%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% 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 03:21:36 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n013.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 11:30:21 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,conjecture,(
% 0.12/0.38 ( (? [X] : p(X))=> ( (? [X] : p(X))& ( a=> ( ( b| ~ b )& ( q=> q ) ) ) ) ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,negated_conjecture,(
% 0.12/0.38 ~(( (? [X] : p(X))=> ( (? [X] : p(X))& ( a=> ( ( b| ~ b )& ( q=> q ) ) ) ) ) )),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.38 fof(f3,plain,(
% 0.12/0.38 ((?[X]: p(X))&((![X]: ~p(X))|(a&((~b&b)|(q&~q)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f4,definition,(
% 0.12/0.38 sP0_prd<=>(~b&b)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.38 fof(f5,plain,(
% 0.12/0.38 (?[X]: p(X))&((![X]: ~p(X))|(a&(sP0_prd|(q&~q))))),
% 0.12/0.38 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 p(sK0_skl)&((![X]: ~p(X))|(a&(sP0_prd|(q&~q))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f5])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 p(sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X0]: (~p(X0)|a)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0]: (~p(X0)|sP0_prd|q)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0]: (~p(X0)|sP0_prd|~q)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 (~sP0_prd|(~b&b))&(sP0_prd|(b|~b))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ~sP0_prd|~b),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ~sP0_prd|b),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.38 fof(f15,definition,(
% 0.12/0.38 ![X0]: (sQ0_spl <=> (~p(X0)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X0]: (~p(X0)|~sQ0_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f15])).
% 0.12/0.38 fof(f18,definition,(
% 0.12/0.38 sQ1_spl <=> (a)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 sQ0_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f8,f15,f18])).
% 0.12/0.38 fof(f22,definition,(
% 0.12/0.38 sQ2_spl <=> (sP0_prd)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f25,definition,(
% 0.12/0.38 sQ3_spl <=> (q)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 sQ0_spl|sQ2_spl|sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f9,f15,f22,f25])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 sQ0_spl|sQ2_spl|~sQ3_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f10,f15,f22,f25])).
% 0.12/0.38 fof(f30,definition,(
% 0.12/0.38 sQ4_spl <=> (b)),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 ~sQ2_spl|~sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f12,f22,f30])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 ~sQ2_spl|sQ4_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f13,f22,f30])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 $false|~sQ0_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f7,f16])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 ~sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f36])).
% 0.12/0.38 fof(f38,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f21,f28,f29,f33,f34,f37])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.039753 seconds
% 0.12/0.40 % CPU time: 0.111658 seconds
% 0.12/0.40 % Total memory used: 14.975 MB
% 0.12/0.40 % Net memory used: 14.477 MB
%------------------------------------------------------------------------------