%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO227+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 : n007.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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 13:59:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f13,axiom,(
% 0.09/0.41 (! [L,M] :( ( line(L)& line(M) )=> ( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f32,conjecture,(
% 0.09/0.41 (! [L,M] :( ( line(L)& line(M) )=> ~ ( ~ unequally_directed_lines(L,M)& ~ unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f33,negated_conjecture,(
% 0.09/0.41 ~((! [L,M] :( ( line(L)& line(M) )=> ~ ( ~ unequally_directed_lines(L,M)& ~ unequally_directed_lines(L,reverse_line(M)) ) ) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f32])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 ![L,M]: ((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.09/0.41 fof(f89,plain,(
% 0.09/0.41 ![X0,X1]: (~line(X0)|~line(X1)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f88])).
% 0.09/0.41 fof(f130,plain,(
% 0.09/0.41 (?[L,M]: ((line(L)&line(M))&(~unequally_directed_lines(L,M)&~unequally_directed_lines(L,reverse_line(M)))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.09/0.41 fof(f131,plain,(
% 0.09/0.41 ((line(sK0_skl)&line(sK1_skl))&(~unequally_directed_lines(sK0_skl,sK1_skl)&~unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f130])).
% 0.09/0.41 fof(f132,plain,(
% 0.09/0.41 line(sK0_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f131])).
% 0.09/0.41 fof(f133,plain,(
% 0.09/0.41 line(sK1_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f131])).
% 0.09/0.41 fof(f134,plain,(
% 0.09/0.41 ~unequally_directed_lines(sK0_skl,sK1_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f131])).
% 0.09/0.41 fof(f135,plain,(
% 0.09/0.41 ~unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f131])).
% 0.09/0.41 fof(f142,plain,(
% 0.09/0.41 ![X0]: (~line(X0)|unequally_directed_lines(X0,sK1_skl)|unequally_directed_lines(X0,reverse_line(sK1_skl)))),
% 0.09/0.41 inference(resolution,[status(thm)],[f89,f133])).
% 0.09/0.41 fof(f146,plain,(
% 0.09/0.41 unequally_directed_lines(sK0_skl,sK1_skl)|unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f142,f132])).
% 0.09/0.41 fof(f154,definition,(
% 0.09/0.41 sQ2_spl <=> (unequally_directed_lines(sK0_skl,sK1_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f155,plain,(
% 0.09/0.41 unequally_directed_lines(sK0_skl,sK1_skl)|~sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f154])).
% 0.09/0.41 fof(f157,definition,(
% 0.09/0.41 sQ3_spl <=> (unequally_directed_lines(sK0_skl,reverse_line(sK1_skl)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f158,plain,(
% 0.09/0.41 unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))|~sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.09/0.41 fof(f160,plain,(
% 0.09/0.41 sQ2_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f146,f154,f157])).
% 0.09/0.41 fof(f161,plain,(
% 0.09/0.41 $false|~sQ2_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f155,f134])).
% 0.09/0.41 fof(f162,plain,(
% 0.09/0.41 ~sQ2_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f161])).
% 0.09/0.41 fof(f165,plain,(
% 0.09/0.41 $false|~sQ3_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f158,f135])).
% 0.09/0.41 fof(f166,plain,(
% 0.09/0.41 ~sQ3_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f165])).
% 0.09/0.41 fof(f167,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f160,f162,f166])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.044953 seconds
% 0.09/0.43 % CPU time: 0.117067 seconds
% 0.09/0.43 % Total memory used: 19.006 MB
% 0.09/0.43 % Net memory used: 18.933 MB
%------------------------------------------------------------------------------