%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN321+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 : n001.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 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN321+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 % Computer : n001.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 21 10:54:29 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.42 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,conjecture,(
% 0.13/0.44 (? [X,Y] :( ( (? [Z] : big_f(X,Z))=> (! [Z] : big_g(X,Z) ))=> ( (! [Z] :( big_g(Z,Z)=> big_f(Z,Y) ))=> ( big_f(X,Y)<=> (! [Z] : big_g(X,Z) )) ) ) )),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f2,negated_conjecture,(
% 0.13/0.44 ~((? [X,Y] :( ( (? [Z] : big_f(X,Z))=> (! [Z] : big_g(X,Z) ))=> ( (! [Z] :( big_g(Z,Z)=> big_f(Z,Y) ))=> ( big_f(X,Y)<=> (! [Z] : big_g(X,Z) )) ) ) ))),
% 0.13/0.44 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.44 fof(f3,plain,(
% 0.13/0.44 (![X,Y]: (((![Z]: ~big_f(X,Z))|(![Z]: big_g(X,Z)))&((![Z]: (~big_g(Z,Z)|big_f(Z,Y)))&(big_f(X,Y)<~>(![Z]: big_g(X,Z))))))),
% 0.13/0.44 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f4,plain,(
% 0.13/0.44 ![X,Y]: (((![Z]: ~big_f(X,Z))|(![Z]: big_g(X,Z)))&((![Z]: (~big_g(Z,Z)|big_f(Z,Y)))&((big_f(X,Y)|(![Z]: big_g(X,Z)))&(~big_f(X,Y)|(?[Z]: ~big_g(X,Z))))))),
% 0.13/0.44 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.44 fof(f5,plain,(
% 0.13/0.44 (![X]: ((![Z]: ~big_f(X,Z))|(![Z]: big_g(X,Z))))&((![Z]: (~big_g(Z,Z)|(![Y]: big_f(Z,Y))))&((![X]: ((![Y]: big_f(X,Y))|(![Z]: big_g(X,Z))))&(![X]: ((![Y]: ~big_f(X,Y))|(?[Z]: ~big_g(X,Z))))))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.44 fof(f6,plain,(
% 0.13/0.44 (![X]: ((![Z]: ~big_f(X,Z))|(![Z]: big_g(X,Z))))&((![Z]: (~big_g(Z,Z)|(![Y]: big_f(Z,Y))))&((![X]: ((![Y]: big_f(X,Y))|(![Z]: big_g(X,Z))))&(![X]: ((![Y]: ~big_f(X,Y))|~big_g(X,sK0_skl(X))))))),
% 0.13/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(X))],[f5])).
% 0.13/0.44 fof(f7,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~big_f(X0,X1)|big_g(X0,X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.44 fof(f8,plain,(
% 0.13/0.44 ![X0,X1]: (~big_g(X0,X0)|big_f(X0,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.44 fof(f9,plain,(
% 0.13/0.44 ![X0,X1,X2]: (big_f(X0,X1)|big_g(X0,X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.44 fof(f10,plain,(
% 0.13/0.44 ![X0,X1]: (~big_f(X0,X1)|~big_g(X0,sK0_skl(X0)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.44 fof(f11,plain,(
% 0.13/0.44 ![X0]: (~big_g(X0,X0))),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f8,f12])).
% 0.13/0.44 fof(f12,plain,(
% 0.13/0.44 ![X0,X1]: (~big_f(X0,X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f10,f7])).
% 0.13/0.44 fof(f14,plain,(
% 0.13/0.44 ![X0,X1]: (big_g(X0,X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f9,f12])).
% 0.13/0.44 fof(f15,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f11,f14])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.037234 seconds
% 0.13/0.46 % CPU time: 0.086917 seconds
% 0.13/0.46 % Total memory used: 6.200 MB
% 0.13/0.46 % Net memory used: 5.977 MB
%------------------------------------------------------------------------------