%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN358+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 : 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 03:19:28 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN358+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
% 0.11/0.36 % Computer : n013.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 10:51:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,conjecture,(
% 0.14/0.39 ( (? [X] :( p& big_q(X) ))<=> ( p& (? [X] : big_q(X) )) ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,negated_conjecture,(
% 0.14/0.39 ~(( (? [X] :( p& big_q(X) ))<=> ( p& (? [X] : big_q(X) )) ) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.39 fof(f3,plain,(
% 0.14/0.39 ((?[X]: (p&big_q(X)))<~>(p&(?[X]: big_q(X))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f4,definition,(
% 0.14/0.39 sP0_prd<=>(p&(?[X]: big_q(X)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.39 fof(f5,plain,(
% 0.14/0.39 (?[X]: (p&big_q(X)))<~>sP0_prd),
% 0.14/0.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.14/0.39 fof(f6,plain,(
% 0.14/0.39 ((?[X]: (p&big_q(X)))|sP0_prd)&((![X]: (~p|~big_q(X)))|~sP0_prd)),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f7,plain,(
% 0.14/0.39 ((p&(?[X]: big_q(X)))|sP0_prd)&((~p|(![X]: ~big_q(X)))|~sP0_prd)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.39 fof(f8,plain,(
% 0.14/0.39 ((p&big_q(sK0_skl))|sP0_prd)&((~p|(![X]: ~big_q(X)))|~sP0_prd)),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f7])).
% 0.14/0.39 fof(f9,plain,(
% 0.14/0.39 p|sP0_prd),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 big_q(sK0_skl)|sP0_prd),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ![X0]: (~p|~big_q(X0)|~sP0_prd)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 (~sP0_prd|(p&(?[X]: big_q(X))))&(sP0_prd|(~p|(![X]: ~big_q(X))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 (~sP0_prd|(p&big_q(sK1_skl)))&(sP0_prd|(~p|(![X]: ~big_q(X))))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl)],[f12])).
% 0.14/0.39 fof(f14,plain,(
% 0.14/0.39 ~sP0_prd|p),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 ~sP0_prd|big_q(sK1_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f16,plain,(
% 0.14/0.39 ![X0]: (sP0_prd|~p|~big_q(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f17,definition,(
% 0.14/0.39 sQ0_spl <=> (p)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f20,definition,(
% 0.14/0.39 sQ1_spl <=> (sP0_prd)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f23,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f9,f17,f20])).
% 0.14/0.39 fof(f24,definition,(
% 0.14/0.39 sQ2_spl <=> (big_q(sK0_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f25,plain,(
% 0.14/0.39 big_q(sK0_skl)|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f24])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 sQ2_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.14/0.39 fof(f28,definition,(
% 0.14/0.39 ![X0]: (sQ3_spl <=> (~big_q(X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f29,plain,(
% 0.14/0.39 ![X0]: (~big_q(X0)|~sQ3_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f28])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 ~sQ0_spl|sQ3_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f11,f17,f28,f20])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ~sQ1_spl|sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f14,f20,f17])).
% 0.14/0.39 fof(f33,definition,(
% 0.14/0.39 sQ4_spl <=> (big_q(sK1_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 big_q(sK1_skl)|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f33])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 ~sQ1_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f15,f20,f33])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 sQ1_spl|~sQ0_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f16,f20,f17,f28])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 $false|~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f34,f29])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 ~sQ3_spl|~sQ4_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f38])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 $false|~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f29])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 ~sQ3_spl|~sQ2_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f40])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f23,f27,f31,f32,f36,f37,f39,f41])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.044961 seconds
% 0.14/0.43 % CPU time: 0.110277 seconds
% 0.14/0.43 % Total memory used: 16.520 MB
% 0.14/0.43 % Net memory used: 15.948 MB
%------------------------------------------------------------------------------