%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN051+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 : n013.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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN051+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:39:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (? [X] :( p=> big_f(X) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (? [X] :( big_f(X)=> p ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,conjecture,(
% 0.08/0.37 (? [X] :( p<=> big_f(X) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,negated_conjecture,(
% 0.08/0.37 ~((? [X] :( p<=> big_f(X) ) ))),
% 0.08/0.37 inference(negated_conjecture,[status(cth)],[f3])).
% 0.08/0.37 fof(f5,plain,(
% 0.08/0.37 ?[X]: (~p|big_f(X))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f6,plain,(
% 0.08/0.37 ~p|(?[X]: big_f(X))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f5])).
% 0.08/0.37 fof(f7,plain,(
% 0.08/0.37 ~p|big_f(sK0_skl)),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f6])).
% 0.08/0.37 fof(f8,plain,(
% 0.08/0.37 ~p|big_f(sK0_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.37 fof(f9,plain,(
% 0.08/0.37 ?[X]: (~big_f(X)|p)),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f10,plain,(
% 0.08/0.37 (?[X]: ~big_f(X))|p),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f9])).
% 0.08/0.37 fof(f11,plain,(
% 0.08/0.37 ~big_f(sK1_skl)|p),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl)],[f10])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ~big_f(sK1_skl)|p),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.37 fof(f13,plain,(
% 0.08/0.37 (![X]: (p<~>big_f(X)))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ![X]: ((p|big_f(X))&(~p|~big_f(X)))),
% 0.08/0.37 inference(NNF_transformation,[status(thm)],[f13])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 (p|(![X]: big_f(X)))&(~p|(![X]: ~big_f(X)))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f14])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![X0]: (p|big_f(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.37 fof(f17,plain,(
% 0.08/0.37 ![X0]: (~p|~big_f(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.37 fof(f18,definition,(
% 0.08/0.37 sQ0_spl <=> (p)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f21,definition,(
% 0.08/0.37 sQ1_spl <=> (big_f(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f22,plain,(
% 0.08/0.37 big_f(sK0_skl)|~sQ1_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f21])).
% 0.08/0.37 fof(f24,plain,(
% 0.08/0.37 ~sQ0_spl|sQ1_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f8,f18,f21])).
% 0.08/0.37 fof(f25,definition,(
% 0.08/0.37 sQ2_spl <=> (big_f(sK1_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f27,plain,(
% 0.08/0.37 ~big_f(sK1_skl)|sQ2_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f25])).
% 0.08/0.37 fof(f28,plain,(
% 0.08/0.37 ~sQ2_spl|sQ0_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f12,f25,f18])).
% 0.08/0.37 fof(f29,definition,(
% 0.08/0.37 ![X0]: (sQ3_spl <=> (big_f(X0)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f30,plain,(
% 0.08/0.37 ![X0]: (big_f(X0)|~sQ3_spl)),
% 0.08/0.37 inference(component_clause,[status(thm)],[f29])).
% 0.08/0.37 fof(f32,plain,(
% 0.08/0.37 sQ0_spl|sQ3_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f16,f18,f29])).
% 0.08/0.37 fof(f33,definition,(
% 0.08/0.37 ![X0]: (sQ4_spl <=> (~big_f(X0)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f34,plain,(
% 0.08/0.37 ![X0]: (~big_f(X0)|~sQ4_spl)),
% 0.08/0.37 inference(component_clause,[status(thm)],[f33])).
% 0.08/0.37 fof(f36,plain,(
% 0.08/0.37 ~sQ0_spl|sQ4_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f17,f18,f33])).
% 0.08/0.37 fof(f37,plain,(
% 0.08/0.37 $false|~sQ4_spl|~sQ3_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f30,f34])).
% 0.08/0.37 fof(f38,plain,(
% 0.08/0.37 ~sQ4_spl|~sQ3_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f37])).
% 0.08/0.37 fof(f39,plain,(
% 0.08/0.37 $false|~sQ3_spl|sQ2_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f27,f30])).
% 0.08/0.37 fof(f40,plain,(
% 0.08/0.37 ~sQ3_spl|sQ2_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f39])).
% 0.08/0.37 fof(f41,plain,(
% 0.08/0.37 $false|~sQ4_spl|~sQ1_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f22,f34])).
% 0.08/0.37 fof(f42,plain,(
% 0.08/0.37 ~sQ4_spl|~sQ1_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f41])).
% 0.08/0.37 fof(f43,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(sat_refutation,[status(thm)],[f24,f28,f32,f36,f38,f40,f42])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.40 % Elapsed time: 0.036179 seconds
% 0.08/0.40 % CPU time: 0.053955 seconds
% 0.08/0.40 % Total memory used: 1.029 MB
% 0.08/0.40 % Net memory used: 994.848 KB
%------------------------------------------------------------------------------