TSTP Solution File: GEO190+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:08:10 EDT 2023
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:57:01 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.13/0.32 % Drodi V3.5.1
% 0.13/0.33 % Refutation found
% 0.13/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.33 fof(f1,axiom,(
% 0.13/0.33 (! [X] : ~ distinct_points(X,X) )),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.33 fof(f4,axiom,(
% 0.13/0.33 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.33 fof(f7,axiom,(
% 0.13/0.33 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.33 fof(f9,axiom,(
% 0.13/0.33 (! [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) ) ) )),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.33 fof(f11,axiom,(
% 0.13/0.33 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.33 fof(f13,conjecture,(
% 0.13/0.33 (! [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(Z,line_connecting(Y,X)) ) )),
% 0.13/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.33 fof(f14,negated_conjecture,(
% 0.13/0.33 ~((! [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(Z,line_connecting(Y,X)) ) ))),
% 0.13/0.33 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.33 fof(f15,plain,(
% 0.13/0.33 ![X0]: (~distinct_points(X0,X0))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.33 fof(f18,plain,(
% 0.13/0.33 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.13/0.33 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.33 fof(f19,plain,(
% 0.13/0.33 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.13/0.33 inference(miniscoping,[status(esa)],[f18])).
% 0.13/0.33 fof(f20,plain,(
% 0.13/0.33 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.33 fof(f27,plain,(
% 0.13/0.33 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.13/0.33 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.33 fof(f28,plain,(
% 0.13/0.33 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.13/0.33 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.33 fof(f29,plain,(
% 0.13/0.33 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.33 fof(f30,plain,(
% 0.13/0.33 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.33 fof(f35,plain,(
% 0.13/0.33 ![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)))),
% 0.13/0.33 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.33 fof(f36,plain,(
% 0.13/0.33 ![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))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.33 fof(f40,plain,(
% 0.13/0.33 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.13/0.33 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.33 fof(f41,plain,(
% 0.13/0.33 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.13/0.33 inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.33 fof(f42,plain,(
% 0.13/0.33 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.33 fof(f45,plain,(
% 0.13/0.33 (?[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(Z,line_connecting(Y,X))))),
% 0.13/0.33 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.33 fof(f46,plain,(
% 0.13/0.33 ((((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_2,line_connecting(sk0_1,sk0_0)))),
% 0.13/0.33 inference(skolemization,[status(esa)],[f45])).
% 0.13/0.33 fof(f47,plain,(
% 0.13/0.33 distinct_points(sk0_0,sk0_1)),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.33 fof(f50,plain,(
% 0.13/0.33 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.33 fof(f51,plain,(
% 0.13/0.33 apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))),
% 0.13/0.33 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.33 fof(f54,plain,(
% 0.13/0.33 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.13/0.33 inference(resolution,[status(thm)],[f29,f15])).
% 0.13/0.33 fof(f56,plain,(
% 0.13/0.33 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.13/0.33 inference(resolution,[status(thm)],[f30,f15])).
% 0.13/0.33 fof(f63,plain,(
% 0.13/0.33 ![X0]: (distinct_lines(line_connecting(sk0_1,sk0_0),X0)|apart_point_and_line(sk0_2,X0))),
% 0.13/0.33 inference(resolution,[status(thm)],[f42,f51])).
% 0.13/0.33 fof(f78,plain,(
% 0.13/0.33 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,X2)|apart_point_and_line(X1,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X1,X2)|apart_point_and_line(sk0_2,X2))),
% 0.13/0.33 inference(resolution,[status(thm)],[f36,f63])).
% 0.13/0.33 fof(f81,plain,(
% 0.13/0.33 spl0_0 <=> ~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,X1)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_2,X1)),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f82,plain,(
% 0.13/0.33 ![X0,X1]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,X1)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_2,X1)|~spl0_0)),
% 0.13/0.33 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.33 fof(f84,plain,(
% 0.13/0.33 spl0_1 <=> distinct_points(sk0_1,sk0_0)),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f86,plain,(
% 0.13/0.33 ~distinct_points(sk0_1,sk0_0)|spl0_1),
% 0.13/0.33 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.33 fof(f87,plain,(
% 0.13/0.33 ![X0,X1]: (~distinct_points(X0,sk0_0)|apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(X0,X1)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_2,X1)|~distinct_points(sk0_1,sk0_0))),
% 0.13/0.33 inference(resolution,[status(thm)],[f78,f56])).
% 0.13/0.33 fof(f88,plain,(
% 0.13/0.33 spl0_0|~spl0_1),
% 0.13/0.33 inference(split_clause,[status(thm)],[f87,f81,f84])).
% 0.13/0.33 fof(f120,plain,(
% 0.13/0.33 ![X0]: (~distinct_points(X0,sk0_1)|distinct_points(X0,sk0_0)|spl0_1)),
% 0.13/0.33 inference(resolution,[status(thm)],[f86,f20])).
% 0.13/0.33 fof(f122,plain,(
% 0.13/0.33 ~distinct_points(sk0_0,sk0_1)|spl0_1),
% 0.13/0.33 inference(resolution,[status(thm)],[f120,f15])).
% 0.13/0.33 fof(f123,plain,(
% 0.13/0.33 $false|spl0_1),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f122,f47])).
% 0.13/0.33 fof(f124,plain,(
% 0.13/0.33 spl0_1),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f123])).
% 0.13/0.33 fof(f133,plain,(
% 0.13/0.33 spl0_9 <=> apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f134,plain,(
% 0.13/0.33 ![X0]: (apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)|~spl0_9)),
% 0.13/0.33 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.33 fof(f136,plain,(
% 0.13/0.33 ![X0]: (~distinct_points(sk0_1,sk0_0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_2,X0)|~distinct_points(sk0_1,sk0_0)|~spl0_0)),
% 0.13/0.33 inference(resolution,[status(thm)],[f82,f54])).
% 0.13/0.33 fof(f137,plain,(
% 0.13/0.33 ~spl0_1|spl0_9|~spl0_0),
% 0.13/0.33 inference(split_clause,[status(thm)],[f136,f84,f133,f81])).
% 0.13/0.33 fof(f139,plain,(
% 0.13/0.33 spl0_10 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f140,plain,(
% 0.13/0.33 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_10),
% 0.13/0.33 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.33 fof(f175,plain,(
% 0.13/0.33 ![X0]: (apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|apart_point_and_line(sk0_2,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)|~spl0_9)),
% 0.13/0.34 inference(resolution,[status(thm)],[f134,f56])).
% 0.13/0.34 fof(f180,plain,(
% 0.13/0.34 spl0_18 <=> distinct_points(sk0_0,sk0_1)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f182,plain,(
% 0.13/0.34 ~distinct_points(sk0_0,sk0_1)|spl0_18),
% 0.13/0.34 inference(component_clause,[status(thm)],[f180])).
% 0.13/0.34 fof(f200,plain,(
% 0.13/0.34 ~distinct_points(sk0_0,sk0_1)|~spl0_10),
% 0.13/0.34 inference(resolution,[status(thm)],[f140,f54])).
% 0.13/0.34 fof(f201,plain,(
% 0.13/0.34 $false|~spl0_10),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f200,f47])).
% 0.13/0.34 fof(f202,plain,(
% 0.13/0.34 ~spl0_10),
% 0.13/0.34 inference(contradiction_clause,[status(thm)],[f201])).
% 0.13/0.34 fof(f209,plain,(
% 0.13/0.34 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_1)|~spl0_9),
% 0.13/0.34 inference(resolution,[status(thm)],[f175,f50])).
% 0.13/0.34 fof(f210,plain,(
% 0.13/0.34 spl0_10|~spl0_18|~spl0_9),
% 0.13/0.34 inference(split_clause,[status(thm)],[f209,f139,f180,f133])).
% 0.13/0.34 fof(f250,plain,(
% 0.13/0.34 $false|spl0_18),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f182,f47])).
% 0.13/0.34 fof(f251,plain,(
% 0.13/0.34 spl0_18),
% 0.13/0.34 inference(contradiction_clause,[status(thm)],[f250])).
% 0.13/0.34 fof(f252,plain,(
% 0.13/0.34 $false),
% 0.13/0.34 inference(sat_refutation,[status(thm)],[f88,f124,f137,f202,f210,f251])).
% 0.13/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.55 % Elapsed time: 0.025017 seconds
% 0.13/0.55 % CPU time: 0.017802 seconds
% 0.13/0.55 % Memory used: 628.843 KB
%------------------------------------------------------------------------------