%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN345+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 : n018.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 03:19:26 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN345+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
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:52:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 (! [X1,X2] :(? [Y1,Y2] :(! [Z] :( ( ( big_f(X1,X2,Y1)=> big_f(Y2,Y1,Z) )=> ( big_f(X1,X1,X2)=> big_f(X1,X2,X2) ) )=> ( ( ( big_f(X2,Y1,Y2)=> big_f(Y1,Z,Z) )=> ( big_f(X1,X2,X2)=> big_f(X1,X1,X2) ) )=> ( big_f(Y1,Y2,Z)=> ( big_f(X2,X2,Y1)& ( big_f(X1,X1,X2)<=> big_f(X1,X2,X2) ) ) ) ) ) )))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~((! [X1,X2] :(? [Y1,Y2] :(! [Z] :( ( ( big_f(X1,X2,Y1)=> big_f(Y2,Y1,Z) )=> ( big_f(X1,X1,X2)=> big_f(X1,X2,X2) ) )=> ( ( ( big_f(X2,Y1,Y2)=> big_f(Y1,Z,Z) )=> ( big_f(X1,X2,X2)=> big_f(X1,X1,X2) ) )=> ( big_f(Y1,Y2,Z)=> ( big_f(X2,X2,Y1)& ( big_f(X1,X1,X2)<=> big_f(X1,X2,X2) ) ) ) ) ) ))))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 (?[X1,X2]: ![Y1,Y2]: ?[Z]: (((big_f(X1,X2,Y1)&~big_f(Y2,Y1,Z))|(~big_f(X1,X1,X2)|big_f(X1,X2,X2)))&(((big_f(X2,Y1,Y2)&~big_f(Y1,Z,Z))|(~big_f(X1,X2,X2)|big_f(X1,X1,X2)))&(big_f(Y1,Y2,Z)&(~big_f(X2,X2,Y1)|(big_f(X1,X1,X2)<~>big_f(X1,X2,X2)))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ?[X1,X2]: ![Y1,Y2]: ?[Z]: (((big_f(X1,X2,Y1)&~big_f(Y2,Y1,Z))|(~big_f(X1,X1,X2)|big_f(X1,X2,X2)))&(((big_f(X2,Y1,Y2)&~big_f(Y1,Z,Z))|(~big_f(X1,X2,X2)|big_f(X1,X1,X2)))&(big_f(Y1,Y2,Z)&(~big_f(X2,X2,Y1)|((big_f(X1,X1,X2)|big_f(X1,X2,X2))&(~big_f(X1,X1,X2)|~big_f(X1,X2,X2)))))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ![Y1,Y2]: (((big_f(sK0_skl,sK1_skl,Y1)&~big_f(Y2,Y1,sK2_skl(Y2,Y1)))|(~big_f(sK0_skl,sK0_skl,sK1_skl)|big_f(sK0_skl,sK1_skl,sK1_skl)))&(((big_f(sK1_skl,Y1,Y2)&~big_f(Y1,sK2_skl(Y2,Y1),sK2_skl(Y2,Y1)))|(~big_f(sK0_skl,sK1_skl,sK1_skl)|big_f(sK0_skl,sK0_skl,sK1_skl)))&(big_f(Y1,Y2,sK2_skl(Y2,Y1))&(~big_f(sK1_skl,sK1_skl,Y1)|((big_f(sK0_skl,sK0_skl,sK1_skl)|big_f(sK0_skl,sK1_skl,sK1_skl))&(~big_f(sK0_skl,sK0_skl,sK1_skl)|~big_f(sK0_skl,sK1_skl,sK1_skl)))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X1,sK0_skl),skolemize(X2,sK1_skl),skolemize(Z,sK2_skl(Y2,Y1))],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0]: (big_f(sK0_skl,sK1_skl,X0)|~big_f(sK0_skl,sK0_skl,sK1_skl)|big_f(sK0_skl,sK1_skl,sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(X0,X1,sK2_skl(X0,X1))|~big_f(sK0_skl,sK0_skl,sK1_skl)|big_f(sK0_skl,sK1_skl,sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(sK1_skl,X0,X1)|~big_f(sK0_skl,sK1_skl,sK1_skl)|big_f(sK0_skl,sK0_skl,sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0),sK2_skl(X1,X0))|~big_f(sK0_skl,sK1_skl,sK1_skl)|big_f(sK0_skl,sK0_skl,sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(X0,X1,sK2_skl(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0]: (~big_f(sK1_skl,sK1_skl,X0)|big_f(sK0_skl,sK0_skl,sK1_skl)|big_f(sK0_skl,sK1_skl,sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0]: (~big_f(sK1_skl,sK1_skl,X0)|~big_f(sK0_skl,sK0_skl,sK1_skl)|~big_f(sK0_skl,sK1_skl,sK1_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f13,definition,(
% 0.13/0.39 ![X0]: (sQ0_spl <=> (big_f(sK0_skl,sK1_skl,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0]: (big_f(sK0_skl,sK1_skl,X0)|~sQ0_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f13])).
% 0.13/0.39 fof(f16,definition,(
% 0.13/0.39 sQ1_spl <=> (big_f(sK0_skl,sK0_skl,sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f19,definition,(
% 0.13/0.39 sQ2_spl <=> (big_f(sK0_skl,sK1_skl,sK1_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f6,f13,f16,f19])).
% 0.13/0.39 fof(f23,definition,(
% 0.13/0.39 ![X0,X1]: (sQ3_spl <=> (~big_f(X0,X1,sK2_skl(X0,X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(X0,X1,sK2_skl(X0,X1))|~sQ3_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f23])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 sQ3_spl|~sQ1_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f7,f23,f16,f19])).
% 0.13/0.39 fof(f27,definition,(
% 0.13/0.39 ![X0,X1]: (sQ4_spl <=> (big_f(sK1_skl,X0,X1)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1]: (big_f(sK1_skl,X0,X1)|~sQ4_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f27])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 sQ4_spl|~sQ2_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f8,f27,f19,f16])).
% 0.13/0.39 fof(f31,definition,(
% 0.13/0.39 ![X0,X1]: (sQ5_spl <=> (~big_f(X0,sK2_skl(X1,X0),sK2_skl(X1,X0))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0),sK2_skl(X1,X0))|~sQ5_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 sQ5_spl|~sQ2_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f9,f31,f19,f16])).
% 0.13/0.39 fof(f35,definition,(
% 0.13/0.39 ![X0]: (sQ6_spl <=> (~big_f(sK1_skl,sK1_skl,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0]: (~big_f(sK1_skl,sK1_skl,X0)|~sQ6_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f35])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 sQ6_spl|sQ1_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f11,f35,f16,f19])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 sQ6_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f12,f35,f16,f19])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 $false|~sQ3_spl|~sQ0_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f24,f14])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ~sQ3_spl|~sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f42])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 $false|~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f32,f28])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 ~sQ5_spl|~sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f45])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 $false|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f36,f10])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f47])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f22,f26,f30,f34,f38,f39,f44,f46,f48])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.034217 seconds
% 0.13/0.40 % CPU time: 0.088078 seconds
% 0.13/0.40 % Total memory used: 11.475 MB
% 0.13/0.40 % Net memory used: 11.151 MB
%------------------------------------------------------------------------------