TSTP Solution File: GEO200+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:08:14 EDT 2023
% Result : Theorem 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 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 May 30 12:13:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.35 % Refutation found
% 0.19/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.35 fof(f1,axiom,(
% 0.19/0.35 (! [X] : ~ distinct_points(X,X) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f4,axiom,(
% 0.19/0.35 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f7,axiom,(
% 0.19/0.35 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f8,axiom,(
% 0.19/0.35 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f11,axiom,(
% 0.19/0.35 (! [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) ) ) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f32,axiom,(
% 0.19/0.35 (! [X,Y] :( equal_lines(X,Y)<=> ~ distinct_lines(X,Y) ) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f36,conjecture,(
% 0.19/0.35 (! [X,Y] :( distinct_points(X,Y)=> equal_lines(line_connecting(X,Y),line_connecting(Y,X)) ) )),
% 0.19/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.35 fof(f37,negated_conjecture,(
% 0.19/0.35 ~((! [X,Y] :( distinct_points(X,Y)=> equal_lines(line_connecting(X,Y),line_connecting(Y,X)) ) ))),
% 0.19/0.35 inference(negated_conjecture,[status(cth)],[f36])).
% 0.19/0.35 fof(f38,plain,(
% 0.19/0.35 ![X0]: (~distinct_points(X0,X0))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.35 fof(f41,plain,(
% 0.19/0.35 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.19/0.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.19/0.35 fof(f42,plain,(
% 0.19/0.35 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.19/0.35 inference(miniscoping,[status(esa)],[f41])).
% 0.19/0.35 fof(f43,plain,(
% 0.19/0.35 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f42])).
% 0.19/0.35 fof(f50,plain,(
% 0.19/0.35 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.19/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.19/0.35 fof(f51,plain,(
% 0.19/0.35 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f50])).
% 0.19/0.35 fof(f52,plain,(
% 0.19/0.35 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.19/0.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.19/0.35 fof(f53,plain,(
% 0.19/0.35 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f52])).
% 0.19/0.35 fof(f58,plain,(
% 0.19/0.35 ![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)))),
% 0.19/0.35 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.19/0.35 fof(f59,plain,(
% 0.19/0.35 ![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))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.35 fof(f111,plain,(
% 0.19/0.35 ![X,Y]: ((~equal_lines(X,Y)|~distinct_lines(X,Y))&(equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.19/0.35 inference(NNF_transformation,[status(esa)],[f32])).
% 0.19/0.35 fof(f112,plain,(
% 0.19/0.35 (![X,Y]: (~equal_lines(X,Y)|~distinct_lines(X,Y)))&(![X,Y]: (equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.19/0.35 inference(miniscoping,[status(esa)],[f111])).
% 0.19/0.35 fof(f114,plain,(
% 0.19/0.35 ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f112])).
% 0.19/0.35 fof(f127,plain,(
% 0.19/0.35 (?[X,Y]: (distinct_points(X,Y)&~equal_lines(line_connecting(X,Y),line_connecting(Y,X))))),
% 0.19/0.35 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.19/0.35 fof(f128,plain,(
% 0.19/0.35 (distinct_points(sk0_0,sk0_1)&~equal_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0)))),
% 0.19/0.35 inference(skolemization,[status(esa)],[f127])).
% 0.19/0.35 fof(f129,plain,(
% 0.19/0.35 distinct_points(sk0_0,sk0_1)),
% 0.19/0.35 inference(cnf_transformation,[status(esa)],[f128])).
% 0.19/0.36 fof(f130,plain,(
% 0.19/0.36 ~equal_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f128])).
% 0.19/0.36 fof(f138,plain,(
% 0.19/0.36 ![X0,X1]: (~distinct_points(X0,X1)|distinct_points(X1,X0))),
% 0.19/0.36 inference(resolution,[status(thm)],[f43,f38])).
% 0.19/0.36 fof(f141,plain,(
% 0.19/0.36 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3)|equal_lines(X2,X3))),
% 0.19/0.36 inference(resolution,[status(thm)],[f59,f114])).
% 0.19/0.36 fof(f142,plain,(
% 0.19/0.36 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_1,sk0_0)))),
% 0.19/0.36 inference(resolution,[status(thm)],[f141,f130])).
% 0.19/0.36 fof(f147,plain,(
% 0.19/0.36 spl0_1 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f148,plain,(
% 0.19/0.36 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_1),
% 0.19/0.36 inference(component_clause,[status(thm)],[f147])).
% 0.19/0.36 fof(f150,plain,(
% 0.19/0.36 spl0_2 <=> distinct_points(sk0_1,sk0_0)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f152,plain,(
% 0.19/0.36 ~distinct_points(sk0_1,sk0_0)|spl0_2),
% 0.19/0.36 inference(component_clause,[status(thm)],[f150])).
% 0.19/0.36 fof(f163,plain,(
% 0.19/0.36 spl0_5 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f164,plain,(
% 0.19/0.36 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_5),
% 0.19/0.36 inference(component_clause,[status(thm)],[f163])).
% 0.19/0.36 fof(f176,plain,(
% 0.19/0.36 spl0_7 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f177,plain,(
% 0.19/0.36 ![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_1,sk0_0))|~spl0_7)),
% 0.19/0.36 inference(component_clause,[status(thm)],[f176])).
% 0.19/0.36 fof(f182,plain,(
% 0.19/0.36 spl0_9 <=> distinct_points(sk0_0,sk0_1)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f184,plain,(
% 0.19/0.36 ~distinct_points(sk0_0,sk0_1)|spl0_9),
% 0.19/0.36 inference(component_clause,[status(thm)],[f182])).
% 0.19/0.36 fof(f198,plain,(
% 0.19/0.36 ![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_1,sk0_0))|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_1,sk0_0))),
% 0.19/0.36 inference(resolution,[status(thm)],[f142,f51])).
% 0.19/0.36 fof(f199,plain,(
% 0.19/0.36 spl0_7|spl0_5|~spl0_2),
% 0.19/0.36 inference(split_clause,[status(thm)],[f198,f176,f163,f150])).
% 0.19/0.36 fof(f203,plain,(
% 0.19/0.36 $false|spl0_9),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f184,f129])).
% 0.19/0.36 fof(f204,plain,(
% 0.19/0.36 spl0_9),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f203])).
% 0.19/0.36 fof(f221,plain,(
% 0.19/0.36 ~distinct_points(sk0_0,sk0_1)|spl0_2),
% 0.19/0.36 inference(resolution,[status(thm)],[f152,f138])).
% 0.19/0.36 fof(f222,plain,(
% 0.19/0.36 ~spl0_9|spl0_2),
% 0.19/0.36 inference(split_clause,[status(thm)],[f221,f182,f150])).
% 0.19/0.36 fof(f227,plain,(
% 0.19/0.36 ~distinct_points(sk0_0,sk0_1)|~spl0_5),
% 0.19/0.36 inference(resolution,[status(thm)],[f164,f53])).
% 0.19/0.36 fof(f228,plain,(
% 0.19/0.36 ~spl0_9|~spl0_5),
% 0.19/0.36 inference(split_clause,[status(thm)],[f227,f182,f163])).
% 0.19/0.36 fof(f230,plain,(
% 0.19/0.36 ~distinct_points(sk0_0,sk0_1)|~spl0_1),
% 0.19/0.36 inference(resolution,[status(thm)],[f148,f51])).
% 0.19/0.36 fof(f231,plain,(
% 0.19/0.36 ~spl0_9|~spl0_1),
% 0.19/0.36 inference(split_clause,[status(thm)],[f230,f182,f147])).
% 0.19/0.36 fof(f235,plain,(
% 0.19/0.36 ~distinct_points(sk0_0,sk0_1)|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_1,sk0_0)|~spl0_7),
% 0.19/0.36 inference(resolution,[status(thm)],[f177,f53])).
% 0.19/0.36 fof(f236,plain,(
% 0.19/0.36 ~spl0_9|spl0_1|~spl0_2|~spl0_7),
% 0.19/0.36 inference(split_clause,[status(thm)],[f235,f182,f147,f150,f176])).
% 0.19/0.36 fof(f240,plain,(
% 0.19/0.36 $false),
% 0.19/0.36 inference(sat_refutation,[status(thm)],[f199,f204,f222,f228,f231,f236])).
% 0.19/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.59 % Elapsed time: 0.032003 seconds
% 0.20/0.59 % CPU time: 0.032363 seconds
% 0.20/0.59 % Memory used: 1.193 MB
%------------------------------------------------------------------------------