TSTP Solution File: GEO188+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:08:08 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 11:59:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (! [X] : ~ distinct_points(X,X) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,axiom,(
% 0.13/0.37 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,axiom,(
% 0.13/0.37 (! [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) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,axiom,(
% 0.13/0.37 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f13,conjecture,(
% 0.13/0.37 (! [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(X,line_connecting(Z,Y)) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f14,negated_conjecture,(
% 0.13/0.37 ~((! [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(X,line_connecting(Z,Y)) ) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 ![X0]: (~distinct_points(X0,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f18])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![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)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![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))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 (?[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(X,line_connecting(Z,Y))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 ((((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_0,line_connecting(sk0_2,sk0_1)))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f45])).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 distinct_points(sk0_0,sk0_1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 distinct_points(sk0_1,sk0_2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f54,plain,(
% 0.13/0.37 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f29,f15])).
% 0.13/0.37 fof(f56,plain,(
% 0.13/0.37 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f30,f15])).
% 0.13/0.37 fof(f63,plain,(
% 0.13/0.37 ![X0]: (distinct_lines(line_connecting(sk0_2,sk0_1),X0)|apart_point_and_line(sk0_0,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f42,f51])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X0,X2)|apart_point_and_line(X1,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X1,X2)|apart_point_and_line(sk0_0,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f36,f63])).
% 0.13/0.37 fof(f81,plain,(
% 0.13/0.37 spl0_0 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X0,X1)|apart_point_and_line(sk0_1,X1)|apart_point_and_line(sk0_0,X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f82,plain,(
% 0.13/0.37 ![X0,X1]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X0,X1)|apart_point_and_line(sk0_1,X1)|apart_point_and_line(sk0_0,X1)|~spl0_0)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 spl0_1 <=> distinct_points(sk0_2,sk0_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ~distinct_points(sk0_2,sk0_1)|spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 ![X0,X1]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_1))|apart_point_and_line(X0,X1)|apart_point_and_line(sk0_1,X1)|apart_point_and_line(sk0_0,X1)|~distinct_points(sk0_2,sk0_1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f78,f56])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 spl0_0|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f87,f81,f84])).
% 0.13/0.37 fof(f120,plain,(
% 0.13/0.37 ![X0]: (~distinct_points(X0,sk0_2)|distinct_points(X0,sk0_1)|spl0_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f86,f20])).
% 0.13/0.37 fof(f122,plain,(
% 0.13/0.37 ~distinct_points(sk0_1,sk0_2)|spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f120,f15])).
% 0.13/0.37 fof(f123,plain,(
% 0.13/0.37 $false|spl0_1),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f122,f49])).
% 0.13/0.37 fof(f124,plain,(
% 0.13/0.37 spl0_1),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f123])).
% 0.13/0.37 fof(f133,plain,(
% 0.13/0.37 spl0_9 <=> apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f134,plain,(
% 0.13/0.37 ![X0]: (apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|~spl0_9)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.37 fof(f136,plain,(
% 0.13/0.37 ![X0]: (~distinct_points(sk0_2,sk0_1)|apart_point_and_line(sk0_2,X0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|~distinct_points(sk0_2,sk0_1)|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f82,f54])).
% 0.13/0.37 fof(f137,plain,(
% 0.13/0.37 ~spl0_1|spl0_9|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f136,f84,f133,f81])).
% 0.13/0.37 fof(f142,plain,(
% 0.13/0.37 spl0_11 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f143,plain,(
% 0.13/0.37 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_11),
% 0.13/0.37 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.39 fof(f175,plain,(
% 0.13/0.39 ![X0]: (apart_point_and_line(sk0_2,line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)|~spl0_9)),
% 0.13/0.39 inference(resolution,[status(thm)],[f134,f56])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 ~distinct_points(sk0_0,sk0_1)|~spl0_11),
% 0.13/0.39 inference(resolution,[status(thm)],[f143,f54])).
% 0.13/0.39 fof(f196,plain,(
% 0.13/0.39 $false|~spl0_11),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f195,f47])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ~spl0_11),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f196])).
% 0.13/0.39 fof(f206,plain,(
% 0.13/0.39 spl0_20 <=> distinct_points(sk0_0,sk0_1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f208,plain,(
% 0.13/0.39 ~distinct_points(sk0_0,sk0_1)|spl0_20),
% 0.13/0.39 inference(component_clause,[status(thm)],[f206])).
% 0.13/0.39 fof(f209,plain,(
% 0.13/0.39 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_1)|~spl0_9),
% 0.13/0.39 inference(resolution,[status(thm)],[f175,f50])).
% 0.13/0.39 fof(f210,plain,(
% 0.13/0.39 spl0_11|~spl0_20|~spl0_9),
% 0.13/0.39 inference(split_clause,[status(thm)],[f209,f142,f206,f133])).
% 0.13/0.39 fof(f244,plain,(
% 0.13/0.39 $false|spl0_20),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f208,f47])).
% 0.13/0.39 fof(f245,plain,(
% 0.13/0.39 spl0_20),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f244])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f88,f124,f137,f197,f210,f245])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42 % Elapsed time: 0.068683 seconds
% 0.20/0.42 % CPU time: 0.032845 seconds
% 0.20/0.42 % Memory used: 629.372 KB
%------------------------------------------------------------------------------