%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN318+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 : n018.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 03:19:20 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN318+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
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:51:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,conjecture,(
% 0.09/0.39 (? [Y] :( (! [X] :( big_f(X)=> ( big_f(Y)=> big_g(X) ) ))=> ( p=> (! [X] :( big_f(X)=> big_g(Y) ) )) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~((? [Y] :( (! [X] :( big_f(X)=> ( big_f(Y)=> big_g(X) ) ))=> ( p=> (! [X] :( big_f(X)=> big_g(Y) ) )) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.39 fof(f3,plain,(
% 0.09/0.39 (![Y]: ((![X]: (~big_f(X)|(~big_f(Y)|big_g(X))))&(p&(?[X]: (big_f(X)&~big_g(Y))))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f4,plain,(
% 0.09/0.39 (![X]: (~big_f(X)|((![Y]: ~big_f(Y))|big_g(X))))&(p&((?[X]: big_f(X))&(![Y]: ~big_g(Y))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.39 fof(f5,plain,(
% 0.09/0.39 (![X]: (~big_f(X)|((![Y]: ~big_f(Y))|big_g(X))))&(p&(big_f(sK0_skl)&(![Y]: ~big_g(Y))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f4])).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 ![X0,X1]: (~big_f(X0)|~big_f(X1)|big_g(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 big_f(sK0_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X0]: (~big_g(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![X0,X1]: (~big_f(X0)|~big_f(X1))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f6,f9])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 ![X0]: (~big_f(X0))),
% 0.09/0.39 inference(resolution,[status(thm)],[f10,f8])).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f8,f11])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.043054 seconds
% 0.09/0.41 % CPU time: 0.081128 seconds
% 0.09/0.41 % Total memory used: 1.726 MB
% 0.09/0.41 % Net memory used: 1.710 MB
%------------------------------------------------------------------------------