%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO232+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO232+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 14:12:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (! [X,Y] :( unequally_directed_opposite_lines(X,Y)<=> unequally_directed_lines(X,reverse_line(Y)) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (! [X,Y] :( equally_directed_lines(X,Y)<=> ~ unequally_directed_lines(X,Y) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,axiom,(
% 0.12/0.38 (! [L] : equally_directed_lines(L,L) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f18,axiom,(
% 0.12/0.38 (! [L,M] :( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f37,conjecture,(
% 0.12/0.38 (! [L] : unequally_directed_opposite_lines(L,L) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f38,negated_conjecture,(
% 0.12/0.38 ~((! [L] : unequally_directed_opposite_lines(L,L) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f37])).
% 0.12/0.38 fof(f39,plain,(
% 0.12/0.38 ![X,Y]: ((~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))&(unequally_directed_opposite_lines(X,Y)|~unequally_directed_lines(X,reverse_line(Y))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 (![X,Y]: (~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y))))&(![X,Y]: (unequally_directed_opposite_lines(X,Y)|~unequally_directed_lines(X,reverse_line(Y))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X0,X1]: (unequally_directed_opposite_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ![X,Y]: ((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 (![X,Y]: (~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y)))&(![X,Y]: (equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f51])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 ![X0,X1]: (~equally_directed_lines(X0,X1)|~unequally_directed_lines(X0,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.12/0.38 fof(f100,plain,(
% 0.12/0.38 ![X0]: (equally_directed_lines(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.38 fof(f110,plain,(
% 0.12/0.38 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.38 fof(f152,plain,(
% 0.12/0.38 (?[L]: ~unequally_directed_opposite_lines(L,L))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.12/0.38 fof(f153,plain,(
% 0.12/0.38 ~unequally_directed_opposite_lines(sK0_skl,sK0_skl)),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f152])).
% 0.12/0.38 fof(f154,plain,(
% 0.12/0.38 ~unequally_directed_opposite_lines(sK0_skl,sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f153])).
% 0.12/0.38 fof(f166,plain,(
% 0.12/0.38 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_opposite_lines(X0,X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f110,f42])).
% 0.12/0.38 fof(f169,plain,(
% 0.12/0.38 ![X0,X1]: (unequally_directed_opposite_lines(X0,X1)|~equally_directed_lines(X0,X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f166,f53])).
% 0.12/0.38 fof(f173,plain,(
% 0.12/0.38 ![X0]: (unequally_directed_opposite_lines(X0,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f169,f100])).
% 0.12/0.38 fof(f175,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f154,f173])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.039742 seconds
% 0.12/0.40 % CPU time: 0.093938 seconds
% 0.12/0.40 % Total memory used: 12.021 MB
% 0.12/0.40 % Net memory used: 11.967 MB
%------------------------------------------------------------------------------