TSTP Solution File: GEO221+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:08:23 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:00:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (! [X] : ~ distinct_lines(X,X) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f20,axiom,(
% 0.13/0.37 (! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f21,axiom,(
% 0.13/0.37 (! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f22,axiom,(
% 0.13/0.37 (! [A,L,M,N] :( distinct_lines(L,M)=> ( apart_point_and_line(A,L)| apart_point_and_line(A,M)| unorthogonal_lines(L,N)| unorthogonal_lines(M,N) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f23,conjecture,(
% 0.13/0.37 (! [A,B,L] :( ~ apart_point_and_line(B,orthogonal_through_point(L,A))=> ~ distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f24,negated_conjecture,(
% 0.13/0.37 ~((! [A,B,L] :( ~ apart_point_and_line(B,orthogonal_through_point(L,A))=> ~ distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f23])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 ![X0]: (~distinct_lines(X0,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f31])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.37 fof(f68,plain,(
% 0.13/0.37 ![X0,X1]: (~unorthogonal_lines(orthogonal_through_point(X0,X1),X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.37 fof(f69,plain,(
% 0.13/0.37 ![X0,X1]: (~apart_point_and_line(X0,orthogonal_through_point(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.37 fof(f70,plain,(
% 0.13/0.37 ![A,L,M,N]: (~distinct_lines(L,M)|(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.13/0.37 fof(f71,plain,(
% 0.13/0.37 ![L,M]: (~distinct_lines(L,M)|(![N]: (((![A]: (apart_point_and_line(A,L)|apart_point_and_line(A,M)))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f70])).
% 0.13/0.37 fof(f72,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~distinct_lines(X0,X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|unorthogonal_lines(X0,X3)|unorthogonal_lines(X1,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f71])).
% 0.13/0.37 fof(f73,plain,(
% 0.13/0.37 (?[A,B,L]: (~apart_point_and_line(B,orthogonal_through_point(L,A))&distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.13/0.37 fof(f74,plain,(
% 0.13/0.37 (~apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))&distinct_lines(orthogonal_through_point(sk0_2,sk0_0),orthogonal_through_point(sk0_2,sk0_1)))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f73])).
% 0.13/0.37 fof(f75,plain,(
% 0.13/0.37 ~apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f74])).
% 0.13/0.37 fof(f76,plain,(
% 0.13/0.37 distinct_lines(orthogonal_through_point(sk0_2,sk0_0),orthogonal_through_point(sk0_2,sk0_1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f74])).
% 0.13/0.37 fof(f80,plain,(
% 0.13/0.37 ![X0]: (distinct_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|distinct_lines(orthogonal_through_point(sk0_2,sk0_1),X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f33,f76])).
% 0.13/0.37 fof(f81,plain,(
% 0.13/0.37 spl0_0 <=> apart_point_and_line(X0,orthogonal_through_point(sk0_2,sk0_0))|apart_point_and_line(X0,orthogonal_through_point(sk0_2,sk0_1))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f82,plain,(
% 0.13/0.38 ![X0]: (apart_point_and_line(X0,orthogonal_through_point(sk0_2,sk0_0))|apart_point_and_line(X0,orthogonal_through_point(sk0_2,sk0_1))|~spl0_0)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![X0,X1]: (distinct_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|distinct_lines(orthogonal_through_point(sk0_2,sk0_1),X1)|distinct_lines(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f80,f33])).
% 0.13/0.38 fof(f94,plain,(
% 0.13/0.38 ![X0]: (distinct_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_1)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f90,f26])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 ![X0,X1]: (distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_1))|distinct_lines(orthogonal_through_point(sk0_2,sk0_0),X1)|distinct_lines(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f94,f33])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 ![X0]: (distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_1))|distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f96,f26])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 distinct_lines(orthogonal_through_point(sk0_2,sk0_1),orthogonal_through_point(sk0_2,sk0_0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f100,f26])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 spl0_6 <=> unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_1),X1)|unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ![X0]: (unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_1),X0)|unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|~spl0_6)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f134])).
% 0.13/0.38 fof(f137,plain,(
% 0.13/0.38 ![X0,X1]: (apart_point_and_line(X0,orthogonal_through_point(sk0_2,sk0_1))|apart_point_and_line(X0,orthogonal_through_point(sk0_2,sk0_0))|unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_1),X1)|unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f72,f103])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 spl0_0|spl0_6),
% 0.13/0.38 inference(split_clause,[status(thm)],[f137,f81,f134])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))|~spl0_0),
% 0.13/0.38 inference(resolution,[status(thm)],[f82,f69])).
% 0.13/0.38 fof(f189,plain,(
% 0.13/0.38 $false|~spl0_0),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f188,f75])).
% 0.13/0.38 fof(f190,plain,(
% 0.13/0.38 ~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f189])).
% 0.13/0.38 fof(f194,plain,(
% 0.13/0.38 unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),sk0_2)|~spl0_6),
% 0.13/0.38 inference(resolution,[status(thm)],[f135,f68])).
% 0.13/0.38 fof(f195,plain,(
% 0.13/0.38 $false|~spl0_6),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f194,f68])).
% 0.13/0.38 fof(f196,plain,(
% 0.13/0.38 ~spl0_6),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f195])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f138,f190,f196])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.032671 seconds
% 0.13/0.38 % CPU time: 0.119662 seconds
% 0.13/0.38 % Memory used: 2.730 MB
%------------------------------------------------------------------------------