%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN082+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 : n017.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 03:18:55 PM UTC 2026
% Result : Theorem 0.08s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN082+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51 % Computer : n017.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Mon Sep 21 10:37:58 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.52 % Drodi V4.1.1
% 0.08/0.53 % Refutation found
% 0.08/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.53 fof(f1,conjecture,(
% 0.08/0.53 (! [X] :( big_f(X,f(X))<=> (? [Y] :( (! [Z] :( big_f(Z,Y)=> big_f(Z,f(X)) ))& big_f(X,Y) ) )) )),
% 0.08/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.53 fof(f2,negated_conjecture,(
% 0.08/0.53 ~((! [X] :( big_f(X,f(X))<=> (? [Y] :( (! [Z] :( big_f(Z,Y)=> big_f(Z,f(X)) ))& big_f(X,Y) ) )) ))),
% 0.08/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.53 fof(f3,plain,(
% 0.08/0.53 (?[X]: (big_f(X,f(X))<~>(?[Y]: ((![Z]: (~big_f(Z,Y)|big_f(Z,f(X))))&big_f(X,Y)))))),
% 0.08/0.53 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.53 fof(f4,plain,(
% 0.08/0.53 ?[X]: ((big_f(X,f(X))|(?[Y]: ((![Z]: (~big_f(Z,Y)|big_f(Z,f(X))))&big_f(X,Y))))&(~big_f(X,f(X))|(![Y]: ((?[Z]: (big_f(Z,Y)&~big_f(Z,f(X))))|~big_f(X,Y)))))),
% 0.08/0.53 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.53 fof(f5,plain,(
% 0.08/0.53 ((big_f(sK0_skl,f(sK0_skl))|((![Z]: (~big_f(Z,sK1_skl)|big_f(Z,f(sK0_skl))))&big_f(sK0_skl,sK1_skl)))&(~big_f(sK0_skl,f(sK0_skl))|(![Y]: ((big_f(sK2_skl(Y),Y)&~big_f(sK2_skl(Y),f(sK0_skl)))|~big_f(sK0_skl,Y)))))),
% 0.08/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl(Y))],[f4])).
% 0.08/0.53 fof(f6,plain,(
% 0.08/0.53 ![X0]: (big_f(sK0_skl,f(sK0_skl))|~big_f(X0,sK1_skl)|big_f(X0,f(sK0_skl)))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.53 fof(f7,plain,(
% 0.08/0.53 big_f(sK0_skl,f(sK0_skl))|big_f(sK0_skl,sK1_skl)),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.53 fof(f8,plain,(
% 0.08/0.53 ![X0]: (~big_f(sK0_skl,f(sK0_skl))|big_f(sK2_skl(X0),X0)|~big_f(sK0_skl,X0))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.53 fof(f9,plain,(
% 0.08/0.53 ![X0]: (~big_f(sK0_skl,f(sK0_skl))|~big_f(sK2_skl(X0),f(sK0_skl))|~big_f(sK0_skl,X0))),
% 0.08/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.53 fof(f10,definition,(
% 0.08/0.53 sQ0_spl <=> (big_f(sK0_skl,f(sK0_skl)))),
% 0.08/0.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.53 fof(f12,plain,(
% 0.08/0.53 ~big_f(sK0_skl,f(sK0_skl))|sQ0_spl),
% 0.08/0.53 inference(component_clause,[status(thm)],[f10])).
% 0.08/0.53 fof(f13,definition,(
% 0.08/0.53 ![X0]: (sQ1_spl <=> (~big_f(X0,sK1_skl)|big_f(X0,f(sK0_skl))))),
% 0.08/0.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.53 fof(f14,plain,(
% 0.08/0.53 ![X0]: (~big_f(X0,sK1_skl)|big_f(X0,f(sK0_skl))|~sQ1_spl)),
% 0.08/0.53 inference(component_clause,[status(thm)],[f13])).
% 0.08/0.53 fof(f16,plain,(
% 0.08/0.53 sQ0_spl|sQ1_spl),
% 0.08/0.53 inference(split_clause,[status(thm)],[f6,f10,f13])).
% 0.08/0.53 fof(f17,definition,(
% 0.08/0.53 sQ2_spl <=> (big_f(sK0_skl,sK1_skl))),
% 0.08/0.53 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.53 fof(f18,plain,(
% 0.08/0.53 big_f(sK0_skl,sK1_skl)|~sQ2_spl),
% 0.08/0.53 inference(component_clause,[status(thm)],[f17])).
% 0.08/0.53 fof(f20,plain,(
% 0.08/0.53 sQ0_spl|sQ2_spl),
% 0.08/0.53 inference(split_clause,[status(thm)],[f7,f10,f17])).
% 0.08/0.53 fof(f21,definition,(
% 0.08/0.53 ![X0]: (sQ3_spl <=> (big_f(sK2_skl(X0),X0)|~big_f(sK0_skl,X0)))),
% 0.08/0.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.53 fof(f22,plain,(
% 0.08/0.53 ![X0]: (big_f(sK2_skl(X0),X0)|~big_f(sK0_skl,X0)|~sQ3_spl)),
% 0.08/0.53 inference(component_clause,[status(thm)],[f21])).
% 0.08/0.53 fof(f24,plain,(
% 0.08/0.53 ~sQ0_spl|sQ3_spl),
% 0.08/0.53 inference(split_clause,[status(thm)],[f8,f10,f21])).
% 0.08/0.53 fof(f25,definition,(
% 0.08/0.53 ![X0]: (sQ4_spl <=> (~big_f(sK2_skl(X0),f(sK0_skl))|~big_f(sK0_skl,X0)))),
% 0.08/0.53 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.53 fof(f26,plain,(
% 0.08/0.53 ![X0]: (~big_f(sK2_skl(X0),f(sK0_skl))|~big_f(sK0_skl,X0)|~sQ4_spl)),
% 0.08/0.53 inference(component_clause,[status(thm)],[f25])).
% 0.08/0.53 fof(f28,plain,(
% 0.08/0.53 ~sQ0_spl|sQ4_spl),
% 0.08/0.53 inference(split_clause,[status(thm)],[f9,f10,f25])).
% 0.08/0.53 fof(f29,plain,(
% 0.08/0.53 ~big_f(sK0_skl,f(sK0_skl))|~big_f(sK0_skl,f(sK0_skl))|~sQ4_spl|~sQ3_spl),
% 0.08/0.53 inference(resolution,[status(thm)],[f26,f22])).
% 0.08/0.53 fof(f31,plain,(
% 0.08/0.53 ~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.08/0.53 inference(split_clause,[status(thm)],[f29,f10,f25,f21])).
% 0.08/0.53 fof(f32,plain,(
% 0.08/0.53 ~big_f(sK0_skl,sK1_skl)|sQ0_spl|~sQ1_spl),
% 0.08/0.53 inference(resolution,[status(thm)],[f12,f14])).
% 0.08/0.53 fof(f33,plain,(
% 0.08/0.53 $false|~sQ2_spl|sQ0_spl|~sQ1_spl),
% 0.08/0.53 inference(forward_subsumption_resolution,[status(thm)],[f32,f18])).
% 0.08/0.54 fof(f34,plain,(
% 0.08/0.54 ~sQ2_spl|sQ0_spl|~sQ1_spl),
% 0.08/0.54 inference(contradiction_clause,[status(thm)],[f33])).
% 0.08/0.54 fof(f35,plain,(
% 0.08/0.54 $false),
% 0.08/0.54 inference(sat_refutation,[status(thm)],[f16,f20,f24,f28,f31,f34])).
% 0.08/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.57 % Elapsed time: 0.040526 seconds
% 0.08/0.57 % CPU time: 0.107878 seconds
% 0.08/0.57 % Total memory used: 16.516 MB
% 0.08/0.57 % Net memory used: 15.968 MB
%------------------------------------------------------------------------------