TSTP Solution File: GEO175+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:17:18 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO175+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:50:58 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [X] : ~ distinct_points(X,X) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( ( apart_point_and_line(Z,X)| apart_point_and_line(Z,Y) )=> distinct_points(Z,intersection_point(X,Y)) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 (! [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) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,axiom,(
% 0.13/0.38 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,conjecture,(
% 0.13/0.38 (! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_points(X,intersection_point(U,V)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,negated_conjecture,(
% 0.13/0.38 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& convergent_lines(U,V)& distinct_points(X,intersection_point(U,V)) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V) ) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0]: (~distinct_points(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: ((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y)))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f31])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X0)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~apart_point_and_line(X2,X1)|distinct_points(X2,intersection_point(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![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)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![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))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 (?[X,Y,U,V]: (((distinct_points(X,Y)&convergent_lines(U,V))&distinct_points(X,intersection_point(U,V)))&(~apart_point_and_line(X,U)&~apart_point_and_line(X,V))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ?[X,U,V]: ((((?[Y]: distinct_points(X,Y))&convergent_lines(U,V))&distinct_points(X,intersection_point(U,V)))&(~apart_point_and_line(X,U)&~apart_point_and_line(X,V)))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f45])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 (((distinct_points(sk0_0,sk0_3)&convergent_lines(sk0_1,sk0_2))&distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)))&(~apart_point_and_line(sk0_0,sk0_1)&~apart_point_and_line(sk0_0,sk0_2)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f46])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 convergent_lines(sk0_1,sk0_2)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 distinct_points(sk0_0,intersection_point(sk0_1,sk0_2))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 ~apart_point_and_line(sk0_0,sk0_1)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ![X0,X1]: (~distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(intersection_point(sk0_1,sk0_2),X0)|apart_point_and_line(intersection_point(sk0_1,sk0_2),X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f36,f50])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 spl0_2 <=> apart_point_and_line(sk0_0,sk0_1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 apart_point_and_line(sk0_0,sk0_1)|~spl0_2),
% 0.13/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 spl0_3 <=> apart_point_and_line(sk0_0,sk0_2)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 apart_point_and_line(sk0_0,sk0_2)|~spl0_3),
% 0.13/0.39 inference(component_clause,[status(thm)],[f82])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(intersection_point(sk0_1,sk0_2),X0)|~convergent_lines(X2,X1)|distinct_points(intersection_point(sk0_1,sk0_2),intersection_point(X2,X1)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f62,f34])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 spl0_12 <=> ~distinct_lines(X0,sk0_2)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(intersection_point(sk0_1,sk0_2),X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 ![X0]: (~distinct_lines(X0,sk0_2)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(intersection_point(sk0_1,sk0_2),X0)|~spl0_12)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f146])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 spl0_13 <=> convergent_lines(sk0_1,sk0_2)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ~convergent_lines(sk0_1,sk0_2)|spl0_13),
% 0.13/0.39 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ![X0]: (~distinct_lines(X0,sk0_2)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,sk0_2)|apart_point_and_line(intersection_point(sk0_1,sk0_2),X0)|~convergent_lines(sk0_1,sk0_2))),
% 0.13/0.39 inference(resolution,[status(thm)],[f130,f15])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 spl0_12|spl0_3|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f152,f146,f82,f149])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 $false|spl0_13),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f151,f49])).
% 0.13/0.39 fof(f155,plain,(
% 0.13/0.39 spl0_13),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f154])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 $false|~spl0_3),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f83,f52])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 ~spl0_3),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f156])).
% 0.13/0.39 fof(f164,plain,(
% 0.13/0.39 $false|~spl0_2),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f80,f51])).
% 0.13/0.39 fof(f165,plain,(
% 0.13/0.39 ~spl0_2),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f164])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 ![X0,X1]: (~distinct_lines(X0,sk0_2)|apart_point_and_line(sk0_0,X0)|~convergent_lines(X0,X1)|distinct_points(intersection_point(sk0_1,sk0_2),intersection_point(X0,X1))|~spl0_12)),
% 0.13/0.39 inference(resolution,[status(thm)],[f147,f33])).
% 0.13/0.39 fof(f262,plain,(
% 0.13/0.39 spl0_18 <=> distinct_lines(sk0_1,sk0_2)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f264,plain,(
% 0.13/0.39 ~distinct_lines(sk0_1,sk0_2)|spl0_18),
% 0.13/0.39 inference(component_clause,[status(thm)],[f262])).
% 0.13/0.39 fof(f265,plain,(
% 0.13/0.39 ~distinct_lines(sk0_1,sk0_2)|apart_point_and_line(sk0_0,sk0_1)|~convergent_lines(sk0_1,sk0_2)|~spl0_12),
% 0.13/0.39 inference(resolution,[status(thm)],[f231,f15])).
% 0.13/0.39 fof(f266,plain,(
% 0.13/0.39 ~spl0_18|spl0_2|~spl0_13|~spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f265,f262,f79,f149,f146])).
% 0.13/0.39 fof(f285,plain,(
% 0.13/0.39 ~convergent_lines(sk0_1,sk0_2)|spl0_18),
% 0.13/0.39 inference(resolution,[status(thm)],[f264,f44])).
% 0.13/0.39 fof(f286,plain,(
% 0.13/0.39 ~spl0_13|spl0_18),
% 0.13/0.39 inference(split_clause,[status(thm)],[f285,f149,f262])).
% 0.13/0.39 fof(f287,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f153,f155,f157,f165,f266,f286])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.036486 seconds
% 0.13/0.39 % CPU time: 0.196433 seconds
% 0.13/0.39 % Total memory used: 7.362 MB
% 0.13/0.39 % Net memory used: 7.128 MB
%------------------------------------------------------------------------------