TSTP Solution File: LCL638+1.001 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n027.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 20:27:33 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 20:48:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,conjecture,(
% 0.14/0.38 ~ (? [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) ) )) )) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 ~(~ (? [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)| $false ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.38 fof(f3,plain,(
% 0.14/0.38 ?[X]: ((((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|p1(Y))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&p1(X)))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))&(?[Y]: ((r1(X,Y)&~p1(Y))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.38 fof(f4,plain,(
% 0.14/0.38 ![Y,X]: (pd0_0(X,Y)=>(r1(Y,X)&p1(X)))),
% 0.14/0.38 introduced(predicate_definition,[f3])).
% 0.14/0.38 fof(f5,plain,(
% 0.14/0.38 ?[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)&$true)))))&(?[Y]: ((r1(X,Y)&~p1(Y))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.14/0.38 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.14/0.38 fof(f6,plain,(
% 0.14/0.38 ?[X]: ((((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|p1(Y))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(X,Y))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(![Y]: (~r1(X,Y)|((?[X]: r1(Y,X))&$true))))&(?[Y]: ((r1(X,Y)&~p1(Y))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f5])).
% 0.14/0.38 fof(f7,plain,(
% 0.14/0.38 ((((((![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))&$true))))&((r1(sk0_0,sk0_7)&~p1(sk0_7))&(![X]: (~r1(sk0_7,X)|p1(X)))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f6])).
% 0.14/0.38 fof(f8,plain,(
% 0.14/0.38 ?[X]: ((((((![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_1(X,Y))&~p1(sk0_1(X,Y))))))|p1(Y))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_2(X,Y))&p1(sk0_2(X,Y))))))|~p1(Y)))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(sk0_3(Y,X,Y),Y))))))|(?[X]: (r1(Y,sk0_4(Y))&(![Y]: (~r1(sk0_4(Y),Y)|~p1(Y)))))))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,sk0_5(Y))&~p1(sk0_5(Y))))))))&(![Y]: (~r1(sk0_0,Y)|(?[X]: r1(Y,sk0_6(Y))))))&(?[Y]: ((r1(sk0_0,sk0_7)&~p1(sk0_7))&(![X]: (~r1(sk0_7,X)|p1(X))))))),
% 0.14/0.38 inference($true_and_$false_simplification,[status(esa)],[f7])).
% 0.14/0.38 fof(f9,plain,(
% 0.14/0.38 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_1(X1,X0))|p1(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~p1(sk0_1(X1,X0))|p1(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p1(X2)|r1(X0,sk0_5(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p1(X2)|~p1(sk0_5(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![X0]: (~r1(sk0_0,X0)|r1(X0,sk0_6(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 r1(sk0_0,sk0_7)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ~p1(sk0_7)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![X0]: (~r1(sk0_7,X0)|p1(X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 spl0_0 <=> ~r1(sk0_7,X0)|r1(X0,sk0_1(X0,sk0_7))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 ![X0]: (~r1(sk0_7,X0)|r1(X0,sk0_1(X0,sk0_7))|~spl0_0)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f24])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 spl0_1 <=> p1(sk0_7)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 p1(sk0_7)|~spl0_1),
% 0.14/0.38 inference(component_clause,[status(thm)],[f27])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ![X0]: (~r1(sk0_7,X0)|r1(X0,sk0_1(X0,sk0_7))|p1(sk0_7))),
% 0.14/0.38 inference(resolution,[status(thm)],[f9,f18])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 spl0_0|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f30,f24,f27])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 r1(sk0_7,sk0_6(sk0_7))),
% 0.14/0.38 inference(resolution,[status(thm)],[f17,f18])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 spl0_2 <=> ~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 ![X0,X1]: (~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)|~spl0_2)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f33])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 spl0_3 <=> r1(sk0_7,sk0_5(sk0_7))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 r1(sk0_7,sk0_5(sk0_7))|~spl0_3),
% 0.14/0.38 inference(component_clause,[status(thm)],[f36])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ![X0,X1]: (~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)|r1(sk0_7,sk0_5(sk0_7)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f15,f18])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 spl0_2|spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f39,f33,f36])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 $false|~spl0_1),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f28,f19])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 ~spl0_1),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f60])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 ![X0]: (~r1(sk0_6(sk0_7),X0)|p1(X0)|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f34,f32])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 r1(sk0_6(sk0_7),sk0_1(sk0_6(sk0_7),sk0_7))|~spl0_0),
% 0.14/0.38 inference(resolution,[status(thm)],[f25,f32])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 p1(sk0_1(sk0_6(sk0_7),sk0_7))|~spl0_0|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f64,f62])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 spl0_8 <=> r1(sk0_0,sk0_7)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 ~r1(sk0_0,sk0_7)|spl0_8),
% 0.14/0.38 inference(component_clause,[status(thm)],[f66])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 spl0_9 <=> r1(sk0_7,sk0_6(sk0_7))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 ~r1(sk0_7,sk0_6(sk0_7))|spl0_9),
% 0.14/0.38 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 ~r1(sk0_0,sk0_7)|~r1(sk0_7,sk0_6(sk0_7))|p1(sk0_7)|~spl0_0|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f65,f10])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 ~spl0_8|~spl0_9|spl0_1|~spl0_0|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f72,f66,f69,f27,f24,f33])).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 $false|spl0_9),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f71,f32])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 spl0_9),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f74])).
% 0.14/0.38 fof(f76,plain,(
% 0.14/0.38 $false|spl0_8),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f68,f18])).
% 0.14/0.38 fof(f77,plain,(
% 0.14/0.38 spl0_8),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f76])).
% 0.14/0.38 fof(f80,plain,(
% 0.14/0.38 p1(sk0_5(sk0_7))|~spl0_3),
% 0.14/0.38 inference(resolution,[status(thm)],[f37,f20])).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 ![X0,X1]: (~r1(sk0_0,sk0_7)|~r1(sk0_7,X0)|~r1(X0,X1)|p1(X1)|~spl0_3)),
% 0.14/0.38 inference(resolution,[status(thm)],[f80,f16])).
% 0.14/0.38 fof(f82,plain,(
% 0.14/0.38 ~spl0_8|spl0_2|~spl0_3),
% 0.14/0.38 inference(split_clause,[status(thm)],[f81,f66,f33,f36])).
% 0.14/0.38 fof(f83,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f31,f40,f61,f73,f75,f77,f82])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.031575 seconds
% 0.14/0.40 % CPU time: 0.052236 seconds
% 0.14/0.40 % Total memory used: 2.093 MB
% 0.14/0.40 % Net memory used: 2.053 MB
%------------------------------------------------------------------------------