%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN412+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 : n016.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 03:19:35 PM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN412+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
% 0.15/0.40 % Computer : n016.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 10:58:22 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 % Drodi V4.1.1
% 0.15/0.44 % Refutation found
% 0.15/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.44 fof(f1,conjecture,(
% 0.15/0.44 ~ (? [X] :(! [Y] :( f(X,Y)<=> ~ f(X,X) ) ))),
% 0.15/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f2,negated_conjecture,(
% 0.15/0.44 ~(~ (? [X] :(! [Y] :( f(X,Y)<=> ~ f(X,X) ) )))),
% 0.15/0.44 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.44 fof(f3,plain,(
% 0.15/0.44 ?[X]: ![Y]: ((~f(X,Y)|~f(X,X))&(f(X,Y)|f(X,X)))),
% 0.15/0.44 inference(NNF_transformation,[status(thm)],[f2])).
% 0.15/0.44 fof(f4,plain,(
% 0.15/0.44 ?[X]: (((![Y]: ~f(X,Y))|~f(X,X))&((![Y]: f(X,Y))|f(X,X)))),
% 0.15/0.44 inference(miniscoping,[status(thm)],[f3])).
% 0.15/0.44 fof(f5,plain,(
% 0.15/0.44 (((![Y]: ~f(sK0_skl,Y))|~f(sK0_skl,sK0_skl))&((![Y]: f(sK0_skl,Y))|f(sK0_skl,sK0_skl)))),
% 0.15/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f4])).
% 0.15/0.44 fof(f6,plain,(
% 0.15/0.44 ![X0]: (~f(sK0_skl,X0)|~f(sK0_skl,sK0_skl))),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.44 fof(f7,plain,(
% 0.15/0.44 ![X0]: (f(sK0_skl,X0)|f(sK0_skl,sK0_skl))),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.44 fof(f8,definition,(
% 0.15/0.44 ![X0]: (sQ0_spl <=> (~f(sK0_skl,X0)))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f9,plain,(
% 0.15/0.44 ![X0]: (~f(sK0_skl,X0)|~sQ0_spl)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f8])).
% 0.15/0.44 fof(f11,definition,(
% 0.15/0.44 sQ1_spl <=> (f(sK0_skl,sK0_skl))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f12,plain,(
% 0.15/0.44 f(sK0_skl,sK0_skl)|~sQ1_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f11])).
% 0.15/0.44 fof(f13,plain,(
% 0.15/0.44 ~f(sK0_skl,sK0_skl)|sQ1_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f11])).
% 0.15/0.44 fof(f14,plain,(
% 0.15/0.44 sQ0_spl|~sQ1_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f6,f8,f11])).
% 0.15/0.44 fof(f15,definition,(
% 0.15/0.44 ![X0]: (sQ2_spl <=> (f(sK0_skl,X0)))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f16,plain,(
% 0.15/0.44 ![X0]: (f(sK0_skl,X0)|~sQ2_spl)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f15])).
% 0.15/0.44 fof(f18,plain,(
% 0.15/0.44 sQ2_spl|sQ1_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f7,f15,f11])).
% 0.15/0.44 fof(f19,plain,(
% 0.15/0.44 $false|~sQ2_spl|~sQ0_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f9,f16])).
% 0.15/0.44 fof(f20,plain,(
% 0.15/0.44 ~sQ2_spl|~sQ0_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f19])).
% 0.15/0.44 fof(f21,plain,(
% 0.15/0.44 $false|~sQ0_spl|~sQ1_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f12,f9])).
% 0.15/0.44 fof(f22,plain,(
% 0.15/0.44 ~sQ0_spl|~sQ1_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f21])).
% 0.15/0.44 fof(f23,plain,(
% 0.15/0.44 $false|~sQ2_spl|sQ1_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f13,f16])).
% 0.15/0.44 fof(f24,plain,(
% 0.15/0.44 ~sQ2_spl|sQ1_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f23])).
% 0.15/0.44 fof(f25,plain,(
% 0.15/0.44 $false),
% 0.15/0.44 inference(sat_refutation,[status(thm)],[f14,f18,f20,f22,f24])).
% 0.15/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.47 % Elapsed time: 0.060441 seconds
% 0.15/0.47 % CPU time: 0.148500 seconds
% 0.15/0.47 % Total memory used: 16.399 MB
% 0.15/0.47 % Net memory used: 15.770 MB
%------------------------------------------------------------------------------