%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO216+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 : n013.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 12:26:08 PM UTC 2026
% Result : Theorem 0.16s 10.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO216+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.43 % Computer : n013.cluster.edu
% 0.16/10.43 % Model : x86_64 x86_64
% 0.16/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.43 % Memory : 8046.5625MB
% 0.16/10.43 % OS : Linux 6.8.0-71-generic
% 0.16/10.43 % CPULimit : 300
% 0.16/10.43 % WCLimit : 300
% 0.16/10.43 % DateTime : Sun Sep 20 13:37:53 UTC 2026
% 0.16/10.44 % CPUTime :
% 0.16/10.45 % Drodi V4.1.1
% 0.16/10.46 % Refutation found
% 0.16/10.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/10.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/10.46 fof(f3,axiom,(
% 0.16/10.46 (! [X] : ~ convergent_lines(X,X) )),
% 0.16/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.46 fof(f19,axiom,(
% 0.16/10.46 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.16/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.46 fof(f35,axiom,(
% 0.16/10.46 (! [X,Y] :( orthogonal_lines(X,Y)<=> ~ unorthogonal_lines(X,Y) ) )),
% 0.16/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.46 fof(f36,conjecture,(
% 0.16/10.46 (! [L] : ~ orthogonal_lines(L,L) )),
% 0.16/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.46 fof(f37,negated_conjecture,(
% 0.16/10.46 ~((! [L] : ~ orthogonal_lines(L,L) ))),
% 0.16/10.46 inference(negated_conjecture,[status(cth)],[f36])).
% 0.16/10.46 fof(f40,plain,(
% 0.16/10.46 ![X0]: (~convergent_lines(X0,X0))),
% 0.16/10.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/10.46 fof(f76,plain,(
% 0.16/10.46 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.16/10.46 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/10.46 fof(f123,plain,(
% 0.16/10.46 ![X,Y]: ((~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))&(orthogonal_lines(X,Y)|unorthogonal_lines(X,Y)))),
% 0.16/10.46 inference(NNF_transformation,[status(thm)],[f35])).
% 0.16/10.46 fof(f124,plain,(
% 0.16/10.46 (![X,Y]: (~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y)))&(![X,Y]: (orthogonal_lines(X,Y)|unorthogonal_lines(X,Y)))),
% 0.16/10.46 inference(miniscoping,[status(thm)],[f123])).
% 0.16/10.46 fof(f125,plain,(
% 0.16/10.46 ![X0,X1]: (~orthogonal_lines(X0,X1)|~unorthogonal_lines(X0,X1))),
% 0.16/10.46 inference(cnf_transformation,[status(thm)],[f124])).
% 0.16/10.46 fof(f127,plain,(
% 0.16/10.46 (?[L]: orthogonal_lines(L,L))),
% 0.16/10.46 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.16/10.46 fof(f128,plain,(
% 0.16/10.46 orthogonal_lines(sK0_skl,sK0_skl)),
% 0.16/10.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f127])).
% 0.16/10.46 fof(f129,plain,(
% 0.16/10.46 orthogonal_lines(sK0_skl,sK0_skl)),
% 0.16/10.46 inference(cnf_transformation,[status(thm)],[f128])).
% 0.16/10.46 fof(f141,plain,(
% 0.16/10.46 ![X0,X1]: (convergent_lines(X0,X1)|~orthogonal_lines(X0,X1))),
% 0.16/10.46 inference(resolution,[status(thm)],[f76,f125])).
% 0.16/10.46 fof(f145,plain,(
% 0.16/10.46 convergent_lines(sK0_skl,sK0_skl)),
% 0.16/10.46 inference(resolution,[status(thm)],[f141,f129])).
% 0.16/10.46 fof(f147,plain,(
% 0.16/10.46 $false),
% 0.16/10.46 inference(forward_subsumption_resolution,[status(thm)],[f145,f40])).
% 0.16/10.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/10.48 % Elapsed time: 0.036906 seconds
% 0.16/10.48 % CPU time: 0.092880 seconds
% 0.16/10.48 % Total memory used: 11.279 MB
% 0.16/10.48 % Net memory used: 11.235 MB
%------------------------------------------------------------------------------