TSTP Solution File: SYN398+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN398+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:46:44 EDT 2023
% Result : Theorem 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SYN398+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:26:40 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.31 fof(f1,conjecture,(
% 0.09/0.31 ( (! [X] :( p& f(X) ))<=> ( p& (! [Y] : f(Y) )) ) ),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f2,negated_conjecture,(
% 0.09/0.31 ~(( (! [X] :( p& f(X) ))<=> ( p& (! [Y] : f(Y) )) ) )),
% 0.09/0.31 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.31 fof(f3,plain,(
% 0.09/0.31 ((![X]: (p&f(X)))<~>(p&(![Y]: f(Y))))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.09/0.31 fof(f4,plain,(
% 0.09/0.31 pd0_0<=>(p&(![Y]: f(Y)))),
% 0.09/0.31 introduced(predicate_definition,[f3])).
% 0.09/0.31 fof(f5,plain,(
% 0.09/0.31 (![X]: (p&f(X)))<~>pd0_0),
% 0.09/0.31 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.09/0.31 fof(f6,plain,(
% 0.09/0.31 ((![X]: (p&f(X)))|pd0_0)&((?[X]: (~p|~f(X)))|~pd0_0)),
% 0.09/0.31 inference(NNF_transformation,[status(esa)],[f5])).
% 0.09/0.31 fof(f7,plain,(
% 0.09/0.31 ((p&(![X]: f(X)))|pd0_0)&((~p|(?[X]: ~f(X)))|~pd0_0)),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.09/0.31 fof(f8,plain,(
% 0.09/0.31 ((p&(![X]: f(X)))|pd0_0)&((~p|~f(sk0_0))|~pd0_0)),
% 0.09/0.31 inference(skolemization,[status(esa)],[f7])).
% 0.09/0.31 fof(f9,plain,(
% 0.09/0.31 p|pd0_0),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.31 fof(f10,plain,(
% 0.09/0.31 ![X0]: (f(X0)|pd0_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.31 fof(f11,plain,(
% 0.09/0.31 ~p|~f(sk0_0)|~pd0_0),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.31 fof(f12,plain,(
% 0.09/0.31 (~pd0_0|(p&(![Y]: f(Y))))&(pd0_0|(~p|(?[Y]: ~f(Y))))),
% 0.09/0.31 inference(NNF_transformation,[status(esa)],[f4])).
% 0.09/0.31 fof(f13,plain,(
% 0.09/0.31 (~pd0_0|(p&(![Y]: f(Y))))&(pd0_0|(~p|~f(sk0_1)))),
% 0.09/0.31 inference(skolemization,[status(esa)],[f12])).
% 0.09/0.31 fof(f14,plain,(
% 0.09/0.31 ~pd0_0|p),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.09/0.31 fof(f15,plain,(
% 0.09/0.31 ![X0]: (~pd0_0|f(X0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.09/0.31 fof(f16,plain,(
% 0.09/0.31 pd0_0|~p|~f(sk0_1)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.09/0.31 fof(f17,plain,(
% 0.09/0.31 spl0_0 <=> p),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f20,plain,(
% 0.09/0.31 spl0_1 <=> pd0_0),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f23,plain,(
% 0.09/0.31 spl0_0|spl0_1),
% 0.09/0.31 inference(split_clause,[status(thm)],[f9,f17,f20])).
% 0.09/0.31 fof(f24,plain,(
% 0.09/0.31 spl0_2 <=> f(X0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f25,plain,(
% 0.09/0.31 ![X0]: (f(X0)|~spl0_2)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f24])).
% 0.09/0.31 fof(f27,plain,(
% 0.09/0.31 spl0_2|spl0_1),
% 0.09/0.31 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.09/0.31 fof(f28,plain,(
% 0.09/0.31 spl0_3 <=> f(sk0_0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f30,plain,(
% 0.09/0.31 ~f(sk0_0)|spl0_3),
% 0.09/0.31 inference(component_clause,[status(thm)],[f28])).
% 0.09/0.31 fof(f31,plain,(
% 0.09/0.31 ~spl0_0|~spl0_3|~spl0_1),
% 0.09/0.31 inference(split_clause,[status(thm)],[f11,f17,f28,f20])).
% 0.09/0.31 fof(f32,plain,(
% 0.09/0.31 ~spl0_1|spl0_0),
% 0.09/0.31 inference(split_clause,[status(thm)],[f14,f20,f17])).
% 0.09/0.31 fof(f33,plain,(
% 0.09/0.31 ~spl0_1|spl0_2),
% 0.09/0.31 inference(split_clause,[status(thm)],[f15,f20,f24])).
% 0.09/0.31 fof(f34,plain,(
% 0.09/0.31 spl0_4 <=> f(sk0_1)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f36,plain,(
% 0.09/0.31 ~f(sk0_1)|spl0_4),
% 0.09/0.31 inference(component_clause,[status(thm)],[f34])).
% 0.09/0.31 fof(f37,plain,(
% 0.09/0.31 spl0_1|~spl0_0|~spl0_4),
% 0.09/0.31 inference(split_clause,[status(thm)],[f16,f20,f17,f34])).
% 0.09/0.31 fof(f38,plain,(
% 0.09/0.31 $false|~spl0_2|spl0_4),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f36,f25])).
% 0.09/0.31 fof(f39,plain,(
% 0.09/0.31 ~spl0_2|spl0_4),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f38])).
% 0.09/0.31 fof(f40,plain,(
% 0.09/0.31 $false|~spl0_2|spl0_3),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f30,f25])).
% 0.09/0.31 fof(f41,plain,(
% 0.09/0.31 ~spl0_2|spl0_3),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f40])).
% 0.09/0.31 fof(f42,plain,(
% 0.09/0.31 $false),
% 0.09/0.31 inference(sat_refutation,[status(thm)],[f23,f27,f31,f32,f33,f37,f39,f41])).
% 0.09/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.52 % Elapsed time: 0.006470 seconds
% 0.15/0.52 % CPU time: 0.007354 seconds
% 0.15/0.52 % Memory used: 472.731 KB
%------------------------------------------------------------------------------