%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN325+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 : n003.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 03:19:21 PM UTC 2026
% Result : Theorem 0.23s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN325+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49 % Computer : n003.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Mon Sep 21 10:51:01 UTC 2026
% 0.23/0.50 % CPUTime :
% 0.23/0.52 % Drodi V4.1.1
% 0.23/0.55 % Refutation found
% 0.23/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.55 fof(f1,conjecture,(
% 0.23/0.55 (? [X] :(! [Y] :( ( ( big_f(X,X)=> big_f(Y,Y) )=> ( big_f(X,Y)& big_g(X) ) )=> big_g(Y) ) ))),
% 0.23/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.55 fof(f2,negated_conjecture,(
% 0.23/0.55 ~((? [X] :(! [Y] :( ( ( big_f(X,X)=> big_f(Y,Y) )=> ( big_f(X,Y)& big_g(X) ) )=> big_g(Y) ) )))),
% 0.23/0.55 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.55 fof(f3,plain,(
% 0.23/0.55 (![X]: ?[Y]: (((big_f(X,X)&~big_f(Y,Y))|(big_f(X,Y)&big_g(X)))&~big_g(Y)))),
% 0.23/0.55 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.23/0.55 fof(f4,definition,(
% 0.23/0.55 ![X,Y]: (sP0_prd(Y,X)<=>(big_f(X,X)&~big_f(Y,Y)))),
% 0.23/0.55 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.23/0.55 fof(f5,plain,(
% 0.23/0.55 ![X]: ?[Y]: ((sP0_prd(Y,X)|(big_f(X,Y)&big_g(X)))&~big_g(Y))),
% 0.23/0.55 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.23/0.55 fof(f6,plain,(
% 0.23/0.55 ![X]: ((sP0_prd(sK0_skl(X),X)|(big_f(X,sK0_skl(X))&big_g(X)))&~big_g(sK0_skl(X)))),
% 0.23/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f5])).
% 0.23/0.55 fof(f8,plain,(
% 0.23/0.55 ![X0]: (sP0_prd(sK0_skl(X0),X0)|big_g(X0))),
% 0.23/0.55 inference(cnf_transformation,[status(thm)],[f6])).
% 0.23/0.55 fof(f9,plain,(
% 0.23/0.55 ![X0]: (~big_g(sK0_skl(X0)))),
% 0.23/0.55 inference(cnf_transformation,[status(thm)],[f6])).
% 0.23/0.55 fof(f10,plain,(
% 0.23/0.55 ![X,Y]: ((~sP0_prd(Y,X)|(big_f(X,X)&~big_f(Y,Y)))&(sP0_prd(Y,X)|(~big_f(X,X)|big_f(Y,Y))))),
% 0.23/0.55 inference(NNF_transformation,[status(thm)],[f4])).
% 0.23/0.55 fof(f11,plain,(
% 0.23/0.55 (![X,Y]: (~sP0_prd(Y,X)|(big_f(X,X)&~big_f(Y,Y))))&(![X,Y]: (sP0_prd(Y,X)|(~big_f(X,X)|big_f(Y,Y))))),
% 0.23/0.55 inference(miniscoping,[status(thm)],[f10])).
% 0.23/0.55 fof(f12,plain,(
% 0.23/0.55 ![X0,X1]: (~sP0_prd(X0,X1)|big_f(X1,X1))),
% 0.23/0.55 inference(cnf_transformation,[status(thm)],[f11])).
% 0.23/0.55 fof(f13,plain,(
% 0.23/0.55 ![X0,X1]: (~sP0_prd(X0,X1)|~big_f(X0,X0))),
% 0.23/0.55 inference(cnf_transformation,[status(thm)],[f11])).
% 0.23/0.55 fof(f15,plain,(
% 0.23/0.55 ![X0]: (big_g(X0)|~big_f(sK0_skl(X0),sK0_skl(X0)))),
% 0.23/0.55 inference(resolution,[status(thm)],[f8,f13])).
% 0.23/0.55 fof(f16,plain,(
% 0.23/0.55 ![X0,X1]: (big_g(X0)|~sP0_prd(X1,sK0_skl(X0)))),
% 0.23/0.55 inference(resolution,[status(thm)],[f15,f12])).
% 0.23/0.55 fof(f17,plain,(
% 0.23/0.55 ![X0]: (big_g(X0)|big_g(sK0_skl(X0)))),
% 0.23/0.55 inference(resolution,[status(thm)],[f16,f8])).
% 0.23/0.55 fof(f18,plain,(
% 0.23/0.55 ![X0]: (big_g(X0))),
% 0.23/0.55 inference(forward_subsumption_resolution,[status(thm)],[f17,f9])).
% 0.23/0.55 fof(f20,plain,(
% 0.23/0.55 $false),
% 0.23/0.55 inference(backward_subsumption_resolution,[status(thm)],[f9,f18])).
% 0.23/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.63 % Elapsed time: 0.114990 seconds
% 0.28/0.63 % CPU time: 0.076928 seconds
% 0.28/0.63 % Total memory used: 516.144 KB
% 0.28/0.63 % Net memory used: 505.392 KB
%------------------------------------------------------------------------------