%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN399+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 : n009.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 03:19:34 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN399+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:53:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f1,conjecture,(
% 0.11/0.39 ( (! [X] :( f(X)<=> p ))=> ( (! [Y] : f(Y))<=> p ) ) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,negated_conjecture,(
% 0.11/0.39 ~(( (! [X] :( f(X)<=> p ))=> ( (! [Y] : f(Y))<=> p ) ) )),
% 0.11/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.39 fof(f3,plain,(
% 0.11/0.39 ((![X]: (f(X)<=>p))&((![Y]: f(Y))<~>p))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.39 fof(f4,plain,(
% 0.11/0.39 (![X]: ((~f(X)|p)&(f(X)|~p)))&(((![Y]: f(Y))|p)&((?[Y]: ~f(Y))|~p))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.39 fof(f5,plain,(
% 0.11/0.39 (((![X]: ~f(X))|p)&((![X]: f(X))|~p))&(((![Y]: f(Y))|p)&((?[Y]: ~f(Y))|~p))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.11/0.39 fof(f6,plain,(
% 0.11/0.39 (((![X]: ~f(X))|p)&((![X]: f(X))|~p))&(((![Y]: f(Y))|p)&(~f(sK0_skl)|~p))),
% 0.11/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f5])).
% 0.11/0.39 fof(f7,plain,(
% 0.11/0.39 ![X0]: (~f(X0)|p)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f8,plain,(
% 0.11/0.39 ![X0]: (f(X0)|~p)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f9,plain,(
% 0.11/0.39 ![X0]: (f(X0)|p)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f10,plain,(
% 0.11/0.39 ~f(sK0_skl)|~p),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.39 fof(f11,definition,(
% 0.11/0.39 ![X0]: (sQ0_spl <=> (~f(X0)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f12,plain,(
% 0.11/0.39 ![X0]: (~f(X0)|~sQ0_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f11])).
% 0.11/0.39 fof(f14,definition,(
% 0.11/0.39 sQ1_spl <=> (p)),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f17,plain,(
% 0.11/0.39 sQ0_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f7,f11,f14])).
% 0.11/0.39 fof(f18,definition,(
% 0.11/0.39 ![X0]: (sQ2_spl <=> (f(X0)))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f19,plain,(
% 0.11/0.39 ![X0]: (f(X0)|~sQ2_spl)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f18])).
% 0.11/0.39 fof(f21,plain,(
% 0.11/0.39 sQ2_spl|~sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f8,f18,f14])).
% 0.11/0.39 fof(f22,plain,(
% 0.11/0.39 sQ2_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f9,f18,f14])).
% 0.11/0.39 fof(f23,definition,(
% 0.11/0.39 sQ3_spl <=> (f(sK0_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f25,plain,(
% 0.11/0.39 ~f(sK0_skl)|sQ3_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f23])).
% 0.11/0.39 fof(f26,plain,(
% 0.11/0.39 ~sQ3_spl|~sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f10,f23,f14])).
% 0.11/0.39 fof(f27,plain,(
% 0.11/0.39 $false|~sQ2_spl|~sQ0_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f12,f19])).
% 0.11/0.39 fof(f28,plain,(
% 0.11/0.39 ~sQ2_spl|~sQ0_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f27])).
% 0.11/0.39 fof(f29,plain,(
% 0.11/0.39 $false|~sQ2_spl|sQ3_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f19])).
% 0.11/0.39 fof(f30,plain,(
% 0.11/0.39 ~sQ2_spl|sQ3_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f29])).
% 0.11/0.39 fof(f31,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f17,f21,f22,f26,f28,f30])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.038820 seconds
% 0.11/0.41 % CPU time: 0.100154 seconds
% 0.11/0.41 % Total memory used: 16.455 MB
% 0.11/0.41 % Net memory used: 15.853 MB
%------------------------------------------------------------------------------