TSTP Solution File: GEO182+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:08:06 EDT 2023
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:08:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (! [X] : ~ distinct_points(X,X) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,axiom,(
% 0.15/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f7,axiom,(
% 0.15/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f9,axiom,(
% 0.15/0.41 (! [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) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f10,axiom,(
% 0.15/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f11,axiom,(
% 0.15/0.41 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f13,conjecture,(
% 0.15/0.41 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Z,line_connecting(Y,X)) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f14,negated_conjecture,(
% 0.15/0.41 ~((! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Z,line_connecting(Y,X)) ) ) ))),
% 0.15/0.41 inference(negated_conjecture,[status(cth)],[f13])).
% 0.15/0.41 fof(f15,plain,(
% 0.15/0.41 ![X0]: (~distinct_points(X0,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.41 fof(f18,plain,(
% 0.15/0.41 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.15/0.41 fof(f19,plain,(
% 0.15/0.41 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f18])).
% 0.15/0.41 fof(f20,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.41 fof(f27,plain,(
% 0.15/0.41 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.41 fof(f28,plain,(
% 0.15/0.41 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f27])).
% 0.15/0.41 fof(f29,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.41 fof(f30,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 ![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)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.15/0.41 fof(f36,plain,(
% 0.15/0.41 ![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))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f35])).
% 0.15/0.41 fof(f37,plain,(
% 0.15/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.41 fof(f38,plain,(
% 0.15/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f37])).
% 0.15/0.41 fof(f39,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.41 fof(f40,plain,(
% 0.15/0.41 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.15/0.41 fof(f41,plain,(
% 0.15/0.41 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f40])).
% 0.15/0.41 fof(f42,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f41])).
% 0.15/0.41 fof(f45,plain,(
% 0.15/0.41 (?[X,Y,Z]: (distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X)))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.41 fof(f46,plain,(
% 0.15/0.41 ?[X,Y]: (distinct_points(X,Y)&(?[Z]: (apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X)))))),
% 0.15/0.41 inference(miniscoping,[status(esa)],[f45])).
% 0.15/0.41 fof(f47,plain,(
% 0.15/0.41 (distinct_points(sk0_0,sk0_1)&(apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))&~apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))))),
% 0.15/0.41 inference(skolemization,[status(esa)],[f46])).
% 0.15/0.41 fof(f48,plain,(
% 0.15/0.41 distinct_points(sk0_0,sk0_1)),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.41 fof(f49,plain,(
% 0.15/0.41 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.41 fof(f50,plain,(
% 0.15/0.41 ~apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))),
% 0.15/0.41 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.41 fof(f51,plain,(
% 0.15/0.41 ![X0]: (distinct_points(sk0_0,X0)|distinct_points(sk0_1,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f20,f48])).
% 0.15/0.41 fof(f52,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(sk0_1,X1)|distinct_points(X0,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f51,f20])).
% 0.15/0.41 fof(f54,plain,(
% 0.15/0.41 ![X0]: (distinct_points(sk0_2,X0)|apart_point_and_line(X0,line_connecting(sk0_0,sk0_1)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f39,f49])).
% 0.15/0.41 fof(f55,plain,(
% 0.15/0.41 spl0_0 <=> distinct_points(sk0_1,sk0_0)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f64,plain,(
% 0.15/0.41 distinct_points(sk0_1,sk0_0)),
% 0.15/0.41 inference(resolution,[status(thm)],[f52,f15])).
% 0.15/0.41 fof(f66,plain,(
% 0.15/0.41 spl0_2 <=> distinct_points(sk0_0,sk0_1)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f76,plain,(
% 0.15/0.41 ![X0]: (distinct_points(sk0_0,X0)|distinct_points(X0,sk0_1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f52,f15])).
% 0.15/0.41 fof(f79,plain,(
% 0.15/0.41 spl0_4 <=> distinct_points(sk0_0,sk0_0)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f80,plain,(
% 0.15/0.41 distinct_points(sk0_0,sk0_0)|~spl0_4),
% 0.15/0.41 inference(component_clause,[status(thm)],[f79])).
% 0.15/0.41 fof(f85,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_points(X0,sk0_1)|distinct_points(sk0_0,X1)|distinct_points(X0,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f76,f20])).
% 0.15/0.41 fof(f94,plain,(
% 0.15/0.41 spl0_5 <=> distinct_points(sk0_0,X0)|distinct_points(X1,X0)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f95,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(X1,X0)|~spl0_5)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.15/0.41 fof(f101,plain,(
% 0.15/0.41 ![X0]: (distinct_points(X0,sk0_1)|distinct_points(X0,sk0_0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f85,f15])).
% 0.15/0.41 fof(f105,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_points(X0,sk0_0)|distinct_points(X0,X1)|distinct_points(sk0_1,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f101,f20])).
% 0.15/0.41 fof(f115,plain,(
% 0.15/0.41 ![X0]: (distinct_points(X0,sk0_0)|distinct_points(sk0_1,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f105,f15])).
% 0.15/0.41 fof(f119,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_points(sk0_1,X0)|distinct_points(X0,X1)|distinct_points(sk0_0,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f115,f20])).
% 0.15/0.41 fof(f131,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_points(sk0_1,sk0_0)|distinct_points(sk0_0,X0)|distinct_points(X1,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f119,f20])).
% 0.15/0.41 fof(f132,plain,(
% 0.15/0.41 spl0_0|spl0_5),
% 0.15/0.41 inference(split_clause,[status(thm)],[f131,f55,f94])).
% 0.15/0.41 fof(f138,plain,(
% 0.15/0.41 spl0_7 <=> distinct_points(sk0_1,sk0_1)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f139,plain,(
% 0.15/0.41 distinct_points(sk0_1,sk0_1)|~spl0_7),
% 0.15/0.41 inference(component_clause,[status(thm)],[f138])).
% 0.15/0.41 fof(f141,plain,(
% 0.15/0.41 distinct_points(sk0_1,sk0_1)|distinct_points(sk0_0,sk0_1)),
% 0.15/0.41 inference(factoring,[status(esa)],[f119])).
% 0.15/0.41 fof(f142,plain,(
% 0.15/0.41 spl0_7|spl0_2),
% 0.15/0.41 inference(split_clause,[status(thm)],[f141,f138,f66])).
% 0.15/0.41 fof(f154,plain,(
% 0.15/0.41 $false|~spl0_7),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f139,f15])).
% 0.15/0.41 fof(f155,plain,(
% 0.15/0.41 ~spl0_7),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f154])).
% 0.15/0.41 fof(f167,plain,(
% 0.15/0.41 ![X0,X1]: (distinct_lines(line_connecting(sk0_0,sk0_1),X0)|apart_point_and_line(X1,X0)|distinct_points(sk0_2,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f42,f54])).
% 0.15/0.41 fof(f268,plain,(
% 0.15/0.41 spl0_18 <=> distinct_points(sk0_2,sk0_2)),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f269,plain,(
% 0.15/0.41 distinct_points(sk0_2,sk0_2)|~spl0_18),
% 0.15/0.41 inference(component_clause,[status(thm)],[f268])).
% 0.15/0.41 fof(f277,plain,(
% 0.15/0.41 spl0_19 <=> distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f278,plain,(
% 0.15/0.41 distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0))|~spl0_19),
% 0.15/0.41 inference(component_clause,[status(thm)],[f277])).
% 0.15/0.41 fof(f280,plain,(
% 0.15/0.41 distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0))|distinct_points(sk0_2,sk0_2)),
% 0.15/0.41 inference(resolution,[status(thm)],[f167,f50])).
% 0.15/0.41 fof(f281,plain,(
% 0.15/0.41 spl0_19|spl0_18),
% 0.15/0.41 inference(split_clause,[status(thm)],[f280,f277,f268])).
% 0.15/0.41 fof(f286,plain,(
% 0.15/0.41 $false|~spl0_18),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f269,f15])).
% 0.15/0.41 fof(f287,plain,(
% 0.15/0.41 ~spl0_18),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f286])).
% 0.15/0.41 fof(f319,plain,(
% 0.15/0.41 $false|~spl0_5),
% 0.15/0.41 inference(resolution,[status(thm)],[f95,f15])).
% 0.15/0.41 fof(f320,plain,(
% 0.15/0.41 ~spl0_5),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f319])).
% 0.15/0.41 fof(f355,plain,(
% 0.15/0.41 ![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_1,sk0_0))|apart_point_and_line(X1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(X1,line_connecting(sk0_1,sk0_0))|~spl0_19)),
% 0.15/0.41 inference(resolution,[status(thm)],[f278,f36])).
% 0.15/0.41 fof(f566,plain,(
% 0.15/0.41 spl0_29 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f567,plain,(
% 0.15/0.41 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_29),
% 0.15/0.41 inference(component_clause,[status(thm)],[f566])).
% 0.15/0.41 fof(f569,plain,(
% 0.15/0.41 spl0_30 <=> apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f570,plain,(
% 0.15/0.41 apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))|~spl0_30),
% 0.15/0.41 inference(component_clause,[status(thm)],[f569])).
% 0.15/0.41 fof(f574,plain,(
% 0.15/0.41 spl0_31 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f575,plain,(
% 0.15/0.41 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_31),
% 0.15/0.41 inference(component_clause,[status(thm)],[f574])).
% 0.15/0.41 fof(f577,plain,(
% 0.15/0.41 spl0_32 <=> apart_point_and_line(sk0_0,line_connecting(sk0_1,sk0_0))),
% 0.15/0.41 introduced(split_symbol_definition)).
% 0.15/0.41 fof(f578,plain,(
% 0.15/0.41 apart_point_and_line(sk0_0,line_connecting(sk0_1,sk0_0))|~spl0_32),
% 0.15/0.41 inference(component_clause,[status(thm)],[f577])).
% 0.15/0.41 fof(f712,plain,(
% 0.15/0.41 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))|apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,line_connecting(sk0_1,sk0_0))|~spl0_19),
% 0.15/0.41 inference(resolution,[status(thm)],[f355,f64])).
% 0.15/0.41 fof(f713,plain,(
% 0.15/0.41 spl0_29|spl0_30|spl0_31|spl0_32|~spl0_19),
% 0.15/0.41 inference(split_clause,[status(thm)],[f712,f566,f569,f574,f577,f277])).
% 0.15/0.41 fof(f3058,plain,(
% 0.15/0.41 ~distinct_points(sk0_0,sk0_1)|distinct_points(sk0_1,sk0_1)|~spl0_29),
% 0.15/0.41 inference(resolution,[status(thm)],[f567,f30])).
% 0.15/0.41 fof(f3059,plain,(
% 0.15/0.41 ~spl0_2|spl0_7|~spl0_29),
% 0.15/0.41 inference(split_clause,[status(thm)],[f3058,f66,f138,f566])).
% 0.15/0.41 fof(f3067,plain,(
% 0.15/0.41 ~distinct_points(sk0_0,sk0_1)|distinct_points(sk0_0,sk0_0)|~spl0_31),
% 0.15/0.41 inference(resolution,[status(thm)],[f575,f29])).
% 0.15/0.41 fof(f3068,plain,(
% 0.15/0.41 ~spl0_2|spl0_4|~spl0_31),
% 0.15/0.41 inference(split_clause,[status(thm)],[f3067,f66,f79,f574])).
% 0.15/0.41 fof(f3071,plain,(
% 0.15/0.41 $false|~spl0_4),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f80,f15])).
% 0.15/0.41 fof(f3072,plain,(
% 0.15/0.41 ~spl0_4),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f3071])).
% 0.15/0.41 fof(f3134,plain,(
% 0.15/0.41 ~distinct_points(sk0_1,sk0_0)|distinct_points(sk0_1,sk0_1)|~spl0_30),
% 0.15/0.41 inference(resolution,[status(thm)],[f570,f29])).
% 0.15/0.41 fof(f3135,plain,(
% 0.15/0.41 ~spl0_0|spl0_7|~spl0_30),
% 0.15/0.41 inference(split_clause,[status(thm)],[f3134,f55,f138,f569])).
% 0.15/0.41 fof(f3145,plain,(
% 0.15/0.41 ~distinct_points(sk0_1,sk0_0)|distinct_points(sk0_0,sk0_0)|~spl0_32),
% 0.15/0.41 inference(resolution,[status(thm)],[f578,f30])).
% 0.15/0.41 fof(f3146,plain,(
% 0.15/0.41 ~spl0_0|spl0_4|~spl0_32),
% 0.15/0.41 inference(split_clause,[status(thm)],[f3145,f55,f79,f577])).
% 0.15/0.41 fof(f3151,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f132,f142,f155,f281,f287,f320,f713,f3059,f3068,f3072,f3135,f3146])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.114110 seconds
% 0.15/0.43 % CPU time: 0.427212 seconds
% 0.15/0.43 % Memory used: 10.303 MB
%------------------------------------------------------------------------------