TSTP Solution File: SYN358+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% 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 12:46:38 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:34:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,conjecture,(
% 0.13/0.36 ( (? [X] :( p& big_q(X) ))<=> ( p& (? [X] : big_q(X) )) ) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,negated_conjecture,(
% 0.13/0.36 ~(( (? [X] :( p& big_q(X) ))<=> ( p& (? [X] : big_q(X) )) ) )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.36 fof(f3,plain,(
% 0.13/0.36 ((?[X]: (p&big_q(X)))<~>(p&(?[X]: big_q(X))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f4,plain,(
% 0.13/0.36 pd0_0<=>(p&(?[X]: big_q(X)))),
% 0.13/0.36 introduced(predicate_definition,[f3])).
% 0.13/0.36 fof(f5,plain,(
% 0.13/0.36 (?[X]: (p&big_q(X)))<~>pd0_0),
% 0.13/0.36 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.13/0.36 fof(f6,plain,(
% 0.13/0.36 ((?[X]: (p&big_q(X)))|pd0_0)&((![X]: (~p|~big_q(X)))|~pd0_0)),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f7,plain,(
% 0.13/0.36 ((p&(?[X]: big_q(X)))|pd0_0)&((~p|(![X]: ~big_q(X)))|~pd0_0)),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.36 fof(f8,plain,(
% 0.13/0.36 ((p&big_q(sk0_0))|pd0_0)&((~p|(![X]: ~big_q(X)))|~pd0_0)),
% 0.13/0.36 inference(skolemization,[status(esa)],[f7])).
% 0.13/0.36 fof(f9,plain,(
% 0.13/0.36 p|pd0_0),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f10,plain,(
% 0.13/0.36 big_q(sk0_0)|pd0_0),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X0]: (~p|~big_q(X0)|~pd0_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 (~pd0_0|(p&(?[X]: big_q(X))))&(pd0_0|(~p|(![X]: ~big_q(X))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 (~pd0_0|(p&big_q(sk0_1)))&(pd0_0|(~p|(![X]: ~big_q(X))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f12])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ~pd0_0|p),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ~pd0_0|big_q(sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![X0]: (pd0_0|~p|~big_q(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 spl0_0 <=> p),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 spl0_1 <=> pd0_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f9,f17,f20])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 spl0_2 <=> big_q(sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 big_q(sk0_0)|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f24])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 spl0_2|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 spl0_3 <=> ~big_q(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X0]: (~big_q(X0)|~spl0_3)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f28])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ~spl0_0|spl0_3|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f11,f17,f28,f20])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ~spl0_1|spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f14,f20,f17])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 spl0_4 <=> big_q(sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 big_q(sk0_1)|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f33])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ~spl0_1|spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f15,f20,f33])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 spl0_1|~spl0_0|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f16,f20,f17,f28])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 $false|~spl0_3|~spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f34,f29])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 ~spl0_3|~spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f38])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 $false|~spl0_3|~spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f25,f29])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 ~spl0_3|~spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f40])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f23,f27,f31,f32,f36,f37,f39,f41])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.58 % Elapsed time: 0.013160 seconds
% 0.24/0.58 % CPU time: 0.025098 seconds
% 0.24/0.58 % Memory used: 1.822 MB
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