TSTP Solution File: GEO196+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 0.11s 0.31s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n007.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 11:49:01 EDT 2023
% 0.06/0.27 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.11/0.31 % Refutation found
% 0.11/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.31 fof(f1,axiom,(
% 0.11/0.31 (! [X] : ~ distinct_points(X,X) )),
% 0.11/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.31 fof(f8,axiom,(
% 0.11/0.31 (! [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)) ) ) )),
% 0.11/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.31 fof(f9,axiom,(
% 0.11/0.31 (! [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) ) ) )),
% 0.11/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.31 fof(f12,axiom,(
% 0.11/0.31 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.11/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.31 fof(f13,conjecture,(
% 0.11/0.31 (! [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) ) ) )),
% 0.11/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.31 fof(f14,negated_conjecture,(
% 0.11/0.31 ~((! [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) ) ) ))),
% 0.11/0.31 inference(negated_conjecture,[status(cth)],[f13])).
% 0.11/0.31 fof(f15,plain,(
% 0.11/0.31 ![X0]: (~distinct_points(X0,X0))),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.31 fof(f31,plain,(
% 0.11/0.31 ![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))))),
% 0.11/0.31 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.31 fof(f32,plain,(
% 0.11/0.31 ![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)))))),
% 0.11/0.31 inference(miniscoping,[status(esa)],[f31])).
% 0.11/0.31 fof(f33,plain,(
% 0.11/0.31 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.31 fof(f34,plain,(
% 0.11/0.31 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.31 fof(f35,plain,(
% 0.11/0.31 ![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)))),
% 0.11/0.31 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.11/0.31 fof(f36,plain,(
% 0.11/0.31 ![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))),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f35])).
% 0.11/0.31 fof(f43,plain,(
% 0.11/0.31 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.11/0.31 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.11/0.31 fof(f44,plain,(
% 0.11/0.31 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f43])).
% 0.11/0.31 fof(f45,plain,(
% 0.11/0.31 (?[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))))),
% 0.11/0.31 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.11/0.31 fof(f46,plain,(
% 0.11/0.31 ((((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)))),
% 0.11/0.31 inference(skolemization,[status(esa)],[f45])).
% 0.11/0.31 fof(f47,plain,(
% 0.11/0.31 convergent_lines(sk0_0,sk0_1)),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.31 fof(f48,plain,(
% 0.11/0.31 convergent_lines(sk0_2,sk0_3)),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.31 fof(f49,plain,(
% 0.11/0.31 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.31 fof(f50,plain,(
% 0.11/0.31 ~apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.31 fof(f51,plain,(
% 0.11/0.31 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)|apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)),
% 0.11/0.31 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.31 fof(f52,plain,(
% 0.11/0.31 spl0_0 <=> apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)),
% 0.11/0.31 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f53,plain,(
% 0.11/0.31 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_0)|~spl0_0),
% 0.11/0.31 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.31 fof(f55,plain,(
% 0.11/0.31 spl0_1 <=> apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)),
% 0.11/0.31 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f56,plain,(
% 0.11/0.31 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_1)|~spl0_1),
% 0.11/0.31 inference(component_clause,[status(thm)],[f55])).
% 0.11/0.31 fof(f58,plain,(
% 0.11/0.31 spl0_0|spl0_1),
% 0.11/0.31 inference(split_clause,[status(thm)],[f51,f52,f55])).
% 0.11/0.31 fof(f59,plain,(
% 0.11/0.31 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.11/0.31 inference(resolution,[status(thm)],[f15,f34])).
% 0.11/0.31 fof(f60,plain,(
% 0.11/0.31 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.11/0.31 inference(resolution,[status(thm)],[f15,f33])).
% 0.11/0.31 fof(f63,plain,(
% 0.11/0.31 ![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))),
% 0.11/0.31 inference(resolution,[status(thm)],[f36,f44])).
% 0.11/0.31 fof(f64,plain,(
% 0.11/0.31 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_3)|apart_point_and_line(X1,sk0_2)|apart_point_and_line(X1,sk0_3))),
% 0.11/0.31 inference(resolution,[status(thm)],[f63,f48])).
% 0.11/0.31 fof(f67,plain,(
% 0.11/0.31 ![X0,X1,X2]: (apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_3)|apart_point_and_line(intersection_point(X1,X2),sk0_2)|apart_point_and_line(intersection_point(X1,X2),sk0_3)|~convergent_lines(X1,X2)|~apart_point_and_line(X0,X2))),
% 0.11/0.31 inference(resolution,[status(thm)],[f64,f34])).
% 0.11/0.31 fof(f68,plain,(
% 0.11/0.31 ![X0,X1,X2]: (apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_3)|apart_point_and_line(intersection_point(X1,X2),sk0_2)|apart_point_and_line(intersection_point(X1,X2),sk0_3)|~convergent_lines(X1,X2)|~apart_point_and_line(X0,X1))),
% 0.11/0.31 inference(resolution,[status(thm)],[f64,f33])).
% 0.11/0.31 fof(f137,plain,(
% 0.11/0.31 spl0_11 <=> apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_2)),
% 0.11/0.31 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f138,plain,(
% 0.11/0.31 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_2)|~spl0_11),
% 0.11/0.31 inference(component_clause,[status(thm)],[f137])).
% 0.11/0.31 fof(f140,plain,(
% 0.11/0.31 spl0_12 <=> apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_3)),
% 0.11/0.31 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f141,plain,(
% 0.11/0.31 apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_3)|~spl0_12),
% 0.11/0.31 inference(component_clause,[status(thm)],[f140])).
% 0.11/0.31 fof(f143,plain,(
% 0.11/0.31 spl0_13 <=> apart_point_and_line(intersection_point(sk0_0,X0),sk0_2)|apart_point_and_line(intersection_point(sk0_0,X0),sk0_3)|~convergent_lines(sk0_0,X0)),
% 0.11/0.31 introduced(split_symbol_definition)).
% 0.11/0.31 fof(f144,plain,(
% 0.11/0.31 ![X0]: (apart_point_and_line(intersection_point(sk0_0,X0),sk0_2)|apart_point_and_line(intersection_point(sk0_0,X0),sk0_3)|~convergent_lines(sk0_0,X0)|~spl0_13)),
% 0.11/0.31 inference(component_clause,[status(thm)],[f143])).
% 0.11/0.31 fof(f146,plain,(
% 0.11/0.31 ![X0]: (apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_2)|apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_3)|apart_point_and_line(intersection_point(sk0_0,X0),sk0_2)|apart_point_and_line(intersection_point(sk0_0,X0),sk0_3)|~convergent_lines(sk0_0,X0)|~spl0_0)),
% 0.11/0.31 inference(resolution,[status(thm)],[f53,f68])).
% 0.11/0.31 fof(f147,plain,(
% 0.11/0.31 spl0_11|spl0_12|spl0_13|~spl0_0),
% 0.11/0.31 inference(split_clause,[status(thm)],[f146,f137,f140,f143,f52])).
% 0.11/0.31 fof(f155,plain,(
% 0.11/0.32 ~convergent_lines(sk0_2,sk0_3)|~spl0_12),
% 0.11/0.32 inference(resolution,[status(thm)],[f141,f59])).
% 0.11/0.32 fof(f156,plain,(
% 0.11/0.32 $false|~spl0_12),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f155,f48])).
% 0.11/0.32 fof(f157,plain,(
% 0.11/0.32 ~spl0_12),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f156])).
% 0.11/0.32 fof(f158,plain,(
% 0.11/0.32 ~convergent_lines(sk0_2,sk0_3)|~spl0_11),
% 0.11/0.32 inference(resolution,[status(thm)],[f138,f60])).
% 0.11/0.32 fof(f159,plain,(
% 0.11/0.32 $false|~spl0_11),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f158,f48])).
% 0.11/0.32 fof(f160,plain,(
% 0.11/0.32 ~spl0_11),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f159])).
% 0.11/0.32 fof(f176,plain,(
% 0.11/0.32 spl0_18 <=> apart_point_and_line(intersection_point(X0,sk0_1),sk0_2)|apart_point_and_line(intersection_point(X0,sk0_1),sk0_3)|~convergent_lines(X0,sk0_1)),
% 0.11/0.32 introduced(split_symbol_definition)).
% 0.11/0.32 fof(f177,plain,(
% 0.11/0.32 ![X0]: (apart_point_and_line(intersection_point(X0,sk0_1),sk0_2)|apart_point_and_line(intersection_point(X0,sk0_1),sk0_3)|~convergent_lines(X0,sk0_1)|~spl0_18)),
% 0.11/0.32 inference(component_clause,[status(thm)],[f176])).
% 0.11/0.32 fof(f179,plain,(
% 0.11/0.32 ![X0]: (apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_2)|apart_point_and_line(intersection_point(sk0_2,sk0_3),sk0_3)|apart_point_and_line(intersection_point(X0,sk0_1),sk0_2)|apart_point_and_line(intersection_point(X0,sk0_1),sk0_3)|~convergent_lines(X0,sk0_1)|~spl0_1)),
% 0.11/0.32 inference(resolution,[status(thm)],[f56,f67])).
% 0.11/0.32 fof(f180,plain,(
% 0.11/0.32 spl0_11|spl0_12|spl0_18|~spl0_1),
% 0.11/0.32 inference(split_clause,[status(thm)],[f179,f137,f140,f176,f55])).
% 0.11/0.32 fof(f228,plain,(
% 0.11/0.32 spl0_22 <=> 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(f229,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)|~spl0_22),
% 0.11/0.32 inference(component_clause,[status(thm)],[f228])).
% 0.11/0.32 fof(f231,plain,(
% 0.11/0.32 spl0_23 <=> 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(f232,plain,(
% 0.11/0.32 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_3)|~spl0_23),
% 0.11/0.32 inference(component_clause,[status(thm)],[f231])).
% 0.11/0.32 fof(f234,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)|~spl0_18),
% 0.11/0.32 inference(resolution,[status(thm)],[f177,f47])).
% 0.11/0.32 fof(f235,plain,(
% 0.11/0.32 spl0_22|spl0_23|~spl0_18),
% 0.11/0.32 inference(split_clause,[status(thm)],[f234,f228,f231,f176])).
% 0.11/0.32 fof(f238,plain,(
% 0.11/0.32 $false|~spl0_22),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f229,f49])).
% 0.11/0.32 fof(f239,plain,(
% 0.11/0.32 ~spl0_22),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f238])).
% 0.11/0.32 fof(f240,plain,(
% 0.11/0.32 $false|~spl0_23),
% 0.11/0.32 inference(forward_subsumption_resolution,[status(thm)],[f232,f50])).
% 0.11/0.32 fof(f241,plain,(
% 0.11/0.32 ~spl0_23),
% 0.11/0.32 inference(contradiction_clause,[status(thm)],[f240])).
% 0.11/0.32 fof(f273,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)|~spl0_13),
% 0.11/0.32 inference(resolution,[status(thm)],[f144,f47])).
% 0.11/0.32 fof(f274,plain,(
% 0.11/0.32 spl0_22|spl0_23|~spl0_13),
% 0.11/0.32 inference(split_clause,[status(thm)],[f273,f228,f231,f143])).
% 0.11/0.32 fof(f277,plain,(
% 0.11/0.32 $false),
% 0.11/0.32 inference(sat_refutation,[status(thm)],[f58,f147,f157,f160,f180,f235,f239,f241,f274])).
% 0.11/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.32 % Elapsed time: 0.054909 seconds
% 0.11/0.32 % CPU time: 0.365458 seconds
% 0.11/0.32 % Memory used: 5.887 MB
%------------------------------------------------------------------------------