↑ Up

E---3.5.1.SAT-Sat.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN490-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 03:25:06 PM UTC 2026

% Result   : Satisfiable 0.23s 5.58s
% Output   : Saturation 0.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_83ERROR: Could not build tree for root c_0_231ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_58,negated_conjecture,
    ( hskp11
    | hskp3
    | hskp10 ),
    clause16,
    [final] ).

cnf(c_0_63,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]),
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | hskp12
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( ~ hskp9
    | c3_1(a6) ),
    c_0_64,
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( ~ hskp9
    | c1_1(a6) ),
    c_0_65,
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp9
    | c2_1(a6) ),
    c_0_66,
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ hskp11
    | c3_1(a9) ),
    c_0_67,
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( ~ hskp11
    | c1_1(a9) ),
    c_0_68,
    [final] ).

cnf(c_0_82,negated_conjecture,
    ( ~ hskp11
    | c2_1(a9) ),
    c_0_69,
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp7
    | c3_1(a1) ),
    c_0_71,
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( ~ hskp7
    | c1_1(a1) ),
    c_0_72,
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_63])]),
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1) ),
    c_0_74,
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(X1)
    | hskp12
    | c2_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]),
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(X1)
    | hskp12
    | c2_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_80]),c_0_81]),c_0_82]),
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_63])]),
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X1)
    | ~ c2_1(a1)
    | hskp12
    | c2_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_84]),c_0_85]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp4
    | c1_1(X1)
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_85]),
    [final] ).

cnf(c_0_104,negated_conjecture,
    ( hskp13
    | hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_63])]),
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( ~ hskp3
    | c3_1(a8) ),
    c_0_90,
    [final] ).

cnf(c_0_106,negated_conjecture,
    ( ~ hskp3
    | c1_1(a8) ),
    c_0_91,
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp13
    | c3_1(a15) ),
    c_0_92,
    [final] ).

cnf(c_0_108,negated_conjecture,
    ( ~ hskp13
    | c1_1(a15) ),
    c_0_93,
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( ~ hskp13
    | c2_1(a15) ),
    c_0_94,
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | hskp12
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_95]),
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | hskp12
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_96]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(a9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_82]),c_0_81]),
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( ~ hskp4
    | c2_1(a11) ),
    c_0_98,
    [final] ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp4
    | c1_1(a11) ),
    c_0_99,
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a11) ),
    c_0_100,
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | hskp12
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_101]),c_0_102]),
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( hskp5
    | hskp3
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_63])]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | hskp13
    | hskp6
    | hskp4
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_104]),
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(X1)
    | ~ c2_1(a8)
    | hskp12
    | c2_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_105]),c_0_106]),
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(X1)
    | hskp12
    | c2_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_107]),c_0_108]),c_0_109]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a8) ),
    c_0_110,
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_95]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp10
    | c3_1(a7) ),
    c_0_112,
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a7) ),
    c_0_113,
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a7) ),
    c_0_114,
    [final] ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_96]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp10
    | hskp3
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(a9) ),
    inference(spm,[status(thm)],[c_0_116,c_0_58]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp8
    | c2_1(a3) ),
    c_0_117,
    [final] ).

cnf(c_0_136,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a3) ),
    c_0_118,
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a3) ),
    c_0_119,
    [final] ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_120]),c_0_121]),c_0_122]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp12
    | hskp5
    | hskp4
    | hskp3
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp13
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | c3_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_124]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(a8)
    | ~ c0_1(X2)
    | hskp12
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_126]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | hskp12
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_127]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp13
    | ~ hskp3
    | hskp12
    | c2_1(a8) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_127]),c_0_105]),
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | hskp12
    | c2_1(a8) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_95]),c_0_105]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c3_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_95]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ c2_1(a1)
    | hskp12
    | c2_1(a8) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_101]),c_0_105]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_96]),c_0_133]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp11
    | ~ hskp3
    | hskp12
    | c2_1(a8) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_96]),c_0_105]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp8
    | hskp10
    | hskp3
    | hskp1
    | c0_1(a9) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp8
    | ~ hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_138]),c_0_135]),c_0_137]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp2
    | c0_1(a5) ),
    c_0_139,
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp2
    | c1_1(a5) ),
    c_0_140,
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a5) ),
    c_0_141,
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp5
    | hskp4
    | hskp3
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(X1)
    | hskp13
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | c3_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(a8)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_126]),
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(a1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_101]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_145,c_0_127]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp13
    | ~ hskp3
    | ~ c2_1(X1)
    | hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_146]),c_0_106]),c_0_128]),
    [final] ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | ~ c2_1(X1)
    | hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_147]),c_0_106]),c_0_128]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a4) ),
    c_0_148,
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ c1_1(X1)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_130]),c_0_150]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp1
    | c1_1(a4) ),
    c_0_151,
    [final] ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp12
    | c3_1(a10) ),
    c_0_152,
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a10) ),
    c_0_153,
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a10) ),
    c_0_154,
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ c2_1(X1)
    | ~ c2_1(a1)
    | hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_155]),c_0_106]),c_0_128]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ c1_1(X1)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp11
    | ~ hskp3
    | ~ c2_1(X1)
    | hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_157]),c_0_106]),c_0_128]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(a9)
    | ~ c0_1(X1)
    | hskp10
    | hskp3
    | hskp1
    | c1_1(X1)
    | c2_1(a9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_158]),c_0_159]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp4
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_161]),c_0_162]),c_0_163]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a12) ),
    c_0_164,
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a12) ),
    c_0_165,
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ c1_1(X1)
    | hskp13
    | hskp12
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(a8)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c3_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp10
    | ~ hskp3
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a8)
    | hskp12
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(a1)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c3_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_101]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a1)
    | hskp12
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp13
    | ~ hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp13
    | ~ hskp8
    | ~ hskp3
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_171]),c_0_135]),c_0_137]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | ~ hskp3
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_172]),c_0_135]),c_0_137]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ hskp1
    | hskp13
    | hskp12
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a4) ),
    c_0_176,
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(X1)
    | hskp13
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | c3_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_177]),c_0_178]),c_0_179]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ hskp3
    | ~ c2_1(a1)
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_180]),c_0_135]),c_0_137]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ hskp1
    | hskp13
    | hskp12
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_181]),c_0_175]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp11
    | ~ hskp8
    | ~ hskp3
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_182]),c_0_135]),c_0_137]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(a9)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a9) ),
    inference(spm,[status(thm)],[c_0_183,c_0_124]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ c3_1(X1)
    | ~ c2_1(a8)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_126]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | hskp9
    | hskp2
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_63])]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a2) ),
    c_0_185,
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a2) ),
    c_0_186,
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp13
    | ~ hskp7
    | ~ c3_1(X1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_127]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp11
    | ~ hskp7
    | ~ c3_1(X1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_96]),
    [final] ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp9
    | ~ hskp7
    | ~ c3_1(X1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_95]),
    [final] ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(X1)
    | hskp5
    | hskp4
    | hskp3
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_124]),
    [final] ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp3
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c2_1(a8)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_126]),
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c2_1(a1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_101]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp13
    | ~ hskp2
    | ~ c3_1(X1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_127]),
    [final] ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp11
    | ~ hskp2
    | ~ c3_1(X1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_96]),
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ c3_1(X1)
    | hskp12
    | hskp4
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_95]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(X1)
    | hskp5
    | hskp4
    | hskp3
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_124]),
    [final] ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a14) ),
    c_0_188,
    [final] ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a14) ),
    c_0_189,
    [final] ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp11
    | ~ hskp5
    | ~ c3_1(a12)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_96]),c_0_191]),
    [final] ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp5
    | hskp13
    | hskp6
    | c3_1(a12) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_104]),c_0_191]),
    [final] ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp9
    | ~ hskp5
    | ~ c3_1(a12)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_95]),c_0_191]),
    [final] ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp7
    | ~ hskp5
    | ~ c3_1(a12)
    | ~ c2_1(a1)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_101]),c_0_191]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp5
    | ~ hskp3
    | ~ c3_1(a12)
    | ~ c2_1(a8)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_126]),c_0_191]),
    [final] ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp13
    | hskp12
    | hskp6
    | hskp5
    | hskp3
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_192]),c_0_138]),
    [final] ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp10
    | ~ hskp3
    | ~ c1_1(X1)
    | ~ c2_1(a8)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_130]),c_0_194]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ c1_1(X1)
    | ~ c2_1(a1)
    | hskp13
    | hskp12
    | hskp6
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_130]),c_0_196]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp13
    | hskp12
    | hskp6
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_174]),c_0_138]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp13
    | hskp12
    | hskp6
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_181]),c_0_138]),
    [final] ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp13
    | ~ hskp8
    | ~ c3_1(X1)
    | ~ c3_1(a9)
    | ~ c1_1(X1)
    | hskp12
    | hskp1
    | c1_1(a9)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_158]),c_0_197]),c_0_159]),c_0_198]),
    [final] ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | ~ c3_1(X1)
    | ~ c3_1(a9)
    | ~ c1_1(X1)
    | hskp12
    | hskp1
    | c1_1(a9)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_158]),c_0_150]),c_0_159]),c_0_199]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c3_1(X1)
    | ~ c3_1(a9)
    | ~ c1_1(X1)
    | hskp12
    | hskp10
    | hskp3
    | hskp1
    | c1_1(a9)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_158]),c_0_159]),
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ hskp8
    | ~ hskp3
    | hskp13
    | hskp12
    | hskp6
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_200,c_0_199]),
    [final] ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp12
    | ~ hskp1
    | hskp13
    | hskp6
    | hskp5
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_175]),c_0_173]),
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp10
    | ~ hskp1
    | hskp13
    | hskp6
    | hskp5
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_167]),c_0_175]),c_0_173]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp13
    | ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(a9)
    | hskp12
    | hskp10
    | hskp1
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_127]),c_0_198]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c3_1(X1)
    | ~ c1_1(a9)
    | ~ c2_1(a1)
    | hskp12
    | hskp10
    | hskp1
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_101]),c_0_203]),
    [final] ).

cnf(c_0_244,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ hskp8
    | ~ hskp3
    | hskp13
    | hskp12
    | hskp6
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(a9)
    | hskp12
    | hskp10
    | hskp1
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(a9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_95]),c_0_199]),
    [final] ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp12
    | hskp4
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp12
    | ~ hskp8
    | ~ c1_1(a9)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c2_1(a9) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_177]),c_0_178]),c_0_179]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ hskp3
    | ~ c2_1(a8)
    | hskp12
    | hskp4
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a9)
    | ~ c1_1(X1)
    | hskp13
    | hskp10
    | hskp6
    | hskp3
    | hskp1
    | c3_1(X1)
    | c1_1(a9)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_158]),c_0_159]),
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ c2_1(X1)
    | ~ c2_1(a1)
    | hskp12
    | hskp9
    | hskp2
    | hskp1
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_180]),
    [final] ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp13
    | ~ hskp3
    | ~ c2_1(X1)
    | hskp12
    | hskp9
    | hskp2
    | hskp1
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_171]),
    [final] ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp13
    | ~ hskp3
    | ~ hskp0
    | ~ c2_1(a2)
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_171]),c_0_210]),
    [final] ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp13
    | ~ hskp10
    | ~ hskp7
    | hskp12
    | hskp4
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp11
    | ~ hskp3
    | ~ c2_1(X1)
    | hskp12
    | hskp9
    | hskp2
    | hskp1
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_182]),
    [final] ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp11
    | ~ hskp3
    | ~ hskp0
    | ~ c2_1(a2)
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_182]),c_0_210]),
    [final] ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ hskp7
    | hskp12
    | hskp4
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | ~ hskp0
    | ~ c2_1(a2)
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_172]),c_0_210]),
    [final] ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ hskp7
    | hskp12
    | hskp4
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ hskp0
    | ~ c2_1(a2)
    | ~ c2_1(a1)
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_180]),c_0_210]),
    [final] ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp12
    | ~ hskp7
    | hskp5
    | hskp4
    | hskp3
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_177]),c_0_178]),c_0_179]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | hskp5
    | hskp4
    | hskp3
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c3_1(a9)
    | hskp10
    | hskp3
    | hskp1
    | c1_1(a9)
    | c2_1(a1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_158]),c_0_159]),
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp10
    | ~ hskp3
    | ~ hskp2
    | ~ c2_1(a8)
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp10
    | ~ hskp7
    | ~ hskp2
    | ~ c2_1(a1)
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp13
    | ~ hskp10
    | ~ hskp2
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp11
    | ~ hskp10
    | ~ hskp2
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp10
    | ~ hskp9
    | ~ hskp2
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp12
    | ~ hskp2
    | hskp5
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_177]),c_0_178]),c_0_179]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp10
    | ~ hskp2
    | hskp5
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_130]),c_0_131]),c_0_132]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c3_1(a9)
    | hskp10
    | hskp3
    | hskp1
    | c1_1(a9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_158]),c_0_159]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp13
    | ~ hskp6
    | ~ c3_1(a14)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_127]),c_0_222]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp13
    | ~ hskp5
    | ~ c3_1(a12)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_127]),c_0_191]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp11
    | ~ hskp6
    | ~ c3_1(a14)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_96]),c_0_222]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp11
    | ~ hskp5
    | hskp13
    | hskp12
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c3_1(a14)
    | ~ c2_1(a1)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_101]),c_0_222]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ c3_1(a14)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_95]),c_0_222]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp9
    | ~ hskp5
    | hskp13
    | hskp12
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_225,c_0_224]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp7
    | ~ hskp5
    | ~ c2_1(a1)
    | hskp13
    | hskp12
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_226,c_0_224]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp6
    | ~ hskp3
    | ~ c3_1(a14)
    | ~ c2_1(a8)
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_126]),c_0_222]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp5
    | ~ hskp3
    | ~ c2_1(a8)
    | hskp13
    | hskp12
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_227,c_0_224]),
    [final] ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(a15) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_109]),c_0_108]),
    [final] ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(a6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_79]),c_0_78]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(X1)
    | hskp9
    | hskp2
    | hskp1
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_138]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp4
    | ~ hskp0
    | ~ c2_1(a2)
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_138]),c_0_210]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a12) ),
    c_0_228,
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp0
    | c0_1(a2) ),
    c_0_229,
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp6
    | c1_1(a14) ),
    c_0_230,
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( hskp8
    | hskp0
    | hskp7 ),
    clause15,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYN490-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/5.44  % Computer : n004.cluster.edu
% 0.18/5.44  % Model    : x86_64 x86_64
% 0.18/5.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44  % Memory   : 8046.5625MB
% 0.18/5.44  % OS       : Linux 6.8.0-71-generic
% 0.18/5.44  % CPULimit : 300
% 0.18/5.44  % WCLimit  : 300
% 0.18/5.44  % DateTime : Mon Sep 21 11:02:27 UTC 2026
% 0.18/5.44  % CPUTime  : 
% 0.18/5.44  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/5.49  Running first-order theorem proving
% 0.18/5.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/5.58  % Version: 3.5.1
% 0.23/5.58  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.23/5.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.58  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.23/5.58  % Starting new_bool_3 with 300s (1) cores
% 0.23/5.58  % Starting new_bool_1 with 300s (1) cores
% 0.23/5.58  % Starting sh5l with 300s (1) cores
% 0.23/5.58  % SAT001_MinMin_p005000_rr_RG with pid 2982409 completed with status 1
% 0.23/5.58  % Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/5.58  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.23/5.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.58  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.23/5.58  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/5.58  % No SInE strategy applied
% 0.23/5.58  % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.23/5.58  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/5.58  % Starting SubtermCWHack with 151s (1) cores
% 0.23/5.58  % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.23/5.58  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.23/5.58  % Starting new_bool_3 with 151s (1) cores
% 0.23/5.58  % Starting new_bool_1 with 146s (1) cores
% 0.23/5.58  % SubtermCWHack with pid 2982413 completed with status 1
% 0.23/5.58  % Result found by SubtermCWHack
% 0.23/5.58  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.23/5.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.58  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.23/5.58  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/5.58  % No SInE strategy applied
% 0.23/5.58  % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.23/5.58  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/5.58  % Starting SubtermCWHack with 151s (1) cores
% 0.23/5.58  % Preprocessing time       : 0.001 s
% 0.23/5.58  
% 0.23/5.58  % No proof found!
% 0.23/5.58  % SZS status Satisfiable
% 0.23/5.58  % SZS output start Saturation
% See solution above
% 0.23/5.58  % Parsed axioms                        : 64
% 0.23/5.58  % Removed by relevancy pruning/SinE    : 0
% 0.23/5.58  % Initial clauses                      : 64
% 0.23/5.58  % Removed in clause preprocessing      : 0
% 0.23/5.58  % Initial clauses in saturation        : 64
% 0.23/5.58  % Processed clauses                    : 614
% 0.23/5.58  % ...of these trivial                  : 8
% 0.23/5.58  % ...subsumed                          : 410
% 0.23/5.58  % ...remaining for further processing  : 196
% 0.23/5.58  % Other redundant clauses eliminated   : 0
% 0.23/5.58  % Clauses deleted for lack of memory   : 0
% 0.23/5.58  % Backward-subsumed                    : 6
% 0.23/5.58  % Backward-rewritten                   : 14
% 0.23/5.58  % Generated clauses                    : 1043
% 0.23/5.58  % ...of the previous two non-redundant : 559
% 0.23/5.58  % ...aggressively subsumed             : 0
% 0.23/5.58  % Contextual simplify-reflections      : 144
% 0.23/5.58  % Paramodulations                      : 1043
% 0.23/5.58  % Factorizations                       : 0
% 0.23/5.58  % NegExts                              : 0
% 0.23/5.58  % Equation resolutions                 : 0
% 0.23/5.58  % Disequality decompositions           : 0
% 0.23/5.58  % Total rewrite steps                  : 20
% 0.23/5.58  % ...of those cached                   : 19
% 0.23/5.58  % Propositional unsat checks           : 0
% 0.23/5.58  %    Propositional check models        : 0
% 0.23/5.58  %    Propositional check unsatisfiable : 0
% 0.23/5.58  %    Propositional clauses             : 0
% 0.23/5.58  %    Propositional clauses after purity: 0
% 0.23/5.58  %    Propositional unsat core size     : 0
% 0.23/5.58  %    Propositional preprocessing time  : 0.000
% 0.23/5.58  %    Propositional encoding time       : 0.000
% 0.23/5.58  %    Propositional solver time         : 0.000
% 0.23/5.58  %    Success case prop preproc time    : 0.000
% 0.23/5.58  %    Success case prop encoding time   : 0.000
% 0.23/5.58  %    Success case prop solver time     : 0.000
% 0.23/5.58  % Current number of processed clauses  : 176
% 0.23/5.58  %    Positive orientable unit clauses  : 1
% 0.23/5.58  %    Positive unorientable unit clauses: 0
% 0.23/5.58  %    Negative unit clauses             : 0
% 0.23/5.58  %    Non-unit-clauses                  : 175
% 0.23/5.58  % Current number of unprocessed clauses: 0
% 0.23/5.58  % ...number of literals in the above   : 0
% 0.23/5.58  % Current number of archived formulas  : 0
% 0.23/5.58  % Current number of archived clauses   : 20
% 0.23/5.58  % Clause-clause subsumption calls (NU) : 35474
% 0.23/5.58  % Rec. Clause-clause subsumption calls : 1106
% 0.23/5.58  % Non-unit clause-clause subsumptions  : 560
% 0.23/5.58  % Unit Clause-clause subsumption calls : 5
% 0.23/5.58  % Rewrite failures with RHS unbound    : 0
% 0.23/5.58  % BW rewrite match attempts            : 1
% 0.23/5.58  % BW rewrite match successes           : 1
% 0.23/5.58  % Condensation attempts                : 0
% 0.23/5.58  % Condensation successes               : 0
% 0.23/5.58  % Termbank termtop insertions          : 21458
% 0.23/5.58  % Search garbage collected termcells   : 135
% 0.23/5.58  
% 0.23/5.58  % -------------------------------------------------
% 0.23/5.58  % User time                : 0.040 s
% 0.23/5.58  % System time              : 0.005 s
% 0.23/5.58  % Total time               : 0.045 s
% 0.23/5.58  % Maximum resident set size: 3676 pages
% 0.23/5.58  
% 0.23/5.58  % -------------------------------------------------
% 0.23/5.58  % User time                : 0.199 s
% 0.23/5.58  % System time              : 0.014 s
% 0.23/5.58  % Total time               : 0.213 s
% 0.23/5.58  % Maximum resident set size: 4608 pages
% 0.23/5.58  % E exiting
%------------------------------------------------------------------------------