%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN406+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 : n016.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 03:19:34 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 : SYN406+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 : n016.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 10:58:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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 ( ( (! [X] :( f(X)=> g(X) ))& (? [Y] :( f(Y)& h(Y) ) ))=> (? [Z] :( g(Z)& h(Z) ) )) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~(( ( (! [X] :( f(X)=> g(X) ))& (? [Y] :( f(Y)& h(Y) ) ))=> (? [Z] :( g(Z)& h(Z) ) )) )),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.39 fof(f3,plain,(
% 0.09/0.39 (((![X]: (~f(X)|g(X)))&(?[Y]: (f(Y)&h(Y))))&(![Z]: (~g(Z)|~h(Z))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f4,plain,(
% 0.09/0.39 ((![X]: (~f(X)|g(X)))&(f(sK0_skl)&h(sK0_skl)))&(![Z]: (~g(Z)|~h(Z)))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f3])).
% 0.09/0.39 fof(f5,plain,(
% 0.09/0.39 ![X0]: (~f(X0)|g(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f6,plain,(
% 0.09/0.39 f(sK0_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 h(sK0_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f8,plain,(
% 0.09/0.39 ![X0]: (~g(X0)|~h(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 g(sK0_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f5,f6])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ~g(sK0_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f8,f7])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f10,f9])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.043065 seconds
% 0.14/0.41 % CPU time: 0.121345 seconds
% 0.14/0.41 % Total memory used: 43.183 MB
% 0.14/0.41 % Net memory used: 42.650 MB
%------------------------------------------------------------------------------