TSTP Solution File: SYN376+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:24:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,conjecture,(
% 0.14/0.37 ( (? [X] :(! [Y] :( big_p(Y)<=> big_p(X) )))=> ( (! [X] : big_p(X))| (! [X] : ~ big_p(X) )) ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,negated_conjecture,(
% 0.14/0.37 ~(( (? [X] :(! [Y] :( big_p(Y)<=> big_p(X) )))=> ( (! [X] : big_p(X))| (! [X] : ~ big_p(X) )) ) )),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.37 fof(f3,plain,(
% 0.14/0.37 ((?[X]: ![Y]: (big_p(Y)<=>big_p(X)))&((?[X]: ~big_p(X))&(?[X]: big_p(X))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.37 fof(f4,plain,(
% 0.14/0.37 (?[X]: ![Y]: ((~big_p(Y)|big_p(X))&(big_p(Y)|~big_p(X))))&((?[X]: ~big_p(X))&(?[X]: big_p(X)))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f3])).
% 0.14/0.37 fof(f5,plain,(
% 0.14/0.37 (?[X]: (((![Y]: ~big_p(Y))|big_p(X))&((![Y]: big_p(Y))|~big_p(X))))&((?[X]: ~big_p(X))&(?[X]: big_p(X)))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f4])).
% 0.14/0.37 fof(f6,plain,(
% 0.14/0.37 (((![Y]: ~big_p(Y))|big_p(sk0_0))&((![Y]: big_p(Y))|~big_p(sk0_0)))&(~big_p(sk0_1)&big_p(sk0_2))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f5])).
% 0.14/0.37 fof(f7,plain,(
% 0.14/0.37 ![X0]: (~big_p(X0)|big_p(sk0_0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.37 fof(f8,plain,(
% 0.14/0.37 ![X0]: (big_p(X0)|~big_p(sk0_0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.37 fof(f9,plain,(
% 0.14/0.37 ~big_p(sk0_1)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.37 fof(f10,plain,(
% 0.14/0.37 big_p(sk0_2)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.37 fof(f11,plain,(
% 0.14/0.37 spl0_0 <=> ~big_p(X0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f12,plain,(
% 0.14/0.37 ![X0]: (~big_p(X0)|~spl0_0)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f11])).
% 0.14/0.37 fof(f14,plain,(
% 0.14/0.37 spl0_1 <=> big_p(sk0_0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f17,plain,(
% 0.14/0.37 spl0_0|spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f7,f11,f14])).
% 0.14/0.37 fof(f18,plain,(
% 0.14/0.37 spl0_2 <=> big_p(X0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f19,plain,(
% 0.14/0.37 ![X0]: (big_p(X0)|~spl0_2)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f18])).
% 0.14/0.37 fof(f21,plain,(
% 0.14/0.37 spl0_2|~spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f8,f18,f14])).
% 0.14/0.37 fof(f22,plain,(
% 0.14/0.37 $false|~spl0_2),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f9,f19])).
% 0.14/0.37 fof(f23,plain,(
% 0.14/0.37 ~spl0_2),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f22])).
% 0.14/0.37 fof(f24,plain,(
% 0.14/0.37 $false|~spl0_0),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f10,f12])).
% 0.14/0.37 fof(f25,plain,(
% 0.14/0.37 ~spl0_0),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f24])).
% 0.14/0.37 fof(f26,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f17,f21,f23,f25])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.58 % Elapsed time: 0.013364 seconds
% 0.24/0.58 % CPU time: 0.027298 seconds
% 0.24/0.58 % Memory used: 6.990 MB
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