TSTP Solution File: GEO189+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO189+1 : 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 : Tue Apr 30 20:17:24 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:30:26 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.39 fof(f7,axiom,(
% 0.20/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f8,axiom,(
% 0.20/0.39 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f11,axiom,(
% 0.20/0.39 (! [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) ) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f13,axiom,(
% 0.20/0.39 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f15,conjecture,(
% 0.20/0.39 (! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& distinct_points(Y,Z)& ~ apart_point_and_line(Z,line_connecting(X,Y)) )=> ~ apart_point_and_line(Y,line_connecting(X,Z)) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f16,negated_conjecture,(
% 0.20/0.39 ~((! [X,Y,Z] :( ( distinct_points(X,Y)& distinct_points(X,Z)& distinct_points(Y,Z)& ~ apart_point_and_line(Z,line_connecting(X,Y)) )=> ~ apart_point_and_line(Y,line_connecting(X,Z)) ) ))),
% 0.20/0.39 inference(negated_conjecture,[status(cth)],[f15])).
% 0.20/0.39 fof(f29,plain,(
% 0.20/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.39 fof(f30,plain,(
% 0.20/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.39 fof(f31,plain,(
% 0.20/0.39 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.39 fof(f32,plain,(
% 0.20/0.39 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.39 fof(f37,plain,(
% 0.20/0.39 ![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)))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.20/0.39 fof(f38,plain,(
% 0.20/0.39 ![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))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f37])).
% 0.20/0.39 fof(f42,plain,(
% 0.20/0.39 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.39 fof(f43,plain,(
% 0.20/0.39 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.20/0.39 inference(miniscoping,[status(esa)],[f42])).
% 0.20/0.39 fof(f44,plain,(
% 0.20/0.39 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f43])).
% 0.20/0.39 fof(f48,plain,(
% 0.20/0.39 (?[X,Y,Z]: ((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&~apart_point_and_line(Z,line_connecting(X,Y)))&apart_point_and_line(Y,line_connecting(X,Z))))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.20/0.39 fof(f49,plain,(
% 0.20/0.39 ((((distinct_points(sk0_0,sk0_1)&distinct_points(sk0_0,sk0_2))&distinct_points(sk0_1,sk0_2))&~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1)))&apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_2)))),
% 0.20/0.39 inference(skolemization,[status(esa)],[f48])).
% 0.20/0.39 fof(f50,plain,(
% 0.20/0.39 distinct_points(sk0_0,sk0_1)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.39 fof(f51,plain,(
% 0.20/0.39 distinct_points(sk0_0,sk0_2)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.39 fof(f53,plain,(
% 0.20/0.39 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.39 fof(f54,plain,(
% 0.20/0.39 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_2))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.39 fof(f57,plain,(
% 0.20/0.39 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_2),X0)|apart_point_and_line(sk0_1,X0))),
% 0.20/0.39 inference(resolution,[status(thm)],[f44,f54])).
% 0.20/0.39 fof(f62,plain,(
% 0.20/0.39 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,X2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,X2)|apart_point_and_line(sk0_1,X2))),
% 0.20/0.39 inference(resolution,[status(thm)],[f38,f57])).
% 0.20/0.39 fof(f67,plain,(
% 0.20/0.39 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(X2,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,line_connecting(X2,sk0_1))|~distinct_points(X2,sk0_1))),
% 0.20/0.39 inference(resolution,[status(thm)],[f62,f32])).
% 0.20/0.39 fof(f87,plain,(
% 0.20/0.39 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1)))),
% 0.20/0.39 inference(resolution,[status(thm)],[f67,f50])).
% 0.20/0.39 fof(f91,plain,(
% 0.20/0.39 spl0_3 <=> ~distinct_points(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f92,plain,(
% 0.20/0.39 ![X0]: (~distinct_points(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_3)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.20/0.39 fof(f94,plain,(
% 0.20/0.39 spl0_4 <=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f95,plain,(
% 0.20/0.39 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_4),
% 0.20/0.39 inference(component_clause,[status(thm)],[f94])).
% 0.20/0.39 fof(f97,plain,(
% 0.20/0.39 spl0_5 <=> distinct_points(sk0_0,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f99,plain,(
% 0.20/0.39 ~distinct_points(sk0_0,sk0_2)|spl0_5),
% 0.20/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.20/0.39 fof(f100,plain,(
% 0.20/0.39 ![X0]: (~distinct_points(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_2))),
% 0.20/0.39 inference(resolution,[status(thm)],[f87,f32])).
% 0.20/0.39 fof(f101,plain,(
% 0.20/0.39 spl0_3|spl0_4|~spl0_5),
% 0.20/0.39 inference(split_clause,[status(thm)],[f100,f91,f94,f97])).
% 0.20/0.39 fof(f105,plain,(
% 0.20/0.39 spl0_7 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f106,plain,(
% 0.20/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_7),
% 0.20/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.20/0.39 fof(f112,plain,(
% 0.20/0.39 $false|spl0_5),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f99,f51])).
% 0.20/0.39 fof(f113,plain,(
% 0.20/0.39 spl0_5),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f112])).
% 0.20/0.39 fof(f129,plain,(
% 0.20/0.39 spl0_11 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_2))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f130,plain,(
% 0.20/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_2))|~spl0_11),
% 0.20/0.39 inference(component_clause,[status(thm)],[f129])).
% 0.20/0.39 fof(f132,plain,(
% 0.20/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_2))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_3),
% 0.20/0.39 inference(resolution,[status(thm)],[f92,f51])).
% 0.20/0.39 fof(f133,plain,(
% 0.20/0.39 spl0_11|spl0_7|~spl0_3),
% 0.20/0.39 inference(split_clause,[status(thm)],[f132,f129,f105,f91])).
% 0.20/0.39 fof(f135,plain,(
% 0.20/0.39 ~distinct_points(sk0_0,sk0_1)|~spl0_7),
% 0.20/0.39 inference(resolution,[status(thm)],[f106,f30])).
% 0.20/0.39 fof(f136,plain,(
% 0.20/0.39 $false|~spl0_7),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f135,f50])).
% 0.20/0.39 fof(f137,plain,(
% 0.20/0.39 ~spl0_7),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f136])).
% 0.20/0.39 fof(f138,plain,(
% 0.20/0.39 ~distinct_points(sk0_0,sk0_2)|~spl0_11),
% 0.20/0.39 inference(resolution,[status(thm)],[f130,f30])).
% 0.20/0.39 fof(f139,plain,(
% 0.20/0.39 ~spl0_5|~spl0_11),
% 0.20/0.39 inference(split_clause,[status(thm)],[f138,f97,f129])).
% 0.20/0.39 fof(f142,plain,(
% 0.20/0.39 $false|~spl0_4),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f95,f53])).
% 0.20/0.39 fof(f143,plain,(
% 0.20/0.39 ~spl0_4),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f142])).
% 0.20/0.39 fof(f144,plain,(
% 0.20/0.39 $false),
% 0.20/0.39 inference(sat_refutation,[status(thm)],[f101,f113,f133,f137,f139,f143])).
% 0.20/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.051683 seconds
% 0.20/0.41 % CPU time: 0.301752 seconds
% 0.20/0.41 % Total memory used: 10.552 MB
% 0.20/0.41 % Net memory used: 10.406 MB
%------------------------------------------------------------------------------