%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO233+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 : n019.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 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO233+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
% 0.10/5.38 % Computer : n019.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 20 14:10:12 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f4,axiom,(
% 0.14/5.41 (! [X,Y] :( equally_directed_lines(X,Y)<=> ~ unequally_directed_lines(X,Y) ) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f15,axiom,(
% 0.14/5.41 (! [L] : equally_directed_lines(L,L) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f18,axiom,(
% 0.14/5.41 (! [L,M] :( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f19,axiom,(
% 0.14/5.41 (! [L,M] :( ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) )=> ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) ) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f21,axiom,(
% 0.14/5.41 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f37,conjecture,(
% 0.14/5.41 (! [L] : equally_directed_lines(reverse_line(reverse_line(L)),L) )),
% 0.14/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f38,negated_conjecture,(
% 0.14/5.41 ~((! [L] : equally_directed_lines(reverse_line(reverse_line(L)),L) ))),
% 0.14/5.41 inference(negated_conjecture,[status(cth)],[f37])).
% 0.14/5.41 fof(f51,plain,(
% 0.14/5.41 ![X,Y]: ((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.14/5.41 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/5.41 fof(f52,plain,(
% 0.14/5.41 (![X,Y]: (~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y)))&(![X,Y]: (equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f51])).
% 0.14/5.41 fof(f53,plain,(
% 0.14/5.41 ![X0,X1]: (~equally_directed_lines(X0,X1)|~unequally_directed_lines(X0,X1))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/5.41 fof(f54,plain,(
% 0.14/5.41 ![X0,X1]: (equally_directed_lines(X0,X1)|unequally_directed_lines(X0,X1))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/5.41 fof(f100,plain,(
% 0.14/5.41 ![X0]: (equally_directed_lines(X0,X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/5.41 fof(f110,plain,(
% 0.14/5.41 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/5.41 fof(f111,plain,(
% 0.14/5.41 ![L,M]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M))))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.14/5.41 fof(f112,plain,(
% 0.14/5.41 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1)|left_convergent_lines(X0,reverse_line(X1)))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f111])).
% 0.14/5.41 fof(f117,plain,(
% 0.14/5.41 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.14/5.41 fof(f118,plain,(
% 0.14/5.41 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f117])).
% 0.14/5.41 fof(f119,plain,(
% 0.14/5.41 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f118])).
% 0.14/5.41 fof(f152,plain,(
% 0.14/5.41 (?[L]: ~equally_directed_lines(reverse_line(reverse_line(L)),L))),
% 0.14/5.41 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.14/5.41 fof(f153,plain,(
% 0.14/5.41 ~equally_directed_lines(reverse_line(reverse_line(sK0_skl)),sK0_skl)),
% 0.14/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f152])).
% 0.14/5.41 fof(f154,plain,(
% 0.14/5.41 ~equally_directed_lines(reverse_line(reverse_line(sK0_skl)),sK0_skl)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/5.41 fof(f165,plain,(
% 0.14/5.41 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1))),
% 0.14/5.41 inference(backward_subsumption_resolution,[status(thm)],[f112,f119])).
% 0.14/5.41 fof(f171,plain,(
% 0.14/5.41 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f165,f119])).
% 0.14/5.41 fof(f173,plain,(
% 0.14/5.41 ![X0,X1]: (unequally_directed_lines(X0,X1)|~equally_directed_lines(X0,reverse_line(X1)))),
% 0.14/5.41 inference(resolution,[status(thm)],[f110,f53])).
% 0.14/5.41 fof(f174,plain,(
% 0.14/5.41 ![X0]: (unequally_directed_lines(reverse_line(X0),X0))),
% 0.14/5.41 inference(resolution,[status(thm)],[f173,f100])).
% 0.14/5.41 fof(f198,plain,(
% 0.14/5.41 ![X0]: (~unequally_directed_lines(reverse_line(reverse_line(X0)),X0))),
% 0.14/5.41 inference(resolution,[status(thm)],[f171,f174])).
% 0.14/5.41 fof(f202,plain,(
% 0.14/5.41 ![X0]: (equally_directed_lines(reverse_line(reverse_line(X0)),X0))),
% 0.14/5.41 inference(resolution,[status(thm)],[f198,f54])).
% 0.14/5.41 fof(f204,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(backward_subsumption_resolution,[status(thm)],[f154,f202])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.43 % Elapsed time: 0.039099 seconds
% 0.14/5.43 % CPU time: 0.110439 seconds
% 0.14/5.43 % Total memory used: 15.230 MB
% 0.14/5.43 % Net memory used: 15.124 MB
%------------------------------------------------------------------------------