TSTP Solution File: GEO173+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:08:01 EDT 2023
% Result : Theorem 0.11s 0.33s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:56:33 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.33 fof(f7,axiom,(
% 0.11/0.33 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f8,axiom,(
% 0.11/0.33 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f11,axiom,(
% 0.11/0.33 (! [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) ) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f15,conjecture,(
% 0.11/0.33 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_lines(U,line_connecting(X,Y)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) ) )),
% 0.11/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f16,negated_conjecture,(
% 0.11/0.33 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_lines(U,line_connecting(X,Y)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(Y,U) ) ) ))),
% 0.11/0.33 inference(negated_conjecture,[status(cth)],[f15])).
% 0.11/0.33 fof(f29,plain,(
% 0.11/0.33 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.11/0.33 fof(f30,plain,(
% 0.11/0.33 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f29])).
% 0.11/0.33 fof(f31,plain,(
% 0.11/0.33 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.33 fof(f32,plain,(
% 0.11/0.33 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.33 fof(f37,plain,(
% 0.11/0.33 ![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)))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.11/0.33 fof(f38,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.33 fof(f48,plain,(
% 0.11/0.33 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&distinct_lines(U,line_connecting(X,Y)))&(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U))))),
% 0.11/0.33 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.11/0.33 fof(f49,plain,(
% 0.11/0.33 ?[X,Y,U]: (((distinct_points(X,Y)&(?[V]: convergent_lines(U,V)))&distinct_lines(U,line_connecting(X,Y)))&(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U)))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f48])).
% 0.11/0.33 fof(f50,plain,(
% 0.11/0.33 (((distinct_points(sk0_0,sk0_1)&convergent_lines(sk0_2,sk0_3))&distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1)))&(~apart_point_and_line(sk0_0,sk0_2)&~apart_point_and_line(sk0_1,sk0_2)))),
% 0.11/0.33 inference(skolemization,[status(esa)],[f49])).
% 0.11/0.33 fof(f51,plain,(
% 0.11/0.33 distinct_points(sk0_0,sk0_1)),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.33 fof(f53,plain,(
% 0.11/0.33 distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.33 fof(f54,plain,(
% 0.11/0.33 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.33 fof(f55,plain,(
% 0.11/0.33 ~apart_point_and_line(sk0_1,sk0_2)),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.33 fof(f63,plain,(
% 0.11/0.33 ![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)))),
% 0.11/0.33 inference(resolution,[status(thm)],[f38,f53])).
% 0.11/0.33 fof(f103,plain,(
% 0.11/0.33 spl0_0 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f104,plain,(
% 0.11/0.33 ![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_0)),
% 0.17/0.55 inference(component_clause,[status(thm)],[f103])).
% 0.17/0.55 fof(f106,plain,(
% 0.17/0.55 spl0_1 <=> apart_point_and_line(sk0_1,sk0_2)),
% 0.17/0.55 introduced(split_symbol_definition)).
% 0.17/0.55 fof(f107,plain,(
% 0.17/0.55 apart_point_and_line(sk0_1,sk0_2)|~spl0_1),
% 0.17/0.55 inference(component_clause,[status(thm)],[f106])).
% 0.17/0.55 fof(f109,plain,(
% 0.17/0.55 spl0_2 <=> distinct_points(sk0_0,sk0_1)),
% 0.17/0.55 introduced(split_symbol_definition)).
% 0.17/0.55 fof(f111,plain,(
% 0.17/0.55 ~distinct_points(sk0_0,sk0_1)|spl0_2),
% 0.17/0.55 inference(component_clause,[status(thm)],[f109])).
% 0.17/0.55 fof(f112,plain,(
% 0.17/0.55 ![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,sk0_2)|~distinct_points(sk0_0,sk0_1))),
% 0.17/0.55 inference(resolution,[status(thm)],[f63,f32])).
% 0.17/0.55 fof(f113,plain,(
% 0.17/0.55 spl0_0|spl0_1|~spl0_2),
% 0.17/0.55 inference(split_clause,[status(thm)],[f112,f103,f106,f109])).
% 0.17/0.55 fof(f117,plain,(
% 0.17/0.55 spl0_4 <=> apart_point_and_line(sk0_0,sk0_2)),
% 0.17/0.55 introduced(split_symbol_definition)).
% 0.17/0.55 fof(f118,plain,(
% 0.17/0.55 apart_point_and_line(sk0_0,sk0_2)|~spl0_4),
% 0.17/0.55 inference(component_clause,[status(thm)],[f117])).
% 0.17/0.55 fof(f124,plain,(
% 0.17/0.55 $false|spl0_2),
% 0.17/0.55 inference(forward_subsumption_resolution,[status(thm)],[f111,f51])).
% 0.17/0.55 fof(f125,plain,(
% 0.17/0.55 spl0_2),
% 0.17/0.55 inference(contradiction_clause,[status(thm)],[f124])).
% 0.17/0.55 fof(f161,plain,(
% 0.17/0.55 ~distinct_points(sk0_0,sk0_1)|apart_point_and_line(sk0_0,sk0_2)|~distinct_points(sk0_0,sk0_1)|~spl0_0),
% 0.17/0.55 inference(resolution,[status(thm)],[f104,f30])).
% 0.17/0.55 fof(f162,plain,(
% 0.17/0.55 ~spl0_2|spl0_4|~spl0_0),
% 0.17/0.55 inference(split_clause,[status(thm)],[f161,f109,f117,f103])).
% 0.17/0.55 fof(f165,plain,(
% 0.17/0.55 $false|~spl0_4),
% 0.17/0.55 inference(forward_subsumption_resolution,[status(thm)],[f118,f54])).
% 0.17/0.55 fof(f166,plain,(
% 0.17/0.55 ~spl0_4),
% 0.17/0.55 inference(contradiction_clause,[status(thm)],[f165])).
% 0.17/0.55 fof(f167,plain,(
% 0.17/0.55 $false|~spl0_1),
% 0.17/0.55 inference(forward_subsumption_resolution,[status(thm)],[f107,f55])).
% 0.17/0.55 fof(f168,plain,(
% 0.17/0.55 ~spl0_1),
% 0.17/0.55 inference(contradiction_clause,[status(thm)],[f167])).
% 0.17/0.55 fof(f169,plain,(
% 0.17/0.55 $false),
% 0.17/0.55 inference(sat_refutation,[status(thm)],[f113,f125,f162,f166,f168])).
% 0.17/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.55 % Elapsed time: 0.014894 seconds
% 0.17/0.55 % CPU time: 0.021265 seconds
% 0.17/0.55 % Memory used: 640.329 KB
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