TSTP Solution File: GEO199+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:08:14 EDT 2023
% Result : Theorem 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n005.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 11:58:06 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.27 fof(f1,axiom,(
% 0.06/0.27 (! [X] : ~ distinct_points(X,X) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f3,axiom,(
% 0.06/0.27 (! [X] : ~ convergent_lines(X,X) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f6,axiom,(
% 0.06/0.27 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f8,axiom,(
% 0.06/0.27 (! [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)) ) ) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f9,axiom,(
% 0.06/0.27 (! [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) ) ) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f10,axiom,(
% 0.06/0.27 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f12,axiom,(
% 0.06/0.27 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f13,conjecture,(
% 0.06/0.27 (! [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(Y,X),Z) ) )),
% 0.06/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f14,negated_conjecture,(
% 0.06/0.27 ~((! [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(Y,X),Z) ) ))),
% 0.06/0.27 inference(negated_conjecture,[status(cth)],[f13])).
% 0.06/0.27 fof(f15,plain,(
% 0.06/0.27 ![X0]: (~distinct_points(X0,X0))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f1])).
% 0.06/0.27 fof(f17,plain,(
% 0.06/0.27 ![X0]: (~convergent_lines(X0,X0))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f3])).
% 0.06/0.27 fof(f24,plain,(
% 0.06/0.27 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.06/0.27 fof(f25,plain,(
% 0.06/0.27 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.06/0.27 inference(miniscoping,[status(esa)],[f24])).
% 0.06/0.27 fof(f26,plain,(
% 0.06/0.27 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f25])).
% 0.06/0.27 fof(f31,plain,(
% 0.06/0.27 ![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))))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.06/0.27 fof(f32,plain,(
% 0.06/0.27 ![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)))))),
% 0.06/0.27 inference(miniscoping,[status(esa)],[f31])).
% 0.06/0.27 fof(f33,plain,(
% 0.06/0.27 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f32])).
% 0.06/0.27 fof(f34,plain,(
% 0.06/0.27 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f32])).
% 0.06/0.27 fof(f35,plain,(
% 0.06/0.27 ![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)))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.06/0.27 fof(f36,plain,(
% 0.06/0.27 ![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))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f35])).
% 0.06/0.27 fof(f37,plain,(
% 0.06/0.27 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.06/0.27 fof(f38,plain,(
% 0.06/0.27 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.06/0.27 inference(miniscoping,[status(esa)],[f37])).
% 0.06/0.27 fof(f39,plain,(
% 0.06/0.27 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f38])).
% 0.06/0.27 fof(f43,plain,(
% 0.06/0.27 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.06/0.27 fof(f44,plain,(
% 0.06/0.27 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f43])).
% 0.06/0.27 fof(f45,plain,(
% 0.06/0.27 (?[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(Y,X),Z)))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.06/0.27 fof(f46,plain,(
% 0.06/0.27 ((((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_1,sk0_0),sk0_2))),
% 0.06/0.27 inference(skolemization,[status(esa)],[f45])).
% 0.06/0.27 fof(f47,plain,(
% 0.06/0.27 convergent_lines(sk0_0,sk0_1)),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f46])).
% 0.06/0.27 fof(f50,plain,(
% 0.06/0.27 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f46])).
% 0.06/0.27 fof(f51,plain,(
% 0.06/0.27 apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_2)),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f46])).
% 0.06/0.27 fof(f52,plain,(
% 0.06/0.27 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.06/0.27 inference(resolution,[status(thm)],[f15,f34])).
% 0.06/0.27 fof(f53,plain,(
% 0.06/0.27 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.06/0.27 inference(resolution,[status(thm)],[f15,f33])).
% 0.06/0.27 fof(f59,plain,(
% 0.06/0.27 ![X0]: (distinct_points(intersection_point(sk0_1,sk0_0),X0)|apart_point_and_line(X0,sk0_2))),
% 0.06/0.27 inference(resolution,[status(thm)],[f39,f51])).
% 0.06/0.27 fof(f63,plain,(
% 0.06/0.27 ![X0,X1,X2]: (~distinct_lines(X0,X1)|apart_point_and_line(intersection_point(sk0_1,sk0_0),X0)|apart_point_and_line(intersection_point(sk0_1,sk0_0),X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|apart_point_and_line(X2,sk0_2))),
% 0.06/0.27 inference(resolution,[status(thm)],[f36,f59])).
% 0.06/0.27 fof(f84,plain,(
% 0.06/0.27 ![X0,X1,X2]: (apart_point_and_line(intersection_point(sk0_1,sk0_0),X0)|apart_point_and_line(intersection_point(sk0_1,sk0_0),X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|apart_point_and_line(X2,sk0_2)|~convergent_lines(X0,X1))),
% 0.06/0.27 inference(resolution,[status(thm)],[f63,f44])).
% 0.06/0.27 fof(f85,plain,(
% 0.06/0.27 spl0_2 <=> apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f86,plain,(
% 0.06/0.27 apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)|~spl0_2),
% 0.06/0.27 inference(component_clause,[status(thm)],[f85])).
% 0.06/0.27 fof(f93,plain,(
% 0.06/0.27 spl0_4 <=> apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f94,plain,(
% 0.06/0.27 apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)|~spl0_4),
% 0.06/0.27 inference(component_clause,[status(thm)],[f93])).
% 0.06/0.27 fof(f101,plain,(
% 0.06/0.27 spl0_6 <=> apart_point_and_line(X0,sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_2)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f102,plain,(
% 0.06/0.27 ![X0]: (apart_point_and_line(X0,sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|~spl0_6)),
% 0.06/0.27 inference(component_clause,[status(thm)],[f101])).
% 0.06/0.27 fof(f104,plain,(
% 0.06/0.27 ![X0]: (apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_0)|apart_point_and_line(intersection_point(sk0_1,sk0_0),sk0_1)|apart_point_and_line(X0,sk0_0)|apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,sk0_2))),
% 0.06/0.27 inference(resolution,[status(thm)],[f84,f47])).
% 0.06/0.27 fof(f105,plain,(
% 0.06/0.27 spl0_4|spl0_2|spl0_6),
% 0.06/0.27 inference(split_clause,[status(thm)],[f104,f93,f85,f101])).
% 0.06/0.27 fof(f157,plain,(
% 0.06/0.27 ~convergent_lines(sk0_1,sk0_0)|~spl0_2),
% 0.06/0.27 inference(resolution,[status(thm)],[f86,f53])).
% 0.06/0.27 fof(f167,plain,(
% 0.06/0.27 ![X0]: (~convergent_lines(X0,sk0_1)|convergent_lines(X0,sk0_0)|~spl0_2)),
% 0.06/0.27 inference(resolution,[status(thm)],[f157,f26])).
% 0.06/0.27 fof(f168,plain,(
% 0.06/0.27 ~convergent_lines(sk0_1,sk0_0)|~spl0_4),
% 0.06/0.27 inference(resolution,[status(thm)],[f94,f52])).
% 0.06/0.27 fof(f175,plain,(
% 0.06/0.27 ![X0]: (~convergent_lines(X0,sk0_1)|convergent_lines(X0,sk0_0)|~spl0_4)),
% 0.06/0.27 inference(resolution,[status(thm)],[f168,f26])).
% 0.06/0.27 fof(f177,plain,(
% 0.06/0.27 convergent_lines(sk0_0,sk0_0)|~spl0_4),
% 0.06/0.27 inference(resolution,[status(thm)],[f175,f47])).
% 0.06/0.27 fof(f178,plain,(
% 0.06/0.27 $false|~spl0_4),
% 0.06/0.27 inference(forward_subsumption_resolution,[status(thm)],[f177,f17])).
% 0.06/0.27 fof(f179,plain,(
% 0.06/0.27 ~spl0_4),
% 0.06/0.27 inference(contradiction_clause,[status(thm)],[f178])).
% 0.06/0.27 fof(f189,plain,(
% 0.06/0.27 convergent_lines(sk0_0,sk0_0)|~spl0_2),
% 0.06/0.27 inference(resolution,[status(thm)],[f167,f47])).
% 0.06/0.27 fof(f190,plain,(
% 0.06/0.27 $false|~spl0_2),
% 0.06/0.27 inference(forward_subsumption_resolution,[status(thm)],[f189,f17])).
% 0.06/0.27 fof(f191,plain,(
% 0.06/0.27 ~spl0_2),
% 0.06/0.27 inference(contradiction_clause,[status(thm)],[f190])).
% 0.06/0.27 fof(f200,plain,(
% 0.06/0.27 spl0_13 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f201,plain,(
% 0.06/0.27 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_13),
% 0.06/0.27 inference(component_clause,[status(thm)],[f200])).
% 0.06/0.27 fof(f203,plain,(
% 0.06/0.27 spl0_14 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f204,plain,(
% 0.06/0.27 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_14),
% 0.06/0.27 inference(component_clause,[status(thm)],[f203])).
% 0.06/0.27 fof(f206,plain,(
% 0.06/0.27 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_1)|~spl0_6),
% 0.06/0.27 inference(resolution,[status(thm)],[f102,f50])).
% 0.06/0.27 fof(f207,plain,(
% 0.06/0.27 spl0_13|spl0_14|~spl0_6),
% 0.06/0.27 inference(split_clause,[status(thm)],[f206,f200,f203,f101])).
% 0.06/0.27 fof(f214,plain,(
% 0.06/0.27 ~convergent_lines(sk0_0,sk0_1)|~spl0_13),
% 0.06/0.27 inference(resolution,[status(thm)],[f201,f53])).
% 0.06/0.27 fof(f215,plain,(
% 0.06/0.27 $false|~spl0_13),
% 0.06/0.27 inference(forward_subsumption_resolution,[status(thm)],[f214,f47])).
% 0.06/0.27 fof(f216,plain,(
% 0.06/0.27 ~spl0_13),
% 0.06/0.27 inference(contradiction_clause,[status(thm)],[f215])).
% 0.06/0.27 fof(f217,plain,(
% 0.06/0.27 ~convergent_lines(sk0_0,sk0_1)|~spl0_14),
% 0.06/0.27 inference(resolution,[status(thm)],[f204,f52])).
% 0.06/0.27 fof(f218,plain,(
% 0.06/0.27 $false|~spl0_14),
% 0.06/0.27 inference(forward_subsumption_resolution,[status(thm)],[f217,f47])).
% 0.06/0.27 fof(f219,plain,(
% 0.06/0.27 ~spl0_14),
% 0.06/0.27 inference(contradiction_clause,[status(thm)],[f218])).
% 0.06/0.27 fof(f220,plain,(
% 0.06/0.27 $false),
% 0.06/0.27 inference(sat_refutation,[status(thm)],[f105,f179,f191,f207,f216,f219])).
% 0.06/0.27 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.49 % Elapsed time: 0.014430 seconds
% 0.10/0.49 % CPU time: 0.067471 seconds
% 0.10/0.49 % Memory used: 2.496 MB
%------------------------------------------------------------------------------