TSTP Solution File: GEO197+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO197+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:08:13 EDT 2023
% Result : Theorem 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO197+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n016.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue May 30 12:30:29 EDT 2023
% 0.08/0.32 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.33 % Refutation found
% 0.14/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.33 fof(f1,axiom,(
% 0.14/0.33 (! [X] : ~ distinct_points(X,X) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f8,axiom,(
% 0.14/0.33 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f9,axiom,(
% 0.14/0.33 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f10,axiom,(
% 0.14/0.33 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f12,axiom,(
% 0.14/0.33 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f13,conjecture,(
% 0.14/0.33 (! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(Z,Y)& convergent_lines(X,Z)& ~ apart_point_and_line(intersection_point(X,Y),Z) )=> ~ apart_point_and_line(intersection_point(Z,Y),X) ) )),
% 0.14/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f14,negated_conjecture,(
% 0.14/0.33 ~((! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(Z,Y)& convergent_lines(X,Z)& ~ apart_point_and_line(intersection_point(X,Y),Z) )=> ~ apart_point_and_line(intersection_point(Z,Y),X) ) ))),
% 0.14/0.33 inference(negated_conjecture,[status(cth)],[f13])).
% 0.14/0.33 fof(f15,plain,(
% 0.14/0.33 ![X0]: (~distinct_points(X0,X0))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.33 fof(f31,plain,(
% 0.14/0.33 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.14/0.33 fof(f32,plain,(
% 0.14/0.33 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 0.14/0.33 inference(miniscoping,[status(esa)],[f31])).
% 0.14/0.33 fof(f33,plain,(
% 0.14/0.33 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.33 fof(f34,plain,(
% 0.14/0.33 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.33 fof(f35,plain,(
% 0.14/0.33 ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.14/0.33 fof(f36,plain,(
% 0.14/0.33 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.33 fof(f37,plain,(
% 0.14/0.33 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.14/0.33 fof(f38,plain,(
% 0.14/0.33 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.14/0.33 inference(miniscoping,[status(esa)],[f37])).
% 0.14/0.33 fof(f39,plain,(
% 0.14/0.33 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f38])).
% 0.14/0.33 fof(f43,plain,(
% 0.14/0.33 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.14/0.33 fof(f44,plain,(
% 0.14/0.33 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f43])).
% 0.14/0.33 fof(f45,plain,(
% 0.14/0.33 (?[X,Y,Z]: ((((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))&~apart_point_and_line(intersection_point(X,Y),Z))&apart_point_and_line(intersection_point(Z,Y),X)))),
% 0.14/0.33 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.14/0.33 fof(f46,plain,(
% 0.14/0.33 ((((convergent_lines(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_1))&convergent_lines(sk0_0,sk0_2))&~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2))&apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_0))),
% 0.14/0.34 inference(skolemization,[status(esa)],[f45])).
% 0.14/0.34 fof(f47,plain,(
% 0.14/0.34 convergent_lines(sk0_0,sk0_1)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.34 fof(f48,plain,(
% 0.14/0.34 convergent_lines(sk0_2,sk0_1)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.34 fof(f50,plain,(
% 0.14/0.34 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.34 fof(f51,plain,(
% 0.14/0.34 apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_0)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.34 fof(f52,plain,(
% 0.14/0.34 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.14/0.34 inference(resolution,[status(thm)],[f15,f34])).
% 0.14/0.34 fof(f53,plain,(
% 0.14/0.34 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.14/0.34 inference(resolution,[status(thm)],[f15,f33])).
% 0.14/0.34 fof(f59,plain,(
% 0.14/0.34 ![X0]: (distinct_points(intersection_point(sk0_2,sk0_1),X0)|apart_point_and_line(X0,sk0_0))),
% 0.14/0.34 inference(resolution,[status(thm)],[f39,f51])).
% 0.14/0.34 fof(f63,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~distinct_lines(X0,X1)|apart_point_and_line(intersection_point(sk0_2,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_2,sk0_1),X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|apart_point_and_line(X2,sk0_0))),
% 0.14/0.34 inference(resolution,[status(thm)],[f36,f59])).
% 0.14/0.34 fof(f84,plain,(
% 0.14/0.34 ![X0,X1,X2]: (apart_point_and_line(intersection_point(sk0_2,sk0_1),X0)|apart_point_and_line(intersection_point(sk0_2,sk0_1),X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|apart_point_and_line(X2,sk0_0)|~convergent_lines(X0,X1))),
% 0.14/0.34 inference(resolution,[status(thm)],[f63,f44])).
% 0.14/0.34 fof(f85,plain,(
% 0.14/0.34 spl0_2 <=> apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_2)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f86,plain,(
% 0.14/0.34 apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_2)|~spl0_2),
% 0.14/0.34 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.34 fof(f88,plain,(
% 0.14/0.34 spl0_3 <=> apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f89,plain,(
% 0.14/0.34 apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_1)|~spl0_3),
% 0.14/0.34 inference(component_clause,[status(thm)],[f88])).
% 0.14/0.34 fof(f91,plain,(
% 0.14/0.34 spl0_4 <=> apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f92,plain,(
% 0.14/0.34 ![X0]: (apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0)|~spl0_4)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.34 fof(f94,plain,(
% 0.14/0.34 ![X0]: (apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_2)|apart_point_and_line(intersection_point(sk0_2,sk0_1),sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_0))),
% 0.14/0.34 inference(resolution,[status(thm)],[f84,f48])).
% 0.14/0.34 fof(f95,plain,(
% 0.14/0.34 spl0_2|spl0_3|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f94,f85,f88,f91])).
% 0.14/0.34 fof(f146,plain,(
% 0.14/0.34 ~convergent_lines(sk0_2,sk0_1)|~spl0_3),
% 0.14/0.34 inference(resolution,[status(thm)],[f89,f52])).
% 0.14/0.34 fof(f147,plain,(
% 0.14/0.34 $false|~spl0_3),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f146,f48])).
% 0.14/0.34 fof(f148,plain,(
% 0.14/0.34 ~spl0_3),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f147])).
% 0.14/0.34 fof(f149,plain,(
% 0.14/0.34 ~convergent_lines(sk0_2,sk0_1)|~spl0_2),
% 0.14/0.34 inference(resolution,[status(thm)],[f86,f53])).
% 0.14/0.34 fof(f150,plain,(
% 0.14/0.34 $false|~spl0_2),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f149,f48])).
% 0.14/0.34 fof(f151,plain,(
% 0.14/0.34 ~spl0_2),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f150])).
% 0.14/0.34 fof(f152,plain,(
% 0.14/0.34 ![X0]: (apart_point_and_line(intersection_point(sk0_0,X0),sk0_2)|apart_point_and_line(intersection_point(sk0_0,X0),sk0_1)|~convergent_lines(sk0_0,X0)|~spl0_4)),
% 0.14/0.34 inference(resolution,[status(thm)],[f92,f53])).
% 0.14/0.34 fof(f158,plain,(
% 0.14/0.34 spl0_11 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f159,plain,(
% 0.14/0.34 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|~spl0_11),
% 0.14/0.34 inference(component_clause,[status(thm)],[f158])).
% 0.14/0.34 fof(f161,plain,(
% 0.14/0.34 spl0_12 <=> convergent_lines(sk0_0,sk0_1)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f163,plain,(
% 0.14/0.34 ~convergent_lines(sk0_0,sk0_1)|spl0_12),
% 0.14/0.34 inference(component_clause,[status(thm)],[f161])).
% 0.14/0.34 fof(f164,plain,(
% 0.14/0.34 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|~convergent_lines(sk0_0,sk0_1)|~convergent_lines(sk0_0,sk0_1)|~spl0_4),
% 0.14/0.34 inference(resolution,[status(thm)],[f152,f52])).
% 0.14/0.34 fof(f165,plain,(
% 0.14/0.34 spl0_11|~spl0_12|~spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f164,f158,f161,f91])).
% 0.14/0.34 fof(f170,plain,(
% 0.14/0.34 $false|spl0_12),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f163,f47])).
% 0.14/0.34 fof(f171,plain,(
% 0.14/0.34 spl0_12),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f170])).
% 0.14/0.34 fof(f172,plain,(
% 0.14/0.34 $false|~spl0_11),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f159,f50])).
% 0.14/0.34 fof(f173,plain,(
% 0.14/0.34 ~spl0_11),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f172])).
% 0.14/0.34 fof(f174,plain,(
% 0.14/0.34 $false),
% 0.14/0.34 inference(sat_refutation,[status(thm)],[f95,f148,f151,f165,f171,f173])).
% 0.14/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.56 % Elapsed time: 0.023388 seconds
% 0.14/0.56 % CPU time: 0.026053 seconds
% 0.14/0.56 % Memory used: 648.710 KB
%------------------------------------------------------------------------------