TSTP Solution File: GEO175+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:55:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.50 % Refutation found
% 0.21/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.50 fof(f3,axiom,(
% 0.21/0.50 (! [X] : ~ convergent_lines(X,X) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f9,axiom,(
% 0.21/0.50 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f10,axiom,(
% 0.21/0.50 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f11,axiom,(
% 0.21/0.50 (! [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) ) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f14,axiom,(
% 0.21/0.50 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f36,conjecture,(
% 0.21/0.50 (! [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) ) ) )),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f37,negated_conjecture,(
% 0.21/0.50 ~((! [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) ) ) ))),
% 0.21/0.50 inference(negated_conjecture,[status(cth)],[f36])).
% 0.21/0.50 fof(f40,plain,(
% 0.21/0.50 ![X0]: (~convergent_lines(X0,X0))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.50 fof(f54,plain,(
% 0.21/0.50 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.21/0.50 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.21/0.50 fof(f55,plain,(
% 0.21/0.50 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f54])).
% 0.21/0.50 fof(f56,plain,(
% 0.21/0.50 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.21/0.50 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.21/0.50 fof(f57,plain,(
% 0.21/0.50 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f56])).
% 0.21/0.50 fof(f58,plain,(
% 0.21/0.50 ![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)))),
% 0.21/0.50 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.21/0.50 fof(f59,plain,(
% 0.21/0.50 ![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))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f58])).
% 0.21/0.50 fof(f66,plain,(
% 0.21/0.50 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.21/0.50 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.21/0.50 fof(f67,plain,(
% 0.21/0.50 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f66])).
% 0.21/0.50 fof(f68,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f67])).
% 0.21/0.50 fof(f127,plain,(
% 0.21/0.50 (?[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))))),
% 0.21/0.50 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.21/0.50 fof(f128,plain,(
% 0.21/0.50 ?[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)))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f127])).
% 0.21/0.50 fof(f129,plain,(
% 0.21/0.50 (((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)))),
% 0.21/0.50 inference(skolemization,[status(esa)],[f128])).
% 0.21/0.50 fof(f131,plain,(
% 0.21/0.50 convergent_lines(sk0_1,sk0_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f129])).
% 0.21/0.50 fof(f132,plain,(
% 0.21/0.50 distinct_points(sk0_0,intersection_point(sk0_1,sk0_2))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f129])).
% 0.21/0.50 fof(f133,plain,(
% 0.21/0.50 ~apart_point_and_line(sk0_0,sk0_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f129])).
% 0.21/0.50 fof(f134,plain,(
% 0.21/0.50 ~apart_point_and_line(sk0_0,sk0_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f129])).
% 0.21/0.50 fof(f155,plain,(
% 0.21/0.50 ![X0,X1]: (~distinct_points(sk0_0,X0)|~distinct_lines(sk0_2,X1)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,X1))),
% 0.21/0.50 inference(resolution,[status(thm)],[f59,f134])).
% 0.21/0.50 fof(f169,plain,(
% 0.21/0.50 spl0_2 <=> ~distinct_points(sk0_0,X0)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f170,plain,(
% 0.21/0.50 ![X0]: (~distinct_points(sk0_0,X0)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1)|~spl0_2)),
% 0.21/0.50 inference(component_clause,[status(thm)],[f169])).
% 0.21/0.50 fof(f172,plain,(
% 0.21/0.50 spl0_3 <=> distinct_lines(sk0_2,sk0_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f174,plain,(
% 0.21/0.50 ~distinct_lines(sk0_2,sk0_1)|spl0_3),
% 0.21/0.50 inference(component_clause,[status(thm)],[f172])).
% 0.21/0.50 fof(f175,plain,(
% 0.21/0.50 ![X0]: (~distinct_points(sk0_0,X0)|~distinct_lines(sk0_2,sk0_1)|apart_point_and_line(X0,sk0_2)|apart_point_and_line(X0,sk0_1))),
% 0.21/0.50 inference(resolution,[status(thm)],[f155,f133])).
% 0.21/0.50 fof(f176,plain,(
% 0.21/0.50 spl0_2|~spl0_3),
% 0.21/0.50 inference(split_clause,[status(thm)],[f175,f169,f172])).
% 0.21/0.50 fof(f214,plain,(
% 0.21/0.50 ![X0]: (~distinct_points(sk0_0,intersection_point(X0,sk0_2))|apart_point_and_line(intersection_point(X0,sk0_2),sk0_1)|~convergent_lines(X0,sk0_2)|~spl0_2)),
% 0.21/0.50 inference(resolution,[status(thm)],[f170,f57])).
% 0.21/0.50 fof(f337,plain,(
% 0.21/0.50 spl0_15 <=> convergent_lines(sk0_1,sk0_2)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f339,plain,(
% 0.21/0.50 ~convergent_lines(sk0_1,sk0_2)|spl0_15),
% 0.21/0.50 inference(component_clause,[status(thm)],[f337])).
% 0.21/0.50 fof(f361,plain,(
% 0.21/0.50 $false|spl0_15),
% 0.21/0.50 inference(forward_subsumption_resolution,[status(thm)],[f339,f131])).
% 0.21/0.50 fof(f362,plain,(
% 0.21/0.50 spl0_15),
% 0.21/0.50 inference(contradiction_clause,[status(thm)],[f361])).
% 0.21/0.50 fof(f367,plain,(
% 0.21/0.50 spl0_18 <=> distinct_points(sk0_0,intersection_point(sk0_1,sk0_2))),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f369,plain,(
% 0.21/0.50 ~distinct_points(sk0_0,intersection_point(sk0_1,sk0_2))|spl0_18),
% 0.21/0.50 inference(component_clause,[status(thm)],[f367])).
% 0.21/0.50 fof(f370,plain,(
% 0.21/0.50 ~distinct_points(sk0_0,intersection_point(sk0_1,sk0_2))|~convergent_lines(sk0_1,sk0_2)|~convergent_lines(sk0_1,sk0_2)|~spl0_2),
% 0.21/0.50 inference(resolution,[status(thm)],[f214,f55])).
% 0.21/0.50 fof(f371,plain,(
% 0.21/0.50 ~spl0_18|~spl0_15|~spl0_2),
% 0.21/0.50 inference(split_clause,[status(thm)],[f370,f367,f337,f169])).
% 0.21/0.50 fof(f372,plain,(
% 0.21/0.50 $false|spl0_18),
% 0.21/0.50 inference(forward_subsumption_resolution,[status(thm)],[f369,f132])).
% 0.21/0.50 fof(f373,plain,(
% 0.21/0.50 spl0_18),
% 0.21/0.50 inference(contradiction_clause,[status(thm)],[f372])).
% 0.21/0.50 fof(f506,plain,(
% 0.21/0.50 ![X0]: (~convergent_lines(X0,sk0_2)|convergent_lines(X0,sk0_1)|spl0_3)),
% 0.21/0.50 inference(resolution,[status(thm)],[f68,f174])).
% 0.21/0.50 fof(f631,plain,(
% 0.21/0.50 ~convergent_lines(sk0_1,sk0_2)|spl0_3),
% 0.21/0.50 inference(resolution,[status(thm)],[f506,f40])).
% 0.21/0.50 fof(f632,plain,(
% 0.21/0.50 ~spl0_15|spl0_3),
% 0.21/0.50 inference(split_clause,[status(thm)],[f631,f337,f172])).
% 0.21/0.50 fof(f633,plain,(
% 0.21/0.50 $false),
% 0.21/0.50 inference(sat_refutation,[status(thm)],[f176,f362,f371,f373,f632])).
% 0.21/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.51 % Elapsed time: 0.156178 seconds
% 0.21/0.51 % CPU time: 1.165295 seconds
% 0.21/0.51 % Total memory used: 25.479 MB
% 0.21/0.51 % Net memory used: 24.676 MB
%------------------------------------------------------------------------------