TSTP Solution File: LCL638+1.001 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:19:44 EDT 2023
% Result : Theorem 0.15s 0.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n007.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 09:29:02 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.35 fof(f1,conjecture,(
% 0.15/0.35 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ p1(Y) ) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )) )))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) )),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f2,negated_conjecture,(
% 0.15/0.35 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ p1(Y) ) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )) )))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))),
% 0.15/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.35 fof(f3,plain,(
% 0.15/0.35 ?[X]: ((((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|p1(Y))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&p1(X)))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))&(?[Y]: ((r1(X,Y)&~p1(Y))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.15/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.35 fof(f4,plain,(
% 0.15/0.35 ![Y,X]: (pd0_0(X,Y)=>(r1(Y,X)&p1(X)))),
% 0.15/0.35 introduced(predicate_definition,[f3])).
% 0.15/0.35 fof(f5,plain,(
% 0.15/0.35 ?[X]: ((((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|p1(Y))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(X,Y))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))&(?[Y]: ((r1(X,Y)&~p1(Y))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.15/0.35 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.15/0.35 fof(f6,plain,(
% 0.15/0.35 ?[X]: ((((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|p1(Y))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(X,Y))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(![Y]: (~r1(X,Y)|((?[X]: r1(Y,X))&$true))))&(?[Y]: ((r1(X,Y)&~p1(Y))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.15/0.35 inference(miniscoping,[status(esa)],[f5])).
% 0.15/0.35 fof(f7,plain,(
% 0.15/0.35 ((((((![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_1(X,Y))&~p1(sk0_1(X,Y)))))|p1(Y))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_2(X,Y))&p1(sk0_2(X,Y)))))|~p1(Y)))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_0(sk0_3(Y,X,Y),Y)))))|(r1(Y,sk0_4(Y))&(![Y]: (~r1(sk0_4(Y),Y)|~p1(Y))))))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(r1(Y,sk0_5(Y))&~p1(sk0_5(Y)))))))&(![Y]: (~r1(sk0_0,Y)|(r1(Y,sk0_6(Y))&$true))))&((r1(sk0_0,sk0_7)&~p1(sk0_7))&(![X]: (~r1(sk0_7,X)|p1(X)))))),
% 0.15/0.35 inference(skolemization,[status(esa)],[f6])).
% 0.15/0.35 fof(f8,plain,(
% 0.15/0.35 ?[X]: ((((((![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_1(X,Y))&~p1(sk0_1(X,Y))))))|p1(Y))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_2(X,Y))&p1(sk0_2(X,Y))))))|~p1(Y)))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(sk0_3(Y,X,Y),Y))))))|(?[X]: (r1(Y,sk0_4(Y))&(![Y]: (~r1(sk0_4(Y),Y)|~p1(Y)))))))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,sk0_5(Y))&~p1(sk0_5(Y))))))))&(![Y]: (~r1(sk0_0,Y)|(?[X]: r1(Y,sk0_6(Y))))))&(?[Y]: ((r1(sk0_0,sk0_7)&~p1(sk0_7))&(![X]: (~r1(sk0_7,X)|p1(X))))))),
% 0.15/0.35 inference($true_and_$false_simplification,[status(esa)],[f7])).
% 0.15/0.35 fof(f9,plain,(
% 0.15/0.35 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_1(X1,X0))|p1(X0))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f10,plain,(
% 0.15/0.35 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~p1(sk0_1(X1,X0))|p1(X0))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f15,plain,(
% 0.15/0.35 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p1(X2)|r1(X0,sk0_5(X0)))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f16,plain,(
% 0.15/0.35 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p1(X2)|~p1(sk0_5(X0)))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f17,plain,(
% 0.15/0.35 ![X0]: (~r1(sk0_0,X0)|r1(X0,sk0_6(X0)))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f18,plain,(
% 0.15/0.35 r1(sk0_0,sk0_7)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f19,plain,(
% 0.15/0.35 ~p1(sk0_7)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f20,plain,(
% 0.15/0.35 ![X0]: (~r1(sk0_7,X0)|p1(X0))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f24,plain,(
% 0.15/0.35 spl0_0 <=> r1(sk0_0,sk0_7)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f26,plain,(
% 0.15/0.35 ~r1(sk0_0,sk0_7)|spl0_0),
% 0.15/0.35 inference(component_clause,[status(thm)],[f24])).
% 0.15/0.35 fof(f27,plain,(
% 0.15/0.35 spl0_1 <=> ~r1(sk0_7,X0)|r1(X0,sk0_1(X0,sk0_7))),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f28,plain,(
% 0.15/0.35 ![X0]: (~r1(sk0_7,X0)|r1(X0,sk0_1(X0,sk0_7))|~spl0_1)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f27])).
% 0.15/0.35 fof(f30,plain,(
% 0.15/0.35 ![X0]: (~r1(sk0_0,sk0_7)|~r1(sk0_7,X0)|r1(X0,sk0_1(X0,sk0_7)))),
% 0.15/0.35 inference(resolution,[status(thm)],[f9,f19])).
% 0.15/0.35 fof(f31,plain,(
% 0.15/0.35 ~spl0_0|spl0_1),
% 0.15/0.35 inference(split_clause,[status(thm)],[f30,f24,f27])).
% 0.15/0.35 fof(f32,plain,(
% 0.15/0.35 $false|spl0_0),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f26,f18])).
% 0.15/0.35 fof(f33,plain,(
% 0.15/0.35 spl0_0),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f32])).
% 0.15/0.35 fof(f34,plain,(
% 0.15/0.35 r1(sk0_7,sk0_6(sk0_7))),
% 0.15/0.35 inference(resolution,[status(thm)],[f17,f18])).
% 0.15/0.35 fof(f40,plain,(
% 0.15/0.35 spl0_3 <=> p1(sk0_7)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f41,plain,(
% 0.15/0.35 p1(sk0_7)|~spl0_3),
% 0.15/0.35 inference(component_clause,[status(thm)],[f40])).
% 0.15/0.35 fof(f46,plain,(
% 0.15/0.35 spl0_4 <=> ~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f47,plain,(
% 0.15/0.35 ![X0,X1]: (~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)|~spl0_4)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f46])).
% 0.15/0.35 fof(f49,plain,(
% 0.15/0.35 spl0_5 <=> r1(sk0_7,sk0_5(sk0_7))),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f50,plain,(
% 0.15/0.35 r1(sk0_7,sk0_5(sk0_7))|~spl0_5),
% 0.15/0.35 inference(component_clause,[status(thm)],[f49])).
% 0.15/0.35 fof(f52,plain,(
% 0.15/0.35 ![X0,X1]: (~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)|r1(sk0_7,sk0_5(sk0_7)))),
% 0.15/0.35 inference(resolution,[status(thm)],[f15,f18])).
% 0.15/0.35 fof(f53,plain,(
% 0.15/0.35 spl0_4|spl0_5),
% 0.15/0.35 inference(split_clause,[status(thm)],[f52,f46,f49])).
% 0.15/0.35 fof(f62,plain,(
% 0.15/0.35 ![X0]: (~r1(sk0_6(sk0_7),X0)|p1(X0)|~spl0_4)),
% 0.15/0.35 inference(resolution,[status(thm)],[f47,f34])).
% 0.15/0.35 fof(f63,plain,(
% 0.15/0.35 r1(sk0_6(sk0_7),sk0_1(sk0_6(sk0_7),sk0_7))|~spl0_1),
% 0.15/0.35 inference(resolution,[status(thm)],[f28,f34])).
% 0.15/0.35 fof(f64,plain,(
% 0.15/0.35 p1(sk0_1(sk0_6(sk0_7),sk0_7))|~spl0_1|~spl0_4),
% 0.15/0.35 inference(resolution,[status(thm)],[f63,f62])).
% 0.15/0.35 fof(f65,plain,(
% 0.15/0.35 spl0_8 <=> r1(sk0_7,sk0_6(sk0_7))),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f67,plain,(
% 0.15/0.35 ~r1(sk0_7,sk0_6(sk0_7))|spl0_8),
% 0.15/0.35 inference(component_clause,[status(thm)],[f65])).
% 0.15/0.35 fof(f68,plain,(
% 0.15/0.35 ~r1(sk0_0,sk0_7)|~r1(sk0_7,sk0_6(sk0_7))|p1(sk0_7)|~spl0_1|~spl0_4),
% 0.15/0.35 inference(resolution,[status(thm)],[f64,f10])).
% 0.15/0.35 fof(f69,plain,(
% 0.15/0.35 ~spl0_0|~spl0_8|spl0_3|~spl0_1|~spl0_4),
% 0.15/0.35 inference(split_clause,[status(thm)],[f68,f24,f65,f40,f27,f46])).
% 0.15/0.35 fof(f70,plain,(
% 0.15/0.35 $false|spl0_8),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f67,f34])).
% 0.15/0.35 fof(f71,plain,(
% 0.15/0.35 spl0_8),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f70])).
% 0.15/0.35 fof(f72,plain,(
% 0.15/0.35 $false|~spl0_3),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f41,f19])).
% 0.15/0.35 fof(f73,plain,(
% 0.15/0.35 ~spl0_3),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f72])).
% 0.15/0.35 fof(f75,plain,(
% 0.15/0.35 p1(sk0_5(sk0_7))|~spl0_5),
% 0.15/0.35 inference(resolution,[status(thm)],[f50,f20])).
% 0.15/0.35 fof(f76,plain,(
% 0.15/0.35 ![X0,X1]: (~r1(sk0_0,sk0_7)|~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)|~spl0_5)),
% 0.15/0.35 inference(resolution,[status(thm)],[f75,f16])).
% 0.15/0.35 fof(f77,plain,(
% 0.15/0.35 ~spl0_0|spl0_4|~spl0_5),
% 0.15/0.35 inference(split_clause,[status(thm)],[f76,f24,f46,f49])).
% 0.15/0.35 fof(f78,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(sat_refutation,[status(thm)],[f31,f33,f53,f69,f71,f73,f77])).
% 0.15/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.015008 seconds
% 0.15/0.57 % CPU time: 0.011564 seconds
% 0.15/0.57 % Memory used: 522.624 KB
%------------------------------------------------------------------------------