%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN922+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:21:33 PM UTC 2026
% Result : Theorem 0.14s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN922+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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 11:31:31 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,conjecture,(
% 0.14/0.37 ( (! [X] :( p(X)& q(X) ))<=> ( (! [X] : p(X))& (! [X] : q(X) )) ) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,negated_conjecture,(
% 0.14/0.37 ~(( (! [X] :( p(X)& q(X) ))<=> ( (! [X] : p(X))& (! [X] : q(X) )) ) )),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.37 fof(f3,plain,(
% 0.14/0.37 ((![X]: (p(X)&q(X)))<~>((![X]: p(X))&(![X]: q(X))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.37 fof(f4,definition,(
% 0.14/0.37 sP0_prd<=>((![X]: p(X))&(![X]: q(X)))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.37 fof(f5,plain,(
% 0.14/0.37 (![X]: (p(X)&q(X)))<~>sP0_prd),
% 0.14/0.37 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.14/0.37 fof(f6,plain,(
% 0.14/0.37 ((![X]: (p(X)&q(X)))|sP0_prd)&((?[X]: (~p(X)|~q(X)))|~sP0_prd)),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f5])).
% 0.14/0.37 fof(f7,plain,(
% 0.14/0.37 (((![X]: p(X))&(![X]: q(X)))|sP0_prd)&(((?[X]: ~p(X))|(?[X]: ~q(X)))|~sP0_prd)),
% 0.14/0.37 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.37 fof(f8,plain,(
% 0.14/0.37 (((![X]: p(X))&(![X]: q(X)))|sP0_prd)&((~p(sK0_skl)|~q(sK1_skl))|~sP0_prd)),
% 0.14/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f7])).
% 0.14/0.37 fof(f9,plain,(
% 0.14/0.37 ![X0]: (p(X0)|sP0_prd)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.37 fof(f10,plain,(
% 0.14/0.37 ![X0]: (q(X0)|sP0_prd)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.37 fof(f11,plain,(
% 0.14/0.37 ~p(sK0_skl)|~q(sK1_skl)|~sP0_prd),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.37 fof(f12,plain,(
% 0.14/0.37 (~sP0_prd|((![X]: p(X))&(![X]: q(X))))&(sP0_prd|((?[X]: ~p(X))|(?[X]: ~q(X))))),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.37 fof(f13,plain,(
% 0.14/0.37 (~sP0_prd|((![X]: p(X))&(![X]: q(X))))&(sP0_prd|(~p(sK2_skl)|~q(sK3_skl)))),
% 0.14/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X,sK2_skl),skolemize(X,sK3_skl)],[f12])).
% 0.14/0.37 fof(f14,plain,(
% 0.14/0.37 ![X0]: (~sP0_prd|p(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.37 fof(f15,plain,(
% 0.14/0.37 ![X0]: (~sP0_prd|q(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.37 fof(f16,plain,(
% 0.14/0.37 sP0_prd|~p(sK2_skl)|~q(sK3_skl)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.37 fof(f17,definition,(
% 0.14/0.37 ![X0]: (sQ0_spl <=> (p(X0)))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f18,plain,(
% 0.14/0.37 ![X0]: (p(X0)|~sQ0_spl)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f17])).
% 0.14/0.37 fof(f20,definition,(
% 0.14/0.37 sQ1_spl <=> (sP0_prd)),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f23,plain,(
% 0.14/0.37 sQ0_spl|sQ1_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f9,f17,f20])).
% 0.14/0.37 fof(f24,definition,(
% 0.14/0.37 ![X0]: (sQ2_spl <=> (q(X0)))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f25,plain,(
% 0.14/0.37 ![X0]: (q(X0)|~sQ2_spl)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f24])).
% 0.14/0.37 fof(f27,plain,(
% 0.14/0.37 sQ2_spl|sQ1_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.14/0.37 fof(f28,definition,(
% 0.14/0.37 sQ3_spl <=> (p(sK0_skl))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f30,plain,(
% 0.14/0.37 ~p(sK0_skl)|sQ3_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f28])).
% 0.14/0.37 fof(f31,definition,(
% 0.14/0.37 sQ4_spl <=> (q(sK1_skl))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f33,plain,(
% 0.14/0.37 ~q(sK1_skl)|sQ4_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f31])).
% 0.14/0.37 fof(f34,plain,(
% 0.14/0.37 ~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f11,f28,f31,f20])).
% 0.14/0.37 fof(f35,plain,(
% 0.14/0.37 ~sQ1_spl|sQ0_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f14,f20,f17])).
% 0.14/0.37 fof(f36,plain,(
% 0.14/0.37 ~sQ1_spl|sQ2_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f15,f20,f24])).
% 0.14/0.37 fof(f37,definition,(
% 0.14/0.37 sQ5_spl <=> (p(sK2_skl))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f39,plain,(
% 0.14/0.37 ~p(sK2_skl)|sQ5_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f37])).
% 0.14/0.37 fof(f40,definition,(
% 0.14/0.37 sQ6_spl <=> (q(sK3_skl))),
% 0.14/0.37 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.37 fof(f42,plain,(
% 0.14/0.37 ~q(sK3_skl)|sQ6_spl),
% 0.14/0.37 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.37 fof(f43,plain,(
% 0.14/0.37 sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.37 inference(split_clause,[status(thm)],[f16,f20,f37,f40])).
% 0.14/0.37 fof(f44,plain,(
% 0.14/0.37 $false|~sQ2_spl|sQ6_spl),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f42,f25])).
% 0.14/0.37 fof(f45,plain,(
% 0.14/0.37 ~sQ2_spl|sQ6_spl),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f44])).
% 0.14/0.37 fof(f46,plain,(
% 0.14/0.37 $false|~sQ0_spl|sQ5_spl),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f39,f18])).
% 0.14/0.37 fof(f47,plain,(
% 0.14/0.37 ~sQ0_spl|sQ5_spl),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f46])).
% 0.14/0.37 fof(f48,plain,(
% 0.14/0.37 $false|~sQ0_spl|sQ3_spl),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f30,f18])).
% 0.14/0.37 fof(f49,plain,(
% 0.14/0.37 ~sQ0_spl|sQ3_spl),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f48])).
% 0.14/0.37 fof(f50,plain,(
% 0.14/0.37 $false|~sQ2_spl|sQ4_spl),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f33,f25])).
% 0.14/0.37 fof(f51,plain,(
% 0.14/0.37 ~sQ2_spl|sQ4_spl),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f50])).
% 0.14/0.37 fof(f52,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f23,f27,f34,f35,f36,f43,f45,f47,f49,f51])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.030388 seconds
% 0.14/0.39 % CPU time: 0.087666 seconds
% 0.14/0.39 % Total memory used: 12.940 MB
% 0.14/0.39 % Net memory used: 12.492 MB
%------------------------------------------------------------------------------