%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ016-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:00:15 PM UTC 2026
% Result : Satisfiable 0.09s 0.39s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ horizontal_1_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ horizontal_1_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ vertical_1_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ vertical_1_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( vertical_1_1
| horizontal_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( horizontal_1_3
| vertical_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( vertical_1_4
| horizontal_2_3
| vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( vertical_2_4
| horizontal_3_3
| vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( vertical_3_1
| horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( vertical_3_4
| horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( ~ vertical_1_1
| ~ vertical_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,plain,
~ horizontal_1_2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f68,plain,
~ horizontal_1_3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
~ vertical_1_2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
~ vertical_1_3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
~ horizontal_1_1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f73,plain,
( vertical_1_1
| horizontal_1_1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f74,plain,
( horizontal_1_3
| vertical_1_4 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f75,plain,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f76,plain,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f77,plain,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f78,plain,
( vertical_1_4
| horizontal_2_3
| vertical_2_4 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f79,plain,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f80,plain,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f81,plain,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f82,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_4 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f83,plain,
( vertical_3_1
| horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f84,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f85,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f86,plain,
( vertical_3_4
| horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f89,plain,
( ~ vertical_2_1
| ~ horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f90,plain,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f91,plain,
( ~ vertical_1_1
| ~ vertical_2_1 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f92,plain,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f93,plain,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f94,plain,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f95,plain,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f96,plain,
( ~ vertical_1_2
| ~ vertical_2_2 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f97,plain,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f98,plain,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f99,plain,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f100,plain,
( ~ vertical_1_3
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f101,plain,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f102,plain,
( ~ vertical_1_3
| ~ vertical_2_3 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f103,plain,
( ~ vertical_1_3
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f104,plain,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f105,plain,
( ~ vertical_1_4
| ~ vertical_2_4 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f106,plain,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f107,plain,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f108,plain,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f109,plain,
( ~ vertical_2_1
| ~ vertical_3_1 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f110,plain,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f111,plain,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f112,plain,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f113,plain,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f114,plain,
( ~ vertical_2_2
| ~ vertical_3_2 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f115,plain,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f116,plain,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f117,plain,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f118,plain,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f119,plain,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f120,plain,
( ~ vertical_2_3
| ~ vertical_3_3 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f121,plain,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f122,plain,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f123,plain,
( ~ vertical_2_4
| ~ vertical_3_4 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f124,plain,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f125,plain,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f126,plain,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f127,plain,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f128,plain,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f129,plain,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f130,plain,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f131,plain,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f132,plain,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f133,definition,
( sQ0_spl
<=> horizontal_1_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ0_spl
| horizontal_1_1 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ1_spl
<=> vertical_1_1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ1_spl
| vertical_1_1 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ1_spl
| ~ vertical_1_1 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f133,f136]) ).
fof(f140,definition,
( sQ2_spl
<=> vertical_1_4 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ2_spl
| vertical_1_4 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ2_spl
| ~ vertical_1_4 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ3_spl
<=> horizontal_1_3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ3_spl
| horizontal_1_3 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f74,f140,f143]) ).
fof(f147,definition,
( sQ4_spl
<=> horizontal_2_1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ4_spl
| horizontal_2_1 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ4_spl
| ~ horizontal_2_1 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ5_spl
<=> vertical_2_1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ5_spl
| ~ vertical_2_1 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( sQ1_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f75,f147,f150,f136]) ).
fof(f154,definition,
( sQ6_spl
<=> horizontal_2_2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ6_spl
| horizontal_2_2 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ6_spl
| ~ horizontal_2_2 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ7_spl
<=> vertical_2_2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( sQ7_spl
| ~ vertical_2_2 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ8_spl
<=> vertical_1_2 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ8_spl
| sQ4_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f76,f154,f157,f147,f160]) ).
fof(f164,definition,
( sQ9_spl
<=> horizontal_2_3 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ9_spl
| horizontal_2_3 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ9_spl
| ~ horizontal_2_3 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ10_spl
<=> vertical_2_3 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ10_spl
| ~ vertical_2_3 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ11_spl
<=> vertical_1_3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ11_spl
| vertical_1_3 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ11_spl
| sQ6_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f77,f164,f167,f154,f170]) ).
fof(f174,definition,
( sQ12_spl
<=> vertical_2_4 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ12_spl
| ~ vertical_2_4 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( sQ2_spl
| sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f78,f174,f164,f140]) ).
fof(f178,definition,
( sQ13_spl
<=> horizontal_3_1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ13_spl
| horizontal_3_1 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ13_spl
| ~ horizontal_3_1 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ14_spl
<=> vertical_3_1 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ14_spl
| vertical_3_1 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ14_spl
| ~ vertical_3_1 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ5_spl
| sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f79,f178,f181,f150]) ).
fof(f185,definition,
( sQ15_spl
<=> horizontal_3_2 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ15_spl
| horizontal_3_2 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ15_spl
| ~ horizontal_3_2 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ16_spl
<=> vertical_3_2 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ16_spl
| vertical_3_2 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ16_spl
| ~ vertical_3_2 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ7_spl
| sQ13_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f80,f185,f188,f178,f157]) ).
fof(f192,definition,
( sQ17_spl
<=> horizontal_3_3 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ17_spl
| horizontal_3_3 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ17_spl
| ~ horizontal_3_3 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ18_spl
<=> vertical_3_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ18_spl
| ~ vertical_3_3 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( sQ10_spl
| sQ15_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f81,f192,f195,f185,f167]) ).
fof(f199,definition,
( sQ19_spl
<=> vertical_3_4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ19_spl
| vertical_3_4 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ19_spl
| ~ vertical_3_4 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ12_spl
| sQ17_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f82,f199,f192,f174]) ).
fof(f203,definition,
( sQ20_spl
<=> horizontal_4_1 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ20_spl
| horizontal_4_1 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ20_spl
| ~ horizontal_4_1 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( sQ14_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f83,f203,f181]) ).
fof(f207,definition,
( sQ21_spl
<=> horizontal_4_2 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ21_spl
| horizontal_4_2 ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ21_spl
| ~ horizontal_4_2 ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ16_spl
| sQ20_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f84,f207,f203,f188]) ).
fof(f211,definition,
( sQ22_spl
<=> horizontal_4_3 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ22_spl
| horizontal_4_3 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ22_spl
| ~ horizontal_4_3 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( sQ18_spl
| sQ21_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f85,f211,f207,f195]) ).
fof(f215,plain,
( sQ19_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f86,f211,f199]) ).
fof(f218,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f89,f147,f150]) ).
fof(f219,plain,
( ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f90,f147,f136]) ).
fof(f220,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f91,f150,f136]) ).
fof(f221,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f92,f154,f157]) ).
fof(f222,plain,
( ~ sQ4_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f93,f154,f147]) ).
fof(f223,plain,
( ~ sQ8_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f94,f154,f160]) ).
fof(f224,plain,
( ~ sQ4_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f95,f157,f147]) ).
fof(f225,plain,
( ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f96,f157,f160]) ).
fof(f226,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f97,f147,f160]) ).
fof(f227,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f98,f164,f167]) ).
fof(f228,plain,
( ~ sQ6_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f99,f164,f154]) ).
fof(f229,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f100,f164,f170]) ).
fof(f230,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f101,f167,f154]) ).
fof(f231,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f102,f167,f170]) ).
fof(f232,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f103,f154,f170]) ).
fof(f233,plain,
( ~ sQ9_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f104,f174,f164]) ).
fof(f234,plain,
( ~ sQ2_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f105,f174,f140]) ).
fof(f235,plain,
( ~ sQ2_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f106,f164,f140]) ).
fof(f236,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f107,f178,f181]) ).
fof(f237,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f108,f178,f150]) ).
fof(f238,plain,
( ~ sQ5_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f109,f181,f150]) ).
fof(f239,plain,
( ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f110,f185,f188]) ).
fof(f240,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f111,f185,f178]) ).
fof(f241,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f112,f185,f157]) ).
fof(f242,plain,
( ~ sQ13_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f113,f188,f178]) ).
fof(f243,plain,
( ~ sQ7_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f114,f188,f157]) ).
fof(f244,plain,
( ~ sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f115,f178,f157]) ).
fof(f245,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f116,f192,f195]) ).
fof(f246,plain,
( ~ sQ15_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f117,f192,f185]) ).
fof(f247,plain,
( ~ sQ10_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f118,f192,f167]) ).
fof(f248,plain,
( ~ sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f119,f195,f185]) ).
fof(f249,plain,
( ~ sQ10_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f120,f195,f167]) ).
fof(f250,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f121,f185,f167]) ).
fof(f251,plain,
( ~ sQ17_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f122,f199,f192]) ).
fof(f252,plain,
( ~ sQ12_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f123,f199,f174]) ).
fof(f253,plain,
( ~ sQ12_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f124,f192,f174]) ).
fof(f254,plain,
( ~ sQ14_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f125,f203,f181]) ).
fof(f255,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f126,f207,f203]) ).
fof(f256,plain,
( ~ sQ16_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f127,f207,f188]) ).
fof(f257,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f128,f203,f188]) ).
fof(f258,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f129,f211,f207]) ).
fof(f259,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f130,f211,f195]) ).
fof(f260,plain,
( ~ sQ18_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f131,f207,f195]) ).
fof(f261,plain,
( ~ sQ19_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f132,f211,f199]) ).
fof(f262,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f68]) ).
fof(f263,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f71]) ).
fof(f265,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f264]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| sQ22_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ016-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:45:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.041890 seconds
% 0.09/0.41 % CPU time: 0.106366 seconds
% 0.09/0.41 % Total memory used: 17.860 MB
% 0.09/0.41 % Net memory used: 17.852 MB
%------------------------------------------------------------------------------