TSTP Solution File: GEO187+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:17:23 EDT 2024
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO187+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 : n007.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 01:31:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (! [X] : ~ distinct_points(X,X) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (! [X] : ~ distinct_lines(X,X) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f4,axiom,(
% 0.13/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f5,axiom,(
% 0.13/0.41 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,axiom,(
% 0.13/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,axiom,(
% 0.13/0.41 (! [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) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f11,axiom,(
% 0.13/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f13,conjecture,(
% 0.13/0.41 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_points(U,V)& ~ apart_point_and_line(X,line_connecting(U,V))& ~ apart_point_and_line(Y,line_connecting(U,V)) )=> ( ~ apart_point_and_line(U,line_connecting(X,Y))& ~ apart_point_and_line(V,line_connecting(X,Y)) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f14,negated_conjecture,(
% 0.13/0.41 ~((! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_points(U,V)& ~ apart_point_and_line(X,line_connecting(U,V))& ~ apart_point_and_line(Y,line_connecting(U,V)) )=> ( ~ apart_point_and_line(U,line_connecting(X,Y))& ~ apart_point_and_line(V,line_connecting(X,Y)) ) ) ))),
% 0.13/0.41 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.41 fof(f15,plain,(
% 0.13/0.41 ![X0]: (~distinct_points(X0,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.41 fof(f16,plain,(
% 0.13/0.41 ![X0]: (~distinct_lines(X0,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.41 fof(f18,plain,(
% 0.13/0.41 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.41 fof(f19,plain,(
% 0.13/0.41 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.13/0.41 inference(miniscoping,[status(esa)],[f18])).
% 0.13/0.41 fof(f20,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.41 fof(f21,plain,(
% 0.13/0.41 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.41 fof(f22,plain,(
% 0.13/0.41 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.13/0.41 inference(miniscoping,[status(esa)],[f21])).
% 0.13/0.41 fof(f23,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.41 fof(f27,plain,(
% 0.13/0.41 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.41 fof(f28,plain,(
% 0.13/0.41 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.13/0.41 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.41 fof(f29,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.41 fof(f30,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.41 fof(f35,plain,(
% 0.13/0.41 ![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)))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.41 fof(f36,plain,(
% 0.13/0.41 ![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))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.41 fof(f40,plain,(
% 0.13/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.13/0.41 fof(f41,plain,(
% 0.13/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.13/0.41 inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.41 fof(f42,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.41 fof(f45,plain,(
% 0.13/0.41 (?[X,Y,U,V]: ((((distinct_points(X,Y)&distinct_points(U,V))&~apart_point_and_line(X,line_connecting(U,V)))&~apart_point_and_line(Y,line_connecting(U,V)))&(apart_point_and_line(U,line_connecting(X,Y))|apart_point_and_line(V,line_connecting(X,Y)))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.41 fof(f46,plain,(
% 0.13/0.41 ((((distinct_points(sk0_0,sk0_1)&distinct_points(sk0_2,sk0_3))&~apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3)))&~apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3)))&(apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))))),
% 0.13/0.41 inference(skolemization,[status(esa)],[f45])).
% 0.13/0.41 fof(f47,plain,(
% 0.13/0.41 distinct_points(sk0_0,sk0_1)),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.41 fof(f48,plain,(
% 0.13/0.41 distinct_points(sk0_2,sk0_3)),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.41 fof(f49,plain,(
% 0.13/0.41 ~apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.41 fof(f50,plain,(
% 0.13/0.41 ~apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.41 fof(f51,plain,(
% 0.13/0.41 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 0.13/0.41 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.41 fof(f52,plain,(
% 0.13/0.41 spl0_0 <=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f55,plain,(
% 0.13/0.41 spl0_1 <=> apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f58,plain,(
% 0.13/0.41 spl0_0|spl0_1),
% 0.13/0.41 inference(split_clause,[status(thm)],[f51,f52,f55])).
% 0.13/0.41 fof(f59,plain,(
% 0.13/0.41 ![X0,X1]: (~distinct_points(X0,X1)|distinct_points(X1,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f20,f15])).
% 0.13/0.41 fof(f61,plain,(
% 0.13/0.41 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f29,f15])).
% 0.13/0.41 fof(f62,plain,(
% 0.13/0.41 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f30,f15])).
% 0.13/0.41 fof(f64,plain,(
% 0.13/0.41 ![X0,X1]: (~distinct_lines(X0,X1)|distinct_lines(X1,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f23,f16])).
% 0.13/0.41 fof(f70,plain,(
% 0.13/0.41 ![X0,X1]: (~distinct_points(sk0_1,X0)|~distinct_lines(line_connecting(sk0_2,sk0_3),X1)|apart_point_and_line(sk0_1,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,X1))),
% 0.13/0.41 inference(resolution,[status(thm)],[f36,f50])).
% 0.13/0.41 fof(f136,plain,(
% 0.13/0.41 ![X0,X1]: (~distinct_points(sk0_1,X0)|~distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(X1,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(X1,sk0_1))|~distinct_points(X1,sk0_1))),
% 0.13/0.41 inference(resolution,[status(thm)],[f70,f62])).
% 0.13/0.41 fof(f197,plain,(
% 0.13/0.41 spl0_11 <=> distinct_points(sk0_1,sk0_0)),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f199,plain,(
% 0.13/0.41 ~distinct_points(sk0_1,sk0_0)|spl0_11),
% 0.13/0.41 inference(component_clause,[status(thm)],[f197])).
% 0.13/0.41 fof(f200,plain,(
% 0.13/0.41 spl0_12 <=> ~distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f201,plain,(
% 0.13/0.42 ![X0]: (~distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1)|~spl0_12)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f200])).
% 0.13/0.42 fof(f203,plain,(
% 0.13/0.42 ![X0]: (~distinct_points(sk0_1,sk0_0)|~distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(X0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(X0,sk0_1))|~distinct_points(X0,sk0_1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f136,f49])).
% 0.13/0.42 fof(f204,plain,(
% 0.13/0.42 ~spl0_11|spl0_12),
% 0.13/0.42 inference(split_clause,[status(thm)],[f203,f197,f200])).
% 0.13/0.42 fof(f211,plain,(
% 0.13/0.42 spl0_15 <=> distinct_points(sk0_2,sk0_3)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f213,plain,(
% 0.13/0.42 ~distinct_points(sk0_2,sk0_3)|spl0_15),
% 0.13/0.42 inference(component_clause,[status(thm)],[f211])).
% 0.13/0.42 fof(f227,plain,(
% 0.13/0.42 ~distinct_points(sk0_0,sk0_1)|spl0_11),
% 0.13/0.42 inference(resolution,[status(thm)],[f199,f59])).
% 0.13/0.42 fof(f228,plain,(
% 0.13/0.42 $false|spl0_11),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f227,f47])).
% 0.13/0.42 fof(f229,plain,(
% 0.13/0.42 spl0_11),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f228])).
% 0.13/0.42 fof(f258,plain,(
% 0.13/0.42 spl0_18 <=> distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(sk0_0,sk0_1))),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f260,plain,(
% 0.13/0.42 ~distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(sk0_0,sk0_1))|spl0_18),
% 0.13/0.42 inference(component_clause,[status(thm)],[f258])).
% 0.13/0.42 fof(f261,plain,(
% 0.13/0.42 spl0_19 <=> distinct_points(sk0_0,sk0_1)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f263,plain,(
% 0.13/0.42 ~distinct_points(sk0_0,sk0_1)|spl0_19),
% 0.13/0.42 inference(component_clause,[status(thm)],[f261])).
% 0.13/0.42 fof(f264,plain,(
% 0.13/0.42 ~distinct_lines(line_connecting(sk0_2,sk0_3),line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_0,sk0_1)|~distinct_points(sk0_0,sk0_1)|~spl0_12),
% 0.13/0.42 inference(resolution,[status(thm)],[f201,f61])).
% 0.13/0.42 fof(f265,plain,(
% 0.13/0.42 ~spl0_18|~spl0_19|~spl0_12),
% 0.13/0.42 inference(split_clause,[status(thm)],[f264,f258,f261,f200])).
% 0.13/0.42 fof(f266,plain,(
% 0.13/0.42 $false|spl0_19),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f263,f47])).
% 0.13/0.42 fof(f267,plain,(
% 0.13/0.42 spl0_19),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f266])).
% 0.13/0.42 fof(f280,plain,(
% 0.13/0.42 $false|spl0_15),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f213,f48])).
% 0.13/0.42 fof(f281,plain,(
% 0.13/0.42 spl0_15),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f280])).
% 0.13/0.42 fof(f283,plain,(
% 0.13/0.42 ~distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_2,sk0_3))|spl0_18),
% 0.13/0.42 inference(resolution,[status(thm)],[f260,f64])).
% 0.13/0.42 fof(f286,plain,(
% 0.13/0.42 ![X0]: (~apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|spl0_18)),
% 0.13/0.42 inference(resolution,[status(thm)],[f283,f42])).
% 0.13/0.42 fof(f314,plain,(
% 0.13/0.42 ~apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_2,sk0_3)|spl0_18),
% 0.13/0.42 inference(resolution,[status(thm)],[f286,f62])).
% 0.13/0.42 fof(f315,plain,(
% 0.13/0.42 ~spl0_1|~spl0_15|spl0_18),
% 0.13/0.42 inference(split_clause,[status(thm)],[f314,f55,f211,f258])).
% 0.13/0.42 fof(f316,plain,(
% 0.13/0.42 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_2,sk0_3)|spl0_18),
% 0.13/0.42 inference(resolution,[status(thm)],[f286,f61])).
% 0.13/0.42 fof(f317,plain,(
% 0.13/0.42 ~spl0_0|~spl0_15|spl0_18),
% 0.13/0.42 inference(split_clause,[status(thm)],[f316,f52,f211,f258])).
% 0.13/0.42 fof(f318,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f58,f204,f229,f265,f267,f281,f315,f317])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42 % Elapsed time: 0.066276 seconds
% 0.20/0.42 % CPU time: 0.443798 seconds
% 0.20/0.42 % Total memory used: 12.658 MB
% 0.20/0.42 % Net memory used: 12.273 MB
%------------------------------------------------------------------------------