(sK0_skl,sK2_skl,sK3_skl)|before_on_line(sK0_skl,sK2_skl,sK1_skl)),
% 0.20/0.51 inference(resolution,[status(thm)],[f67,f132])).
% 0.20/0.51 fof(f158,plain,(
% 0.20/0.51 sQ3_spl|sQ2_spl),
% 0.20/0.51 inference(split_clause,[status(thm)],[f157,f153,f148])).
% 0.20/0.51 fof(f162,plain,(
% 0.20/0.51 ![X0]: (between_on_line(sK0_skl,X0,sK2_skl,sK1_skl)|~before_on_line(sK0_skl,sK2_skl,X0)|~sQ0_spl)),
% 0.20/0.51 inference(resolution,[status(thm)],[f69,f141])).
% 0.20/0.51 fof(f165,plain,(
% 0.20/0.51 between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl)|~sQ0_spl|~sQ3_spl),
% 0.20/0.51 inference(resolution,[status(thm)],[f162,f154])).
% 0.20/0.51 fof(f166,plain,(
% 0.20/0.51 $false|~sQ0_spl|~sQ3_spl),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f165,f133])).
% 0.20/0.51 fof(f167,plain,(
% 0.20/0.51 ~sQ0_spl|~sQ3_spl),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f166])).
% 0.20/0.51 fof(f171,plain,(
% 0.20/0.51 ![X0]: (between_on_line(sK0_skl,X0,sK2_skl,sK1_skl)|~before_on_line(sK0_skl,X0,sK2_skl)|~sQ2_spl)),
% 0.20/0.51 inference(resolution,[status(thm)],[f149,f68])).
% 0.20/0.51 fof(f173,plain,(
% 0.20/0.51 between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl)|~sQ2_spl|~sQ1_spl),
% 0.20/0.51 inference(resolution,[status(thm)],[f171,f144])).
% 0.20/0.51 fof(f174,plain,(
% 0.20/0.51 $false|~sQ2_spl|~sQ1_spl),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f173,f133])).
% 0.20/0.51 fof(f175,plain,(
% 0.20/0.51 ~sQ2_spl|~sQ1_spl),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f174])).
% 0.20/0.51 fof(f176,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f146,f151,f156,f158,f167,f175])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.54 % Elapsed time: 0.074903 seconds
% 0.24/0.54 % CPU time: 0.150070 seconds
% 0.24/0.54 % Total memory used: 17.806 MB
% 0.24/0.54 % Net memory used: 17.753 MB
%------------------------------------------------------------------------------