%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 03:18:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.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 10:40:32 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,hypothesis,(
% 0.14/0.38 ( h| a| ~ j ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,hypothesis,(
% 0.14/0.38 ( h| k| j ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,hypothesis,(
% 0.14/0.38 ( h| j| ~ k ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,hypothesis,(
% 0.14/0.38 ( b| ~ a ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,hypothesis,(
% 0.14/0.38 ( c| ~ h ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,hypothesis,(
% 0.14/0.38 ( ~ h| ~ c ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,negated_conjecture,(
% 0.14/0.38 ( ~ a| ~ b ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,plain,(
% 0.14/0.38 h|a|~j),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f9,plain,(
% 0.14/0.38 h|k|j),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 h|j|~k),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 b|~a),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 c|~h),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ~h|~c),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ~a|~b),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f15,definition,(
% 0.14/0.38 sQ0_spl <=> (h)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f18,definition,(
% 0.14/0.38 sQ1_spl <=> (a)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f21,definition,(
% 0.14/0.38 sQ2_spl <=> (j)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl|~sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f8,f15,f18,f21])).
% 0.14/0.38 fof(f25,definition,(
% 0.14/0.38 sQ3_spl <=> (k)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 sQ0_spl|sQ3_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f9,f15,f25,f21])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 sQ0_spl|sQ2_spl|~sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f10,f15,f21,f25])).
% 0.14/0.38 fof(f30,definition,(
% 0.14/0.38 sQ4_spl <=> (b)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 sQ4_spl|~sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f11,f30,f18])).
% 0.14/0.38 fof(f34,definition,(
% 0.14/0.38 sQ5_spl <=> (c)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 sQ5_spl|~sQ0_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f12,f34,f15])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 ~sQ0_spl|~sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f13,f15,f34])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 ~sQ1_spl|~sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f14,f18,f30])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f24,f28,f29,f33,f37,f38,f39])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.042031 seconds
% 0.14/0.41 % CPU time: 0.105728 seconds
% 0.14/0.41 % Total memory used: 16.450 MB
% 0.14/0.41 % Net memory used: 15.876 MB
%------------------------------------------------------------------------------