%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO220+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:26:09 PM UTC 2026
% Result : Theorem 0.03s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO220+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 13:51:56 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 % Drodi V4.1.1
% 0.03/0.38 % Refutation found
% 0.03/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.38 fof(f15,axiom,(
% 0.03/0.38 (! [L,M,N] :( ( ~ unorthogonal_lines(L,M)& ~ unorthogonal_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.03/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f16,conjecture,(
% 0.03/0.38 (! [L,M,N] :( ( ~ unorthogonal_lines(L,M)& ~ unorthogonal_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.03/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f17,negated_conjecture,(
% 0.03/0.38 ~((! [L,M,N] :( ( ~ unorthogonal_lines(L,M)& ~ unorthogonal_lines(L,N) )=> ~ convergent_lines(M,N) ) ))),
% 0.03/0.38 inference(negated_conjecture,[status(cth)],[f16])).
% 0.03/0.38 fof(f56,plain,(
% 0.03/0.38 ![L,M,N]: ((unorthogonal_lines(L,M)|unorthogonal_lines(L,N))|~convergent_lines(M,N))),
% 0.03/0.38 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.03/0.38 fof(f57,plain,(
% 0.03/0.38 ![M,N]: ((![L]: (unorthogonal_lines(L,M)|unorthogonal_lines(L,N)))|~convergent_lines(M,N))),
% 0.03/0.38 inference(miniscoping,[status(thm)],[f56])).
% 0.03/0.38 fof(f58,plain,(
% 0.03/0.38 ![X0,X1,X2]: (unorthogonal_lines(X0,X1)|unorthogonal_lines(X0,X2)|~convergent_lines(X1,X2))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f57])).
% 0.03/0.38 fof(f59,plain,(
% 0.03/0.38 (?[L,M,N]: ((~unorthogonal_lines(L,M)&~unorthogonal_lines(L,N))&convergent_lines(M,N)))),
% 0.03/0.38 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.03/0.38 fof(f60,plain,(
% 0.03/0.38 ?[M,N]: ((?[L]: (~unorthogonal_lines(L,M)&~unorthogonal_lines(L,N)))&convergent_lines(M,N))),
% 0.03/0.38 inference(miniscoping,[status(thm)],[f59])).
% 0.03/0.38 fof(f61,plain,(
% 0.03/0.38 ((~unorthogonal_lines(sK2_skl,sK0_skl)&~unorthogonal_lines(sK2_skl,sK1_skl))&convergent_lines(sK0_skl,sK1_skl))),
% 0.03/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(M,sK0_skl),skolemize(N,sK1_skl),skolemize(L,sK2_skl)],[f60])).
% 0.03/0.38 fof(f62,plain,(
% 0.03/0.38 ~unorthogonal_lines(sK2_skl,sK0_skl)),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f61])).
% 0.03/0.38 fof(f63,plain,(
% 0.03/0.38 ~unorthogonal_lines(sK2_skl,sK1_skl)),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f61])).
% 0.03/0.38 fof(f64,plain,(
% 0.03/0.38 convergent_lines(sK0_skl,sK1_skl)),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f61])).
% 0.03/0.38 fof(f82,plain,(
% 0.03/0.38 ![X0]: (unorthogonal_lines(X0,sK0_skl)|unorthogonal_lines(X0,sK1_skl))),
% 0.03/0.38 inference(resolution,[status(thm)],[f58,f64])).
% 0.03/0.38 fof(f104,plain,(
% 0.03/0.38 unorthogonal_lines(sK2_skl,sK0_skl)),
% 0.03/0.38 inference(resolution,[status(thm)],[f82,f63])).
% 0.03/0.38 fof(f105,plain,(
% 0.03/0.38 $false),
% 0.03/0.38 inference(forward_subsumption_resolution,[status(thm)],[f104,f62])).
% 0.03/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.40 % Elapsed time: 0.039823 seconds
% 0.03/0.40 % CPU time: 0.111585 seconds
% 0.03/0.40 % Total memory used: 16.306 MB
% 0.03/0.40 % Net memory used: 15.987 MB
%------------------------------------------------------------------------------