%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN047+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 : n020.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 03:18:47 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN047+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
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:41:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,conjecture,(
% 0.13/0.39 ( ( ( p& ( q=> r ) )=> s )<=> ( ( ~ p| q| s )& ( ~ p| ~ r| s ) ) ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,negated_conjecture,(
% 0.13/0.39 ~(( ( ( p& ( q=> r ) )=> s )<=> ( ( ~ p| q| s )& ( ~ p| ~ r| s ) ) ) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.39 fof(f3,plain,(
% 0.13/0.39 (((~p|(q&~r))|s)<~>(((~p|q)|s)&((~p|~r)|s)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f4,definition,(
% 0.13/0.39 sP0_prd<=>(~p|(q&~r))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.39 fof(f5,definition,(
% 0.13/0.39 sP1_prd<=>((~p|q)|s)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 (sP0_prd|s)<~>(sP1_prd&((~p|~r)|s))),
% 0.13/0.39 inference(formula_renaming,[status(thm)],[f3,f5,f4])).
% 0.13/0.39 fof(f7,definition,(
% 0.13/0.39 sP2_prd<=>((~p|~r)|s)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 (sP0_prd|s)<~>(sP1_prd&sP2_prd)),
% 0.13/0.39 inference(formula_renaming,[status(thm)],[f6,f7])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ((sP0_prd|s)|(sP1_prd&sP2_prd))&((~sP0_prd&~s)|(~sP1_prd|~sP2_prd))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 sP0_prd|s|sP1_prd),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 sP0_prd|s|sP2_prd),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ~sP0_prd|~sP1_prd|~sP2_prd),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ~s|~sP1_prd|~sP2_prd),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 (~sP0_prd|(~p|(q&~r)))&(sP0_prd|(p&(~q|r)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ~sP0_prd|~p|q),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ~sP0_prd|~p|~r),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 sP0_prd|p),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 sP0_prd|~q|r),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 (~sP1_prd|((~p|q)|s))&(sP1_prd|((p&~q)&~s))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ~sP1_prd|~p|q|s),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 sP1_prd|p),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 sP1_prd|~q),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 sP1_prd|~s),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 (~sP2_prd|((~p|~r)|s))&(sP2_prd|((p&r)&~s))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ~sP2_prd|~p|~r|s),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 sP2_prd|p),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 sP2_prd|r),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 sP2_prd|~s),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f29,definition,(
% 0.13/0.39 sQ0_spl <=> (sP0_prd)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f32,definition,(
% 0.13/0.39 sQ1_spl <=> (s)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f35,definition,(
% 0.13/0.39 sQ2_spl <=> (sP1_prd)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f10,f29,f32,f35])).
% 0.13/0.39 fof(f39,definition,(
% 0.13/0.39 sQ3_spl <=> (sP2_prd)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f11,f29,f32,f39])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f12,f29,f35,f39])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f13,f32,f35,f39])).
% 0.13/0.39 fof(f45,definition,(
% 0.13/0.39 sQ4_spl <=> (p)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f48,definition,(
% 0.13/0.39 sQ5_spl <=> (q)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f15,f29,f45,f48])).
% 0.13/0.39 fof(f52,definition,(
% 0.13/0.39 sQ6_spl <=> (r)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f16,f29,f45,f52])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f17,f29,f45])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 sQ0_spl|~sQ5_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f18,f29,f48,f52])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ4_spl|sQ5_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f20,f35,f45,f48,f32])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 sQ2_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f21,f35,f45])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 sQ2_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f22,f35,f48])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f23,f35,f32])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ~sQ3_spl|~sQ4_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f25,f39,f45,f52,f32])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 sQ3_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f26,f39,f45])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 sQ3_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f27,f39,f52])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 sQ3_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f28,f39,f32])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f38,f42,f43,f44,f51,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.038331 seconds
% 0.13/0.41 % CPU time: 0.102107 seconds
% 0.13/0.41 % Total memory used: 16.668 MB
% 0.13/0.41 % Net memory used: 16.196 MB
%------------------------------------------------------------------------------