%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO258+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:26:16 PM UTC 2026
% Result : Theorem 0.18s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO258+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % Computer : n014.cluster.edu
% 0.18/0.47 % Model : x86_64 x86_64
% 0.18/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47 % Memory : 8046.5625MB
% 0.18/0.47 % OS : Linux 6.8.0-71-generic
% 0.18/0.47 % CPULimit : 300
% 0.18/0.47 % WCLimit : 300
% 0.18/0.47 % DateTime : Sun Sep 20 14:45:35 UTC 2026
% 0.18/0.48 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.51 fof(f10,axiom,(
% 0.18/0.51 (! [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) ) ) ) )),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f37,conjecture,(
% 0.18/0.51 (! [L,A,B,C] :( between_on_line(L,A,B,C)=> between_on_line(L,C,B,A) ) )),
% 0.18/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.51 fof(f38,negated_conjecture,(
% 0.18/0.51 ~((! [L,A,B,C] :( between_on_line(L,A,B,C)=> between_on_line(L,C,B,A) ) ))),
% 0.18/0.51 inference(negated_conjecture,[status(cth)],[f37])).
% 0.18/0.51 fof(f84,plain,(
% 0.18/0.51 ![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)))))),
% 0.18/0.51 inference(NNF_transformation,[status(thm)],[f10])).
% 0.18/0.51 fof(f85,plain,(
% 0.18/0.51 (![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)))))),
% 0.18/0.51 inference(miniscoping,[status(thm)],[f84])).
% 0.18/0.51 fof(f86,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X1,X2)|before_on_line(X0,X3,X2))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.18/0.51 fof(f87,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X1,X2)|before_on_line(X0,X2,X1))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.18/0.51 fof(f88,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X2,X3)|before_on_line(X0,X3,X2))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.18/0.51 fof(f89,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (~between_on_line(X0,X1,X2,X3)|before_on_line(X0,X2,X3)|before_on_line(X0,X2,X1))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.18/0.51 fof(f90,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (between_on_line(X0,X1,X2,X3)|~before_on_line(X0,X1,X2)|~before_on_line(X0,X2,X3))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.18/0.51 fof(f91,plain,(
% 0.18/0.51 ![X0,X1,X2,X3]: (between_on_line(X0,X1,X2,X3)|~before_on_line(X0,X3,X2)|~before_on_line(X0,X2,X1))),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.18/0.51 fof(f152,plain,(
% 0.18/0.51 (?[L,A,B,C]: (between_on_line(L,A,B,C)&~between_on_line(L,C,B,A)))),
% 0.18/0.51 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.18/0.51 fof(f153,plain,(
% 0.18/0.51 (between_on_line(sK0_skl,sK1_skl,sK2_skl,sK3_skl)&~between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl))),
% 0.18/0.51 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)],[f152])).
% 0.18/0.51 fof(f154,plain,(
% 0.18/0.51 between_on_line(sK0_skl,sK1_skl,sK2_skl,sK3_skl)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f153])).
% 0.18/0.51 fof(f155,plain,(
% 0.18/0.51 ~between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl)),
% 0.18/0.51 inference(cnf_transformation,[status(thm)],[f153])).
% 0.18/0.51 fof(f161,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK1_skl,sK2_skl)|before_on_line(sK0_skl,sK3_skl,sK2_skl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f86,f154])).
% 0.18/0.51 fof(f162,definition,(
% 0.18/0.51 sQ0_spl <=> (before_on_line(sK0_skl,sK1_skl,sK2_skl))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f163,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK1_skl,sK2_skl)|~sQ0_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f162])).
% 0.18/0.51 fof(f165,definition,(
% 0.18/0.51 sQ1_spl <=> (before_on_line(sK0_skl,sK3_skl,sK2_skl))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f166,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK3_skl,sK2_skl)|~sQ1_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f165])).
% 0.18/0.51 fof(f168,plain,(
% 0.18/0.51 sQ0_spl|sQ1_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f161,f162,f165])).
% 0.18/0.51 fof(f169,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK1_skl,sK2_skl)|before_on_line(sK0_skl,sK2_skl,sK1_skl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f87,f154])).
% 0.18/0.51 fof(f170,definition,(
% 0.18/0.51 sQ2_spl <=> (before_on_line(sK0_skl,sK2_skl,sK1_skl))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f171,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK2_skl,sK1_skl)|~sQ2_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f170])).
% 0.18/0.51 fof(f173,plain,(
% 0.18/0.51 sQ0_spl|sQ2_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f169,f162,f170])).
% 0.18/0.51 fof(f174,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK2_skl,sK3_skl)|before_on_line(sK0_skl,sK3_skl,sK2_skl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f88,f154])).
% 0.18/0.51 fof(f175,definition,(
% 0.18/0.51 sQ3_spl <=> (before_on_line(sK0_skl,sK2_skl,sK3_skl))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f176,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK2_skl,sK3_skl)|~sQ3_spl),
% 0.18/0.51 inference(component_clause,[status(thm)],[f175])).
% 0.18/0.51 fof(f178,plain,(
% 0.18/0.51 sQ3_spl|sQ1_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f174,f175,f165])).
% 0.18/0.51 fof(f179,plain,(
% 0.18/0.51 before_on_line(sK0_skl,sK2_skl,sK3_skl)|before_on_line(sK0_skl,sK2_skl,sK1_skl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f89,f154])).
% 0.18/0.51 fof(f180,plain,(
% 0.18/0.51 sQ3_spl|sQ2_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f179,f175,f170])).
% 0.18/0.51 fof(f184,plain,(
% 0.18/0.51 ![X0]: (between_on_line(sK0_skl,X0,sK2_skl,sK1_skl)|~before_on_line(sK0_skl,sK2_skl,X0)|~sQ0_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f91,f163])).
% 0.18/0.51 fof(f188,plain,(
% 0.18/0.51 between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl)|~sQ0_spl|~sQ3_spl),
% 0.18/0.51 inference(resolution,[status(thm)],[f184,f176])).
% 0.18/0.51 fof(f189,plain,(
% 0.18/0.51 $false|~sQ0_spl|~sQ3_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f188,f155])).
% 0.18/0.51 fof(f190,plain,(
% 0.18/0.51 ~sQ0_spl|~sQ3_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f189])).
% 0.18/0.51 fof(f194,plain,(
% 0.18/0.51 ![X0]: (between_on_line(sK0_skl,X0,sK2_skl,sK1_skl)|~before_on_line(sK0_skl,X0,sK2_skl)|~sQ2_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f171,f90])).
% 0.18/0.51 fof(f196,plain,(
% 0.18/0.51 between_on_line(sK0_skl,sK3_skl,sK2_skl,sK1_skl)|~sQ2_spl|~sQ1_spl),
% 0.18/0.51 inference(resolution,[status(thm)],[f194,f166])).
% 0.18/0.51 fof(f197,plain,(
% 0.18/0.51 $false|~sQ2_spl|~sQ1_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f196,f155])).
% 0.18/0.51 fof(f198,plain,(
% 0.18/0.51 ~sQ2_spl|~sQ1_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f197])).
% 0.18/0.51 fof(f199,plain,(
% 0.18/0.51 $false),
% 0.18/0.51 inference(sat_refutation,[status(thm)],[f168,f173,f178,f180,f190,f198])).
% 0.18/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.55 % Elapsed time: 0.058870 seconds
% 0.23/0.55 % CPU time: 0.060496 seconds
% 0.23/0.55 % Total memory used: 632.480 KB
% 0.23/0.55 % Net memory used: 631.392 KB
%------------------------------------------------------------------------------