%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN044+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 : n012.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 03:18:46 PM UTC 2026
% Result : Theorem 0.08s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n012.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Mon Sep 21 10:39:57 UTC 2026
% 0.08/5.35 % CPUTime :
% 0.08/5.36 % Drodi V4.1.1
% 0.08/5.38 % Refutation found
% 0.08/5.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.38 fof(f1,axiom,(
% 0.08/5.38 ( q=> r ) ),
% 0.08/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f2,axiom,(
% 0.08/5.38 ( r=> ( p& q ) ) ),
% 0.08/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f3,axiom,(
% 0.08/5.38 ( p=> ( q| r ) ) ),
% 0.08/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f4,conjecture,(
% 0.08/5.38 ( p<=> q ) ),
% 0.08/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f5,negated_conjecture,(
% 0.08/5.38 ~(( p<=> q ) )),
% 0.08/5.38 inference(negated_conjecture,[status(cth)],[f4])).
% 0.08/5.38 fof(f6,plain,(
% 0.08/5.38 ~q|r),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/5.38 fof(f7,plain,(
% 0.08/5.38 ~q|r),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/5.38 fof(f8,plain,(
% 0.08/5.38 ~r|(p&q)),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/5.38 fof(f9,plain,(
% 0.08/5.38 ~r|p),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/5.38 fof(f10,plain,(
% 0.08/5.38 ~r|q),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/5.38 fof(f11,plain,(
% 0.08/5.38 ~p|(q|r)),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/5.38 fof(f12,plain,(
% 0.08/5.38 ~p|q|r),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/5.38 fof(f13,plain,(
% 0.08/5.38 (p<~>q)),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/5.38 fof(f14,plain,(
% 0.08/5.38 (p|q)&(~p|~q)),
% 0.08/5.38 inference(NNF_transformation,[status(thm)],[f13])).
% 0.08/5.38 fof(f15,plain,(
% 0.08/5.38 p|q),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/5.38 fof(f16,plain,(
% 0.08/5.38 ~p|~q),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/5.38 fof(f17,definition,(
% 0.08/5.38 sQ0_spl <=> (q)),
% 0.08/5.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/5.38 fof(f20,definition,(
% 0.08/5.38 sQ1_spl <=> (r)),
% 0.08/5.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/5.38 fof(f23,plain,(
% 0.08/5.38 ~sQ0_spl|sQ1_spl),
% 0.08/5.38 inference(split_clause,[status(thm)],[f7,f17,f20])).
% 0.08/5.38 fof(f24,definition,(
% 0.08/5.38 sQ2_spl <=> (p)),
% 0.08/5.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/5.38 fof(f27,plain,(
% 0.08/5.38 ~sQ1_spl|sQ2_spl),
% 0.08/5.38 inference(split_clause,[status(thm)],[f9,f20,f24])).
% 0.08/5.38 fof(f28,plain,(
% 0.08/5.38 ~sQ1_spl|sQ0_spl),
% 0.08/5.38 inference(split_clause,[status(thm)],[f10,f20,f17])).
% 0.08/5.38 fof(f29,plain,(
% 0.08/5.38 ~sQ2_spl|sQ0_spl|sQ1_spl),
% 0.08/5.38 inference(split_clause,[status(thm)],[f12,f24,f17,f20])).
% 0.08/5.38 fof(f30,plain,(
% 0.08/5.38 sQ2_spl|sQ0_spl),
% 0.08/5.38 inference(split_clause,[status(thm)],[f15,f24,f17])).
% 0.08/5.38 fof(f31,plain,(
% 0.08/5.38 ~sQ2_spl|~sQ0_spl),
% 0.08/5.38 inference(split_clause,[status(thm)],[f16,f24,f17])).
% 0.08/5.38 fof(f32,plain,(
% 0.08/5.38 $false),
% 0.08/5.38 inference(sat_refutation,[status(thm)],[f23,f27,f28,f29,f30,f31])).
% 0.08/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.039255 seconds
% 0.13/5.41 % CPU time: 0.079423 seconds
% 0.13/5.41 % Total memory used: 16.438 MB
% 0.13/5.41 % Net memory used: 15.843 MB
%------------------------------------------------------------------------------