↑ Up

E---3.5.1.SAT-Sat.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN493-1 : 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 03:25:07 PM UTC 2026

% Result   : Satisfiable 1.11s 0.69s
% Output   : Saturation 1.11s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_54ERROR: Could not build tree for root c_0_113ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_49,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp6 ),
    clause12,
    [final] ).

cnf(c_0_55,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]),
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( ~ hskp2
    | c3_1(a43) ),
    c_0_56,
    [final] ).

cnf(c_0_69,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a43) ),
    c_0_57,
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | c0_1(X2)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_55])]),
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a43) ),
    c_0_59,
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp8
    | c3_1(a45) ),
    c_0_61,
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ hskp8
    | c2_1(a45) ),
    c_0_62,
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_55])]),
    [final] ).

cnf(c_0_82,negated_conjecture,
    ( ~ hskp7
    | c3_1(a44) ),
    c_0_64,
    [final] ).

cnf(c_0_83,negated_conjecture,
    ( ~ hskp7
    | c1_1(a44) ),
    c_0_65,
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp7
    | c0_1(a44) ),
    c_0_66,
    [final] ).

cnf(c_0_88,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a43)
    | hskp10
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_71]),
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( ~ hskp9
    | c3_1(a46) ),
    c_0_72,
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( ~ hskp9
    | c1_1(a46) ),
    c_0_73,
    [final] ).

cnf(c_0_91,negated_conjecture,
    ( ~ hskp9
    | c0_1(a46) ),
    c_0_74,
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( hskp5
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_55])]),
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( ~ hskp1
    | c3_1(a41) ),
    c_0_77,
    [final] ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a41) ),
    c_0_78,
    [final] ).

cnf(c_0_99,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c0_1(a45)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_79]),c_0_80]),
    [final] ).

cnf(c_0_100,negated_conjecture,
    ( ~ hskp7
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a41) ),
    c_0_85,
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_68]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( ~ hskp8
    | c1_1(a45) ),
    c_0_87,
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( ~ hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_89]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_108,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | hskp5
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_92]),
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | hskp3
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_55])]),
    [final] ).

cnf(c_0_110,negated_conjecture,
    ( ~ hskp6
    | c3_1(a42) ),
    c_0_94,
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a42) ),
    c_0_95,
    [final] ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp6
    | c2_1(a42) ),
    c_0_96,
    [final] ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | c1_1(X1)
    | c1_1(a41)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_97]),c_0_98]),
    [final] ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | hskp10
    | c0_1(a45)
    | c2_1(a44) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_82]),c_0_83]),
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp7
    | ~ hskp1
    | hskp8
    | c1_1(a41) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_100]),c_0_101]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c0_1(a45)
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | hskp10
    | c0_1(a45)
    | c2_1(a46) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_89]),c_0_90]),
    [final] ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp9
    | ~ hskp1
    | hskp8
    | c1_1(a41) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_105]),c_0_101]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | hskp5
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_92]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp3
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_110]),c_0_111]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_110]),c_0_112]),c_0_111]),
    [final] ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp2
    | ~ hskp1
    | ~ c1_1(a41)
    | ~ c2_1(a43)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_97]),c_0_98]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c1_1(a41)
    | hskp10
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_97]),c_0_98]),
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_55])]),
    [final] ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | hskp10
    | hskp3
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_114]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X1)
    | ~ c1_1(a42)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_112]),c_0_111]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a39) ),
    c_0_124,
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a39) ),
    c_0_126,
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a39) ),
    c_0_127,
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | c2_1(a46) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_89]),c_0_90]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp6
    | ~ hskp1
    | ~ c1_1(a41)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_97]),c_0_98]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c0_1(a45)
    | c1_1(a41) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_97]),c_0_101]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp7
    | ~ hskp1
    | hskp10
    | c1_1(a41)
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_97]),c_0_101]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ hskp1
    | ~ c1_1(a41)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_116]),c_0_134]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp9
    | ~ hskp1
    | hskp10
    | c1_1(a41)
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_97]),c_0_101]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp7
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_114]),c_0_100]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp3
    | c3_1(a48) ),
    c_0_138,
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a48) ),
    c_0_139,
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp7
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_100]),
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(a42)
    | ~ c0_1(a45)
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp0
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_55])]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp1
    | ~ c0_1(a45)
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_148,c_0_150]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | c2_1(a44) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_82]),c_0_83]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_118]),c_0_152]),c_0_90]),c_0_91]),c_0_153]),
    [final] ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ hskp1
    | ~ c0_1(a45)
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_154,c_0_150]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | ~ hskp1
    | hskp10
    | c0_1(a45) ),
    inference(spm,[status(thm)],[c_0_134,c_0_155]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_114]),c_0_156]),c_0_83]),c_0_84]),c_0_157]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ hskp1
    | hskp10
    | c0_1(a45) ),
    inference(spm,[status(thm)],[c_0_134,c_0_151]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_160]),c_0_161]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp0
    | ~ c0_1(a45)
    | hskp5
    | hskp3
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]),
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | hskp10
    | hskp3
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_118]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp9
    | ~ hskp0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_105]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_97]),c_0_148]),c_0_101]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ c1_1(a42)
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_147]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp6
    | hskp4
    | hskp0
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_112]),c_0_111]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp7
    | ~ hskp0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_100]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(a42)
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_170]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(X1)
    | ~ c2_1(a43)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_92]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_92]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_68]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | c2_1(a46) ),
    inference(spm,[status(thm)],[c_0_104,c_0_171]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | c2_1(a44) ),
    inference(spm,[status(thm)],[c_0_106,c_0_175]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_176]),c_0_177]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_114]),c_0_83]),c_0_84]),c_0_178]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp9
    | hskp8
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_100]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_170]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1) ),
    inference(ef,[status(thm)],[c_0_180]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(spm,[status(thm)],[c_0_181,c_0_92]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp3
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(ef,[status(thm)],[c_0_182]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_186]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp4
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_141]),c_0_189]),c_0_190]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp4
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_188]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_178]),c_0_116]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_116]),c_0_193]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_171]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_175]),
    [final] ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_90]),c_0_91]),c_0_196]),
    [final] ).

cnf(c_0_214,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_197]),c_0_83]),c_0_84]),c_0_198]),
    [final] ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_199]),c_0_200]),c_0_175]),
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_201]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_92]),
    [final] ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_178]),
    [final] ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_202]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp8
    | ~ hskp3
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp3
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_204]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_147]),c_0_90]),c_0_91]),c_0_186]),
    [final] ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_170]),c_0_83]),c_0_84]),c_0_190]),
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]),
    [final] ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_147]),c_0_90]),c_0_91]),c_0_186]),
    [final] ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_170]),c_0_83]),c_0_84]),c_0_190]),
    [final] ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_178]),c_0_99]),
    [final] ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_209]),c_0_123]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_197]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_210]),
    [final] ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ hskp0
    | hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_213]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_171]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ hskp0
    | hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_214]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_175]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_244,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_217]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp6
    | ~ hskp3
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_110]),c_0_111]),
    [final] ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_218]),c_0_123]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp3
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_68]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a40) ),
    c_0_219,
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp5
    | c1_1(a40) ),
    c_0_220,
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a40) ),
    c_0_221,
    [final] ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_199]),
    [final] ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp9
    | hskp8
    | hskp4
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_105]),c_0_185]),
    [final] ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp7
    | hskp8
    | hskp4
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_100]),c_0_189]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp9
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_118]),c_0_105]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp8
    | ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_222]),
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp8
    | ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_222]),c_0_224]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp4
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_202]),c_0_222]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_147]),c_0_90]),c_0_91]),c_0_186]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_170]),c_0_83]),c_0_84]),c_0_190]),
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_204]),c_0_224]),
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_118]),c_0_105]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp9
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_184]),c_0_105]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_114]),c_0_100]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_229]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_230]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_178]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | hskp5
    | hskp1
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_92]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_233]),c_0_215]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_199]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_80]),c_0_103]),c_0_172]),
    [final] ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_195]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_197]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_197]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_170]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ hskp0
    | ~ c0_1(a45)
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_243]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(a44) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_82]),c_0_83]),
    [final] ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c1_1(X1)
    | ~ c1_1(a41)
    | ~ c2_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_97]),c_0_98]),
    [final] ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_147]),c_0_90]),c_0_91]),c_0_186]),
    [final] ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_80]),c_0_103]),c_0_167]),
    [final] ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_170]),c_0_83]),c_0_84]),c_0_190]),
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_147]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_170]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp3
    | ~ c0_1(a45)
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | ~ hskp2
    | hskp10
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_195]),c_0_90]),c_0_91]),
    [final] ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ hskp2
    | hskp10
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_197]),c_0_83]),c_0_84]),
    [final] ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp8
    | ~ hskp3
    | ~ hskp2
    | ~ c0_1(a45)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_80]),c_0_103]),
    [final] ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp3
    | ~ hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(a41)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_97]),c_0_101]),
    [final] ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp8
    | ~ hskp5
    | ~ hskp2
    | ~ c0_1(a45)
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_209]),c_0_249]),c_0_250]),
    [final] ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp7
    | ~ hskp5
    | ~ hskp2
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_215]),c_0_249]),c_0_250]),
    [final] ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ hskp5
    | hskp10
    | hskp9
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_251]),c_0_249]),c_0_250]),
    [final] ).

cnf(c_0_304,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp5
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_216]),c_0_249]),c_0_250]),
    [final] ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c0_1(a45)
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_116]),c_0_69]),c_0_71]),
    [final] ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp5
    | ~ c0_1(a45)
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_218]),c_0_249]),c_0_250]),
    [final] ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp8
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_185,c_0_206]),
    [final] ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp8
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_189,c_0_208]),
    [final] ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c0_1(a45)
    | hskp4
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_163,c_0_188]),
    [final] ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_252]),c_0_71]),
    [final] ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_253]),c_0_71]),
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a38) ),
    c_0_254,
    [final] ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a38) ),
    c_0_255,
    [final] ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a47) ),
    c_0_256,
    [final] ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp4
    | c2_1(a38) ),
    c_0_257,
    [final] ).

cnf(c_0_316,negated_conjecture,
    ( ~ hskp3
    | c0_1(a48) ),
    c_0_258,
    [final] ).

cnf(c_0_317,negated_conjecture,
    ( ~ hskp10
    | c1_1(a47) ),
    c_0_259,
    [final] ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp10
    | c3_1(a47) ),
    c_0_260,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN493-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.45  % Computer : n004.cluster.edu
% 0.21/0.45  % Model    : x86_64 x86_64
% 0.21/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45  % Memory   : 8046.5625MB
% 0.21/0.45  % OS       : Linux 6.8.0-71-generic
% 0.21/0.46  % CPULimit : 300
% 0.21/0.46  % WCLimit  : 300
% 0.21/0.46  % DateTime : Mon Sep 21 11:02:36 UTC 2026
% 0.21/0.46  % CPUTime  : 
% 0.21/0.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.52  Running first-order theorem proving
% 0.21/0.52  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
% 1.11/0.69  % Version: 3.5.1
% 1.11/0.69  % Preprocessing class: FSMSSLSMSSSNFFN.
% 1.11/0.69  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.69  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 1.11/0.69  % Starting new_bool_3 with 300s (1) cores
% 1.11/0.69  % Starting new_bool_1 with 300s (1) cores
% 1.11/0.69  % Starting sh5l with 300s (1) cores
% 1.11/0.69  % new_bool_1 with pid 2982821 completed with status 1
% 1.11/0.69  % Result found by new_bool_1
% 1.11/0.69  % Preprocessing class: FSMSSLSMSSSNFFN.
% 1.11/0.69  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.69  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 1.11/0.69  % Starting new_bool_3 with 300s (1) cores
% 1.11/0.69  % Starting new_bool_1 with 300s (1) cores
% 1.11/0.69  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.11/0.69  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.11/0.69  % Search class: FGHNF-FFMF00-SFFFFFNN
% 1.11/0.69  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.11/0.69  % Starting SubtermCWHack with 31s (1) cores
% 1.11/0.69  % SubtermCWHack with pid 2982830 completed with status 1
% 1.11/0.69  % Result found by SubtermCWHack
% 1.11/0.69  % Preprocessing class: FSMSSLSMSSSNFFN.
% 1.11/0.69  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.69  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 1.11/0.69  % Starting new_bool_3 with 300s (1) cores
% 1.11/0.69  % Starting new_bool_1 with 300s (1) cores
% 1.11/0.69  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.11/0.69  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.11/0.69  % Search class: FGHNF-FFMF00-SFFFFFNN
% 1.11/0.69  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.11/0.69  % Starting SubtermCWHack with 31s (1) cores
% 1.11/0.69  % Preprocessing time       : 0.002 s
% 1.11/0.69  
% 1.11/0.69  % No proof found!
% 1.11/0.69  % SZS status Satisfiable
% 1.11/0.69  % SZS output start Saturation
% See solution above
% 1.11/0.70  % Parsed axioms                        : 52
% 1.11/0.70  % Removed by relevancy pruning/SinE    : 0
% 1.11/0.70  % Initial clauses                      : 52
% 1.11/0.70  % Removed in clause preprocessing      : 0
% 1.11/0.70  % Initial clauses in saturation        : 52
% 1.11/0.70  % Processed clauses                    : 1006
% 1.11/0.70  % ...of these trivial                  : 7
% 1.11/0.70  % ...subsumed                          : 730
% 1.11/0.70  % ...remaining for further processing  : 269
% 1.11/0.70  % Other redundant clauses eliminated   : 0
% 1.11/0.70  % Clauses deleted for lack of memory   : 0
% 1.11/0.70  % Backward-subsumed                    : 63
% 1.11/0.70  % Backward-rewritten                   : 11
% 1.11/0.70  % Generated clauses                    : 2135
% 1.11/0.70  % ...of the previous two non-redundant : 1119
% 1.11/0.70  % ...aggressively subsumed             : 0
% 1.11/0.70  % Contextual simplify-reflections      : 283
% 1.11/0.70  % Paramodulations                      : 2131
% 1.11/0.70  % Factorizations                       : 4
% 1.11/0.70  % NegExts                              : 0
% 1.11/0.70  % Equation resolutions                 : 0
% 1.11/0.70  % Disequality decompositions           : 0
% 1.11/0.70  % Total rewrite steps                  : 18
% 1.11/0.70  % ...of those cached                   : 17
% 1.11/0.70  % Propositional unsat checks           : 0
% 1.11/0.70  %    Propositional check models        : 0
% 1.11/0.70  %    Propositional check unsatisfiable : 0
% 1.11/0.70  %    Propositional clauses             : 0
% 1.11/0.70  %    Propositional clauses after purity: 0
% 1.11/0.70  %    Propositional unsat core size     : 0
% 1.11/0.70  %    Propositional preprocessing time  : 0.000
% 1.11/0.70  %    Propositional encoding time       : 0.000
% 1.11/0.70  %    Propositional solver time         : 0.000
% 1.11/0.70  %    Success case prop preproc time    : 0.000
% 1.11/0.70  %    Success case prop encoding time   : 0.000
% 1.11/0.70  %    Success case prop solver time     : 0.000
% 1.11/0.70  % Current number of processed clauses  : 195
% 1.11/0.70  %    Positive orientable unit clauses  : 1
% 1.11/0.70  %    Positive unorientable unit clauses: 0
% 1.11/0.70  %    Negative unit clauses             : 0
% 1.11/0.70  %    Non-unit-clauses                  : 194
% 1.11/0.70  % Current number of unprocessed clauses: 0
% 1.11/0.70  % ...number of literals in the above   : 0
% 1.11/0.70  % Current number of archived formulas  : 0
% 1.11/0.70  % Current number of archived clauses   : 74
% 1.11/0.70  % Clause-clause subsumption calls (NU) : 42846
% 1.11/0.70  % Rec. Clause-clause subsumption calls : 1414
% 1.11/0.70  % Non-unit clause-clause subsumptions  : 1076
% 1.11/0.70  % Unit Clause-clause subsumption calls : 3
% 1.11/0.70  % Rewrite failures with RHS unbound    : 0
% 1.11/0.70  % BW rewrite match attempts            : 1
% 1.11/0.70  % BW rewrite match successes           : 1
% 1.11/0.70  % Condensation attempts                : 0
% 1.11/0.70  % Condensation successes               : 0
% 1.11/0.70  % Termbank termtop insertions          : 41063
% 1.11/0.70  % Search garbage collected termcells   : 122
% 1.11/0.70  
% 1.11/0.70  % -------------------------------------------------
% 1.11/0.70  % User time                : 0.138 s
% 1.11/0.70  % System time              : 0.002 s
% 1.11/0.70  % Total time               : 0.140 s
% 1.11/0.70  % Maximum resident set size: 3668 pages
% 1.11/0.70  
% 1.11/0.70  % -------------------------------------------------
% 1.11/0.70  % User time                : 0.138 s
% 1.11/0.70  % System time              : 0.008 s
% 1.11/0.70  % Total time               : 0.146 s
% 1.11/0.70  % Maximum resident set size: 4864 pages
% 1.11/0.70  % E exiting
%------------------------------------------------------------------------------