%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN392+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 03:19:33 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN392+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
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:55:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,conjecture,(
% 0.14/0.39 ( ( p1<=> p2 )<=> ( ( p2| ~ p1 )& ( ~ p2| p1 ) ) ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,negated_conjecture,(
% 0.14/0.39 ~(( ( p1<=> p2 )<=> ( ( p2| ~ p1 )& ( ~ p2| p1 ) ) ) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.39 fof(f3,plain,(
% 0.14/0.39 ((p1<=>p2)<~>((p2|~p1)&(~p2|p1)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f4,definition,(
% 0.14/0.39 sP0_prd<=>(p1<=>p2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.39 fof(f5,plain,(
% 0.14/0.39 sP0_prd<~>((p2|~p1)&(~p2|p1))),
% 0.14/0.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.14/0.39 fof(f6,plain,(
% 0.14/0.39 (sP0_prd|((p2|~p1)&(~p2|p1)))&(~sP0_prd|((~p2&p1)|(p2&~p1)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f7,plain,(
% 0.14/0.39 sP0_prd|p2|~p1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f8,plain,(
% 0.14/0.39 sP0_prd|~p2|p1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f10,plain,(
% 0.14/0.39 ~sP0_prd|~p2|~p1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ~sP0_prd|p1|p2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 (~sP0_prd|((~p1|p2)&(p1|~p2)))&(sP0_prd|((~p1|~p2)&(p1|p2)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f14,plain,(
% 0.14/0.39 ~sP0_prd|~p1|p2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f15,plain,(
% 0.14/0.39 ~sP0_prd|p1|~p2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f16,plain,(
% 0.14/0.39 sP0_prd|~p1|~p2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f17,plain,(
% 0.14/0.39 sP0_prd|p1|p2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f18,definition,(
% 0.14/0.39 sQ0_spl <=> (sP0_prd)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f21,definition,(
% 0.14/0.39 sQ1_spl <=> (p2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f24,definition,(
% 0.14/0.39 sQ2_spl <=> (p1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f7,f18,f21,f24])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f8,f18,f21,f24])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f10,f18,f21,f24])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 ~sQ0_spl|sQ2_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f11,f18,f24,f21])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 ~sQ0_spl|~sQ2_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f14,f18,f24,f21])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 ~sQ0_spl|sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f15,f18,f24,f21])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f16,f18,f24,f21])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 sQ0_spl|sQ2_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f17,f18,f24,f21])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f27,f28,f30,f31,f33,f34,f35,f36])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.046983 seconds
% 0.14/0.42 % CPU time: 0.107307 seconds
% 0.14/0.42 % Total memory used: 16.553 MB
% 0.14/0.42 % Net memory used: 15.956 MB
%------------------------------------------------------------------------------