TSTP Solution File: GEO184+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO184+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:17:21 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO184+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:52:29 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,axiom,(
% 0.13/0.36 (! [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) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f15,conjecture,(
% 0.13/0.36 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ~ apart_point_and_line(X,U)& ~ apart_point_and_line(Y,U) )=> ~ distinct_lines(U,line_connecting(X,Y)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f16,negated_conjecture,(
% 0.13/0.36 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& ~ apart_point_and_line(X,U)& ~ apart_point_and_line(Y,U) )=> ~ distinct_lines(U,line_connecting(X,Y)) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f15])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ![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)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 ![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))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 (?[X,Y,U,V]: ((((distinct_points(X,Y)&convergent_lines(U,V))&~apart_point_and_line(X,U))&~apart_point_and_line(Y,U))&distinct_lines(U,line_connecting(X,Y))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ?[X,Y,U]: ((((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&~apart_point_and_line(X,U))&~apart_point_and_line(Y,U))&distinct_lines(U,line_connecting(X,Y)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f48])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 ((((distinct_points(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_3))&~apart_point_and_line(sk0_0,sk0_2))&~apart_point_and_line(sk0_1,sk0_2))&distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1)))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f49])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 distinct_points(sk0_0,sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 ~apart_point_and_line(sk0_1,sk0_2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.36 fof(f68,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,sk0_2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f38,f55])).
% 0.13/0.36 fof(f132,plain,(
% 0.13/0.36 spl0_7 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f133,plain,(
% 0.13/0.36 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_7)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f132])).
% 0.13/0.37 fof(f135,plain,(
% 0.13/0.37 spl0_8 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f136,plain,(
% 0.13/0.37 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.37 fof(f138,plain,(
% 0.13/0.37 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f68,f54])).
% 0.13/0.37 fof(f139,plain,(
% 0.13/0.37 spl0_7|spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f138,f132,f135])).
% 0.13/0.37 fof(f143,plain,(
% 0.13/0.37 spl0_10 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f144,plain,(
% 0.13/0.37 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_10),
% 0.13/0.37 inference(component_clause,[status(thm)],[f143])).
% 0.13/0.37 fof(f155,plain,(
% 0.13/0.37 ~distinct_points(sk0_0,sk0_1)|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f136,f32])).
% 0.13/0.37 fof(f156,plain,(
% 0.13/0.37 $false|~spl0_8),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f155,f51])).
% 0.13/0.37 fof(f157,plain,(
% 0.13/0.37 ~spl0_8),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f156])).
% 0.13/0.37 fof(f175,plain,(
% 0.13/0.37 spl0_13 <=> distinct_points(sk0_0,sk0_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f177,plain,(
% 0.13/0.37 ~distinct_points(sk0_0,sk0_1)|spl0_13),
% 0.13/0.37 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.37 fof(f178,plain,(
% 0.13/0.37 ~distinct_points(sk0_0,sk0_1)|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_7),
% 0.13/0.37 inference(resolution,[status(thm)],[f133,f53])).
% 0.13/0.37 fof(f179,plain,(
% 0.13/0.37 ~spl0_13|spl0_10|~spl0_7),
% 0.13/0.37 inference(split_clause,[status(thm)],[f178,f175,f143,f132])).
% 0.13/0.37 fof(f180,plain,(
% 0.13/0.37 $false|spl0_13),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f177,f51])).
% 0.13/0.37 fof(f181,plain,(
% 0.13/0.37 spl0_13),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f180])).
% 0.13/0.37 fof(f182,plain,(
% 0.13/0.37 ~distinct_points(sk0_0,sk0_1)|~spl0_10),
% 0.13/0.37 inference(resolution,[status(thm)],[f144,f30])).
% 0.13/0.37 fof(f183,plain,(
% 0.13/0.37 ~spl0_13|~spl0_10),
% 0.13/0.37 inference(split_clause,[status(thm)],[f182,f175,f143])).
% 0.13/0.37 fof(f184,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f139,f157,f179,f181,f183])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.025811 seconds
% 0.13/0.37 % CPU time: 0.089217 seconds
% 0.13/0.37 % Total memory used: 3.905 MB
% 0.13/0.37 % Net memory used: 3.782 MB
%------------------------------------------------------------------------------