%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN333+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 : n026.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 03:19:23 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN333+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
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:52:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,conjecture,(
% 0.14/0.39 (? [X,Y] :(! [Z] :( big_f(X,Y)=> ( big_f(Y,Z)& big_f(Z,Z)& ( ( big_f(X,Y)& big_g(X,Y) )=> ( big_g(X,Z)& big_g(Z,Z) ) ) ) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,negated_conjecture,(
% 0.14/0.39 ~((? [X,Y] :(! [Z] :( big_f(X,Y)=> ( big_f(Y,Z)& big_f(Z,Z)& ( ( big_f(X,Y)& big_g(X,Y) )=> ( big_g(X,Z)& big_g(Z,Z) ) ) ) ) )))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.39 fof(f3,plain,(
% 0.14/0.39 (![X,Y]: ?[Z]: (big_f(X,Y)&((~big_f(Y,Z)|~big_f(Z,Z))|((big_f(X,Y)&big_g(X,Y))&(~big_g(X,Z)|~big_g(Z,Z))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f4,plain,(
% 0.14/0.39 (![X,Y]: big_f(X,Y))&(![Y]: (((?[Z]: ~big_f(Y,Z))|(?[Z]: ~big_f(Z,Z)))|(((![X]: big_f(X,Y))&(![X]: big_g(X,Y)))&((![X]: ?[Z]: ~big_g(X,Z))|(?[Z]: ~big_g(Z,Z))))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.39 fof(f5,plain,(
% 0.14/0.39 (![X,Y]: big_f(X,Y))&(![Y]: ((~big_f(Y,sK0_skl(Y))|~big_f(sK1_skl(Y),sK1_skl(Y)))|(((![X]: big_f(X,Y))&(![X]: big_g(X,Y)))&((![X]: ~big_g(X,sK2_skl(X,Y)))|~big_g(sK3_skl(Y),sK3_skl(Y))))))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Z,sK0_skl(Y)),skolemize(Z,sK1_skl(Y)),skolemize(Z,sK2_skl(X,Y)),skolemize(Z,sK3_skl(Y))],[f4])).
% 0.14/0.39 fof(f6,plain,(
% 0.14/0.39 ![X0,X1]: (big_f(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f8,plain,(
% 0.14/0.39 ![X0,X1]: (~big_f(X0,sK0_skl(X0))|~big_f(sK1_skl(X0),sK1_skl(X0))|big_g(X1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f9,plain,(
% 0.14/0.39 ![X0,X1]: (~big_f(X0,sK0_skl(X0))|~big_f(sK1_skl(X0),sK1_skl(X0))|~big_g(X1,sK2_skl(X1,X0))|~big_g(sK3_skl(X0),sK3_skl(X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 ![X0,X1]: (~big_f(sK1_skl(X0),sK1_skl(X0))|big_g(X1,X0))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f8,f6])).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ![X0,X1]: (big_g(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f10,f6])).
% 0.14/0.39 fof(f12,plain,(
% 0.14/0.39 ![X0,X1]: (~big_f(sK1_skl(X0),sK1_skl(X0))|~big_g(X1,sK2_skl(X1,X0))|~big_g(sK3_skl(X0),sK3_skl(X0)))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f9,f6])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 ![X0]: (~big_f(sK1_skl(X0),sK1_skl(X0))|~big_g(sK3_skl(X0),sK3_skl(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f12,f11])).
% 0.14/0.39 fof(f14,plain,(
% 0.14/0.39 ![X0]: (~big_g(sK3_skl(X0),sK3_skl(X0)))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f13,f6])).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f14,f11])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.041032 seconds
% 0.14/0.41 % CPU time: 0.116247 seconds
% 0.14/0.41 % Total memory used: 43.226 MB
% 0.14/0.41 % Net memory used: 42.740 MB
%------------------------------------------------------------------------------