%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO267+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 : 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 12:26:18 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO267+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 14:56:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.49 fof(f1,axiom,(
% 0.17/0.49 (! [X,Y] :( unequally_directed_opposite_lines(X,Y)<=> unequally_directed_lines(X,reverse_line(Y)) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f18,axiom,(
% 0.17/0.49 (! [L,M] :( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f37,conjecture,(
% 0.17/0.49 (! [L,M,N] :( unequally_directed_opposite_lines(L,M)=> ( unequally_directed_opposite_lines(M,N)| unequally_directed_lines(M,N) ) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f38,negated_conjecture,(
% 0.17/0.49 ~((! [L,M,N] :( unequally_directed_opposite_lines(L,M)=> ( unequally_directed_opposite_lines(M,N)| unequally_directed_lines(M,N) ) ) ))),
% 0.17/0.49 inference(negated_conjecture,[status(cth)],[f37])).
% 0.17/0.49 fof(f39,plain,(
% 0.17/0.49 ![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))))),
% 0.17/0.49 inference(NNF_transformation,[status(thm)],[f1])).
% 0.17/0.49 fof(f40,plain,(
% 0.17/0.49 (![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))))),
% 0.17/0.49 inference(miniscoping,[status(thm)],[f39])).
% 0.17/0.49 fof(f42,plain,(
% 0.17/0.49 ![X0,X1]: (unequally_directed_opposite_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f40])).
% 0.17/0.49 fof(f110,plain,(
% 0.17/0.49 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.49 fof(f152,plain,(
% 0.17/0.49 (?[L,M,N]: (unequally_directed_opposite_lines(L,M)&(~unequally_directed_opposite_lines(M,N)&~unequally_directed_lines(M,N))))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.17/0.49 fof(f153,plain,(
% 0.17/0.49 ?[M]: ((?[L]: unequally_directed_opposite_lines(L,M))&(?[N]: (~unequally_directed_opposite_lines(M,N)&~unequally_directed_lines(M,N))))),
% 0.17/0.49 inference(miniscoping,[status(thm)],[f152])).
% 0.17/0.49 fof(f154,plain,(
% 0.17/0.49 (unequally_directed_opposite_lines(sK1_skl,sK0_skl)&(~unequally_directed_opposite_lines(sK0_skl,sK2_skl)&~unequally_directed_lines(sK0_skl,sK2_skl)))),
% 0.17/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(M,sK0_skl),skolemize(L,sK1_skl),skolemize(N,sK2_skl)],[f153])).
% 0.17/0.49 fof(f156,plain,(
% 0.17/0.49 ~unequally_directed_opposite_lines(sK0_skl,sK2_skl)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f154])).
% 0.17/0.49 fof(f157,plain,(
% 0.17/0.49 ~unequally_directed_lines(sK0_skl,sK2_skl)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f154])).
% 0.17/0.49 fof(f182,plain,(
% 0.17/0.49 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_opposite_lines(X0,X1))),
% 0.17/0.49 inference(resolution,[status(thm)],[f110,f42])).
% 0.17/0.49 fof(f184,plain,(
% 0.17/0.49 unequally_directed_opposite_lines(sK0_skl,sK2_skl)),
% 0.17/0.49 inference(resolution,[status(thm)],[f182,f157])).
% 0.17/0.49 fof(f187,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f184,f156])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.50 % Elapsed time: 0.092633 seconds
% 0.17/0.50 % CPU time: 0.359634 seconds
% 0.17/0.50 % Total memory used: 19.626 MB
% 0.17/0.50 % Net memory used: 18.972 MB
%------------------------------------------------------------------------------