TSTP Solution File: GEO182+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:08:06 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 11:51:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 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(f13,axiom,(
% 0.13/0.36 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f15,axiom,(
% 0.13/0.36 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f16,axiom,(
% 0.13/0.36 (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f17,axiom,(
% 0.13/0.36 (! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f36,conjecture,(
% 0.13/0.36 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Z,line_connecting(Y,X)) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f37,negated_conjecture,(
% 0.13/0.36 ~((! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Z,line_connecting(Y,X)) ) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f36])).
% 0.13/0.36 fof(f50,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(f51,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)],[f50])).
% 0.13/0.36 fof(f52,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(f53,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)],[f52])).
% 0.13/0.36 fof(f58,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(f59,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)],[f58])).
% 0.13/0.36 fof(f63,plain,(
% 0.13/0.36 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f63])).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f64])).
% 0.13/0.36 fof(f69,plain,(
% 0.13/0.36 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.13/0.36 fof(f70,plain,(
% 0.13/0.36 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f69])).
% 0.13/0.36 fof(f71,plain,(
% 0.13/0.36 ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 ![X0,X1]: (~apart_point_and_line(X0,parallel_through_point(X1,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.36 fof(f127,plain,(
% 0.13/0.36 (?[X,Y,Z]: (distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X)))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.13/0.36 fof(f128,plain,(
% 0.13/0.36 ?[X,Y]: (distinct_points(X,Y)&(?[Z]: (apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f127])).
% 0.13/0.36 fof(f129,plain,(
% 0.13/0.36 (distinct_points(sk0_0,sk0_1)&(apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))&~apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f128])).
% 0.13/0.36 fof(f130,plain,(
% 0.13/0.36 distinct_points(sk0_0,sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f129])).
% 0.13/0.36 fof(f131,plain,(
% 0.13/0.36 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f129])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_1),X0)|apart_point_and_line(sk0_2,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f65,f131])).
% 0.13/0.36 fof(f151,plain,(
% 0.13/0.36 ![X0,X1,X2]: (apart_point_and_line(sk0_2,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X2,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f147,f59])).
% 0.13/0.36 fof(f173,plain,(
% 0.13/0.36 spl0_2 <=> apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f174,plain,(
% 0.13/0.36 ![X0]: (apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)|~spl0_2)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f173])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 spl0_3 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f177,plain,(
% 0.13/0.36 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f176])).
% 0.13/0.36 fof(f179,plain,(
% 0.13/0.36 spl0_4 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f180,plain,(
% 0.13/0.36 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.36 fof(f181,plain,(
% 0.13/0.36 ~apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.36 fof(f182,plain,(
% 0.13/0.36 ![X0]: (apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f151,f130])).
% 0.13/0.36 fof(f183,plain,(
% 0.13/0.36 spl0_2|spl0_3|spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f182,f173,f176,f179])).
% 0.13/0.36 fof(f190,plain,(
% 0.13/0.36 ~distinct_points(sk0_0,sk0_1)|~spl0_4),
% 0.13/0.36 inference(resolution,[status(thm)],[f180,f53])).
% 0.13/0.36 fof(f191,plain,(
% 0.13/0.36 $false|~spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f190,f130])).
% 0.13/0.36 fof(f192,plain,(
% 0.13/0.36 ~spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f191])).
% 0.13/0.36 fof(f197,plain,(
% 0.13/0.36 ![X0,X1]: (apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)|distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X1)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f174,f65])).
% 0.13/0.36 fof(f232,plain,(
% 0.13/0.36 ~distinct_points(sk0_0,sk0_1)|~spl0_3),
% 0.13/0.36 inference(resolution,[status(thm)],[f177,f51])).
% 0.13/0.36 fof(f233,plain,(
% 0.13/0.36 $false|~spl0_3),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f232,f130])).
% 0.13/0.36 fof(f234,plain,(
% 0.13/0.36 ~spl0_3),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f233])).
% 0.13/0.36 fof(f247,plain,(
% 0.13/0.36 ![X0,X1]: (apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X1)|convergent_lines(X0,X1)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f197,f70])).
% 0.13/0.36 fof(f252,plain,(
% 0.13/0.36 ![X0,X1]: (apart_point_and_line(sk0_2,parallel_through_point(X0,X1))|apart_point_and_line(sk0_1,parallel_through_point(X0,X1))|apart_point_and_line(sk0_0,X0)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f247,f71])).
% 0.13/0.36 fof(f255,plain,(
% 0.13/0.36 ![X0]: (apart_point_and_line(sk0_1,parallel_through_point(X0,sk0_2))|apart_point_and_line(sk0_0,X0)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f252,f72])).
% 0.13/0.36 fof(f258,plain,(
% 0.13/0.36 ![X0,X1]: (apart_point_and_line(sk0_0,X0)|distinct_lines(parallel_through_point(X0,sk0_2),X1)|apart_point_and_line(sk0_1,X1)|~spl0_2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f255,f65])).
% 0.13/0.39 fof(f260,plain,(
% 0.13/0.39 ![X0,X1]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X1)|convergent_lines(parallel_through_point(X0,sk0_2),X1)|~spl0_2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f258,f70])).
% 0.13/0.39 fof(f265,plain,(
% 0.13/0.39 ![X0]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)|~spl0_2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f260,f71])).
% 0.13/0.39 fof(f268,plain,(
% 0.13/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_2|spl0_4),
% 0.13/0.39 inference(resolution,[status(thm)],[f265,f181])).
% 0.13/0.39 fof(f269,plain,(
% 0.13/0.39 spl0_3|~spl0_2|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f268,f176,f173,f179])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f183,f192,f234,f269])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.60 % Elapsed time: 0.042981 seconds
% 0.26/0.60 % CPU time: 0.029349 seconds
% 0.26/0.60 % Memory used: 721.563 KB
%------------------------------------------------------------------------------