%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO220+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO220+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 13:38:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f26,axiom,(
% 0.09/0.40 (! [L,M,N] :( ( ~ unorthogonal_lines(L,M)& ~ unorthogonal_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f33,axiom,(
% 0.09/0.40 (! [X,Y] :( parallel_lines(X,Y)<=> ~ convergent_lines(X,Y) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f35,axiom,(
% 0.09/0.40 (! [X,Y] :( orthogonal_lines(X,Y)<=> ~ unorthogonal_lines(X,Y) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f36,conjecture,(
% 0.09/0.40 (! [L,M,N] :( ( orthogonal_lines(L,M)& orthogonal_lines(L,N) )=> parallel_lines(M,N) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f37,negated_conjecture,(
% 0.09/0.40 ~((! [L,M,N] :( ( orthogonal_lines(L,M)& orthogonal_lines(L,N) )=> parallel_lines(M,N) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f36])).
% 0.09/0.40 fof(f96,plain,(
% 0.09/0.40 ![L,M,N]: ((unorthogonal_lines(L,M)|unorthogonal_lines(L,N))|~convergent_lines(M,N))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.09/0.40 fof(f97,plain,(
% 0.09/0.40 ![M,N]: ((![L]: (unorthogonal_lines(L,M)|unorthogonal_lines(L,N)))|~convergent_lines(M,N))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f96])).
% 0.09/0.40 fof(f98,plain,(
% 0.09/0.40 ![X0,X1,X2]: (unorthogonal_lines(X0,X1)|unorthogonal_lines(X0,X2)|~convergent_lines(X1,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.40 fof(f115,plain,(
% 0.09/0.40 ![X,Y]: ((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f33])).
% 0.09/0.40 fof(f116,plain,(
% 0.09/0.40 (![X,Y]: (~parallel_lines(X,Y)|~convergent_lines(X,Y)))&(![X,Y]: (parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f115])).
% 0.09/0.40 fof(f118,plain,(
% 0.09/0.40 ![X0,X1]: (parallel_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.09/0.40 fof(f123,plain,(
% 0.09/0.40 ![X,Y]: ((~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))&(orthogonal_lines(X,Y)|unorthogonal_lines(X,Y)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f35])).
% 0.09/0.40 fof(f124,plain,(
% 0.09/0.40 (![X,Y]: (~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y)))&(![X,Y]: (orthogonal_lines(X,Y)|unorthogonal_lines(X,Y)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f123])).
% 0.09/0.40 fof(f125,plain,(
% 0.09/0.40 ![X0,X1]: (~orthogonal_lines(X0,X1)|~unorthogonal_lines(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f124])).
% 0.09/0.40 fof(f127,plain,(
% 0.09/0.40 (?[L,M,N]: ((orthogonal_lines(L,M)&orthogonal_lines(L,N))&~parallel_lines(M,N)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.09/0.40 fof(f128,plain,(
% 0.09/0.40 ?[M,N]: ((?[L]: (orthogonal_lines(L,M)&orthogonal_lines(L,N)))&~parallel_lines(M,N))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f127])).
% 0.09/0.40 fof(f129,plain,(
% 0.09/0.40 ((orthogonal_lines(sK2_skl,sK0_skl)&orthogonal_lines(sK2_skl,sK1_skl))&~parallel_lines(sK0_skl,sK1_skl))),
% 0.09/0.40 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)],[f128])).
% 0.09/0.40 fof(f130,plain,(
% 0.09/0.40 orthogonal_lines(sK2_skl,sK0_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.40 fof(f131,plain,(
% 0.09/0.40 orthogonal_lines(sK2_skl,sK1_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.40 fof(f132,plain,(
% 0.09/0.40 ~parallel_lines(sK0_skl,sK1_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.40 fof(f143,plain,(
% 0.09/0.40 ~unorthogonal_lines(sK2_skl,sK1_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f125,f131])).
% 0.09/0.40 fof(f144,plain,(
% 0.09/0.40 ~unorthogonal_lines(sK2_skl,sK0_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f125,f130])).
% 0.09/0.40 fof(f145,plain,(
% 0.09/0.40 convergent_lines(sK0_skl,sK1_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f118,f132])).
% 0.09/0.40 fof(f155,plain,(
% 0.09/0.40 ![X0]: (unorthogonal_lines(X0,sK0_skl)|unorthogonal_lines(X0,sK1_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f145,f98])).
% 0.09/0.40 fof(f159,plain,(
% 0.09/0.40 unorthogonal_lines(sK2_skl,sK0_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f155,f143])).
% 0.09/0.40 fof(f164,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f159,f144])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.051070 seconds
% 0.09/0.43 % CPU time: 0.128448 seconds
% 0.09/0.43 % Total memory used: 18.322 MB
% 0.09/0.43 % Net memory used: 18.242 MB
%------------------------------------------------------------------------------