TSTP Solution File: SYN375+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN375+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:46:41 EDT 2023
% Result : Theorem 0.09s 0.36s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : SYN375+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8042.1875MB
% 0.09/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Tue May 30 10:22:16 EDT 2023
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V3.5.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36 fof(f1,conjecture,(
% 0.09/0.36 ( (! [X] :( big_p(X)<=> (? [Y] : big_p(Y) )))<=> ( (! [X] : big_p(X))<=> (? [Y] : big_p(Y) )) ) ),
% 0.09/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f2,negated_conjecture,(
% 0.09/0.36 ~(( (! [X] :( big_p(X)<=> (? [Y] : big_p(Y) )))<=> ( (! [X] : big_p(X))<=> (? [Y] : big_p(Y) )) ) )),
% 0.09/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.36 fof(f3,plain,(
% 0.09/0.36 ((![X]: (big_p(X)<=>(?[Y]: big_p(Y))))<~>((![X]: big_p(X))<=>(?[Y]: big_p(Y))))),
% 0.09/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.09/0.36 fof(f4,plain,(
% 0.09/0.36 ![X]: (pd0_0(X)<=>(big_p(X)<=>(?[Y]: big_p(Y))))),
% 0.09/0.36 introduced(predicate_definition,[f3])).
% 0.09/0.36 fof(f5,plain,(
% 0.09/0.36 (![X]: pd0_0(X))<~>((![X]: big_p(X))<=>(?[Y]: big_p(Y)))),
% 0.09/0.36 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.09/0.36 fof(f6,plain,(
% 0.09/0.36 ((![X]: pd0_0(X))|(((?[X]: ~big_p(X))|(?[Y]: big_p(Y)))&((![X]: big_p(X))|(![Y]: ~big_p(Y)))))&((?[X]: ~pd0_0(X))|(((?[X]: ~big_p(X))|(![Y]: ~big_p(Y)))&((![X]: big_p(X))|(?[Y]: big_p(Y)))))),
% 0.09/0.36 inference(NNF_transformation,[status(esa)],[f5])).
% 0.09/0.36 fof(f7,plain,(
% 0.09/0.36 ((![X]: pd0_0(X))|((~big_p(sk0_0)|big_p(sk0_1))&((![X]: big_p(X))|(![Y]: ~big_p(Y)))))&(~pd0_0(sk0_2)|((~big_p(sk0_3)|(![Y]: ~big_p(Y)))&((![X]: big_p(X))|big_p(sk0_4))))),
% 0.09/0.36 inference(skolemization,[status(esa)],[f6])).
% 0.09/0.36 fof(f9,plain,(
% 0.09/0.36 ![X0,X1,X2]: (pd0_0(X0)|big_p(X1)|~big_p(X2))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.09/0.36 fof(f10,plain,(
% 0.09/0.36 ![X0]: (~pd0_0(sk0_2)|~big_p(sk0_3)|~big_p(X0))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.09/0.36 fof(f11,plain,(
% 0.09/0.36 ![X0]: (~pd0_0(sk0_2)|big_p(X0)|big_p(sk0_4))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.09/0.36 fof(f12,plain,(
% 0.09/0.36 ![X]: ((~pd0_0(X)|((~big_p(X)|(?[Y]: big_p(Y)))&(big_p(X)|(![Y]: ~big_p(Y)))))&(pd0_0(X)|((~big_p(X)|(![Y]: ~big_p(Y)))&(big_p(X)|(?[Y]: big_p(Y))))))),
% 0.09/0.36 inference(NNF_transformation,[status(esa)],[f4])).
% 0.09/0.36 fof(f13,plain,(
% 0.09/0.36 (![X]: (~pd0_0(X)|((~big_p(X)|(?[Y]: big_p(Y)))&(big_p(X)|(![Y]: ~big_p(Y))))))&(![X]: (pd0_0(X)|((~big_p(X)|(![Y]: ~big_p(Y)))&(big_p(X)|(?[Y]: big_p(Y))))))),
% 0.09/0.36 inference(miniscoping,[status(esa)],[f12])).
% 0.09/0.36 fof(f14,plain,(
% 0.09/0.36 (![X]: (~pd0_0(X)|((~big_p(X)|big_p(sk0_5(X)))&(big_p(X)|(![Y]: ~big_p(Y))))))&(![X]: (pd0_0(X)|((~big_p(X)|(![Y]: ~big_p(Y)))&(big_p(X)|big_p(sk0_6(X))))))),
% 0.09/0.36 inference(skolemization,[status(esa)],[f13])).
% 0.09/0.36 fof(f16,plain,(
% 0.09/0.36 ![X0,X1]: (~pd0_0(X0)|big_p(X0)|~big_p(X1))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.36 fof(f17,plain,(
% 0.09/0.36 ![X0,X1]: (pd0_0(X0)|~big_p(X0)|~big_p(X1))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.36 fof(f18,plain,(
% 0.09/0.36 ![X0]: (pd0_0(X0)|big_p(X0)|big_p(sk0_6(X0)))),
% 0.09/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.36 fof(f19,plain,(
% 0.09/0.36 spl0_0 <=> pd0_0(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f20,plain,(
% 0.09/0.36 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f19])).
% 0.09/0.36 fof(f29,plain,(
% 0.09/0.36 spl0_3 <=> big_p(X1)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f30,plain,(
% 0.09/0.36 ![X0]: (big_p(X0)|~spl0_3)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f29])).
% 0.09/0.36 fof(f32,plain,(
% 0.09/0.36 spl0_4 <=> ~big_p(X2)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f33,plain,(
% 0.09/0.36 ![X0]: (~big_p(X0)|~spl0_4)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f32])).
% 0.09/0.36 fof(f35,plain,(
% 0.09/0.36 spl0_0|spl0_3|spl0_4),
% 0.09/0.36 inference(split_clause,[status(thm)],[f9,f19,f29,f32])).
% 0.09/0.36 fof(f36,plain,(
% 0.09/0.36 spl0_5 <=> pd0_0(sk0_2)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f38,plain,(
% 0.09/0.36 ~pd0_0(sk0_2)|spl0_5),
% 0.09/0.36 inference(component_clause,[status(thm)],[f36])).
% 0.09/0.36 fof(f39,plain,(
% 0.09/0.36 spl0_6 <=> big_p(sk0_3)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f41,plain,(
% 0.09/0.36 ~big_p(sk0_3)|spl0_6),
% 0.09/0.36 inference(component_clause,[status(thm)],[f39])).
% 0.09/0.36 fof(f42,plain,(
% 0.09/0.36 ~spl0_5|~spl0_6|spl0_4),
% 0.09/0.36 inference(split_clause,[status(thm)],[f10,f36,f39,f32])).
% 0.09/0.36 fof(f43,plain,(
% 0.09/0.36 spl0_7 <=> big_p(sk0_4)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f44,plain,(
% 0.09/0.36 big_p(sk0_4)|~spl0_7),
% 0.09/0.36 inference(component_clause,[status(thm)],[f43])).
% 0.09/0.36 fof(f46,plain,(
% 0.09/0.36 ~spl0_5|spl0_3|spl0_7),
% 0.09/0.36 inference(split_clause,[status(thm)],[f11,f36,f29,f43])).
% 0.09/0.36 fof(f47,plain,(
% 0.09/0.36 spl0_8 <=> ~pd0_0(X0)|big_p(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f48,plain,(
% 0.09/0.36 ![X0]: (~pd0_0(X0)|big_p(X0)|~spl0_8)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f47])).
% 0.09/0.36 fof(f50,plain,(
% 0.09/0.36 spl0_8|spl0_4),
% 0.09/0.36 inference(split_clause,[status(thm)],[f16,f47,f32])).
% 0.09/0.36 fof(f51,plain,(
% 0.09/0.36 spl0_9 <=> pd0_0(X0)|~big_p(X0)),
% 0.09/0.36 introduced(split_symbol_definition)).
% 0.09/0.36 fof(f52,plain,(
% 0.09/0.36 ![X0]: (pd0_0(X0)|~big_p(X0)|~spl0_9)),
% 0.09/0.36 inference(component_clause,[status(thm)],[f51])).
% 0.09/0.36 fof(f54,plain,(
% 0.09/0.36 spl0_9|spl0_4),
% 0.09/0.36 inference(split_clause,[status(thm)],[f17,f51,f32])).
% 0.09/0.36 fof(f55,plain,(
% 0.09/0.36 ![X0]: (pd0_0(X0)|big_p(sk0_6(X0))|~spl0_4)),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f18,f33])).
% 0.09/0.36 fof(f56,plain,(
% 0.09/0.36 ![X0]: (pd0_0(X0)|~spl0_4)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f55,f33])).
% 0.09/0.36 fof(f59,plain,(
% 0.09/0.36 $false|~spl0_4|~spl0_3),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f30,f33])).
% 0.09/0.36 fof(f60,plain,(
% 0.09/0.36 ~spl0_4|~spl0_3),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f59])).
% 0.09/0.36 fof(f61,plain,(
% 0.09/0.36 ![X0]: (big_p(X0)|~spl0_0|~spl0_8)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f48,f20])).
% 0.09/0.36 fof(f62,plain,(
% 0.09/0.36 $false|~spl0_0|spl0_5),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f38,f20])).
% 0.09/0.36 fof(f63,plain,(
% 0.09/0.36 ~spl0_0|spl0_5),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f62])).
% 0.09/0.36 fof(f64,plain,(
% 0.09/0.36 spl0_0|~spl0_4),
% 0.09/0.36 inference(split_clause,[status(thm)],[f56,f19,f32])).
% 0.09/0.36 fof(f66,plain,(
% 0.09/0.36 $false|~spl0_4|~spl0_7),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f44,f33])).
% 0.09/0.36 fof(f67,plain,(
% 0.09/0.36 ~spl0_4|~spl0_7),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f66])).
% 0.09/0.36 fof(f69,plain,(
% 0.09/0.36 $false|~spl0_0|~spl0_8|spl0_6),
% 0.09/0.36 inference(backward_subsumption_resolution,[status(thm)],[f41,f61])).
% 0.09/0.36 fof(f70,plain,(
% 0.09/0.36 ~spl0_0|~spl0_8|spl0_6),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f69])).
% 0.09/0.36 fof(f71,plain,(
% 0.09/0.36 ![X0]: (pd0_0(X0)|~spl0_3|~spl0_9)),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f52,f30])).
% 0.09/0.36 fof(f72,plain,(
% 0.09/0.36 $false|~spl0_3|~spl0_9|spl0_5),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f38,f71])).
% 0.09/0.36 fof(f73,plain,(
% 0.09/0.36 ~spl0_3|~spl0_9|spl0_5),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f72])).
% 0.09/0.36 fof(f76,plain,(
% 0.09/0.36 $false|~spl0_3|spl0_6),
% 0.09/0.36 inference(forward_subsumption_resolution,[status(thm)],[f41,f30])).
% 0.09/0.36 fof(f77,plain,(
% 0.09/0.36 ~spl0_3|spl0_6),
% 0.09/0.36 inference(contradiction_clause,[status(thm)],[f76])).
% 0.09/0.36 fof(f78,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(sat_refutation,[status(thm)],[f35,f42,f46,f50,f54,f60,f63,f64,f67,f70,f73,f77])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.57 % Elapsed time: 0.006877 seconds
% 0.13/0.57 % CPU time: 0.007840 seconds
% 0.13/0.57 % Memory used: 487.916 KB
%------------------------------------------------------------------------------