%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN069+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 : n011.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 03:18:52 PM UTC 2026
% Result : Theorem 0.08s 15.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN069+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
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.81 % CPULimit : 300
% 0.08/15.81 % WCLimit : 300
% 0.08/15.81 % DateTime : Mon Sep 21 10:41:51 UTC 2026
% 0.08/15.81 % CPUTime :
% 0.08/15.82 % Drodi V4.1.1
% 0.08/15.84 % Refutation found
% 0.08/15.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/15.84 % SZS output start CNFRefutation for theBenchmark
% 0.08/15.84 fof(f1,axiom,(
% 0.08/15.84 (! [X] :( ( big_f(X)& (! [Y] :( ( big_g(Y)& big_h(X,Y) )=> big_j(X,Y) ) ))=> (! [Y1] :( big_g(Y1)& big_h(X,Y1)& big_k(Y1) ) )) )),
% 0.08/15.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.84 fof(f2,axiom,(
% 0.08/15.84 ~ (? [Y] :( big_l(Y)& big_k(Y) ) )),
% 0.08/15.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.84 fof(f3,axiom,(
% 0.08/15.84 (? [X] :( big_f(X)& (! [Y] :( big_h(X,Y)=> big_l(Y) ))& (! [Y1] :( ( big_g(Y1)& big_h(X,Y1) )=> big_j(X,Y1) ) )) )),
% 0.08/15.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.84 fof(f4,conjecture,(
% 0.08/15.84 (? [X] :( big_f(X)& ~ (? [Y] :( big_g(Y)& big_h(X,Y) ) )) )),
% 0.08/15.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/15.84 fof(f5,negated_conjecture,(
% 0.08/15.84 ~((? [X] :( big_f(X)& ~ (? [Y] :( big_g(Y)& big_h(X,Y) ) )) ))),
% 0.08/15.84 inference(negated_conjecture,[status(cth)],[f4])).
% 0.08/15.84 fof(f6,plain,(
% 0.08/15.84 ![X]: ((~big_f(X)|(?[Y]: ((big_g(Y)&big_h(X,Y))&~big_j(X,Y))))|(![Y1]: ((big_g(Y1)&big_h(X,Y1))&big_k(Y1))))),
% 0.08/15.84 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/15.84 fof(f7,definition,(
% 0.08/15.84 ![X,Y]: (sP0_prd(Y,X)<=>((big_g(Y)&big_h(X,Y))&~big_j(X,Y)))),
% 0.08/15.84 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.08/15.84 fof(f8,plain,(
% 0.08/15.84 ![X]: ((~big_f(X)|(?[Y]: sP0_prd(Y,X)))|(![Y1]: ((big_g(Y1)&big_h(X,Y1))&big_k(Y1))))),
% 0.08/15.84 inference(formula_renaming,[status(thm)],[f6,f7])).
% 0.08/15.84 fof(f9,plain,(
% 0.08/15.84 ![X]: ((~big_f(X)|(?[Y]: sP0_prd(Y,X)))|(((![Y1]: big_g(Y1))&(![Y1]: big_h(X,Y1)))&(![Y1]: big_k(Y1))))),
% 0.08/15.84 inference(miniscoping,[status(thm)],[f8])).
% 0.08/15.84 fof(f10,plain,(
% 0.08/15.84 ![X]: ((~big_f(X)|sP0_prd(sK0_skl(X),X))|(((![Y1]: big_g(Y1))&(![Y1]: big_h(X,Y1)))&(![Y1]: big_k(Y1))))),
% 0.08/15.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f9])).
% 0.08/15.84 fof(f13,plain,(
% 0.08/15.84 ![X0,X1]: (~big_f(X0)|sP0_prd(sK0_skl(X0),X0)|big_k(X1))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/15.84 fof(f14,plain,(
% 0.08/15.84 (![Y]: (~big_l(Y)|~big_k(Y)))),
% 0.08/15.84 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/15.84 fof(f15,plain,(
% 0.08/15.84 ![X0]: (~big_l(X0)|~big_k(X0))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/15.84 fof(f16,plain,(
% 0.08/15.84 ?[X]: ((big_f(X)&(![Y]: (~big_h(X,Y)|big_l(Y))))&(![Y1]: ((~big_g(Y1)|~big_h(X,Y1))|big_j(X,Y1))))),
% 0.08/15.84 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/15.84 fof(f17,plain,(
% 0.08/15.84 ((big_f(sK1_skl)&(![Y]: (~big_h(sK1_skl,Y)|big_l(Y))))&(![Y1]: ((~big_g(Y1)|~big_h(sK1_skl,Y1))|big_j(sK1_skl,Y1))))),
% 0.08/15.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl)],[f16])).
% 0.08/15.84 fof(f18,plain,(
% 0.08/15.84 big_f(sK1_skl)),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/15.84 fof(f19,plain,(
% 0.08/15.84 ![X0]: (~big_h(sK1_skl,X0)|big_l(X0))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/15.84 fof(f20,plain,(
% 0.08/15.84 ![X0]: (~big_g(X0)|~big_h(sK1_skl,X0)|big_j(sK1_skl,X0))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/15.84 fof(f21,plain,(
% 0.08/15.84 (![X]: (~big_f(X)|(?[Y]: (big_g(Y)&big_h(X,Y)))))),
% 0.08/15.84 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/15.84 fof(f22,plain,(
% 0.08/15.84 ![X]: (~big_f(X)|(big_g(sK2_skl(X))&big_h(X,sK2_skl(X))))),
% 0.08/15.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f21])).
% 0.08/15.84 fof(f24,plain,(
% 0.08/15.84 ![X0]: (~big_f(X0)|big_h(X0,sK2_skl(X0)))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/15.84 fof(f25,plain,(
% 0.08/15.84 ![X,Y]: ((~sP0_prd(Y,X)|((big_g(Y)&big_h(X,Y))&~big_j(X,Y)))&(sP0_prd(Y,X)|((~big_g(Y)|~big_h(X,Y))|big_j(X,Y))))),
% 0.08/15.84 inference(NNF_transformation,[status(thm)],[f7])).
% 0.08/15.84 fof(f26,plain,(
% 0.08/15.84 (![X,Y]: (~sP0_prd(Y,X)|((big_g(Y)&big_h(X,Y))&~big_j(X,Y))))&(![X,Y]: (sP0_prd(Y,X)|((~big_g(Y)|~big_h(X,Y))|big_j(X,Y))))),
% 0.08/15.84 inference(miniscoping,[status(thm)],[f25])).
% 0.08/15.84 fof(f27,plain,(
% 0.08/15.84 ![X0,X1]: (~sP0_prd(X0,X1)|big_g(X0))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/15.84 fof(f28,plain,(
% 0.08/15.84 ![X0,X1]: (~sP0_prd(X0,X1)|big_h(X1,X0))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/15.84 fof(f29,plain,(
% 0.08/15.84 ![X0,X1]: (~sP0_prd(X0,X1)|~big_j(X1,X0))),
% 0.08/15.84 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/15.84 fof(f31,definition,(
% 0.08/15.84 ![X0]: (sQ0_spl <=> (~big_f(X0)|sP0_prd(sK0_skl(X0),X0)))),
% 0.08/15.84 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/15.84 fof(f32,plain,(
% 0.08/15.84 ![X0]: (~big_f(X0)|sP0_prd(sK0_skl(X0),X0)|~sQ0_spl)),
% 0.08/15.84 inference(component_clause,[status(thm)],[f31])).
% 0.08/15.84 fof(f38,definition,(
% 0.08/15.84 ![X1]: (sQ2_spl <=> (big_k(X1)))),
% 0.08/15.84 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/15.84 fof(f39,plain,(
% 0.08/15.84 ![X0]: (big_k(X0)|~sQ2_spl)),
% 0.08/15.84 inference(component_clause,[status(thm)],[f38])).
% 0.08/15.84 fof(f41,plain,(
% 0.08/15.84 sQ0_spl|sQ2_spl),
% 0.08/15.84 inference(split_clause,[status(thm)],[f13,f31,f38])).
% 0.08/15.84 fof(f42,plain,(
% 0.08/15.84 big_h(sK1_skl,sK2_skl(sK1_skl))),
% 0.08/15.84 inference(resolution,[status(thm)],[f18,f24])).
% 0.08/15.84 fof(f43,plain,(
% 0.08/15.84 big_l(sK2_skl(sK1_skl))),
% 0.08/15.84 inference(resolution,[status(thm)],[f19,f42])).
% 0.08/15.84 fof(f53,plain,(
% 0.08/15.84 sP0_prd(sK0_skl(sK1_skl),sK1_skl)|~sQ0_spl),
% 0.08/15.84 inference(resolution,[status(thm)],[f32,f18])).
% 0.08/15.84 fof(f54,plain,(
% 0.08/15.84 ~big_j(sK1_skl,sK0_skl(sK1_skl))|~sQ0_spl),
% 0.08/15.84 inference(resolution,[status(thm)],[f53,f29])).
% 0.08/15.84 fof(f55,plain,(
% 0.08/15.84 big_h(sK1_skl,sK0_skl(sK1_skl))|~sQ0_spl),
% 0.08/15.84 inference(resolution,[status(thm)],[f53,f28])).
% 0.08/15.84 fof(f56,plain,(
% 0.08/15.84 big_g(sK0_skl(sK1_skl))|~sQ0_spl),
% 0.08/15.84 inference(resolution,[status(thm)],[f53,f27])).
% 0.08/15.84 fof(f57,plain,(
% 0.08/15.84 ~big_h(sK1_skl,sK0_skl(sK1_skl))|big_j(sK1_skl,sK0_skl(sK1_skl))|~sQ0_spl),
% 0.08/15.84 inference(resolution,[status(thm)],[f56,f20])).
% 0.08/15.84 fof(f58,definition,(
% 0.08/15.84 sQ5_spl <=> (big_h(sK1_skl,sK0_skl(sK1_skl)))),
% 0.08/15.84 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/15.84 fof(f60,plain,(
% 0.08/15.84 ~big_h(sK1_skl,sK0_skl(sK1_skl))|sQ5_spl),
% 0.08/15.84 inference(component_clause,[status(thm)],[f58])).
% 0.08/15.84 fof(f61,definition,(
% 0.08/15.84 sQ6_spl <=> (big_j(sK1_skl,sK0_skl(sK1_skl)))),
% 0.08/15.84 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/15.84 fof(f62,plain,(
% 0.08/15.84 big_j(sK1_skl,sK0_skl(sK1_skl))|~sQ6_spl),
% 0.08/15.84 inference(component_clause,[status(thm)],[f61])).
% 0.08/15.84 fof(f64,plain,(
% 0.08/15.84 ~sQ5_spl|sQ6_spl|~sQ0_spl),
% 0.08/15.84 inference(split_clause,[status(thm)],[f57,f58,f61,f31])).
% 0.08/15.84 fof(f65,plain,(
% 0.08/15.84 $false|~sQ0_spl|sQ5_spl),
% 0.08/15.84 inference(forward_subsumption_resolution,[status(thm)],[f60,f55])).
% 0.08/15.84 fof(f66,plain,(
% 0.08/15.84 ~sQ0_spl|sQ5_spl),
% 0.08/15.84 inference(contradiction_clause,[status(thm)],[f65])).
% 0.08/15.84 fof(f69,plain,(
% 0.08/15.84 ![X0]: (~big_l(X0)|~sQ2_spl)),
% 0.08/15.84 inference(backward_subsumption_resolution,[status(thm)],[f15,f39])).
% 0.08/15.84 fof(f71,plain,(
% 0.08/15.84 $false|~sQ2_spl),
% 0.08/15.84 inference(backward_subsumption_resolution,[status(thm)],[f43,f69])).
% 0.08/15.84 fof(f73,plain,(
% 0.08/15.84 ~sQ2_spl),
% 0.08/15.84 inference(contradiction_clause,[status(thm)],[f71])).
% 0.08/15.84 fof(f74,plain,(
% 0.08/15.84 $false|~sQ6_spl|~sQ0_spl),
% 0.08/15.84 inference(forward_subsumption_resolution,[status(thm)],[f54,f62])).
% 0.08/15.84 fof(f75,plain,(
% 0.08/15.84 ~sQ6_spl|~sQ0_spl),
% 0.08/15.84 inference(contradiction_clause,[status(thm)],[f74])).
% 0.08/15.84 fof(f76,plain,(
% 0.08/15.84 $false),
% 0.08/15.84 inference(sat_refutation,[status(thm)],[f41,f64,f66,f73,f75])).
% 0.08/15.84 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/15.86 % Elapsed time: 0.043786 seconds
% 0.08/15.86 % CPU time: 0.110949 seconds
% 0.08/15.86 % Total memory used: 16.752 MB
% 0.08/15.86 % Net memory used: 16.314 MB
%------------------------------------------------------------------------------