%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN364+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 : 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 03:19:29 PM UTC 2026
% Result : Theorem 0.16s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN364+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n006.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 10:51:49 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 % Drodi V4.1.1
% 0.16/5.41 % Refutation found
% 0.16/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.41 fof(f1,conjecture,(
% 0.16/5.41 ( ( (! [X] :( (? [Y] : big_p(X,Y))=> (! [Z] : big_p(Z,Z) )))& (! [U] :(? [V] :( big_p(U,V)| ( big_m(U)& big_q(f(U,V)) ) )))& (! [W] :( big_q(W)=> ~ big_m(g(W)) ) ))=> (! [U] :(? [V] :( big_p(g(U),V)& big_p(U,U) ) ))) ),
% 0.16/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.41 fof(f2,negated_conjecture,(
% 0.16/5.41 ~(( ( (! [X] :( (? [Y] : big_p(X,Y))=> (! [Z] : big_p(Z,Z) )))& (! [U] :(? [V] :( big_p(U,V)| ( big_m(U)& big_q(f(U,V)) ) )))& (! [W] :( big_q(W)=> ~ big_m(g(W)) ) ))=> (! [U] :(? [V] :( big_p(g(U),V)& big_p(U,U) ) ))) )),
% 0.16/5.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/5.41 fof(f3,plain,(
% 0.16/5.41 ((((![X]: ((![Y]: ~big_p(X,Y))|(![Z]: big_p(Z,Z))))&(![U]: ?[V]: (big_p(U,V)|(big_m(U)&big_q(f(U,V))))))&(![W]: (~big_q(W)|~big_m(g(W)))))&(?[U]: ![V]: (~big_p(g(U),V)|~big_p(U,U))))),
% 0.16/5.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/5.41 fof(f4,plain,(
% 0.16/5.41 ((((![X,Y]: ~big_p(X,Y))|(![Z]: big_p(Z,Z)))&(![U]: ((?[V]: big_p(U,V))|(big_m(U)&(?[V]: big_q(f(U,V)))))))&(![W]: (~big_q(W)|~big_m(g(W)))))&((?[U]: ![V]: ~big_p(g(U),V))|(?[U]: ~big_p(U,U)))),
% 0.16/5.41 inference(miniscoping,[status(thm)],[f3])).
% 0.16/5.41 fof(f5,plain,(
% 0.16/5.41 ((((![X,Y]: ~big_p(X,Y))|(![Z]: big_p(Z,Z)))&(![U]: (big_p(U,sK0_skl(U))|(big_m(U)&big_q(f(U,sK1_skl(U)))))))&(![W]: (~big_q(W)|~big_m(g(W)))))&(![V]: ~big_p(g(sK2_skl),V)|~big_p(sK3_skl,sK3_skl))),
% 0.16/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(V,sK0_skl(U)),skolemize(V,sK1_skl(U)),skolemize(U,sK2_skl),skolemize(U,sK3_skl)],[f4])).
% 0.16/5.41 fof(f6,plain,(
% 0.16/5.41 ![X0,X1,X2]: (~big_p(X0,X1)|big_p(X2,X2))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.41 fof(f7,plain,(
% 0.16/5.41 ![X0]: (big_p(X0,sK0_skl(X0))|big_m(X0))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.41 fof(f8,plain,(
% 0.16/5.41 ![X0]: (big_p(X0,sK0_skl(X0))|big_q(f(X0,sK1_skl(X0))))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.41 fof(f9,plain,(
% 0.16/5.41 ![X0]: (~big_q(X0)|~big_m(g(X0)))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.41 fof(f10,plain,(
% 0.16/5.41 ![X0]: (~big_p(g(sK2_skl),X0)|~big_p(sK3_skl,sK3_skl))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.41 fof(f11,definition,(
% 0.16/5.41 ![X0,X1]: (sQ0_spl <=> (~big_p(X0,X1)))),
% 0.16/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/5.41 fof(f12,plain,(
% 0.16/5.41 ![X0,X1]: (~big_p(X0,X1)|~sQ0_spl)),
% 0.16/5.41 inference(component_clause,[status(thm)],[f11])).
% 0.16/5.41 fof(f14,definition,(
% 0.16/5.41 ![X2]: (sQ1_spl <=> (big_p(X2,X2)))),
% 0.16/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/5.41 fof(f15,plain,(
% 0.16/5.41 ![X0]: (big_p(X0,X0)|~sQ1_spl)),
% 0.16/5.41 inference(component_clause,[status(thm)],[f14])).
% 0.16/5.41 fof(f17,plain,(
% 0.16/5.41 sQ0_spl|sQ1_spl),
% 0.16/5.41 inference(split_clause,[status(thm)],[f6,f11,f14])).
% 0.16/5.41 fof(f18,definition,(
% 0.16/5.41 ![X0]: (sQ2_spl <=> (~big_p(g(sK2_skl),X0)))),
% 0.16/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/5.41 fof(f19,plain,(
% 0.16/5.41 ![X0]: (~big_p(g(sK2_skl),X0)|~sQ2_spl)),
% 0.16/5.41 inference(component_clause,[status(thm)],[f18])).
% 0.16/5.41 fof(f21,definition,(
% 0.16/5.41 sQ3_spl <=> (big_p(sK3_skl,sK3_skl))),
% 0.16/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/5.41 fof(f23,plain,(
% 0.16/5.41 ~big_p(sK3_skl,sK3_skl)|sQ3_spl),
% 0.16/5.41 inference(component_clause,[status(thm)],[f21])).
% 0.16/5.41 fof(f24,plain,(
% 0.16/5.41 sQ2_spl|~sQ3_spl),
% 0.16/5.41 inference(split_clause,[status(thm)],[f10,f18,f21])).
% 0.16/5.41 fof(f25,plain,(
% 0.16/5.41 ![X0]: (~big_q(X0)|~sQ0_spl)),
% 0.16/5.41 inference(backward_subsumption_resolution,[status(thm)],[f9,f26])).
% 0.16/5.41 fof(f26,plain,(
% 0.16/5.41 ![X0]: (big_m(X0)|~sQ0_spl)),
% 0.16/5.41 inference(forward_subsumption_resolution,[status(thm)],[f7,f12])).
% 0.16/5.41 fof(f27,plain,(
% 0.16/5.41 ![X0]: (big_q(f(X0,sK1_skl(X0)))|~sQ0_spl)),
% 0.16/5.41 inference(forward_subsumption_resolution,[status(thm)],[f8,f12])).
% 0.16/5.41 fof(f28,plain,(
% 0.16/5.41 $false|~sQ0_spl),
% 0.16/5.41 inference(resolution,[status(thm)],[f27,f25])).
% 0.16/5.41 fof(f29,plain,(
% 0.16/5.41 ~sQ0_spl),
% 0.16/5.41 inference(contradiction_clause,[status(thm)],[f28])).
% 0.16/5.41 fof(f30,plain,(
% 0.16/5.41 $false|~sQ2_spl|~sQ1_spl),
% 0.16/5.41 inference(resolution,[status(thm)],[f19,f15])).
% 0.16/5.41 fof(f31,plain,(
% 0.16/5.41 ~sQ2_spl|~sQ1_spl),
% 0.16/5.41 inference(contradiction_clause,[status(thm)],[f30])).
% 0.16/5.41 fof(f32,plain,(
% 0.16/5.41 $false|~sQ1_spl|sQ3_spl),
% 0.16/5.41 inference(forward_subsumption_resolution,[status(thm)],[f23,f15])).
% 0.16/5.41 fof(f33,plain,(
% 0.16/5.41 ~sQ1_spl|sQ3_spl),
% 0.16/5.41 inference(contradiction_clause,[status(thm)],[f32])).
% 0.16/5.41 fof(f34,plain,(
% 0.16/5.41 $false),
% 0.16/5.41 inference(sat_refutation,[status(thm)],[f17,f24,f29,f31,f33])).
% 0.16/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.43 % Elapsed time: 0.034864 seconds
% 0.16/5.43 % CPU time: 0.091663 seconds
% 0.16/5.43 % Total memory used: 11.925 MB
% 0.16/5.43 % Net memory used: 11.510 MB
%------------------------------------------------------------------------------