%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN956+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 03:21:36 PM UTC 2026
% Result : Theorem 0.08s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN956+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n002.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Mon Sep 21 11:34:02 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.34 % Drodi V4.1.1
% 0.08/0.35 % Refutation found
% 0.08/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.35 fof(f1,conjecture,(
% 0.08/0.35 ( (? [X] :( a(X)=> b(X) ))=> ( (! [X] : a(X))=> (? [X] : b(X) )) ) ),
% 0.08/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f2,negated_conjecture,(
% 0.08/0.35 ~(( (? [X] :( a(X)=> b(X) ))=> ( (! [X] : a(X))=> (? [X] : b(X) )) ) )),
% 0.08/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.35 fof(f3,plain,(
% 0.08/0.35 ((?[X]: (~a(X)|b(X)))&((![X]: a(X))&(![X]: ~b(X))))),
% 0.08/0.35 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.35 fof(f4,plain,(
% 0.08/0.35 ((?[X]: ~a(X))|(?[X]: b(X)))&((![X]: a(X))&(![X]: ~b(X)))),
% 0.08/0.35 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.35 fof(f5,plain,(
% 0.08/0.35 (~a(sK0_skl)|b(sK1_skl))&((![X]: a(X))&(![X]: ~b(X)))),
% 0.08/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f4])).
% 0.08/0.35 fof(f6,plain,(
% 0.08/0.35 ~a(sK0_skl)|b(sK1_skl)),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.35 fof(f7,plain,(
% 0.08/0.35 ![X0]: (a(X0))),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.35 fof(f8,plain,(
% 0.08/0.35 ![X0]: (~b(X0))),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.35 fof(f9,plain,(
% 0.08/0.35 b(sK1_skl)),
% 0.08/0.35 inference(forward_subsumption_resolution,[status(thm)],[f6,f7])).
% 0.08/0.35 fof(f10,plain,(
% 0.08/0.35 $false),
% 0.08/0.35 inference(resolution,[status(thm)],[f9,f8])).
% 0.08/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.37 % Elapsed time: 0.030453 seconds
% 0.08/0.37 % CPU time: 0.056591 seconds
% 0.08/0.37 % Total memory used: 1.726 MB
% 0.08/0.37 % Net memory used: 1.706 MB
%------------------------------------------------------------------------------