%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN010-1.005.005 : 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 : n016.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 03:18:43 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 10:43:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,negated_conjecture,(
% 0.11/0.40 ~ p_0 ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,negated_conjecture,(
% 0.11/0.40 ( p_0| ~ p_1_1| ~ p_1_2| ~ p_1_3| ~ p_1_4| ~ p_1_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,negated_conjecture,(
% 0.11/0.40 ( p_1_1| ~ p_2_1| ~ p_2_2| ~ p_2_3| ~ p_2_4| ~ p_2_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,negated_conjecture,(
% 0.11/0.40 ( p_1_2| ~ p_2_1| ~ p_2_2| ~ p_2_3| ~ p_2_4| ~ p_2_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,negated_conjecture,(
% 0.11/0.40 ( p_1_3| ~ p_2_1| ~ p_2_2| ~ p_2_3| ~ p_2_4| ~ p_2_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 ( p_1_4| ~ p_2_1| ~ p_2_2| ~ p_2_3| ~ p_2_4| ~ p_2_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 ( p_1_5| ~ p_2_1| ~ p_2_2| ~ p_2_3| ~ p_2_4| ~ p_2_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,negated_conjecture,(
% 0.11/0.40 ( p_2_1| ~ p_3_1| ~ p_3_2| ~ p_3_3| ~ p_3_4| ~ p_3_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,negated_conjecture,(
% 0.11/0.40 ( p_2_2| ~ p_3_1| ~ p_3_2| ~ p_3_3| ~ p_3_4| ~ p_3_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,negated_conjecture,(
% 0.11/0.40 ( p_2_3| ~ p_3_1| ~ p_3_2| ~ p_3_3| ~ p_3_4| ~ p_3_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 ( p_2_4| ~ p_3_1| ~ p_3_2| ~ p_3_3| ~ p_3_4| ~ p_3_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,negated_conjecture,(
% 0.11/0.40 ( p_2_5| ~ p_3_1| ~ p_3_2| ~ p_3_3| ~ p_3_4| ~ p_3_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f13,negated_conjecture,(
% 0.11/0.40 ( p_3_1| ~ p_4_1| ~ p_4_2| ~ p_4_3| ~ p_4_4| ~ p_4_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f14,negated_conjecture,(
% 0.11/0.40 ( p_3_2| ~ p_4_1| ~ p_4_2| ~ p_4_3| ~ p_4_4| ~ p_4_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f15,negated_conjecture,(
% 0.11/0.40 ( p_3_3| ~ p_4_1| ~ p_4_2| ~ p_4_3| ~ p_4_4| ~ p_4_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,negated_conjecture,(
% 0.11/0.40 ( p_3_4| ~ p_4_1| ~ p_4_2| ~ p_4_3| ~ p_4_4| ~ p_4_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f17,negated_conjecture,(
% 0.11/0.40 ( p_3_5| ~ p_4_1| ~ p_4_2| ~ p_4_3| ~ p_4_4| ~ p_4_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,negated_conjecture,(
% 0.11/0.40 ( p_4_1| ~ p_5_1| ~ p_5_2| ~ p_5_3| ~ p_5_4| ~ p_5_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f19,negated_conjecture,(
% 0.11/0.40 ( p_4_2| ~ p_5_1| ~ p_5_2| ~ p_5_3| ~ p_5_4| ~ p_5_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f20,negated_conjecture,(
% 0.11/0.40 ( p_4_3| ~ p_5_1| ~ p_5_2| ~ p_5_3| ~ p_5_4| ~ p_5_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f21,negated_conjecture,(
% 0.11/0.40 ( p_4_4| ~ p_5_1| ~ p_5_2| ~ p_5_3| ~ p_5_4| ~ p_5_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f22,negated_conjecture,(
% 0.11/0.40 ( p_4_5| ~ p_5_1| ~ p_5_2| ~ p_5_3| ~ p_5_4| ~ p_5_5 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f23,negated_conjecture,(
% 0.11/0.40 p_5_1 ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f24,negated_conjecture,(
% 0.11/0.40 p_5_2 ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f25,negated_conjecture,(
% 0.11/0.40 p_5_3 ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f26,negated_conjecture,(
% 0.11/0.40 p_5_4 ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f27,negated_conjecture,(
% 0.11/0.40 p_5_5 ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f28,plain,(
% 0.11/0.40 ~p_0),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f29,plain,(
% 0.11/0.40 p_0|~p_1_1|~p_1_2|~p_1_3|~p_1_4|~p_1_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f30,plain,(
% 0.11/0.40 p_1_1|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f31,plain,(
% 0.11/0.40 p_1_2|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f32,plain,(
% 0.11/0.40 p_1_3|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f33,plain,(
% 0.11/0.40 p_1_4|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f34,plain,(
% 0.11/0.40 p_1_5|~p_2_1|~p_2_2|~p_2_3|~p_2_4|~p_2_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f35,plain,(
% 0.11/0.40 p_2_1|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.40 fof(f36,plain,(
% 0.11/0.40 p_2_2|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 p_2_3|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.40 fof(f38,plain,(
% 0.11/0.40 p_2_4|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f39,plain,(
% 0.11/0.40 p_2_5|~p_3_1|~p_3_2|~p_3_3|~p_3_4|~p_3_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 p_3_1|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.40 fof(f41,plain,(
% 0.11/0.40 p_3_2|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 p_3_3|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 p_3_4|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 p_3_5|~p_4_1|~p_4_2|~p_4_3|~p_4_4|~p_4_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 p_4_1|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.40 fof(f46,plain,(
% 0.11/0.40 p_4_2|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 p_4_3|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.40 fof(f48,plain,(
% 0.11/0.40 p_4_4|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f49,plain,(
% 0.11/0.40 p_4_5|~p_5_1|~p_5_2|~p_5_3|~p_5_4|~p_5_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 p_5_1),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.40 fof(f51,plain,(
% 0.11/0.40 p_5_2),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 p_5_3),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 p_5_4),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.40 fof(f54,plain,(
% 0.11/0.40 p_5_5),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.40 fof(f55,definition,(
% 0.11/0.40 sQ0_spl <=> (p_0)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f56,plain,(
% 0.11/0.40 p_0|~sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.11/0.40 fof(f58,definition,(
% 0.11/0.40 sQ1_spl <=> (p_1_1)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f61,definition,(
% 0.11/0.40 sQ2_spl <=> (p_1_2)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f64,definition,(
% 0.11/0.40 sQ3_spl <=> (p_1_3)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f67,definition,(
% 0.11/0.40 sQ4_spl <=> (p_1_4)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f70,definition,(
% 0.11/0.40 sQ5_spl <=> (p_1_5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f73,plain,(
% 0.11/0.40 sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f29,f55,f58,f61,f64,f67,f70])).
% 0.11/0.40 fof(f74,definition,(
% 0.11/0.40 sQ6_spl <=> (p_2_1)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f77,definition,(
% 0.11/0.40 sQ7_spl <=> (p_2_2)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f80,definition,(
% 0.11/0.40 sQ8_spl <=> (p_2_3)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f83,definition,(
% 0.11/0.40 sQ9_spl <=> (p_2_4)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f86,definition,(
% 0.11/0.40 sQ10_spl <=> (p_2_5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f89,plain,(
% 0.11/0.40 sQ1_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f30,f58,f74,f77,f80,f83,f86])).
% 0.11/0.40 fof(f90,plain,(
% 0.11/0.40 sQ2_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f31,f61,f74,f77,f80,f83,f86])).
% 0.11/0.40 fof(f91,plain,(
% 0.11/0.40 sQ3_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f32,f64,f74,f77,f80,f83,f86])).
% 0.11/0.40 fof(f92,plain,(
% 0.11/0.40 sQ4_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f33,f67,f74,f77,f80,f83,f86])).
% 0.11/0.40 fof(f93,plain,(
% 0.11/0.40 sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f34,f70,f74,f77,f80,f83,f86])).
% 0.11/0.40 fof(f94,definition,(
% 0.11/0.40 sQ11_spl <=> (p_3_1)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f97,definition,(
% 0.11/0.40 sQ12_spl <=> (p_3_2)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f100,definition,(
% 0.11/0.40 sQ13_spl <=> (p_3_3)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f103,definition,(
% 0.11/0.40 sQ14_spl <=> (p_3_4)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f106,definition,(
% 0.11/0.40 sQ15_spl <=> (p_3_5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f109,plain,(
% 0.11/0.40 sQ6_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f35,f74,f94,f97,f100,f103,f106])).
% 0.11/0.40 fof(f110,plain,(
% 0.11/0.40 sQ7_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f36,f77,f94,f97,f100,f103,f106])).
% 0.11/0.40 fof(f111,plain,(
% 0.11/0.40 sQ8_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f37,f80,f94,f97,f100,f103,f106])).
% 0.11/0.40 fof(f112,plain,(
% 0.11/0.40 sQ9_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f38,f83,f94,f97,f100,f103,f106])).
% 0.11/0.40 fof(f113,plain,(
% 0.11/0.40 sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f39,f86,f94,f97,f100,f103,f106])).
% 0.11/0.40 fof(f114,definition,(
% 0.11/0.40 sQ16_spl <=> (p_4_1)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f117,definition,(
% 0.11/0.40 sQ17_spl <=> (p_4_2)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f120,definition,(
% 0.11/0.40 sQ18_spl <=> (p_4_3)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f123,definition,(
% 0.11/0.40 sQ19_spl <=> (p_4_4)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f126,definition,(
% 0.11/0.40 sQ20_spl <=> (p_4_5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f129,plain,(
% 0.11/0.40 sQ11_spl|~sQ16_spl|~sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f40,f94,f114,f117,f120,f123,f126])).
% 0.11/0.40 fof(f130,plain,(
% 0.11/0.40 sQ12_spl|~sQ16_spl|~sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f41,f97,f114,f117,f120,f123,f126])).
% 0.11/0.40 fof(f131,plain,(
% 0.11/0.40 sQ13_spl|~sQ16_spl|~sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f42,f100,f114,f117,f120,f123,f126])).
% 0.11/0.40 fof(f132,plain,(
% 0.11/0.40 sQ14_spl|~sQ16_spl|~sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f43,f103,f114,f117,f120,f123,f126])).
% 0.11/0.40 fof(f133,plain,(
% 0.11/0.40 sQ15_spl|~sQ16_spl|~sQ17_spl|~sQ18_spl|~sQ19_spl|~sQ20_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f44,f106,f114,f117,f120,f123,f126])).
% 0.11/0.40 fof(f134,definition,(
% 0.11/0.40 sQ21_spl <=> (p_5_1)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f136,plain,(
% 0.11/0.40 ~p_5_1|sQ21_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f134])).
% 0.11/0.40 fof(f137,definition,(
% 0.11/0.40 sQ22_spl <=> (p_5_2)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f139,plain,(
% 0.11/0.40 ~p_5_2|sQ22_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f137])).
% 0.11/0.40 fof(f140,definition,(
% 0.11/0.40 sQ23_spl <=> (p_5_3)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f142,plain,(
% 0.11/0.40 ~p_5_3|sQ23_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f140])).
% 0.11/0.40 fof(f143,definition,(
% 0.11/0.40 sQ24_spl <=> (p_5_4)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f145,plain,(
% 0.11/0.40 ~p_5_4|sQ24_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f143])).
% 0.11/0.40 fof(f146,definition,(
% 0.11/0.40 sQ25_spl <=> (p_5_5)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f148,plain,(
% 0.11/0.40 ~p_5_5|sQ25_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f146])).
% 0.11/0.40 fof(f149,plain,(
% 0.11/0.40 sQ16_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f45,f114,f134,f137,f140,f143,f146])).
% 0.11/0.40 fof(f150,plain,(
% 0.11/0.40 sQ17_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f46,f117,f134,f137,f140,f143,f146])).
% 0.11/0.40 fof(f151,plain,(
% 0.11/0.40 sQ18_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f47,f120,f134,f137,f140,f143,f146])).
% 0.11/0.40 fof(f152,plain,(
% 0.11/0.40 sQ19_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f48,f123,f134,f137,f140,f143,f146])).
% 0.11/0.40 fof(f153,plain,(
% 0.11/0.40 sQ20_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f49,f126,f134,f137,f140,f143,f146])).
% 0.11/0.40 fof(f154,plain,(
% 0.11/0.40 $false|sQ25_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f148,f54])).
% 0.11/0.40 fof(f155,plain,(
% 0.11/0.40 sQ25_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f154])).
% 0.11/0.40 fof(f156,plain,(
% 0.11/0.40 $false|sQ24_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f145,f53])).
% 0.11/0.40 fof(f157,plain,(
% 0.11/0.40 sQ24_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f156])).
% 0.11/0.40 fof(f158,plain,(
% 0.11/0.40 $false|sQ23_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f142,f52])).
% 0.11/0.40 fof(f159,plain,(
% 0.11/0.40 sQ23_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f158])).
% 0.11/0.40 fof(f160,plain,(
% 0.11/0.40 $false|sQ22_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f139,f51])).
% 0.11/0.40 fof(f161,plain,(
% 0.11/0.40 sQ22_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f160])).
% 0.11/0.40 fof(f162,plain,(
% 0.11/0.40 $false|sQ21_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f136,f50])).
% 0.11/0.40 fof(f163,plain,(
% 0.11/0.40 sQ21_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f162])).
% 0.11/0.40 fof(f164,plain,(
% 0.11/0.40 $false|~sQ0_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f56,f28])).
% 0.11/0.40 fof(f165,plain,(
% 0.11/0.40 ~sQ0_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f164])).
% 0.11/0.40 fof(f166,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f73,f89,f90,f91,f92,f93,f109,f110,f111,f112,f113,f129,f130,f131,f132,f133,f149,f150,f151,f152,f153,f155,f157,f159,f161,f163,f165])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.030599 seconds
% 0.11/0.42 % CPU time: 0.067685 seconds
% 0.11/0.42 % Total memory used: 5.282 MB
% 0.11/0.42 % Net memory used: 5.271 MB
%------------------------------------------------------------------------------