%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN052+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:18:48 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN052+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n008.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 10:41:41 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f1,conjecture,(
% 0.16/0.48 ( (! [X] :( p<=> big_f(X) ))=> ( p<=> (! [X1] : big_f(X1) )) ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f2,negated_conjecture,(
% 0.16/0.48 ~(( (! [X] :( p<=> big_f(X) ))=> ( p<=> (! [X1] : big_f(X1) )) ) )),
% 0.16/0.48 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.48 fof(f3,plain,(
% 0.16/0.48 ((![X]: (p<=>big_f(X)))&(p<~>(![X1]: big_f(X1))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/0.48 fof(f4,plain,(
% 0.16/0.48 (![X]: ((~p|big_f(X))&(p|~big_f(X))))&((p|(![X1]: big_f(X1)))&(~p|(?[X1]: ~big_f(X1))))),
% 0.16/0.48 inference(NNF_transformation,[status(thm)],[f3])).
% 0.16/0.48 fof(f5,plain,(
% 0.16/0.48 ((~p|(![X]: big_f(X)))&(p|(![X]: ~big_f(X))))&((p|(![X1]: big_f(X1)))&(~p|(?[X1]: ~big_f(X1))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f4])).
% 0.16/0.48 fof(f6,plain,(
% 0.16/0.48 ((~p|(![X]: big_f(X)))&(p|(![X]: ~big_f(X))))&((p|(![X1]: big_f(X1)))&(~p|~big_f(sK0_skl)))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl)],[f5])).
% 0.16/0.48 fof(f7,plain,(
% 0.16/0.48 ![X0]: (~p|big_f(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.48 fof(f8,plain,(
% 0.16/0.48 ![X0]: (p|~big_f(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.48 fof(f9,plain,(
% 0.16/0.48 ![X0]: (p|big_f(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.48 fof(f10,plain,(
% 0.16/0.48 ~p|~big_f(sK0_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.48 fof(f11,definition,(
% 0.16/0.48 sQ0_spl <=> (p)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f14,definition,(
% 0.16/0.48 ![X0]: (sQ1_spl <=> (big_f(X0)))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f15,plain,(
% 0.16/0.48 ![X0]: (big_f(X0)|~sQ1_spl)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f14])).
% 0.16/0.48 fof(f17,plain,(
% 0.16/0.48 ~sQ0_spl|sQ1_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f7,f11,f14])).
% 0.16/0.48 fof(f18,definition,(
% 0.16/0.48 ![X0]: (sQ2_spl <=> (~big_f(X0)))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f19,plain,(
% 0.16/0.48 ![X0]: (~big_f(X0)|~sQ2_spl)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f18])).
% 0.16/0.48 fof(f21,plain,(
% 0.16/0.48 sQ0_spl|sQ2_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f8,f11,f18])).
% 0.16/0.48 fof(f22,plain,(
% 0.16/0.48 sQ0_spl|sQ1_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f9,f11,f14])).
% 0.16/0.48 fof(f23,definition,(
% 0.16/0.48 sQ3_spl <=> (big_f(sK0_skl))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f25,plain,(
% 0.16/0.48 ~big_f(sK0_skl)|sQ3_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f23])).
% 0.16/0.48 fof(f26,plain,(
% 0.16/0.48 ~sQ0_spl|~sQ3_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f10,f11,f23])).
% 0.16/0.48 fof(f27,plain,(
% 0.16/0.48 $false|~sQ1_spl|sQ3_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f25,f15])).
% 0.16/0.48 fof(f28,plain,(
% 0.16/0.48 ~sQ1_spl|sQ3_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f27])).
% 0.16/0.48 fof(f29,plain,(
% 0.16/0.48 $false|~sQ1_spl|~sQ2_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f19,f15])).
% 0.16/0.48 fof(f30,plain,(
% 0.16/0.48 ~sQ1_spl|~sQ2_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f29])).
% 0.16/0.48 fof(f31,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(sat_refutation,[status(thm)],[f17,f21,f22,f26,f28,f30])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.50 % Elapsed time: 0.046829 seconds
% 0.16/0.50 % CPU time: 0.110897 seconds
% 0.16/0.50 % Total memory used: 10.808 MB
% 0.16/0.50 % Net memory used: 10.405 MB
%------------------------------------------------------------------------------