%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:26:11 PM UTC 2026
% Result : Theorem 0.18s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n026.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 20 14:10:36 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 0.18/0.44 % Refutation found
% 0.18/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.44 fof(f2,axiom,(
% 0.18/0.44 (! [L,M] :( convergent_lines(L,M)<=> ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.18/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f32,conjecture,(
% 0.18/0.44 (! [L,M] :( ~ convergent_lines(L,M)<=> ( ~ unequally_directed_lines(L,M)| ~ unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.18/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.44 fof(f33,negated_conjecture,(
% 0.18/0.44 ~((! [L,M] :( ~ convergent_lines(L,M)<=> ( ~ unequally_directed_lines(L,M)| ~ unequally_directed_lines(L,reverse_line(M)) ) ) ))),
% 0.18/0.44 inference(negated_conjecture,[status(cth)],[f32])).
% 0.18/0.44 fof(f39,plain,(
% 0.18/0.44 ![L,M]: ((~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M))))&(convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))))),
% 0.18/0.44 inference(NNF_transformation,[status(thm)],[f2])).
% 0.18/0.44 fof(f40,plain,(
% 0.18/0.44 (![L,M]: (~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))))&(![L,M]: (convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))))),
% 0.18/0.44 inference(miniscoping,[status(thm)],[f39])).
% 0.18/0.44 fof(f41,plain,(
% 0.18/0.44 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,X1))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.44 fof(f42,plain,(
% 0.18/0.44 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.44 fof(f43,plain,(
% 0.18/0.44 ![X0,X1]: (convergent_lines(X0,X1)|~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.18/0.44 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.44 fof(f130,plain,(
% 0.18/0.44 (?[L,M]: (~convergent_lines(L,M)<~>(~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))))),
% 0.18/0.44 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.18/0.44 fof(f131,plain,(
% 0.18/0.44 ?[L,M]: ((~convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M))))&(convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))))),
% 0.18/0.45 inference(NNF_transformation,[status(thm)],[f130])).
% 0.18/0.45 fof(f132,plain,(
% 0.18/0.45 ((~convergent_lines(sK0_skl,sK1_skl)|(~unequally_directed_lines(sK0_skl,sK1_skl)|~unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))))&(convergent_lines(sK0_skl,sK1_skl)|(unequally_directed_lines(sK0_skl,sK1_skl)&unequally_directed_lines(sK0_skl,reverse_line(sK1_skl)))))),
% 0.18/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f131])).
% 0.18/0.45 fof(f133,plain,(
% 0.18/0.45 ~convergent_lines(sK0_skl,sK1_skl)|~unequally_directed_lines(sK0_skl,sK1_skl)|~unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.18/0.45 inference(cnf_transformation,[status(thm)],[f132])).
% 0.18/0.45 fof(f134,plain,(
% 0.18/0.45 convergent_lines(sK0_skl,sK1_skl)|unequally_directed_lines(sK0_skl,sK1_skl)),
% 0.18/0.45 inference(cnf_transformation,[status(thm)],[f132])).
% 0.18/0.45 fof(f135,plain,(
% 0.18/0.45 convergent_lines(sK0_skl,sK1_skl)|unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.18/0.45 inference(cnf_transformation,[status(thm)],[f132])).
% 0.18/0.45 fof(f141,definition,(
% 0.18/0.45 sQ0_spl <=> (convergent_lines(sK0_skl,sK1_skl))),
% 0.18/0.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.45 fof(f142,plain,(
% 0.18/0.45 convergent_lines(sK0_skl,sK1_skl)|~sQ0_spl),
% 0.18/0.45 inference(component_clause,[status(thm)],[f141])).
% 0.18/0.45 fof(f144,definition,(
% 0.18/0.45 sQ1_spl <=> (unequally_directed_lines(sK0_skl,sK1_skl))),
% 0.18/0.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.45 fof(f146,plain,(
% 0.18/0.45 ~unequally_directed_lines(sK0_skl,sK1_skl)|sQ1_spl),
% 0.18/0.45 inference(component_clause,[status(thm)],[f144])).
% 0.18/0.45 fof(f147,definition,(
% 0.18/0.45 sQ2_spl <=> (unequally_directed_lines(sK0_skl,reverse_line(sK1_skl)))),
% 0.18/0.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.45 fof(f148,plain,(
% 0.18/0.45 unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))|~sQ2_spl),
% 0.18/0.46 inference(component_clause,[status(thm)],[f147])).
% 0.18/0.46 fof(f150,plain,(
% 0.18/0.46 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.46 inference(split_clause,[status(thm)],[f133,f141,f144,f147])).
% 0.18/0.46 fof(f151,plain,(
% 0.18/0.46 sQ0_spl|sQ1_spl),
% 0.18/0.46 inference(split_clause,[status(thm)],[f134,f141,f144])).
% 0.18/0.46 fof(f152,plain,(
% 0.18/0.46 sQ0_spl|sQ2_spl),
% 0.18/0.46 inference(split_clause,[status(thm)],[f135,f141,f147])).
% 0.18/0.46 fof(f153,plain,(
% 0.18/0.46 unequally_directed_lines(sK0_skl,sK1_skl)|~sQ0_spl),
% 0.18/0.46 inference(resolution,[status(thm)],[f41,f142])).
% 0.18/0.46 fof(f154,plain,(
% 0.18/0.46 $false|sQ1_spl|~sQ0_spl),
% 0.18/0.46 inference(forward_subsumption_resolution,[status(thm)],[f153,f146])).
% 0.18/0.46 fof(f155,plain,(
% 0.18/0.46 sQ1_spl|~sQ0_spl),
% 0.18/0.46 inference(contradiction_clause,[status(thm)],[f154])).
% 0.18/0.46 fof(f158,plain,(
% 0.18/0.46 convergent_lines(sK0_skl,sK1_skl)|~unequally_directed_lines(sK0_skl,sK1_skl)|~sQ2_spl),
% 0.18/0.46 inference(resolution,[status(thm)],[f43,f148])).
% 0.18/0.46 fof(f159,plain,(
% 0.18/0.46 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.46 inference(split_clause,[status(thm)],[f158,f141,f144,f147])).
% 0.18/0.46 fof(f160,plain,(
% 0.18/0.46 unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))|~sQ0_spl),
% 0.18/0.46 inference(resolution,[status(thm)],[f142,f42])).
% 0.18/0.46 fof(f162,plain,(
% 0.18/0.46 sQ2_spl|~sQ0_spl),
% 0.18/0.46 inference(split_clause,[status(thm)],[f160,f147,f141])).
% 0.18/0.46 fof(f163,plain,(
% 0.18/0.46 $false),
% 0.18/0.46 inference(sat_refutation,[status(thm)],[f150,f151,f152,f155,f159,f162])).
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.54 % Elapsed time: 0.107013 seconds
% 0.18/0.54 % CPU time: 0.059006 seconds
% 0.18/0.54 % Total memory used: 605.904 KB
% 0.18/0.54 % Net memory used: 604.816 KB
%------------------------------------------------------------------------------