TSTP Solution File: SYN051+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN051+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 : Tue Apr 30 20:51:08 EDT 2024
% Result : Theorem 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN051+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n012.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 : Mon Apr 29 21:54:56 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 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,axiom,(
% 0.07/0.27 (? [X] :( p=> big_f(X) ) )),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f2,axiom,(
% 0.07/0.27 (? [X] :( big_f(X)=> p ) )),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f3,conjecture,(
% 0.07/0.27 (? [X] :( p<=> big_f(X) ) )),
% 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f4,negated_conjecture,(
% 0.07/0.27 ~((? [X] :( p<=> big_f(X) ) ))),
% 0.07/0.27 inference(negated_conjecture,[status(cth)],[f3])).
% 0.07/0.27 fof(f5,plain,(
% 0.07/0.27 ?[X]: (~p|big_f(X))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.07/0.27 fof(f6,plain,(
% 0.07/0.27 ~p|(?[X]: big_f(X))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f5])).
% 0.07/0.27 fof(f7,plain,(
% 0.07/0.27 ~p|big_f(sk0_0)),
% 0.07/0.27 inference(skolemization,[status(esa)],[f6])).
% 0.07/0.27 fof(f8,plain,(
% 0.07/0.27 ~p|big_f(sk0_0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f7])).
% 0.07/0.27 fof(f9,plain,(
% 0.07/0.27 ?[X]: (~big_f(X)|p)),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.07/0.27 fof(f10,plain,(
% 0.07/0.27 (?[X]: ~big_f(X))|p),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f9])).
% 0.07/0.27 fof(f11,plain,(
% 0.07/0.27 ~big_f(sk0_1)|p),
% 0.07/0.27 inference(skolemization,[status(esa)],[f10])).
% 0.07/0.27 fof(f12,plain,(
% 0.07/0.27 ~big_f(sk0_1)|p),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f11])).
% 0.07/0.27 fof(f13,plain,(
% 0.07/0.27 (![X]: (p<~>big_f(X)))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.07/0.27 fof(f14,plain,(
% 0.07/0.27 ![X]: ((p|big_f(X))&(~p|~big_f(X)))),
% 0.07/0.27 inference(NNF_transformation,[status(esa)],[f13])).
% 0.07/0.27 fof(f15,plain,(
% 0.07/0.27 (p|(![X]: big_f(X)))&(~p|(![X]: ~big_f(X)))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f14])).
% 0.07/0.27 fof(f16,plain,(
% 0.07/0.27 ![X0]: (p|big_f(X0))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f15])).
% 0.07/0.27 fof(f17,plain,(
% 0.07/0.27 ![X0]: (~p|~big_f(X0))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f15])).
% 0.07/0.27 fof(f18,plain,(
% 0.07/0.27 spl0_0 <=> p),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f21,plain,(
% 0.07/0.27 spl0_1 <=> big_f(sk0_0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f22,plain,(
% 0.07/0.27 big_f(sk0_0)|~spl0_1),
% 0.07/0.27 inference(component_clause,[status(thm)],[f21])).
% 0.07/0.27 fof(f24,plain,(
% 0.07/0.27 ~spl0_0|spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f8,f18,f21])).
% 0.07/0.27 fof(f25,plain,(
% 0.07/0.27 spl0_2 <=> big_f(sk0_1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f27,plain,(
% 0.07/0.27 ~big_f(sk0_1)|spl0_2),
% 0.07/0.27 inference(component_clause,[status(thm)],[f25])).
% 0.07/0.27 fof(f28,plain,(
% 0.07/0.27 ~spl0_2|spl0_0),
% 0.07/0.27 inference(split_clause,[status(thm)],[f12,f25,f18])).
% 0.07/0.27 fof(f29,plain,(
% 0.07/0.27 spl0_3 <=> big_f(X0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f30,plain,(
% 0.07/0.27 ![X0]: (big_f(X0)|~spl0_3)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f29])).
% 0.07/0.27 fof(f32,plain,(
% 0.07/0.27 spl0_0|spl0_3),
% 0.07/0.27 inference(split_clause,[status(thm)],[f16,f18,f29])).
% 0.07/0.27 fof(f33,plain,(
% 0.07/0.27 spl0_4 <=> ~big_f(X0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f34,plain,(
% 0.07/0.27 ![X0]: (~big_f(X0)|~spl0_4)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f33])).
% 0.07/0.27 fof(f36,plain,(
% 0.07/0.27 ~spl0_0|spl0_4),
% 0.07/0.27 inference(split_clause,[status(thm)],[f17,f18,f33])).
% 0.07/0.27 fof(f37,plain,(
% 0.07/0.27 $false|~spl0_4|~spl0_3),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f30,f34])).
% 0.07/0.27 fof(f38,plain,(
% 0.07/0.27 ~spl0_4|~spl0_3),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f37])).
% 0.07/0.27 fof(f39,plain,(
% 0.07/0.27 $false|~spl0_3|spl0_2),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f27,f30])).
% 0.07/0.27 fof(f40,plain,(
% 0.07/0.27 ~spl0_3|spl0_2),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f39])).
% 0.07/0.27 fof(f41,plain,(
% 0.07/0.27 $false|~spl0_4|~spl0_1),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f22,f34])).
% 0.07/0.27 fof(f42,plain,(
% 0.07/0.27 ~spl0_4|~spl0_1),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f41])).
% 0.07/0.27 fof(f43,plain,(
% 0.07/0.27 $false),
% 0.07/0.27 inference(sat_refutation,[status(thm)],[f24,f28,f32,f36,f38,f40,f42])).
% 0.07/0.27 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.28 % Elapsed time: 0.013056 seconds
% 0.07/0.28 % CPU time: 0.023158 seconds
% 0.07/0.28 % Total memory used: 1.886 MB
% 0.07/0.28 % Net memory used: 1.724 MB
%------------------------------------------------------------------------------