TSTP Solution File: SYN053+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:45:48 EDT 2023
% Result : Theorem 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n004.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:18:07 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.27 fof(f1,conjecture,(
% 0.07/0.27 ( (! [X] :( p| big_f(X) ))<=> ( p| (! [X1] : big_f(X1) )) ) ),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f2,negated_conjecture,(
% 0.07/0.27 ~(( (! [X] :( p| big_f(X) ))<=> ( p| (! [X1] : big_f(X1) )) ) )),
% 0.07/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.27 fof(f3,plain,(
% 0.07/0.27 ((![X]: (p|big_f(X)))<~>(p|(![X1]: big_f(X1))))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.07/0.27 fof(f4,plain,(
% 0.07/0.27 ((![X]: (p|big_f(X)))|(p|(![X1]: big_f(X1))))&((?[X]: (~p&~big_f(X)))|(~p&(?[X1]: ~big_f(X1))))),
% 0.07/0.27 inference(NNF_transformation,[status(esa)],[f3])).
% 0.07/0.27 fof(f5,plain,(
% 0.07/0.27 ((p|(![X]: big_f(X)))|(p|(![X1]: big_f(X1))))&((~p&(?[X]: ~big_f(X)))|(~p&(?[X1]: ~big_f(X1))))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f4])).
% 0.07/0.27 fof(f6,plain,(
% 0.07/0.27 ((p|(![X]: big_f(X)))|(p|(![X1]: big_f(X1))))&((~p&~big_f(sk0_0))|(~p&~big_f(sk0_1)))),
% 0.07/0.27 inference(skolemization,[status(esa)],[f5])).
% 0.07/0.27 fof(f7,plain,(
% 0.07/0.27 ![X0,X1]: (p|big_f(X0)|p|big_f(X1))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.27 fof(f8,plain,(
% 0.07/0.27 ~p|~p),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.27 fof(f11,plain,(
% 0.07/0.27 ~big_f(sk0_0)|~big_f(sk0_1)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.27 fof(f12,plain,(
% 0.07/0.27 spl0_0 <=> p),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f15,plain,(
% 0.07/0.27 spl0_1 <=> big_f(X0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f16,plain,(
% 0.07/0.27 ![X0]: (big_f(X0)|~spl0_1)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f15])).
% 0.07/0.27 fof(f18,plain,(
% 0.07/0.27 spl0_0|spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.07/0.27 fof(f19,plain,(
% 0.07/0.27 ~spl0_0),
% 0.07/0.27 inference(split_clause,[status(thm)],[f8,f12])).
% 0.07/0.27 fof(f20,plain,(
% 0.07/0.27 spl0_2 <=> big_f(sk0_1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f22,plain,(
% 0.07/0.27 ~big_f(sk0_1)|spl0_2),
% 0.07/0.27 inference(component_clause,[status(thm)],[f20])).
% 0.07/0.27 fof(f24,plain,(
% 0.07/0.27 spl0_3 <=> big_f(sk0_0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f26,plain,(
% 0.07/0.27 ~big_f(sk0_0)|spl0_3),
% 0.07/0.27 inference(component_clause,[status(thm)],[f24])).
% 0.07/0.27 fof(f28,plain,(
% 0.07/0.27 ~spl0_3|~spl0_2),
% 0.07/0.27 inference(split_clause,[status(thm)],[f11,f24,f20])).
% 0.07/0.27 fof(f29,plain,(
% 0.07/0.27 $false|~spl0_1|spl0_2),
% 0.07/0.27 inference(backward_subsumption_resolution,[status(thm)],[f22,f16])).
% 0.07/0.27 fof(f30,plain,(
% 0.07/0.27 ~spl0_1|spl0_2),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f29])).
% 0.07/0.27 fof(f31,plain,(
% 0.07/0.27 $false|~spl0_1|spl0_3),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f26,f16])).
% 0.07/0.27 fof(f32,plain,(
% 0.07/0.27 ~spl0_1|spl0_3),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f31])).
% 0.07/0.27 fof(f33,plain,(
% 0.07/0.27 $false),
% 0.07/0.27 inference(sat_refutation,[status(thm)],[f18,f19,f28,f30,f32])).
% 0.07/0.27 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.28 % Elapsed time: 0.011219 seconds
% 0.12/0.28 % CPU time: 0.017320 seconds
% 0.12/0.28 % Memory used: 1.809 MB
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