%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN347+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.12s 15.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN347+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n006.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Mon Sep 21 10:50:59 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 % Drodi V4.1.1
% 0.12/15.41 % Refutation found
% 0.12/15.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/15.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/15.41 fof(f1,conjecture,(
% 0.12/15.41 (! [Z1,Z2] :(? [X1,X2] :(! [Y] :( ( ( big_f(X1,Y)<=> big_f(X2,Y) )<=> big_f(Z1,Z2) )| ( big_f(Z1,Y)<=> big_f(Z2,Y) ) ) )))),
% 0.12/15.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/15.41 fof(f2,negated_conjecture,(
% 0.12/15.41 ~((! [Z1,Z2] :(? [X1,X2] :(! [Y] :( ( ( big_f(X1,Y)<=> big_f(X2,Y) )<=> big_f(Z1,Z2) )| ( big_f(Z1,Y)<=> big_f(Z2,Y) ) ) ))))),
% 0.12/15.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/15.41 fof(f3,plain,(
% 0.12/15.41 (?[Z1,Z2]: ![X1,X2]: ?[Y]: (((big_f(X1,Y)<=>big_f(X2,Y))<~>big_f(Z1,Z2))&(big_f(Z1,Y)<~>big_f(Z2,Y))))),
% 0.12/15.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/15.41 fof(f4,plain,(
% 0.12/15.41 ?[Z1,Z2]: ![X1,X2]: ?[Y]: (((((~big_f(X1,Y)|big_f(X2,Y))&(big_f(X1,Y)|~big_f(X2,Y)))|big_f(Z1,Z2))&(((~big_f(X1,Y)|~big_f(X2,Y))&(big_f(X1,Y)|big_f(X2,Y)))|~big_f(Z1,Z2)))&((big_f(Z1,Y)|big_f(Z2,Y))&(~big_f(Z1,Y)|~big_f(Z2,Y))))),
% 0.12/15.41 inference(NNF_transformation,[status(thm)],[f3])).
% 0.12/15.41 fof(f5,plain,(
% 0.12/15.41 ![X1,X2]: (((((~big_f(X1,sK2_skl(X2,X1))|big_f(X2,sK2_skl(X2,X1)))&(big_f(X1,sK2_skl(X2,X1))|~big_f(X2,sK2_skl(X2,X1))))|big_f(sK0_skl,sK1_skl))&(((~big_f(X1,sK2_skl(X2,X1))|~big_f(X2,sK2_skl(X2,X1)))&(big_f(X1,sK2_skl(X2,X1))|big_f(X2,sK2_skl(X2,X1))))|~big_f(sK0_skl,sK1_skl)))&((big_f(sK0_skl,sK2_skl(X2,X1))|big_f(sK1_skl,sK2_skl(X2,X1)))&(~big_f(sK0_skl,sK2_skl(X2,X1))|~big_f(sK1_skl,sK2_skl(X2,X1)))))),
% 0.12/15.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Z1,sK0_skl),skolemize(Z2,sK1_skl),skolemize(Y,sK2_skl(X2,X1))],[f4])).
% 0.12/15.41 fof(f6,plain,(
% 0.12/15.41 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0))|big_f(sK0_skl,sK1_skl))),
% 0.12/15.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/15.41 fof(f7,plain,(
% 0.12/15.41 ![X0,X1]: (big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0))|big_f(sK0_skl,sK1_skl))),
% 0.12/15.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/15.41 fof(f8,plain,(
% 0.12/15.41 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0))|~big_f(sK0_skl,sK1_skl))),
% 0.12/15.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/15.41 fof(f9,plain,(
% 0.12/15.41 ![X0,X1]: (big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0))|~big_f(sK0_skl,sK1_skl))),
% 0.12/15.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/15.41 fof(f10,plain,(
% 0.12/15.41 ![X0,X1]: (big_f(sK0_skl,sK2_skl(X0,X1))|big_f(sK1_skl,sK2_skl(X0,X1)))),
% 0.12/15.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/15.41 fof(f11,plain,(
% 0.12/15.41 ![X0,X1]: (~big_f(sK0_skl,sK2_skl(X0,X1))|~big_f(sK1_skl,sK2_skl(X0,X1)))),
% 0.12/15.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/15.41 fof(f12,definition,(
% 0.12/15.41 ![X0,X1]: (sQ0_spl <=> (~big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0))))),
% 0.12/15.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/15.41 fof(f13,plain,(
% 0.12/15.41 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0))|~sQ0_spl)),
% 0.12/15.41 inference(component_clause,[status(thm)],[f12])).
% 0.12/15.41 fof(f15,definition,(
% 0.12/15.41 sQ1_spl <=> (big_f(sK0_skl,sK1_skl))),
% 0.12/15.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/15.41 fof(f18,plain,(
% 0.12/15.41 sQ0_spl|sQ1_spl),
% 0.12/15.41 inference(split_clause,[status(thm)],[f6,f12,f15])).
% 0.12/15.41 fof(f19,definition,(
% 0.12/15.41 ![X0,X1]: (sQ2_spl <=> (big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0))))),
% 0.12/15.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/15.41 fof(f20,plain,(
% 0.12/15.41 ![X0,X1]: (big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0))|~sQ2_spl)),
% 0.12/15.41 inference(component_clause,[status(thm)],[f19])).
% 0.12/15.41 fof(f22,plain,(
% 0.12/15.41 sQ2_spl|sQ1_spl),
% 0.12/15.41 inference(split_clause,[status(thm)],[f7,f19,f15])).
% 0.12/15.41 fof(f23,definition,(
% 0.12/15.41 ![X0,X1]: (sQ3_spl <=> (~big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0))))),
% 0.12/15.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/15.41 fof(f24,plain,(
% 0.12/15.41 ![X0,X1]: (~big_f(X0,sK2_skl(X1,X0))|~big_f(X1,sK2_skl(X1,X0))|~sQ3_spl)),
% 0.12/15.41 inference(component_clause,[status(thm)],[f23])).
% 0.12/15.41 fof(f26,plain,(
% 0.12/15.41 sQ3_spl|~sQ1_spl),
% 0.12/15.41 inference(split_clause,[status(thm)],[f8,f23,f15])).
% 0.12/15.41 fof(f27,definition,(
% 0.12/15.41 ![X0,X1]: (sQ4_spl <=> (big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0))))),
% 0.12/15.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/15.42 fof(f28,plain,(
% 0.12/15.42 ![X0,X1]: (big_f(X0,sK2_skl(X1,X0))|big_f(X1,sK2_skl(X1,X0))|~sQ4_spl)),
% 0.12/15.42 inference(component_clause,[status(thm)],[f27])).
% 0.12/15.42 fof(f30,plain,(
% 0.12/15.42 sQ4_spl|~sQ1_spl),
% 0.12/15.42 inference(split_clause,[status(thm)],[f9,f27,f15])).
% 0.12/15.42 fof(f31,plain,(
% 0.12/15.42 ![X0]: (~big_f(X0,sK2_skl(X0,X0))|~sQ3_spl|~sQ4_spl)),
% 0.12/15.42 inference(resolution,[status(thm)],[f24,f28])).
% 0.12/15.42 fof(f35,plain,(
% 0.12/15.42 $false|~sQ3_spl|~sQ4_spl),
% 0.12/15.42 inference(resolution,[status(thm)],[f31,f28])).
% 0.12/15.42 fof(f39,plain,(
% 0.12/15.42 ~sQ3_spl|~sQ4_spl),
% 0.12/15.42 inference(contradiction_clause,[status(thm)],[f35])).
% 0.12/15.42 fof(f40,plain,(
% 0.12/15.42 ![X0]: (~big_f(sK1_skl,sK2_skl(sK0_skl,X0))|~big_f(X0,sK2_skl(sK0_skl,X0))|~sQ0_spl)),
% 0.12/15.42 inference(resolution,[status(thm)],[f11,f13])).
% 0.12/15.42 fof(f43,plain,(
% 0.12/15.42 ~big_f(sK1_skl,sK2_skl(sK0_skl,sK1_skl))|~big_f(sK0_skl,sK2_skl(sK0_skl,sK1_skl))|~sQ0_spl|~sQ2_spl),
% 0.12/15.42 inference(resolution,[status(thm)],[f40,f20])).
% 0.12/15.42 fof(f44,definition,(
% 0.12/15.42 sQ5_spl <=> (big_f(sK1_skl,sK2_skl(sK0_skl,sK1_skl)))),
% 0.12/15.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/15.42 fof(f46,plain,(
% 0.12/15.42 ~big_f(sK1_skl,sK2_skl(sK0_skl,sK1_skl))|sQ5_spl),
% 0.12/15.42 inference(component_clause,[status(thm)],[f44])).
% 0.12/15.42 fof(f47,definition,(
% 0.12/15.42 sQ6_spl <=> (big_f(sK0_skl,sK2_skl(sK0_skl,sK1_skl)))),
% 0.12/15.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/15.42 fof(f49,plain,(
% 0.12/15.42 ~big_f(sK0_skl,sK2_skl(sK0_skl,sK1_skl))|sQ6_spl),
% 0.12/15.42 inference(component_clause,[status(thm)],[f47])).
% 0.12/15.42 fof(f50,plain,(
% 0.12/15.42 ~sQ5_spl|~sQ6_spl|~sQ0_spl|~sQ2_spl),
% 0.12/15.42 inference(split_clause,[status(thm)],[f43,f44,f47,f12,f19])).
% 0.12/15.42 fof(f58,plain,(
% 0.12/15.42 big_f(sK0_skl,sK2_skl(sK0_skl,sK1_skl))|sQ5_spl),
% 0.12/15.42 inference(resolution,[status(thm)],[f46,f10])).
% 0.12/15.42 fof(f61,plain,(
% 0.12/15.42 ~big_f(sK0_skl,sK2_skl(sK0_skl,sK1_skl))|~sQ2_spl|sQ5_spl),
% 0.12/15.42 inference(resolution,[status(thm)],[f20,f46])).
% 0.12/15.42 fof(f63,plain,(
% 0.12/15.42 $false|~sQ2_spl|sQ5_spl),
% 0.12/15.42 inference(forward_subsumption_resolution,[status(thm)],[f61,f58])).
% 0.12/15.42 fof(f64,plain,(
% 0.12/15.42 ~sQ2_spl|sQ5_spl),
% 0.12/15.42 inference(contradiction_clause,[status(thm)],[f63])).
% 0.12/15.42 fof(f65,plain,(
% 0.12/15.42 ~big_f(sK1_skl,sK2_skl(sK0_skl,sK1_skl))|sQ6_spl|~sQ0_spl),
% 0.12/15.42 inference(resolution,[status(thm)],[f49,f13])).
% 0.12/15.42 fof(f66,plain,(
% 0.12/15.42 ~sQ5_spl|sQ6_spl|~sQ0_spl),
% 0.12/15.42 inference(split_clause,[status(thm)],[f65,f44,f47,f12])).
% 0.12/15.42 fof(f67,plain,(
% 0.12/15.42 $false),
% 0.12/15.42 inference(sat_refutation,[status(thm)],[f18,f22,f26,f30,f39,f50,f64,f66])).
% 0.12/15.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/15.44 % Elapsed time: 0.054844 seconds
% 0.12/15.44 % CPU time: 0.112086 seconds
% 0.12/15.44 % Total memory used: 16.678 MB
% 0.12/15.44 % Net memory used: 16.210 MB
%------------------------------------------------------------------------------