TSTP Solution File: GEO189+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO189+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:08:09 EDT 2023
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n016.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 12:29:59 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.35 fof(f7,axiom,(
% 0.11/0.35 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f8,axiom,(
% 0.11/0.35 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f11,axiom,(
% 0.11/0.35 (! [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) ) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f13,axiom,(
% 0.11/0.35 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f15,conjecture,(
% 0.11/0.35 (! [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(Y,line_connecting(X,Z)) ) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f16,negated_conjecture,(
% 0.11/0.35 ~((! [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(Y,line_connecting(X,Z)) ) ))),
% 0.11/0.35 inference(negated_conjecture,[status(cth)],[f15])).
% 0.11/0.35 fof(f29,plain,(
% 0.11/0.35 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.11/0.35 fof(f30,plain,(
% 0.11/0.35 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f29])).
% 0.11/0.35 fof(f31,plain,(
% 0.11/0.35 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.35 fof(f32,plain,(
% 0.11/0.35 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.35 fof(f37,plain,(
% 0.11/0.35 ![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)))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.11/0.35 fof(f38,plain,(
% 0.11/0.35 ![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))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.35 fof(f42,plain,(
% 0.11/0.35 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.11/0.35 fof(f43,plain,(
% 0.11/0.35 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.11/0.35 inference(miniscoping,[status(esa)],[f42])).
% 0.11/0.35 fof(f44,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f43])).
% 0.11/0.35 fof(f48,plain,(
% 0.11/0.35 (?[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(Y,line_connecting(X,Z))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.11/0.35 fof(f49,plain,(
% 0.11/0.35 ((((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_1,line_connecting(sk0_0,sk0_2)))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f48])).
% 0.11/0.35 fof(f50,plain,(
% 0.11/0.35 distinct_points(sk0_0,sk0_1)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.11/0.35 fof(f51,plain,(
% 0.11/0.35 distinct_points(sk0_0,sk0_2)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.11/0.35 fof(f53,plain,(
% 0.11/0.35 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.11/0.35 fof(f54,plain,(
% 0.11/0.35 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_2))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.11/0.35 fof(f74,plain,(
% 0.11/0.35 spl0_1 <=> distinct_points(sk0_0,sk0_2)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f76,plain,(
% 0.11/0.36 ~distinct_points(sk0_0,sk0_2)|spl0_1),
% 0.11/0.36 inference(component_clause,[status(thm)],[f74])).
% 0.11/0.36 fof(f85,plain,(
% 0.11/0.36 $false|spl0_1),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f76,f51])).
% 0.11/0.36 fof(f86,plain,(
% 0.11/0.36 spl0_1),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f85])).
% 0.11/0.36 fof(f452,plain,(
% 0.11/0.36 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_2),X0)|apart_point_and_line(sk0_1,X0))),
% 0.11/0.36 inference(resolution,[status(thm)],[f44,f54])).
% 0.11/0.36 fof(f465,plain,(
% 0.11/0.36 ![X0,X1,X2]: (apart_point_and_line(sk0_1,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X2,X0))),
% 0.11/0.36 inference(resolution,[status(thm)],[f452,f38])).
% 0.11/0.36 fof(f567,plain,(
% 0.11/0.36 spl0_23 <=> apart_point_and_line(sk0_1,X0)|~distinct_points(X1,sk0_2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,X0)|apart_point_and_line(sk0_2,X0)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f568,plain,(
% 0.11/0.36 ![X0,X1]: (apart_point_and_line(sk0_1,X0)|~distinct_points(X1,sk0_2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,X0)|apart_point_and_line(sk0_2,X0)|~spl0_23)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f567])).
% 0.11/0.36 fof(f570,plain,(
% 0.11/0.36 ![X0,X1]: (apart_point_and_line(sk0_1,X0)|~distinct_points(X1,sk0_2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_2))|apart_point_and_line(X1,X0)|apart_point_and_line(sk0_2,X0)|~distinct_points(sk0_0,sk0_2))),
% 0.11/0.36 inference(resolution,[status(thm)],[f465,f32])).
% 0.11/0.36 fof(f571,plain,(
% 0.11/0.36 spl0_23|~spl0_1),
% 0.11/0.36 inference(split_clause,[status(thm)],[f570,f567,f74])).
% 0.11/0.36 fof(f586,plain,(
% 0.11/0.36 spl0_26 <=> apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f587,plain,(
% 0.11/0.36 ![X0]: (apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)|~spl0_26)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f586])).
% 0.11/0.36 fof(f589,plain,(
% 0.11/0.36 ![X0]: (apart_point_and_line(sk0_1,X0)|~distinct_points(sk0_0,sk0_2)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)|~distinct_points(sk0_0,sk0_2)|~spl0_23)),
% 0.11/0.36 inference(resolution,[status(thm)],[f568,f30])).
% 0.11/0.36 fof(f590,plain,(
% 0.11/0.36 spl0_26|~spl0_1|~spl0_23),
% 0.11/0.36 inference(split_clause,[status(thm)],[f589,f586,f74,f567])).
% 0.11/0.36 fof(f972,plain,(
% 0.11/0.36 spl0_39 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f973,plain,(
% 0.11/0.36 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_39),
% 0.11/0.36 inference(component_clause,[status(thm)],[f972])).
% 0.11/0.36 fof(f975,plain,(
% 0.11/0.36 spl0_40 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f976,plain,(
% 0.11/0.36 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_40),
% 0.11/0.36 inference(component_clause,[status(thm)],[f975])).
% 0.11/0.36 fof(f978,plain,(
% 0.11/0.36 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_26),
% 0.11/0.36 inference(resolution,[status(thm)],[f587,f53])).
% 0.11/0.36 fof(f979,plain,(
% 0.11/0.36 spl0_39|spl0_40|~spl0_26),
% 0.11/0.36 inference(split_clause,[status(thm)],[f978,f972,f975,f586])).
% 0.11/0.36 fof(f984,plain,(
% 0.11/0.36 ~distinct_points(sk0_0,sk0_1)|~spl0_39),
% 0.11/0.36 inference(resolution,[status(thm)],[f973,f32])).
% 0.11/0.36 fof(f985,plain,(
% 0.11/0.36 $false|~spl0_39),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f984,f50])).
% 0.11/0.36 fof(f986,plain,(
% 0.11/0.36 ~spl0_39),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f985])).
% 0.11/0.36 fof(f987,plain,(
% 0.11/0.36 ~distinct_points(sk0_0,sk0_1)|~spl0_40),
% 0.11/0.36 inference(resolution,[status(thm)],[f976,f30])).
% 0.11/0.36 fof(f988,plain,(
% 0.11/0.36 $false|~spl0_40),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f987,f50])).
% 0.11/0.36 fof(f989,plain,(
% 0.11/0.36 ~spl0_40),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f988])).
% 0.11/0.36 fof(f990,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(sat_refutation,[status(thm)],[f86,f571,f590,f979,f986,f989])).
% 0.11/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.36 % Elapsed time: 0.099273 seconds
% 0.11/0.36 % CPU time: 0.706370 seconds
% 0.11/0.36 % Memory used: 10.443 MB
%------------------------------------------------------------------------------