%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO216+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 : n007.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 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO216+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 13:34:05 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f13,axiom,(
% 0.14/0.39 (! [L,M] :~ ( ~ convergent_lines(L,M)& ~ unorthogonal_lines(L,M) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,axiom,(
% 0.14/0.39 (! [L,M,N] :( ( ~ unorthogonal_lines(L,M)& ~ unorthogonal_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,conjecture,(
% 0.14/0.39 (! [L] :~ ~ unorthogonal_lines(L,L) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ~((! [L] :~ ~ unorthogonal_lines(L,L) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f16])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 ![L,M]: (convergent_lines(L,M)|unorthogonal_lines(L,M))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 ![L,M,N]: ((unorthogonal_lines(L,M)|unorthogonal_lines(L,N))|~convergent_lines(M,N))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 ![M,N]: ((![L]: (unorthogonal_lines(L,M)|unorthogonal_lines(L,N)))|~convergent_lines(M,N))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f56])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 ![X0,X1,X2]: (unorthogonal_lines(X0,X1)|unorthogonal_lines(X0,X2)|~convergent_lines(X1,X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 (?[L]: ~unorthogonal_lines(L,L))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 ~unorthogonal_lines(sK0_skl,sK0_skl)),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f59])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 ~unorthogonal_lines(sK0_skl,sK0_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 convergent_lines(sK0_skl,sK0_skl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f49,f61])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X0]: (unorthogonal_lines(X0,sK0_skl)|unorthogonal_lines(X0,sK0_skl))),
% 0.14/0.39 inference(resolution,[status(thm)],[f58,f67])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 ![X0]: (unorthogonal_lines(X0,sK0_skl))),
% 0.14/0.39 inference(duplicate_literals_removal,[status(thm)],[f68])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f61,f69])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.044627 seconds
% 0.14/0.42 % CPU time: 0.116969 seconds
% 0.14/0.42 % Total memory used: 17.205 MB
% 0.14/0.42 % Net memory used: 16.824 MB
%------------------------------------------------------------------------------