TSTP Solution File: GEO177+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:08:03 EDT 2023
% Result : Theorem 2.34s 0.65s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 12:19:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 2.34/0.65 % Refutation found
% 2.34/0.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.34/0.65 % SZS output start CNFRefutation for theBenchmark
% 2.34/0.65 fof(f1,axiom,(
% 2.34/0.65 (! [X] : ~ distinct_points(X,X) )),
% 2.34/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.34/0.65 fof(f4,axiom,(
% 2.34/0.65 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 2.34/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.34/0.65 fof(f7,axiom,(
% 2.34/0.65 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 2.34/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.34/0.65 fof(f9,axiom,(
% 2.34/0.65 (! [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) ) ) )),
% 2.34/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.34/0.65 fof(f11,axiom,(
% 2.34/0.65 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 2.34/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.34/0.65 fof(f13,conjecture,(
% 2.34/0.65 (! [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)) ) ) ) )),
% 2.34/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.34/0.65 fof(f14,negated_conjecture,(
% 2.34/0.65 ~((! [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)) ) ) ) ))),
% 2.34/0.65 inference(negated_conjecture,[status(cth)],[f13])).
% 2.34/0.65 fof(f15,plain,(
% 2.34/0.65 ![X0]: (~distinct_points(X0,X0))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f1])).
% 2.34/0.65 fof(f18,plain,(
% 2.34/0.65 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 2.34/0.65 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 2.34/0.65 fof(f19,plain,(
% 2.34/0.65 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 2.34/0.65 inference(miniscoping,[status(esa)],[f18])).
% 2.34/0.65 fof(f20,plain,(
% 2.34/0.65 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f19])).
% 2.34/0.65 fof(f27,plain,(
% 2.34/0.65 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 2.34/0.65 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.34/0.65 fof(f28,plain,(
% 2.34/0.65 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 2.34/0.65 inference(miniscoping,[status(esa)],[f27])).
% 2.34/0.65 fof(f29,plain,(
% 2.34/0.65 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f28])).
% 2.34/0.65 fof(f30,plain,(
% 2.34/0.65 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f28])).
% 2.34/0.65 fof(f35,plain,(
% 2.34/0.65 ![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)))),
% 2.34/0.65 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.34/0.65 fof(f36,plain,(
% 2.34/0.65 ![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))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f35])).
% 2.34/0.65 fof(f40,plain,(
% 2.34/0.65 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 2.34/0.65 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 2.34/0.65 fof(f41,plain,(
% 2.34/0.65 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 2.34/0.65 inference(miniscoping,[status(esa)],[f40])).
% 2.34/0.65 fof(f42,plain,(
% 2.34/0.65 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f41])).
% 2.34/0.65 fof(f45,plain,(
% 2.34/0.65 (?[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))))))),
% 2.34/0.65 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.34/0.65 fof(f46,plain,(
% 2.34/0.65 ((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)))))),
% 2.34/0.65 inference(skolemization,[status(esa)],[f45])).
% 2.34/0.65 fof(f47,plain,(
% 2.34/0.65 distinct_points(sk0_0,sk0_1)),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f46])).
% 2.34/0.65 fof(f48,plain,(
% 2.34/0.65 distinct_points(sk0_2,sk0_3)),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f46])).
% 2.34/0.65 fof(f49,plain,(
% 2.34/0.65 apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f46])).
% 2.34/0.65 fof(f50,plain,(
% 2.34/0.65 ~apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f46])).
% 2.34/0.65 fof(f51,plain,(
% 2.34/0.65 ~apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 2.34/0.65 inference(cnf_transformation,[status(esa)],[f46])).
% 2.34/0.65 fof(f52,plain,(
% 2.34/0.65 spl0_0 <=> apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f53,plain,(
% 2.34/0.65 apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))|~spl0_0),
% 2.34/0.65 inference(component_clause,[status(thm)],[f52])).
% 2.34/0.65 fof(f55,plain,(
% 2.34/0.65 spl0_1 <=> apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f56,plain,(
% 2.34/0.65 apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))|~spl0_1),
% 2.34/0.65 inference(component_clause,[status(thm)],[f55])).
% 2.34/0.65 fof(f58,plain,(
% 2.34/0.65 spl0_0|spl0_1),
% 2.34/0.65 inference(split_clause,[status(thm)],[f49,f52,f55])).
% 2.34/0.65 fof(f59,plain,(
% 2.34/0.65 spl0_2 <=> distinct_points(sk0_2,sk0_3)),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f61,plain,(
% 2.34/0.65 ~distinct_points(sk0_2,sk0_3)|spl0_2),
% 2.34/0.65 inference(component_clause,[status(thm)],[f59])).
% 2.34/0.65 fof(f74,plain,(
% 2.34/0.65 ![X0]: (distinct_lines(line_connecting(sk0_2,sk0_3),X0)|apart_point_and_line(sk0_0,X0)|~spl0_0)),
% 2.34/0.65 inference(resolution,[status(thm)],[f53,f42])).
% 2.34/0.65 fof(f76,plain,(
% 2.34/0.65 $false|spl0_2),
% 2.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f61,f48])).
% 2.34/0.65 fof(f77,plain,(
% 2.34/0.65 spl0_2),
% 2.34/0.65 inference(contradiction_clause,[status(thm)],[f76])).
% 2.34/0.65 fof(f90,plain,(
% 2.34/0.65 ![X0]: (distinct_lines(line_connecting(sk0_2,sk0_3),X0)|apart_point_and_line(sk0_1,X0)|~spl0_1)),
% 2.34/0.65 inference(resolution,[status(thm)],[f56,f42])).
% 2.34/0.65 fof(f92,plain,(
% 2.34/0.65 ![X0,X1,X2]: (apart_point_and_line(sk0_1,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X2,X0)|~spl0_1)),
% 2.34/0.65 inference(resolution,[status(thm)],[f90,f36])).
% 2.34/0.65 fof(f114,plain,(
% 2.34/0.65 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(X2,X3))|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,line_connecting(X2,X3))|~distinct_points(X2,X3)|distinct_points(sk0_1,X3)|~spl0_1)),
% 2.34/0.65 inference(resolution,[status(thm)],[f92,f30])).
% 2.34/0.65 fof(f123,plain,(
% 2.34/0.65 ![X0,X1,X2]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(X2,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,line_connecting(X2,sk0_1))|~distinct_points(X2,sk0_1)|~spl0_1)),
% 2.34/0.65 inference(resolution,[status(thm)],[f114,f15])).
% 2.34/0.65 fof(f179,plain,(
% 2.34/0.65 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|~spl0_1)),
% 2.34/0.65 inference(resolution,[status(thm)],[f123,f47])).
% 2.34/0.65 fof(f231,plain,(
% 2.34/0.65 spl0_15 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f232,plain,(
% 2.34/0.65 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_15),
% 2.34/0.65 inference(component_clause,[status(thm)],[f231])).
% 2.34/0.65 fof(f233,plain,(
% 2.34/0.65 ~apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|spl0_15),
% 2.34/0.65 inference(component_clause,[status(thm)],[f231])).
% 2.34/0.65 fof(f241,plain,(
% 2.34/0.65 spl0_17 <=> ~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|distinct_points(X1,sk0_2)),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f242,plain,(
% 2.34/0.65 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|distinct_points(X1,sk0_2)|~spl0_17)),
% 2.34/0.65 inference(component_clause,[status(thm)],[f241])).
% 2.34/0.65 fof(f244,plain,(
% 2.34/0.65 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_2,sk0_3)|distinct_points(X1,sk0_2)|~spl0_1)),
% 2.34/0.65 inference(resolution,[status(thm)],[f179,f29])).
% 2.34/0.65 fof(f245,plain,(
% 2.34/0.65 spl0_17|~spl0_2|~spl0_1),
% 2.34/0.65 inference(split_clause,[status(thm)],[f244,f241,f59,f55])).
% 2.34/0.65 fof(f258,plain,(
% 2.34/0.65 ![X0,X1,X2]: (apart_point_and_line(sk0_0,X0)|~distinct_points(X1,X2)|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,X0)|apart_point_and_line(X2,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X2,X0)|~spl0_0)),
% 2.34/0.65 inference(resolution,[status(thm)],[f74,f36])).
% 2.34/0.65 fof(f410,plain,(
% 2.34/0.65 spl0_25 <=> distinct_points(sk0_0,sk0_1)),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f412,plain,(
% 2.34/0.65 ~distinct_points(sk0_0,sk0_1)|spl0_25),
% 2.34/0.65 inference(component_clause,[status(thm)],[f410])).
% 2.34/0.65 fof(f415,plain,(
% 2.34/0.65 spl0_26 <=> distinct_points(sk0_0,sk0_0)),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f416,plain,(
% 2.34/0.65 distinct_points(sk0_0,sk0_0)|~spl0_26),
% 2.34/0.65 inference(component_clause,[status(thm)],[f415])).
% 2.34/0.65 fof(f418,plain,(
% 2.34/0.65 ~distinct_points(sk0_0,sk0_1)|distinct_points(sk0_0,sk0_0)|~spl0_15),
% 2.34/0.65 inference(resolution,[status(thm)],[f232,f29])).
% 2.34/0.65 fof(f419,plain,(
% 2.34/0.65 ~spl0_25|spl0_26|~spl0_15),
% 2.34/0.65 inference(split_clause,[status(thm)],[f418,f410,f415,f231])).
% 2.34/0.65 fof(f425,plain,(
% 2.34/0.65 $false|spl0_25),
% 2.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f412,f47])).
% 2.34/0.65 fof(f426,plain,(
% 2.34/0.65 spl0_25),
% 2.34/0.65 inference(contradiction_clause,[status(thm)],[f425])).
% 2.34/0.65 fof(f427,plain,(
% 2.34/0.65 $false|~spl0_26),
% 2.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f416,f15])).
% 2.34/0.65 fof(f428,plain,(
% 2.34/0.65 ~spl0_26),
% 2.34/0.65 inference(contradiction_clause,[status(thm)],[f427])).
% 2.34/0.65 fof(f501,plain,(
% 2.34/0.65 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|~spl0_0|spl0_15)),
% 2.34/0.65 inference(resolution,[status(thm)],[f258,f233])).
% 2.34/0.65 fof(f557,plain,(
% 2.34/0.65 ![X0,X1]: (~distinct_points(X0,X1)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_2,sk0_3)|distinct_points(X1,sk0_2)|~spl0_0|spl0_15)),
% 2.34/0.65 inference(resolution,[status(thm)],[f501,f29])).
% 2.34/0.65 fof(f558,plain,(
% 2.34/0.65 spl0_17|~spl0_2|~spl0_0|spl0_15),
% 2.34/0.65 inference(split_clause,[status(thm)],[f557,f241,f59,f52,f231])).
% 2.34/0.65 fof(f841,plain,(
% 2.34/0.65 spl0_37 <=> apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f842,plain,(
% 2.34/0.65 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_37),
% 2.34/0.65 inference(component_clause,[status(thm)],[f841])).
% 2.34/0.65 fof(f846,plain,(
% 2.34/0.65 spl0_38 <=> ~distinct_points(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f847,plain,(
% 2.34/0.65 ![X0]: (~distinct_points(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~spl0_38)),
% 2.34/0.65 inference(component_clause,[status(thm)],[f846])).
% 2.34/0.65 fof(f849,plain,(
% 2.34/0.65 ![X0]: (~distinct_points(X0,sk0_2)|apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))|~spl0_17)),
% 2.34/0.65 inference(resolution,[status(thm)],[f242,f15])).
% 2.34/0.65 fof(f850,plain,(
% 2.34/0.65 spl0_38|spl0_37|~spl0_17),
% 2.34/0.65 inference(split_clause,[status(thm)],[f849,f846,f841,f241])).
% 2.34/0.65 fof(f863,plain,(
% 2.34/0.65 ![X0,X1]: (apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~distinct_points(X1,X0)|distinct_points(X1,sk0_2)|~spl0_38)),
% 2.34/0.65 inference(resolution,[status(thm)],[f847,f20])).
% 2.34/0.65 fof(f864,plain,(
% 2.34/0.65 $false|~spl0_37),
% 2.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f842,f50])).
% 2.34/0.65 fof(f865,plain,(
% 2.34/0.65 ~spl0_37),
% 2.34/0.65 inference(contradiction_clause,[status(thm)],[f864])).
% 2.34/0.65 fof(f878,plain,(
% 2.34/0.65 ![X0]: (apart_point_and_line(X0,line_connecting(sk0_2,sk0_3))|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|~distinct_points(sk0_2,X0)|~spl0_38)),
% 2.34/0.65 inference(resolution,[status(thm)],[f863,f15])).
% 2.34/0.65 fof(f879,plain,(
% 2.34/0.65 spl0_40 <=> apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f880,plain,(
% 2.34/0.65 apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))|~spl0_40),
% 2.34/0.65 inference(component_clause,[status(thm)],[f879])).
% 2.34/0.65 fof(f882,plain,(
% 2.34/0.65 spl0_41 <=> apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f883,plain,(
% 2.34/0.65 apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))|~spl0_41),
% 2.34/0.65 inference(component_clause,[status(thm)],[f882])).
% 2.34/0.65 fof(f885,plain,(
% 2.34/0.65 apart_point_and_line(sk0_3,line_connecting(sk0_2,sk0_3))|apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1))|~spl0_38),
% 2.34/0.65 inference(resolution,[status(thm)],[f878,f48])).
% 2.34/0.65 fof(f886,plain,(
% 2.34/0.65 spl0_40|spl0_41|~spl0_38),
% 2.34/0.65 inference(split_clause,[status(thm)],[f885,f879,f882,f846])).
% 2.34/0.65 fof(f905,plain,(
% 2.34/0.65 spl0_44 <=> distinct_points(sk0_3,sk0_3)),
% 2.34/0.65 introduced(split_symbol_definition)).
% 2.34/0.65 fof(f906,plain,(
% 2.34/0.65 distinct_points(sk0_3,sk0_3)|~spl0_44),
% 2.34/0.65 inference(component_clause,[status(thm)],[f905])).
% 2.34/0.65 fof(f908,plain,(
% 2.34/0.65 ~distinct_points(sk0_2,sk0_3)|distinct_points(sk0_3,sk0_3)|~spl0_40),
% 2.34/0.65 inference(resolution,[status(thm)],[f880,f30])).
% 2.34/0.65 fof(f909,plain,(
% 2.34/0.65 ~spl0_2|spl0_44|~spl0_40),
% 2.34/0.65 inference(split_clause,[status(thm)],[f908,f59,f905,f879])).
% 2.34/0.65 fof(f919,plain,(
% 2.34/0.65 $false|~spl0_44),
% 2.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f906,f15])).
% 2.34/0.65 fof(f920,plain,(
% 2.34/0.65 ~spl0_44),
% 2.34/0.65 inference(contradiction_clause,[status(thm)],[f919])).
% 2.34/0.65 fof(f921,plain,(
% 2.34/0.65 $false|~spl0_41),
% 2.34/0.65 inference(forward_subsumption_resolution,[status(thm)],[f883,f51])).
% 2.34/0.65 fof(f922,plain,(
% 2.34/0.65 ~spl0_41),
% 2.34/0.65 inference(contradiction_clause,[status(thm)],[f921])).
% 2.34/0.65 fof(f923,plain,(
% 2.34/0.65 $false),
% 2.34/0.65 inference(sat_refutation,[status(thm)],[f58,f77,f245,f419,f426,f428,f558,f850,f865,f886,f909,f920,f922])).
% 2.34/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 2.34/0.66 % Elapsed time: 0.319704 seconds
% 2.34/0.66 % CPU time: 2.436819 seconds
% 2.34/0.66 % Memory used: 17.235 MB
%------------------------------------------------------------------------------