TSTP Solution File: GEO180+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO180+1 : 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 12:08:05 EDT 2023
% Result : Theorem 0.11s 0.28s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.01/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n007.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 11:49:01 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.11/0.28 % Refutation found
% 0.11/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.28 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.28 fof(f1,axiom,(
% 0.11/0.28 (! [X] : ~ distinct_points(X,X) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f4,axiom,(
% 0.11/0.28 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f7,axiom,(
% 0.11/0.28 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f8,axiom,(
% 0.11/0.28 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f11,axiom,(
% 0.11/0.28 (! [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) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f12,axiom,(
% 0.11/0.28 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f13,axiom,(
% 0.11/0.28 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f15,conjecture,(
% 0.11/0.28 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(X,line_connecting(Z,Y)) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f16,negated_conjecture,(
% 0.11/0.28 ~((! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(X,line_connecting(Z,Y)) ) ) ))),
% 0.11/0.28 inference(negated_conjecture,[status(cth)],[f15])).
% 0.11/0.28 fof(f17,plain,(
% 0.11/0.28 ![X0]: (~distinct_points(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.28 fof(f20,plain,(
% 0.11/0.28 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.11/0.28 fof(f21,plain,(
% 0.11/0.28 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f20])).
% 0.11/0.28 fof(f22,plain,(
% 0.11/0.28 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f21])).
% 0.11/0.28 fof(f29,plain,(
% 0.11/0.28 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.11/0.28 fof(f30,plain,(
% 0.11/0.28 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f29])).
% 0.11/0.28 fof(f31,plain,(
% 0.11/0.28 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.28 fof(f32,plain,(
% 0.11/0.28 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.28 fof(f37,plain,(
% 0.11/0.28 ![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)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.11/0.28 fof(f38,plain,(
% 0.11/0.28 ![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))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.28 fof(f39,plain,(
% 0.11/0.28 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f40,plain,(
% 0.11/0.28 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f39])).
% 0.11/0.28 fof(f41,plain,(
% 0.11/0.28 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f40])).
% 0.11/0.28 fof(f42,plain,(
% 0.11/0.28 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.11/0.28 fof(f43,plain,(
% 0.11/0.28 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f42])).
% 0.11/0.28 fof(f44,plain,(
% 0.11/0.28 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f43])).
% 0.11/0.28 fof(f48,plain,(
% 0.11/0.28 (?[X,Y,Z]: (distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(X,line_connecting(Z,Y)))))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.11/0.28 fof(f49,plain,(
% 0.11/0.28 ?[X,Y]: (distinct_points(X,Y)&(?[Z]: (apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(X,line_connecting(Z,Y)))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f48])).
% 0.11/0.28 fof(f50,plain,(
% 0.11/0.28 (distinct_points(sk0_0,sk0_1)&(apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))&~apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_1))))),
% 0.11/0.28 inference(skolemization,[status(esa)],[f49])).
% 0.11/0.28 fof(f51,plain,(
% 0.11/0.28 distinct_points(sk0_0,sk0_1)),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.28 fof(f52,plain,(
% 0.11/0.28 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.28 fof(f53,plain,(
% 0.11/0.28 ~apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.28 fof(f55,plain,(
% 0.11/0.28 ![X0,X1]: (~distinct_points(X0,X1)|distinct_points(X1,X0))),
% 0.11/0.28 inference(resolution,[status(thm)],[f22,f17])).
% 0.11/0.28 fof(f57,plain,(
% 0.11/0.28 ![X0]: (distinct_points(sk0_2,X0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1)))),
% 0.11/0.28 inference(resolution,[status(thm)],[f41,f52])).
% 0.11/0.28 fof(f59,plain,(
% 0.11/0.28 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_1),X0)|apart_point_and_line(sk0_2,X0))),
% 0.11/0.28 inference(resolution,[status(thm)],[f44,f52])).
% 0.11/0.28 fof(f63,plain,(
% 0.11/0.28 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,X2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,X2)|apart_point_and_line(sk0_2,X2))),
% 0.11/0.28 inference(resolution,[status(thm)],[f38,f59])).
% 0.11/0.28 fof(f69,plain,(
% 0.11/0.28 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,X2))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,X2))|~distinct_points(sk0_2,X2))),
% 0.11/0.28 inference(resolution,[status(thm)],[f63,f30])).
% 0.11/0.28 fof(f85,plain,(
% 0.11/0.28 spl0_1 <=> distinct_points(sk0_0,sk0_1)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f87,plain,(
% 0.11/0.28 ~distinct_points(sk0_0,sk0_1)|spl0_1),
% 0.11/0.28 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.28 fof(f97,plain,(
% 0.11/0.28 $false|spl0_1),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f87,f51])).
% 0.11/0.28 fof(f98,plain,(
% 0.11/0.28 spl0_1),
% 0.11/0.28 inference(contradiction_clause,[status(thm)],[f97])).
% 0.11/0.28 fof(f102,plain,(
% 0.11/0.28 spl0_4 <=> distinct_points(sk0_1,sk0_2)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f104,plain,(
% 0.11/0.28 ~distinct_points(sk0_1,sk0_2)|spl0_4),
% 0.11/0.28 inference(component_clause,[status(thm)],[f102])).
% 0.11/0.28 fof(f109,plain,(
% 0.11/0.28 ~distinct_points(sk0_2,sk0_1)|spl0_4),
% 0.11/0.28 inference(resolution,[status(thm)],[f104,f55])).
% 0.11/0.28 fof(f116,plain,(
% 0.11/0.28 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|spl0_4),
% 0.11/0.28 inference(resolution,[status(thm)],[f109,f57])).
% 0.11/0.28 fof(f136,plain,(
% 0.11/0.28 spl0_5 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,X1))|apart_point_and_line(sk0_1,line_connecting(sk0_2,X1))|~distinct_points(sk0_2,X1)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f137,plain,(
% 0.11/0.28 ![X0,X1]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,X1))|apart_point_and_line(sk0_1,line_connecting(sk0_2,X1))|~distinct_points(sk0_2,X1)|~spl0_5)),
% 0.11/0.28 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.28 fof(f139,plain,(
% 0.11/0.28 ![X0,X1]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,X1))|apart_point_and_line(sk0_1,line_connecting(sk0_2,X1))|~distinct_points(sk0_2,X1)|~distinct_points(sk0_0,sk0_1))),
% 0.11/0.28 inference(resolution,[status(thm)],[f69,f32])).
% 0.11/0.28 fof(f140,plain,(
% 0.11/0.28 spl0_5|~spl0_1),
% 0.11/0.28 inference(split_clause,[status(thm)],[f139,f136,f85])).
% 0.11/0.28 fof(f150,plain,(
% 0.11/0.28 ~distinct_points(sk0_0,sk0_1)|spl0_4),
% 0.11/0.28 inference(resolution,[status(thm)],[f116,f32])).
% 0.11/0.28 fof(f151,plain,(
% 0.11/0.28 ~spl0_1|spl0_4),
% 0.11/0.28 inference(split_clause,[status(thm)],[f150,f85,f102])).
% 0.11/0.28 fof(f156,plain,(
% 0.11/0.28 spl0_7 <=> distinct_points(sk0_2,sk0_1)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f158,plain,(
% 0.11/0.28 ~distinct_points(sk0_2,sk0_1)|spl0_7),
% 0.11/0.28 inference(component_clause,[status(thm)],[f156])).
% 0.11/0.28 fof(f177,plain,(
% 0.11/0.28 ~distinct_points(sk0_1,sk0_2)|spl0_7),
% 0.11/0.28 inference(resolution,[status(thm)],[f158,f55])).
% 0.11/0.28 fof(f178,plain,(
% 0.11/0.28 ~spl0_4|spl0_7),
% 0.11/0.28 inference(split_clause,[status(thm)],[f177,f102,f156])).
% 0.11/0.28 fof(f196,plain,(
% 0.11/0.28 spl0_13 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f197,plain,(
% 0.11/0.28 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_13),
% 0.11/0.28 inference(component_clause,[status(thm)],[f196])).
% 0.11/0.28 fof(f217,plain,(
% 0.11/0.28 ~distinct_points(sk0_0,sk0_1)|~spl0_13),
% 0.11/0.28 inference(resolution,[status(thm)],[f197,f30])).
% 0.11/0.28 fof(f218,plain,(
% 0.11/0.28 ~spl0_1|~spl0_13),
% 0.11/0.28 inference(split_clause,[status(thm)],[f217,f85,f196])).
% 0.11/0.28 fof(f239,plain,(
% 0.11/0.28 spl0_17 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f240,plain,(
% 0.11/0.28 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))|~spl0_17)),
% 0.11/0.28 inference(component_clause,[status(thm)],[f239])).
% 0.11/0.28 fof(f242,plain,(
% 0.11/0.28 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))|~distinct_points(sk0_2,sk0_1)|~distinct_points(sk0_2,sk0_1)|~spl0_5)),
% 0.11/0.28 inference(resolution,[status(thm)],[f137,f32])).
% 0.11/0.28 fof(f243,plain,(
% 0.11/0.28 spl0_17|~spl0_7|~spl0_5),
% 0.11/0.28 inference(split_clause,[status(thm)],[f242,f239,f156,f136])).
% 0.11/0.28 fof(f248,plain,(
% 0.11/0.28 ~distinct_points(sk0_0,sk0_1)|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_17),
% 0.11/0.28 inference(resolution,[status(thm)],[f240,f53])).
% 0.11/0.28 fof(f249,plain,(
% 0.11/0.28 ~spl0_1|spl0_13|~spl0_17),
% 0.11/0.28 inference(split_clause,[status(thm)],[f248,f85,f196,f239])).
% 0.11/0.28 fof(f256,plain,(
% 0.11/0.28 $false),
% 0.11/0.28 inference(sat_refutation,[status(thm)],[f98,f140,f151,f178,f218,f243,f249])).
% 0.11/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.29 % Elapsed time: 0.023289 seconds
% 0.11/0.29 % CPU time: 0.077294 seconds
% 0.11/0.29 % Memory used: 2.309 MB
%------------------------------------------------------------------------------