TSTP Solution File: GEO190+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.06 % Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n023.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Apr 30 01:47:55 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.09/0.25 % Drodi V3.6.0
% 0.09/0.26 % Refutation found
% 0.09/0.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.26 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.26 fof(f1,axiom,(
% 0.09/0.26 (! [X] : ~ distinct_points(X,X) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f4,axiom,(
% 0.09/0.26 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f7,axiom,(
% 0.09/0.26 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f8,axiom,(
% 0.09/0.26 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f11,axiom,(
% 0.09/0.26 (! [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) ) ) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f13,axiom,(
% 0.09/0.26 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f15,conjecture,(
% 0.09/0.26 (! [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(Z,line_connecting(Y,X)) ) )),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.26 fof(f16,negated_conjecture,(
% 0.09/0.26 ~((! [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(Z,line_connecting(Y,X)) ) ))),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f15])).
% 0.09/0.26 fof(f17,plain,(
% 0.09/0.26 ![X0]: (~distinct_points(X0,X0))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f1])).
% 0.09/0.26 fof(f20,plain,(
% 0.09/0.26 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.09/0.26 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.09/0.26 fof(f21,plain,(
% 0.09/0.26 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.09/0.26 inference(miniscoping,[status(esa)],[f20])).
% 0.09/0.26 fof(f22,plain,(
% 0.09/0.26 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f21])).
% 0.09/0.26 fof(f29,plain,(
% 0.09/0.26 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.09/0.26 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.09/0.26 fof(f30,plain,(
% 0.09/0.26 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f29])).
% 0.09/0.26 fof(f31,plain,(
% 0.09/0.26 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.09/0.26 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.09/0.26 fof(f32,plain,(
% 0.09/0.26 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f31])).
% 0.09/0.26 fof(f37,plain,(
% 0.09/0.26 ![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)))),
% 0.09/0.26 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.09/0.26 fof(f38,plain,(
% 0.09/0.26 ![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))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f37])).
% 0.09/0.26 fof(f42,plain,(
% 0.09/0.26 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.09/0.26 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.09/0.26 fof(f43,plain,(
% 0.09/0.26 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.09/0.26 inference(miniscoping,[status(esa)],[f42])).
% 0.09/0.26 fof(f44,plain,(
% 0.09/0.26 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f43])).
% 0.09/0.26 fof(f48,plain,(
% 0.09/0.26 (?[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(Z,line_connecting(Y,X))))),
% 0.09/0.26 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.09/0.26 fof(f49,plain,(
% 0.09/0.26 ((((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_2,line_connecting(sk0_1,sk0_0)))),
% 0.09/0.26 inference(skolemization,[status(esa)],[f48])).
% 0.09/0.26 fof(f50,plain,(
% 0.09/0.26 distinct_points(sk0_0,sk0_1)),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f49])).
% 0.09/0.26 fof(f53,plain,(
% 0.09/0.26 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f49])).
% 0.09/0.26 fof(f54,plain,(
% 0.09/0.26 apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))),
% 0.09/0.26 inference(cnf_transformation,[status(esa)],[f49])).
% 0.09/0.26 fof(f57,plain,(
% 0.09/0.26 ![X0]: (distinct_lines(line_connecting(sk0_1,sk0_0),X0)|apart_point_and_line(sk0_2,X0))),
% 0.09/0.26 inference(resolution,[status(thm)],[f44,f54])).
% 0.09/0.26 fof(f62,plain,(
% 0.09/0.26 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,X2)|apart_point_and_line(X1,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X1,X2)|apart_point_and_line(sk0_2,X2))),
% 0.09/0.26 inference(resolution,[status(thm)],[f38,f57])).
% 0.09/0.26 fof(f67,plain,(
% 0.09/0.26 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1)))),
% 0.09/0.26 inference(resolution,[status(thm)],[f62,f53])).
% 0.09/0.26 fof(f77,plain,(
% 0.09/0.26 spl0_0 <=> ~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.09/0.26 introduced(split_symbol_definition)).
% 0.09/0.26 fof(f78,plain,(
% 0.09/0.26 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_0)),
% 0.09/0.26 inference(component_clause,[status(thm)],[f77])).
% 0.09/0.26 fof(f80,plain,(
% 0.09/0.26 spl0_1 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.09/0.26 introduced(split_symbol_definition)).
% 0.09/0.26 fof(f81,plain,(
% 0.09/0.26 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_1),
% 0.09/0.26 inference(component_clause,[status(thm)],[f80])).
% 0.09/0.26 fof(f83,plain,(
% 0.09/0.26 spl0_2 <=> distinct_points(sk0_1,sk0_0)),
% 0.09/0.26 introduced(split_symbol_definition)).
% 0.09/0.26 fof(f84,plain,(
% 0.09/0.26 distinct_points(sk0_1,sk0_0)|~spl0_2),
% 0.09/0.26 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.26 fof(f85,plain,(
% 0.09/0.26 ~distinct_points(sk0_1,sk0_0)|spl0_2),
% 0.09/0.26 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.26 fof(f86,plain,(
% 0.09/0.26 ![X0]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_1,sk0_0))),
% 0.09/0.26 inference(resolution,[status(thm)],[f67,f32])).
% 0.09/0.26 fof(f87,plain,(
% 0.09/0.26 spl0_0|spl0_1|~spl0_2),
% 0.09/0.26 inference(split_clause,[status(thm)],[f86,f77,f80,f83])).
% 0.09/0.26 fof(f91,plain,(
% 0.09/0.26 spl0_4 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.09/0.26 introduced(split_symbol_definition)).
% 0.09/0.26 fof(f92,plain,(
% 0.09/0.26 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_4),
% 0.09/0.26 inference(component_clause,[status(thm)],[f91])).
% 0.09/0.26 fof(f98,plain,(
% 0.09/0.26 ![X0]: (~distinct_points(X0,sk0_1)|distinct_points(X0,sk0_0)|spl0_2)),
% 0.09/0.26 inference(resolution,[status(thm)],[f85,f22])).
% 0.09/0.26 fof(f100,plain,(
% 0.09/0.26 ~distinct_points(sk0_0,sk0_1)|spl0_2),
% 0.09/0.26 inference(resolution,[status(thm)],[f98,f17])).
% 0.09/0.26 fof(f101,plain,(
% 0.09/0.26 $false|spl0_2),
% 0.09/0.26 inference(forward_subsumption_resolution,[status(thm)],[f100,f50])).
% 0.09/0.26 fof(f102,plain,(
% 0.09/0.26 spl0_2),
% 0.09/0.26 inference(contradiction_clause,[status(thm)],[f101])).
% 0.09/0.26 fof(f119,plain,(
% 0.09/0.26 spl0_9 <=> apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))),
% 0.09/0.26 introduced(split_symbol_definition)).
% 0.09/0.26 fof(f120,plain,(
% 0.09/0.26 apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))|~spl0_9),
% 0.09/0.26 inference(component_clause,[status(thm)],[f119])).
% 0.09/0.26 fof(f122,plain,(
% 0.09/0.26 apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_0|~spl0_2),
% 0.09/0.26 inference(resolution,[status(thm)],[f78,f84])).
% 0.09/0.26 fof(f123,plain,(
% 0.09/0.26 spl0_9|spl0_4|~spl0_0|~spl0_2),
% 0.09/0.26 inference(split_clause,[status(thm)],[f122,f119,f91,f77,f83])).
% 0.09/0.26 fof(f127,plain,(
% 0.09/0.26 ~distinct_points(sk0_0,sk0_1)|~spl0_4),
% 0.09/0.26 inference(resolution,[status(thm)],[f92,f32])).
% 0.09/0.26 fof(f128,plain,(
% 0.09/0.26 $false|~spl0_4),
% 0.09/0.26 inference(forward_subsumption_resolution,[status(thm)],[f127,f50])).
% 0.09/0.26 fof(f129,plain,(
% 0.09/0.26 ~spl0_4),
% 0.09/0.26 inference(contradiction_clause,[status(thm)],[f128])).
% 0.09/0.26 fof(f130,plain,(
% 0.09/0.26 ~distinct_points(sk0_1,sk0_0)|~spl0_9),
% 0.09/0.26 inference(resolution,[status(thm)],[f120,f30])).
% 0.09/0.26 fof(f131,plain,(
% 0.09/0.26 ~spl0_2|~spl0_9),
% 0.09/0.26 inference(split_clause,[status(thm)],[f130,f83,f119])).
% 0.09/0.26 fof(f134,plain,(
% 0.09/0.26 ~distinct_points(sk0_0,sk0_1)|~spl0_1),
% 0.09/0.26 inference(resolution,[status(thm)],[f81,f30])).
% 0.09/0.26 fof(f135,plain,(
% 0.09/0.26 $false|~spl0_1),
% 0.09/0.26 inference(forward_subsumption_resolution,[status(thm)],[f134,f50])).
% 0.09/0.26 fof(f136,plain,(
% 0.09/0.26 ~spl0_1),
% 0.09/0.26 inference(contradiction_clause,[status(thm)],[f135])).
% 0.09/0.26 fof(f137,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(sat_refutation,[status(thm)],[f87,f102,f123,f129,f131,f136])).
% 0.09/0.26 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.27 % Elapsed time: 0.013389 seconds
% 0.09/0.27 % CPU time: 0.041600 seconds
% 0.09/0.27 % Total memory used: 2.726 MB
% 0.09/0.27 % Net memory used: 2.706 MB
%------------------------------------------------------------------------------