%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN315+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 03:19:19 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN315+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:51:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,conjecture,(
% 0.08/0.38 (? [X] :(! [Y] :( ( big_f(X)<=> p )=> ( big_f(Y)<=> p ) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,negated_conjecture,(
% 0.08/0.38 ~((? [X] :(! [Y] :( ( big_f(X)<=> p )=> ( big_f(Y)<=> p ) ) )))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.38 fof(f3,plain,(
% 0.08/0.38 (![X]: ?[Y]: ((big_f(X)<=>p)&(big_f(Y)<~>p)))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f4,plain,(
% 0.08/0.38 ![X]: ?[Y]: (((~big_f(X)|p)&(big_f(X)|~p))&((big_f(Y)|p)&(~big_f(Y)|~p)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.38 fof(f5,plain,(
% 0.08/0.38 (((![X]: ~big_f(X))|p)&((![X]: big_f(X))|~p))&(?[Y]: ((big_f(Y)|p)&(~big_f(Y)|~p)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.38 fof(f6,plain,(
% 0.08/0.38 (((![X]: ~big_f(X))|p)&((![X]: big_f(X))|~p))&((big_f(sK0_skl)|p)&(~big_f(sK0_skl)|~p))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f5])).
% 0.08/0.38 fof(f7,plain,(
% 0.08/0.38 ![X0]: (~big_f(X0)|p)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f8,plain,(
% 0.08/0.38 ![X0]: (big_f(X0)|~p)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 big_f(sK0_skl)|p),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ~big_f(sK0_skl)|~p),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f11,definition,(
% 0.08/0.38 ![X0]: (sQ0_spl <=> (~big_f(X0)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f12,plain,(
% 0.08/0.38 ![X0]: (~big_f(X0)|~sQ0_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f11])).
% 0.08/0.38 fof(f14,definition,(
% 0.08/0.38 sQ1_spl <=> (p)),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f17,plain,(
% 0.08/0.38 sQ0_spl|sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f7,f11,f14])).
% 0.08/0.38 fof(f18,definition,(
% 0.08/0.38 ![X0]: (sQ2_spl <=> (big_f(X0)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f19,plain,(
% 0.08/0.38 ![X0]: (big_f(X0)|~sQ2_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f18])).
% 0.08/0.38 fof(f21,plain,(
% 0.08/0.38 sQ2_spl|~sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f8,f18,f14])).
% 0.08/0.38 fof(f22,definition,(
% 0.08/0.38 sQ3_spl <=> (big_f(sK0_skl))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f23,plain,(
% 0.08/0.38 big_f(sK0_skl)|~sQ3_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f22])).
% 0.08/0.38 fof(f24,plain,(
% 0.08/0.38 ~big_f(sK0_skl)|sQ3_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f22])).
% 0.08/0.38 fof(f25,plain,(
% 0.08/0.38 sQ3_spl|sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f9,f22,f14])).
% 0.08/0.38 fof(f26,plain,(
% 0.08/0.38 ~sQ3_spl|~sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f10,f22,f14])).
% 0.08/0.38 fof(f27,plain,(
% 0.08/0.38 $false|~sQ2_spl|sQ3_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f24,f19])).
% 0.08/0.38 fof(f28,plain,(
% 0.08/0.38 ~sQ2_spl|sQ3_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f27])).
% 0.08/0.38 fof(f29,plain,(
% 0.08/0.38 $false|~sQ0_spl|~sQ3_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f23,f12])).
% 0.08/0.38 fof(f30,plain,(
% 0.08/0.38 ~sQ0_spl|~sQ3_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f29])).
% 0.08/0.38 fof(f31,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(sat_refutation,[status(thm)],[f17,f21,f25,f26,f28,f30])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.046158 seconds
% 0.12/0.40 % CPU time: 0.104659 seconds
% 0.12/0.40 % Total memory used: 16.442 MB
% 0.12/0.40 % Net memory used: 15.832 MB
%------------------------------------------------------------------------------