TSTP Solution File: GEO188+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:08:08 EDT 2023
% Result : Theorem 0.17s 0.38s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n011.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 12:02:27 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.17/0.38 % Refutation found
% 0.17/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.38 fof(f1,axiom,(
% 0.17/0.38 (! [X] : ~ distinct_points(X,X) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f4,axiom,(
% 0.17/0.38 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f7,axiom,(
% 0.17/0.38 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f8,axiom,(
% 0.17/0.38 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f11,axiom,(
% 0.17/0.38 (! [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) ) ) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f13,axiom,(
% 0.17/0.38 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f15,conjecture,(
% 0.17/0.38 (! [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(X,line_connecting(Z,Y)) ) )),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f16,negated_conjecture,(
% 0.17/0.38 ~((! [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(X,line_connecting(Z,Y)) ) ))),
% 0.17/0.38 inference(negated_conjecture,[status(cth)],[f15])).
% 0.17/0.38 fof(f17,plain,(
% 0.17/0.38 ![X0]: (~distinct_points(X0,X0))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.17/0.38 fof(f20,plain,(
% 0.17/0.38 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.17/0.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.17/0.38 fof(f21,plain,(
% 0.17/0.38 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.17/0.38 inference(miniscoping,[status(esa)],[f20])).
% 0.17/0.38 fof(f22,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f21])).
% 0.17/0.38 fof(f29,plain,(
% 0.17/0.38 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.17/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.17/0.38 fof(f30,plain,(
% 0.17/0.38 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f29])).
% 0.17/0.38 fof(f31,plain,(
% 0.17/0.38 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.17/0.38 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.17/0.38 fof(f32,plain,(
% 0.17/0.38 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f31])).
% 0.17/0.38 fof(f37,plain,(
% 0.17/0.38 ![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)))),
% 0.17/0.38 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.17/0.38 fof(f38,plain,(
% 0.17/0.38 ![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))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f37])).
% 0.17/0.38 fof(f42,plain,(
% 0.17/0.38 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.17/0.38 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.17/0.38 fof(f43,plain,(
% 0.17/0.38 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.17/0.38 inference(miniscoping,[status(esa)],[f42])).
% 0.17/0.38 fof(f44,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f43])).
% 0.17/0.38 fof(f48,plain,(
% 0.17/0.38 (?[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(X,line_connecting(Z,Y))))),
% 0.17/0.38 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.17/0.38 fof(f49,plain,(
% 0.17/0.38 ((((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_0,line_connecting(sk0_2,sk0_1)))),
% 0.17/0.38 inference(skolemization,[status(esa)],[f48])).
% 0.17/0.38 fof(f50,plain,(
% 0.17/0.38 distinct_points(sk0_0,sk0_1)),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.17/0.38 fof(f52,plain,(
% 0.17/0.38 distinct_points(sk0_1,sk0_2)),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.17/0.38 fof(f53,plain,(
% 0.17/0.38 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.17/0.38 fof(f54,plain,(
% 0.17/0.38 apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_1))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f49])).
% 0.17/0.38 fof(f55,plain,(
% 0.17/0.38 ![X0]: (distinct_points(sk0_1,X0)|distinct_points(sk0_2,X0))),
% 0.17/0.38 inference(resolution,[status(thm)],[f22,f52])).
% 0.17/0.38 fof(f58,plain,(
% 0.17/0.38 ![X0,X1]: (distinct_points(sk0_1,X0)|distinct_points(sk0_2,X1)|distinct_points(X0,X1))),
% 0.17/0.38 inference(resolution,[status(thm)],[f55,f22])).
% 0.17/0.38 fof(f74,plain,(
% 0.17/0.38 distinct_points(sk0_2,sk0_1)),
% 0.17/0.38 inference(resolution,[status(thm)],[f58,f17])).
% 0.17/0.38 fof(f141,plain,(
% 0.17/0.38 ![X0]: (distinct_lines(line_connecting(sk0_2,sk0_1),X0)|apart_point_and_line(sk0_0,X0))),
% 0.17/0.38 inference(resolution,[status(thm)],[f44,f54])).
% 0.17/0.38 fof(f184,plain,(
% 0.17/0.38 ![X0,X1,X2]: (apart_point_and_line(sk0_0,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X2,X0))),
% 0.17/0.38 inference(resolution,[status(thm)],[f141,f38])).
% 0.17/0.38 fof(f313,plain,(
% 0.17/0.38 spl0_18 <=> apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_1))),
% 0.17/0.38 introduced(split_symbol_definition)).
% 0.17/0.38 fof(f314,plain,(
% 0.17/0.38 apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_1))|~spl0_18),
% 0.17/0.38 inference(component_clause,[status(thm)],[f313])).
% 0.17/0.38 fof(f318,plain,(
% 0.17/0.38 spl0_19 <=> apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)),
% 0.17/0.38 introduced(split_symbol_definition)).
% 0.17/0.38 fof(f319,plain,(
% 0.17/0.38 ![X0]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)|~spl0_19)),
% 0.17/0.38 inference(component_clause,[status(thm)],[f318])).
% 0.17/0.38 fof(f321,plain,(
% 0.17/0.38 spl0_20 <=> apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_1))),
% 0.17/0.38 introduced(split_symbol_definition)).
% 0.17/0.38 fof(f322,plain,(
% 0.17/0.38 apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_1))|~spl0_20),
% 0.17/0.38 inference(component_clause,[status(thm)],[f321])).
% 0.17/0.38 fof(f324,plain,(
% 0.17/0.38 ![X0]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_1))|apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_1))|apart_point_and_line(sk0_1,X0))),
% 0.17/0.38 inference(resolution,[status(thm)],[f184,f74])).
% 0.17/0.38 fof(f325,plain,(
% 0.17/0.38 spl0_19|spl0_18|spl0_20),
% 0.17/0.38 inference(split_clause,[status(thm)],[f324,f318,f313,f321])).
% 0.17/0.38 fof(f527,plain,(
% 0.17/0.38 ~distinct_points(sk0_2,sk0_1)|~spl0_20),
% 0.17/0.38 inference(resolution,[status(thm)],[f322,f32])).
% 0.17/0.38 fof(f528,plain,(
% 0.17/0.38 $false|~spl0_20),
% 0.17/0.38 inference(forward_subsumption_resolution,[status(thm)],[f527,f74])).
% 0.17/0.38 fof(f529,plain,(
% 0.17/0.38 ~spl0_20),
% 0.17/0.38 inference(contradiction_clause,[status(thm)],[f528])).
% 0.17/0.38 fof(f531,plain,(
% 0.17/0.38 ~distinct_points(sk0_2,sk0_1)|~spl0_18),
% 0.17/0.38 inference(resolution,[status(thm)],[f314,f30])).
% 0.17/0.38 fof(f532,plain,(
% 0.17/0.38 $false|~spl0_18),
% 0.17/0.38 inference(forward_subsumption_resolution,[status(thm)],[f531,f74])).
% 0.17/0.38 fof(f533,plain,(
% 0.17/0.38 ~spl0_18),
% 0.17/0.38 inference(contradiction_clause,[status(thm)],[f532])).
% 0.17/0.38 fof(f548,plain,(
% 0.17/0.38 spl0_49 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.17/0.38 introduced(split_symbol_definition)).
% 0.17/0.38 fof(f549,plain,(
% 0.17/0.38 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_49),
% 0.17/0.38 inference(component_clause,[status(thm)],[f548])).
% 0.17/0.38 fof(f551,plain,(
% 0.17/0.38 spl0_50 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.17/0.38 introduced(split_symbol_definition)).
% 0.17/0.38 fof(f552,plain,(
% 0.17/0.38 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_50),
% 0.17/0.38 inference(component_clause,[status(thm)],[f551])).
% 0.17/0.38 fof(f554,plain,(
% 0.17/0.38 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_19),
% 0.17/0.38 inference(resolution,[status(thm)],[f319,f53])).
% 0.17/0.38 fof(f555,plain,(
% 0.17/0.38 spl0_49|spl0_50|~spl0_19),
% 0.17/0.38 inference(split_clause,[status(thm)],[f554,f548,f551,f318])).
% 0.17/0.38 fof(f560,plain,(
% 0.17/0.38 ~distinct_points(sk0_0,sk0_1)|~spl0_49),
% 0.17/0.38 inference(resolution,[status(thm)],[f549,f30])).
% 0.17/0.38 fof(f561,plain,(
% 0.17/0.38 $false|~spl0_49),
% 0.17/0.38 inference(forward_subsumption_resolution,[status(thm)],[f560,f50])).
% 0.17/0.38 fof(f562,plain,(
% 0.17/0.38 ~spl0_49),
% 0.17/0.38 inference(contradiction_clause,[status(thm)],[f561])).
% 0.17/0.38 fof(f563,plain,(
% 0.17/0.38 ~distinct_points(sk0_0,sk0_1)|~spl0_50),
% 0.17/0.38 inference(resolution,[status(thm)],[f552,f32])).
% 0.17/0.38 fof(f564,plain,(
% 0.17/0.38 $false|~spl0_50),
% 0.17/0.38 inference(forward_subsumption_resolution,[status(thm)],[f563,f50])).
% 0.17/0.38 fof(f565,plain,(
% 0.17/0.38 ~spl0_50),
% 0.17/0.38 inference(contradiction_clause,[status(thm)],[f564])).
% 0.17/0.38 fof(f566,plain,(
% 0.17/0.38 $false),
% 0.17/0.38 inference(sat_refutation,[status(thm)],[f325,f529,f533,f555,f562,f565])).
% 0.17/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.40 % Elapsed time: 0.071480 seconds
% 0.17/0.40 % CPU time: 0.141927 seconds
% 0.17/0.40 % Memory used: 4.446 MB
%------------------------------------------------------------------------------