%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN396+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 : n007.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 03:19:33 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN396+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 10:50:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.47 fof(f1,conjecture,(
% 0.17/0.47 ( ~ (! [X] : f(X))<=> (? [Y] : ~ f(Y) )) ),
% 0.17/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.47 fof(f2,negated_conjecture,(
% 0.17/0.47 ~(( ~ (! [X] : f(X))<=> (? [Y] : ~ f(Y) )) )),
% 0.17/0.47 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.47 fof(f3,plain,(
% 0.17/0.47 ((?[X]: ~f(X))<~>(?[Y]: ~f(Y)))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.17/0.47 fof(f4,plain,(
% 0.17/0.47 ((?[X]: ~f(X))|(?[Y]: ~f(Y)))&((![X]: f(X))|(![Y]: f(Y)))),
% 0.17/0.47 inference(NNF_transformation,[status(thm)],[f3])).
% 0.17/0.47 fof(f5,plain,(
% 0.17/0.47 (~f(sK0_skl)|~f(sK1_skl))&((![X]: f(X))|(![Y]: f(Y)))),
% 0.17/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f4])).
% 0.17/0.47 fof(f6,plain,(
% 0.17/0.47 ~f(sK0_skl)|~f(sK1_skl)),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.47 fof(f7,plain,(
% 0.17/0.47 ![X0,X1]: (f(X0)|f(X1))),
% 0.17/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.47 fof(f8,definition,(
% 0.17/0.47 sQ0_spl <=> (f(sK0_skl))),
% 0.17/0.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.47 fof(f10,plain,(
% 0.17/0.47 ~f(sK0_skl)|sQ0_spl),
% 0.17/0.47 inference(component_clause,[status(thm)],[f8])).
% 0.17/0.47 fof(f11,definition,(
% 0.17/0.47 sQ1_spl <=> (f(sK1_skl))),
% 0.17/0.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.47 fof(f13,plain,(
% 0.17/0.47 ~f(sK1_skl)|sQ1_spl),
% 0.17/0.47 inference(component_clause,[status(thm)],[f11])).
% 0.17/0.47 fof(f14,plain,(
% 0.17/0.47 ~sQ0_spl|~sQ1_spl),
% 0.17/0.47 inference(split_clause,[status(thm)],[f6,f8,f11])).
% 0.17/0.47 fof(f15,definition,(
% 0.17/0.47 ![X0]: (sQ2_spl <=> (f(X0)))),
% 0.17/0.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.47 fof(f16,plain,(
% 0.17/0.47 ![X0]: (f(X0)|~sQ2_spl)),
% 0.17/0.47 inference(component_clause,[status(thm)],[f15])).
% 0.17/0.47 fof(f18,plain,(
% 0.17/0.47 sQ2_spl),
% 0.17/0.47 inference(split_clause,[status(thm)],[f7,f15])).
% 0.17/0.47 fof(f19,plain,(
% 0.17/0.47 $false|~sQ2_spl|sQ0_spl),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f10,f16])).
% 0.17/0.47 fof(f20,plain,(
% 0.17/0.47 ~sQ2_spl|sQ0_spl),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f19])).
% 0.17/0.47 fof(f21,plain,(
% 0.17/0.47 $false|~sQ2_spl|sQ1_spl),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f13,f16])).
% 0.17/0.47 fof(f22,plain,(
% 0.17/0.47 ~sQ2_spl|sQ1_spl),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f21])).
% 0.17/0.47 fof(f23,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(sat_refutation,[status(thm)],[f14,f18,f20,f22])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.51 % Elapsed time: 0.064663 seconds
% 0.23/0.51 % CPU time: 0.105723 seconds
% 0.23/0.51 % Total memory used: 11.298 MB
% 0.23/0.51 % Net memory used: 10.862 MB
%------------------------------------------------------------------------------