%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN070+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 : 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 03:18:53 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:45:02 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (! [X,Y] :( ( big_f(X)& ( ( big_f(Y)& big_h(Y,X) )=> big_g(Y) ) )=> big_g(X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 ( (? [X] :( big_f(X)& ~ big_g(X) ))=> (? [X1] :( big_f(X1)& ~ big_g(X1)& (! [Y] :( ( big_f(Y)& ~ big_g(Y) )=> big_j(X1,Y) ) )) )) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (! [X,Y] :( ( big_f(X)& big_f(Y)& big_h(X,Y) )=> ~ big_j(Y,X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,conjecture,(
% 0.12/0.38 (! [X] :( big_f(X)=> big_g(X) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,negated_conjecture,(
% 0.12/0.38 ~((! [X] :( big_f(X)=> big_g(X) ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f4])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ![X,Y]: ((~big_f(X)|((big_f(Y)&big_h(Y,X))&~big_g(Y)))|big_g(X))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 ![X]: ((~big_f(X)|(((![Y]: big_f(Y))&(![Y]: big_h(Y,X)))&(![Y]: ~big_g(Y))))|big_g(X))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![X0,X1]: (~big_f(X0)|big_f(X1)|big_g(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0,X1]: (~big_f(X0)|big_h(X1,X0)|big_g(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0,X1]: (~big_f(X0)|~big_g(X1)|big_g(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 (![X]: (~big_f(X)|big_g(X)))|(?[X1]: ((big_f(X1)&~big_g(X1))&(![Y]: ((~big_f(Y)|big_g(Y))|big_j(X1,Y)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 (![X]: (~big_f(X)|big_g(X)))|((big_f(sK0_skl)&~big_g(sK0_skl))&(![Y]: ((~big_f(Y)|big_g(Y))|big_j(sK0_skl,Y))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl)],[f11])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ![X0,X1]: (~big_f(X0)|big_g(X0)|~big_f(X1)|big_g(X1)|big_j(sK0_skl,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X,Y]: (((~big_f(X)|~big_f(Y))|~big_h(X,Y))|~big_j(Y,X))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0,X1]: (~big_f(X0)|~big_f(X1)|~big_h(X0,X1)|~big_j(X1,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 (?[X]: (big_f(X)&~big_g(X)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 (big_f(sK1_skl)&~big_g(sK1_skl))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl)],[f18])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 big_f(sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ~big_g(sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f22,definition,(
% 0.12/0.38 ![X0]: (sQ0_spl <=> (~big_f(X0)|big_g(X0)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 ![X0]: (~big_f(X0)|big_g(X0)|~sQ0_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f22])).
% 0.12/0.38 fof(f25,definition,(
% 0.12/0.38 ![X1]: (sQ1_spl <=> (big_f(X1)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f26,plain,(
% 0.12/0.38 ![X0]: (big_f(X0)|~sQ1_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f25])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 sQ0_spl|sQ1_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f8,f22,f25])).
% 0.12/0.38 fof(f29,definition,(
% 0.12/0.38 ![X1]: (sQ2_spl <=> (~big_g(X1)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ![X0]: (~big_g(X0)|~sQ2_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f29])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 sQ0_spl|sQ2_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f10,f22,f29])).
% 0.12/0.38 fof(f41,definition,(
% 0.12/0.38 ![X1]: (sQ5_spl <=> (~big_f(X1)|big_g(X1)|big_j(sK0_skl,X1)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X0]: (~big_f(X0)|big_g(X0)|big_j(sK0_skl,X0)|~sQ5_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f41])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 sQ0_spl|sQ5_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f15,f22,f41])).
% 0.12/0.38 fof(f45,plain,(
% 0.12/0.38 ~big_f(sK1_skl)|~sQ0_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f23,f21])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 $false|~sQ0_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f45,f20])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ~sQ0_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f46])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 ![X0,X1]: (big_h(X0,X1)|big_g(X1)|~sQ1_spl)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f9,f26])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ![X0]: (big_g(X0)|big_j(sK0_skl,X0)|~sQ1_spl|~sQ5_spl)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f42,f26])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ![X0,X1]: (~big_f(X0)|~big_h(X1,X0)|~big_j(X0,X1)|~sQ1_spl)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f17,f26])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ![X0,X1]: (~big_h(X0,X1)|~big_j(X1,X0)|~sQ1_spl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f50,f26])).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 ![X0]: (~big_h(X0,sK0_skl)|big_g(X0)|~sQ1_spl|~sQ5_spl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f51,f49])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 ![X0]: (~big_h(X0,sK0_skl)|~sQ2_spl|~sQ1_spl|~sQ5_spl)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f52,f30])).
% 0.12/0.38 fof(f54,plain,(
% 0.12/0.38 big_g(sK0_skl)|~sQ2_spl|~sQ5_spl|~sQ1_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f53,f48])).
% 0.12/0.38 fof(f55,plain,(
% 0.12/0.38 $false|~sQ2_spl|~sQ5_spl|~sQ1_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f54,f30])).
% 0.12/0.38 fof(f56,plain,(
% 0.12/0.38 ~sQ2_spl|~sQ5_spl|~sQ1_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f55])).
% 0.12/0.38 fof(f57,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f28,f32,f44,f47,f56])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.046538 seconds
% 0.12/0.40 % CPU time: 0.114839 seconds
% 0.12/0.40 % Total memory used: 16.572 MB
% 0.12/0.40 % Net memory used: 16.092 MB
%------------------------------------------------------------------------------