%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO211+2 : 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 : n006.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 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO211+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 13:31:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 (! [X] : ~ convergent_lines(X,X) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,axiom,(
% 0.09/0.38 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f21,conjecture,(
% 0.09/0.38 (! [L] : unorthogonal_lines(L,L) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f22,negated_conjecture,(
% 0.09/0.38 ~((! [L] : unorthogonal_lines(L,L) ))),
% 0.09/0.38 inference(negated_conjecture,[status(cth)],[f21])).
% 0.09/0.38 fof(f25,plain,(
% 0.09/0.38 ![X0]: (~convergent_lines(X0,X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f58,plain,(
% 0.09/0.38 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.38 fof(f70,plain,(
% 0.09/0.38 (?[L]: ~unorthogonal_lines(L,L))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.09/0.38 fof(f71,plain,(
% 0.09/0.38 ~unorthogonal_lines(sK0_skl,sK0_skl)),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f70])).
% 0.09/0.38 fof(f72,plain,(
% 0.09/0.38 ~unorthogonal_lines(sK0_skl,sK0_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f71])).
% 0.09/0.38 fof(f78,plain,(
% 0.09/0.38 convergent_lines(sK0_skl,sK0_skl)),
% 0.09/0.38 inference(resolution,[status(thm)],[f58,f72])).
% 0.09/0.38 fof(f80,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(backward_subsumption_resolution,[status(thm)],[f78,f25])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.037483 seconds
% 0.09/0.40 % CPU time: 0.093529 seconds
% 0.09/0.40 % Total memory used: 13.530 MB
% 0.09/0.40 % Net memory used: 13.266 MB
%------------------------------------------------------------------------------