TSTP Solution File: GEO187+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 0.15s 0.58s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:00:10 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.15/0.58 % Refutation found
% 0.15/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.58 fof(f1,axiom,(
% 0.15/0.58 (! [X] : ~ distinct_points(X,X) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f7,axiom,(
% 0.15/0.58 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f8,axiom,(
% 0.15/0.58 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f11,axiom,(
% 0.15/0.58 (! [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) ) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f13,axiom,(
% 0.15/0.58 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f15,conjecture,(
% 0.15/0.58 (! [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)) ) ) )),
% 0.15/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f16,negated_conjecture,(
% 0.15/0.58 ~((! [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)) ) ) ))),
% 0.15/0.58 inference(negated_conjecture,[status(cth)],[f15])).
% 0.15/0.58 fof(f17,plain,(
% 0.15/0.58 ![X0]: (~distinct_points(X0,X0))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.58 fof(f29,plain,(
% 0.15/0.58 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.15/0.58 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.58 fof(f30,plain,(
% 0.15/0.58 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f29])).
% 0.15/0.58 fof(f31,plain,(
% 0.15/0.58 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.15/0.58 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.15/0.58 fof(f32,plain,(
% 0.15/0.58 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.58 fof(f37,plain,(
% 0.15/0.58 ![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)))),
% 0.15/0.58 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.15/0.58 fof(f38,plain,(
% 0.15/0.58 ![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))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.58 fof(f42,plain,(
% 0.15/0.58 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.15/0.58 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.15/0.58 fof(f43,plain,(
% 0.15/0.58 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.15/0.58 inference(miniscoping,[status(esa)],[f42])).
% 0.15/0.58 fof(f44,plain,(
% 0.15/0.58 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f43])).
% 0.15/0.58 fof(f48,plain,(
% 0.15/0.58 (?[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)))))),
% 0.15/0.58 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.15/0.58 fof(f49,plain,(
% 0.15/0.58 ((((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))))),
% 0.15/0.58 inference(skolemization,[status(esa)],[f48])).
% 0.15/0.58 fof(f50,plain,(
% 0.15/0.58 distinct_points(sk0_0,sk0_1)),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.58 fof(f51,plain,(
% 0.15/0.58 distinct_points(sk0_2,sk0_3)),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.58 fof(f52,plain,(
% 0.15/0.58 ~apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.58 fof(f53,plain,(
% 0.15/0.58 ~apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.58 fof(f54,plain,(
% 0.15/0.58 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 0.15/0.58 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.58 fof(f55,plain,(
% 0.15/0.58 spl0_0 <=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f56,plain,(
% 0.15/0.58 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_0),
% 0.15/0.58 inference(component_clause,[status(thm)],[f55])).
% 0.15/0.58 fof(f58,plain,(
% 0.15/0.58 spl0_1 <=> apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f59,plain,(
% 0.15/0.58 apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))|~spl0_1),
% 0.15/0.58 inference(component_clause,[status(thm)],[f58])).
% 0.15/0.58 fof(f61,plain,(
% 0.15/0.58 spl0_0|spl0_1),
% 0.15/0.58 inference(split_clause,[status(thm)],[f54,f55,f58])).
% 0.15/0.58 fof(f62,plain,(
% 0.15/0.58 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_1),X0)|apart_point_and_line(sk0_2,X0)|~spl0_0)),
% 0.15/0.58 inference(resolution,[status(thm)],[f56,f44])).
% 0.15/0.58 fof(f66,plain,(
% 0.15/0.58 ![X0,X1,X2]: (apart_point_and_line(sk0_2,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X2,X0)|~spl0_0)),
% 0.15/0.58 inference(resolution,[status(thm)],[f62,f38])).
% 0.15/0.58 fof(f99,plain,(
% 0.15/0.58 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,X2))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,X2))|~distinct_points(sk0_2,X2)|~spl0_0)),
% 0.15/0.58 inference(resolution,[status(thm)],[f66,f30])).
% 0.15/0.58 fof(f111,plain,(
% 0.15/0.58 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|~spl0_0)),
% 0.15/0.58 inference(resolution,[status(thm)],[f99,f51])).
% 0.15/0.58 fof(f125,plain,(
% 0.15/0.58 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_1),X0)|apart_point_and_line(sk0_3,X0)|~spl0_1)),
% 0.15/0.58 inference(resolution,[status(thm)],[f59,f44])).
% 0.15/0.58 fof(f129,plain,(
% 0.15/0.58 ![X0,X1,X2]: (apart_point_and_line(sk0_3,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X2,X0)|~spl0_1)),
% 0.15/0.58 inference(resolution,[status(thm)],[f125,f38])).
% 0.15/0.58 fof(f161,plain,(
% 0.15/0.58 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(X2,sk0_3))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(X2,sk0_3))|~distinct_points(X2,sk0_3)|~spl0_1)),
% 0.15/0.58 inference(resolution,[status(thm)],[f129,f32])).
% 0.15/0.58 fof(f173,plain,(
% 0.15/0.58 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|~spl0_1)),
% 0.15/0.58 inference(resolution,[status(thm)],[f161,f51])).
% 0.15/0.58 fof(f274,plain,(
% 0.15/0.58 spl0_10 <=> distinct_points(sk0_0,sk0_1)),
% 0.15/0.58 introduced(split_symbol_definition)).
% 0.15/0.58 fof(f276,plain,(
% 0.15/0.58 ~distinct_points(sk0_0,sk0_1)|spl0_10),
% 0.15/0.58 inference(component_clause,[status(thm)],[f274])).
% 0.15/0.58 fof(f302,plain,(
% 0.15/0.58 $false|spl0_10),
% 0.15/0.58 inference(forward_subsumption_resolution,[status(thm)],[f276,f50])).
% 0.15/0.58 fof(f303,plain,(
% 0.15/0.58 spl0_10),
% 0.15/0.58 inference(contradiction_clause,[status(thm)],[f302])).
% 0.15/0.58 fof(f525,plain,(
% 0.15/0.58 spl0_22 <=> ~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f526,plain,(
% 0.15/0.59 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|~spl0_22)),
% 0.15/0.59 inference(component_clause,[status(thm)],[f525])).
% 0.15/0.59 fof(f528,plain,(
% 0.15/0.59 spl0_23 <=> apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f529,plain,(
% 0.15/0.59 apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))|~spl0_23),
% 0.15/0.59 inference(component_clause,[status(thm)],[f528])).
% 0.15/0.59 fof(f531,plain,(
% 0.15/0.59 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))|~distinct_points(sk0_0,sk0_1)|~spl0_0)),
% 0.15/0.59 inference(resolution,[status(thm)],[f111,f32])).
% 0.15/0.59 fof(f532,plain,(
% 0.15/0.59 spl0_22|spl0_23|~spl0_10|~spl0_0),
% 0.15/0.59 inference(split_clause,[status(thm)],[f531,f525,f528,f274,f55])).
% 0.15/0.59 fof(f536,plain,(
% 0.15/0.59 spl0_25 <=> apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f537,plain,(
% 0.15/0.59 apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|~spl0_25),
% 0.15/0.59 inference(component_clause,[status(thm)],[f536])).
% 0.15/0.59 fof(f543,plain,(
% 0.15/0.59 spl0_26 <=> apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_3))),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f544,plain,(
% 0.15/0.59 apart_point_and_line(sk0_2,line_connecting(sk0_2,sk0_3))|~spl0_26),
% 0.15/0.59 inference(component_clause,[status(thm)],[f543])).
% 0.15/0.59 fof(f576,plain,(
% 0.15/0.59 spl0_31 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f577,plain,(
% 0.15/0.59 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_31),
% 0.15/0.59 inference(component_clause,[status(thm)],[f576])).
% 0.15/0.59 fof(f579,plain,(
% 0.15/0.59 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|~spl0_22),
% 0.15/0.59 inference(resolution,[status(thm)],[f526,f50])).
% 0.15/0.59 fof(f580,plain,(
% 0.15/0.59 spl0_31|spl0_25|~spl0_22),
% 0.15/0.59 inference(split_clause,[status(thm)],[f579,f576,f536,f525])).
% 0.15/0.59 fof(f582,plain,(
% 0.15/0.59 $false|~spl0_25),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f537,f52])).
% 0.15/0.59 fof(f583,plain,(
% 0.15/0.59 ~spl0_25),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f582])).
% 0.15/0.59 fof(f584,plain,(
% 0.15/0.59 $false|~spl0_23),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f529,f53])).
% 0.15/0.59 fof(f585,plain,(
% 0.15/0.59 ~spl0_23),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f584])).
% 0.15/0.59 fof(f586,plain,(
% 0.15/0.59 ~distinct_points(sk0_0,sk0_1)|~spl0_31),
% 0.15/0.59 inference(resolution,[status(thm)],[f577,f30])).
% 0.15/0.59 fof(f587,plain,(
% 0.15/0.59 ~spl0_10|~spl0_31),
% 0.15/0.59 inference(split_clause,[status(thm)],[f586,f274,f576])).
% 0.15/0.59 fof(f596,plain,(
% 0.15/0.59 spl0_33 <=> distinct_points(sk0_1,sk0_1)),
% 0.15/0.59 introduced(split_symbol_definition)).
% 0.15/0.59 fof(f597,plain,(
% 0.15/0.59 distinct_points(sk0_1,sk0_1)|~spl0_33),
% 0.15/0.59 inference(component_clause,[status(thm)],[f596])).
% 0.15/0.59 fof(f602,plain,(
% 0.15/0.59 $false|~spl0_33),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f597,f17])).
% 0.15/0.59 fof(f603,plain,(
% 0.15/0.59 ~spl0_33),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f602])).
% 0.15/0.59 fof(f618,plain,(
% 0.15/0.59 ~distinct_points(sk0_2,sk0_3)|~spl0_26),
% 0.15/0.59 inference(resolution,[status(thm)],[f544,f30])).
% 0.15/0.59 fof(f619,plain,(
% 0.15/0.59 $false|~spl0_26),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f618,f51])).
% 0.15/0.59 fof(f620,plain,(
% 0.15/0.59 ~spl0_26),
% 0.15/0.59 inference(contradiction_clause,[status(thm)],[f619])).
% 0.15/0.59 fof(f935,plain,(
% 0.15/0.59 ![X0]: (~distinct_points(X0,sk0_1)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))|~distinct_points(sk0_0,sk0_1)|~spl0_1)),
% 0.15/0.59 inference(resolution,[status(thm)],[f173,f32])).
% 0.15/0.59 fof(f936,plain,(
% 0.15/0.59 spl0_22|spl0_23|~spl0_10|~spl0_1),
% 0.15/0.59 inference(split_clause,[status(thm)],[f935,f525,f528,f274,f58])).
% 0.15/0.59 fof(f941,plain,(
% 0.15/0.59 $false),
% 0.15/0.59 inference(sat_refutation,[status(thm)],[f61,f303,f532,f580,f583,f585,f587,f603,f620,f936])).
% 0.15/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.95/0.60 % Elapsed time: 0.294960 seconds
% 1.95/0.60 % CPU time: 1.972456 seconds
% 1.95/0.60 % Memory used: 17.072 MB
%------------------------------------------------------------------------------