%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO232+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 : n011.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 12:26:12 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 14:14:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f10,axiom,(
% 0.14/0.38 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,axiom,(
% 0.14/0.38 (! [L,M] :( ( line(L)& line(M) )=> ( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f32,conjecture,(
% 0.14/0.38 (! [L] :( line(L)=> unequally_directed_lines(L,reverse_line(L)) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f33,negated_conjecture,(
% 0.14/0.38 ~((! [L] :( line(L)=> unequally_directed_lines(L,reverse_line(L)) ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f32])).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f88,plain,(
% 0.14/0.38 ![L,M]: ((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f89,plain,(
% 0.14/0.38 ![X0,X1]: (~line(X0)|~line(X1)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f88])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 (?[L]: (line(L)&~unequally_directed_lines(L,reverse_line(L))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.14/0.38 fof(f131,plain,(
% 0.14/0.38 (line(sK0_skl)&~unequally_directed_lines(sK0_skl,reverse_line(sK0_skl)))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f130])).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 line(sK0_skl)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f131])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 ~unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f131])).
% 0.14/0.38 fof(f148,plain,(
% 0.14/0.38 ![X0]: (~line(X0)|unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(sK0_skl,reverse_line(X0)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f89,f132])).
% 0.14/0.38 fof(f153,plain,(
% 0.14/0.38 unequally_directed_lines(sK0_skl,sK0_skl)|unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.14/0.38 inference(resolution,[status(thm)],[f148,f132])).
% 0.14/0.38 fof(f169,definition,(
% 0.14/0.38 sQ4_spl <=> (unequally_directed_lines(sK0_skl,reverse_line(sK0_skl)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))|~sQ4_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f169])).
% 0.14/0.38 fof(f173,definition,(
% 0.14/0.38 sQ5_spl <=> (unequally_directed_lines(sK0_skl,sK0_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f174,plain,(
% 0.14/0.38 unequally_directed_lines(sK0_skl,sK0_skl)|~sQ5_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f173])).
% 0.14/0.38 fof(f176,plain,(
% 0.14/0.38 sQ5_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f153,f173,f169])).
% 0.14/0.38 fof(f177,plain,(
% 0.14/0.38 $false|~sQ4_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f170,f133])).
% 0.14/0.38 fof(f178,plain,(
% 0.14/0.38 ~sQ4_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f177])).
% 0.14/0.38 fof(f179,plain,(
% 0.14/0.38 $false|~sQ5_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f174,f78])).
% 0.14/0.38 fof(f180,plain,(
% 0.14/0.38 ~sQ5_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f179])).
% 0.14/0.38 fof(f181,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f176,f178,f180])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.041636 seconds
% 0.14/0.40 % CPU time: 0.104878 seconds
% 0.14/0.40 % Total memory used: 15.980 MB
% 0.14/0.40 % Net memory used: 15.913 MB
%------------------------------------------------------------------------------