%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN354+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 : n002.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 03:19:27 PM UTC 2026
% Result : Theorem 0.12s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN354+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 10:53:48 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,conjecture,(
% 0.12/0.36 (! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,X2)=> ( big_g(X1,X2)=> ( ( ( big_g(X2,Z)<=> big_g(Y2,Z) )=> ( big_f(Y1,Y2)=> big_f(X2,Y2) ) )=> ( ( big_g(X2,Z)<=> big_g(Y1,Z) )=> ( big_f(X1,Y1)& big_f(X2,Y1)& big_f(Y1,Y2) ) ) ) ) ) )))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,negated_conjecture,(
% 0.12/0.36 ~((! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,X2)=> ( big_g(X1,X2)=> ( ( ( big_g(X2,Z)<=> big_g(Y2,Z) )=> ( big_f(Y1,Y2)=> big_f(X2,Y2) ) )=> ( ( big_g(X2,Z)<=> big_g(Y1,Z) )=> ( big_f(X1,Y1)& big_f(X2,Y1)& big_f(Y1,Y2) ) ) ) ) ) ))))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.36 fof(f3,plain,(
% 0.12/0.36 (?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,X2)&(big_g(X1,X2)&(((big_g(X2,Z)<~>big_g(Y2,Z))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&((big_g(X2,Z)<=>big_g(Y1,Z))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2)))))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.36 fof(f4,plain,(
% 0.12/0.36 ?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,X2)&(big_g(X1,X2)&((((big_g(X2,Z)|big_g(Y2,Z))&(~big_g(X2,Z)|~big_g(Y2,Z)))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&(((~big_g(X2,Z)|big_g(Y1,Z))&(big_g(X2,Z)|~big_g(Y1,Z)))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2))))))),
% 0.12/0.36 inference(NNF_transformation,[status(thm)],[f3])).
% 0.12/0.36 fof(f5,plain,(
% 0.12/0.36 ?[X1,X2]: (big_f(X1,X2)&(big_g(X1,X2)&(![Y1,Y2]: ?[Z]: ((((big_g(X2,Z)|big_g(Y2,Z))&(~big_g(X2,Z)|~big_g(Y2,Z)))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&(((~big_g(X2,Z)|big_g(Y1,Z))&(big_g(X2,Z)|~big_g(Y1,Z)))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2)))))))),
% 0.12/0.36 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.36 fof(f6,plain,(
% 0.12/0.36 (big_f(sK0_skl,sK1_skl)&(big_g(sK0_skl,sK1_skl)&(![Y1,Y2]: ((((big_g(sK1_skl,sK2_skl(Y2,Y1))|big_g(Y2,sK2_skl(Y2,Y1)))&(~big_g(sK1_skl,sK2_skl(Y2,Y1))|~big_g(Y2,sK2_skl(Y2,Y1))))|(~big_f(Y1,Y2)|big_f(sK1_skl,Y2)))&(((~big_g(sK1_skl,sK2_skl(Y2,Y1))|big_g(Y1,sK2_skl(Y2,Y1)))&(big_g(sK1_skl,sK2_skl(Y2,Y1))|~big_g(Y1,sK2_skl(Y2,Y1))))&((~big_f(sK0_skl,Y1)|~big_f(sK1_skl,Y1))|~big_f(Y1,Y2)))))))),
% 0.12/0.36 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))],[f5])).
% 0.12/0.36 fof(f7,plain,(
% 0.12/0.36 big_f(sK0_skl,sK1_skl)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.36 fof(f9,plain,(
% 0.12/0.36 ![X0,X1]: (big_g(sK1_skl,sK2_skl(X0,X1))|big_g(X0,sK2_skl(X0,X1))|~big_f(X1,X0)|big_f(sK1_skl,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.36 fof(f10,plain,(
% 0.12/0.36 ![X0,X1]: (~big_g(sK1_skl,sK2_skl(X0,X1))|~big_g(X0,sK2_skl(X0,X1))|~big_f(X1,X0)|big_f(sK1_skl,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(sK0_skl,X0)|~big_f(sK1_skl,X0)|~big_f(X0,X1))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.36 fof(f14,plain,(
% 0.12/0.36 big_g(sK1_skl,sK2_skl(sK1_skl,sK0_skl))|big_g(sK1_skl,sK2_skl(sK1_skl,sK0_skl))|big_f(sK1_skl,sK1_skl)),
% 0.12/0.36 inference(resolution,[status(thm)],[f9,f7])).
% 0.12/0.36 fof(f15,definition,(
% 0.12/0.36 sQ0_spl <=> (big_g(sK1_skl,sK2_skl(sK1_skl,sK0_skl)))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f18,definition,(
% 0.12/0.36 sQ1_spl <=> (big_f(sK1_skl,sK1_skl))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 big_f(sK1_skl,sK1_skl)|~sQ1_spl),
% 0.12/0.36 inference(component_clause,[status(thm)],[f18])).
% 0.12/0.36 fof(f21,plain,(
% 0.12/0.36 sQ0_spl|sQ1_spl),
% 0.12/0.36 inference(split_clause,[status(thm)],[f14,f15,f18])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ~big_g(sK1_skl,sK2_skl(sK1_skl,sK0_skl))|~big_g(sK1_skl,sK2_skl(sK1_skl,sK0_skl))|big_f(sK1_skl,sK1_skl)),
% 0.12/0.36 inference(resolution,[status(thm)],[f10,f7])).
% 0.12/0.36 fof(f23,plain,(
% 0.12/0.36 ~sQ0_spl|sQ1_spl),
% 0.12/0.36 inference(split_clause,[status(thm)],[f22,f15,f18])).
% 0.12/0.36 fof(f24,plain,(
% 0.12/0.36 ![X0]: (~big_f(sK0_skl,sK1_skl)|~big_f(sK1_skl,X0)|~sQ1_spl)),
% 0.12/0.36 inference(resolution,[status(thm)],[f19,f13])).
% 0.12/0.36 fof(f27,definition,(
% 0.12/0.36 sQ2_spl <=> (big_f(sK0_skl,sK1_skl))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 ~big_f(sK0_skl,sK1_skl)|sQ2_spl),
% 0.12/0.36 inference(component_clause,[status(thm)],[f27])).
% 0.12/0.36 fof(f30,definition,(
% 0.12/0.36 ![X0]: (sQ3_spl <=> (~big_f(sK1_skl,X0)))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 ![X0]: (~big_f(sK1_skl,X0)|~sQ3_spl)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f30])).
% 0.12/0.36 fof(f33,plain,(
% 0.12/0.36 ~sQ2_spl|sQ3_spl|~sQ1_spl),
% 0.12/0.36 inference(split_clause,[status(thm)],[f24,f27,f30,f18])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 $false|sQ2_spl),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f29,f7])).
% 0.12/0.36 fof(f40,plain,(
% 0.12/0.36 sQ2_spl),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f39])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 $false|~sQ3_spl|~sQ1_spl),
% 0.12/0.36 inference(backward_subsumption_resolution,[status(thm)],[f19,f31])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 ~sQ3_spl|~sQ1_spl),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f43])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f21,f23,f33,f40,f44])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.033472 seconds
% 0.12/0.38 % CPU time: 0.090918 seconds
% 0.12/0.38 % Total memory used: 14.089 MB
% 0.12/0.38 % Net memory used: 13.642 MB
%------------------------------------------------------------------------------