%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO265+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:26:17 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO265+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 14:54:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (! [X,Y] :( unequally_directed_opposite_lines(X,Y)<=> unequally_directed_lines(X,reverse_line(Y)) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (! [X,Y] :( equally_directed_lines(X,Y)<=> ~ unequally_directed_lines(X,Y) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,axiom,(
% 0.10/0.39 (! [X,Y] :( equally_directed_opposite_lines(X,Y)<=> ~ unequally_directed_opposite_lines(X,Y) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f37,conjecture,(
% 0.10/0.39 (! [L,M] :( equally_directed_lines(L,reverse_line(M))=> equally_directed_opposite_lines(L,M) ) )),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f38,negated_conjecture,(
% 0.10/0.39 ~((! [L,M] :( equally_directed_lines(L,reverse_line(M))=> equally_directed_opposite_lines(L,M) ) ))),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f37])).
% 0.10/0.39 fof(f39,plain,(
% 0.10/0.39 ![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))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f40,plain,(
% 0.10/0.39 (![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))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 ![X0,X1]: (~unequally_directed_opposite_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 ![X,Y]: ((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f52,plain,(
% 0.10/0.39 (![X,Y]: (~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y)))&(![X,Y]: (equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f51])).
% 0.10/0.39 fof(f53,plain,(
% 0.10/0.39 ![X0,X1]: (~equally_directed_lines(X0,X1)|~unequally_directed_lines(X0,X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 ![X,Y]: ((~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))&(equally_directed_opposite_lines(X,Y)|unequally_directed_opposite_lines(X,Y)))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 (![X,Y]: (~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y)))&(![X,Y]: (equally_directed_opposite_lines(X,Y)|unequally_directed_opposite_lines(X,Y)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f55])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 ![X0,X1]: (equally_directed_opposite_lines(X0,X1)|unequally_directed_opposite_lines(X0,X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.39 fof(f152,plain,(
% 0.10/0.39 (?[L,M]: (equally_directed_lines(L,reverse_line(M))&~equally_directed_opposite_lines(L,M)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.10/0.39 fof(f153,plain,(
% 0.10/0.39 (equally_directed_lines(sK0_skl,reverse_line(sK1_skl))&~equally_directed_opposite_lines(sK0_skl,sK1_skl))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f152])).
% 0.10/0.39 fof(f154,plain,(
% 0.10/0.39 equally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f153])).
% 0.10/0.39 fof(f155,plain,(
% 0.10/0.39 ~equally_directed_opposite_lines(sK0_skl,sK1_skl)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f153])).
% 0.10/0.39 fof(f161,plain,(
% 0.10/0.39 unequally_directed_opposite_lines(sK0_skl,sK1_skl)),
% 0.10/0.39 inference(resolution,[status(thm)],[f58,f155])).
% 0.10/0.39 fof(f169,plain,(
% 0.10/0.39 ![X0,X1]: (~unequally_directed_opposite_lines(X0,X1)|~equally_directed_lines(X0,reverse_line(X1)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f41,f53])).
% 0.10/0.39 fof(f178,plain,(
% 0.10/0.39 ~equally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.10/0.39 inference(resolution,[status(thm)],[f169,f161])).
% 0.10/0.39 fof(f179,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f178,f154])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.040523 seconds
% 0.10/0.41 % CPU time: 0.104754 seconds
% 0.10/0.41 % Total memory used: 16.250 MB
% 0.10/0.41 % Net memory used: 16.181 MB
%------------------------------------------------------------------------------