%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN393+1.003 : 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 : n013.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 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN393+1.003 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 10:52:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,conjecture,(
% 0.10/0.39 ( ( ( p1<=> p2 )<=> p3 )<=> ( p1<=> ( p2<=> p3 ) ) ) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~(( ( ( p1<=> p2 )<=> p3 )<=> ( p1<=> ( p2<=> p3 ) ) ) )),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 fof(f3,plain,(
% 0.10/0.39 (((p1<=>p2)<=>p3)<~>(p1<=>(p2<=>p3)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f4,definition,(
% 0.10/0.39 sP0_prd<=>((p1<=>p2)<=>p3)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.39 fof(f5,plain,(
% 0.10/0.39 sP0_prd<~>(p1<=>(p2<=>p3))),
% 0.10/0.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.10/0.39 fof(f6,definition,(
% 0.10/0.39 sP1_prd<=>(p2<=>p3)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 sP0_prd<~>(p1<=>sP1_prd)),
% 0.10/0.39 inference(formula_renaming,[status(thm)],[f5,f6])).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 (sP0_prd|((~p1|sP1_prd)&(p1|~sP1_prd)))&(~sP0_prd|((~p1|~sP1_prd)&(p1|sP1_prd)))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f9,plain,(
% 0.10/0.39 sP0_prd|~p1|sP1_prd),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f10,plain,(
% 0.10/0.39 sP0_prd|p1|~sP1_prd),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f11,plain,(
% 0.10/0.39 ~sP0_prd|~p1|~sP1_prd),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f12,plain,(
% 0.10/0.39 ~sP0_prd|p1|sP1_prd),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f13,definition,(
% 0.10/0.39 sP2_prd<=>(p1<=>p2)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 sP0_prd<=>(sP2_prd<=>p3)),
% 0.10/0.39 inference(formula_renaming,[status(thm)],[f4,f13])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 (~sP0_prd|((~sP2_prd|p3)&(sP2_prd|~p3)))&(sP0_prd|((~sP2_prd|~p3)&(sP2_prd|p3)))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f14])).
% 0.10/0.39 fof(f16,plain,(
% 0.10/0.39 ~sP0_prd|~sP2_prd|p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.39 fof(f17,plain,(
% 0.10/0.39 ~sP0_prd|sP2_prd|~p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.39 fof(f18,plain,(
% 0.10/0.39 sP0_prd|~sP2_prd|~p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.39 fof(f19,plain,(
% 0.10/0.39 sP0_prd|sP2_prd|p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.39 fof(f20,plain,(
% 0.10/0.39 (~sP1_prd|((~p2|p3)&(p2|~p3)))&(sP1_prd|((~p2|~p3)&(p2|p3)))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 ~sP1_prd|~p2|p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.39 fof(f22,plain,(
% 0.10/0.39 ~sP1_prd|p2|~p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.39 fof(f23,plain,(
% 0.10/0.39 sP1_prd|~p2|~p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 sP1_prd|p2|p3),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 (~sP2_prd|((~p1|p2)&(p1|~p2)))&(sP2_prd|((~p1|~p2)&(p1|p2)))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f26,plain,(
% 0.10/0.39 ~sP2_prd|~p1|p2),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.39 fof(f27,plain,(
% 0.10/0.39 ~sP2_prd|p1|~p2),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.39 fof(f28,plain,(
% 0.10/0.39 sP2_prd|~p1|~p2),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.39 fof(f29,plain,(
% 0.10/0.39 sP2_prd|p1|p2),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.39 fof(f30,definition,(
% 0.10/0.39 sQ0_spl <=> (sP0_prd)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f33,definition,(
% 0.10/0.39 sQ1_spl <=> (p1)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f36,definition,(
% 0.10/0.39 sQ2_spl <=> (sP1_prd)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f39,plain,(
% 0.10/0.39 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f9,f30,f33,f36])).
% 0.10/0.39 fof(f40,plain,(
% 0.10/0.39 sQ0_spl|sQ1_spl|~sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f10,f30,f33,f36])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f11,f30,f33,f36])).
% 0.10/0.39 fof(f42,plain,(
% 0.10/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f12,f30,f33,f36])).
% 0.10/0.39 fof(f43,definition,(
% 0.10/0.39 sQ3_spl <=> (sP2_prd)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f46,definition,(
% 0.10/0.39 sQ4_spl <=> (p3)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f49,plain,(
% 0.10/0.39 ~sQ0_spl|~sQ3_spl|sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f16,f30,f43,f46])).
% 0.10/0.39 fof(f50,plain,(
% 0.10/0.39 ~sQ0_spl|sQ3_spl|~sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f17,f30,f43,f46])).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 sQ0_spl|~sQ3_spl|~sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f18,f30,f43,f46])).
% 0.10/0.39 fof(f52,plain,(
% 0.10/0.39 sQ0_spl|sQ3_spl|sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f19,f30,f43,f46])).
% 0.10/0.39 fof(f53,definition,(
% 0.10/0.39 sQ5_spl <=> (p2)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 ~sQ2_spl|~sQ5_spl|sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f21,f36,f53,f46])).
% 0.10/0.39 fof(f57,plain,(
% 0.10/0.39 ~sQ2_spl|sQ5_spl|~sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f22,f36,f53,f46])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 sQ2_spl|~sQ5_spl|~sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f23,f36,f53,f46])).
% 0.10/0.39 fof(f59,plain,(
% 0.10/0.39 sQ2_spl|sQ5_spl|sQ4_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f24,f36,f53,f46])).
% 0.10/0.39 fof(f60,plain,(
% 0.10/0.39 ~sQ3_spl|~sQ1_spl|sQ5_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f26,f43,f33,f53])).
% 0.10/0.39 fof(f61,plain,(
% 0.10/0.39 ~sQ3_spl|sQ1_spl|~sQ5_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f27,f43,f33,f53])).
% 0.10/0.39 fof(f62,plain,(
% 0.10/0.39 sQ3_spl|~sQ1_spl|~sQ5_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f28,f43,f33,f53])).
% 0.10/0.39 fof(f63,plain,(
% 0.10/0.39 sQ3_spl|sQ1_spl|sQ5_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f29,f43,f33,f53])).
% 0.10/0.39 fof(f64,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f39,f40,f41,f42,f49,f50,f51,f52,f56,f57,f58,f59,f60,f61,f62,f63])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.035558 seconds
% 0.10/0.41 % CPU time: 0.092840 seconds
% 0.10/0.41 % Total memory used: 13.021 MB
% 0.10/0.41 % Net memory used: 12.628 MB
%------------------------------------------------------------------------------