TSTP Solution File: SYN399+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN399+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN399+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n012.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 10:18:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,conjecture,(
% 0.14/0.36 ( (! [X] :( f(X)<=> p ))=> ( (! [Y] : f(Y))<=> p ) ) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,negated_conjecture,(
% 0.14/0.36 ~(( (! [X] :( f(X)<=> p ))=> ( (! [Y] : f(Y))<=> p ) ) )),
% 0.14/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.36 fof(f3,plain,(
% 0.14/0.36 ((![X]: (f(X)<=>p))&((![Y]: f(Y))<~>p))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.36 fof(f4,plain,(
% 0.14/0.36 (![X]: ((~f(X)|p)&(f(X)|~p)))&(((![Y]: f(Y))|p)&((?[Y]: ~f(Y))|~p))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f3])).
% 0.14/0.36 fof(f5,plain,(
% 0.14/0.36 (((![X]: ~f(X))|p)&((![X]: f(X))|~p))&(((![Y]: f(Y))|p)&((?[Y]: ~f(Y))|~p))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.14/0.36 fof(f6,plain,(
% 0.14/0.36 (((![X]: ~f(X))|p)&((![X]: f(X))|~p))&(((![Y]: f(Y))|p)&(~f(sk0_0)|~p))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f5])).
% 0.14/0.36 fof(f7,plain,(
% 0.14/0.36 ![X0]: (~f(X0)|p)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36 fof(f8,plain,(
% 0.14/0.36 ![X0]: (f(X0)|~p)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36 fof(f9,plain,(
% 0.14/0.36 ![X0]: (f(X0)|p)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36 fof(f10,plain,(
% 0.14/0.36 ~f(sk0_0)|~p),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36 fof(f11,plain,(
% 0.14/0.36 spl0_0 <=> ~f(X0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f12,plain,(
% 0.14/0.36 ![X0]: (~f(X0)|~spl0_0)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f11])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 spl0_1 <=> p),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f7,f11,f14])).
% 0.14/0.36 fof(f18,plain,(
% 0.14/0.36 spl0_2 <=> f(X0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f19,plain,(
% 0.14/0.36 ![X0]: (f(X0)|~spl0_2)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f18])).
% 0.14/0.36 fof(f21,plain,(
% 0.14/0.36 spl0_2|~spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f8,f18,f14])).
% 0.14/0.36 fof(f22,plain,(
% 0.14/0.36 spl0_2|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f9,f18,f14])).
% 0.14/0.36 fof(f23,plain,(
% 0.14/0.36 spl0_3 <=> f(sk0_0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f25,plain,(
% 0.14/0.36 ~f(sk0_0)|spl0_3),
% 0.14/0.36 inference(component_clause,[status(thm)],[f23])).
% 0.14/0.36 fof(f26,plain,(
% 0.14/0.36 ~spl0_3|~spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f10,f23,f14])).
% 0.14/0.36 fof(f27,plain,(
% 0.14/0.36 $false|~spl0_2|~spl0_0),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f12,f19])).
% 0.14/0.36 fof(f28,plain,(
% 0.14/0.36 ~spl0_2|~spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f27])).
% 0.14/0.36 fof(f29,plain,(
% 0.14/0.36 $false|~spl0_2|spl0_3),
% 0.14/0.36 inference(backward_subsumption_resolution,[status(thm)],[f25,f19])).
% 0.14/0.36 fof(f30,plain,(
% 0.14/0.36 ~spl0_2|spl0_3),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f29])).
% 0.14/0.36 fof(f31,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f17,f21,f22,f26,f28,f30])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.016038 seconds
% 0.14/0.37 % CPU time: 0.024725 seconds
% 0.14/0.37 % Memory used: 1.800 MB
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