%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN004-1.007 : 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 : 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 03:18:42 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.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 10:41:32 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,negated_conjecture,(
% 0.13/0.38 ( ~ p_1| ~ q_1| p_2 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 ( ~ p_2| ~ q_2| p_3 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 ( ~ p_3| ~ q_3| p_4 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 ( ~ p_4| ~ q_4| p_5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 ( ~ p_5| ~ q_5| p_6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 ( ~ p_6| ~ q_6| p_7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,negated_conjecture,(
% 0.13/0.38 ( ~ p_1| ~ q_1| q_2 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,negated_conjecture,(
% 0.13/0.38 ( ~ p_2| ~ q_2| q_3 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,negated_conjecture,(
% 0.13/0.38 ( ~ p_3| ~ q_3| q_4 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,negated_conjecture,(
% 0.13/0.38 ( ~ p_4| ~ q_4| q_5 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,negated_conjecture,(
% 0.13/0.38 ( ~ p_5| ~ q_5| q_6 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,negated_conjecture,(
% 0.13/0.38 ( ~ p_6| ~ q_6| q_7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 p_1 ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,negated_conjecture,(
% 0.13/0.38 q_1 ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 ( ~ p_7| ~ q_7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ~p_1|~q_1|p_2),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ~p_2|~q_2|p_3),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ~p_3|~q_3|p_4),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ~p_4|~q_4|p_5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ~p_5|~q_5|p_6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ~p_6|~q_6|p_7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ~p_1|~q_1|q_2),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ~p_2|~q_2|q_3),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ~p_3|~q_3|q_4),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ~p_4|~q_4|q_5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ~p_5|~q_5|q_6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ~p_6|~q_6|q_7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 p_1),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 q_1),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ~p_7|~q_7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f31,definition,(
% 0.13/0.38 sQ0_spl <=> (p_1)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ~p_1|sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.38 fof(f34,definition,(
% 0.13/0.38 sQ1_spl <=> (q_1)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ~q_1|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f34])).
% 0.13/0.38 fof(f37,definition,(
% 0.13/0.38 sQ2_spl <=> (p_2)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ~sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f16,f31,f34,f37])).
% 0.13/0.38 fof(f41,definition,(
% 0.13/0.38 sQ3_spl <=> (q_2)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f44,definition,(
% 0.13/0.38 sQ4_spl <=> (p_3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ3_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f17,f37,f41,f44])).
% 0.13/0.38 fof(f48,definition,(
% 0.13/0.38 sQ5_spl <=> (q_3)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f51,definition,(
% 0.13/0.38 sQ6_spl <=> (p_4)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ5_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f18,f44,f48,f51])).
% 0.13/0.38 fof(f55,definition,(
% 0.13/0.38 sQ7_spl <=> (q_4)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f58,definition,(
% 0.13/0.38 sQ8_spl <=> (p_5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 ~sQ6_spl|~sQ7_spl|sQ8_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f19,f51,f55,f58])).
% 0.13/0.38 fof(f62,definition,(
% 0.13/0.38 sQ9_spl <=> (q_5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f65,definition,(
% 0.13/0.38 sQ10_spl <=> (p_6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 ~sQ8_spl|~sQ9_spl|sQ10_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f20,f58,f62,f65])).
% 0.13/0.38 fof(f69,definition,(
% 0.13/0.38 sQ11_spl <=> (q_6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f72,definition,(
% 0.13/0.38 sQ12_spl <=> (p_7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 ~sQ10_spl|~sQ11_spl|sQ12_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f21,f65,f69,f72])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 ~sQ0_spl|~sQ1_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f22,f31,f34,f41])).
% 0.13/0.38 fof(f77,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ3_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f23,f37,f41,f48])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ5_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f24,f44,f48,f55])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 ~sQ6_spl|~sQ7_spl|sQ9_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f25,f51,f55,f62])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 ~sQ8_spl|~sQ9_spl|sQ11_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f26,f58,f62,f69])).
% 0.13/0.38 fof(f81,definition,(
% 0.13/0.38 sQ13_spl <=> (q_7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 ~sQ10_spl|~sQ11_spl|sQ13_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f27,f65,f69,f81])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 ~sQ12_spl|~sQ13_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f30,f72,f81])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 $false|sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f33,f28])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f86])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 $false|sQ1_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f36,f29])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f88])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f40,f47,f54,f61,f68,f75,f76,f77,f78,f79,f80,f84,f85,f87,f89])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.040791 seconds
% 0.13/0.40 % CPU time: 0.120558 seconds
% 0.13/0.40 % Total memory used: 46.741 MB
% 0.13/0.40 % Net memory used: 46.371 MB
%------------------------------------------------------------------------------