%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 03:19:31 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 : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.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 10:55:02 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] : big_p(X))=> ( ~ (? [Y] : big_q(Y))| (? [Z] :( big_p(Z)=> big_q(Z) ) )) ) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~(( (! [X] : big_p(X))=> ( ~ (? [Y] : big_q(Y))| (? [Z] :( big_p(Z)=> big_q(Z) ) )) ) )),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.39 fof(f3,plain,(
% 0.09/0.39 ((![X]: big_p(X))&((?[Y]: big_q(Y))&(![Z]: (big_p(Z)&~big_q(Z)))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f4,plain,(
% 0.09/0.39 (![X]: big_p(X))&((?[Y]: big_q(Y))&((![Z]: big_p(Z))&(![Z]: ~big_q(Z))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.39 fof(f5,plain,(
% 0.09/0.39 (![X]: big_p(X))&(big_q(sK0_skl)&((![Z]: big_p(Z))&(![Z]: ~big_q(Z))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f4])).
% 0.09/0.39 fof(f7,plain,(
% 0.09/0.39 big_q(sK0_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f9,plain,(
% 0.09/0.39 ![X0]: (~big_q(X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f7,f9])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.040523 seconds
% 0.09/0.42 % CPU time: 0.098160 seconds
% 0.09/0.42 % Total memory used: 16.453 MB
% 0.09/0.42 % Net memory used: 15.810 MB
%------------------------------------------------------------------------------