TSTP Solution File: GEO221+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Tue Apr 30 20:17:37 EDT 2024
% Result : Theorem 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 01:45:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.6.0
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.33 fof(f2,axiom,(
% 0.11/0.33 (! [X] : ~ distinct_lines(X,X) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f5,axiom,(
% 0.11/0.33 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f18,axiom,(
% 0.11/0.33 (! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f19,axiom,(
% 0.11/0.33 (! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f20,axiom,(
% 0.11/0.33 (! [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) ) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f21,conjecture,(
% 0.11/0.33 (! [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)) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f22,negated_conjecture,(
% 0.11/0.33 ~((! [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)) ) ))),
% 0.11/0.33 inference(negated_conjecture,[status(cth)],[f21])).
% 0.11/0.33 fof(f24,plain,(
% 0.11/0.33 ![X0]: (~distinct_lines(X0,X0))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.33 fof(f29,plain,(
% 0.11/0.33 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.11/0.33 fof(f30,plain,(
% 0.11/0.33 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f29])).
% 0.11/0.33 fof(f31,plain,(
% 0.11/0.33 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.33 fof(f65,plain,(
% 0.11/0.33 ![X0,X1]: (~unorthogonal_lines(orthogonal_through_point(X0,X1),X0))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f18])).
% 0.11/0.33 fof(f66,plain,(
% 0.11/0.33 ![X0,X1]: (~apart_point_and_line(X0,orthogonal_through_point(X1,X0)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f19])).
% 0.11/0.33 fof(f67,plain,(
% 0.11/0.33 ![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)))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.11/0.33 fof(f68,plain,(
% 0.11/0.33 ![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))))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f67])).
% 0.11/0.33 fof(f69,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f68])).
% 0.11/0.33 fof(f70,plain,(
% 0.11/0.33 (?[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))))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.11/0.33 fof(f71,plain,(
% 0.11/0.33 (~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)))),
% 0.11/0.33 inference(skolemization,[status(esa)],[f70])).
% 0.11/0.33 fof(f72,plain,(
% 0.11/0.33 ~apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f71])).
% 0.11/0.33 fof(f73,plain,(
% 0.11/0.33 distinct_lines(orthogonal_through_point(sk0_2,sk0_0),orthogonal_through_point(sk0_2,sk0_1))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f71])).
% 0.11/0.33 fof(f77,plain,(
% 0.11/0.33 ![X0]: (distinct_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|distinct_lines(orthogonal_through_point(sk0_2,sk0_1),X0))),
% 0.11/0.33 inference(resolution,[status(thm)],[f31,f73])).
% 0.11/0.33 fof(f78,plain,(
% 0.11/0.33 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))),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f79,plain,(
% 0.11/0.34 ![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)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f78])).
% 0.11/0.34 fof(f89,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(resolution,[status(thm)],[f77,f31])).
% 0.11/0.34 fof(f94,plain,(
% 0.11/0.34 ![X0]: (distinct_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_1)))),
% 0.11/0.34 inference(resolution,[status(thm)],[f89,f24])).
% 0.11/0.34 fof(f97,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(resolution,[status(thm)],[f94,f31])).
% 0.11/0.34 fof(f102,plain,(
% 0.11/0.34 ![X0]: (distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_1))|distinct_lines(X0,orthogonal_through_point(sk0_2,sk0_0)))),
% 0.11/0.34 inference(resolution,[status(thm)],[f97,f24])).
% 0.11/0.34 fof(f106,plain,(
% 0.11/0.34 distinct_lines(orthogonal_through_point(sk0_2,sk0_1),orthogonal_through_point(sk0_2,sk0_0))),
% 0.11/0.34 inference(resolution,[status(thm)],[f102,f24])).
% 0.11/0.34 fof(f117,plain,(
% 0.11/0.34 spl0_4 <=> apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f118,plain,(
% 0.11/0.34 apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))|~spl0_4),
% 0.11/0.34 inference(component_clause,[status(thm)],[f117])).
% 0.11/0.34 fof(f150,plain,(
% 0.11/0.34 $false|~spl0_4),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f118,f72])).
% 0.11/0.34 fof(f151,plain,(
% 0.11/0.34 ~spl0_4),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f150])).
% 0.11/0.34 fof(f177,plain,(
% 0.11/0.34 spl0_11 <=> unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_1),X1)|unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),X1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f178,plain,(
% 0.11/0.34 ![X0]: (unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_1),X0)|unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),X0)|~spl0_11)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f177])).
% 0.11/0.34 fof(f180,plain,(
% 0.11/0.34 ![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))),
% 0.11/0.34 inference(resolution,[status(thm)],[f69,f106])).
% 0.11/0.34 fof(f181,plain,(
% 0.11/0.34 spl0_0|spl0_11),
% 0.11/0.34 inference(split_clause,[status(thm)],[f180,f78,f177])).
% 0.11/0.34 fof(f197,plain,(
% 0.11/0.34 apart_point_and_line(sk0_1,orthogonal_through_point(sk0_2,sk0_0))|~spl0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f79,f66])).
% 0.11/0.34 fof(f198,plain,(
% 0.11/0.34 spl0_4|~spl0_0),
% 0.11/0.34 inference(split_clause,[status(thm)],[f197,f117,f78])).
% 0.11/0.34 fof(f205,plain,(
% 0.11/0.34 unorthogonal_lines(orthogonal_through_point(sk0_2,sk0_0),sk0_2)|~spl0_11),
% 0.11/0.34 inference(resolution,[status(thm)],[f178,f65])).
% 0.11/0.34 fof(f206,plain,(
% 0.11/0.34 $false|~spl0_11),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f205,f65])).
% 0.11/0.34 fof(f207,plain,(
% 0.11/0.34 ~spl0_11),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f206])).
% 0.11/0.34 fof(f208,plain,(
% 0.11/0.34 $false),
% 0.11/0.34 inference(sat_refutation,[status(thm)],[f151,f181,f198,f207])).
% 0.11/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.34 % Elapsed time: 0.022563 seconds
% 0.11/0.34 % CPU time: 0.088247 seconds
% 0.11/0.34 % Total memory used: 4.474 MB
% 0.11/0.34 % Net memory used: 4.348 MB
%------------------------------------------------------------------------------