TSTP Solution File: GEO203+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO203+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 : Tue Apr 30 20:17:30 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 01:27:19 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 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(f9,axiom,(
% 0.11/0.35 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 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(f15,conjecture,(
% 0.11/0.35 (! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(X,Z)& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) )),
% 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] :( ( convergent_lines(X,Y)& convergent_lines(X,Z)& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) ))),
% 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(f33,plain,(
% 0.11/0.35 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.11/0.35 fof(f34,plain,(
% 0.11/0.35 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f33])).
% 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(f48,plain,(
% 0.11/0.35 (?[X,Y,Z]: (((convergent_lines(X,Y)&convergent_lines(X,Z))&distinct_points(intersection_point(X,Y),intersection_point(X,Z)))&distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X)))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.11/0.35 fof(f49,plain,(
% 0.11/0.35 (((convergent_lines(sk0_0,sk0_1)&convergent_lines(sk0_0,sk0_2))&distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))&distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f48])).
% 0.11/0.35 fof(f50,plain,(
% 0.11/0.35 convergent_lines(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 convergent_lines(sk0_0,sk0_2)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.11/0.35 fof(f52,plain,(
% 0.11/0.35 distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(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 distinct_lines(line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)),sk0_0)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.11/0.35 fof(f62,plain,(
% 0.11/0.35 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))|apart_point_and_line(X0,sk0_0)|apart_point_and_line(X1,line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))|apart_point_and_line(X1,sk0_0))),
% 0.11/0.35 inference(resolution,[status(thm)],[f38,f53])).
% 0.11/0.35 fof(f102,plain,(
% 0.11/0.35 spl0_0 <=> ~distinct_points(X0,intersection_point(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))|apart_point_and_line(X0,sk0_0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f103,plain,(
% 0.11/0.35 ![X0]: (~distinct_points(X0,intersection_point(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))|apart_point_and_line(X0,sk0_0)|~spl0_0)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f102])).
% 0.11/0.35 fof(f105,plain,(
% 0.11/0.35 spl0_1 <=> apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f106,plain,(
% 0.11/0.35 apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)|~spl0_1),
% 0.11/0.35 inference(component_clause,[status(thm)],[f105])).
% 0.11/0.35 fof(f108,plain,(
% 0.11/0.35 spl0_2 <=> distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f110,plain,(
% 0.11/0.35 ~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|spl0_2),
% 0.11/0.35 inference(component_clause,[status(thm)],[f108])).
% 0.11/0.35 fof(f111,plain,(
% 0.11/0.35 ![X0]: (~distinct_points(X0,intersection_point(sk0_0,sk0_2))|apart_point_and_line(X0,line_connecting(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))|apart_point_and_line(X0,sk0_0)|apart_point_and_line(intersection_point(sk0_0,sk0_2),sk0_0)|~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2)))),
% 0.11/0.35 inference(resolution,[status(thm)],[f62,f32])).
% 0.11/0.35 fof(f112,plain,(
% 0.11/0.35 spl0_0|spl0_1|~spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f111,f102,f105,f108])).
% 0.11/0.35 fof(f116,plain,(
% 0.11/0.35 spl0_4 <=> apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f117,plain,(
% 0.11/0.35 apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~spl0_4),
% 0.11/0.35 inference(component_clause,[status(thm)],[f116])).
% 0.11/0.35 fof(f121,plain,(
% 0.11/0.35 $false|spl0_2),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f110,f52])).
% 0.11/0.35 fof(f122,plain,(
% 0.11/0.35 spl0_2),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f121])).
% 0.11/0.35 fof(f130,plain,(
% 0.11/0.35 ~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_0)|~distinct_points(intersection_point(sk0_0,sk0_1),intersection_point(sk0_0,sk0_2))|~spl0_0),
% 0.11/0.35 inference(resolution,[status(thm)],[f103,f30])).
% 0.11/0.35 fof(f131,plain,(
% 0.11/0.35 ~spl0_2|spl0_4|~spl0_0),
% 0.11/0.35 inference(split_clause,[status(thm)],[f130,f108,f116,f102])).
% 0.11/0.35 fof(f132,plain,(
% 0.11/0.35 ~convergent_lines(sk0_0,sk0_1)|~spl0_4),
% 0.11/0.35 inference(resolution,[status(thm)],[f117,f34])).
% 0.11/0.35 fof(f133,plain,(
% 0.11/0.35 $false|~spl0_4),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f132,f50])).
% 0.11/0.35 fof(f134,plain,(
% 0.11/0.35 ~spl0_4),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f133])).
% 0.11/0.35 fof(f135,plain,(
% 0.11/0.35 ~convergent_lines(sk0_0,sk0_2)|~spl0_1),
% 0.11/0.35 inference(resolution,[status(thm)],[f106,f34])).
% 0.11/0.35 fof(f136,plain,(
% 0.11/0.35 $false|~spl0_1),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f135,f51])).
% 0.11/0.35 fof(f137,plain,(
% 0.11/0.35 ~spl0_1),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f136])).
% 0.11/0.35 fof(f138,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(sat_refutation,[status(thm)],[f112,f122,f131,f134,f137])).
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.37 % Elapsed time: 0.019675 seconds
% 0.11/0.37 % CPU time: 0.048082 seconds
% 0.11/0.37 % Total memory used: 2.755 MB
% 0.11/0.37 % Net memory used: 2.721 MB
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