%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO211+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:26:06 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO211+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 13:26:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (! [X] : ~ convergent_lines(X,X) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,axiom,(
% 0.11/0.40 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f23,conjecture,(
% 0.11/0.40 (! [L] : unorthogonal_lines(L,L) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f24,negated_conjecture,(
% 0.11/0.40 ~((! [L] : unorthogonal_lines(L,L) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f23])).
% 0.11/0.40 fof(f27,plain,(
% 0.11/0.40 ![X0]: (~convergent_lines(X0,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f61,plain,(
% 0.11/0.40 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.40 fof(f73,plain,(
% 0.11/0.40 (?[L]: ~unorthogonal_lines(L,L))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.11/0.40 fof(f74,plain,(
% 0.11/0.40 ~unorthogonal_lines(sK0_skl,sK0_skl)),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f73])).
% 0.11/0.40 fof(f75,plain,(
% 0.11/0.40 ~unorthogonal_lines(sK0_skl,sK0_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f74])).
% 0.11/0.40 fof(f81,plain,(
% 0.11/0.40 convergent_lines(sK0_skl,sK0_skl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f61,f75])).
% 0.11/0.40 fof(f83,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f81,f27])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.037574 seconds
% 0.11/0.42 % CPU time: 0.054771 seconds
% 0.11/0.42 % Total memory used: 1.081 MB
% 0.11/0.42 % Net memory used: 1.067 MB
%------------------------------------------------------------------------------