%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL181+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 : n014.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 01:09:30 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181+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
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:09:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,conjecture,(
% 0.13/0.38 ( ( ~ p=> q )<=> ( ~ q=> p ) ) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 ~(( ( ~ p=> q )<=> ( ~ q=> p ) ) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.38 fof(f3,plain,(
% 0.13/0.38 ((p|q)<~>(q|p))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f4,plain,(
% 0.13/0.38 ((p|q)|(q|p))&((~p&~q)|(~q&~p))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 p|q|q|p),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ~p|~p),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ~q|~q),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f10,definition,(
% 0.13/0.38 sQ0_spl <=> (p)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f13,definition,(
% 0.13/0.38 sQ1_spl <=> (q)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f5,f10,f13])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ~sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f7,f10])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f8,f13])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f16,f18,f19])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.037460 seconds
% 0.13/0.39 % CPU time: 0.091455 seconds
% 0.13/0.39 % Total memory used: 13.351 MB
% 0.13/0.39 % Net memory used: 12.832 MB
%------------------------------------------------------------------------------