%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN053+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 : n017.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 03:18:49 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN053+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
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 10:35:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,conjecture,(
% 0.14/0.40 ( (! [X] :( p| big_f(X) ))<=> ( p| (! [X1] : big_f(X1) )) ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,negated_conjecture,(
% 0.14/0.40 ~(( (! [X] :( p| big_f(X) ))<=> ( p| (! [X1] : big_f(X1) )) ) )),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.40 fof(f3,plain,(
% 0.14/0.40 ((![X]: (p|big_f(X)))<~>(p|(![X1]: big_f(X1))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f4,plain,(
% 0.14/0.40 ((![X]: (p|big_f(X)))|(p|(![X1]: big_f(X1))))&((?[X]: (~p&~big_f(X)))|(~p&(?[X1]: ~big_f(X1))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f5,plain,(
% 0.14/0.40 ((p|(![X]: big_f(X)))|(p|(![X1]: big_f(X1))))&((~p&(?[X]: ~big_f(X)))|(~p&(?[X1]: ~big_f(X1))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.40 fof(f6,plain,(
% 0.14/0.40 ((p|(![X]: big_f(X)))|(p|(![X1]: big_f(X1))))&((~p&~big_f(sK0_skl))|(~p&~big_f(sK1_skl)))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X1,sK1_skl)],[f5])).
% 0.14/0.40 fof(f7,plain,(
% 0.14/0.40 ![X0,X1]: (p|big_f(X0)|p|big_f(X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f8,plain,(
% 0.14/0.40 ~p|~p),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ~big_f(sK0_skl)|~big_f(sK1_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f12,definition,(
% 0.14/0.40 sQ0_spl <=> (p)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f15,definition,(
% 0.14/0.40 ![X0]: (sQ1_spl <=> (big_f(X0)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![X0]: (big_f(X0)|~sQ1_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f15])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ~sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f8,f12])).
% 0.14/0.40 fof(f20,definition,(
% 0.14/0.40 sQ2_spl <=> (big_f(sK1_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ~big_f(sK1_skl)|sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f20])).
% 0.14/0.40 fof(f24,definition,(
% 0.14/0.40 sQ3_spl <=> (big_f(sK0_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f26,plain,(
% 0.14/0.40 ~big_f(sK0_skl)|sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f24])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 ~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f11,f24,f20])).
% 0.14/0.40 fof(f29,plain,(
% 0.14/0.40 $false|~sQ1_spl|sQ3_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f26,f16])).
% 0.14/0.40 fof(f30,plain,(
% 0.14/0.40 ~sQ1_spl|sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f29])).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 $false|~sQ1_spl|sQ2_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f22,f16])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 ~sQ1_spl|sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f31])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f18,f19,f28,f30,f32])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.052403 seconds
% 0.14/0.43 % CPU time: 0.117734 seconds
% 0.14/0.43 % Total memory used: 11.332 MB
% 0.14/0.43 % Net memory used: 10.937 MB
%------------------------------------------------------------------------------