TSTP Solution File: GEO191+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO191+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:08:10 EDT 2023
% Result : Theorem 0.11s 0.32s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO191+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n024.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 12:00:03 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.11/0.32 % Refutation found
% 0.11/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.32 fof(f1,axiom,(
% 0.11/0.32 (! [X] : ~ distinct_points(X,X) )),
% 0.11/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.32 fof(f8,axiom,(
% 0.11/0.32 (! [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)) ) ) )),
% 0.11/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.32 fof(f9,axiom,(
% 0.11/0.32 (! [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) ) ) )),
% 0.11/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.32 fof(f12,axiom,(
% 0.11/0.32 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.11/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.32 fof(f13,conjecture,(
% 0.11/0.32 (! [X,Y,U,V] :( ( convergent_lines(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(intersection_point(X,Y),U)| apart_point_and_line(intersection_point(X,Y),V) ) )=> ( apart_point_and_line(intersection_point(U,V),X)| apart_point_and_line(intersection_point(U,V),Y) ) ) )),
% 0.11/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.32 fof(f14,negated_conjecture,(
% 0.11/0.32 ~((! [X,Y,U,V] :( ( convergent_lines(X,Y)& convergent_lines(U,V)& ( apart_point_and_line(intersection_point(X,Y),U)| apart_point_and_line(intersection_point(X,Y),V) ) )=> ( apart_point_and_line(intersection_point(U,V),X)| apart_point_and_line(intersection_point(U,V),Y) ) ) ))),
% 0.11/0.32 inference(negated_conjecture,[status(cth)],[f13])).
% 0.11/0.32 fof(f15,plain,(
% 0.11/0.32 ![X0]: (~distinct_points(X0,X0))),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.32 fof(f31,plain,(
% 0.11/0.32 ![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))))),
% 0.11/0.32 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.32 fof(f32,plain,(
% 0.11/0.32 ![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)))))),
% 0.11/0.32 inference(miniscoping,[status(esa)],[f31])).
% 0.11/0.32 fof(f33,plain,(
% 0.11/0.32 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.32 fof(f34,plain,(
% 0.11/0.32 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.32 fof(f35,plain,(
% 0.11/0.32 ![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)))),
% 0.11/0.32 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.11/0.32 fof(f36,plain,(
% 0.11/0.32 ![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))),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f35])).
% 0.11/0.32 fof(f43,plain,(
% 0.11/0.32 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.11/0.32 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.11/0.32 fof(f44,plain,(
% 0.11/0.32 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f43])).
% 0.11/0.32 fof(f45,plain,(
% 0.11/0.32 (?[X,Y,U,V]: (((convergent_lines(X,Y)&convergent_lines(U,V))&(apart_point_and_line(intersection_point(X,Y),U)|apart_point_and_line(intersection_point(X,Y),V)))&(~apart_point_and_line(intersection_point(U,V),X)&~apart_point_and_line(intersection_point(U,V),Y))))),
% 0.11/0.32 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.11/0.32 fof(f46,plain,(
% 0.11/0.32 (((convergent_lines(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_3))&(apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)))&(~apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)&~apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)))),
% 0.11/0.32 inference(skolemization,[status(esa)],[f45])).
% 0.11/0.32 fof(f47,plain,(
% 0.11/0.32 convergent_lines(sk0_0,sk0_1)),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.32 fof(f48,plain,(
% 0.11/0.32 convergent_lines(sk0_2,sk0_3)),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.32 fof(f49,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.32 fof(f50,plain,(
% 0.11/0.32 ~apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.32 fof(f51,plain,(
% 0.11/0.32 ~apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)),
% 0.11/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.32 fof(f52,plain,(
% 0.11/0.32 spl0_0 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f53,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|~spl0_0),
% 0.11/0.32 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.32 fof(f55,plain,(
% 0.11/0.32 spl0_1 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f56,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)|~spl0_1),
% 0.11/0.32 inference(component_clause,[status(thm)],[f55])).
% 0.11/0.32 fof(f58,plain,(
% 0.11/0.32 spl0_0|spl0_1),
% 0.11/0.32 inference(split_clause,[status(thm)],[f49,f52,f55])).
% 0.11/0.32 fof(f59,plain,(
% 0.11/0.32 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.11/0.32 inference(resolution,[status(thm)],[f15,f34])).
% 0.11/0.32 fof(f60,plain,(
% 0.11/0.32 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.11/0.32 inference(resolution,[status(thm)],[f15,f33])).
% 0.11/0.32 fof(f63,plain,(
% 0.11/0.32 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3)|~convergent_lines(X2,X3))),
% 0.11/0.32 inference(resolution,[status(thm)],[f36,f44])).
% 0.11/0.32 fof(f65,plain,(
% 0.11/0.32 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X1,sk0_0)|apart_point_and_line(X1,sk0_1))),
% 0.11/0.32 inference(resolution,[status(thm)],[f63,f47])).
% 0.11/0.32 fof(f70,plain,(
% 0.11/0.32 ![X0,X1,X2]: (apart_point_and_line(X0,sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(intersection_point(X1,X2),sk0_0)|apart_point_and_line(intersection_point(X1,X2),sk0_1)|~convergent_lines(X1,X2)|~apart_point_and_line(X0,X2))),
% 0.11/0.32 inference(resolution,[status(thm)],[f65,f34])).
% 0.11/0.32 fof(f71,plain,(
% 0.11/0.32 ![X0,X1,X2]: (apart_point_and_line(X0,sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(intersection_point(X1,X2),sk0_0)|apart_point_and_line(intersection_point(X1,X2),sk0_1)|~convergent_lines(X1,X2)|~apart_point_and_line(X0,X1))),
% 0.11/0.32 inference(resolution,[status(thm)],[f65,f33])).
% 0.11/0.32 fof(f127,plain,(
% 0.11/0.32 spl0_9 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f128,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_9),
% 0.11/0.32 inference(component_clause,[status(thm)],[f127])).
% 0.11/0.32 fof(f130,plain,(
% 0.11/0.32 spl0_10 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f131,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_10),
% 0.11/0.32 inference(component_clause,[status(thm)],[f130])).
% 0.11/0.32 fof(f133,plain,(
% 0.11/0.32 spl0_11 <=> apart_point_and_line(intersection_point(sk0_2,X0),sk0_0)|apart_point_and_line(intersection_point(sk0_2,X0),sk0_1)|~convergent_lines(sk0_2,X0)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f134,plain,(
% 0.11/0.32 ![X0]: (apart_point_and_line(intersection_point(sk0_2,X0),sk0_0)|apart_point_and_line(intersection_point(sk0_2,X0),sk0_1)|~convergent_lines(sk0_2,X0)|~spl0_11)),
% 0.11/0.32 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.32 fof(f136,plain,(
% 0.11/0.32 ![X0]: (apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|apart_point_and_line(intersection_point(sk0_2,X0),sk0_0)|apart_point_and_line(intersection_point(sk0_2,X0),sk0_1)|~convergent_lines(sk0_2,X0)|~spl0_0)),
% 0.11/0.32 inference(resolution,[status(thm)],[f53,f71])).
% 0.11/0.32 fof(f137,plain,(
% 0.11/0.32 spl0_9|spl0_10|spl0_11|~spl0_0),
% 0.11/0.32 inference(split_clause,[status(thm)],[f136,f127,f130,f133,f52])).
% 0.11/0.32 fof(f155,plain,(
% 0.11/0.32 ~convergent_lines(sk0_0,sk0_1)|~spl0_10),
% 0.11/0.32 inference(resolution,[status(thm)],[f131,f59])).
% 0.11/0.32 fof(f156,plain,(
% 0.11/0.32 $false|~spl0_10),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f155,f47])).
% 0.11/0.32 fof(f157,plain,(
% 0.11/0.32 ~spl0_10),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f156])).
% 0.11/0.32 fof(f158,plain,(
% 0.11/0.32 ~convergent_lines(sk0_0,sk0_1)|~spl0_9),
% 0.11/0.32 inference(resolution,[status(thm)],[f128,f60])).
% 0.11/0.32 fof(f159,plain,(
% 0.11/0.32 $false|~spl0_9),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f158,f47])).
% 0.11/0.32 fof(f160,plain,(
% 0.11/0.32 ~spl0_9),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f159])).
% 0.11/0.32 fof(f166,plain,(
% 0.11/0.32 spl0_16 <=> apart_point_and_line(intersection_point(X0,sk0_3),sk0_0)|apart_point_and_line(intersection_point(X0,sk0_3),sk0_1)|~convergent_lines(X0,sk0_3)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f167,plain,(
% 0.11/0.32 ![X0]: (apart_point_and_line(intersection_point(X0,sk0_3),sk0_0)|apart_point_and_line(intersection_point(X0,sk0_3),sk0_1)|~convergent_lines(X0,sk0_3)|~spl0_16)),
% 0.11/0.32 inference(component_clause,[status(thm)],[f166])).
% 0.11/0.32 fof(f169,plain,(
% 0.11/0.32 ![X0]: (apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|apart_point_and_line(intersection_point(X0,sk0_3),sk0_0)|apart_point_and_line(intersection_point(X0,sk0_3),sk0_1)|~convergent_lines(X0,sk0_3)|~spl0_1)),
% 0.11/0.32 inference(resolution,[status(thm)],[f56,f70])).
% 0.11/0.32 fof(f170,plain,(
% 0.11/0.32 spl0_9|spl0_10|spl0_16|~spl0_1),
% 0.11/0.32 inference(split_clause,[status(thm)],[f169,f127,f130,f166,f55])).
% 0.11/0.32 fof(f287,plain,(
% 0.11/0.32 spl0_26 <=> apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f288,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)|~spl0_26),
% 0.11/0.32 inference(component_clause,[status(thm)],[f287])).
% 0.11/0.32 fof(f290,plain,(
% 0.11/0.32 spl0_27 <=> apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f291,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)|~spl0_27),
% 0.11/0.32 inference(component_clause,[status(thm)],[f290])).
% 0.11/0.32 fof(f293,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)|apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)|~spl0_16),
% 0.11/0.32 inference(resolution,[status(thm)],[f167,f48])).
% 0.11/0.32 fof(f294,plain,(
% 0.11/0.32 spl0_26|spl0_27|~spl0_16),
% 0.11/0.32 inference(split_clause,[status(thm)],[f293,f287,f290,f166])).
% 0.11/0.32 fof(f297,plain,(
% 0.11/0.32 $false|~spl0_26),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f288,f50])).
% 0.11/0.32 fof(f298,plain,(
% 0.11/0.32 ~spl0_26),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f297])).
% 0.11/0.32 fof(f299,plain,(
% 0.11/0.32 $false|~spl0_27),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f291,f51])).
% 0.11/0.32 fof(f300,plain,(
% 0.11/0.32 ~spl0_27),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f299])).
% 0.11/0.32 fof(f323,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)|apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)|~spl0_11),
% 0.11/0.32 inference(resolution,[status(thm)],[f134,f48])).
% 0.11/0.32 fof(f324,plain,(
% 0.11/0.32 spl0_26|spl0_27|~spl0_11),
% 0.11/0.32 inference(split_clause,[status(thm)],[f323,f287,f290,f133])).
% 0.11/0.32 fof(f327,plain,(
% 0.11/0.32 $false),
% 0.11/0.32 inference(sat_refutation,[status(thm)],[f58,f137,f157,f160,f170,f294,f298,f300,f324])).
% 0.11/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.33 % Elapsed time: 0.061460 seconds
% 0.11/0.33 % CPU time: 0.424486 seconds
% 0.11/0.33 % Memory used: 6.706 MB
%------------------------------------------------------------------------------