%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : TOP052-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 05:54:19 EDT 2023

% Result   : Unsatisfiable 20.38s 20.47s
% Output   : CNFRefutation 20.38s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    product: ( $i * $i ) > $i ).

tff(decl_23,type,
    a2: $i ).

tff(decl_24,type,
    a1: $i ).

tff(decl_25,type,
    a42: $i ).

tff(decl_26,type,
    a3: $i ).

tff(decl_27,type,
    a41: $i ).

tff(decl_28,type,
    a4: $i ).

tff(decl_29,type,
    a14: $i ).

tff(decl_30,type,
    a5: $i ).

tff(decl_31,type,
    a39: $i ).

tff(decl_32,type,
    a6: $i ).

tff(decl_33,type,
    a136: $i ).

tff(decl_34,type,
    a7: $i ).

tff(decl_35,type,
    a52: $i ).

tff(decl_36,type,
    a8: $i ).

tff(decl_37,type,
    a17: $i ).

tff(decl_38,type,
    a9: $i ).

tff(decl_39,type,
    a56: $i ).

tff(decl_40,type,
    a10: $i ).

tff(decl_41,type,
    a134: $i ).

tff(decl_42,type,
    a11: $i ).

tff(decl_43,type,
    a37: $i ).

tff(decl_44,type,
    a12: $i ).

tff(decl_45,type,
    a21: $i ).

tff(decl_46,type,
    a13: $i ).

tff(decl_47,type,
    a23: $i ).

tff(decl_48,type,
    a32: $i ).

tff(decl_49,type,
    a15: $i ).

tff(decl_50,type,
    a53: $i ).

tff(decl_51,type,
    a16: $i ).

tff(decl_52,type,
    a29: $i ).

tff(decl_53,type,
    a18: $i ).

tff(decl_54,type,
    a133: $i ).

tff(decl_55,type,
    a19: $i ).

tff(decl_56,type,
    a58: $i ).

tff(decl_57,type,
    a20: $i ).

tff(decl_58,type,
    a26: $i ).

tff(decl_59,type,
    a35: $i ).

tff(decl_60,type,
    a22: $i ).

tff(decl_61,type,
    a141: $i ).

tff(decl_62,type,
    a45: $i ).

tff(decl_63,type,
    a24: $i ).

tff(decl_64,type,
    a25: $i ).

tff(decl_65,type,
    a49: $i ).

tff(decl_66,type,
    a138: $i ).

tff(decl_67,type,
    a27: $i ).

tff(decl_68,type,
    a28: $i ).

tff(decl_69,type,
    a30: $i ).

tff(decl_70,type,
    a31: $i ).

tff(decl_71,type,
    a33: $i ).

tff(decl_72,type,
    a34: $i ).

tff(decl_73,type,
    a131: $i ).

tff(decl_74,type,
    a60: $i ).

tff(decl_75,type,
    a36: $i ).

tff(decl_76,type,
    a139: $i ).

tff(decl_77,type,
    a47: $i ).

tff(decl_78,type,
    a38: $i ).

tff(decl_79,type,
    a40: $i ).

tff(decl_80,type,
    a43: $i ).

tff(decl_81,type,
    a62: $i ).

tff(decl_82,type,
    a44: $i ).

tff(decl_83,type,
    a128: $i ).

tff(decl_84,type,
    a46: $i ).

tff(decl_85,type,
    a48: $i ).

tff(decl_86,type,
    a50: $i ).

tff(decl_87,type,
    a51: $i ).

tff(decl_88,type,
    a59: $i ).

tff(decl_89,type,
    a54: $i ).

tff(decl_90,type,
    a55: $i ).

tff(decl_91,type,
    a135: $i ).

tff(decl_92,type,
    a57: $i ).

tff(decl_93,type,
    a61: $i ).

tff(decl_94,type,
    a63: $i ).

tff(decl_95,type,
    a96: $i ).

tff(decl_96,type,
    a64: $i ).

tff(decl_97,type,
    a127: $i ).

tff(decl_98,type,
    a65: $i ).

tff(decl_99,type,
    a66: $i ).

tff(decl_100,type,
    a67: $i ).

tff(decl_101,type,
    a92: $i ).

tff(decl_102,type,
    a68: $i ).

tff(decl_103,type,
    a98: $i ).

tff(decl_104,type,
    a69: $i ).

tff(decl_105,type,
    a70: $i ).

tff(decl_106,type,
    a71: $i ).

tff(decl_107,type,
    a118: $i ).

tff(decl_108,type,
    a72: $i ).

tff(decl_109,type,
    a109: $i ).

tff(decl_110,type,
    a73: $i ).

tff(decl_111,type,
    a82: $i ).

tff(decl_112,type,
    a74: $i ).

tff(decl_113,type,
    a75: $i ).

tff(decl_114,type,
    a76: $i ).

tff(decl_115,type,
    a77: $i ).

tff(decl_116,type,
    a114: $i ).

tff(decl_117,type,
    a78: $i ).

tff(decl_118,type,
    a79: $i ).

tff(decl_119,type,
    a80: $i ).

tff(decl_120,type,
    a119: $i ).

tff(decl_121,type,
    a81: $i ).

tff(decl_122,type,
    a83: $i ).

tff(decl_123,type,
    a84: $i ).

tff(decl_124,type,
    a85: $i ).

tff(decl_125,type,
    a86: $i ).

tff(decl_126,type,
    a87: $i ).

tff(decl_127,type,
    a104: $i ).

tff(decl_128,type,
    a88: $i ).

tff(decl_129,type,
    a89: $i ).

tff(decl_130,type,
    a90: $i ).

tff(decl_131,type,
    a91: $i ).

tff(decl_132,type,
    a100: $i ).

tff(decl_133,type,
    a124: $i ).

tff(decl_134,type,
    a93: $i ).

tff(decl_135,type,
    a94: $i ).

tff(decl_136,type,
    a95: $i ).

tff(decl_137,type,
    a97: $i ).

tff(decl_138,type,
    a99: $i ).

tff(decl_139,type,
    a101: $i ).

tff(decl_140,type,
    a102: $i ).

tff(decl_141,type,
    a103: $i ).

tff(decl_142,type,
    a105: $i ).

tff(decl_143,type,
    a106: $i ).

tff(decl_144,type,
    a107: $i ).

tff(decl_145,type,
    a108: $i ).

tff(decl_146,type,
    a110: $i ).

tff(decl_147,type,
    a111: $i ).

tff(decl_148,type,
    a112: $i ).

tff(decl_149,type,
    a113: $i ).

tff(decl_150,type,
    a115: $i ).

tff(decl_151,type,
    a116: $i ).

tff(decl_152,type,
    a117: $i ).

tff(decl_153,type,
    a120: $i ).

tff(decl_154,type,
    a121: $i ).

tff(decl_155,type,
    a122: $i ).

tff(decl_156,type,
    a123: $i ).

tff(decl_157,type,
    a125: $i ).

tff(decl_158,type,
    a126: $i ).

tff(decl_159,type,
    a129: $i ).

tff(decl_160,type,
    a130: $i ).

tff(decl_161,type,
    a132: $i ).

tff(decl_162,type,
    a137: $i ).

tff(decl_163,type,
    a140: $i ).

tff(decl_164,type,
    tuple: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

cnf(involutory_quandle_02,axiom,
    product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_02) ).

cnf(knot_121,axiom,
    a121 = product(a120,a32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_121) ).

cnf(involutory_quandle_01,axiom,
    product(product(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).

cnf(knot_120,axiom,
    a120 = product(a119,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_120) ).

cnf(knot_119,axiom,
    a119 = product(a118,a70),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_119) ).

cnf(knot_118,axiom,
    a118 = product(a117,a32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_118) ).

cnf(knot_14,axiom,
    a14 = product(a13,a32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_14) ).

cnf(knot_70,axiom,
    a70 = product(a69,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_70) ).

cnf(knot_69,axiom,
    a69 = product(a68,a32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_69) ).

cnf(knot_122,axiom,
    a122 = product(a121,a68),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_122) ).

cnf(knot_117,axiom,
    a117 = product(a116,a74),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_117) ).

cnf(knot_116,axiom,
    a116 = product(a115,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_116) ).

cnf(knot_75,axiom,
    a75 = product(a74,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_75) ).

cnf(knot_76,axiom,
    a76 = product(a75,a68),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_76) ).

cnf(knot_110,axiom,
    a110 = product(a109,a70),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_110) ).

cnf(knot_82,axiom,
    a82 = product(a81,a109),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_82) ).

cnf(knot_81,axiom,
    a81 = product(a80,a70),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_81) ).

cnf(knot_115,axiom,
    a115 = product(a114,a68),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_115) ).

cnf(knot_114,axiom,
    a114 = product(a113,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_114) ).

cnf(knot_113,axiom,
    a113 = product(a112,a33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_113) ).

cnf(knot_33,axiom,
    a33 = product(a32,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_33) ).

cnf(knot_78,axiom,
    a78 = product(a77,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_78) ).

cnf(knot_77,axiom,
    a77 = product(a76,a114),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_77) ).

cnf(knot_83,axiom,
    a83 = product(a82,a118),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_83) ).

cnf(involutory_quandle,axiom,
    product(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).

cnf(knot_79,axiom,
    a79 = product(a78,a33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_79) ).

cnf(knot_112,axiom,
    a112 = product(a111,a79),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_112) ).

cnf(knot_80,axiom,
    a80 = product(a79,a119),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_80) ).

cnf(knot_111,axiom,
    a111 = product(a110,a119),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_111) ).

cnf(knot_109,axiom,
    a109 = product(a108,a118),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_109) ).

cnf(knot_74,axiom,
    a74 = product(a73,a32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_74) ).

cnf(knot_71,axiom,
    a71 = product(a70,a118),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_71) ).

cnf(knot_73,axiom,
    a73 = product(a72,a82),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_73) ).

cnf(knot_72,axiom,
    a72 = product(a71,a109),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_72) ).

cnf(knot_124,axiom,
    a124 = product(a123,a75),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_124) ).

cnf(knot_123,axiom,
    a123 = product(a122,a115),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_123) ).

cnf(knot_31,axiom,
    a31 = product(a30,a5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_31) ).

cnf(knot_86,axiom,
    a86 = product(a85,a30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_86) ).

cnf(knot_85,axiom,
    a85 = product(a84,a5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_85) ).

cnf(knot_106,axiom,
    a106 = product(a105,a5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_106) ).

cnf(knot_105,axiom,
    a105 = product(a104,a30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_105) ).

cnf(knot_104,axiom,
    a104 = product(a103,a87),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_104) ).

cnf(knot_87,axiom,
    a87 = product(a86,a104),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_87) ).

cnf(knot_107,axiom,
    a107 = product(a106,a84),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_107) ).

cnf(knot_108,axiom,
    a108 = product(a107,a39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_108) ).

cnf(knot_84,axiom,
    a84 = product(a83,a39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_84) ).

cnf(knot_32,axiom,
    a32 = product(a31,a39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_32) ).

cnf(knot_05,axiom,
    a5 = product(a4,a39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).

cnf(knot_103,axiom,
    a103 = product(a102,a4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_103) ).

cnf(knot_100,axiom,
    a100 = product(a99,a124),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_100) ).

cnf(knot_40,axiom,
    a40 = product(a39,a4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_40) ).

cnf(knot_102,axiom,
    a102 = product(a101,a40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_102) ).

cnf(knot_101,axiom,
    a101 = product(a100,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_101) ).

cnf(knot_92,axiom,
    a92 = product(a91,a124),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_92) ).

cnf(knot_66,axiom,
    a66 = product(a65,a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_66) ).

cnf(knot_65,axiom,
    a65 = product(a64,a41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_65) ).

cnf(knot_42,axiom,
    a42 = product(a41,a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_42) ).

cnf(knot,axiom,
    a2 = product(a1,a42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).

cnf(knot_97,axiom,
    a97 = product(a96,a42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_97) ).

cnf(knot_96,axiom,
    a96 = product(a95,a64),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_96) ).

cnf(knot_88,axiom,
    a88 = product(a87,a4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_88) ).

cnf(knot_98,axiom,
    a98 = product(a97,a1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_98) ).

cnf(knot_03,axiom,
    a3 = product(a2,a41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).

cnf(knot_91,axiom,
    a91 = product(a90,a100),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_91) ).

cnf(knot_93,axiom,
    a93 = product(a92,a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_93) ).

cnf(knot_95,axiom,
    a95 = product(a94,a127),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_95) ).

cnf(knot_127,axiom,
    a127 = product(a126,a41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_127) ).

cnf(knot_94,axiom,
    a94 = product(a93,a41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_94) ).

cnf(knot_99,axiom,
    a99 = product(a98,a92),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_99) ).

cnf(knot_68,axiom,
    a68 = product(a67,a98),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_68) ).

cnf(knot_67,axiom,
    a67 = product(a66,a92),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_67) ).

cnf(knot_126,axiom,
    a126 = product(a125,a65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_126) ).

cnf(knot_125,axiom,
    a125 = product(a124,a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_125) ).

cnf(knot_89,axiom,
    a89 = product(a88,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_89) ).

cnf(knot_41,axiom,
    a41 = product(a40,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_41) ).

cnf(knot_90,axiom,
    a90 = product(a89,a41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_90) ).

cnf(goal,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a70,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a75,a76,a77,a113,a114,a78,a79,a80,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a80,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(knot_64,axiom,
    a64 = product(a63,a127),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_64) ).

cnf(knot_128,axiom,
    a128 = product(a127,a96),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_128) ).

cnf(knot_63,axiom,
    a63 = product(a62,a96),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_63) ).

cnf(knot_129,axiom,
    a129 = product(a128,a62),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_129) ).

cnf(knot_44,axiom,
    a44 = product(a43,a128),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_44) ).

cnf(knot_43,axiom,
    a43 = product(a42,a62),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_43) ).

cnf(knot_130,axiom,
    a130 = product(a129,a1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_130) ).

cnf(knot_62,axiom,
    a62 = product(a61,a1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_62) ).

cnf(knot_132,axiom,
    a132 = product(a131,a138),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_132) ).

cnf(knot_60,axiom,
    a60 = product(a59,a131),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_60) ).

cnf(knot_59,axiom,
    a59 = product(a58,a138),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_59) ).

cnf(knot_61,axiom,
    a61 = product(a60,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_61) ).

cnf(knot_34,axiom,
    a34 = product(a33,a131),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_34) ).

cnf(knot_131,axiom,
    a131 = product(a130,a13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_131) ).

cnf(knot_51,axiom,
    a51 = product(a50,a59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_51) ).

cnf(knot_50,axiom,
    a50 = product(a49,a131),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_50) ).

cnf(knot_35,axiom,
    a35 = product(a34,a60),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_35) ).

cnf(knot_133,axiom,
    a133 = product(a132,a58),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_133) ).

cnf(knot_19,axiom,
    a19 = product(a18,a58),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_19) ).

cnf(knot_18,axiom,
    a18 = product(a17,a133),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_18) ).

cnf(knot_56,axiom,
    a56 = product(a55,a37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_56) ).

cnf(knot_55,axiom,
    a55 = product(a54,a135),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_55) ).

cnf(knot_135,axiom,
    a135 = product(a134,a37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_135) ).

cnf(knot_58,axiom,
    a58 = product(a57,a26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_58) ).

cnf(knot_134,axiom,
    a134 = product(a133,a26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_134) ).

cnf(knot_57,axiom,
    a57 = product(a56,a134),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_57) ).

cnf(knot_136,axiom,
    a136 = product(a135,a29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_136) ).

cnf(knot_53,axiom,
    a53 = product(a52,a136),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_53) ).

cnf(knot_54,axiom,
    a54 = product(a53,a29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_54) ).

cnf(knot_10,axiom,
    a10 = product(a9,a134),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).

cnf(knot_52,axiom,
    a52 = product(a51,a39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_52) ).

cnf(knot_138,axiom,
    a138 = product(a137,a51),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_138) ).

cnf(knot_137,axiom,
    a137 = product(a136,a39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_137) ).

cnf(knot_49,axiom,
    a49 = product(a48,a138),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_49) ).

cnf(knot_15,axiom,
    a15 = product(a14,a53),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_15) ).

cnf(knot_09,axiom,
    a9 = product(a8,a56),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).

cnf(knot_16,axiom,
    a16 = product(a15,a136),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_16) ).

cnf(knot_06,axiom,
    a6 = product(a5,a136),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).

cnf(knot_139,axiom,
    a139 = product(a138,a20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_139) ).

cnf(knot_07,axiom,
    a7 = product(a6,a52),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).

cnf(knot_46,axiom,
    a46 = product(a45,a141),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_46) ).

cnf(knot_22,axiom,
    a22 = product(a21,a141),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_22) ).

cnf(knot_21,axiom,
    a21 = product(a20,a35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_21) ).

cnf(knot_48,axiom,
    a48 = product(a47,a20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_48) ).

cnf(knot_23,axiom,
    a23 = product(a22,a45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_23) ).

cnf(knot_47,axiom,
    a47 = product(a46,a11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_47) ).

cnf(knot_140,axiom,
    a140 = product(a139,a47),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_140) ).

cnf(knot_141,axiom,
    a141 = product(a140,a11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_141) ).

cnf(knot_04,axiom,
    a4 = product(a3,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).

cnf(knot_36,axiom,
    a36 = product(a35,a139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_36) ).

cnf(knot_37,axiom,
    a37 = product(a36,a47),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_37) ).

cnf(knot_24,axiom,
    a24 = product(a23,a35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_24) ).

cnf(knot_25,axiom,
    a25 = product(a24,a49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_25) ).

cnf(knot_45,axiom,
    a45 = product(a44,a23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_45) ).

cnf(knot_12,axiom,
    a12 = product(a11,a21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_12) ).

cnf(knot_142,axiom,
    a1 = product(a141,a23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_142) ).

cnf(knot_13,axiom,
    a13 = product(a12,a23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_13) ).

cnf(knot_26,axiom,
    a26 = product(a25,a138),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_26) ).

cnf(knot_39,axiom,
    a39 = product(a38,a7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_39) ).

cnf(knot_08,axiom,
    a8 = product(a7,a17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).

cnf(knot_38,axiom,
    a38 = product(a37,a17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_38) ).

cnf(knot_20,axiom,
    a20 = product(a19,a26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_20) ).

cnf(knot_11,axiom,
    a11 = product(a10,a37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).

cnf(knot_17,axiom,
    a17 = product(a16,a29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_17) ).

cnf(knot_29,axiom,
    a29 = product(a28,a17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_29) ).

cnf(knot_28,axiom,
    a28 = product(a27,a37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_28) ).

cnf(knot_27,axiom,
    a27 = product(a26,a8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_27) ).

cnf(knot_30,axiom,
    a30 = product(a29,a14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_30) ).

cnf(c_0_145,axiom,
    product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
    involutory_quandle_02 ).

cnf(c_0_146,axiom,
    a121 = product(a120,a32),
    knot_121 ).

cnf(c_0_147,axiom,
    product(product(X1,X2),X2) = X1,
    involutory_quandle_01 ).

cnf(c_0_148,axiom,
    a120 = product(a119,a13),
    knot_120 ).

cnf(c_0_149,axiom,
    a119 = product(a118,a70),
    knot_119 ).

cnf(c_0_150,axiom,
    a118 = product(a117,a32),
    knot_118 ).

cnf(c_0_151,plain,
    product(product(a120,X1),a32) = product(a121,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_152,plain,
    product(a120,a13) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_153,axiom,
    a14 = product(a13,a32),
    knot_14 ).

cnf(c_0_154,axiom,
    a70 = product(a69,a13),
    knot_70 ).

cnf(c_0_155,axiom,
    a69 = product(a68,a32),
    knot_69 ).

cnf(c_0_156,plain,
    product(product(a118,X1),product(a70,X1)) = product(a119,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_149]) ).

cnf(c_0_157,plain,
    product(a118,a32) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_150]) ).

cnf(c_0_158,plain,
    product(a119,a32) = product(a121,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).

cnf(c_0_159,plain,
    product(product(a69,X1),product(a13,X1)) = product(a70,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_154]) ).

cnf(c_0_160,plain,
    product(a69,a32) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_155]) ).

cnf(c_0_161,plain,
    product(a117,product(a70,a32)) = product(a121,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).

cnf(c_0_162,plain,
    product(a70,a32) = product(a68,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_153]),c_0_160]) ).

cnf(c_0_163,axiom,
    a122 = product(a121,a68),
    knot_122 ).

cnf(c_0_164,axiom,
    a117 = product(a116,a74),
    knot_117 ).

cnf(c_0_165,axiom,
    a116 = product(a115,a14),
    knot_116 ).

cnf(c_0_166,plain,
    product(a117,product(a68,a14)) = product(a121,a14),
    inference(rw,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_167,plain,
    product(product(a121,X1),product(a68,X1)) = product(a122,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_163]) ).

cnf(c_0_168,plain,
    product(product(a116,X1),product(a74,X1)) = product(a117,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_164]) ).

cnf(c_0_169,axiom,
    a75 = product(a74,a14),
    knot_75 ).

cnf(c_0_170,plain,
    product(a116,a14) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_165]) ).

cnf(c_0_171,plain,
    product(a122,a14) = a117,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_166]),c_0_167]) ).

cnf(c_0_172,axiom,
    a76 = product(a75,a68),
    knot_76 ).

cnf(c_0_173,plain,
    product(a115,a75) = product(a117,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).

cnf(c_0_174,plain,
    product(a117,a14) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_171]) ).

cnf(c_0_175,axiom,
    a110 = product(a109,a70),
    knot_110 ).

cnf(c_0_176,axiom,
    a82 = product(a81,a109),
    knot_82 ).

cnf(c_0_177,axiom,
    a81 = product(a80,a70),
    knot_81 ).

cnf(c_0_178,plain,
    product(product(X1,a75),a68) = product(product(X1,a76),product(a68,a76)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_172]),c_0_145]) ).

cnf(c_0_179,plain,
    product(a115,a75) = a122,
    inference(rw,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_180,plain,
    product(a122,a68) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_163]) ).

cnf(c_0_181,axiom,
    a115 = product(a114,a68),
    knot_115 ).

cnf(c_0_182,axiom,
    a114 = product(a113,a13),
    knot_114 ).

cnf(c_0_183,axiom,
    a113 = product(a112,a33),
    knot_113 ).

cnf(c_0_184,axiom,
    a33 = product(a32,a13),
    knot_33 ).

cnf(c_0_185,plain,
    product(product(X1,a109),a70) = product(product(X1,a110),product(a70,a110)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_175]),c_0_145]) ).

cnf(c_0_186,plain,
    product(a82,a109) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_176]) ).

cnf(c_0_187,plain,
    product(a81,a70) = a80,
    inference(spm,[status(thm)],[c_0_147,c_0_177]) ).

cnf(c_0_188,plain,
    product(a121,a32) = a120,
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_189,plain,
    product(product(product(X1,X2),X3),X2) = product(X1,product(X3,X2)),
    inference(spm,[status(thm)],[c_0_145,c_0_147]) ).

cnf(c_0_190,plain,
    product(product(a115,a76),product(a68,a76)) = a121,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).

cnf(c_0_191,plain,
    product(a115,a68) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_181]) ).

cnf(c_0_192,plain,
    product(product(a113,X1),a13) = product(a114,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_182]) ).

cnf(c_0_193,plain,
    product(a113,a33) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_183]) ).

cnf(c_0_194,plain,
    product(a33,a13) = a32,
    inference(spm,[status(thm)],[c_0_147,c_0_184]) ).

cnf(c_0_195,axiom,
    a78 = product(a77,a13),
    knot_78 ).

cnf(c_0_196,axiom,
    a77 = product(a76,a114),
    knot_77 ).

cnf(c_0_197,axiom,
    a83 = product(a82,a118),
    knot_83 ).

cnf(c_0_198,plain,
    product(product(a82,a110),product(a70,a110)) = a80,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]) ).

cnf(c_0_199,plain,
    product(product(a121,X1),a32) = product(a120,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_188]) ).

cnf(c_0_200,plain,
    product(a121,a76) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_147]),c_0_191]) ).

cnf(c_0_201,plain,
    product(a114,a32) = product(a112,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).

cnf(c_0_202,plain,
    product(product(X1,a32),a13) = product(product(X1,a33),product(a13,a33)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_184]),c_0_145]) ).

cnf(c_0_203,axiom,
    product(X1,X1) = X1,
    involutory_quandle ).

cnf(c_0_204,axiom,
    a79 = product(a78,a33),
    knot_79 ).

cnf(c_0_205,plain,
    product(product(a77,X1),a13) = product(a78,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_195]) ).

cnf(c_0_206,plain,
    product(a77,a114) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_196]) ).

cnf(c_0_207,plain,
    product(a114,a13) = a113,
    inference(spm,[status(thm)],[c_0_147,c_0_182]) ).

cnf(c_0_208,axiom,
    a112 = product(a111,a79),
    knot_112 ).

cnf(c_0_209,plain,
    product(product(a82,X1),product(a118,X1)) = product(a83,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_197]) ).

cnf(c_0_210,plain,
    product(a82,a70) = product(a80,a110),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_198]),c_0_147]) ).

cnf(c_0_211,axiom,
    a80 = product(a79,a119),
    knot_80 ).

cnf(c_0_212,plain,
    product(a120,product(a76,a32)) = product(a112,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).

cnf(c_0_213,plain,
    product(a13,a33) = product(a14,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_153]),c_0_203]) ).

cnf(c_0_214,plain,
    product(product(a78,X1),a33) = product(a79,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_204]) ).

cnf(c_0_215,plain,
    product(a78,a113) = product(a76,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).

cnf(c_0_216,plain,
    product(product(X1,X2),X1) = product(X1,product(X2,X1)),
    inference(spm,[status(thm)],[c_0_145,c_0_203]) ).

cnf(c_0_217,plain,
    product(a112,a79) = a111,
    inference(spm,[status(thm)],[c_0_147,c_0_208]) ).

cnf(c_0_218,plain,
    product(product(product(X1,X2),X3),product(X2,X3)) = product(X1,X3),
    inference(spm,[status(thm)],[c_0_147,c_0_145]) ).

cnf(c_0_219,plain,
    product(product(a80,a110),a119) = product(a83,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_149]),c_0_210]) ).

cnf(c_0_220,axiom,
    a111 = product(a110,a119),
    knot_111 ).

cnf(c_0_221,plain,
    product(a80,a119) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_211]) ).

cnf(c_0_222,plain,
    product(product(a112,a13),product(a76,a32)) = a120,
    inference(spm,[status(thm)],[c_0_147,c_0_212]) ).

cnf(c_0_223,plain,
    product(product(X1,a32),a13) = product(product(X1,a33),product(a14,a13)),
    inference(rw,[status(thm)],[c_0_202,c_0_213]) ).

cnf(c_0_224,plain,
    product(product(a76,a33),product(a14,a13)) = product(a79,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_193]),c_0_145]),c_0_213]) ).

cnf(c_0_225,plain,
    product(a112,product(a79,a112)) = product(a111,a112),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_226,plain,
    product(product(a83,a111),product(a70,a111)) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]),c_0_145]) ).

cnf(c_0_227,plain,
    product(a111,a112) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_222]),c_0_152]),c_0_223]),c_0_224]),c_0_225]) ).

cnf(c_0_228,plain,
    product(a111,product(a79,a111)) = product(a112,a111),
    inference(spm,[status(thm)],[c_0_216,c_0_208]) ).

cnf(c_0_229,plain,
    product(a79,a111) = product(a83,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_226]),c_0_147]) ).

cnf(c_0_230,plain,
    product(product(a110,X1),product(a119,X1)) = product(a111,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_220]) ).

cnf(c_0_231,plain,
    product(a119,a112) = a111,
    inference(spm,[status(thm)],[c_0_147,c_0_227]) ).

cnf(c_0_232,plain,
    product(a112,a111) = product(a111,product(a83,a70)),
    inference(rw,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_233,plain,
    product(product(a110,a111),product(a111,product(a83,a70))) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_227]),c_0_145]),c_0_232]) ).

cnf(c_0_234,plain,
    product(product(X1,a79),a119) = product(product(X1,a80),product(a119,a80)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_211]),c_0_145]) ).

cnf(c_0_235,plain,
    product(a111,a119) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_220]) ).

cnf(c_0_236,plain,
    product(a119,a111) = product(a110,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_233]),c_0_216]),c_0_145]),c_0_226]),c_0_208]) ).

cnf(c_0_237,plain,
    product(product(a112,a80),product(a119,a80)) = a110,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_217]),c_0_235]) ).

cnf(c_0_238,plain,
    product(product(a115,X1),a14) = product(a116,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_165]) ).

cnf(c_0_239,plain,
    product(product(a112,a32),a14) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_201]),c_0_145]),c_0_153]) ).

cnf(c_0_240,plain,
    product(product(a111,X1),a79) = product(a112,product(X1,a79)),
    inference(spm,[status(thm)],[c_0_145,c_0_208]) ).

cnf(c_0_241,plain,
    product(a111,product(a111,product(a83,a70))) = product(a110,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_227]),c_0_232]),c_0_236]) ).

cnf(c_0_242,plain,
    product(product(a83,a79),product(a70,a79)) = product(a79,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_229]),c_0_208]),c_0_145]) ).

cnf(c_0_243,plain,
    product(a112,a119) = product(a110,a80),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_237]),c_0_147]) ).

cnf(c_0_244,plain,
    product(a116,product(a68,a14)) = product(a114,a14),
    inference(spm,[status(thm)],[c_0_238,c_0_191]) ).

cnf(c_0_245,plain,
    product(a114,a14) = product(a112,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_239]) ).

cnf(c_0_246,axiom,
    a109 = product(a108,a118),
    knot_109 ).

cnf(c_0_247,plain,
    product(product(X1,a112),a79) = product(product(X1,a111),product(a83,a70)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_217]),c_0_145]),c_0_229]) ).

cnf(c_0_248,plain,
    product(product(a110,a112),a79) = product(a110,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_240]),c_0_145]),c_0_242]),c_0_225]),c_0_227]),c_0_243]) ).

cnf(c_0_249,axiom,
    a74 = product(a73,a32),
    knot_74 ).

cnf(c_0_250,plain,
    product(a116,product(a68,a14)) = product(a112,a32),
    inference(rw,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_251,plain,
    product(product(a109,X1),a70) = product(a110,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_175]) ).

cnf(c_0_252,plain,
    product(a109,a118) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_246]) ).

cnf(c_0_253,plain,
    product(product(a110,a112),product(a83,a70)) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_231]),c_0_208]),c_0_236]) ).

cnf(c_0_254,plain,
    product(product(a110,a80),a111) = product(a110,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_248]),c_0_217]) ).

cnf(c_0_255,plain,
    product(a74,a32) = a73,
    inference(spm,[status(thm)],[c_0_147,c_0_249]) ).

cnf(c_0_256,plain,
    product(product(a75,X1),product(a68,X1)) = product(a76,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_172]) ).

cnf(c_0_257,plain,
    product(a75,a14) = a74,
    inference(spm,[status(thm)],[c_0_147,c_0_169]) ).

cnf(c_0_258,plain,
    product(product(a117,X1),a32) = product(a118,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_150]) ).

cnf(c_0_259,plain,
    product(a117,a74) = a116,
    inference(spm,[status(thm)],[c_0_147,c_0_164]) ).

cnf(c_0_260,plain,
    product(product(a112,a32),product(a68,a14)) = a116,
    inference(spm,[status(thm)],[c_0_147,c_0_250]) ).

cnf(c_0_261,plain,
    product(product(a68,X1),a32) = product(a69,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_155]) ).

cnf(c_0_262,plain,
    product(a14,a32) = a13,
    inference(spm,[status(thm)],[c_0_147,c_0_153]) ).

cnf(c_0_263,plain,
    product(product(a80,X1),a70) = product(a81,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_177]) ).

cnf(c_0_264,plain,
    product(a119,a70) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_149]) ).

cnf(c_0_265,plain,
    product(a108,a70) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_149]),c_0_220]) ).

cnf(c_0_266,axiom,
    a71 = product(a70,a118),
    knot_71 ).

cnf(c_0_267,plain,
    product(product(a112,X1),a79) = product(a111,product(X1,a79)),
    inference(spm,[status(thm)],[c_0_145,c_0_217]) ).

cnf(c_0_268,plain,
    product(a112,product(a83,a70)) = product(a110,a112),
    inference(spm,[status(thm)],[c_0_147,c_0_253]) ).

cnf(c_0_269,plain,
    product(product(a110,a111),product(a83,a70)) = product(a110,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_254]),c_0_145]),c_0_229]) ).

cnf(c_0_270,plain,
    product(product(a74,X1),a32) = product(a73,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_255]) ).

cnf(c_0_271,plain,
    product(a74,product(a68,a14)) = product(a76,a14),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_272,plain,
    product(a118,a73) = product(a116,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_255]) ).

cnf(c_0_273,plain,
    product(a116,a32) = product(a112,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_260]),c_0_261]),c_0_262]),c_0_154]) ).

cnf(c_0_274,plain,
    product(product(a111,X1),product(a79,X1)) = product(a112,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_208]) ).

cnf(c_0_275,plain,
    product(a79,a70) = product(a81,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_221]),c_0_264]) ).

cnf(c_0_276,plain,
    product(a111,a70) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_265]) ).

cnf(c_0_277,plain,
    product(a71,a118) = a70,
    inference(spm,[status(thm)],[c_0_147,c_0_266]) ).

cnf(c_0_278,plain,
    product(a70,a119) = product(a71,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_266]),c_0_149]) ).

cnf(c_0_279,plain,
    product(a111,product(a79,a112)) = product(a110,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_247]),c_0_269]),c_0_145]),c_0_242]) ).

cnf(c_0_280,plain,
    product(a79,a112) = product(a73,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_261]),c_0_262]),c_0_154]),c_0_145]),c_0_262]),c_0_223]),c_0_224]) ).

cnf(c_0_281,plain,
    product(a110,a70) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_175]) ).

cnf(c_0_282,plain,
    product(a118,a73) = product(a112,a70),
    inference(rw,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_283,plain,
    product(a112,a70) = product(a108,product(a81,a118)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]) ).

cnf(c_0_284,axiom,
    a73 = product(a72,a82),
    knot_73 ).

cnf(c_0_285,axiom,
    a72 = product(a71,a109),
    knot_72 ).

cnf(c_0_286,plain,
    product(product(a79,X1),a119) = product(a80,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_211]) ).

cnf(c_0_287,plain,
    product(product(X1,a119),product(a71,a70)) = product(product(X1,a71),a118),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_277]),c_0_145]),c_0_149]),c_0_145]),c_0_278]) ).

cnf(c_0_288,plain,
    product(product(a111,X1),a70) = product(a108,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_276]) ).

cnf(c_0_289,plain,
    product(a111,product(a73,a70)) = product(a110,a80),
    inference(rw,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_290,plain,
    product(product(X1,a80),a70) = product(product(X1,a81),product(a70,a81)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_177]),c_0_145]) ).

cnf(c_0_291,plain,
    product(product(a110,X1),product(a70,X1)) = product(a109,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_281]) ).

cnf(c_0_292,plain,
    product(a118,a73) = product(a108,product(a81,a118)),
    inference(rw,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_293,plain,
    product(product(a108,X1),a118) = product(a109,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_246]) ).

cnf(c_0_294,plain,
    product(product(X1,a82),a109) = product(product(X1,a81),product(a109,a81)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_186]),c_0_145]) ).

cnf(c_0_295,plain,
    product(a73,a82) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_284]) ).

cnf(c_0_296,plain,
    product(a72,a109) = a71,
    inference(spm,[status(thm)],[c_0_147,c_0_285]) ).

cnf(c_0_297,plain,
    product(product(a118,X1),a70) = product(a119,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_149]) ).

cnf(c_0_298,plain,
    product(a119,product(a110,a80)) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_231]),c_0_235]),c_0_243]) ).

cnf(c_0_299,plain,
    product(product(a110,X1),a119) = product(a111,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_220]) ).

cnf(c_0_300,plain,
    product(product(a73,a71),a118) = product(a80,product(a110,a80)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_280]),c_0_243]),c_0_145]),c_0_278]),c_0_287]) ).

cnf(c_0_301,plain,
    product(a109,a81) = product(a108,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]),c_0_291]),c_0_147]) ).

cnf(c_0_302,plain,
    product(a118,product(a73,a118)) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_292]),c_0_293]),c_0_147]) ).

cnf(c_0_303,plain,
    product(product(a73,a81),product(a109,a81)) = a71,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).

cnf(c_0_304,plain,
    product(a119,product(a73,a70)) = a112,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_282]),c_0_147]) ).

cnf(c_0_305,plain,
    product(a110,product(a110,a80)) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_298]) ).

cnf(c_0_306,plain,
    product(a119,a110) = product(a111,product(a110,a80)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_236]),c_0_299]),c_0_243]),c_0_235]) ).

cnf(c_0_307,plain,
    product(a81,product(a108,a73)) = product(a73,a118),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_300]),c_0_277]),c_0_263]),c_0_290]),c_0_291]),c_0_301]) ).

cnf(c_0_308,plain,
    product(product(a109,a81),product(a73,a118)) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_302]) ).

cnf(c_0_309,plain,
    product(a71,product(a109,a81)) = product(a73,a81),
    inference(spm,[status(thm)],[c_0_147,c_0_303]) ).

cnf(c_0_310,plain,
    product(product(a110,a80),a112) = product(a111,product(a83,a70)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_243]),c_0_231]),c_0_232]) ).

cnf(c_0_311,plain,
    product(a112,product(a73,a70)) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_304]) ).

cnf(c_0_312,plain,
    product(a111,product(a110,a80)) = product(a110,product(a110,product(a80,a110))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_305]),c_0_216]),c_0_306]) ).

cnf(c_0_313,plain,
    product(product(a73,a118),product(a108,a73)) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_307]) ).

cnf(c_0_314,plain,
    product(product(a108,a73),product(a73,a118)) = a118,
    inference(rw,[status(thm)],[c_0_308,c_0_301]) ).

cnf(c_0_315,plain,
    product(product(a108,a73),a81) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_301]) ).

cnf(c_0_316,plain,
    product(a73,a81) = product(a71,product(a108,a73)),
    inference(rw,[status(thm)],[c_0_309,c_0_301]) ).

cnf(c_0_317,plain,
    product(product(a110,a79),product(a83,a70)) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_310]),c_0_240]),c_0_145]),c_0_242]),c_0_280]),c_0_311]),c_0_254]) ).

cnf(c_0_318,plain,
    product(product(a72,X1),a82) = product(a73,product(X1,a82)),
    inference(spm,[status(thm)],[c_0_145,c_0_284]) ).

cnf(c_0_319,plain,
    product(product(a119,X1),a70) = product(a118,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_264]) ).

cnf(c_0_320,plain,
    product(a119,a110) = product(a110,product(a110,product(a80,a110))),
    inference(rw,[status(thm)],[c_0_306,c_0_312]) ).

cnf(c_0_321,plain,
    product(product(a110,X1),a70) = product(a109,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_281]) ).

cnf(c_0_322,plain,
    product(a81,product(a73,a118)) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_313]),c_0_314]),c_0_147]) ).

cnf(c_0_323,plain,
    product(product(a71,product(a108,a73)),product(a118,a81)) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_307]),c_0_315]),c_0_176]),c_0_145]),c_0_316]) ).

cnf(c_0_324,plain,
    product(a119,product(a83,a70)) = product(a110,a79),
    inference(spm,[status(thm)],[c_0_147,c_0_317]) ).

cnf(c_0_325,plain,
    product(a73,product(a109,a82)) = product(a71,a82),
    inference(spm,[status(thm)],[c_0_318,c_0_296]) ).

cnf(c_0_326,plain,
    product(product(X1,a82),product(a109,a82)) = product(product(X1,a81),a109),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_176]),c_0_145]) ).

cnf(c_0_327,plain,
    product(a118,a109) = product(a109,product(a109,a82)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321]),c_0_321]),c_0_263]),c_0_281]),c_0_176]),c_0_281]) ).

cnf(c_0_328,plain,
    product(product(X1,a82),a109) = product(product(X1,a81),product(a108,a73)),
    inference(rw,[status(thm)],[c_0_294,c_0_301]) ).

cnf(c_0_329,plain,
    product(a81,a82) = product(a71,product(a108,a73)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_322]),c_0_316]),c_0_145]),c_0_316]),c_0_323]) ).

cnf(c_0_330,plain,
    product(product(a71,X1),a109) = product(a72,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_285]) ).

cnf(c_0_331,plain,
    product(product(a108,a73),a109) = product(a109,a82),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_301]),c_0_176]) ).

cnf(c_0_332,plain,
    product(a118,a83) = product(a109,product(a81,a118)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_324]),c_0_321]),c_0_275]),c_0_147]) ).

cnf(c_0_333,plain,
    product(product(a109,X1),a118) = product(a108,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_252]) ).

cnf(c_0_334,plain,
    product(a83,a118) = a82,
    inference(spm,[status(thm)],[c_0_147,c_0_197]) ).

cnf(c_0_335,plain,
    product(product(a71,a81),a109) = a73,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_325]),c_0_326]) ).

cnf(c_0_336,plain,
    product(product(a82,X1),product(a109,X1)) = product(a81,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_186]) ).

cnf(c_0_337,plain,
    product(a109,product(a109,a81)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_327]),c_0_216]),c_0_216]),c_0_186]) ).

cnf(c_0_338,plain,
    product(product(a82,X1),a118) = product(a83,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_197]) ).

cnf(c_0_339,plain,
    product(a81,product(a109,a81)) = product(a82,a81),
    inference(spm,[status(thm)],[c_0_216,c_0_176]) ).

cnf(c_0_340,plain,
    product(a72,product(a109,a82)) = product(a73,a118),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]),c_0_331]),c_0_203]),c_0_307]) ).

cnf(c_0_341,plain,
    product(product(a73,X1),a82) = product(a72,product(X1,a82)),
    inference(spm,[status(thm)],[c_0_145,c_0_295]) ).

cnf(c_0_342,plain,
    product(a118,a82) = product(a108,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_332]),c_0_333]),c_0_147]),c_0_334]) ).

cnf(c_0_343,plain,
    product(a73,a109) = product(a71,a81),
    inference(spm,[status(thm)],[c_0_147,c_0_335]) ).

cnf(c_0_344,plain,
    product(a82,a81) = product(a83,product(a108,product(a81,a118))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_333]),c_0_339]) ).

cnf(c_0_345,plain,
    product(a72,product(a108,a81)) = product(a71,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_340]),c_0_341]),c_0_342]),c_0_147]),c_0_343]) ).

cnf(c_0_346,plain,
    product(product(a108,a81),a82) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_342]) ).

cnf(c_0_347,plain,
    product(a81,product(a109,a81)) = product(a83,product(a108,product(a81,a118))),
    inference(rw,[status(thm)],[c_0_339,c_0_344]) ).

cnf(c_0_348,plain,
    product(product(a71,a81),a82) = product(a73,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_345]),c_0_346]) ).

cnf(c_0_349,plain,
    product(a83,product(a108,product(a81,a118))) = product(a81,product(a108,a73)),
    inference(rw,[status(thm)],[c_0_347,c_0_301]) ).

cnf(c_0_350,plain,
    product(product(a71,X1),a118) = product(a70,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_277]) ).

cnf(c_0_351,plain,
    product(a71,product(a73,a118)) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_348]),c_0_145]),c_0_316]),c_0_323]),c_0_344]),c_0_349]),c_0_307]) ).

cnf(c_0_352,plain,
    product(product(a70,X1),product(a118,X1)) = product(a71,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_266]) ).

cnf(c_0_353,plain,
    product(a70,a73) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_197]),c_0_147]) ).

cnf(c_0_354,plain,
    product(a73,a118) = product(a71,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_272]),c_0_273]),c_0_283]),c_0_349]),c_0_307]) ).

cnf(c_0_355,plain,
    product(a73,product(a73,a118)) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_322]) ).

cnf(c_0_356,plain,
    product(a70,product(a71,a73)) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_354]),c_0_350]),c_0_354]) ).

cnf(c_0_357,plain,
    product(a73,product(a71,a73)) = a81,
    inference(rw,[status(thm)],[c_0_355,c_0_354]) ).

cnf(c_0_358,plain,
    product(product(X1,a70),a118) = product(product(X1,a71),product(a118,a71)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_266]),c_0_145]) ).

cnf(c_0_359,axiom,
    a124 = product(a123,a75),
    knot_124 ).

cnf(c_0_360,axiom,
    a123 = product(a122,a115),
    knot_123 ).

cnf(c_0_361,plain,
    a70 = a81,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_356]),c_0_357]) ).

cnf(c_0_362,plain,
    product(a82,product(a118,a82)) = product(a83,a82),
    inference(spm,[status(thm)],[c_0_216,c_0_197]) ).

cnf(c_0_363,plain,
    product(a118,a71) = product(a119,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_149]),c_0_203]) ).

cnf(c_0_364,plain,
    product(product(a123,X1),a75) = product(a124,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_145,c_0_359]) ).

cnf(c_0_365,plain,
    product(a123,a115) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_360]) ).

cnf(c_0_366,plain,
    product(a108,a73) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_361]),c_0_301]) ).

cnf(c_0_367,plain,
    product(a118,a81) = a119,
    inference(rw,[status(thm)],[c_0_149,c_0_361]) ).

cnf(c_0_368,plain,
    product(a82,product(a108,a81)) = product(a83,a82),
    inference(rw,[status(thm)],[c_0_362,c_0_342]) ).

cnf(c_0_369,plain,
    product(a108,a81) = a111,
    inference(rw,[status(thm)],[c_0_265,c_0_361]) ).

cnf(c_0_370,plain,
    product(product(a71,a108),a73) = a81,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_354]),c_0_145]) ).

cnf(c_0_371,plain,
    product(a81,a73) = product(a73,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_357]),c_0_147]) ).

cnf(c_0_372,plain,
    product(product(X1,a70),a118) = product(product(X1,a71),product(a119,a118)),
    inference(rw,[status(thm)],[c_0_358,c_0_363]) ).

cnf(c_0_373,plain,
    product(a124,product(a115,a75)) = product(a122,a75),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_374,plain,
    product(product(a71,a110),a119) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_366]),c_0_367]) ).

cnf(c_0_375,plain,
    product(a82,a111) = product(a83,a82),
    inference(rw,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_376,plain,
    product(product(a81,X1),product(a109,X1)) = product(a82,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_176]) ).

cnf(c_0_377,plain,
    product(a109,product(a108,a73)) = a118,
    inference(rw,[status(thm)],[c_0_337,c_0_301]) ).

cnf(c_0_378,plain,
    product(a116,a32) = product(a108,product(a81,a118)),
    inference(rw,[status(thm)],[c_0_273,c_0_283]) ).

cnf(c_0_379,plain,
    product(a73,a71) = product(a71,a108),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_370]),c_0_371]) ).

cnf(c_0_380,plain,
    product(a118,product(a73,a118)) = product(a108,a73),
    inference(rw,[status(thm)],[c_0_302,c_0_301]) ).

cnf(c_0_381,plain,
    product(product(a110,a71),product(a119,a118)) = a108,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_281]),c_0_252]) ).

cnf(c_0_382,plain,
    product(product(a119,a71),product(a119,a118)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_363]),c_0_145]),c_0_363]) ).

cnf(c_0_383,plain,
    product(product(a119,X1),a13) = product(a120,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_148]) ).

cnf(c_0_384,plain,
    product(a70,a13) = a69,
    inference(spm,[status(thm)],[c_0_147,c_0_154]) ).

cnf(c_0_385,plain,
    product(a124,product(a117,a14)) = product(a122,a75),
    inference(rw,[status(thm)],[c_0_373,c_0_173]) ).

cnf(c_0_386,plain,
    product(product(a122,X1),product(a115,X1)) = product(a123,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_360]) ).

cnf(c_0_387,plain,
    product(a122,a75) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_179]) ).

cnf(c_0_388,plain,
    product(a83,a82) = product(a71,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_374]),c_0_220]),c_0_375]) ).

cnf(c_0_389,plain,
    product(a82,product(a108,a73)) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_307]),c_0_377]),c_0_147]) ).

cnf(c_0_390,plain,
    product(product(a108,a73),product(product(a81,a73),product(a108,product(a81,a118)))) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_378]),c_0_255]),c_0_150]),c_0_145]),c_0_145]),c_0_272]),c_0_273]),c_0_283]) ).

cnf(c_0_391,plain,
    product(a71,a108) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_361]),c_0_371]),c_0_379]) ).

cnf(c_0_392,plain,
    product(a118,product(a71,a73)) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_354]),c_0_366]) ).

cnf(c_0_393,plain,
    product(a110,a118) = product(a108,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_381]),c_0_145]),c_0_363]),c_0_382]) ).

cnf(c_0_394,plain,
    product(a81,product(a71,a73)) = a73,
    inference(rw,[status(thm)],[c_0_322,c_0_354]) ).

cnf(c_0_395,plain,
    product(a118,a13) = product(a120,a69),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_264]),c_0_384]) ).

cnf(c_0_396,plain,
    product(a124,a75) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_359]) ).

cnf(c_0_397,plain,
    product(a124,a122) = product(a122,a75),
    inference(rw,[status(thm)],[c_0_385,c_0_174]) ).

cnf(c_0_398,plain,
    product(a122,product(a115,a122)) = product(a123,a122),
    inference(spm,[status(thm)],[c_0_216,c_0_360]) ).

cnf(c_0_399,plain,
    product(a115,a122) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_173]),c_0_174]),c_0_359]) ).

cnf(c_0_400,plain,
    product(product(a123,X1),product(a75,X1)) = product(a124,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_359]) ).

cnf(c_0_401,plain,
    product(product(a76,X1),product(a114,X1)) = product(a77,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_196]) ).

cnf(c_0_402,plain,
    product(a76,a68) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_172]) ).

cnf(c_0_403,plain,
    product(product(X1,a111),a119) = product(product(X1,a110),product(a110,product(a110,product(a80,a110)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_235]),c_0_145]),c_0_306]),c_0_312]) ).

cnf(c_0_404,plain,
    product(a82,a111) = product(a71,a119),
    inference(rw,[status(thm)],[c_0_375,c_0_388]) ).

cnf(c_0_405,plain,
    product(a82,a110) = a73,
    inference(rw,[status(thm)],[c_0_389,c_0_366]) ).

cnf(c_0_406,plain,
    a80 = a81,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_361]),c_0_203]) ).

cnf(c_0_407,plain,
    product(a81,a110) = product(a71,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_354]),c_0_366]) ).

cnf(c_0_408,plain,
    product(a110,product(a71,a73)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_366]),c_0_371]),c_0_379]),c_0_391]),c_0_349]),c_0_307]),c_0_354]) ).

cnf(c_0_409,plain,
    product(a68,a14) = product(a81,a32),
    inference(rw,[status(thm)],[c_0_162,c_0_361]) ).

cnf(c_0_410,plain,
    product(a112,a81) = product(a108,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_392]),c_0_393]),c_0_350]),c_0_361]),c_0_354]),c_0_394]),c_0_272]),c_0_273]),c_0_361]) ).

cnf(c_0_411,plain,
    product(product(a69,X1),a32) = product(a68,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_160]) ).

cnf(c_0_412,plain,
    product(a69,product(a120,a69)) = product(a71,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_395]),c_0_384]) ).

cnf(c_0_413,plain,
    product(product(a124,X1),product(a75,X1)) = product(a123,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_396]) ).

cnf(c_0_414,plain,
    product(a124,a122) = a115,
    inference(rw,[status(thm)],[c_0_397,c_0_387]) ).

cnf(c_0_415,plain,
    product(a122,a124) = product(a123,a122),
    inference(rw,[status(thm)],[c_0_398,c_0_399]) ).

cnf(c_0_416,plain,
    product(product(X1,a122),a115) = product(product(X1,a123),product(a115,a123)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_360]),c_0_145]) ).

cnf(c_0_417,plain,
    product(a124,a115) = product(a122,product(a75,a115)),
    inference(spm,[status(thm)],[c_0_400,c_0_365]) ).

cnf(c_0_418,plain,
    product(a75,a115) = product(a77,a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_181]),c_0_402]) ).

cnf(c_0_419,plain,
    product(product(a73,X1),a32) = product(a74,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_249]) ).

cnf(c_0_420,plain,
    product(a73,product(a108,a71)) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_147]),c_0_405]),c_0_406]),c_0_407]),c_0_408]),c_0_393]) ).

cnf(c_0_421,plain,
    product(product(a108,a71),a32) = a116,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_409]),c_0_145]),c_0_410]) ).

cnf(c_0_422,plain,
    product(product(a71,a32),a14) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_151]),c_0_160]),c_0_163]),c_0_145]),c_0_153]) ).

cnf(c_0_423,plain,
    product(product(X1,a32),a14) = product(product(X1,a33),a13),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_194]),c_0_145]),c_0_153]) ).

cnf(c_0_424,plain,
    product(a115,product(a75,a122)) = product(a123,a122),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_425,plain,
    product(a122,product(a75,a122)) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_179]),c_0_216]),c_0_359]) ).

cnf(c_0_426,plain,
    product(a124,product(a123,a122)) = product(a115,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_414]),c_0_415]) ).

cnf(c_0_427,plain,
    product(product(a122,a123),product(a115,a123)) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_203]),c_0_360]) ).

cnf(c_0_428,plain,
    product(a124,a115) = product(a122,product(a77,a68)),
    inference(rw,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_429,plain,
    product(product(a74,X1),a14) = product(a75,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_169]) ).

cnf(c_0_430,plain,
    product(a74,a116) = product(a71,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]) ).

cnf(c_0_431,plain,
    product(product(a71,a33),a13) = product(a68,a122),
    inference(rw,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_432,plain,
    product(product(a122,X1),a115) = product(a123,product(X1,a115)),
    inference(spm,[status(thm)],[c_0_145,c_0_360]) ).

cnf(c_0_433,plain,
    product(a115,a124) = product(a123,product(a75,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_424]),c_0_425]),c_0_426]) ).

cnf(c_0_434,plain,
    product(a123,product(a115,a123)) = product(a122,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_427]) ).

cnf(c_0_435,plain,
    product(a115,a123) = product(a122,product(a77,a68)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_399]),c_0_428]),c_0_360]) ).

cnf(c_0_436,plain,
    product(a68,a122) = product(a77,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_423]),c_0_431]),c_0_170]),c_0_418]) ).

cnf(c_0_437,plain,
    product(a123,product(a68,a115)) = product(a121,a115),
    inference(spm,[status(thm)],[c_0_432,c_0_180]) ).

cnf(c_0_438,plain,
    product(product(X1,a115),product(a68,a115)) = product(product(X1,a114),a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_181]),c_0_145]) ).

cnf(c_0_439,plain,
    product(product(a115,X1),product(a68,X1)) = product(a114,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_191]) ).

cnf(c_0_440,plain,
    product(product(a124,X1),a75) = product(a123,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_145,c_0_396]) ).

cnf(c_0_441,plain,
    product(a124,product(a123,a122)) = product(a123,product(a75,a122)),
    inference(rw,[status(thm)],[c_0_426,c_0_433]) ).

cnf(c_0_442,plain,
    product(a123,product(a122,product(a77,a68))) = product(a122,a123),
    inference(rw,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_443,plain,
    product(product(a123,a122),product(a115,a122)) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_398]) ).

cnf(c_0_444,plain,
    product(a68,a121) = a77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_436]),c_0_147]),c_0_180]) ).

cnf(c_0_445,plain,
    product(product(a121,a114),a68) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_437]),c_0_438]) ).

cnf(c_0_446,plain,
    product(product(X1,a116),a74) = product(product(X1,a117),product(a74,a117)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_164]),c_0_145]) ).

cnf(c_0_447,plain,
    product(a124,product(a68,a122)) = product(a114,a122),
    inference(spm,[status(thm)],[c_0_439,c_0_399]) ).

cnf(c_0_448,plain,
    product(a124,product(a77,a68)) = product(a122,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_364]),c_0_216]),c_0_387]),c_0_418]),c_0_364]),c_0_387]),c_0_428]),c_0_442]) ).

cnf(c_0_449,plain,
    product(product(a123,a122),a124) = a122,
    inference(rw,[status(thm)],[c_0_443,c_0_399]) ).

cnf(c_0_450,plain,
    product(product(a77,X1),a114) = product(a76,product(X1,a114)),
    inference(spm,[status(thm)],[c_0_145,c_0_206]) ).

cnf(c_0_451,plain,
    product(a77,a121) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_444]) ).

cnf(c_0_452,plain,
    product(a121,a114) = product(a123,a68),
    inference(spm,[status(thm)],[c_0_147,c_0_445]) ).

cnf(c_0_453,plain,
    product(product(a116,a117),product(a74,a117)) = a117,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_203]),c_0_164]) ).

cnf(c_0_454,plain,
    product(a114,a122) = product(a122,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_436]),c_0_448]) ).

cnf(c_0_455,plain,
    product(a122,product(a123,a122)) = product(a123,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_449]),c_0_415]) ).

cnf(c_0_456,plain,
    product(a68,a114) = product(a76,product(a123,a68)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_451]),c_0_452]) ).

cnf(c_0_457,plain,
    product(product(a76,X1),a68) = product(a75,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_402]) ).

cnf(c_0_458,plain,
    product(product(a118,X1),a32) = product(a117,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_157]) ).

cnf(c_0_459,plain,
    product(a117,product(a74,a117)) = product(a116,a117),
    inference(spm,[status(thm)],[c_0_147,c_0_453]) ).

cnf(c_0_460,plain,
    product(a123,a124) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_454]),c_0_216]),c_0_455]) ).

cnf(c_0_461,plain,
    product(a124,a123) = product(a123,product(a75,a123)),
    inference(spm,[status(thm)],[c_0_216,c_0_359]) ).

cnf(c_0_462,plain,
    product(a68,a115) = product(a75,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_456]),c_0_457]),c_0_147]),c_0_181]) ).

cnf(c_0_463,plain,
    product(a81,a119) = a79,
    inference(rw,[status(thm)],[c_0_221,c_0_406]) ).

cnf(c_0_464,plain,
    product(a119,a81) = a118,
    inference(rw,[status(thm)],[c_0_264,c_0_361]) ).

cnf(c_0_465,plain,
    product(a81,a118) = a71,
    inference(rw,[status(thm)],[c_0_266,c_0_361]) ).

cnf(c_0_466,plain,
    product(product(a109,a81),a32) = product(a116,a117),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_302]),c_0_419]),c_0_157]),c_0_459]) ).

cnf(c_0_467,plain,
    product(product(a116,X1),a14) = product(a115,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_170]) ).

cnf(c_0_468,plain,
    product(product(X1,a75),a115) = product(product(X1,a122),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_387]) ).

cnf(c_0_469,plain,
    product(a114,a75) = product(a123,product(a75,a123)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_460]),c_0_396]),c_0_461]) ).

cnf(c_0_470,plain,
    product(product(a123,X1),a115) = product(a122,product(X1,a115)),
    inference(spm,[status(thm)],[c_0_145,c_0_365]) ).

cnf(c_0_471,plain,
    product(product(a75,a123),a115) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_462]) ).

cnf(c_0_472,plain,
    product(product(a122,X1),a75) = product(a115,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_189,c_0_179]) ).

cnf(c_0_473,plain,
    product(a79,a81) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_463]),c_0_464]),c_0_465]) ).

cnf(c_0_474,plain,
    product(product(product(a109,a81),a33),a13) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_466]),c_0_467]),c_0_174]),c_0_399]) ).

cnf(c_0_475,plain,
    product(a123,product(a75,a122)) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470]),c_0_471]),c_0_180]),c_0_454]),c_0_472]),c_0_359]),c_0_433]) ).

cnf(c_0_476,plain,
    product(a71,a81) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_473]) ).

cnf(c_0_477,plain,
    product(a118,product(a109,a81)) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_337]) ).

cnf(c_0_478,plain,
    product(product(a77,X1),product(a13,X1)) = product(a78,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_195]) ).

cnf(c_0_479,plain,
    product(product(a109,a81),a33) = product(a124,a13),
    inference(spm,[status(thm)],[c_0_147,c_0_474]) ).

cnf(c_0_480,plain,
    product(product(a123,X1),product(a115,X1)) = product(a122,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_365]) ).

cnf(c_0_481,plain,
    product(a115,a124) = a121,
    inference(rw,[status(thm)],[c_0_433,c_0_475]) ).

cnf(c_0_482,plain,
    product(a114,a121) = product(a121,product(a76,a121)),
    inference(spm,[status(thm)],[c_0_216,c_0_200]) ).

cnf(c_0_483,plain,
    product(a72,a111) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_369]),c_0_476]) ).

cnf(c_0_484,axiom,
    a31 = product(a30,a5),
    knot_31 ).

cnf(c_0_485,axiom,
    a86 = product(a85,a30),
    knot_86 ).

cnf(c_0_486,axiom,
    a85 = product(a84,a5),
    knot_85 ).

cnf(c_0_487,plain,
    product(product(a71,a81),a32) = product(a74,product(a109,a32)),
    inference(spm,[status(thm)],[c_0_419,c_0_343]) ).

cnf(c_0_488,plain,
    product(a109,a32) = product(a117,product(a116,a117)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_477]),c_0_466]) ).

cnf(c_0_489,plain,
    product(product(a77,a32),a14) = product(a78,a32),
    inference(spm,[status(thm)],[c_0_478,c_0_153]) ).

cnf(c_0_490,plain,
    product(a32,a14) = product(a33,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_184]),c_0_153]) ).

cnf(c_0_491,plain,
    product(product(a78,X1),product(a33,X1)) = product(a79,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_204]) ).

cnf(c_0_492,plain,
    product(product(a108,a73),a32) = product(a116,a117),
    inference(rw,[status(thm)],[c_0_466,c_0_301]) ).

cnf(c_0_493,plain,
    product(product(a108,a73),a33) = product(a124,a13),
    inference(rw,[status(thm)],[c_0_479,c_0_301]) ).

cnf(c_0_494,plain,
    product(product(a122,X1),a68) = product(a121,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_180]) ).

cnf(c_0_495,plain,
    product(product(a75,X1),a68) = product(a76,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_172]) ).

cnf(c_0_496,plain,
    product(a121,product(a76,a121)) = product(a123,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_460]),c_0_482]),c_0_415]) ).

cnf(c_0_497,plain,
    product(product(a123,a124),product(a123,a122)) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_455]) ).

cnf(c_0_498,plain,
    product(a121,product(a68,a121)) = product(a122,a121),
    inference(spm,[status(thm)],[c_0_216,c_0_163]) ).

cnf(c_0_499,plain,
    product(a83,a81) = a72,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_483]),c_0_229]),c_0_361]) ).

cnf(c_0_500,axiom,
    a106 = product(a105,a5),
    knot_106 ).

cnf(c_0_501,axiom,
    a105 = product(a104,a30),
    knot_105 ).

cnf(c_0_502,axiom,
    a104 = product(a103,a87),
    knot_104 ).

cnf(c_0_503,plain,
    product(product(X1,a30),a5) = product(product(X1,a31),product(a5,a31)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_484]),c_0_145]) ).

cnf(c_0_504,plain,
    product(a86,a30) = a85,
    inference(spm,[status(thm)],[c_0_147,c_0_485]) ).

cnf(c_0_505,plain,
    product(a85,a5) = a84,
    inference(spm,[status(thm)],[c_0_147,c_0_486]) ).

cnf(c_0_506,plain,
    product(product(a71,a81),a32) = product(a74,product(a117,product(a116,a117))),
    inference(rw,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_507,plain,
    product(a79,a32) = product(a77,a14),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_489]),c_0_490]),c_0_491]) ).

cnf(c_0_508,plain,
    product(a116,a117) = product(a110,a32),
    inference(rw,[status(thm)],[c_0_492,c_0_366]) ).

cnf(c_0_509,plain,
    product(a124,a13) = product(a110,a33),
    inference(rw,[status(thm)],[c_0_493,c_0_366]) ).

cnf(c_0_510,plain,
    product(a124,a68) = product(a121,product(a76,a121)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_425]),c_0_495]),c_0_180]) ).

cnf(c_0_511,plain,
    product(a122,product(a68,a122)) = product(a121,a122),
    inference(spm,[status(thm)],[c_0_216,c_0_180]) ).

cnf(c_0_512,plain,
    product(a114,a121) = product(a123,a122),
    inference(rw,[status(thm)],[c_0_482,c_0_496]) ).

cnf(c_0_513,plain,
    product(a122,product(a123,product(a75,a122))) = product(a123,product(a123,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_497]),c_0_426]),c_0_433]) ).

cnf(c_0_514,plain,
    product(a122,a121) = product(a121,a77),
    inference(rw,[status(thm)],[c_0_498,c_0_444]) ).

cnf(c_0_515,plain,
    product(product(a72,X1),product(a109,X1)) = product(a71,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_296]) ).

cnf(c_0_516,plain,
    product(a72,a81) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_499]) ).

cnf(c_0_517,plain,
    product(product(a105,X1),a5) = product(a106,product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_500]) ).

cnf(c_0_518,plain,
    product(a105,a30) = a104,
    inference(spm,[status(thm)],[c_0_147,c_0_501]) ).

cnf(c_0_519,axiom,
    a87 = product(a86,a104),
    knot_87 ).

cnf(c_0_520,plain,
    product(product(X1,a87),a104) = product(product(X1,a103),a87),
    inference(spm,[status(thm)],[c_0_145,c_0_502]) ).

cnf(c_0_521,plain,
    product(a104,a87) = a103,
    inference(spm,[status(thm)],[c_0_147,c_0_502]) ).

cnf(c_0_522,axiom,
    a107 = product(a106,a84),
    knot_107 ).

cnf(c_0_523,plain,
    product(product(a86,a31),product(a5,a31)) = a84,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_505]) ).

cnf(c_0_524,axiom,
    a108 = product(a107,a39),
    knot_108 ).

cnf(c_0_525,axiom,
    a84 = product(a83,a39),
    knot_84 ).

cnf(c_0_526,plain,
    product(a74,product(a117,product(a110,a32))) = product(a77,a14),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_506,c_0_476]),c_0_507]),c_0_508]) ).

cnf(c_0_527,plain,
    product(product(a117,X1),a14) = product(a122,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_189,c_0_171]) ).

cnf(c_0_528,plain,
    product(product(a110,a33),a13) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_509]) ).

cnf(c_0_529,plain,
    product(product(X1,a75),product(a68,a75)) = product(product(X1,a76),a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_402]),c_0_145]) ).

cnf(c_0_530,plain,
    product(a124,a68) = product(a123,a122),
    inference(rw,[status(thm)],[c_0_510,c_0_496]) ).

cnf(c_0_531,plain,
    product(a122,product(a77,a68)) = product(a121,a122),
    inference(rw,[status(thm)],[c_0_511,c_0_436]) ).

cnf(c_0_532,plain,
    product(product(a76,a121),product(a123,a122)) = a68,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_512]),c_0_451]) ).

cnf(c_0_533,plain,
    product(a121,product(a123,a122)) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_475]),c_0_424]),c_0_425]) ).

cnf(c_0_534,plain,
    product(product(a123,a121),product(a68,a121)) = product(a121,product(a121,product(a76,a121))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_452]),c_0_145]),c_0_482]) ).

cnf(c_0_535,plain,
    product(a121,a77) = product(a123,product(a123,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_513,c_0_475]),c_0_514]) ).

cnf(c_0_536,plain,
    product(product(a77,X1),product(a114,X1)) = product(a76,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_206]) ).

cnf(c_0_537,plain,
    product(a79,a33) = a78,
    inference(spm,[status(thm)],[c_0_147,c_0_204]) ).

cnf(c_0_538,plain,
    product(a83,a110) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_301]),c_0_366]),c_0_476]) ).

cnf(c_0_539,plain,
    product(a104,a5) = product(a106,a31),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_484]) ).

cnf(c_0_540,plain,
    product(a87,a104) = a86,
    inference(spm,[status(thm)],[c_0_147,c_0_519]) ).

cnf(c_0_541,plain,
    product(product(a104,a103),a87) = product(a103,a104),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_542,plain,
    product(product(a106,X1),product(a84,X1)) = product(a107,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_522]) ).

cnf(c_0_543,plain,
    product(a84,a31) = product(a86,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_523]),c_0_147]) ).

cnf(c_0_544,plain,
    product(a108,a39) = a107,
    inference(spm,[status(thm)],[c_0_147,c_0_524]) ).

cnf(c_0_545,plain,
    product(product(a83,X1),a39) = product(a84,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_525]) ).

cnf(c_0_546,plain,
    product(a83,a108) = product(a81,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_186]),c_0_252]) ).

cnf(c_0_547,plain,
    product(a107,a84) = a106,
    inference(spm,[status(thm)],[c_0_147,c_0_522]) ).

cnf(c_0_548,plain,
    product(a75,product(a123,a122)) = a77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_526]),c_0_147]),c_0_527]),c_0_423]),c_0_528]),c_0_415]) ).

cnf(c_0_549,plain,
    product(product(X1,a122),a68) = product(product(X1,a121),product(a68,a121)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_180]),c_0_145]) ).

cnf(c_0_550,plain,
    product(product(a124,a76),a68) = product(a123,product(a68,a75)),
    inference(spm,[status(thm)],[c_0_529,c_0_396]) ).

cnf(c_0_551,plain,
    product(a123,product(a68,a75)) = product(a121,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_530]),c_0_364]),c_0_387]),c_0_428]),c_0_531]) ).

cnf(c_0_552,plain,
    product(a123,product(a75,a123)) = product(a121,a115),
    inference(rw,[status(thm)],[c_0_437,c_0_462]) ).

cnf(c_0_553,plain,
    product(product(a123,a122),product(a76,a121)) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_496]) ).

cnf(c_0_554,plain,
    product(a68,a124) = product(a76,product(a123,a122)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_532]),c_0_533]) ).

cnf(c_0_555,plain,
    product(product(a123,a77),product(a123,product(a123,a122))) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_534,c_0_444]),c_0_145]),c_0_535]),c_0_496]),c_0_533]) ).

cnf(c_0_556,plain,
    product(a68,product(a123,a122)) = product(a76,a121),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_512]),c_0_451]) ).

cnf(c_0_557,plain,
    product(a78,a13) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_195]) ).

cnf(c_0_558,plain,
    product(product(a79,X1),a33) = product(a78,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_537]) ).

cnf(c_0_559,plain,
    product(a79,a110) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_538]) ).

cnf(c_0_560,plain,
    product(product(a104,X1),a5) = product(product(a106,a31),product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_539]) ).

cnf(c_0_561,plain,
    product(a104,a86) = product(a103,a104),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_216]),c_0_540]),c_0_541]) ).

cnf(c_0_562,plain,
    product(product(a106,a31),product(a86,a5)) = product(a107,a31),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_563,plain,
    product(product(a108,X1),a39) = product(a107,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_544]) ).

cnf(c_0_564,plain,
    product(a108,product(a108,product(a81,a118))) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_337]),c_0_203]),c_0_333]) ).

cnf(c_0_565,plain,
    product(product(a81,a118),a39) = product(a84,a107),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_544]) ).

cnf(c_0_566,plain,
    product(a107,product(a84,a107)) = product(a106,a107),
    inference(spm,[status(thm)],[c_0_216,c_0_547]) ).

cnf(c_0_567,axiom,
    a32 = product(a31,a39),
    knot_32 ).

cnf(c_0_568,plain,
    product(a77,product(a123,a122)) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_548]) ).

cnf(c_0_569,plain,
    product(a114,product(a123,a122)) = a122,
    inference(rw,[status(thm)],[c_0_497,c_0_460]) ).

cnf(c_0_570,plain,
    product(product(a124,a121),product(a68,a121)) = a114,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_414]),c_0_191]) ).

cnf(c_0_571,plain,
    product(a114,a76) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_200]) ).

cnf(c_0_572,plain,
    product(product(a124,a76),a68) = product(a121,a122),
    inference(rw,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_573,plain,
    product(product(a121,X1),a68) = product(a122,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_163]) ).

cnf(c_0_574,plain,
    product(product(a121,a123),product(a121,a122)) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_552]),c_0_147]),c_0_359]),c_0_145]),c_0_435]),c_0_531]) ).

cnf(c_0_575,plain,
    product(a68,product(a76,a121)) = a76,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_532]),c_0_553]),c_0_147]) ).

cnf(c_0_576,plain,
    product(a75,a124) = product(a76,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_554]),c_0_457]),c_0_549]),c_0_444]),c_0_145]),c_0_535]),c_0_555]),c_0_510]),c_0_496]),c_0_556]) ).

cnf(c_0_577,plain,
    product(product(a78,X1),a13) = product(a77,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_557]) ).

cnf(c_0_578,plain,
    product(a78,product(a110,a33)) = product(a83,a33),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_579,plain,
    product(product(a70,X1),a13) = product(a69,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_384]) ).

cnf(c_0_580,plain,
    product(a81,a73) = product(a71,a108),
    inference(rw,[status(thm)],[c_0_371,c_0_379]) ).

cnf(c_0_581,plain,
    product(product(a103,a104),a5) = product(a107,a31),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_561]),c_0_562]) ).

cnf(c_0_582,plain,
    product(product(a118,X1),product(a32,X1)) = product(a117,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_157]) ).

cnf(c_0_583,plain,
    product(a118,a39) = product(a107,product(a106,a107)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_563]),c_0_565]),c_0_566]) ).

cnf(c_0_584,plain,
    product(a32,a39) = a31,
    inference(spm,[status(thm)],[c_0_147,c_0_567]) ).

cnf(c_0_585,plain,
    product(a124,a123) = product(a121,a115),
    inference(rw,[status(thm)],[c_0_461,c_0_552]) ).

cnf(c_0_586,plain,
    product(a75,a122) = product(a76,product(a123,a122)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_568]),c_0_569]) ).

cnf(c_0_587,plain,
    product(a114,product(a68,a121)) = product(a124,a121),
    inference(spm,[status(thm)],[c_0_147,c_0_570]) ).

cnf(c_0_588,plain,
    product(a114,a77) = product(a123,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_571]),c_0_452]),c_0_196]) ).

cnf(c_0_589,plain,
    product(product(X1,a122),a115) = product(product(X1,a123),product(a122,product(a77,a68))),
    inference(rw,[status(thm)],[c_0_416,c_0_435]) ).

cnf(c_0_590,plain,
    product(a115,product(a77,a68)) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_179]),c_0_360]),c_0_418]) ).

cnf(c_0_591,plain,
    product(a123,product(a77,a68)) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_387]),c_0_203]),c_0_418]) ).

cnf(c_0_592,plain,
    product(a122,a123) = product(a121,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_475]),c_0_216]),c_0_387]),c_0_418]),c_0_448]) ).

cnf(c_0_593,plain,
    product(a115,a123) = product(a121,a122),
    inference(rw,[status(thm)],[c_0_435,c_0_531]) ).

cnf(c_0_594,plain,
    product(a124,a76) = product(a123,product(a123,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_572]),c_0_573]),c_0_180]),c_0_514]),c_0_535]) ).

cnf(c_0_595,plain,
    product(a124,product(a121,a122)) = product(a121,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_574]) ).

cnf(c_0_596,plain,
    product(product(a122,X1),product(a68,X1)) = product(a121,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_180]) ).

cnf(c_0_597,plain,
    product(a76,product(a76,a121)) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_575]) ).

cnf(c_0_598,plain,
    product(product(a76,a121),a124) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_576]) ).

cnf(c_0_599,plain,
    product(a121,a124) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_481]) ).

cnf(c_0_600,plain,
    product(product(a83,a33),a13) = product(a77,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_578]),c_0_528]) ).

cnf(c_0_601,plain,
    product(product(a81,X1),a13) = product(a69,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_579,c_0_361]) ).

cnf(c_0_602,plain,
    product(a81,a73) = a83,
    inference(rw,[status(thm)],[c_0_580,c_0_391]) ).

cnf(c_0_603,plain,
    product(product(a107,a31),product(a106,a31)) = product(a103,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_581]),c_0_539]) ).

cnf(c_0_604,plain,
    product(product(a107,a31),product(product(a106,a31),product(a107,a31))) = product(a117,a39),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_584]),c_0_145]),c_0_145]) ).

cnf(c_0_605,axiom,
    a5 = product(a4,a39),
    knot_05 ).

cnf(c_0_606,axiom,
    a103 = product(a102,a4),
    knot_103 ).

cnf(c_0_607,plain,
    product(product(a121,a115),a124) = product(a124,a114),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_585]),c_0_460]) ).

cnf(c_0_608,plain,
    product(a123,product(a76,product(a123,a122))) = a121,
    inference(rw,[status(thm)],[c_0_475,c_0_586]) ).

cnf(c_0_609,plain,
    product(a124,a121) = product(a123,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_587,c_0_444]),c_0_588]) ).

cnf(c_0_610,plain,
    product(product(X1,a122),a124) = product(product(X1,a123),a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_365]),c_0_145]),c_0_399]) ).

cnf(c_0_611,plain,
    product(product(X1,a122),a115) = product(product(X1,a123),product(a121,a122)),
    inference(rw,[status(thm)],[c_0_589,c_0_531]) ).

cnf(c_0_612,plain,
    product(a75,product(a121,a122)) = product(a77,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_548]),c_0_364]),c_0_387]),c_0_428]),c_0_531]) ).

cnf(c_0_613,plain,
    product(product(a121,a123),product(a121,a75)) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_531]),c_0_590]),c_0_591]),c_0_145]),c_0_592]) ).

cnf(c_0_614,plain,
    product(a121,a75) = product(a123,product(a121,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_593]),c_0_203]),c_0_592]) ).

cnf(c_0_615,plain,
    product(a121,a123) = product(a123,product(a76,a75)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_594]),c_0_364]),c_0_364]),c_0_387]),c_0_428]),c_0_531]),c_0_595]) ).

cnf(c_0_616,axiom,
    a100 = product(a99,a124),
    knot_100 ).

cnf(c_0_617,plain,
    product(a114,product(a76,a121)) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_556]),c_0_455]),c_0_460]),c_0_533]) ).

cnf(c_0_618,plain,
    product(a68,a76) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_597]),c_0_216]),c_0_200]),c_0_196]) ).

cnf(c_0_619,plain,
    product(a77,a68) = product(a76,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_598]),c_0_599]),c_0_418]) ).

cnf(c_0_620,plain,
    product(product(a77,a124),a32) = product(a83,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_600]),c_0_194]) ).

cnf(c_0_621,plain,
    product(a83,a13) = product(a69,product(a73,a13)),
    inference(spm,[status(thm)],[c_0_601,c_0_602]) ).

cnf(c_0_622,plain,
    product(product(a103,a5),product(a107,a31)) = product(a117,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_603]),c_0_604]) ).

cnf(c_0_623,plain,
    product(a5,a39) = a4,
    inference(spm,[status(thm)],[c_0_147,c_0_605]) ).

cnf(c_0_624,axiom,
    a40 = product(a39,a4),
    knot_40 ).

cnf(c_0_625,plain,
    product(a103,a4) = a102,
    inference(spm,[status(thm)],[c_0_147,c_0_606]) ).

cnf(c_0_626,axiom,
    a102 = product(a101,a40),
    knot_102 ).

cnf(c_0_627,plain,
    product(product(a109,X1),product(a118,X1)) = product(a108,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_252]) ).

cnf(c_0_628,plain,
    product(product(a123,a68),product(a123,a122)) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_607]),c_0_433]),c_0_586]),c_0_608]),c_0_599]),c_0_145]),c_0_609]),c_0_482]),c_0_496]) ).

cnf(c_0_629,plain,
    product(product(X1,a122),product(a68,a122)) = product(product(X1,a121),a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_163]),c_0_145]) ).

cnf(c_0_630,plain,
    product(product(a76,a123),product(a121,a122)) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_586]),c_0_471]),c_0_145]),c_0_610]),c_0_203]),c_0_365]),c_0_145]),c_0_414]),c_0_611]) ).

cnf(c_0_631,plain,
    product(a68,a123) = product(a77,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_471]),c_0_435]),c_0_531]),c_0_612]) ).

cnf(c_0_632,plain,
    product(product(a123,product(a76,a75)),product(a123,product(a121,a122))) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_614]),c_0_615]) ).

cnf(c_0_633,plain,
    product(a100,a124) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_616]) ).

cnf(c_0_634,plain,
    product(product(X1,X2),product(X2,product(X3,X2))) = product(product(X1,X3),product(X3,X2)),
    inference(spm,[status(thm)],[c_0_218,c_0_218]) ).

cnf(c_0_635,plain,
    product(a76,product(a123,a122)) = product(a77,product(a76,a121)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_597]),c_0_617]),c_0_554]) ).

cnf(c_0_636,plain,
    product(a68,a75) = product(a75,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_618]),c_0_457]),c_0_402]),c_0_619]) ).

cnf(c_0_637,plain,
    product(product(a77,a124),a32) = product(a69,product(a73,a13)),
    inference(rw,[status(thm)],[c_0_620,c_0_621]) ).

cnf(c_0_638,plain,
    product(a76,product(a114,a76)) = product(a77,a76),
    inference(spm,[status(thm)],[c_0_216,c_0_196]) ).

cnf(c_0_639,axiom,
    a101 = product(a100,a14),
    knot_101 ).

cnf(c_0_640,plain,
    product(product(a117,a39),product(a107,a31)) = product(a103,a5),
    inference(spm,[status(thm)],[c_0_147,c_0_622]) ).

cnf(c_0_641,plain,
    product(product(X1,a5),a39) = product(product(X1,a40),product(a4,a40)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_623]),c_0_145]),c_0_624]),c_0_145]) ).

cnf(c_0_642,plain,
    product(product(a103,X1),product(a4,X1)) = product(a102,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_625]) ).

cnf(c_0_643,plain,
    product(a102,a40) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_626]) ).

cnf(c_0_644,plain,
    product(product(a107,X1),a39) = product(a108,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_524]) ).

cnf(c_0_645,plain,
    product(a108,a32) = product(a117,a116),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_488]),c_0_157]),c_0_216]),c_0_147]) ).

cnf(c_0_646,plain,
    product(product(a115,X1),a122) = product(a124,product(X1,a122)),
    inference(spm,[status(thm)],[c_0_189,c_0_414]) ).

cnf(c_0_647,plain,
    product(a115,product(a123,a122)) = product(a123,a68),
    inference(spm,[status(thm)],[c_0_147,c_0_628]) ).

cnf(c_0_648,plain,
    product(product(X1,a122),product(a77,a68)) = product(product(X1,a121),a68),
    inference(rw,[status(thm)],[c_0_629,c_0_436]) ).

cnf(c_0_649,plain,
    product(a77,a75) = product(a76,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_630]),c_0_631]),c_0_145]),c_0_615]),c_0_592]),c_0_614]),c_0_632]) ).

cnf(c_0_650,plain,
    product(product(a75,a76),product(a68,a76)) = a76,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_203]),c_0_172]) ).

cnf(c_0_651,plain,
    product(product(a100,X1),a124) = product(a99,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_633]) ).

cnf(c_0_652,plain,
    product(product(X1,a115),a124) = product(product(X1,a123),a122),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_365]),c_0_399]) ).

cnf(c_0_653,plain,
    product(a123,product(a77,product(a76,a121))) = a121,
    inference(rw,[status(thm)],[c_0_608,c_0_635]) ).

cnf(c_0_654,plain,
    product(a122,product(a76,a124)) = product(a121,a122),
    inference(rw,[status(thm)],[c_0_531,c_0_619]) ).

cnf(c_0_655,plain,
    product(a123,product(a75,product(a76,a124))) = product(a121,a122),
    inference(rw,[status(thm)],[c_0_551,c_0_636]) ).

cnf(c_0_656,plain,
    product(a75,product(a76,a124)) = product(a77,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_637]),c_0_411]),c_0_419]),c_0_153]),c_0_169]),c_0_636]) ).

cnf(c_0_657,plain,
    product(a77,a76) = product(a76,a121),
    inference(rw,[status(thm)],[c_0_638,c_0_571]) ).

cnf(c_0_658,plain,
    product(a101,a14) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_639]) ).

cnf(c_0_659,plain,
    product(a117,product(a117,a116)) = a101,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_640]),c_0_641]),c_0_642]),c_0_643]),c_0_644]),c_0_567]),c_0_645]) ).

cnf(c_0_660,plain,
    product(product(X1,a77),product(a114,a77)) = product(product(X1,a76),a114),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_196]),c_0_145]) ).

cnf(c_0_661,plain,
    product(a114,a75) = product(a121,a115),
    inference(rw,[status(thm)],[c_0_469,c_0_552]) ).

cnf(c_0_662,plain,
    product(a121,product(a68,a76)) = product(a115,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_190]) ).

cnf(c_0_663,plain,
    product(product(a123,a121),a68) = product(a121,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_147]),c_0_461]),c_0_552]),c_0_145]),c_0_436]),c_0_648]) ).

cnf(c_0_664,plain,
    product(product(a76,a122),product(a76,product(a123,a122))) = a77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_649]),c_0_145]),c_0_173]),c_0_174]),c_0_145]),c_0_586]) ).

cnf(c_0_665,plain,
    product(product(a76,a123),product(a123,product(a121,a122))) = a75,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_586]),c_0_145]),c_0_147]),c_0_145]),c_0_592]),c_0_614]) ).

cnf(c_0_666,plain,
    product(a76,product(a68,a76)) = product(a75,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_650]) ).

cnf(c_0_667,plain,
    product(product(a100,a123),a122) = product(a99,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_433]),c_0_586]),c_0_635]),c_0_653]) ).

cnf(c_0_668,plain,
    product(product(X1,a115),product(a121,a122)) = product(product(X1,a123),product(a123,product(a121,a122))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_414]),c_0_360]),c_0_145]),c_0_428]),c_0_619]),c_0_654]),c_0_145]),c_0_592]),c_0_614]) ).

cnf(c_0_669,plain,
    product(a121,a122) = product(a123,product(a77,a124)),
    inference(rw,[status(thm)],[c_0_655,c_0_656]) ).

cnf(c_0_670,plain,
    product(product(X1,a121),product(a123,a122)) = product(product(X1,a76),product(a76,a121)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_206]),c_0_571]),c_0_145]),c_0_482]),c_0_496]),c_0_145]),c_0_657]) ).

cnf(c_0_671,plain,
    product(product(a101,X1),a14) = product(a100,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_658]) ).

cnf(c_0_672,plain,
    product(a101,product(a117,a116)) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_659]) ).

cnf(c_0_673,plain,
    product(product(a77,a76),a114) = product(a77,product(a114,a77)),
    inference(spm,[status(thm)],[c_0_660,c_0_203]) ).

cnf(c_0_674,plain,
    product(a77,product(a114,a77)) = product(a76,a77),
    inference(spm,[status(thm)],[c_0_216,c_0_206]) ).

cnf(c_0_675,plain,
    product(a115,a76) = product(a122,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_661]),c_0_573]),c_0_191]),c_0_571]),c_0_662]) ).

cnf(c_0_676,plain,
    product(a122,a114) = product(a123,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_663]),c_0_573]),c_0_191]) ).

cnf(c_0_677,plain,
    product(product(a76,X1),product(a68,X1)) = product(a75,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_402]) ).

cnf(c_0_678,plain,
    product(a68,a77) = product(a77,product(a121,a77)),
    inference(spm,[status(thm)],[c_0_216,c_0_451]) ).

cnf(c_0_679,plain,
    product(product(X1,a122),a68) = product(product(X1,a77),product(a123,product(a123,a122))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_444]),c_0_145]),c_0_535]) ).

cnf(c_0_680,plain,
    product(a77,a122) = product(a76,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_664]),c_0_145]),c_0_147]),c_0_145]),c_0_592]),c_0_614]),c_0_665]) ).

cnf(c_0_681,plain,
    product(a75,a76) = product(a76,product(a76,a77)),
    inference(rw,[status(thm)],[c_0_666,c_0_618]) ).

cnf(c_0_682,plain,
    product(product(a99,a121),a122) = product(a100,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_667]) ).

cnf(c_0_683,plain,
    product(product(X1,a121),a122) = product(product(X1,a77),a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_451]),c_0_163]) ).

cnf(c_0_684,plain,
    product(product(X1,a115),product(a123,product(a77,a124))) = product(product(X1,a123),product(a123,product(a123,product(a77,a124)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_669]),c_0_669]) ).

cnf(c_0_685,plain,
    product(a75,a123) = product(a76,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_665]),c_0_216]),c_0_145]),c_0_615]),c_0_592]),c_0_614]),c_0_632]),c_0_365]) ).

cnf(c_0_686,plain,
    product(product(a99,a76),product(a76,a121)) = product(a100,a122),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_667]),c_0_670]) ).

cnf(c_0_687,plain,
    product(product(X1,X2),product(X2,product(X1,X2))) = product(X1,product(X1,X2)),
    inference(spm,[status(thm)],[c_0_218,c_0_203]) ).

cnf(c_0_688,plain,
    product(a100,a123) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_672]),c_0_174]),c_0_527]),c_0_170]),c_0_360]) ).

cnf(c_0_689,plain,
    product(a114,product(a68,a76)) = product(a122,a76),
    inference(spm,[status(thm)],[c_0_167,c_0_200]) ).

cnf(c_0_690,plain,
    product(product(a77,a76),a114) = product(a76,a77),
    inference(rw,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_691,plain,
    product(product(a76,X1),a114) = product(a77,product(X1,a114)),
    inference(spm,[status(thm)],[c_0_145,c_0_196]) ).

cnf(c_0_692,plain,
    product(a115,a76) = product(a123,a121),
    inference(rw,[status(thm)],[c_0_675,c_0_676]) ).

cnf(c_0_693,plain,
    product(a75,product(a76,a121)) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_597]),c_0_575]),c_0_618]) ).

cnf(c_0_694,plain,
    product(product(a76,a77),product(a121,a77)) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_657]),c_0_145]) ).

cnf(c_0_695,plain,
    product(a68,a77) = product(a77,product(a123,product(a123,a122))),
    inference(rw,[status(thm)],[c_0_678,c_0_535]) ).

cnf(c_0_696,plain,
    product(a77,product(a123,product(a123,a122))) = product(a76,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_680]),c_0_178]),c_0_203]),c_0_666]),c_0_203]),c_0_681]) ).

cnf(c_0_697,plain,
    product(product(a99,a77),a68) = product(a100,a123),
    inference(rw,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_698,plain,
    product(product(X1,a121),a124) = product(product(X1,a123),product(a123,product(a123,product(a77,a124)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_599]),c_0_145]),c_0_428]),c_0_619]),c_0_654]),c_0_669]),c_0_684]) ).

cnf(c_0_699,plain,
    product(product(X1,a75),product(a75,product(a76,a124))) = product(product(X1,a76),a68),
    inference(rw,[status(thm)],[c_0_529,c_0_636]) ).

cnf(c_0_700,plain,
    product(a121,a115) = product(a123,product(a76,a122)),
    inference(rw,[status(thm)],[c_0_552,c_0_685]) ).

cnf(c_0_701,plain,
    product(product(a100,a122),product(a76,a121)) = product(a99,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_686]) ).

cnf(c_0_702,plain,
    product(a100,a122) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_688]),c_0_455]),c_0_460]) ).

cnf(c_0_703,axiom,
    a92 = product(a91,a124),
    knot_92 ).

cnf(c_0_704,plain,
    product(a122,a76) = product(a121,product(a123,a68)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_592]),c_0_178]),c_0_200]),c_0_689]) ).

cnf(c_0_705,plain,
    product(product(X1,a121),product(a123,a68)) = product(product(X1,a123),a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_481]),c_0_145]),c_0_609]),c_0_652]) ).

cnf(c_0_706,plain,
    product(a77,product(a123,a68)) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_690,c_0_657]),c_0_691]),c_0_452]) ).

cnf(c_0_707,plain,
    product(product(a123,a121),a114) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_676]) ).

cnf(c_0_708,plain,
    product(product(X1,a121),a114) = product(product(X1,a76),a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_200]),c_0_196]) ).

cnf(c_0_709,plain,
    product(product(a123,a76),a114) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_692]),c_0_145]),c_0_200]) ).

cnf(c_0_710,plain,
    product(product(a76,a77),product(a76,a121)) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_693]) ).

cnf(c_0_711,plain,
    product(product(a76,a77),product(a123,product(a123,a122))) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[c_0_694,c_0_535]) ).

cnf(c_0_712,plain,
    product(product(X1,a77),a114) = product(product(X1,a76),a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_206]),c_0_145]),c_0_571]) ).

cnf(c_0_713,plain,
    product(a68,a77) = product(a76,product(a76,a77)),
    inference(rw,[status(thm)],[c_0_695,c_0_696]) ).

cnf(c_0_714,plain,
    product(product(product(X1,X2),X3),product(X3,product(X2,X3))) = product(X1,product(X2,X3)),
    inference(spm,[status(thm)],[c_0_218,c_0_145]) ).

cnf(c_0_715,plain,
    product(product(a100,a123),product(a76,a124)) = product(a99,a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_697]),c_0_619]) ).

cnf(c_0_716,plain,
    product(a123,product(a76,a124)) = a115,
    inference(rw,[status(thm)],[c_0_591,c_0_619]) ).

cnf(c_0_717,plain,
    product(product(a76,a123),product(a123,product(a123,product(a77,a124)))) = a75,
    inference(rw,[status(thm)],[c_0_598,c_0_698]) ).

cnf(c_0_718,plain,
    product(product(X1,a75),product(a77,a124)) = product(product(X1,a76),a68),
    inference(rw,[status(thm)],[c_0_699,c_0_656]) ).

cnf(c_0_719,plain,
    product(product(a77,a124),a68) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_656]),c_0_457]),c_0_510]),c_0_496]),c_0_548]) ).

cnf(c_0_720,plain,
    product(product(a123,a121),a68) = product(a123,product(a76,a122)),
    inference(rw,[status(thm)],[c_0_663,c_0_700]) ).

cnf(c_0_721,plain,
    product(product(X1,a121),a68) = product(product(X1,a77),a121),
    inference(spm,[status(thm)],[c_0_145,c_0_451]) ).

cnf(c_0_722,plain,
    product(product(a99,X1),a124) = product(a100,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_616]) ).

cnf(c_0_723,plain,
    product(a99,a76) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_701,c_0_702]),c_0_617]) ).

cnf(c_0_724,plain,
    product(a124,product(a77,a68)) = product(a123,product(a121,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_592]),c_0_614]) ).

cnf(c_0_725,plain,
    product(product(a91,X1),a124) = product(a92,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_703]) ).

cnf(c_0_726,plain,
    product(a114,product(a68,a76)) = product(a121,product(a123,a68)),
    inference(rw,[status(thm)],[c_0_689,c_0_704]) ).

cnf(c_0_727,plain,
    product(product(a76,a123),a115) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_444]),c_0_706]),c_0_631]),c_0_649]),c_0_145]),c_0_399]),c_0_610]) ).

cnf(c_0_728,plain,
    product(product(a123,a76),a77) = a122,
    inference(rw,[status(thm)],[c_0_707,c_0_708]) ).

cnf(c_0_729,plain,
    product(a115,a77) = product(a123,a114),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_709]),c_0_196]) ).

cnf(c_0_730,plain,
    product(a75,a77) = product(a76,product(a77,product(a76,a77))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_710]),c_0_145]),c_0_535]),c_0_711]) ).

cnf(c_0_731,plain,
    product(product(a76,a77),a121) = product(a77,product(a76,a121)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_713]),c_0_691]),c_0_691]),c_0_206]),c_0_657]),c_0_618]) ).

cnf(c_0_732,plain,
    product(product(a99,a76),a68) = product(a100,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_715]),c_0_716]),c_0_145]),c_0_428]),c_0_619]),c_0_654]),c_0_669]),c_0_684]),c_0_717]),c_0_716]),c_0_145]),c_0_636]),c_0_656]),c_0_718]) ).

cnf(c_0_733,plain,
    product(product(X1,a122),product(a76,a124)) = product(product(X1,a121),a68),
    inference(rw,[status(thm)],[c_0_648,c_0_619]) ).

cnf(c_0_734,plain,
    product(product(a76,a77),product(a123,a122)) = product(a76,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_719]),c_0_510]),c_0_496]),c_0_619]) ).

cnf(c_0_735,plain,
    product(product(a77,a123),a122) = product(a68,product(a123,a68)),
    inference(spm,[status(thm)],[c_0_705,c_0_451]) ).

cnf(c_0_736,plain,
    product(product(a123,a77),a121) = product(a123,product(a76,a122)),
    inference(rw,[status(thm)],[c_0_720,c_0_721]) ).

cnf(c_0_737,plain,
    product(a114,a122) = product(a121,a75),
    inference(rw,[status(thm)],[c_0_454,c_0_592]) ).

cnf(c_0_738,plain,
    product(a123,a122) = product(a99,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_688]),c_0_415]),c_0_460]) ).

cnf(c_0_739,plain,
    product(a123,product(a77,a124)) = product(a99,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_715,c_0_688]),c_0_654]),c_0_669]) ).

cnf(c_0_740,plain,
    product(a100,product(a76,a124)) = a124,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_723]),c_0_203]) ).

cnf(c_0_741,plain,
    product(a124,product(a76,a124)) = product(a123,product(a121,a122)),
    inference(rw,[status(thm)],[c_0_724,c_0_619]) ).

cnf(c_0_742,plain,
    product(product(a91,a123),a122) = product(a92,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_652]),c_0_433]),c_0_586]),c_0_635]),c_0_653]) ).

cnf(c_0_743,axiom,
    a66 = product(a65,a2),
    knot_66 ).

cnf(c_0_744,axiom,
    a65 = product(a64,a41),
    knot_65 ).

cnf(c_0_745,plain,
    product(a75,product(a121,a122)) = product(a76,a115),
    inference(rw,[status(thm)],[c_0_612,c_0_649]) ).

cnf(c_0_746,plain,
    product(a124,product(a76,a121)) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_556]),c_0_533]),c_0_455]),c_0_460]) ).

cnf(c_0_747,plain,
    product(a114,product(a76,a77)) = product(a121,product(a123,a68)),
    inference(rw,[status(thm)],[c_0_726,c_0_618]) ).

cnf(c_0_748,plain,
    product(product(a76,a122),a75) = product(a75,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_685]),c_0_359]) ).

cnf(c_0_749,plain,
    product(product(X1,a75),a124) = product(product(X1,a123),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_359]) ).

cnf(c_0_750,plain,
    product(product(a114,X1),product(a68,X1)) = product(a115,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_181]) ).

cnf(c_0_751,plain,
    product(product(a77,a122),product(a77,a68)) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_436]),c_0_145]),c_0_436]) ).

cnf(c_0_752,plain,
    product(product(a76,a77),a122) = product(a76,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_727]),c_0_365]) ).

cnf(c_0_753,plain,
    product(a122,a77) = product(a123,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_728]) ).

cnf(c_0_754,plain,
    product(product(a76,a77),product(a123,a114)) = product(a77,product(a76,product(a77,product(a76,a77)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_649]),c_0_145]),c_0_729]),c_0_730]) ).

cnf(c_0_755,plain,
    product(product(a76,a121),product(a77,product(a76,a121))) = product(a76,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_730]),c_0_691]),c_0_450]),c_0_691]),c_0_206]),c_0_657]),c_0_597]),c_0_619]),c_0_681]),c_0_145]),c_0_731]) ).

cnf(c_0_756,plain,
    product(product(a100,a122),product(a77,product(a76,a121))) = product(a99,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_732]),c_0_402]),c_0_145]),c_0_173]),c_0_174]),c_0_145]),c_0_586]),c_0_635]) ).

cnf(c_0_757,plain,
    product(product(X1,a122),product(a76,a124)) = product(product(X1,a77),a121),
    inference(rw,[status(thm)],[c_0_733,c_0_721]) ).

cnf(c_0_758,plain,
    product(product(a100,a123),a68) = product(a99,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_697]) ).

cnf(c_0_759,plain,
    product(product(a76,a124),product(a123,a122)) = product(a76,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_734]) ).

cnf(c_0_760,plain,
    product(product(a76,a124),product(a123,product(a76,a122))) = product(a77,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_735]),c_0_145]),c_0_436]),c_0_619]),c_0_145]),c_0_436]),c_0_619]),c_0_733]),c_0_721]),c_0_736]) ).

cnf(c_0_761,plain,
    product(a114,a122) = product(a123,product(a121,a122)),
    inference(rw,[status(thm)],[c_0_737,c_0_614]) ).

cnf(c_0_762,plain,
    product(product(product(X1,X2),X3),X4) = product(product(product(X1,X3),X4),product(product(X2,X3),X4)),
    inference(spm,[status(thm)],[c_0_145,c_0_145]) ).

cnf(c_0_763,plain,
    product(product(a99,a122),product(a123,product(a99,a68))) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_738]),c_0_145]),c_0_454]),c_0_592]),c_0_614]),c_0_669]),c_0_739]) ).

cnf(c_0_764,plain,
    product(a123,product(a99,a68)) = a100,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_740]),c_0_741]),c_0_669]),c_0_739]) ).

cnf(c_0_765,plain,
    product(product(a92,a121),a122) = product(a91,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_742]) ).

cnf(c_0_766,plain,
    product(product(a65,X1),a2) = product(a66,product(X1,a2)),
    inference(spm,[status(thm)],[c_0_145,c_0_743]) ).

cnf(c_0_767,plain,
    product(a65,a41) = a64,
    inference(spm,[status(thm)],[c_0_147,c_0_744]) ).

cnf(c_0_768,axiom,
    a42 = product(a41,a2),
    knot_42 ).

cnf(c_0_769,axiom,
    a2 = product(a1,a42),
    knot ).

cnf(c_0_770,plain,
    product(a75,product(a123,product(a77,a124))) = product(a76,a115),
    inference(rw,[status(thm)],[c_0_745,c_0_669]) ).

cnf(c_0_771,plain,
    product(a121,product(a123,a68)) = product(a123,product(a76,a121)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_693]),c_0_746]),c_0_747]) ).

cnf(c_0_772,plain,
    product(product(a76,a122),a75) = product(a76,a121),
    inference(rw,[status(thm)],[c_0_748,c_0_576]) ).

cnf(c_0_773,plain,
    product(product(product(X1,a123),a75),product(a76,a121)) = product(X1,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_147]),c_0_145]),c_0_685]),c_0_145]),c_0_748]),c_0_576]) ).

cnf(c_0_774,plain,
    product(a115,product(a76,a121)) = product(a123,product(a123,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_575]),c_0_617]),c_0_594]) ).

cnf(c_0_775,plain,
    product(a121,a75) = product(a123,product(a123,product(a77,a124))),
    inference(rw,[status(thm)],[c_0_614,c_0_669]) ).

cnf(c_0_776,plain,
    product(a68,product(a77,a68)) = product(a77,a122),
    inference(spm,[status(thm)],[c_0_147,c_0_751]) ).

cnf(c_0_777,plain,
    product(product(X1,a115),product(a75,a123)) = product(product(X1,a114),a68),
    inference(rw,[status(thm)],[c_0_438,c_0_462]) ).

cnf(c_0_778,plain,
    product(a76,product(a123,a76)) = product(a77,product(a76,product(a77,product(a76,a77)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_752]),c_0_753]),c_0_145]),c_0_729]),c_0_754]) ).

cnf(c_0_779,plain,
    product(a68,a115) = product(a76,a122),
    inference(rw,[status(thm)],[c_0_462,c_0_685]) ).

cnf(c_0_780,plain,
    product(product(product(X1,a77),a121),product(a76,a124)) = product(X1,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_721]),c_0_163]),c_0_145]),c_0_678]),c_0_535]),c_0_696]),c_0_145]),c_0_145]),c_0_731]),c_0_755]) ).

cnf(c_0_781,plain,
    product(product(a99,a77),a121) = product(a100,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_756]),c_0_145]),c_0_680]),c_0_683]),c_0_457]),c_0_619]),c_0_656]),c_0_718]),c_0_203]),c_0_402]),c_0_145]),c_0_436]),c_0_619]),c_0_757]) ).

cnf(c_0_782,plain,
    product(a99,a77) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_758,c_0_688]),c_0_180]) ).

cnf(c_0_783,plain,
    product(product(a76,a77),product(a76,a124)) = product(a77,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_759]),c_0_733]),c_0_721]),c_0_736]),c_0_760]) ).

cnf(c_0_784,plain,
    product(a122,a123) = product(a123,product(a121,a122)),
    inference(rw,[status(thm)],[c_0_592,c_0_614]) ).

cnf(c_0_785,plain,
    product(a114,a122) = product(a123,product(a123,product(a77,a124))),
    inference(rw,[status(thm)],[c_0_761,c_0_669]) ).

cnf(c_0_786,plain,
    product(product(product(product(X1,X2),X3),X4),product(X4,product(product(X2,X3),X4))) = product(product(X1,X3),product(product(X2,X3),X4)),
    inference(spm,[status(thm)],[c_0_218,c_0_762]) ).

cnf(c_0_787,plain,
    product(product(a99,a122),a100) = a123,
    inference(rw,[status(thm)],[c_0_763,c_0_764]) ).

cnf(c_0_788,plain,
    product(a82,a81) = product(a81,product(a108,a73)),
    inference(rw,[status(thm)],[c_0_344,c_0_349]) ).

cnf(c_0_789,plain,
    product(product(a92,a77),a68) = product(a91,a123),
    inference(rw,[status(thm)],[c_0_765,c_0_683]) ).

cnf(c_0_790,plain,
    product(a64,a2) = product(a66,a42),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_767]),c_0_768]) ).

cnf(c_0_791,plain,
    product(product(X1,a42),a2) = product(product(X1,a1),a42),
    inference(spm,[status(thm)],[c_0_145,c_0_769]) ).

cnf(c_0_792,plain,
    product(a75,product(a99,a68)) = product(a76,a115),
    inference(rw,[status(thm)],[c_0_770,c_0_739]) ).

cnf(c_0_793,plain,
    product(a122,a76) = product(a123,product(a76,a121)),
    inference(rw,[status(thm)],[c_0_704,c_0_771]) ).

cnf(c_0_794,plain,
    product(product(a76,a121),a115) = product(a76,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_772]),c_0_147]) ).

cnf(c_0_795,plain,
    product(a121,a122) = product(a99,a68),
    inference(rw,[status(thm)],[c_0_669,c_0_739]) ).

cnf(c_0_796,plain,
    product(a99,a121) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_667,c_0_688]),c_0_203]) ).

cnf(c_0_797,plain,
    product(a123,product(a99,a114)) = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_773,c_0_688]),c_0_387]),c_0_774]),c_0_633]),c_0_738]) ).

cnf(c_0_798,plain,
    product(product(a68,X1),product(a121,X1)) = product(a77,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_444]) ).

cnf(c_0_799,plain,
    product(a121,a75) = a100,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_775,c_0_739]),c_0_764]) ).

cnf(c_0_800,plain,
    product(product(X1,a100),product(a124,a100)) = product(product(X1,a99),a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_616]),c_0_145]) ).

cnf(c_0_801,plain,
    product(product(a77,X1),a121) = product(a68,product(X1,a121)),
    inference(spm,[status(thm)],[c_0_189,c_0_444]) ).

cnf(c_0_802,plain,
    product(product(a99,a68),product(a76,a124)) = product(a100,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_715]) ).

cnf(c_0_803,plain,
    product(a68,product(a77,a68)) = product(a76,a75),
    inference(rw,[status(thm)],[c_0_776,c_0_680]) ).

cnf(c_0_804,plain,
    product(a121,product(a68,a76)) = product(a122,a114),
    inference(rw,[status(thm)],[c_0_662,c_0_675]) ).

cnf(c_0_805,plain,
    product(product(X1,a115),product(a76,a122)) = product(product(X1,a114),a68),
    inference(rw,[status(thm)],[c_0_777,c_0_685]) ).

cnf(c_0_806,plain,
    product(a77,a115) = product(a76,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_778]),c_0_450]),c_0_691]),c_0_450]),c_0_691]),c_0_206]),c_0_657]),c_0_597]),c_0_619]),c_0_709]) ).

cnf(c_0_807,plain,
    product(product(a76,a124),product(a76,a122)) = product(a76,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_779]),c_0_418]),c_0_619]) ).

cnf(c_0_808,plain,
    product(product(a100,a75),product(a76,a124)) = product(a99,a122),
    inference(spm,[status(thm)],[c_0_780,c_0_781]) ).

cnf(c_0_809,plain,
    product(a100,a75) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_781,c_0_782]),c_0_203]) ).

cnf(c_0_810,plain,
    product(product(a77,a123),product(a76,a124)) = product(a76,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_783]) ).

cnf(c_0_811,plain,
    product(product(a76,a77),a115) = product(a76,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_727]) ).

cnf(c_0_812,plain,
    product(a122,a123) = product(a123,product(a123,product(a77,a124))),
    inference(rw,[status(thm)],[c_0_784,c_0_669]) ).

cnf(c_0_813,plain,
    product(a114,a122) = a100,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_785,c_0_739]),c_0_764]) ).

cnf(c_0_814,plain,
    product(product(X1,a123),a100) = product(product(X1,a99),a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_786,c_0_787]),c_0_688]),c_0_189]),c_0_702]),c_0_145]),c_0_592]),c_0_614]),c_0_669]),c_0_739]),c_0_764]) ).

cnf(c_0_815,plain,
    product(product(X1,a104),a30) = product(product(X1,a105),product(a30,a105)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_501]),c_0_145]) ).

cnf(c_0_816,plain,
    product(a40,a4) = a39,
    inference(spm,[status(thm)],[c_0_147,c_0_624]) ).

cnf(c_0_817,plain,
    product(a82,a81) = product(a73,a118),
    inference(rw,[status(thm)],[c_0_788,c_0_307]) ).

cnf(c_0_818,plain,
    product(product(a91,a123),product(a76,a124)) = product(a92,a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_789]),c_0_619]) ).

cnf(c_0_819,axiom,
    a97 = product(a96,a42),
    knot_97 ).

cnf(c_0_820,axiom,
    a96 = product(a95,a64),
    knot_96 ).

cnf(c_0_821,plain,
    product(product(a66,a1),a42) = a64,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_790]),c_0_791]) ).

cnf(c_0_822,plain,
    product(product(a76,a115),product(a99,a68)) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_792]) ).

cnf(c_0_823,plain,
    product(product(X1,a115),product(a99,a68)) = product(product(X1,a123),a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_684,c_0_739]),c_0_739]),c_0_764]) ).

cnf(c_0_824,plain,
    product(product(a123,a76),a122) = product(a122,product(a76,a75)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_753]),c_0_680]) ).

cnf(c_0_825,plain,
    product(a122,product(a76,a75)) = product(a123,product(a76,a115)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_793]),c_0_470]),c_0_794]) ).

cnf(c_0_826,plain,
    product(a121,a99) = product(a123,a76),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_795]),c_0_145]),c_0_796]),c_0_444]),c_0_753]),c_0_514]),c_0_535]),c_0_738]),c_0_797]) ).

cnf(c_0_827,plain,
    product(product(a77,a99),a124) = product(a76,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_636]),c_0_656]),c_0_649]),c_0_145]),c_0_800]) ).

cnf(c_0_828,plain,
    product(product(a76,a123),a122) = product(a76,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_619]),c_0_444]),c_0_678]),c_0_535]),c_0_696]),c_0_145]),c_0_609]),c_0_705]) ).

cnf(c_0_829,plain,
    product(product(a99,a68),product(a76,a124)) = a122,
    inference(rw,[status(thm)],[c_0_802,c_0_688]) ).

cnf(c_0_830,plain,
    product(a68,product(a76,a124)) = product(a76,a75),
    inference(rw,[status(thm)],[c_0_803,c_0_619]) ).

cnf(c_0_831,plain,
    product(a121,product(a68,a76)) = product(a123,a121),
    inference(rw,[status(thm)],[c_0_804,c_0_676]) ).

cnf(c_0_832,plain,
    product(product(a76,a121),a75) = product(a76,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_576]),c_0_396]),c_0_685]) ).

cnf(c_0_833,plain,
    product(product(a76,product(a76,a122)),product(a76,a115)) = a75,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_806]),c_0_206]),c_0_402]),c_0_145]),c_0_807]) ).

cnf(c_0_834,plain,
    product(a121,product(a76,a124)) = product(a99,a122),
    inference(rw,[status(thm)],[c_0_808,c_0_809]) ).

cnf(c_0_835,plain,
    product(a77,product(a76,a124)) = product(a76,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_810]),c_0_716]),c_0_811]) ).

cnf(c_0_836,plain,
    product(product(a124,X1),product(a122,X1)) = product(a115,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_414]) ).

cnf(c_0_837,plain,
    product(a122,a123) = a100,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_812,c_0_739]),c_0_764]) ).

cnf(c_0_838,plain,
    product(a123,a100) = product(a99,a122),
    inference(spm,[status(thm)],[c_0_147,c_0_787]) ).

cnf(c_0_839,plain,
    product(product(a76,a122),a100) = product(a76,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_813]),c_0_680]) ).

cnf(c_0_840,plain,
    product(product(a77,X1),product(a121,X1)) = product(a68,X1),
    inference(spm,[status(thm)],[c_0_218,c_0_444]) ).

cnf(c_0_841,plain,
    product(product(product(X1,a99),a114),a100) = product(X1,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_814]) ).

cnf(c_0_842,plain,
    product(a114,a124) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_460]) ).

cnf(c_0_843,axiom,
    a88 = product(a87,a4),
    knot_88 ).

cnf(c_0_844,plain,
    product(product(a87,a105),product(a30,a105)) = a85,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_540]),c_0_504]) ).

cnf(c_0_845,plain,
    product(product(X1,a4),a39) = product(product(X1,a40),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_816]) ).

cnf(c_0_846,plain,
    product(a82,a81) = product(a71,a73),
    inference(rw,[status(thm)],[c_0_817,c_0_354]) ).

cnf(c_0_847,plain,
    product(a73,product(a108,a73)) = a82,
    inference(spm,[status(thm)],[c_0_147,c_0_389]) ).

cnf(c_0_848,plain,
    product(product(a73,X1),product(a82,X1)) = product(a72,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_295]) ).

cnf(c_0_849,plain,
    product(product(a92,a76),a68) = product(a91,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_818]),c_0_716]),c_0_145]),c_0_428]),c_0_619]),c_0_654]),c_0_669]),c_0_684]),c_0_717]),c_0_716]),c_0_145]),c_0_636]),c_0_656]),c_0_718]) ).

cnf(c_0_850,axiom,
    a98 = product(a97,a1),
    knot_98 ).

cnf(c_0_851,plain,
    product(product(a96,X1),a42) = product(a97,product(X1,a42)),
    inference(spm,[status(thm)],[c_0_145,c_0_819]) ).

cnf(c_0_852,plain,
    product(a96,a64) = a95,
    inference(spm,[status(thm)],[c_0_147,c_0_820]) ).

cnf(c_0_853,plain,
    product(a64,a42) = product(a66,a1),
    inference(spm,[status(thm)],[c_0_147,c_0_821]) ).

cnf(c_0_854,axiom,
    a3 = product(a2,a41),
    knot_03 ).

cnf(c_0_855,plain,
    product(product(a100,a123),a115) = product(a99,product(a123,a122)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_651]),c_0_415]) ).

cnf(c_0_856,plain,
    product(product(a76,a123),a100) = a75,
    inference(rw,[status(thm)],[c_0_822,c_0_823]) ).

cnf(c_0_857,plain,
    product(product(a123,a76),a122) = product(a123,product(a76,a115)),
    inference(rw,[status(thm)],[c_0_824,c_0_825]) ).

cnf(c_0_858,plain,
    product(a123,a76) = product(a99,product(a77,a99)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_782]),c_0_826]) ).

cnf(c_0_859,plain,
    product(a77,a99) = product(a76,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_827]),c_0_652]),c_0_828]) ).

cnf(c_0_860,plain,
    product(product(a76,a122),product(a76,a115)) = product(a76,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_685]),c_0_631]),c_0_649]) ).

cnf(c_0_861,plain,
    product(a123,product(a76,a115)) = product(a99,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_829]),c_0_830]),c_0_825]) ).

cnf(c_0_862,plain,
    product(product(a121,X1),a75) = product(a100,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_189,c_0_809]) ).

cnf(c_0_863,plain,
    product(a121,product(a76,a77)) = product(a123,a121),
    inference(rw,[status(thm)],[c_0_831,c_0_618]) ).

cnf(c_0_864,plain,
    product(product(a76,a77),a75) = product(a75,product(a76,a122)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_710]),c_0_832]) ).

cnf(c_0_865,plain,
    product(a75,product(a76,a122)) = product(a76,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_833]),c_0_805]),c_0_196]),c_0_619]) ).

cnf(c_0_866,plain,
    product(product(a76,a75),product(a99,a122)) = product(a76,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_834]),c_0_830]),c_0_835]) ).

cnf(c_0_867,plain,
    product(product(a99,a122),product(a76,a75)) = product(a99,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_836,c_0_837]),c_0_461]),c_0_685]),c_0_435]),c_0_619]),c_0_654]),c_0_669]),c_0_739]),c_0_145]),c_0_838]),c_0_839]) ).

cnf(c_0_868,plain,
    product(product(a76,a75),product(a99,a68)) = product(a76,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_840,c_0_795]),c_0_680]),c_0_436]),c_0_619]) ).

cnf(c_0_869,plain,
    product(product(X1,a114),a100) = product(product(X1,a99),a123),
    inference(spm,[status(thm)],[c_0_841,c_0_147]) ).

cnf(c_0_870,plain,
    product(product(a76,a123),product(a121,a115)) = product(a77,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_842]),c_0_145]),c_0_461]),c_0_552]) ).

cnf(c_0_871,plain,
    product(product(a87,X1),a4) = product(a88,product(X1,a4)),
    inference(spm,[status(thm)],[c_0_145,c_0_843]) ).

cnf(c_0_872,plain,
    product(a87,a30) = product(a85,a105),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_844]),c_0_147]) ).

cnf(c_0_873,plain,
    product(product(a83,a40),a4) = a85,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_845]),c_0_605]),c_0_486]) ).

cnf(c_0_874,plain,
    product(a84,a39) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_525]) ).

cnf(c_0_875,plain,
    product(product(a71,a73),a81) = a82,
    inference(spm,[status(thm)],[c_0_147,c_0_846]) ).

cnf(c_0_876,plain,
    product(a82,a73) = product(a73,a108),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_847]),c_0_147]) ).

cnf(c_0_877,plain,
    product(a73,a108) = product(a72,product(a108,a73)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_389]),c_0_216]),c_0_147]) ).

cnf(c_0_878,plain,
    product(product(a31,X1),a39) = product(a32,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_567]) ).

cnf(c_0_879,plain,
    product(a31,a5) = a30,
    inference(spm,[status(thm)],[c_0_147,c_0_484]) ).

cnf(c_0_880,axiom,
    a91 = product(a90,a100),
    knot_91 ).

cnf(c_0_881,plain,
    product(product(a91,a122),product(a77,product(a76,a121))) = product(a92,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_849]),c_0_402]),c_0_145]),c_0_173]),c_0_174]),c_0_145]),c_0_586]),c_0_635]) ).

cnf(c_0_882,axiom,
    a93 = product(a92,a2),
    knot_93 ).

cnf(c_0_883,axiom,
    a95 = product(a94,a127),
    knot_95 ).

cnf(c_0_884,axiom,
    a127 = product(a126,a41),
    knot_127 ).

cnf(c_0_885,axiom,
    a94 = product(a93,a41),
    knot_94 ).

cnf(c_0_886,plain,
    product(product(a97,X1),a1) = product(a98,product(X1,a1)),
    inference(spm,[status(thm)],[c_0_145,c_0_850]) ).

cnf(c_0_887,plain,
    product(a97,product(a66,a1)) = product(a95,a42),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_851,c_0_852]),c_0_853]) ).

cnf(c_0_888,plain,
    product(a3,a41) = a2,
    inference(spm,[status(thm)],[c_0_147,c_0_854]) ).

cnf(c_0_889,plain,
    product(a2,a42) = a1,
    inference(spm,[status(thm)],[c_0_147,c_0_769]) ).

cnf(c_0_890,plain,
    product(product(a99,a123),product(a123,product(a123,product(a77,a124)))) = product(a100,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_855]),c_0_365]),c_0_145]),c_0_147]),c_0_145]),c_0_592]),c_0_614]),c_0_669]) ).

cnf(c_0_891,plain,
    product(a75,a100) = product(a76,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_856]) ).

cnf(c_0_892,plain,
    product(product(a99,a122),product(a76,a123)) = product(a99,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_857,c_0_858]),c_0_145]),c_0_859]),c_0_145]),c_0_752]),c_0_860]),c_0_861]) ).

cnf(c_0_893,plain,
    product(a124,a100) = product(a100,product(a76,product(a76,a124))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_863]),c_0_364]),c_0_614]),c_0_669]),c_0_739]),c_0_764]),c_0_864]),c_0_865]) ).

cnf(c_0_894,plain,
    product(product(a76,a123),product(a123,product(a77,a124))) = a68,
    inference(rw,[status(thm)],[c_0_630,c_0_669]) ).

cnf(c_0_895,plain,
    product(a75,a121) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_444]),c_0_145]),c_0_694]) ).

cnf(c_0_896,axiom,
    a99 = product(a98,a92),
    knot_99 ).

cnf(c_0_897,axiom,
    a68 = product(a67,a98),
    knot_68 ).

cnf(c_0_898,axiom,
    a67 = product(a66,a92),
    knot_67 ).

cnf(c_0_899,plain,
    product(product(a76,a123),product(a76,a75)) = product(a76,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_866]),c_0_867]),c_0_868]) ).

cnf(c_0_900,plain,
    product(product(product(X1,X2),X3),product(X1,X3)) = product(product(X1,X3),product(product(X2,X3),product(X1,X3))),
    inference(spm,[status(thm)],[c_0_762,c_0_203]) ).

cnf(c_0_901,plain,
    product(product(a76,a99),a123) = product(a77,a100),
    inference(spm,[status(thm)],[c_0_869,c_0_196]) ).

cnf(c_0_902,plain,
    product(product(a99,X1),product(a76,X1)) = product(a124,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_723]) ).

cnf(c_0_903,plain,
    product(product(a76,a123),product(a123,product(a76,a122))) = product(a77,a124),
    inference(rw,[status(thm)],[c_0_870,c_0_700]) ).

cnf(c_0_904,plain,
    product(product(a85,a105),a4) = product(a88,product(a30,a4)),
    inference(spm,[status(thm)],[c_0_871,c_0_872]) ).

cnf(c_0_905,plain,
    product(product(a85,X1),a4) = product(product(a83,a40),product(X1,a4)),
    inference(spm,[status(thm)],[c_0_189,c_0_873]) ).

cnf(c_0_906,plain,
    product(product(a105,X1),product(a5,X1)) = product(a106,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_500]) ).

cnf(c_0_907,plain,
    product(a106,a39) = product(a108,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_547]),c_0_874]) ).

cnf(c_0_908,plain,
    product(a109,a73) = product(a108,product(a81,a73)),
    inference(spm,[status(thm)],[c_0_189,c_0_315]) ).

cnf(c_0_909,plain,
    product(a72,a110) = product(a71,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_875]),c_0_876]),c_0_877]),c_0_366]),c_0_371]),c_0_379]),c_0_391]) ).

cnf(c_0_910,plain,
    product(a32,a4) = product(a30,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_878,c_0_879]),c_0_623]) ).

cnf(c_0_911,plain,
    product(a73,a108) = product(a72,a110),
    inference(rw,[status(thm)],[c_0_877,c_0_366]) ).

cnf(c_0_912,plain,
    product(a91,a100) = a90,
    inference(spm,[status(thm)],[c_0_147,c_0_880]) ).

cnf(c_0_913,plain,
    product(product(a92,a77),a121) = product(a91,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_881]),c_0_145]),c_0_680]),c_0_683]),c_0_457]),c_0_619]),c_0_656]),c_0_718]),c_0_203]),c_0_402]),c_0_145]),c_0_436]),c_0_619]),c_0_757]) ).

cnf(c_0_914,plain,
    product(a93,a2) = a92,
    inference(spm,[status(thm)],[c_0_147,c_0_882]) ).

cnf(c_0_915,plain,
    product(product(a94,X1),product(a127,X1)) = product(a95,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_883]) ).

cnf(c_0_916,plain,
    product(a127,a41) = a126,
    inference(spm,[status(thm)],[c_0_147,c_0_884]) ).

cnf(c_0_917,plain,
    product(a94,a41) = a93,
    inference(spm,[status(thm)],[c_0_147,c_0_885]) ).

cnf(c_0_918,plain,
    product(product(a95,a1),product(a42,a1)) = product(a98,a66),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_886,c_0_887]),c_0_147]),c_0_145]) ).

cnf(c_0_919,plain,
    product(product(X1,a1),product(a42,a1)) = product(product(X1,a3),a41),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_888]),c_0_145]),c_0_768]),c_0_145]),c_0_889]),c_0_145]) ).

cnf(c_0_920,plain,
    product(product(X1,a115),product(a99,a68)) = product(product(X1,a99),a114),
    inference(rw,[status(thm)],[c_0_823,c_0_814]) ).

cnf(c_0_921,plain,
    product(product(a99,a114),a68) = product(a100,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_715]),c_0_716]),c_0_145]),c_0_462]),c_0_685]),c_0_805]) ).

cnf(c_0_922,plain,
    product(a100,a115) = product(a99,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_796]),c_0_415]),c_0_890]),c_0_738]) ).

cnf(c_0_923,plain,
    product(a100,product(a76,product(a76,a124))) = product(a99,product(a76,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_838]),c_0_891]),c_0_892]),c_0_893]) ).

cnf(c_0_924,plain,
    product(product(a77,a123),a115) = product(product(a76,a123),a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_680]),c_0_749]) ).

cnf(c_0_925,plain,
    product(product(a76,a123),a75) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_665]),c_0_364]),c_0_669]),c_0_364]),c_0_145]),c_0_649]),c_0_396]),c_0_145]),c_0_435]),c_0_619]),c_0_654]),c_0_669]),c_0_894]),c_0_510]),c_0_496]),c_0_426]),c_0_433]),c_0_586]),c_0_635]),c_0_653]),c_0_895]) ).

cnf(c_0_926,plain,
    product(product(X1,a98),a92) = product(product(X1,a99),product(a92,a99)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_896]),c_0_145]) ).

cnf(c_0_927,plain,
    product(a68,a98) = a67,
    inference(spm,[status(thm)],[c_0_147,c_0_897]) ).

cnf(c_0_928,plain,
    product(a67,a92) = a66,
    inference(spm,[status(thm)],[c_0_147,c_0_898]) ).

cnf(c_0_929,plain,
    product(product(a76,product(a76,a75)),product(product(a76,a124),product(a76,a75))) = product(a77,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_599]),c_0_554]),c_0_635]),c_0_145]),c_0_806]),c_0_794]),c_0_145]) ).

cnf(c_0_930,plain,
    product(product(a76,a124),product(a76,a75)) = product(a76,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_899]) ).

cnf(c_0_931,plain,
    product(product(a77,a100),product(a76,a123)) = product(a77,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_901]),c_0_902]),c_0_461]),c_0_685]),c_0_903]) ).

cnf(c_0_932,plain,
    product(product(a83,a40),product(a105,a4)) = product(a88,product(a30,a4)),
    inference(rw,[status(thm)],[c_0_904,c_0_905]) ).

cnf(c_0_933,plain,
    product(product(a105,a40),product(a4,a40)) = product(a108,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_623]),c_0_907]),c_0_145]),c_0_624]),c_0_145]) ).

cnf(c_0_934,plain,
    product(a83,product(a108,a83)) = product(a71,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_602]),c_0_908]),c_0_371]),c_0_379]),c_0_391]),c_0_876]),c_0_877]),c_0_366]),c_0_909]) ).

cnf(c_0_935,plain,
    product(product(a30,a40),product(a4,a40)) = a32,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_910]),c_0_145]),c_0_624]),c_0_145]) ).

cnf(c_0_936,plain,
    product(a73,a108) = product(a71,a83),
    inference(rw,[status(thm)],[c_0_911,c_0_909]) ).

cnf(c_0_937,plain,
    product(a92,a124) = a91,
    inference(spm,[status(thm)],[c_0_147,c_0_703]) ).

cnf(c_0_938,plain,
    product(product(a91,X1),product(a100,X1)) = product(a90,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_912]) ).

cnf(c_0_939,plain,
    product(product(a91,a121),product(a77,product(a76,a77))) = product(a92,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_913]),c_0_145]),c_0_895]) ).

cnf(c_0_940,plain,
    product(product(a93,X1),a2) = product(a92,product(X1,a2)),
    inference(spm,[status(thm)],[c_0_145,c_0_914]) ).

cnf(c_0_941,plain,
    product(a93,a126) = product(a95,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_916]),c_0_917]) ).

cnf(c_0_942,plain,
    product(product(a95,a3),a41) = product(a98,a66),
    inference(rw,[status(thm)],[c_0_918,c_0_919]) ).

cnf(c_0_943,axiom,
    a126 = product(a125,a65),
    knot_126 ).

cnf(c_0_944,axiom,
    a125 = product(a124,a2),
    knot_125 ).

cnf(c_0_945,plain,
    product(product(product(product(X1,X2),X3),X4),product(product(X2,X3),X4)) = product(product(X1,X3),X4),
    inference(spm,[status(thm)],[c_0_145,c_0_218]) ).

cnf(c_0_946,plain,
    product(product(product(X1,a99),a114),a115) = product(X1,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_920]),c_0_145]),c_0_462]),c_0_685]),c_0_805]),c_0_921]),c_0_740]) ).

cnf(c_0_947,plain,
    product(product(a99,a114),a115) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_922]) ).

cnf(c_0_948,plain,
    product(product(X1,a100),product(a99,product(a76,a124))) = product(product(X1,a99),a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_800,c_0_893]),c_0_923]) ).

cnf(c_0_949,plain,
    product(a76,product(a123,a68)) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_685]),c_0_679]),c_0_711]) ).

cnf(c_0_950,plain,
    product(product(a77,a123),a115) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[c_0_924,c_0_925]) ).

cnf(c_0_951,plain,
    product(product(a68,a99),product(a92,a99)) = a66,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_927]),c_0_928]) ).

cnf(c_0_952,plain,
    product(product(a76,a123),product(a99,a68)) = a68,
    inference(rw,[status(thm)],[c_0_894,c_0_739]) ).

cnf(c_0_953,plain,
    product(product(a76,a77),a123) = product(a77,product(a77,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_810]),c_0_145]),c_0_461]),c_0_685]),c_0_903]) ).

cnf(c_0_954,plain,
    product(product(a76,a77),a124) = product(a76,a122),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_727]),c_0_147]) ).

cnf(c_0_955,plain,
    product(product(a76,product(a76,a123)),product(product(a76,a75),product(a76,a123))) = product(a77,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_929,c_0_930]),c_0_145]) ).

cnf(c_0_956,plain,
    product(product(a77,a124),product(a76,a123)) = product(a77,a100),
    inference(spm,[status(thm)],[c_0_147,c_0_931]) ).

cnf(c_0_957,plain,
    product(product(a88,a40),a32) = product(a71,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_932]),c_0_145]),c_0_933]),c_0_934]),c_0_145]),c_0_145]),c_0_935]) ).

cnf(c_0_958,plain,
    product(product(a71,a83),a32) = product(a74,product(a117,a116)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_936]),c_0_645]) ).

cnf(c_0_959,axiom,
    a89 = product(a88,a14),
    knot_89 ).

cnf(c_0_960,plain,
    product(product(a92,X1),a124) = product(a91,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_937]) ).

cnf(c_0_961,plain,
    product(a92,a77) = product(a90,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_938,c_0_809]),c_0_145]),c_0_895]),c_0_939]) ).

cnf(c_0_962,plain,
    product(product(a77,a123),product(a121,a115)) = product(a76,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_842]),c_0_145]),c_0_461]),c_0_552]) ).

cnf(c_0_963,plain,
    product(a92,product(a126,a2)) = product(a98,a66),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_940,c_0_941]),c_0_145]),c_0_768]),c_0_145]),c_0_889]),c_0_145]),c_0_919]),c_0_942]) ).

cnf(c_0_964,plain,
    product(product(X1,a65),a2) = product(product(X1,a66),product(a2,a66)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_743]),c_0_145]) ).

cnf(c_0_965,plain,
    product(a126,a65) = a125,
    inference(spm,[status(thm)],[c_0_147,c_0_943]) ).

cnf(c_0_966,plain,
    product(a125,a2) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_944]) ).

cnf(c_0_967,plain,
    product(product(X1,a114),a115) = product(product(X1,a99),a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_945,c_0_946]),c_0_947]),c_0_145]),c_0_893]),c_0_923]),c_0_948]) ).

cnf(c_0_968,plain,
    product(a68,a114) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[c_0_456,c_0_949]) ).

cnf(c_0_969,plain,
    product(product(a76,product(a76,a123)),product(product(a76,a124),product(a76,a123))) = product(a77,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_950]),c_0_145]),c_0_806]),c_0_811]),c_0_145]) ).

cnf(c_0_970,plain,
    product(a68,a99) = product(a66,product(a92,a99)),
    inference(spm,[status(thm)],[c_0_147,c_0_951]) ).

cnf(c_0_971,plain,
    product(a92,a99) = product(a90,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_912]),c_0_633]) ).

cnf(c_0_972,plain,
    product(product(a77,a100),product(a76,a115)) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_811]),c_0_952]),c_0_953]),c_0_145]),c_0_145]),c_0_800]),c_0_859]),c_0_145]),c_0_954]),c_0_807]) ).

cnf(c_0_973,plain,
    product(a77,a100) = product(a76,product(a76,a75)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_955]),c_0_956]),c_0_147]) ).

cnf(c_0_974,plain,
    product(a74,product(a117,a116)) = product(a88,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_957]),c_0_958]) ).

cnf(c_0_975,plain,
    product(product(a88,X1),a14) = product(a89,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_959]) ).

cnf(c_0_976,axiom,
    a41 = product(a40,a14),
    knot_41 ).

cnf(c_0_977,axiom,
    a90 = product(a89,a41),
    knot_90 ).

cnf(c_0_978,plain,
    product(product(a90,a123),a75) = product(a91,product(a77,a124)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_961]),c_0_749]) ).

cnf(c_0_979,plain,
    product(product(a77,a123),product(a123,product(a76,a122))) = product(a76,a124),
    inference(rw,[status(thm)],[c_0_962,c_0_700]) ).

cnf(c_0_980,plain,
    product(product(a98,a66),product(a126,a2)) = a92,
    inference(spm,[status(thm)],[c_0_147,c_0_963]) ).

cnf(c_0_981,plain,
    product(product(a126,a66),product(a2,a66)) = a124,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_965]),c_0_966]) ).

cnf(c_0_982,plain,
    product(product(a77,a123),product(a75,a123)) = a68,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_631]),c_0_145]) ).

cnf(c_0_983,plain,
    product(product(a66,a90),product(a124,a90)) = product(a77,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_967,c_0_968]),c_0_145]),c_0_806]),c_0_811]),c_0_145]),c_0_969]),c_0_970]),c_0_971]),c_0_145]),c_0_147]),c_0_145]) ).

cnf(c_0_984,plain,
    product(product(X1,a109),product(a118,a109)) = product(product(X1,a108),a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_246]),c_0_145]) ).

cnf(c_0_985,plain,
    product(product(a76,product(a76,a75)),product(a76,a115)) = a68,
    inference(rw,[status(thm)],[c_0_972,c_0_973]) ).

cnf(c_0_986,plain,
    product(product(a76,a115),product(a76,a75)) = product(a76,a122),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_752]),c_0_680]) ).

cnf(c_0_987,plain,
    product(a76,a122) = a90,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_974]),c_0_975]),c_0_976]),c_0_977]),c_0_527]),c_0_170]),c_0_360]),c_0_685]) ).

cnf(c_0_988,plain,
    product(a92,a68) = product(a90,product(a76,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_978]),c_0_145]),c_0_145]),c_0_461]),c_0_685]),c_0_979]),c_0_818]),c_0_685]) ).

cnf(c_0_989,plain,
    product(a92,a66) = product(a98,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_980]),c_0_145]),c_0_981]) ).

cnf(c_0_990,plain,
    product(product(a77,a123),product(a76,a122)) = a68,
    inference(rw,[status(thm)],[c_0_982,c_0_685]) ).

cnf(c_0_991,plain,
    product(product(a77,a90),product(a123,a90)) = product(a66,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_983]),c_0_147]),c_0_145]) ).

cnf(c_0_992,plain,
    product(product(a71,a108),a118) = product(a72,product(a118,a109)),
    inference(spm,[status(thm)],[c_0_984,c_0_285]) ).

cnf(c_0_993,plain,
    product(a72,product(a118,a109)) = product(a70,a109),
    inference(spm,[status(thm)],[c_0_330,c_0_277]) ).

cnf(c_0_994,plain,
    product(a68,product(a76,a75)) = product(a76,product(a76,a122)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_985]),c_0_986]) ).

cnf(c_0_995,plain,
    product(a76,a75) = a91,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_839,c_0_987]),c_0_880]) ).

cnf(c_0_996,plain,
    product(a92,a68) = a90,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_988,c_0_987]),c_0_203]) ).

cnf(c_0_997,plain,
    product(a91,product(a66,a124)) = a98,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_989]),c_0_147]) ).

cnf(c_0_998,plain,
    product(a66,a124) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_990,c_0_987]),c_0_145]),c_0_991]) ).

cnf(c_0_999,plain,
    product(product(a99,X1),product(a124,X1)) = product(a100,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_616]) ).

cnf(c_0_1000,plain,
    product(a110,a81) = a109,
    inference(rw,[status(thm)],[c_0_281,c_0_361]) ).

cnf(c_0_1001,plain,
    product(product(a71,a108),a118) = product(a70,a109),
    inference(rw,[status(thm)],[c_0_992,c_0_993]) ).

cnf(c_0_1002,plain,
    product(a70,a109) = product(a72,product(a109,product(a109,a82))),
    inference(rw,[status(thm)],[c_0_993,c_0_327]) ).

cnf(c_0_1003,plain,
    product(a109,a82) = product(a110,a109),
    inference(rw,[status(thm)],[c_0_331,c_0_366]) ).

cnf(c_0_1004,plain,
    product(a111,product(a70,a119)) = product(a109,a119),
    inference(spm,[status(thm)],[c_0_299,c_0_281]) ).

cnf(c_0_1005,plain,
    product(a68,a91) = product(a76,a90),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_994,c_0_987]),c_0_995]) ).

cnf(c_0_1006,plain,
    product(a90,a68) = a92,
    inference(spm,[status(thm)],[c_0_147,c_0_996]) ).

cnf(c_0_1007,plain,
    product(a91,a68) = a98,
    inference(rw,[status(thm)],[c_0_997,c_0_998]) ).

cnf(c_0_1008,plain,
    product(product(a99,a123),product(a123,product(a77,a124))) = product(a100,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_999,c_0_414]),c_0_416]),c_0_435]),c_0_619]),c_0_654]),c_0_669]) ).

cnf(c_0_1009,plain,
    product(a122,a121) = product(a123,product(a123,a122)),
    inference(rw,[status(thm)],[c_0_514,c_0_535]) ).

cnf(c_0_1010,plain,
    product(product(a71,a81),a82) = product(a71,a73),
    inference(rw,[status(thm)],[c_0_348,c_0_354]) ).

cnf(c_0_1011,plain,
    product(product(a81,X1),a109) = product(a82,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_176]) ).

cnf(c_0_1012,plain,
    product(a82,product(a109,a82)) = product(a81,a82),
    inference(spm,[status(thm)],[c_0_216,c_0_186]) ).

cnf(c_0_1013,plain,
    product(a110,a109) = a119,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_406]),c_0_1000]) ).

cnf(c_0_1014,plain,
    product(a72,product(a109,product(a110,a109))) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_379]),c_0_1001]),c_0_1002]),c_0_1003]),c_0_406]),c_0_406]),c_0_1000]),c_0_176]) ).

cnf(c_0_1015,plain,
    product(a109,a119) = product(a111,product(a71,a70)),
    inference(rw,[status(thm)],[c_0_1004,c_0_278]) ).

cnf(c_0_1016,plain,
    product(a75,a92) = a67,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1005]),c_0_457]),c_0_1006]),c_0_1007]),c_0_927]) ).

cnf(c_0_1017,plain,
    product(product(a100,a123),product(a123,product(a123,product(a77,a124)))) = product(a99,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1008]),c_0_216]),c_0_145]),c_0_461]),c_0_685]),c_0_979]),c_0_716]),c_0_145]),c_0_592]),c_0_614]),c_0_669]) ).

cnf(c_0_1018,plain,
    product(a122,product(a123,product(a123,product(a77,a124)))) = product(a123,product(a123,product(a76,a122))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_1009]),c_0_470]),c_0_416]),c_0_203]),c_0_435]),c_0_442]),c_0_592]),c_0_614]),c_0_669]),c_0_700]) ).

cnf(c_0_1019,plain,
    product(a79,a82) = product(a71,a73),
    inference(rw,[status(thm)],[c_0_1010,c_0_476]) ).

cnf(c_0_1020,plain,
    product(a111,a82) = a118,
    inference(rw,[status(thm)],[c_0_346,c_0_369]) ).

cnf(c_0_1021,plain,
    product(a110,a73) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_366]) ).

cnf(c_0_1022,plain,
    product(a73,a110) = a82,
    inference(rw,[status(thm)],[c_0_847,c_0_366]) ).

cnf(c_0_1023,plain,
    product(a83,product(a81,a118)) = a73,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_817]),c_0_147]) ).

cnf(c_0_1024,plain,
    product(product(a71,a81),product(a109,product(a109,a82))) = product(a81,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_307]),c_0_331]),c_0_1012]),c_0_145]),c_0_343]),c_0_327]) ).

cnf(c_0_1025,plain,
    product(product(a70,a71),product(a119,a118)) = a71,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_203]),c_0_266]) ).

cnf(c_0_1026,plain,
    product(a109,a82) = a119,
    inference(rw,[status(thm)],[c_0_1003,c_0_1013]) ).

cnf(c_0_1027,plain,
    product(a72,a112) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1014,c_0_1013]),c_0_1015]),c_0_361]),c_0_476]),c_0_208]) ).

cnf(c_0_1028,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a70,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a75,a76,a77,a113,a114,a78,a79,a80,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a80,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130),
    goal ).

cnf(c_0_1029,plain,
    a75 = a66,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1016]),c_0_928]) ).

cnf(c_0_1030,plain,
    product(product(a100,a123),a75) = product(a99,product(a75,a124)),
    inference(spm,[status(thm)],[c_0_749,c_0_651]) ).

cnf(c_0_1031,plain,
    product(a114,a123) = product(a123,product(a121,a115)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_460]),c_0_461]),c_0_552]) ).

cnf(c_0_1032,plain,
    product(a123,product(a123,product(a76,a122))) = product(a99,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1017,c_0_688]),c_0_1018]) ).

cnf(c_0_1033,plain,
    product(a112,a82) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_1019]),c_0_1020]),c_0_392]) ).

cnf(c_0_1034,plain,
    product(a110,a82) = product(a108,a110),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1021]),c_0_1022]) ).

cnf(c_0_1035,plain,
    product(a118,product(a108,a73)) = a109,
    inference(rw,[status(thm)],[c_0_477,c_0_301]) ).

cnf(c_0_1036,plain,
    product(a83,a71) = a73,
    inference(rw,[status(thm)],[c_0_1023,c_0_465]) ).

cnf(c_0_1037,plain,
    product(a82,product(a71,product(a108,a73))) = product(a71,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_322]),c_0_343]),c_0_145]),c_0_343]),c_0_327]),c_0_1024]),c_0_329]) ).

cnf(c_0_1038,plain,
    product(product(a83,X1),a118) = product(a82,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_334]) ).

cnf(c_0_1039,plain,
    product(a83,a73) = a70,
    inference(spm,[status(thm)],[c_0_147,c_0_353]) ).

cnf(c_0_1040,plain,
    product(a70,a71) = product(a71,product(a119,a118)),
    inference(spm,[status(thm)],[c_0_147,c_0_1025]) ).

cnf(c_0_1041,plain,
    product(a119,a118) = product(a108,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_1026]),c_0_197]) ).

cnf(c_0_1042,plain,
    product(product(a72,X1),product(a82,X1)) = product(a73,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_284]) ).

cnf(c_0_1043,plain,
    product(a82,a112) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_1027]) ).

cnf(c_0_1044,plain,
    product(a110,a112) = product(a108,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_1026]),c_0_342]),c_0_369]),c_0_236]) ).

cnf(c_0_1045,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a80,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a75,a76,a77,a113,a114,a78,a79,a80,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1028,c_0_361]),c_0_361]) ).

cnf(c_0_1046,plain,
    product(product(a121,X1),a124) = product(a115,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_189,c_0_481]) ).

cnf(c_0_1047,plain,
    product(a121,a66) = a100,
    inference(rw,[status(thm)],[c_0_799,c_0_1029]) ).

cnf(c_0_1048,plain,
    product(product(a100,a123),a75) = product(a99,product(a76,a121)),
    inference(rw,[status(thm)],[c_0_1030,c_0_576]) ).

cnf(c_0_1049,plain,
    product(product(product(X1,a99),a123),product(a99,a115)) = product(X1,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_814]),c_0_688]),c_0_145]),c_0_1031]),c_0_700]),c_0_1032]) ).

cnf(c_0_1050,plain,
    product(product(a108,X1),product(a118,X1)) = product(a109,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_246]) ).

cnf(c_0_1051,plain,
    product(a108,a110) = a112,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1033]),c_0_1034]) ).

cnf(c_0_1052,plain,
    product(a118,a110) = a109,
    inference(rw,[status(thm)],[c_0_1035,c_0_366]) ).

cnf(c_0_1053,plain,
    product(a109,a110) = a118,
    inference(rw,[status(thm)],[c_0_377,c_0_366]) ).

cnf(c_0_1054,plain,
    product(a83,product(a71,a83)) = product(a73,a83),
    inference(spm,[status(thm)],[c_0_216,c_0_1036]) ).

cnf(c_0_1055,plain,
    product(a82,product(a71,a110)) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1037,c_0_366]),c_0_476]) ).

cnf(c_0_1056,plain,
    product(product(a79,a71),product(a119,a118)) = a81,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_275]),c_0_147]) ).

cnf(c_0_1057,plain,
    product(a82,product(a71,a73)) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1039]),c_0_266]),c_0_354]) ).

cnf(c_0_1058,plain,
    product(a81,a71) = product(a71,product(a108,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1040,c_0_361]),c_0_1041]) ).

cnf(c_0_1059,plain,
    product(a82,a72) = product(a73,a112),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_1043]),c_0_1027]) ).

cnf(c_0_1060,plain,
    product(a112,a72) = product(a108,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_361]),c_0_499]),c_0_1044]) ).

cnf(c_0_1061,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a75,a76,a77,a113,a114,a78,a79,a81,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1045,c_0_406]),c_0_406]) ).

cnf(c_0_1062,plain,
    a114 = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1046,c_0_1047]),c_0_633]),c_0_998]),c_0_191]) ).

cnf(c_0_1063,plain,
    product(a99,product(a76,a121)) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1048,c_0_688]),c_0_387]) ).

cnf(c_0_1064,plain,
    product(product(a77,a100),product(a99,a115)) = product(a76,a122),
    inference(spm,[status(thm)],[c_0_1049,c_0_901]) ).

cnf(c_0_1065,plain,
    product(a109,a71) = product(a111,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_265]),c_0_266]) ).

cnf(c_0_1066,plain,
    product(product(a112,X1),product(a79,X1)) = product(a111,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_217]) ).

cnf(c_0_1067,plain,
    product(a112,a109) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1050,c_0_1051]),c_0_1052]),c_0_1053]) ).

cnf(c_0_1068,plain,
    product(a79,a109) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_476]),c_0_176]),c_0_284]) ).

cnf(c_0_1069,plain,
    product(product(a73,a83),a118) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1054]),c_0_350]),c_0_361]),c_0_334]),c_0_329]),c_0_366]),c_0_1055]) ).

cnf(c_0_1070,plain,
    product(a79,a118) = product(a81,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1056]),c_0_145]),c_0_363]),c_0_382]) ).

cnf(c_0_1071,plain,
    product(a71,product(a108,a83)) = product(a72,product(a71,a73)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_357]),c_0_1057]),c_0_1058]) ).

cnf(c_0_1072,plain,
    product(product(a80,a110),a82) = product(a82,product(a70,a82)),
    inference(spm,[status(thm)],[c_0_216,c_0_210]) ).

cnf(c_0_1073,plain,
    product(product(X1,a73),a82) = product(product(X1,a72),product(a82,a72)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_295]),c_0_145]) ).

cnf(c_0_1074,plain,
    product(a73,a112) = product(a72,product(a108,a82)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1027]),c_0_1059]),c_0_1060]) ).

cnf(c_0_1075,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a66,a76,a77,a78,a114,a115,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a66,a76,a77,a113,a114,a78,a79,a81,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1061,c_0_1029]),c_0_1029]) ).

cnf(c_0_1076,plain,
    product(a114,product(a99,a114)) = a122,
    inference(rw,[status(thm)],[c_0_569,c_0_738]) ).

cnf(c_0_1077,plain,
    a124 = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_617,c_0_1062]),c_0_1063]) ).

cnf(c_0_1078,plain,
    product(product(a77,a100),product(a76,a122)) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_1064]),c_0_805]),c_0_921]),c_0_740]),c_0_610]),c_0_727]) ).

cnf(c_0_1079,plain,
    product(a75,a123) = a90,
    inference(rw,[status(thm)],[c_0_685,c_0_987]) ).

cnf(c_0_1080,plain,
    product(product(a71,a119),product(a71,a70)) = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_278]),c_0_145]),c_0_278]) ).

cnf(c_0_1081,plain,
    product(product(a124,a33),product(a14,a13)) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_479]),c_0_145]),c_0_213]) ).

cnf(c_0_1082,plain,
    product(a118,product(a81,a82)) = product(a108,a82),
    inference(spm,[status(thm)],[c_0_218,c_0_346]) ).

cnf(c_0_1083,plain,
    product(a110,product(a71,a70)) = product(a108,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_1065]),c_0_145]),c_0_276]),c_0_149]) ).

cnf(c_0_1084,plain,
    product(a111,a109) = product(a108,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1066,c_0_1067]),c_0_1068]),c_0_272]),c_0_273]),c_0_361]),c_0_410]) ).

cnf(c_0_1085,plain,
    product(product(X1,a77),product(a123,a68)) = product(product(X1,a76),a114),
    inference(rw,[status(thm)],[c_0_660,c_0_588]) ).

cnf(c_0_1086,plain,
    product(a124,product(a68,a121)) = product(a114,product(a122,a121)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_570]),c_0_498]) ).

cnf(c_0_1087,plain,
    product(product(a121,X1),a76) = product(a114,product(X1,a76)),
    inference(spm,[status(thm)],[c_0_145,c_0_200]) ).

cnf(c_0_1088,plain,
    product(product(a71,a73),product(a81,a73)) = product(a73,product(a109,a73)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_343]),c_0_145]) ).

cnf(c_0_1089,plain,
    product(product(a110,a80),a79) = product(a110,a112),
    inference(spm,[status(thm)],[c_0_147,c_0_248]) ).

cnf(c_0_1090,plain,
    product(a73,a83) = product(a72,product(a71,a73)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1069]),c_0_1070]),c_0_1058]),c_0_1071]) ).

cnf(c_0_1091,plain,
    product(product(a71,a72),product(a72,product(a108,a82))) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1072,c_0_406]),c_0_361]),c_0_329]),c_0_1037]),c_0_407]),c_0_1073]),c_0_1059]),c_0_1074]),c_0_476]) ).

cnf(c_0_1092,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a66,a76,a77,a78,a99,a115,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a66,a76,a77,a113,a99,a78,a79,a81,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1075,c_0_1062]),c_0_1062]) ).

cnf(c_0_1093,plain,
    a122 = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1062]),c_0_1062]),c_0_203]),c_0_203]) ).

cnf(c_0_1094,plain,
    a115 = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_571,c_0_1062]),c_0_723]),c_0_1077]) ).

cnf(c_0_1095,plain,
    a100 = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_842,c_0_1062]),c_0_616]) ).

cnf(c_0_1096,plain,
    product(a99,product(a99,a114)) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_855,c_0_688]),c_0_360]),c_0_738]) ).

cnf(c_0_1097,plain,
    product(product(a76,a77),product(a76,a122)) = product(a77,a100),
    inference(spm,[status(thm)],[c_0_147,c_0_1078]) ).

cnf(c_0_1098,plain,
    product(a68,a115) = a90,
    inference(rw,[status(thm)],[c_0_779,c_0_987]) ).

cnf(c_0_1099,plain,
    product(a90,a123) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_1079]) ).

cnf(c_0_1100,plain,
    product(a70,product(a71,a70)) = product(a71,a119),
    inference(spm,[status(thm)],[c_0_147,c_0_1080]) ).

cnf(c_0_1101,plain,
    product(product(a124,a33),product(a14,a13)) = product(a108,a73),
    inference(rw,[status(thm)],[c_0_1081,c_0_301]) ).

cnf(c_0_1102,plain,
    product(a118,product(a71,product(a108,a73))) = product(a108,a82),
    inference(rw,[status(thm)],[c_0_1082,c_0_329]) ).

cnf(c_0_1103,plain,
    product(product(a69,X1),a13) = product(a70,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_154]) ).

cnf(c_0_1104,plain,
    product(a110,a79) = product(a108,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1083,c_0_361]),c_0_476]) ).

cnf(c_0_1105,plain,
    product(product(a108,a71),a109) = a111,
    inference(spm,[status(thm)],[c_0_147,c_0_1084]) ).

cnf(c_0_1106,plain,
    product(product(a99,a76),a114) = product(a100,a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_758]),c_0_1085]) ).

cnf(c_0_1107,plain,
    product(a124,a77) = product(a114,product(a121,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1086,c_0_444]),c_0_514]) ).

cnf(c_0_1108,plain,
    product(a114,product(a124,a76)) = product(a122,a114),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1087,c_0_599]),c_0_675]) ).

cnf(c_0_1109,plain,
    product(a79,a111) = product(a83,a81),
    inference(rw,[status(thm)],[c_0_229,c_0_361]) ).

cnf(c_0_1110,plain,
    product(product(a112,X1),a33) = product(a113,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_183]) ).

cnf(c_0_1111,plain,
    product(product(a71,a73),product(a81,a73)) = product(a73,product(a108,product(a81,a73))),
    inference(rw,[status(thm)],[c_0_1088,c_0_908]) ).

cnf(c_0_1112,plain,
    product(a82,a119) = product(a71,a110),
    inference(spm,[status(thm)],[c_0_147,c_0_374]) ).

cnf(c_0_1113,plain,
    product(a109,a79) = product(a108,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1089,c_0_406]),c_0_1000]),c_0_1044]) ).

cnf(c_0_1114,plain,
    product(a73,a79) = product(a72,product(a71,a119)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1090]),c_0_318]),c_0_1073]),c_0_1059]),c_0_1074]),c_0_1091]),c_0_388]) ).

cnf(c_0_1115,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a66,a76,a77,a78,a99,a121,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a123,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a99,a123,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a66,a76,a77,a113,a99,a78,a79,a81,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a123,a123,a121,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1092,c_0_1093]),c_0_1093]),c_0_1094]),c_0_1095]),c_0_1077]),c_0_1094]),c_0_1095]),c_0_1077]),c_0_1094]),c_0_1094]) ).

cnf(c_0_1116,plain,
    a123 = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1096,c_0_1062]),c_0_203]),c_0_203]) ).

cnf(c_0_1117,plain,
    product(product(a76,a77),product(a76,a122)) = product(a76,product(a76,a75)),
    inference(rw,[status(thm)],[c_0_1097,c_0_973]) ).

cnf(c_0_1118,plain,
    a90 = a77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1098,c_0_1094]),c_0_444]) ).

cnf(c_0_1119,plain,
    product(a76,a66) = a91,
    inference(rw,[status(thm)],[c_0_995,c_0_1029]) ).

cnf(c_0_1120,plain,
    a91 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_880,c_0_1095]),c_0_1099]),c_0_1029]) ).

cnf(c_0_1121,plain,
    product(product(a109,X1),product(a70,X1)) = product(a110,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_175]) ).

cnf(c_0_1122,plain,
    product(a81,a79) = product(a71,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1100,c_0_361]),c_0_361]),c_0_476]) ).

cnf(c_0_1123,plain,
    product(product(a124,a33),product(a14,a13)) = a110,
    inference(rw,[status(thm)],[c_0_1101,c_0_366]) ).

cnf(c_0_1124,plain,
    a124 = a121,
    inference(rw,[status(thm)],[c_0_1077,c_0_1094]) ).

cnf(c_0_1125,plain,
    product(product(a121,a33),product(a14,a13)) = a119,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_188]),c_0_152]) ).

cnf(c_0_1126,plain,
    product(a118,product(a71,a110)) = product(a108,a82),
    inference(spm,[status(thm)],[c_0_1102,c_0_366]) ).

cnf(c_0_1127,plain,
    product(product(a69,X1),a13) = product(a81,product(X1,a13)),
    inference(rw,[status(thm)],[c_0_1103,c_0_361]) ).

cnf(c_0_1128,plain,
    product(a109,a111) = product(a108,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_406]),c_0_1000]),c_0_1104]) ).

cnf(c_0_1129,plain,
    product(a119,a79) = product(a111,product(a83,a70)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_227]),c_0_217]),c_0_232]) ).

cnf(c_0_1130,plain,
    product(a111,a72) = product(a108,a109),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1105]),c_0_285]) ).

cnf(c_0_1131,plain,
    product(product(a100,a76),product(a76,a77)) = product(a99,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1106]),c_0_571]),c_0_145]),c_0_618]) ).

cnf(c_0_1132,plain,
    product(a124,a77) = product(a114,product(a123,product(a123,a122))),
    inference(rw,[status(thm)],[c_0_1107,c_0_535]) ).

cnf(c_0_1133,plain,
    product(a114,product(a123,product(a123,a122))) = product(a123,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1108,c_0_594]),c_0_676]) ).

cnf(c_0_1134,plain,
    product(a79,a111) = a72,
    inference(rw,[status(thm)],[c_0_1109,c_0_499]) ).

cnf(c_0_1135,plain,
    product(a111,a33) = product(a113,a78),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1110,c_0_217]),c_0_537]) ).

cnf(c_0_1136,plain,
    product(product(a83,X1),product(a118,X1)) = product(a82,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_334]) ).

cnf(c_0_1137,plain,
    product(a118,a71) = product(a108,a83),
    inference(rw,[status(thm)],[c_0_363,c_0_1041]) ).

cnf(c_0_1138,plain,
    product(a73,product(a108,a83)) = product(a71,product(a71,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1111,c_0_371]),c_0_634]),c_0_203]),c_0_371]),c_0_379]),c_0_391]),c_0_379]),c_0_391]) ).

cnf(c_0_1139,plain,
    product(a82,a71) = product(a72,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_499]),c_0_465]) ).

cnf(c_0_1140,plain,
    product(product(a71,a110),a112) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_1112]),c_0_1015]),c_0_361]),c_0_476]),c_0_208]),c_0_463]) ).

cnf(c_0_1141,plain,
    product(a79,product(a108,a82)) = product(a72,product(a71,a119)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1068]),c_0_1113]),c_0_1114]) ).

cnf(c_0_1142,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a66,a76,a77,a78,a99,a121,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a66,a76,a77,a113,a99,a78,a79,a81,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1115,c_0_1116]),c_0_1116]),c_0_1116]),c_0_1116]) ).

cnf(c_0_1143,plain,
    a76 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1117,c_0_987]),c_0_1118]),c_0_147]),c_0_1029]),c_0_1119]),c_0_1120]),c_0_1119]),c_0_1120]) ).

cnf(c_0_1144,plain,
    product(product(a108,a82),product(a71,a119)) = product(a108,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1121,c_0_1113]),c_0_361]),c_0_1122]),c_0_1104]) ).

cnf(c_0_1145,plain,
    a119 = a110,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1124]),c_0_1125]) ).

cnf(c_0_1146,plain,
    product(product(a108,a82),product(a71,a110)) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_1126]) ).

cnf(c_0_1147,plain,
    product(a119,a82) = a109,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_1013]),c_0_361]),c_0_176]),c_0_203]) ).

cnf(c_0_1148,plain,
    product(product(product(a77,a33),product(a124,a33)),product(a14,a13)) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_637]),c_0_1127]),c_0_147]),c_0_371]),c_0_379]),c_0_391]),c_0_145]) ).

cnf(c_0_1149,plain,
    product(product(a68,a33),product(a14,a13)) = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_155]),c_0_154]) ).

cnf(c_0_1150,plain,
    product(a79,product(a108,a119)) = product(a71,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_483]),c_0_1128]) ).

cnf(c_0_1151,plain,
    product(product(a108,a79),product(a108,a109)) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1104]),c_0_145]),c_0_1129]),c_0_361]),c_0_499]),c_0_1130]) ).

cnf(c_0_1152,plain,
    product(a81,a82) = product(a71,a110),
    inference(rw,[status(thm)],[c_0_329,c_0_366]) ).

cnf(c_0_1153,plain,
    product(product(a99,a121),product(a76,a77)) = product(a100,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_1131]) ).

cnf(c_0_1154,plain,
    product(a122,product(a76,a77)) = product(a123,a77),
    inference(spm,[status(thm)],[c_0_218,c_0_728]) ).

cnf(c_0_1155,plain,
    product(product(a123,X1),product(a124,X1)) = product(a114,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_460]) ).

cnf(c_0_1156,plain,
    product(a124,a77) = product(a123,a121),
    inference(rw,[status(thm)],[c_0_1132,c_0_1133]) ).

cnf(c_0_1157,plain,
    product(a120,product(a112,a13)) = product(a111,a13),
    inference(spm,[status(thm)],[c_0_383,c_0_231]) ).

cnf(c_0_1158,plain,
    product(a78,product(a113,a78)) = product(a72,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_1134]),c_0_1135]) ).

cnf(c_0_1159,plain,
    product(a72,a118) = product(a71,product(a71,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1137]),c_0_1036]),c_0_1138]),c_0_1139]) ).

cnf(c_0_1160,plain,
    product(product(a72,X1),a109) = product(a71,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_296]) ).

cnf(c_0_1161,plain,
    product(a73,a71) = a83,
    inference(rw,[status(thm)],[c_0_379,c_0_391]) ).

cnf(c_0_1162,plain,
    product(a72,product(a71,a119)) = product(a71,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1140]),c_0_1044]),c_0_1141]) ).

cnf(c_0_1163,plain,
    product(a74,product(a116,a117)) = product(a82,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_847]),c_0_492]) ).

cnf(c_0_1164,plain,
    product(product(a75,X1),a14) = product(a74,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_257]) ).

cnf(c_0_1165,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a66,a66,a77,a78,a99,a121,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a81,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a66,a66,a77,a113,a99,a78,a79,a81,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1142,c_0_1120]),c_0_1120]),c_0_1143]),c_0_1118]),c_0_1143]),c_0_1118]) ).

cnf(c_0_1166,plain,
    a118 = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1144,c_0_1145]),c_0_1146]),c_0_1145]),c_0_1051]) ).

cnf(c_0_1167,plain,
    a109 = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1147,c_0_1145]),c_0_1034]),c_0_1051]) ).

cnf(c_0_1168,plain,
    a83 = a81,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1148,c_0_1124]),c_0_840]),c_0_1149]),c_0_361]) ).

cnf(c_0_1169,plain,
    product(a112,a119) = a109,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_406]),c_0_1000]) ).

cnf(c_0_1170,plain,
    product(a112,a110) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_1051]) ).

cnf(c_0_1171,plain,
    product(product(a71,a111),a79) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1150]),c_0_145]),c_0_1129]),c_0_361]),c_0_499]),c_0_1130]),c_0_1151]),c_0_559]) ).

cnf(c_0_1172,plain,
    product(product(a119,X1),product(a70,X1)) = product(a118,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_264]) ).

cnf(c_0_1173,plain,
    product(product(a71,a110),a82) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_1152]) ).

cnf(c_0_1174,plain,
    product(a73,a119) = product(a71,a82),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_1026]),c_0_284]) ).

cnf(c_0_1175,plain,
    product(product(X1,a112),product(a79,a112)) = product(product(X1,a111),a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_208]),c_0_145]) ).

cnf(c_0_1176,plain,
    product(product(a100,a76),product(a123,a121)) = product(a99,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_732]),c_0_618]),c_0_145]),c_0_675]),c_0_676]) ).

cnf(c_0_1177,plain,
    product(a100,a76) = product(a123,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153,c_0_796]),c_0_1154]) ).

cnf(c_0_1178,plain,
    product(product(a123,a77),product(a123,a121)) = product(a123,a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_1156]),c_0_588]) ).

cnf(c_0_1179,plain,
    product(product(a111,a32),a14) = product(a123,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_1157]),c_0_145]),c_0_153]),c_0_239]),c_0_452]),c_0_145]),c_0_153]) ).

cnf(c_0_1180,plain,
    product(product(a72,a33),a13) = product(a76,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_1158]),c_0_192]),c_0_557]),c_0_588]),c_0_706]) ).

cnf(c_0_1181,plain,
    product(product(a122,X1),a14) = product(a117,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_171]) ).

cnf(c_0_1182,plain,
    product(a122,a121) = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1009,c_0_738]),c_0_797]) ).

cnf(c_0_1183,plain,
    product(a121,a14) = product(a117,product(a81,a32)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_367]),c_0_158]) ).

cnf(c_0_1184,plain,
    product(product(a82,X1),a109) = product(a81,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_186]) ).

cnf(c_0_1185,plain,
    product(a82,a71) = product(a71,product(a71,a83)),
    inference(rw,[status(thm)],[c_0_1139,c_0_1159]) ).

cnf(c_0_1186,plain,
    product(a83,a109) = product(a71,a82),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1160,c_0_516]),c_0_176]) ).

cnf(c_0_1187,plain,
    product(a72,product(a71,a82)) = product(a71,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1161]),c_0_388]) ).

cnf(c_0_1188,plain,
    product(a73,a79) = product(a71,a112),
    inference(rw,[status(thm)],[c_0_1114,c_0_1162]) ).

cnf(c_0_1189,plain,
    product(a124,a14) = product(a116,a117),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_399]),c_0_171]) ).

cnf(c_0_1190,plain,
    product(a74,product(a110,a32)) = product(a82,a32),
    inference(rw,[status(thm)],[c_0_1163,c_0_508]) ).

cnf(c_0_1191,plain,
    product(product(a77,a68),a14) = product(a74,a116),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_418]),c_0_165]) ).

cnf(c_0_1192,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a110,a112,a73,a112,a110,a74,a82,a81,a66,a66,a77,a78,a99,a121,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a81,a71,a112,a117,a72,a108,a112,a73,a81,a82,a74,a66,a66,a77,a113,a99,a78,a79,a81,a110,a81,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_1145]),c_0_1145]),c_0_1166]),c_0_1167]),c_0_1168]),c_0_1166]),c_0_1167]),c_0_1168]) ).

cnf(c_0_1193,plain,
    a112 = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1169,c_0_1145]),c_0_1170]),c_0_1167]) ).

cnf(c_0_1194,plain,
    product(a83,a112) = product(a71,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1171]),c_0_208]) ).

cnf(c_0_1195,plain,
    product(a118,a112) = product(a111,product(a70,a112)),
    inference(spm,[status(thm)],[c_0_1172,c_0_231]) ).

cnf(c_0_1196,plain,
    product(a81,a112) = product(a71,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1173]),c_0_1034]),c_0_1051]) ).

cnf(c_0_1197,plain,
    product(a111,product(a71,a82)) = product(a108,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_1021]),c_0_1174]) ).

cnf(c_0_1198,plain,
    product(product(X1,a112),product(a73,a70)) = product(product(X1,a111),a79),
    inference(rw,[status(thm)],[c_0_1175,c_0_280]) ).

cnf(c_0_1199,plain,
    product(product(X1,a111),a79) = product(product(X1,a72),a111),
    inference(spm,[status(thm)],[c_0_145,c_0_483]) ).

cnf(c_0_1200,plain,
    product(a83,a111) = product(a71,a72),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1171]),c_0_229]),c_0_361]),c_0_499]) ).

cnf(c_0_1201,plain,
    product(product(a123,X1),a124) = product(a114,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_460]) ).

cnf(c_0_1202,plain,
    product(a76,product(a99,a114)) = product(a77,product(a76,a121)),
    inference(rw,[status(thm)],[c_0_635,c_0_738]) ).

cnf(c_0_1203,plain,
    product(a123,a68) = product(a99,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1176,c_0_1177]),c_0_1178]) ).

cnf(c_0_1204,plain,
    product(product(a123,a68),a14) = product(a111,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_1179]) ).

cnf(c_0_1205,plain,
    product(product(a76,a77),a14) = product(a72,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_1180]),c_0_194]),c_0_153]),c_0_194]) ).

cnf(c_0_1206,plain,
    product(a99,a14) = product(a117,product(a117,product(a81,a32))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1181,c_0_1182]),c_0_1183]) ).

cnf(c_0_1207,plain,
    product(a81,a72) = product(a72,product(a71,a119)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1184,c_0_1185]),c_0_330]),c_0_330]),c_0_1186]),c_0_1187]),c_0_285]) ).

cnf(c_0_1208,plain,
    product(product(a71,a112),a32) = product(a74,product(a77,a14)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_1188]),c_0_507]) ).

cnf(c_0_1209,plain,
    product(product(X1,a122),a14) = product(product(X1,a117),product(a14,a117)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_171]),c_0_145]) ).

cnf(c_0_1210,plain,
    product(a75,a122) = product(a77,product(a76,a121)),
    inference(rw,[status(thm)],[c_0_586,c_0_635]) ).

cnf(c_0_1211,plain,
    product(product(a75,X1),product(a14,X1)) = product(a74,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_257]) ).

cnf(c_0_1212,plain,
    product(product(a76,a121),a14) = product(a82,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_576]),c_0_1189]),c_0_508]),c_0_1190]) ).

cnf(c_0_1213,plain,
    product(product(a77,a68),a14) = product(a71,a32),
    inference(rw,[status(thm)],[c_0_1191,c_0_430]) ).

cnf(c_0_1214,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a110,a108,a73,a108,a110,a74,a82,a81,a66,a66,a77,a78,a99,a121,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a111,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a81,a71,a108,a117,a72,a108,a108,a73,a81,a82,a74,a66,a66,a77,a113,a99,a78,a79,a81,a110,a81,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a111,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1192,c_0_1193]),c_0_1193]),c_0_1193]),c_0_1193]),c_0_1193]),c_0_1193]) ).

cnf(c_0_1215,plain,
    a111 = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_1145]),c_0_203]) ).

cnf(c_0_1216,plain,
    product(product(a71,a79),product(a108,a119)) = a72,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1194]),c_0_1195]),c_0_361]),c_0_1196]),c_0_1197]),c_0_1043]) ).

cnf(c_0_1217,plain,
    product(product(X1,a112),product(a71,a110)) = product(product(X1,a72),a111),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1198,c_0_361]),c_0_316]),c_0_366]),c_0_1199]) ).

cnf(c_0_1218,plain,
    product(product(a71,a72),a111) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_1200]) ).

cnf(c_0_1219,plain,
    product(product(a100,X1),a14) = product(a101,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_639]) ).

cnf(c_0_1220,plain,
    product(a100,product(a77,product(a76,a121))) = product(a99,product(a76,a77)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1201,c_0_739]),c_0_722]),c_0_554]),c_0_738]),c_0_147]),c_0_588]),c_0_1202]),c_0_1203]) ).

cnf(c_0_1221,plain,
    product(product(a117,product(a72,a32)),product(product(a117,product(a72,a32)),product(a74,product(a77,a14)))) = product(a111,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1204,c_0_1203]),c_0_145]),c_0_1205]),c_0_1206]),c_0_145]),c_0_145]),c_0_145]),c_0_1207]),c_0_1162]),c_0_1208]) ).

cnf(c_0_1222,plain,
    product(product(a77,a14),product(a82,a32)) = product(a74,a117),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1209,c_0_1210]),c_0_1211]),c_0_145]),c_0_1212]) ).

cnf(c_0_1223,plain,
    product(product(a76,a124),a14) = product(a71,a32),
    inference(rw,[status(thm)],[c_0_1213,c_0_619]) ).

cnf(c_0_1224,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a81,a71,a72,a110,a108,a73,a108,a110,a74,a82,a81,a66,a66,a77,a78,a99,a121,a79,a81,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a81,a71,a108,a117,a72,a108,a108,a73,a81,a82,a74,a66,a66,a77,a113,a99,a78,a79,a81,a110,a81,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1214,c_0_1215]),c_0_1215]) ).

cnf(c_0_1225,plain,
    a81 = a72,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1216,c_0_1145]),c_0_1051]),c_0_145]),c_0_280]),c_0_361]),c_0_316]),c_0_366]),c_0_1217]),c_0_1218]),c_0_1168]) ).

cnf(c_0_1226,plain,
    product(a101,product(a74,a117)) = product(a111,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_1220]),c_0_145]),c_0_1206]),c_0_1205]),c_0_145]),c_0_145]),c_0_145]),c_0_1207]),c_0_1162]),c_0_1208]),c_0_1221]),c_0_145]),c_0_1212]),c_0_1222]) ).

cnf(c_0_1227,plain,
    product(product(a110,a32),product(a74,a117)) = a117,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_508]),c_0_203]) ).

cnf(c_0_1228,plain,
    product(a110,a32) = product(a101,product(a71,a32)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_740]),c_0_1189]),c_0_508]),c_0_1223]) ).

cnf(c_0_1229,plain,
    product(a77,product(a99,product(a76,a77))) = product(a76,a77),
    inference(rw,[status(thm)],[c_0_706,c_0_1203]) ).

cnf(c_0_1230,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a82,a72,a66,a66,a77,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a82,a74,a66,a66,a77,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1224,c_0_1225]),c_0_1225]),c_0_1225]),c_0_1225]),c_0_1225]),c_0_1225]),c_0_1225]),c_0_1225]) ).

cnf(c_0_1231,plain,
    a82 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_1168]),c_0_465]) ).

cnf(c_0_1232,plain,
    product(product(a111,a32),product(a74,a117)) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_1226]) ).

cnf(c_0_1233,plain,
    product(product(a101,product(a71,a32)),product(a74,a117)) = a117,
    inference(rw,[status(thm)],[c_0_1227,c_0_1228]) ).

cnf(c_0_1234,plain,
    product(product(a76,a99),product(product(a76,a77),a99)) = a77,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_859]),c_0_145]) ).

cnf(c_0_1235,plain,
    product(product(a76,a77),a99) = product(a77,product(a76,a77)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_1229]),c_0_147]) ).

cnf(c_0_1236,plain,
    product(a66,a121) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_576,c_0_1029]),c_0_998]),c_0_1143]) ).

cnf(c_0_1237,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a77,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a101,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a77,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a101,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1230,c_0_1231]),c_0_1231]) ).

cnf(c_0_1238,plain,
    a101 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1232,c_0_1215]),c_0_1228]),c_0_1233]) ).

cnf(c_0_1239,plain,
    product(product(a76,a99),product(a77,product(a76,a77))) = a77,
    inference(rw,[status(thm)],[c_0_1234,c_0_1235]) ).

cnf(c_0_1240,plain,
    a77 = a66,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1236]),c_0_444]) ).

cnf(c_0_1241,plain,
    product(a99,a66) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_809,c_0_1029]),c_0_1095]),c_0_1116]) ).

cnf(c_0_1242,plain,
    product(product(a90,a77),product(a76,product(a77,product(a76,a77)))) = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_961]),c_0_145]),c_0_730]) ).

cnf(c_0_1243,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a77,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a77,a66,a99,a117,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a68,a97,a98,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a77,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a77,a99,a99,a99,a121,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1237,c_0_1238]),c_0_1238]) ).

cnf(c_0_1244,plain,
    a68 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1239,c_0_1143]),c_0_1240]),c_0_1143]),c_0_1240]),c_0_203]),c_0_203]),c_0_216]),c_0_1241]),c_0_1236]),c_0_1240]) ).

cnf(c_0_1245,plain,
    a92 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1242,c_0_1240]),c_0_1118]),c_0_1240]),c_0_203]),c_0_1143]),c_0_1119]),c_0_1120]),c_0_203]),c_0_203]),c_0_203]) ).

cnf(c_0_1246,plain,
    product(a66,a2) = a65,
    inference(spm,[status(thm)],[c_0_147,c_0_743]) ).

cnf(c_0_1247,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a66,a92,a93,a69,a98,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a99,a117,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a92,a66,a97,a98,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a99,a99,a99,a121,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1243,c_0_1240]),c_0_1240]),c_0_1240]),c_0_1240]),c_0_1244]),c_0_1244]) ).

cnf(c_0_1248,plain,
    product(a99,a92) = a98,
    inference(spm,[status(thm)],[c_0_147,c_0_896]) ).

cnf(c_0_1249,plain,
    a65 = a93,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_882,c_0_1245]),c_0_1246]) ).

cnf(c_0_1250,axiom,
    a64 = product(a63,a127),
    knot_64 ).

cnf(c_0_1251,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a66,a66,a93,a69,a98,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a99,a117,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a66,a66,a66,a97,a98,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a99,a99,a99,a121,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1247,c_0_1245]),c_0_1245]) ).

cnf(c_0_1252,plain,
    a98 = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1248,c_0_1245]),c_0_1241]) ).

cnf(c_0_1253,plain,
    a64 = a94,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_767,c_0_1249]),c_0_885]) ).

cnf(c_0_1254,plain,
    a67 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_898,c_0_1245]),c_0_203]) ).

cnf(c_0_1255,plain,
    product(a64,a127) = a63,
    inference(spm,[status(thm)],[c_0_147,c_0_1250]) ).

cnf(c_0_1256,plain,
    product(product(X1,a2),a41) = product(product(X1,a3),product(a41,a3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_854]),c_0_145]) ).

cnf(c_0_1257,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a96,a97,a93,a127,a66,a66,a66,a66,a93,a69,a121,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a99,a117,a121,a125,a94,a95,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a94,a126,a93,a66,a66,a66,a66,a66,a97,a121,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a99,a99,a99,a121,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1251,c_0_1252]),c_0_1252]),c_0_1253]),c_0_1249]),c_0_1254]),c_0_1253]),c_0_1249]),c_0_1254]) ).

cnf(c_0_1258,plain,
    a95 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1255,c_0_1253]),c_0_883]) ).

cnf(c_0_1259,plain,
    product(a42,a2) = a41,
    inference(spm,[status(thm)],[c_0_147,c_0_768]) ).

cnf(c_0_1260,plain,
    product(a41,a3) = product(a42,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1256,c_0_768]),c_0_203]) ).

cnf(c_0_1261,plain,
    product(product(a124,X1),a2) = product(a125,product(X1,a2)),
    inference(spm,[status(thm)],[c_0_145,c_0_944]) ).

cnf(c_0_1262,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a96,a97,a93,a127,a66,a66,a66,a66,a93,a69,a121,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a99,a121,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a99,a117,a121,a125,a94,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a121,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a63,a96,a94,a126,a93,a66,a66,a66,a66,a66,a97,a121,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a99,a99,a99,a121,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a121,a116,a120,a121,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1257,c_0_1258]),c_0_1258]) ).

cnf(c_0_1263,plain,
    a121 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1007,c_0_1120]),c_0_1244]),c_0_203]),c_0_1252]) ).

cnf(c_0_1264,plain,
    product(a121,a66) = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1047,c_0_1095]),c_0_1116]) ).

cnf(c_0_1265,plain,
    product(product(X1,a1),a42) = product(product(X1,a3),product(a42,a41)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1259]),c_0_1256]),c_0_1260]),c_0_791]) ).

cnf(c_0_1266,plain,
    product(a98,a1) = a97,
    inference(spm,[status(thm)],[c_0_147,c_0_850]) ).

cnf(c_0_1267,plain,
    product(a97,a42) = a96,
    inference(spm,[status(thm)],[c_0_147,c_0_819]) ).

cnf(c_0_1268,plain,
    product(product(X1,a2),a41) = product(product(X1,a3),product(a42,a41)),
    inference(rw,[status(thm)],[c_0_1256,c_0_1260]) ).

cnf(c_0_1269,plain,
    product(a125,product(a75,a2)) = product(a123,a2),
    inference(spm,[status(thm)],[c_0_1261,c_0_396]) ).

cnf(c_0_1270,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a96,a97,a93,a127,a66,a66,a66,a66,a93,a69,a66,a99,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a99,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a99,a117,a66,a125,a94,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a99,a99,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a63,a96,a94,a126,a93,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a99,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a99,a99,a99,a66,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a99,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1262,c_0_1263]),c_0_1263]),c_0_1263]),c_0_1263]),c_0_1263]),c_0_1263]),c_0_1263]),c_0_1263]) ).

cnf(c_0_1271,plain,
    a99 = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1264,c_0_1263]),c_0_203]) ).

cnf(c_0_1272,plain,
    product(product(a98,a3),product(a42,a41)) = a96,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1265,c_0_1266]),c_0_1267]) ).

cnf(c_0_1273,plain,
    a98 = a66,
    inference(rw,[status(thm)],[c_0_1252,c_0_1263]) ).

cnf(c_0_1274,plain,
    product(product(a66,a3),product(a42,a41)) = a64,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1268,c_0_1246]),c_0_767]) ).

cnf(c_0_1275,plain,
    product(a99,a2) = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1269,c_0_1029]),c_0_1246]),c_0_943]),c_0_1116]) ).

cnf(c_0_1276,plain,
    product(product(a92,X1),a2) = product(a93,product(X1,a2)),
    inference(spm,[status(thm)],[c_0_145,c_0_882]) ).

cnf(c_0_1277,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a96,a97,a93,a127,a66,a66,a66,a66,a93,a69,a66,a66,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a125,a94,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a63,a96,a94,a126,a93,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a66,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a93,a94,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a66,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1270,c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]),c_0_1271]) ).

cnf(c_0_1278,plain,
    a96 = a94,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1272,c_0_1273]),c_0_1274]),c_0_1253]) ).

cnf(c_0_1279,plain,
    a93 = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1275,c_0_1271]),c_0_1246]),c_0_1249]) ).

cnf(c_0_1280,plain,
    product(a93,a125) = product(a91,a2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1276,c_0_937]),c_0_944]) ).

cnf(c_0_1281,axiom,
    a128 = product(a127,a96),
    knot_128 ).

cnf(c_0_1282,axiom,
    a63 = product(a62,a96),
    knot_63 ).

cnf(c_0_1283,plain,
    product(a119,product(a80,a110)) = product(a111,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_324]),c_0_234]),c_0_230]),c_0_145]),c_0_278]),c_0_287]),c_0_1038]),c_0_277]),c_0_210]) ).

cnf(c_0_1284,plain,
    product(a111,a81) = a108,
    inference(rw,[status(thm)],[c_0_276,c_0_361]) ).

cnf(c_0_1285,plain,
    product(a72,a119) = product(a71,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_499]),c_0_367]),c_0_344]),c_0_349]),c_0_366]),c_0_407]) ).

cnf(c_0_1286,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a94,a97,a126,a127,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a125,a94,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a63,a94,a94,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a66,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a94,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a66,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1277,c_0_1278]),c_0_1278]),c_0_1279]),c_0_1279]),c_0_1279]),c_0_1279]) ).

cnf(c_0_1287,plain,
    a127 = a94,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_885,c_0_1279]),c_0_884]) ).

cnf(c_0_1288,plain,
    product(product(a126,X1),product(a65,X1)) = product(a125,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_965]) ).

cnf(c_0_1289,plain,
    product(a126,a125) = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1280,c_0_1120]),c_0_1246]),c_0_1279]),c_0_1249]),c_0_1279]) ).

cnf(c_0_1290,plain,
    product(product(X1,a127),a96) = product(product(X1,a128),product(a96,a128)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1281]),c_0_145]) ).

cnf(c_0_1291,plain,
    product(a63,a96) = a62,
    inference(spm,[status(thm)],[c_0_147,c_0_1282]) ).

cnf(c_0_1292,plain,
    product(a111,product(a119,a111)) = product(a110,a111),
    inference(spm,[status(thm)],[c_0_216,c_0_235]) ).

cnf(c_0_1293,plain,
    product(a119,product(a71,a73)) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1283,c_0_406]),c_0_406]),c_0_407]),c_0_1284]) ).

cnf(c_0_1294,plain,
    product(product(a71,a73),a119) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_1285]) ).

cnf(c_0_1295,plain,
    product(a116,a14) = a121,
    inference(rw,[status(thm)],[c_0_170,c_0_1094]) ).

cnf(c_0_1296,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a94,a97,a126,a94,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a125,a94,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a94,a128,a50,a54,a63,a63,a94,a94,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a66,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a94,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a66,a125,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1286,c_0_1287]),c_0_1287]) ).

cnf(c_0_1297,plain,
    a125 = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1288,c_0_1289]),c_0_1249]),c_0_1279]),c_0_1289]),c_0_203]),c_0_203]) ).

cnf(c_0_1298,plain,
    a94 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_852,c_0_1253]),c_0_1278]),c_0_203]),c_0_1258]) ).

cnf(c_0_1299,plain,
    product(product(a64,a128),product(a96,a128)) = a62,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1290,c_0_1255]),c_0_1291]) ).

cnf(c_0_1300,plain,
    product(a111,product(a110,a112)) = product(a110,a111),
    inference(rw,[status(thm)],[c_0_1292,c_0_236]) ).

cnf(c_0_1301,plain,
    product(product(a119,X1),a112) = product(a111,product(X1,a112)),
    inference(spm,[status(thm)],[c_0_189,c_0_227]) ).

cnf(c_0_1302,plain,
    product(a119,a72) = product(a108,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1293]),c_0_1294]) ).

cnf(c_0_1303,plain,
    product(a116,a14) = a66,
    inference(rw,[status(thm)],[c_0_1295,c_0_1263]) ).

cnf(c_0_1304,plain,
    product(a66,a14) = a74,
    inference(rw,[status(thm)],[c_0_257,c_0_1029]) ).

cnf(c_0_1305,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a94,a94,a97,a126,a94,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a94,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a94,a128,a50,a54,a63,a63,a94,a94,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a66,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a94,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1296,c_0_1297]),c_0_1297]) ).

cnf(c_0_1306,plain,
    a64 = a63,
    inference(rw,[status(thm)],[c_0_1253,c_0_1298]) ).

cnf(c_0_1307,plain,
    product(product(a63,X1),product(a96,X1)) = product(a62,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1291]) ).

cnf(c_0_1308,plain,
    product(a62,a128) = product(a64,a96),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1299]),c_0_147]) ).

cnf(c_0_1309,plain,
    product(a123,a14) = product(a117,a116),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_171]),c_0_165]) ).

cnf(c_0_1310,plain,
    product(product(a71,a112),product(a71,a110)) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1194]),c_0_145]),c_0_280]),c_0_361]),c_0_316]),c_0_366]) ).

cnf(c_0_1311,plain,
    product(a111,product(a108,a82)) = product(a110,a111),
    inference(rw,[status(thm)],[c_0_1300,c_0_1044]) ).

cnf(c_0_1312,plain,
    product(product(a108,a82),a79) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_1113]) ).

cnf(c_0_1313,plain,
    product(product(a108,a111),product(a108,a109)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1301,c_0_1302]),c_0_1027]),c_0_1020]),c_0_145]),c_0_231]),c_0_145]),c_0_232]),c_0_361]),c_0_499]),c_0_1130]) ).

cnf(c_0_1314,plain,
    product(product(a108,a111),product(a109,a111)) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1130]),c_0_483]),c_0_208]),c_0_145]) ).

cnf(c_0_1315,plain,
    product(a79,product(a71,a119)) = product(a71,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_473]),c_0_1122]) ).

cnf(c_0_1316,plain,
    a74 = a116,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1303]),c_0_1304]) ).

cnf(c_0_1317,plain,
    product(a108,a72) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_1145]),c_0_1166]),c_0_1193]),c_0_1225]) ).

cnf(c_0_1318,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a66,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1305,c_0_1298]),c_0_1298]),c_0_1298]),c_0_1298]),c_0_1298]),c_0_1298]),c_0_1298]),c_0_1298]) ).

cnf(c_0_1319,plain,
    a62 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1299,c_0_1306]),c_0_1307]),c_0_1308]),c_0_1253]),c_0_1298]),c_0_1278]),c_0_1298]),c_0_203]) ).

cnf(c_0_1320,plain,
    product(a117,a116) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_639,c_0_1095]),c_0_1309]),c_0_1238]) ).

cnf(c_0_1321,plain,
    product(a83,product(a71,a110)) = product(a71,a112),
    inference(spm,[status(thm)],[c_0_147,c_0_1310]) ).

cnf(c_0_1322,plain,
    product(product(a71,a72),product(a108,a82)) = a81,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1196]),c_0_145]),c_0_1043]),c_0_145]),c_0_1060]) ).

cnf(c_0_1323,plain,
    product(product(a110,a111),a79) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_1311]),c_0_1312]),c_0_1067]) ).

cnf(c_0_1324,plain,
    product(a118,a111) = product(a108,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1313]),c_0_145]),c_0_1314]) ).

cnf(c_0_1325,plain,
    product(a73,a111) = product(a71,a79),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_483]),c_0_375]),c_0_388]),c_0_1315]) ).

cnf(c_0_1326,plain,
    product(a73,a110) = a71,
    inference(rw,[status(thm)],[c_0_1022,c_0_1231]) ).

cnf(c_0_1327,plain,
    a110 = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_1316]),c_0_273]),c_0_1193]),c_0_361]),c_0_1225]),c_0_1317]) ).

cnf(c_0_1328,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a110,a108,a73,a108,a110,a74,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a108,a110,a108,a113,a116,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a74,a66,a66,a66,a113,a66,a78,a79,a72,a110,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a110,a110,a108,a66,a116,a120,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1318,c_0_1319]),c_0_1319]) ).

cnf(c_0_1329,plain,
    a116 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_1316]),c_0_1320]) ).

cnf(c_0_1330,plain,
    product(a73,a109) = a79,
    inference(rw,[status(thm)],[c_0_343,c_0_476]) ).

cnf(c_0_1331,plain,
    product(product(a71,a112),product(a108,a82)) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1321]),c_0_1126]),c_0_1055]) ).

cnf(c_0_1332,plain,
    product(a81,product(a108,a82)) = product(a71,a72),
    inference(spm,[status(thm)],[c_0_147,c_0_1322]) ).

cnf(c_0_1333,plain,
    product(a79,product(a71,a110)) = a82,
    inference(spm,[status(thm)],[c_0_147,c_0_1055]) ).

cnf(c_0_1334,plain,
    product(a110,a72) = product(a108,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1323]),c_0_1324]),c_0_229]),c_0_361]),c_0_499]) ).

cnf(c_0_1335,plain,
    product(product(a71,a72),product(a108,a109)) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1325]),c_0_145]),c_0_229]),c_0_361]),c_0_499]),c_0_145]),c_0_1130]) ).

cnf(c_0_1336,plain,
    product(product(X1,a72),product(a109,a72)) = product(product(X1,a71),a109),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_285]),c_0_145]) ).

cnf(c_0_1337,plain,
    product(a108,a110) = a108,
    inference(rw,[status(thm)],[c_0_1051,c_0_1193]) ).

cnf(c_0_1338,plain,
    a73 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1326,c_0_1327]),c_0_203]) ).

cnf(c_0_1339,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a73,a108,a73,a108,a73,a117,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a108,a73,a108,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a73,a72,a71,a117,a66,a66,a66,a113,a66,a78,a79,a72,a73,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a73,a73,a108,a66,a117,a120,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1328,c_0_1316]),c_0_1316]),c_0_1327]),c_0_1327]),c_0_1329]),c_0_1327]),c_0_1329]),c_0_1329]),c_0_1327]),c_0_1327]),c_0_1327]),c_0_1329]) ).

cnf(c_0_1340,plain,
    product(a79,a110) = a72,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_559,c_0_1168]),c_0_1225]) ).

cnf(c_0_1341,plain,
    product(a79,a73) = product(a71,product(a71,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1330]),c_0_908]),c_0_371]),c_0_379]),c_0_391]),c_0_1138]) ).

cnf(c_0_1342,plain,
    product(a71,a72) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1331,c_0_1193]),c_0_391]),c_0_1168]),c_0_1332]) ).

cnf(c_0_1343,plain,
    product(a71,a79) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1315,c_0_1145]),c_0_1333]),c_0_1231]) ).

cnf(c_0_1344,plain,
    product(a110,a72) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1334,c_0_1193]),c_0_203]) ).

cnf(c_0_1345,plain,
    product(a73,a72) = product(a71,a111),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1335]),c_0_145]),c_0_1336]),c_0_1105]) ).

cnf(c_0_1346,plain,
    product(a71,a73) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_1145]),c_0_407]) ).

cnf(c_0_1347,plain,
    a108 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1337,c_0_1327]),c_0_366]),c_0_1327]),c_0_1338]) ).

cnf(c_0_1348,plain,
    product(a41,a14) = a40,
    inference(spm,[status(thm)],[c_0_147,c_0_976]) ).

cnf(c_0_1349,plain,
    product(a89,a14) = a88,
    inference(spm,[status(thm)],[c_0_147,c_0_959]) ).

cnf(c_0_1350,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a72,a71,a72,a71,a108,a71,a108,a71,a117,a71,a72,a66,a66,a66,a78,a66,a66,a79,a72,a72,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a108,a71,a108,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a72,a71,a108,a117,a72,a108,a108,a71,a72,a71,a117,a66,a66,a66,a113,a66,a78,a79,a72,a71,a72,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a71,a71,a108,a66,a117,a120,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1339,c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]) ).

cnf(c_0_1351,plain,
    a72 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1340,c_0_1327]),c_0_1341]),c_0_1168]),c_0_1225]),c_0_1342]),c_0_1343]) ).

cnf(c_0_1352,plain,
    a79 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1344,c_0_1327]),c_0_1345]),c_0_1215]),c_0_1327]),c_0_1346]),c_0_1347]) ).

cnf(c_0_1353,plain,
    product(a66,a32) = a69,
    inference(rw,[status(thm)],[c_0_155,c_0_1244]) ).

cnf(c_0_1354,plain,
    product(a113,a13) = a99,
    inference(rw,[status(thm)],[c_0_182,c_0_1062]) ).

cnf(c_0_1355,plain,
    product(product(X1,a41),a14) = product(product(X1,a40),product(a14,a40)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1348]),c_0_145]) ).

cnf(c_0_1356,plain,
    product(a89,a41) = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_977,c_0_1118]),c_0_1240]) ).

cnf(c_0_1357,plain,
    product(product(a89,X1),product(a14,X1)) = product(a88,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1349]) ).

cnf(c_0_1358,plain,
    product(a118,product(a108,product(a81,a118))) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_231]),c_0_276]),c_0_283]) ).

cnf(c_0_1359,plain,
    product(product(X1,a82),a118) = product(product(X1,a83),product(a118,a83)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_197]),c_0_145]) ).

cnf(c_0_1360,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a78,a66,a66,a71,a71,a71,a120,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a78,a71,a71,a71,a71,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a71,a71,a71,a66,a117,a120,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1350,c_0_1347]),c_0_1347]),c_0_1347]),c_0_1347]),c_0_1347]),c_0_1347]),c_0_1347]),c_0_1347]),c_0_1351]),c_0_1351]),c_0_1351]),c_0_1352]),c_0_1351]),c_0_1351]),c_0_1351]),c_0_1351]),c_0_1351]),c_0_1352]),c_0_1351]),c_0_1351]) ).

cnf(c_0_1361,plain,
    a120 = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_1263]),c_0_1353]) ).

cnf(c_0_1362,plain,
    product(a113,a13) = a66,
    inference(rw,[status(thm)],[c_0_1354,c_0_1271]) ).

cnf(c_0_1363,plain,
    product(a66,a13) = a78,
    inference(rw,[status(thm)],[c_0_195,c_0_1240]) ).

cnf(c_0_1364,plain,
    product(a128,a96) = a127,
    inference(spm,[status(thm)],[c_0_147,c_0_1281]) ).

cnf(c_0_1365,plain,
    product(a88,a40) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1355,c_0_1356]),c_0_1304]),c_0_1357]),c_0_1316]),c_0_1329]) ).

cnf(c_0_1366,plain,
    product(a117,a40) = a102,
    inference(rw,[status(thm)],[c_0_626,c_0_1238]) ).

cnf(c_0_1367,plain,
    product(a118,product(a108,a71)) = a108,
    inference(spm,[status(thm)],[c_0_1358,c_0_465]) ).

cnf(c_0_1368,plain,
    product(a118,a108) = product(a108,product(a108,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_327]),c_0_333]),c_0_1359]),c_0_627]),c_0_252]) ).

cnf(c_0_1369,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a78,a66,a66,a71,a71,a71,a69,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a78,a71,a71,a71,a71,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a71,a71,a71,a66,a117,a69,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1360,c_0_1361]),c_0_1361]) ).

cnf(c_0_1370,plain,
    a78 = a113,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1362]),c_0_1363]) ).

cnf(c_0_1371,plain,
    product(a128,a63) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1364,c_0_1278]),c_0_1298]),c_0_1287]),c_0_1298]) ).

cnf(c_0_1372,plain,
    a102 = a88,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1365]),c_0_1366]) ).

cnf(c_0_1373,plain,
    product(a88,a4) = a87,
    inference(spm,[status(thm)],[c_0_147,c_0_843]) ).

cnf(c_0_1374,plain,
    product(product(X1,a32),a39) = product(product(X1,a31),product(a39,a31)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_584]),c_0_145]) ).

cnf(c_0_1375,plain,
    product(a101,a32) = product(a108,product(a108,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_659]),c_0_258]),c_0_273]),c_0_361]),c_0_410]),c_0_1367]),c_0_1368]) ).

cnf(c_0_1376,plain,
    product(product(a117,X1),product(a32,X1)) = product(a118,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_150]) ).

cnf(c_0_1377,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a128,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a128,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a71,a71,a71,a66,a117,a69,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1369,c_0_1370]),c_0_1370]) ).

cnf(c_0_1378,plain,
    a128 = a63,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1371]),c_0_203]) ).

cnf(c_0_1379,plain,
    a87 = a103,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_606,c_0_1372]),c_0_1373]) ).

cnf(c_0_1380,plain,
    product(product(a101,a31),product(a39,a31)) = product(a107,a106),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1374,c_0_1375]),c_0_563]),c_0_563]),c_0_525]),c_0_547]) ).

cnf(c_0_1381,plain,
    product(product(a117,a31),product(a39,a31)) = product(a118,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1376,c_0_584]),c_0_145]) ).

cnf(c_0_1382,axiom,
    a129 = product(a128,a62),
    knot_129 ).

cnf(c_0_1383,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a102,a103,a106,a107,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a102,a105,a106,a107,a71,a71,a71,a66,a117,a69,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1377,c_0_1378]),c_0_1378]) ).

cnf(c_0_1384,plain,
    product(product(a104,a31),product(a5,a31)) = a106,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_501]),c_0_500]) ).

cnf(c_0_1385,plain,
    a104 = a103,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_1379]),c_0_203]) ).

cnf(c_0_1386,plain,
    product(product(a103,a31),product(a5,a31)) = product(a107,a106),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_603]),c_0_147]),c_0_145]) ).

cnf(c_0_1387,plain,
    product(a107,a106) = a107,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1380,c_0_1238]),c_0_1381]),c_0_1166]),c_0_1193]),c_0_544]) ).

cnf(c_0_1388,plain,
    product(a129,a62) = a128,
    inference(spm,[status(thm)],[c_0_147,c_0_1382]) ).

cnf(c_0_1389,axiom,
    a44 = product(a43,a128),
    knot_44 ).

cnf(c_0_1390,axiom,
    a43 = product(a42,a62),
    knot_43 ).

cnf(c_0_1391,plain,
    product(product(a73,X1),product(a32,X1)) = product(a74,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_249]) ).

cnf(c_0_1392,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a84,a85,a86,a87,a88,a104,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a103,a106,a107,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a84,a85,a86,a87,a103,a104,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a105,a106,a107,a71,a71,a71,a66,a117,a69,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1383,c_0_1372]),c_0_1372]) ).

cnf(c_0_1393,plain,
    a107 = a106,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1384,c_0_1385]),c_0_1386]),c_0_1387]) ).

cnf(c_0_1394,plain,
    product(a129,a63) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1388,c_0_1319]),c_0_1378]) ).

cnf(c_0_1395,plain,
    product(product(X1,a128),a62) = product(product(X1,a129),product(a62,a129)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1382]),c_0_145]) ).

cnf(c_0_1396,plain,
    product(a44,a128) = a43,
    inference(spm,[status(thm)],[c_0_147,c_0_1389]) ).

cnf(c_0_1397,plain,
    product(a43,a62) = a42,
    inference(spm,[status(thm)],[c_0_147,c_0_1390]) ).

cnf(c_0_1398,plain,
    product(a110,a39) = product(a107,product(a73,a39)),
    inference(spm,[status(thm)],[c_0_563,c_0_366]) ).

cnf(c_0_1399,plain,
    product(a84,a107) = product(a71,a39),
    inference(rw,[status(thm)],[c_0_565,c_0_465]) ).

cnf(c_0_1400,plain,
    product(a84,product(a84,a107)) = product(a73,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_1023]),c_0_565]) ).

cnf(c_0_1401,plain,
    product(product(a73,a31),product(a39,a31)) = product(a74,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1391,c_0_584]),c_0_145]) ).

cnf(c_0_1402,plain,
    product(product(X1,a87),a4) = product(product(X1,a88),product(a4,a88)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_843]),c_0_145]) ).

cnf(c_0_1403,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a129,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a84,a85,a86,a103,a88,a103,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a103,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a84,a85,a86,a103,a103,a103,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a105,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a129),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1392,c_0_1379]),c_0_1379]),c_0_1385]),c_0_1393]),c_0_1385]),c_0_1393]) ).

cnf(c_0_1404,plain,
    a129 = a63,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1394]),c_0_203]) ).

cnf(c_0_1405,plain,
    product(product(a44,a129),product(a62,a129)) = a42,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1395,c_0_1396]),c_0_1397]) ).

cnf(c_0_1406,plain,
    product(a84,product(a107,product(a73,a39))) = product(a79,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_538]),c_0_1398]) ).

cnf(c_0_1407,plain,
    product(a107,product(a71,a39)) = product(a106,a107),
    inference(rw,[status(thm)],[c_0_566,c_0_1399]) ).

cnf(c_0_1408,plain,
    product(a84,product(a71,a39)) = product(a73,a39),
    inference(rw,[status(thm)],[c_0_1400,c_0_1399]) ).

cnf(c_0_1409,plain,
    product(product(a74,a31),product(a39,a31)) = product(a73,a39),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1401]),c_0_147]),c_0_145]) ).

cnf(c_0_1410,plain,
    product(product(a104,a88),product(a4,a88)) = a102,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1402,c_0_521]),c_0_625]) ).

cnf(c_0_1411,axiom,
    a130 = product(a129,a1),
    knot_130 ).

cnf(c_0_1412,axiom,
    a62 = product(a61,a1),
    knot_62 ).

cnf(c_0_1413,negated_conjecture,
    tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a84,a85,a86,a103,a88,a103,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a103,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a84,a85,a86,a103,a103,a103,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a105,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1403,c_0_1404]),c_0_1404]) ).

cnf(c_0_1414,plain,
    a42 = a44,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1405,c_0_1404]),c_0_1319]),c_0_203]),c_0_147]) ).

cnf(c_0_1415,plain,
    product(product(a79,a39),product(a107,product(a73,a39))) = a84,
    inference(spm,[status(thm)],[c_0_147,c_0_1406]) ).

cnf(c_0_1416,plain,
    product(product(a71,a39),product(a106,a107)) = product(a73,a39),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_1399]),c_0_1407]),c_0_1408]) ).

cnf(c_0_1417,plain,
    product(a71,a39) = a106,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1409,c_0_1316]),c_0_1329]),c_0_1381]),c_0_1166]),c_0_1193]),c_0_544]),c_0_1338]),c_0_1393]) ).

cnf(c_0_1418,plain,
    product(a88,product(a104,a4)) = product(a86,a4),
    inference(spm,[status(thm)],[c_0_871,c_0_540]) ).

cnf(c_0_1419,plain,
    product(a104,a4) = product(a102,a88),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1410]),c_0_147]) ).

cnf(c_0_1420,plain,
    product(a130,a1) = a129,
    inference(spm,[status(thm)],[c_0_147,c_0_1411]) ).

cnf(c_0_1421,plain,
    product(a62,a1) = a61,
    inference(spm,[status(thm)],[c_0_147,c_0_1412]) ).

cnf(c_0_1422,axiom,
    a132 = product(a131,a138),
    knot_132 ).

cnf(c_0_1423,axiom,
    a60 = product(a59,a131),
    knot_60 ).

cnf(c_0_1424,axiom,
    a59 = product(a58,a138),
    knot_59 ).

cnf(c_0_1425,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a84,a85,a86,a103,a88,a103,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a103,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a84,a85,a86,a103,a103,a103,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a105,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1413,c_0_1414]),c_0_1414]) ).

cnf(c_0_1426,plain,
    a84 = a106,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1415,c_0_1352]),c_0_1338]),c_0_1407]),c_0_1416]),c_0_1338]),c_0_1417]) ).

cnf(c_0_1427,plain,
    product(a106,a5) = a105,
    inference(spm,[status(thm)],[c_0_147,c_0_500]) ).

cnf(c_0_1428,plain,
    product(a88,product(a102,a88)) = product(a86,a4),
    inference(rw,[status(thm)],[c_0_1418,c_0_1419]) ).

cnf(c_0_1429,axiom,
    a61 = product(a60,a13),
    knot_61 ).

cnf(c_0_1430,plain,
    product(a130,a1) = a63,
    inference(rw,[status(thm)],[c_0_1420,c_0_1404]) ).

cnf(c_0_1431,plain,
    product(a63,a1) = a61,
    inference(rw,[status(thm)],[c_0_1421,c_0_1319]) ).

cnf(c_0_1432,plain,
    product(product(X1,a131),a138) = product(product(X1,a132),product(a138,a132)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1422]),c_0_145]) ).

cnf(c_0_1433,plain,
    product(a60,a131) = a59,
    inference(spm,[status(thm)],[c_0_147,c_0_1423]) ).

cnf(c_0_1434,plain,
    product(a59,a138) = a58,
    inference(spm,[status(thm)],[c_0_147,c_0_1424]) ).

cnf(c_0_1435,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a103,a88,a103,a105,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a103,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a103,a103,a103,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a105,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1425,c_0_1426]),c_0_1426]) ).

cnf(c_0_1436,plain,
    a105 = a85,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_1426]),c_0_1427]) ).

cnf(c_0_1437,plain,
    product(a86,a4) = a88,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_1372]),c_0_203]),c_0_203]) ).

cnf(c_0_1438,axiom,
    a34 = product(a33,a131),
    knot_34 ).

cnf(c_0_1439,plain,
    product(a61,a13) = a60,
    inference(spm,[status(thm)],[c_0_147,c_0_1429]) ).

cnf(c_0_1440,plain,
    a61 = a130,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1430]),c_0_1431]) ).

cnf(c_0_1441,axiom,
    a131 = product(a130,a13),
    knot_131 ).

cnf(c_0_1442,axiom,
    a51 = product(a50,a59),
    knot_51 ).

cnf(c_0_1443,axiom,
    a50 = product(a49,a131),
    knot_50 ).

cnf(c_0_1444,plain,
    product(product(a60,a132),product(a138,a132)) = a58,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1433]),c_0_1434]) ).

cnf(c_0_1445,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a103,a88,a103,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a103,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a103,a103,a103,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1435,c_0_1436]),c_0_1436]) ).

cnf(c_0_1446,plain,
    a103 = a86,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1437]),c_0_1373]),c_0_1379]) ).

cnf(c_0_1447,plain,
    product(a34,a131) = a33,
    inference(spm,[status(thm)],[c_0_147,c_0_1438]) ).

cnf(c_0_1448,plain,
    a131 = a60,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1439,c_0_1440]),c_0_1441]) ).

cnf(c_0_1449,axiom,
    a35 = product(a34,a60),
    knot_35 ).

cnf(c_0_1450,plain,
    product(product(X1,a59),a131) = product(product(X1,a60),product(a131,a60)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1423]),c_0_145]) ).

cnf(c_0_1451,plain,
    product(a51,a59) = a50,
    inference(spm,[status(thm)],[c_0_147,c_0_1442]) ).

cnf(c_0_1452,plain,
    product(a50,a131) = a49,
    inference(spm,[status(thm)],[c_0_147,c_0_1443]) ).

cnf(c_0_1453,axiom,
    a133 = product(a132,a58),
    knot_133 ).

cnf(c_0_1454,plain,
    product(a58,a132) = product(a60,a138),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1444]),c_0_147]) ).

cnf(c_0_1455,axiom,
    a19 = product(a18,a58),
    knot_19 ).

cnf(c_0_1456,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1445,c_0_1446]),c_0_1446]),c_0_1446]),c_0_1446]),c_0_1446]),c_0_1446]) ).

cnf(c_0_1457,plain,
    a33 = a35,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1447,c_0_1448]),c_0_1449]) ).

cnf(c_0_1458,plain,
    a59 = a60,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1433,c_0_1448]),c_0_203]) ).

cnf(c_0_1459,plain,
    product(product(a51,a60),product(a131,a60)) = a49,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_1451]),c_0_1452]) ).

cnf(c_0_1460,plain,
    product(a132,product(a60,a138)) = product(a133,a132),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1453]),c_0_1454]) ).

cnf(c_0_1461,plain,
    product(a133,a58) = a132,
    inference(spm,[status(thm)],[c_0_147,c_0_1453]) ).

cnf(c_0_1462,plain,
    product(a19,a58) = a18,
    inference(spm,[status(thm)],[c_0_147,c_0_1455]) ).

cnf(c_0_1463,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a133,a20,a60,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1456,c_0_1440]),c_0_1440]),c_0_1457]),c_0_1458]),c_0_1448]),c_0_1457]),c_0_1448]),c_0_1458]) ).

cnf(c_0_1464,plain,
    a49 = a51,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1448]),c_0_203]),c_0_147]) ).

cnf(c_0_1465,plain,
    product(product(a133,a132),product(a60,a138)) = a132,
    inference(spm,[status(thm)],[c_0_147,c_0_1460]) ).

cnf(c_0_1466,plain,
    product(a60,a138) = a132,
    inference(rw,[status(thm)],[c_0_1422,c_0_1448]) ).

cnf(c_0_1467,plain,
    product(product(X1,a133),a58) = product(product(X1,a132),product(a60,a138)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1461]),c_0_145]),c_0_1454]) ).

cnf(c_0_1468,plain,
    product(product(a19,X1),a58) = product(a18,product(X1,a58)),
    inference(spm,[status(thm)],[c_0_145,c_0_1462]) ).

cnf(c_0_1469,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a133,a20,a60,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1463,c_0_1464]),c_0_1464]) ).

cnf(c_0_1470,plain,
    a133 = a132,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1465,c_0_1466]),c_0_147]) ).

cnf(c_0_1471,axiom,
    a18 = product(a17,a133),
    knot_18 ).

cnf(c_0_1472,plain,
    product(product(a19,a132),product(a60,a138)) = product(a18,a132),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1467,c_0_1468]),c_0_1461]) ).

cnf(c_0_1473,axiom,
    a56 = product(a55,a37),
    knot_56 ).

cnf(c_0_1474,axiom,
    a55 = product(a54,a135),
    knot_55 ).

cnf(c_0_1475,axiom,
    a135 = product(a134,a37),
    knot_135 ).

cnf(c_0_1476,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a132,a20,a60,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a132,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1469,c_0_1470]),c_0_1470]) ).

cnf(c_0_1477,plain,
    a58 = a132,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1434,c_0_1458]),c_0_1466]) ).

cnf(c_0_1478,plain,
    product(a18,a133) = a17,
    inference(spm,[status(thm)],[c_0_147,c_0_1471]) ).

cnf(c_0_1479,plain,
    product(a18,a132) = a19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1472,c_0_1466]),c_0_147]) ).

cnf(c_0_1480,axiom,
    a58 = product(a57,a26),
    knot_58 ).

cnf(c_0_1481,axiom,
    a134 = product(a133,a26),
    knot_134 ).

cnf(c_0_1482,plain,
    product(product(a55,X1),a37) = product(a56,product(X1,a37)),
    inference(spm,[status(thm)],[c_0_145,c_0_1473]) ).

cnf(c_0_1483,plain,
    product(a55,a135) = a54,
    inference(spm,[status(thm)],[c_0_147,c_0_1474]) ).

cnf(c_0_1484,plain,
    product(a135,a37) = a134,
    inference(spm,[status(thm)],[c_0_147,c_0_1475]) ).

cnf(c_0_1485,axiom,
    a57 = product(a56,a134),
    knot_57 ).

cnf(c_0_1486,axiom,
    a136 = product(a135,a29),
    knot_136 ).

cnf(c_0_1487,axiom,
    a53 = product(a52,a136),
    knot_53 ).

cnf(c_0_1488,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a132,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1476,c_0_1477]),c_0_1477]) ).

cnf(c_0_1489,plain,
    a17 = a19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1478,c_0_1470]),c_0_1479]) ).

cnf(c_0_1490,plain,
    product(a58,a26) = a57,
    inference(spm,[status(thm)],[c_0_147,c_0_1480]) ).

cnf(c_0_1491,plain,
    product(a132,a26) = a134,
    inference(rw,[status(thm)],[c_0_1481,c_0_1470]) ).

cnf(c_0_1492,plain,
    product(a54,a37) = a57,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1482,c_0_1483]),c_0_1484]),c_0_1485]) ).

cnf(c_0_1493,plain,
    product(product(X1,a136),product(a29,a136)) = product(product(X1,a135),a29),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1486]),c_0_145]) ).

cnf(c_0_1494,plain,
    product(a53,a136) = a52,
    inference(spm,[status(thm)],[c_0_147,c_0_1487]) ).

cnf(c_0_1495,axiom,
    a54 = product(a53,a29),
    knot_54 ).

cnf(c_0_1496,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a19,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a19,a9,a55,a56,a10,a132,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1488,c_0_1489]),c_0_1489]) ).

cnf(c_0_1497,plain,
    a134 = a57,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1490,c_0_1477]),c_0_1491]) ).

cnf(c_0_1498,plain,
    product(a57,a134) = a56,
    inference(spm,[status(thm)],[c_0_147,c_0_1485]) ).

cnf(c_0_1499,plain,
    product(a57,a37) = a54,
    inference(spm,[status(thm)],[c_0_147,c_0_1492]) ).

cnf(c_0_1500,plain,
    product(product(a53,a135),a29) = product(a52,product(a29,a136)),
    inference(spm,[status(thm)],[c_0_1493,c_0_1494]) ).

cnf(c_0_1501,plain,
    product(product(a53,X1),a29) = product(a54,product(X1,a29)),
    inference(spm,[status(thm)],[c_0_145,c_0_1495]) ).

cnf(c_0_1502,plain,
    product(product(a133,X1),a26) = product(a134,product(X1,a26)),
    inference(spm,[status(thm)],[c_0_145,c_0_1481]) ).

cnf(c_0_1503,axiom,
    a10 = product(a9,a134),
    knot_10 ).

cnf(c_0_1504,axiom,
    a52 = product(a51,a39),
    knot_52 ).

cnf(c_0_1505,axiom,
    a138 = product(a137,a51),
    knot_138 ).

cnf(c_0_1506,axiom,
    a137 = product(a136,a39),
    knot_137 ).

cnf(c_0_1507,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a19,a18,a10,a56,a57,a11,a57,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a19,a9,a55,a56,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1496,c_0_1497]),c_0_1497]) ).

cnf(c_0_1508,plain,
    a56 = a57,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1498,c_0_1497]),c_0_203]) ).

cnf(c_0_1509,plain,
    a135 = a54,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1475,c_0_1497]),c_0_1499]) ).

cnf(c_0_1510,plain,
    product(a54,a29) = a53,
    inference(spm,[status(thm)],[c_0_147,c_0_1495]) ).

cnf(c_0_1511,plain,
    product(a56,a37) = a55,
    inference(spm,[status(thm)],[c_0_147,c_0_1473]) ).

cnf(c_0_1512,plain,
    product(a52,product(a29,a136)) = product(a54,a136),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1500,c_0_1501]),c_0_1486]) ).

cnf(c_0_1513,plain,
    product(product(X1,a56),a134) = product(product(X1,a57),product(a134,a57)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1485]),c_0_145]) ).

cnf(c_0_1514,plain,
    product(a134,a57) = product(a132,a26),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_1461]),c_0_1490]) ).

cnf(c_0_1515,plain,
    product(a10,a134) = a9,
    inference(spm,[status(thm)],[c_0_147,c_0_1503]) ).

cnf(c_0_1516,axiom,
    a49 = product(a48,a138),
    knot_49 ).

cnf(c_0_1517,plain,
    product(product(X1,a51),a39) = product(product(X1,a52),product(a39,a52)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1504]),c_0_145]) ).

cnf(c_0_1518,plain,
    product(a138,a51) = a137,
    inference(spm,[status(thm)],[c_0_147,c_0_1505]) ).

cnf(c_0_1519,plain,
    product(a137,a39) = a136,
    inference(spm,[status(thm)],[c_0_147,c_0_1506]) ).

cnf(c_0_1520,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a19,a18,a10,a57,a57,a11,a57,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a54,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1507,c_0_1508]),c_0_1508]) ).

cnf(c_0_1521,plain,
    a136 = a53,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1486,c_0_1509]),c_0_1510]) ).

cnf(c_0_1522,plain,
    a54 = a55,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1511,c_0_1508]),c_0_1499]) ).

cnf(c_0_1523,plain,
    product(a55,a29) = a52,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1512]),c_0_1493]),c_0_1474]) ).

cnf(c_0_1524,axiom,
    a15 = product(a14,a53),
    knot_15 ).

cnf(c_0_1525,plain,
    product(product(X1,a56),a134) = product(product(X1,a57),product(a132,a26)),
    inference(rw,[status(thm)],[c_0_1513,c_0_1514]) ).

cnf(c_0_1526,plain,
    product(product(a10,X1),a134) = product(a9,product(X1,a134)),
    inference(spm,[status(thm)],[c_0_145,c_0_1515]) ).

cnf(c_0_1527,axiom,
    a9 = product(a8,a56),
    knot_09 ).

cnf(c_0_1528,plain,
    product(a49,a138) = a48,
    inference(spm,[status(thm)],[c_0_147,c_0_1516]) ).

cnf(c_0_1529,plain,
    product(product(a138,a52),product(a39,a52)) = a136,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1517,c_0_1518]),c_0_1519]) ).

cnf(c_0_1530,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a53,a137,a8,a53,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a55,a53,a7,a52,a51,a8,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1520,c_0_1509]),c_0_1509]),c_0_1521]),c_0_1522]),c_0_1522]),c_0_1522]),c_0_1521]),c_0_1522]) ).

cnf(c_0_1531,plain,
    a53 = a52,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1510,c_0_1522]),c_0_1523]) ).

cnf(c_0_1532,axiom,
    a16 = product(a15,a136),
    knot_16 ).

cnf(c_0_1533,plain,
    product(a15,a53) = a14,
    inference(spm,[status(thm)],[c_0_147,c_0_1524]) ).

cnf(c_0_1534,plain,
    product(product(a10,a57),product(a132,a26)) = product(a9,a57),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1525,c_0_1526]),c_0_1485]) ).

cnf(c_0_1535,plain,
    product(a9,a56) = a8,
    inference(spm,[status(thm)],[c_0_147,c_0_1527]) ).

cnf(c_0_1536,plain,
    product(product(a49,X1),product(a138,X1)) = product(a48,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1528]) ).

cnf(c_0_1537,plain,
    product(a138,a39) = product(a136,a52),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1529]),c_0_147]) ).

cnf(c_0_1538,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a52,a137,a8,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a14,a5,a38,a39,a6,a55,a52,a7,a52,a51,a8,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1530,c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]) ).

cnf(c_0_1539,plain,
    a14 = a16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1532,c_0_1521]),c_0_1533]) ).

cnf(c_0_1540,plain,
    product(a10,a57) = a9,
    inference(rw,[status(thm)],[c_0_1515,c_0_1497]) ).

cnf(c_0_1541,plain,
    product(a9,a57) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1534,c_0_1491]),c_0_1526]),c_0_1498]),c_0_1535]) ).

cnf(c_0_1542,axiom,
    a6 = product(a5,a136),
    knot_06 ).

cnf(c_0_1543,axiom,
    a139 = product(a138,a20),
    knot_139 ).

cnf(c_0_1544,plain,
    product(product(a49,a39),product(a136,a52)) = product(a48,a39),
    inference(spm,[status(thm)],[c_0_1536,c_0_1537]) ).

cnf(c_0_1545,plain,
    a136 = a52,
    inference(rw,[status(thm)],[c_0_1521,c_0_1531]) ).

cnf(c_0_1546,plain,
    product(a137,a39) = a52,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1519,c_0_1521]),c_0_1531]) ).

cnf(c_0_1547,plain,
    product(a52,a39) = a51,
    inference(spm,[status(thm)],[c_0_147,c_0_1504]) ).

cnf(c_0_1548,plain,
    product(product(a2,a3),product(a42,a41)) = a3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1268,c_0_203]),c_0_854]) ).

cnf(c_0_1549,plain,
    product(product(a2,X1),a41) = product(a3,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_854]) ).

cnf(c_0_1550,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a16,a15,a6,a39,a40,a7,a52,a137,a8,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a5,a38,a39,a6,a55,a52,a7,a52,a51,a8,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1538,c_0_1539]),c_0_1539]) ).

cnf(c_0_1551,plain,
    a8 = a10,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1540]),c_0_1541]) ).

cnf(c_0_1552,plain,
    product(a6,a136) = a5,
    inference(spm,[status(thm)],[c_0_147,c_0_1542]) ).

cnf(c_0_1553,axiom,
    a7 = product(a6,a52),
    knot_07 ).

cnf(c_0_1554,axiom,
    a46 = product(a45,a141),
    knot_46 ).

cnf(c_0_1555,axiom,
    a22 = product(a21,a141),
    knot_22 ).

cnf(c_0_1556,axiom,
    a21 = product(a20,a35),
    knot_21 ).

cnf(c_0_1557,plain,
    product(product(a138,X1),a20) = product(a139,product(X1,a20)),
    inference(spm,[status(thm)],[c_0_145,c_0_1543]) ).

cnf(c_0_1558,plain,
    product(a48,a39) = a52,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_1545]),c_0_1464]),c_0_1504]),c_0_203]),c_0_203]) ).

cnf(c_0_1559,plain,
    a51 = a137,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1546]),c_0_1547]) ).

cnf(c_0_1560,axiom,
    a48 = product(a47,a20),
    knot_48 ).

cnf(c_0_1561,plain,
    product(a2,a3) = product(a3,product(a42,a41)),
    inference(spm,[status(thm)],[c_0_147,c_0_1548]) ).

cnf(c_0_1562,plain,
    product(a3,product(a42,a41)) = product(a1,a41),
    inference(spm,[status(thm)],[c_0_1549,c_0_889]) ).

cnf(c_0_1563,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a5,a16,a15,a6,a39,a40,a7,a52,a137,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a5,a38,a39,a6,a55,a52,a7,a52,a51,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1550,c_0_1551]),c_0_1551]) ).

cnf(c_0_1564,plain,
    a5 = a7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1552,c_0_1521]),c_0_1531]),c_0_1553]) ).

cnf(c_0_1565,plain,
    product(a46,a141) = a45,
    inference(spm,[status(thm)],[c_0_147,c_0_1554]) ).

cnf(c_0_1566,plain,
    product(product(a21,X1),a141) = product(a22,product(X1,a141)),
    inference(spm,[status(thm)],[c_0_145,c_0_1555]) ).

cnf(c_0_1567,plain,
    product(a21,a35) = a20,
    inference(spm,[status(thm)],[c_0_147,c_0_1556]) ).

cnf(c_0_1568,axiom,
    a23 = product(a22,a45),
    knot_23 ).

cnf(c_0_1569,axiom,
    a47 = product(a46,a11),
    knot_47 ).

cnf(c_0_1570,plain,
    product(a139,product(a51,a20)) = product(a137,a20),
    inference(spm,[status(thm)],[c_0_1557,c_0_1518]) ).

cnf(c_0_1571,plain,
    a137 = a48,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1558]),c_0_1547]),c_0_1559]) ).

cnf(c_0_1572,plain,
    product(a48,a20) = a47,
    inference(spm,[status(thm)],[c_0_147,c_0_1560]) ).

cnf(c_0_1573,axiom,
    a140 = product(a139,a47),
    knot_140 ).

cnf(c_0_1574,plain,
    product(a2,a3) = product(a1,a41),
    inference(rw,[status(thm)],[c_0_1561,c_0_1562]) ).

cnf(c_0_1575,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a137,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a51,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a7,a38,a39,a6,a55,a52,a7,a52,a51,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1563,c_0_1564]),c_0_1564]) ).

cnf(c_0_1576,plain,
    a138 = a137,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1505,c_0_1559]),c_0_203]) ).

cnf(c_0_1577,axiom,
    a141 = product(a140,a11),
    knot_141 ).

cnf(c_0_1578,plain,
    product(product(X1,a141),a45) = product(product(X1,a46),a141),
    inference(spm,[status(thm)],[c_0_145,c_0_1565]) ).

cnf(c_0_1579,plain,
    product(a20,a141) = product(a22,product(a35,a141)),
    inference(spm,[status(thm)],[c_0_1566,c_0_1567]) ).

cnf(c_0_1580,plain,
    product(product(a22,X1),a45) = product(a23,product(X1,a45)),
    inference(spm,[status(thm)],[c_0_145,c_0_1568]) ).

cnf(c_0_1581,plain,
    product(a47,a11) = a46,
    inference(spm,[status(thm)],[c_0_147,c_0_1569]) ).

cnf(c_0_1582,plain,
    a47 = a140,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1570,c_0_1559]),c_0_1571]),c_0_1572]),c_0_1573]),c_0_1571]),c_0_1572]) ).

cnf(c_0_1583,plain,
    product(a3,a2) = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_1574]),c_0_147]),c_0_888]) ).

cnf(c_0_1584,plain,
    product(product(a102,X1),a4) = product(a103,product(X1,a4)),
    inference(spm,[status(thm)],[c_0_145,c_0_606]) ).

cnf(c_0_1585,axiom,
    a4 = product(a3,a14),
    knot_04 ).

cnf(c_0_1586,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a137,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a137,a50,a139,a137,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a137,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a7,a38,a39,a6,a55,a52,a7,a52,a137,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a137,a137,a137,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1575,c_0_1559]),c_0_1559]),c_0_1559]),c_0_1559]),c_0_1576]),c_0_1576]) ).

cnf(c_0_1587,plain,
    product(a140,a47) = a139,
    inference(spm,[status(thm)],[c_0_147,c_0_1573]) ).

cnf(c_0_1588,plain,
    product(product(X1,a139),a47) = product(product(X1,a140),product(a47,a140)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1573]),c_0_145]) ).

cnf(c_0_1589,axiom,
    a36 = product(a35,a139),
    knot_36 ).

cnf(c_0_1590,axiom,
    a37 = product(a36,a47),
    knot_37 ).

cnf(c_0_1591,plain,
    product(product(a46,X1),a11) = product(a47,product(X1,a11)),
    inference(spm,[status(thm)],[c_0_145,c_0_1569]) ).

cnf(c_0_1592,plain,
    product(a141,a11) = a140,
    inference(spm,[status(thm)],[c_0_147,c_0_1577]) ).

cnf(c_0_1593,plain,
    product(product(a20,a46),a141) = product(a23,product(product(a35,a46),a141)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1578,c_0_1579]),c_0_1580]),c_0_1578]) ).

cnf(c_0_1594,plain,
    a141 = a46,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1581,c_0_1582]),c_0_1577]) ).

cnf(c_0_1595,axiom,
    a24 = product(a23,a35),
    knot_24 ).

cnf(c_0_1596,axiom,
    a25 = product(a24,a49),
    knot_25 ).

cnf(c_0_1597,axiom,
    a45 = product(a44,a23),
    knot_45 ).

cnf(c_0_1598,plain,
    product(product(a1,X1),a42) = product(a2,product(X1,a42)),
    inference(spm,[status(thm)],[c_0_145,c_0_769]) ).

cnf(c_0_1599,plain,
    product(a1,a2) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_1583]) ).

cnf(c_0_1600,plain,
    product(a101,a4) = product(a103,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1584,c_0_643]),c_0_816]) ).

cnf(c_0_1601,plain,
    product(a4,a14) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_1585]) ).

cnf(c_0_1602,plain,
    product(product(a40,X1),a14) = product(a41,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_976]) ).

cnf(c_0_1603,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a48,a50,a139,a48,a28,a31,a34,a60,a132,a60,a130,a140,a47,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a139,a46,a47,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1586,c_0_1571]),c_0_1571]),c_0_1571]),c_0_1571]),c_0_1571]),c_0_1571]),c_0_1571]),c_0_1571]) ).

cnf(c_0_1604,plain,
    a139 = a140,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1587,c_0_1582]),c_0_203]) ).

cnf(c_0_1605,plain,
    product(product(a35,a140),product(a47,a140)) = a37,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1588,c_0_1589]),c_0_1590]) ).

cnf(c_0_1606,plain,
    product(a47,a140) = product(a45,a11),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1591,c_0_1565]),c_0_1592]) ).

cnf(c_0_1607,plain,
    a20 = a24,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1593,c_0_1594]),c_0_147]),c_0_1594]),c_0_147]),c_0_1595]) ).

cnf(c_0_1608,plain,
    product(a24,a35) = a23,
    inference(spm,[status(thm)],[c_0_147,c_0_1595]) ).

cnf(c_0_1609,axiom,
    a12 = product(a11,a21),
    knot_12 ).

cnf(c_0_1610,plain,
    product(a25,a49) = a24,
    inference(spm,[status(thm)],[c_0_147,c_0_1596]) ).

cnf(c_0_1611,plain,
    product(product(a45,X1),product(a141,X1)) = product(a46,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1554]) ).

cnf(c_0_1612,axiom,
    a1 = product(a141,a23),
    knot_142 ).

cnf(c_0_1613,plain,
    product(a45,a23) = a44,
    inference(spm,[status(thm)],[c_0_147,c_0_1597]) ).

cnf(c_0_1614,plain,
    product(a2,a1) = product(a3,a42),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_1599]),c_0_889]) ).

cnf(c_0_1615,plain,
    product(product(a42,a1),a42) = a41,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_203]),c_0_1259]) ).

cnf(c_0_1616,plain,
    product(product(a103,a39),a14) = product(a100,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_1600]),c_0_1601]) ).

cnf(c_0_1617,plain,
    product(a39,a14) = product(a42,a41),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1602,c_0_816]),c_0_1601]),c_0_1260]) ).

cnf(c_0_1618,plain,
    a100 = a99,
    inference(rw,[status(thm)],[c_0_1095,c_0_1116]) ).

cnf(c_0_1619,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a141,a45,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1603,c_0_1582]),c_0_1582]),c_0_1604]),c_0_1604]) ).

cnf(c_0_1620,plain,
    product(product(a35,a140),product(a45,a11)) = a37,
    inference(rw,[status(thm)],[c_0_1605,c_0_1606]) ).

cnf(c_0_1621,plain,
    a45 = a46,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1565,c_0_1594]),c_0_203]) ).

cnf(c_0_1622,axiom,
    a13 = product(a12,a23),
    knot_13 ).

cnf(c_0_1623,plain,
    a23 = a21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1556,c_0_1607]),c_0_1608]) ).

cnf(c_0_1624,plain,
    product(a12,a21) = a11,
    inference(spm,[status(thm)],[c_0_147,c_0_1609]) ).

cnf(c_0_1625,plain,
    product(a25,a51) = a24,
    inference(rw,[status(thm)],[c_0_1610,c_0_1464]) ).

cnf(c_0_1626,plain,
    product(a46,a23) = product(a44,a1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1611,c_0_1612]),c_0_1613]) ).

cnf(c_0_1627,plain,
    product(product(a3,a1),product(a42,a1)) = a2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1614]),c_0_145]) ).

cnf(c_0_1628,plain,
    product(product(a41,X1),a2) = product(a42,product(X1,a2)),
    inference(spm,[status(thm)],[c_0_145,c_0_768]) ).

cnf(c_0_1629,plain,
    product(a41,a42) = product(a42,a1),
    inference(spm,[status(thm)],[c_0_147,c_0_1615]) ).

cnf(c_0_1630,plain,
    product(product(a1,a3),product(a42,a41)) = a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1574]),c_0_145]),c_0_1260]) ).

cnf(c_0_1631,plain,
    product(product(a100,a3),product(a42,a41)) = product(a103,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1616]),c_0_1617]) ).

cnf(c_0_1632,plain,
    a100 = a66,
    inference(rw,[status(thm)],[c_0_1618,c_0_1271]) ).

cnf(c_0_1633,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a20,a60,a132,a22,a26,a27,a35,a36,a46,a45,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a13,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[c_0_1619,c_0_1594]) ).

cnf(c_0_1634,plain,
    a37 = a35,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1620,c_0_1621]),c_0_1569]),c_0_1582]),c_0_147]) ).

cnf(c_0_1635,plain,
    a13 = a11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1622,c_0_1623]),c_0_1624]) ).

cnf(c_0_1636,axiom,
    a26 = product(a25,a138),
    knot_26 ).

cnf(c_0_1637,plain,
    product(a25,a48) = a24,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1625,c_0_1559]),c_0_1571]) ).

cnf(c_0_1638,plain,
    product(a44,a1) = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1612,c_0_1594]),c_0_1626]) ).

cnf(c_0_1639,plain,
    product(a63,a42) = a97,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_819,c_0_1278]),c_0_1298]) ).

cnf(c_0_1640,plain,
    product(a2,product(a42,a1)) = product(a3,a1),
    inference(spm,[status(thm)],[c_0_147,c_0_1627]) ).

cnf(c_0_1641,plain,
    product(product(a42,a1),a2) = product(a42,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1628,c_0_1629]),c_0_1259]) ).

cnf(c_0_1642,plain,
    product(a2,product(a42,a41)) = product(a1,a3),
    inference(spm,[status(thm)],[c_0_147,c_0_1630]) ).

cnf(c_0_1643,plain,
    product(a103,a14) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1631,c_0_1632]),c_0_1274]),c_0_1253]),c_0_1298]) ).

cnf(c_0_1644,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a26,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a26,a34,a35,a140,a44,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1633,c_0_1607]),c_0_1607]),c_0_1607]),c_0_1634]),c_0_1635]),c_0_1623]),c_0_1621]),c_0_1635]),c_0_1634]),c_0_1623]),c_0_1621]) ).

cnf(c_0_1645,plain,
    a26 = a24,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1636,c_0_1576]),c_0_1571]),c_0_1637]) ).

cnf(c_0_1646,plain,
    product(a1,a44) = a2,
    inference(rw,[status(thm)],[c_0_769,c_0_1414]) ).

cnf(c_0_1647,plain,
    a1 = a44,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1638]),c_0_203]) ).

cnf(c_0_1648,plain,
    product(a63,a1) = a130,
    inference(rw,[status(thm)],[c_0_1431,c_0_1440]) ).

cnf(c_0_1649,plain,
    product(a63,a44) = a97,
    inference(rw,[status(thm)],[c_0_1639,c_0_1414]) ).

cnf(c_0_1650,plain,
    product(a97,a42) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1267,c_0_1278]),c_0_1298]) ).

cnf(c_0_1651,plain,
    product(product(a3,a1),a2) = product(a1,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1640]),c_0_1641]),c_0_1642]) ).

cnf(c_0_1652,plain,
    product(a63,a14) = a103,
    inference(spm,[status(thm)],[c_0_147,c_0_1643]) ).

cnf(c_0_1653,negated_conjecture,
    tuple(a2,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a97,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130) != tuple(a1,a2,a41,a44,a3,a40,a4,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a44,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a97,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1644,c_0_1645]),c_0_1645]) ).

cnf(c_0_1654,plain,
    a2 = a44,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1646,c_0_1647]),c_0_203]) ).

cnf(c_0_1655,plain,
    a97 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1648,c_0_1647]),c_0_1649]) ).

cnf(c_0_1656,plain,
    product(a97,a1) = a66,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_850,c_0_1252]),c_0_1263]) ).

cnf(c_0_1657,plain,
    product(a97,a44) = a63,
    inference(rw,[status(thm)],[c_0_1650,c_0_1414]) ).

cnf(c_0_1658,plain,
    product(a1,product(a3,a1)) = product(a3,product(a3,a42)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1651]),c_0_216]),c_0_1614]) ).

cnf(c_0_1659,plain,
    product(a66,a14) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1304,c_0_1316]),c_0_1329]) ).

cnf(c_0_1660,plain,
    product(a63,a14) = a86,
    inference(rw,[status(thm)],[c_0_1652,c_0_1446]) ).

cnf(c_0_1661,plain,
    product(product(a42,a41),a14) = a39,
    inference(spm,[status(thm)],[c_0_147,c_0_1617]) ).

cnf(c_0_1662,plain,
    product(product(a3,X1),a14) = product(a4,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_1585]) ).

cnf(c_0_1663,negated_conjecture,
    tuple(a44,a44,a41,a44,a3,a40,a4,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a44,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a66,a66,a66,a66,a66,a130,a66,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a66,a66,a66,a113,a66,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a66,a66,a66,a66,a66,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a66,a117,a69,a66,a66,a126,a63) != tuple(a44,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a66,a66,a66,a66,a126,a69,a66,a66,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a66,a66,a66,a113,a66,a66,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a66,a66,a66,a117,a66,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a66,a66,a66,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1653,c_0_1647]),c_0_1654]),c_0_1655]),c_0_1654]),c_0_1655]) ).

cnf(c_0_1664,plain,
    a66 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1656,c_0_1647]),c_0_1657]) ).

cnf(c_0_1665,plain,
    product(product(a3,product(a3,a1)),product(product(a3,a42),product(a3,a1))) = a1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1658]),c_0_145]) ).

cnf(c_0_1666,plain,
    product(a44,a2) = a41,
    inference(rw,[status(thm)],[c_0_1259,c_0_1414]) ).

cnf(c_0_1667,plain,
    product(a66,a16) = a117,
    inference(rw,[status(thm)],[c_0_1659,c_0_1539]) ).

cnf(c_0_1668,plain,
    product(a63,a16) = a86,
    inference(rw,[status(thm)],[c_0_1660,c_0_1539]) ).

cnf(c_0_1669,plain,
    product(a90,a41) = a89,
    inference(spm,[status(thm)],[c_0_147,c_0_977]) ).

cnf(c_0_1670,plain,
    product(a39,a40) = product(a42,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1661]),c_0_1348]) ).

cnf(c_0_1671,plain,
    product(product(a1,a41),a14) = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1662,c_0_1562]),c_0_1661]),c_0_605]) ).

cnf(c_0_1672,plain,
    product(product(X1,a5),product(a39,a5)) = product(product(X1,a4),a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_605]),c_0_145]) ).

cnf(c_0_1673,negated_conjecture,
    tuple(a44,a44,a41,a44,a3,a40,a4,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a44,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a85,a86,a86,a86,a86,a88,a89,a63,a63,a63,a63,a63,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63) != tuple(a44,a3,a44,a43,a4,a41,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a44,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a85,a86,a86,a88,a86,a85,a89,a63,a63,a63,a117,a63,a126,a63,a63,a88,a86,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1663,c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]),c_0_1664]) ).

cnf(c_0_1674,plain,
    a44 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1665,c_0_1647]),c_0_1414]),c_0_1647]),c_0_203]),c_0_147]),c_0_1647]) ).

cnf(c_0_1675,plain,
    a41 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1599,c_0_1647]),c_0_1666]) ).

cnf(c_0_1676,plain,
    a86 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1667,c_0_1664]),c_0_1668]) ).

cnf(c_0_1677,plain,
    product(a66,a41) = a89,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1669,c_0_1118]),c_0_1240]) ).

cnf(c_0_1678,plain,
    product(a63,a41) = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_917,c_0_1279]),c_0_1298]) ).

cnf(c_0_1679,plain,
    product(product(product(X1,a42),X2),product(a2,X2)) = product(product(product(X1,a3),product(a42,a41)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_769]),c_0_1265]) ).

cnf(c_0_1680,plain,
    product(product(a41,X1),a14) = product(a40,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_1348]) ).

cnf(c_0_1681,plain,
    product(a2,a14) = product(a4,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1662,c_0_888]),c_0_1348]) ).

cnf(c_0_1682,plain,
    product(product(a42,a40),product(a14,a40)) = a39,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1670]),c_0_145]) ).

cnf(c_0_1683,plain,
    product(product(a4,X1),product(a39,X1)) = product(a5,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_605]) ).

cnf(c_0_1684,plain,
    product(a5,a40) = product(a1,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1671]),c_0_1348]) ).

cnf(c_0_1685,axiom,
    a39 = product(a38,a7),
    knot_39 ).

cnf(c_0_1686,plain,
    product(product(X1,a84),a5) = product(product(X1,a85),product(a5,a85)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_486]),c_0_145]) ).

cnf(c_0_1687,plain,
    product(a39,a5) = product(a40,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_1672]),c_0_624]) ).

cnf(c_0_1688,negated_conjecture,
    tuple(a3,a3,a3,a43,a4,a3,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a85,a117,a117,a88,a117,a85,a89,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a40,a4,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a3,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a85,a117,a117,a117,a117,a88,a89,a63,a63,a63,a63,a63,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1673,c_0_1674]),c_0_1674]),c_0_1674]),c_0_1674]),c_0_1674]),c_0_1674]),c_0_1674]),c_0_1675]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1675]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]) ).

cnf(c_0_1689,plain,
    a89 = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1677,c_0_1664]),c_0_1678]) ).

cnf(c_0_1690,plain,
    product(a41,a16) = a40,
    inference(rw,[status(thm)],[c_0_1348,c_0_1539]) ).

cnf(c_0_1691,plain,
    product(a3,a16) = a4,
    inference(rw,[status(thm)],[c_0_1585,c_0_1539]) ).

cnf(c_0_1692,plain,
    product(product(a40,product(a42,a14)),product(a4,a40)) = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1679,c_0_1680]),c_0_1681]),c_0_1260]),c_0_203]),c_0_1355]),c_0_1682]) ).

cnf(c_0_1693,plain,
    product(product(a4,a40),product(a42,a14)) = product(a1,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1683,c_0_1670]),c_0_1684]) ).

cnf(c_0_1694,plain,
    product(a39,a7) = a38,
    inference(spm,[status(thm)],[c_0_147,c_0_1685]) ).

cnf(c_0_1695,plain,
    product(product(a107,a85),product(a5,a85)) = a105,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1686,c_0_547]),c_0_1427]) ).

cnf(c_0_1696,plain,
    product(product(X1,a5),product(a40,a39)) = product(product(X1,a4),a39),
    inference(rw,[status(thm)],[c_0_1672,c_0_1687]) ).

cnf(c_0_1697,negated_conjecture,
    tuple(a3,a3,a3,a43,a4,a3,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a85,a117,a117,a88,a117,a85,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a40,a4,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a3,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a85,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1688,c_0_1689]),c_0_1689]) ).

cnf(c_0_1698,plain,
    a4 = a40,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1690,c_0_1675]),c_0_1691]) ).

cnf(c_0_1699,plain,
    product(a39,product(a42,a14)) = product(a40,product(a1,a14)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1692]),c_0_1693]) ).

cnf(c_0_1700,plain,
    a42 = a3,
    inference(rw,[status(thm)],[c_0_1414,c_0_1674]) ).

cnf(c_0_1701,plain,
    product(a4,a39) = a7,
    inference(rw,[status(thm)],[c_0_605,c_0_1564]) ).

cnf(c_0_1702,plain,
    product(a40,a39) = a38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1687,c_0_1564]),c_0_1694]) ).

cnf(c_0_1703,plain,
    product(product(a84,X1),a5) = product(a85,product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_486]) ).

cnf(c_0_1704,plain,
    product(a107,a5) = product(a105,a85),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1695]),c_0_147]) ).

cnf(c_0_1705,plain,
    product(product(X1,a5),product(a40,a39)) = product(product(X1,a40),a4),
    inference(rw,[status(thm)],[c_0_1696,c_0_845]) ).

cnf(c_0_1706,axiom,
    a8 = product(a7,a17),
    knot_08 ).

cnf(c_0_1707,axiom,
    a38 = product(a37,a17),
    knot_38 ).

cnf(c_0_1708,negated_conjecture,
    tuple(a3,a3,a3,a43,a40,a3,a7,a16,a15,a6,a39,a40,a7,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a85,a117,a117,a88,a117,a85,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a40,a40,a11,a16,a7,a38,a39,a6,a55,a52,a7,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a3,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a85,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1697,c_0_1698]),c_0_1698]) ).

cnf(c_0_1709,plain,
    a39 = a40,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1699,c_0_1700]),c_0_1539]),c_0_1691]),c_0_624]),c_0_1647]),c_0_1674]),c_0_1539]),c_0_1691]),c_0_816]) ).

cnf(c_0_1710,plain,
    a7 = a38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1701,c_0_1698]),c_0_1702]) ).

cnf(c_0_1711,plain,
    product(product(a71,a40),a4) = product(a85,product(a105,a85)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1703,c_0_1399]),c_0_1704]),c_0_145]),c_0_1687]),c_0_1705]) ).

cnf(c_0_1712,plain,
    product(a7,a19) = a8,
    inference(rw,[status(thm)],[c_0_1706,c_0_1489]) ).

cnf(c_0_1713,plain,
    product(a38,a17) = a37,
    inference(spm,[status(thm)],[c_0_147,c_0_1707]) ).

cnf(c_0_1714,negated_conjecture,
    tuple(a3,a3,a3,a43,a40,a3,a38,a16,a15,a6,a40,a40,a38,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a85,a117,a117,a88,a117,a85,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a40,a40,a11,a16,a38,a38,a40,a6,a55,a52,a38,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a3,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a85,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a85,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1708,c_0_1709]),c_0_1709]),c_0_1710]),c_0_1710]),c_0_1710]),c_0_1710]) ).

cnf(c_0_1715,plain,
    a85 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1711,c_0_1698]),c_0_147]),c_0_1436]),c_0_203]),c_0_203]) ).

cnf(c_0_1716,plain,
    product(a7,a19) = a10,
    inference(rw,[status(thm)],[c_0_1712,c_0_1551]) ).

cnf(c_0_1717,plain,
    product(a38,a19) = a37,
    inference(rw,[status(thm)],[c_0_1713,c_0_1489]) ).

cnf(c_0_1718,axiom,
    a20 = product(a19,a26),
    knot_20 ).

cnf(c_0_1719,axiom,
    a11 = product(a10,a37),
    knot_11 ).

cnf(c_0_1720,axiom,
    a17 = product(a16,a29),
    knot_17 ).

cnf(c_0_1721,axiom,
    a29 = product(a28,a17),
    knot_29 ).

cnf(c_0_1722,negated_conjecture,
    tuple(a3,a3,a3,a43,a40,a3,a38,a16,a15,a6,a40,a40,a38,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a35,a38,a11,a21,a21,a24,a32,a35,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a35,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a40,a40,a11,a16,a38,a38,a40,a6,a55,a52,a38,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a35,a12,a21,a24,a21,a31,a32,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a35,a140,a3,a46,a24,a48,a48,a48,a48,a27,a30,a35,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1714,c_0_1715]),c_0_1715]),c_0_1715]),c_0_1715]) ).

cnf(c_0_1723,plain,
    a32 = a30,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_1698]),c_0_203]),c_0_147]) ).

cnf(c_0_1724,plain,
    a40 = a38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1702,c_0_1709]),c_0_203]) ).

cnf(c_0_1725,plain,
    a35 = a10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1716,c_0_1710]),c_0_1717]),c_0_1634]) ).

cnf(c_0_1726,plain,
    product(a20,a26) = a19,
    inference(spm,[status(thm)],[c_0_147,c_0_1718]) ).

cnf(c_0_1727,plain,
    product(a11,a37) = a10,
    inference(spm,[status(thm)],[c_0_147,c_0_1719]) ).

cnf(c_0_1728,axiom,
    a28 = product(a27,a37),
    knot_28 ).

cnf(c_0_1729,axiom,
    a27 = product(a26,a8),
    knot_27 ).

cnf(c_0_1730,plain,
    product(product(X1,a29),a17) = product(product(X1,a16),a29),
    inference(spm,[status(thm)],[c_0_145,c_0_1720]) ).

cnf(c_0_1731,plain,
    product(a29,a17) = a28,
    inference(spm,[status(thm)],[c_0_147,c_0_1721]) ).

cnf(c_0_1732,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a10,a38,a11,a21,a21,a24,a30,a10,a16,a55,a29,a30,a19,a132,a24,a60,a132,a22,a24,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a11,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a10,a12,a21,a24,a21,a31,a30,a15,a52,a28,a29,a18,a132,a19,a132,a57,a24,a25,a24,a34,a10,a140,a3,a46,a24,a48,a48,a48,a48,a27,a30,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1722,c_0_1723]),c_0_1723]),c_0_1724]),c_0_1724]),c_0_1724]),c_0_1725]),c_0_1725]),c_0_1725]),c_0_1724]),c_0_1724]),c_0_1724]),c_0_1725]),c_0_1725]),c_0_1725]) ).

cnf(c_0_1733,plain,
    a24 = a19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1726,c_0_1607]),c_0_1645]),c_0_203]) ).

cnf(c_0_1734,plain,
    product(a11,a10) = a10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1727,c_0_1634]),c_0_1725]) ).

cnf(c_0_1735,plain,
    product(a28,a37) = a27,
    inference(spm,[status(thm)],[c_0_147,c_0_1728]) ).

cnf(c_0_1736,plain,
    product(a27,a8) = a26,
    inference(spm,[status(thm)],[c_0_147,c_0_1729]) ).

cnf(c_0_1737,plain,
    product(product(a29,a16),a29) = a28,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1730,c_0_203]),c_0_1731]) ).

cnf(c_0_1738,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a11,a57,a55,a12,a10,a38,a11,a21,a21,a19,a30,a10,a16,a55,a29,a30,a19,a132,a19,a60,a132,a22,a19,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a11,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a11,a36,a10,a12,a21,a19,a21,a31,a30,a15,a52,a28,a29,a18,a132,a19,a132,a57,a19,a25,a19,a34,a10,a140,a3,a46,a19,a48,a48,a48,a48,a27,a30,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1732,c_0_1733]),c_0_1733]),c_0_1733]),c_0_1733]),c_0_1733]),c_0_1733]),c_0_1733]) ).

cnf(c_0_1739,plain,
    a11 = a10,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1734]),c_0_203]) ).

cnf(c_0_1740,plain,
    product(a28,a10) = a27,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1735,c_0_1634]),c_0_1725]) ).

cnf(c_0_1741,plain,
    product(a27,a10) = a26,
    inference(rw,[status(thm)],[c_0_1736,c_0_1551]) ).

cnf(c_0_1742,plain,
    product(a17,a29) = a16,
    inference(spm,[status(thm)],[c_0_147,c_0_1720]) ).

cnf(c_0_1743,axiom,
    a30 = product(a29,a14),
    knot_30 ).

cnf(c_0_1744,plain,
    product(a29,a16) = product(a28,a29),
    inference(spm,[status(thm)],[c_0_147,c_0_1737]) ).

cnf(c_0_1745,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a19,a18,a10,a57,a57,a10,a57,a55,a12,a10,a38,a10,a21,a21,a19,a30,a10,a16,a55,a29,a30,a19,a132,a19,a60,a132,a22,a19,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a10,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a19,a9,a55,a57,a10,a132,a57,a10,a36,a10,a12,a21,a19,a21,a31,a30,a15,a52,a28,a29,a18,a132,a19,a132,a57,a19,a25,a19,a34,a10,a140,a3,a46,a19,a48,a48,a48,a48,a27,a30,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1738,c_0_1739]),c_0_1739]),c_0_1739]),c_0_1739]) ).

cnf(c_0_1746,plain,
    a19 = a28,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1740]),c_0_1741]),c_0_1645]),c_0_1733]) ).

cnf(c_0_1747,plain,
    product(a19,a10) = a21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1608,c_0_1623]),c_0_1733]),c_0_1725]) ).

cnf(c_0_1748,plain,
    product(a19,a29) = a16,
    inference(rw,[status(thm)],[c_0_1742,c_0_1489]) ).

cnf(c_0_1749,plain,
    product(a28,a29) = a30,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1743,c_0_1539]),c_0_1744]) ).

cnf(c_0_1750,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a28,a18,a10,a57,a57,a10,a57,a55,a12,a10,a38,a10,a21,a21,a28,a30,a10,a16,a55,a29,a30,a28,a132,a28,a60,a132,a22,a28,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a10,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a28,a9,a55,a57,a10,a132,a57,a10,a36,a10,a12,a21,a28,a21,a31,a30,a15,a52,a28,a29,a18,a132,a28,a132,a57,a28,a25,a28,a34,a10,a140,a3,a46,a28,a48,a48,a48,a48,a27,a30,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1745,c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]),c_0_1746]) ).

cnf(c_0_1751,plain,
    a21 = a27,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1747,c_0_1746]),c_0_1740]) ).

cnf(c_0_1752,plain,
    product(a28,a19) = a29,
    inference(rw,[status(thm)],[c_0_1721,c_0_1489]) ).

cnf(c_0_1753,plain,
    product(product(X1,a11),a47) = product(product(X1,a46),a11),
    inference(spm,[status(thm)],[c_0_145,c_0_1569]) ).

cnf(c_0_1754,plain,
    product(a13,a32) = a16,
    inference(rw,[status(thm)],[c_0_153,c_0_1539]) ).

cnf(c_0_1755,plain,
    a30 = a16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1748,c_0_1746]),c_0_1749]) ).

cnf(c_0_1756,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a28,a18,a10,a57,a57,a10,a57,a55,a12,a10,a38,a10,a27,a27,a28,a30,a10,a16,a55,a29,a30,a28,a132,a28,a60,a132,a22,a28,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a10,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a28,a9,a55,a57,a10,a132,a57,a10,a36,a10,a12,a27,a28,a27,a31,a30,a15,a52,a28,a29,a18,a132,a28,a132,a57,a28,a25,a28,a34,a10,a140,a3,a46,a28,a48,a48,a48,a48,a27,a30,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1750,c_0_1751]),c_0_1751]),c_0_1751]),c_0_1751]) ).

cnf(c_0_1757,plain,
    a29 = a28,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1752,c_0_1746]),c_0_203]) ).

cnf(c_0_1758,plain,
    product(product(a48,X1),product(a138,X1)) = product(a49,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1516]) ).

cnf(c_0_1759,plain,
    product(product(a141,a46),a11) = a139,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1753,c_0_1592]),c_0_1587]) ).

cnf(c_0_1760,plain,
    product(a10,a16) = a16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1754,c_0_1635]),c_0_1739]),c_0_1723]),c_0_1755]) ).

cnf(c_0_1761,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a28,a18,a10,a57,a57,a10,a57,a55,a12,a10,a38,a10,a27,a27,a28,a16,a10,a16,a55,a28,a16,a28,a132,a28,a60,a132,a22,a28,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a28,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a10,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a28,a9,a55,a57,a10,a132,a57,a10,a36,a10,a12,a27,a28,a27,a31,a16,a15,a52,a28,a28,a18,a132,a28,a132,a57,a28,a25,a28,a34,a10,a140,a3,a46,a28,a48,a48,a48,a48,a27,a16,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1756,c_0_1757]),c_0_1757]),c_0_1755]),c_0_1755]),c_0_1755]),c_0_1755]) ).

cnf(c_0_1762,plain,
    a28 = a16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1749,c_0_1757]),c_0_203]),c_0_1755]) ).

cnf(c_0_1763,plain,
    product(product(a47,X1),a11) = product(a46,product(X1,a11)),
    inference(spm,[status(thm)],[c_0_145,c_0_1581]) ).

cnf(c_0_1764,plain,
    product(a47,a139) = product(a49,a20),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1758,c_0_1543]),c_0_1572]) ).

cnf(c_0_1765,plain,
    product(a139,a11) = product(a141,a46),
    inference(spm,[status(thm)],[c_0_147,c_0_1759]) ).

cnf(c_0_1766,plain,
    a10 = a16,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1760]),c_0_203]) ).

cnf(c_0_1767,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a10,a52,a52,a9,a16,a18,a10,a57,a57,a10,a57,a55,a12,a10,a38,a10,a27,a27,a16,a16,a10,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a27,a10,a36,a46,a46,a46,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a10,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a10,a16,a16,a9,a55,a57,a10,a132,a57,a10,a36,a10,a12,a27,a16,a27,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a10,a140,a3,a46,a16,a48,a48,a48,a48,a27,a16,a10,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1761,c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]),c_0_1762]) ).

cnf(c_0_1768,plain,
    product(product(a49,a11),product(a20,a11)) = product(a46,product(a141,a46)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1763,c_0_1764]),c_0_1765]),c_0_145]) ).

cnf(c_0_1769,plain,
    a11 = a16,
    inference(rw,[status(thm)],[c_0_1739,c_0_1766]) ).

cnf(c_0_1770,plain,
    product(product(a114,X1),a13) = product(a113,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_207]) ).

cnf(c_0_1771,plain,
    product(a69,a13) = a81,
    inference(rw,[status(thm)],[c_0_154,c_0_361]) ).

cnf(c_0_1772,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a27,a27,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a27,a16,a36,a46,a46,a46,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a27,a16,a27,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a46,a16,a48,a48,a48,a48,a27,a16,a16,a130,a60,a60,a60,a140,a46,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1767,c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]),c_0_1766]) ).

cnf(c_0_1773,plain,
    a46 = a48,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1768,c_0_1769]),c_0_1464]),c_0_1559]),c_0_1571]),c_0_1607]),c_0_1733]),c_0_1746]),c_0_1762]),c_0_203]),c_0_147]),c_0_1594]),c_0_203]),c_0_203]) ).

cnf(c_0_1774,plain,
    product(a66,a13) = a113,
    inference(rw,[status(thm)],[c_0_1363,c_0_1370]) ).

cnf(c_0_1775,plain,
    product(a121,a13) = product(a113,product(a76,a13)),
    inference(spm,[status(thm)],[c_0_1770,c_0_571]) ).

cnf(c_0_1776,plain,
    product(a69,a13) = a72,
    inference(rw,[status(thm)],[c_0_1771,c_0_1225]) ).

cnf(c_0_1777,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a27,a27,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a27,a16,a36,a48,a48,a48,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a113,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a113,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a27,a16,a27,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a48,a16,a48,a48,a48,a48,a27,a16,a16,a130,a60,a60,a60,a140,a48,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a113,a63,a113,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1772,c_0_1773]),c_0_1773]),c_0_1773]),c_0_1773]),c_0_1773]) ).

cnf(c_0_1778,plain,
    a113 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1774,c_0_1635]),c_0_1664]),c_0_1739]),c_0_1766]),c_0_1668]),c_0_1676]) ).

cnf(c_0_1779,plain,
    product(product(a120,a33),product(a14,a13)) = product(a113,product(a76,a13)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_146]),c_0_1775]) ).

cnf(c_0_1780,plain,
    product(a69,a13) = a71,
    inference(rw,[status(thm)],[c_0_1776,c_0_1351]) ).

cnf(c_0_1781,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a27,a27,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a27,a16,a36,a48,a48,a48,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a117,a71,a71,a63,a63,a63,a117,a63,a63,a71,a71,a71,a69,a106,a71,a117,a117,a88,a117,a71,a126,a63,a63,a63,a117,a63,a126,a63,a63,a88,a117,a106,a106,a71,a71,a71,a117,a117,a117,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a27,a16,a27,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a48,a16,a48,a48,a48,a48,a27,a16,a16,a130,a60,a60,a60,a140,a48,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a117,a71,a71,a71,a71,a71,a71,a117,a63,a63,a63,a117,a63,a117,a71,a71,a71,a71,a106,a71,a117,a117,a117,a117,a88,a126,a63,a63,a63,a63,a63,a126,a63,a117,a88,a71,a106,a106,a71,a71,a71,a63,a117,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1777,c_0_1778]),c_0_1778]),c_0_1778]),c_0_1778]) ).

cnf(c_0_1782,plain,
    a117 = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1779,c_0_1361]),c_0_1457]),c_0_1725]),c_0_1766]),c_0_1539]),c_0_1635]),c_0_1739]),c_0_1766]),c_0_203]),c_0_147]),c_0_1778]),c_0_1143]),c_0_1664]),c_0_1635]),c_0_1739]),c_0_1766]),c_0_1668]),c_0_1676]),c_0_203]) ).

cnf(c_0_1783,plain,
    product(a69,a16) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1780,c_0_1635]),c_0_1739]),c_0_1766]) ).

cnf(c_0_1784,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a27,a27,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a27,a16,a36,a48,a48,a48,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a71,a71,a71,a71,a71,a71,a71,a71,a69,a71,a71,a63,a63,a63,a69,a63,a63,a71,a71,a71,a69,a106,a71,a69,a69,a88,a69,a71,a126,a63,a63,a63,a69,a63,a126,a63,a63,a88,a69,a106,a106,a71,a71,a71,a69,a69,a69,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a27,a16,a27,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a48,a16,a48,a48,a48,a48,a27,a16,a16,a130,a60,a60,a60,a140,a48,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a71,a71,a71,a69,a71,a71,a71,a71,a71,a71,a69,a63,a63,a63,a69,a63,a69,a71,a71,a71,a71,a106,a71,a69,a69,a69,a69,a88,a126,a63,a63,a63,a63,a63,a126,a63,a69,a88,a71,a106,a106,a71,a71,a71,a63,a69,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1781,c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]),c_0_1782]) ).

cnf(c_0_1785,plain,
    a71 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1362,c_0_1635]),c_0_1778]),c_0_1782]),c_0_1739]),c_0_1766]),c_0_1783]),c_0_1664]) ).

cnf(c_0_1786,plain,
    product(a26,a10) = a27,
    inference(rw,[status(thm)],[c_0_1729,c_0_1551]) ).

cnf(c_0_1787,plain,
    product(a1,a23) = a141,
    inference(spm,[status(thm)],[c_0_147,c_0_1612]) ).

cnf(c_0_1788,plain,
    product(product(a65,a1),a42) = product(a66,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_766]),c_0_1259]) ).

cnf(c_0_1789,plain,
    product(product(a126,X1),a41) = product(a127,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_884]) ).

cnf(c_0_1790,plain,
    product(product(a38,X1),a17) = product(a37,product(X1,a17)),
    inference(spm,[status(thm)],[c_0_145,c_0_1713]) ).

cnf(c_0_1791,plain,
    product(product(a82,a33),a13) = product(a75,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_1163]),c_0_423]),c_0_467]),c_0_174]),c_0_399]) ).

cnf(c_0_1792,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a27,a27,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a27,a16,a36,a48,a48,a48,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a106,a63,a69,a69,a88,a69,a63,a126,a63,a63,a63,a69,a63,a126,a63,a63,a88,a69,a106,a106,a63,a63,a63,a69,a69,a69,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a27,a16,a27,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a48,a16,a48,a48,a48,a48,a27,a16,a16,a130,a60,a60,a60,a140,a48,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a63,a63,a63,a69,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a69,a63,a69,a63,a63,a63,a63,a106,a63,a69,a69,a69,a69,a88,a126,a63,a63,a63,a63,a63,a126,a63,a69,a88,a63,a106,a106,a63,a63,a63,a63,a69,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1784,c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]),c_0_1785]) ).

cnf(c_0_1793,plain,
    a27 = a16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1786,c_0_1645]),c_0_1733]),c_0_1746]),c_0_1762]),c_0_1766]),c_0_203]) ).

cnf(c_0_1794,plain,
    product(a1,a21) = a46,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1787,c_0_1594]),c_0_1623]) ).

cnf(c_0_1795,plain,
    product(product(a65,a3),product(a42,a41)) = product(a66,a41),
    inference(rw,[status(thm)],[c_0_1788,c_0_1265]) ).

cnf(c_0_1796,plain,
    product(product(a126,a3),product(a42,a41)) = product(a127,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1268,c_0_1789]),c_0_854]) ).

cnf(c_0_1797,plain,
    product(product(a38,a16),a29) = product(a37,a28),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1730,c_0_1790]),c_0_1731]) ).

cnf(c_0_1798,plain,
    product(a17,a16) = product(a16,product(a28,a29)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1720]),c_0_1744]) ).

cnf(c_0_1799,plain,
    product(product(a75,a124),a32) = product(a82,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1791]),c_0_194]) ).

cnf(c_0_1800,plain,
    product(product(X1,a121),a32) = product(product(X1,a120),product(a32,a120)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_188]),c_0_145]) ).

cnf(c_0_1801,plain,
    product(a3,product(a14,a3)) = product(a4,a3),
    inference(spm,[status(thm)],[c_0_216,c_0_1585]) ).

cnf(c_0_1802,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a48,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a16,a16,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a16,a16,a36,a48,a48,a48,a25,a48,a50,a140,a48,a16,a31,a34,a60,a132,a60,a130,a140,a140,a48,a3,a63,a63,a63,a63,a48,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a106,a63,a69,a69,a88,a69,a63,a126,a63,a63,a63,a69,a63,a126,a63,a63,a88,a69,a106,a106,a63,a63,a63,a69,a69,a69,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a48,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a16,a16,a16,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a48,a16,a48,a48,a48,a48,a16,a16,a16,a130,a60,a60,a60,a140,a48,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a63,a63,a63,a69,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a69,a63,a69,a63,a63,a63,a63,a106,a63,a69,a69,a69,a69,a88,a126,a63,a63,a63,a63,a63,a126,a63,a69,a88,a63,a106,a106,a63,a63,a63,a63,a69,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1792,c_0_1793]),c_0_1793]),c_0_1793]),c_0_1793]),c_0_1793]),c_0_1793]) ).

cnf(c_0_1803,plain,
    a48 = a38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1794,c_0_1647]),c_0_1674]),c_0_1751]),c_0_1793]),c_0_1691]),c_0_1698]),c_0_1724]),c_0_1773]) ).

cnf(c_0_1804,plain,
    product(a130,a3) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1430,c_0_1647]),c_0_1674]) ).

cnf(c_0_1805,plain,
    product(a63,a3) = a89,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1795,c_0_1249]),c_0_1279]),c_0_1796]),c_0_1287]),c_0_1677]),c_0_1298]) ).

cnf(c_0_1806,plain,
    product(product(a37,a28),a29) = product(a38,a16),
    inference(spm,[status(thm)],[c_0_147,c_0_1797]) ).

cnf(c_0_1807,plain,
    product(product(X1,a28),a29) = product(product(X1,a16),product(a16,product(a28,a29))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_1721]),c_0_1742]),c_0_145]),c_0_1798]) ).

cnf(c_0_1808,plain,
    product(a40,a16) = a41,
    inference(rw,[status(thm)],[c_0_976,c_0_1539]) ).

cnf(c_0_1809,plain,
    product(a81,a13) = a69,
    inference(rw,[status(thm)],[c_0_384,c_0_361]) ).

cnf(c_0_1810,plain,
    product(a109,a13) = product(a120,product(a82,a13)),
    inference(spm,[status(thm)],[c_0_383,c_0_1147]) ).

cnf(c_0_1811,plain,
    product(product(a76,a120),product(a32,a120)) = product(a82,a13),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1799,c_0_576]),c_0_1800]) ).

cnf(c_0_1812,plain,
    product(product(a4,a3),product(a14,a3)) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_1801]) ).

cnf(c_0_1813,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a38,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a16,a16,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a16,a16,a36,a38,a38,a38,a25,a38,a50,a140,a38,a16,a31,a34,a60,a132,a60,a130,a140,a140,a38,a3,a63,a63,a63,a63,a38,a55,a63,a63,a130,a126,a63,a63,a63,a63,a63,a126,a69,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a106,a63,a69,a69,a88,a69,a63,a126,a63,a63,a63,a69,a63,a126,a63,a63,a88,a69,a106,a106,a63,a63,a63,a69,a69,a69,a63,a63,a63,a126,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a38,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a16,a16,a16,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a38,a16,a38,a38,a38,a38,a16,a16,a16,a130,a60,a60,a60,a140,a38,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a126,a126,a63,a63,a63,a63,a63,a130,a63,a69,a63,a63,a63,a69,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a69,a63,a69,a63,a63,a63,a63,a106,a63,a69,a69,a69,a69,a88,a126,a63,a63,a63,a63,a63,a126,a63,a69,a88,a63,a106,a106,a63,a63,a63,a63,a69,a69,a63,a63,a126,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1802,c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]),c_0_1803]) ).

cnf(c_0_1814,plain,
    a126 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1804]),c_0_1805]),c_0_1689]) ).

cnf(c_0_1815,plain,
    product(product(a37,a16),product(a16,product(a28,a29))) = product(a38,a16),
    inference(rw,[status(thm)],[c_0_1806,c_0_1807]) ).

cnf(c_0_1816,plain,
    product(a38,a16) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1808,c_0_1675]),c_0_1724]) ).

cnf(c_0_1817,plain,
    product(a130,a13) = a60,
    inference(rw,[status(thm)],[c_0_1441,c_0_1448]) ).

cnf(c_0_1818,plain,
    product(a69,product(a120,product(a82,a13))) = product(a82,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_1809]),c_0_1810]) ).

cnf(c_0_1819,plain,
    product(product(a82,a120),product(a13,a120)) = product(a76,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1811]),c_0_147]),c_0_145]) ).

cnf(c_0_1820,plain,
    a13 = a10,
    inference(rw,[status(thm)],[c_0_1635,c_0_1739]) ).

cnf(c_0_1821,plain,
    product(product(a4,X1),a14) = product(a3,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_1601]) ).

cnf(c_0_1822,plain,
    product(a4,product(a14,a3)) = product(a3,product(a4,a3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1812]),c_0_1801]) ).

cnf(c_0_1823,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a16,a15,a6,a38,a38,a38,a52,a38,a16,a52,a52,a9,a16,a18,a16,a57,a57,a16,a57,a55,a12,a16,a38,a16,a16,a16,a16,a16,a16,a16,a55,a16,a16,a16,a132,a16,a60,a132,a22,a16,a16,a16,a36,a38,a38,a38,a25,a38,a50,a140,a38,a16,a31,a34,a60,a132,a60,a130,a140,a140,a38,a3,a63,a63,a63,a63,a38,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a69,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a106,a63,a69,a69,a88,a69,a63,a130,a63,a63,a63,a69,a63,a130,a63,a63,a88,a69,a106,a106,a63,a63,a63,a69,a69,a69,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a16,a16,a38,a38,a38,a6,a55,a52,a38,a52,a38,a16,a16,a16,a9,a55,a57,a16,a132,a57,a16,a36,a16,a12,a16,a16,a16,a31,a16,a15,a52,a16,a16,a18,a132,a16,a132,a57,a16,a25,a16,a34,a16,a140,a3,a38,a16,a38,a38,a38,a38,a16,a16,a16,a130,a60,a60,a60,a140,a38,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a69,a63,a63,a63,a69,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a69,a63,a69,a63,a63,a63,a63,a106,a63,a69,a69,a69,a69,a88,a130,a63,a63,a63,a63,a63,a130,a63,a69,a88,a63,a106,a106,a63,a63,a63,a63,a69,a69,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1813,c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]),c_0_1814]) ).

cnf(c_0_1824,plain,
    a16 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1815,c_0_1634]),c_0_1725]),c_0_1766]),c_0_203]),c_0_1762]),c_0_1757]),c_0_1762]),c_0_203]),c_0_203]),c_0_203]),c_0_1816]) ).

cnf(c_0_1825,plain,
    product(a130,a16) = a60,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1817,c_0_1635]),c_0_1739]),c_0_1766]) ).

cnf(c_0_1826,plain,
    product(a69,product(a82,a13)) = product(a76,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_1818]),c_0_147]),c_0_145]),c_0_1819]) ).

cnf(c_0_1827,plain,
    a13 = a16,
    inference(rw,[status(thm)],[c_0_1820,c_0_1766]) ).

cnf(c_0_1828,plain,
    product(a3,product(a14,a4)) = product(a4,product(a3,a4)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1821,c_0_1822]),c_0_1662]),c_0_1821]),c_0_1585]),c_0_216]),c_0_1585]) ).

cnf(c_0_1829,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a3,a15,a6,a38,a38,a38,a52,a38,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a38,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a60,a132,a22,a3,a3,a3,a36,a38,a38,a38,a25,a38,a50,a140,a38,a3,a31,a34,a60,a132,a60,a130,a140,a140,a38,a3,a63,a63,a63,a63,a38,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a69,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a106,a63,a69,a69,a88,a69,a63,a130,a63,a63,a63,a69,a63,a130,a63,a63,a88,a69,a106,a106,a63,a63,a63,a69,a69,a69,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a3,a3,a38,a38,a38,a6,a55,a52,a38,a52,a38,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a31,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a38,a3,a38,a38,a38,a38,a3,a3,a3,a130,a60,a60,a60,a140,a38,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a69,a63,a63,a63,a69,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a69,a63,a69,a63,a63,a63,a63,a106,a63,a69,a69,a69,a69,a88,a130,a63,a63,a63,a63,a63,a130,a63,a69,a88,a63,a106,a106,a63,a63,a63,a63,a69,a69,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1823,c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]),c_0_1824]) ).

cnf(c_0_1830,plain,
    a60 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1825,c_0_1824]),c_0_1804]) ).

cnf(c_0_1831,plain,
    product(product(a76,a32),product(a82,a13)) = a69,
    inference(spm,[status(thm)],[c_0_147,c_0_1826]) ).

cnf(c_0_1832,plain,
    a13 = a3,
    inference(rw,[status(thm)],[c_0_1827,c_0_1824]) ).

cnf(c_0_1833,plain,
    product(product(a4,product(a3,a4)),product(a14,a4)) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_1828]) ).

cnf(c_0_1834,plain,
    a14 = a3,
    inference(rw,[status(thm)],[c_0_1539,c_0_1824]) ).

cnf(c_0_1835,plain,
    product(product(a31,X1),product(a39,X1)) = product(a32,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_567]) ).

cnf(c_0_1836,plain,
    product(product(a33,X1),a131) = product(a34,product(X1,a131)),
    inference(spm,[status(thm)],[c_0_145,c_0_1438]) ).

cnf(c_0_1837,plain,
    product(a136,a29) = a135,
    inference(spm,[status(thm)],[c_0_147,c_0_1486]) ).

cnf(c_0_1838,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a3,a15,a6,a38,a38,a38,a52,a38,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a38,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a38,a38,a38,a25,a38,a50,a140,a38,a3,a31,a34,a63,a132,a63,a130,a140,a140,a38,a3,a63,a63,a63,a63,a38,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a69,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a63,a63,a63,a63,a63,a69,a106,a63,a69,a69,a88,a69,a63,a130,a63,a63,a63,a69,a63,a130,a63,a63,a88,a69,a106,a106,a63,a63,a63,a69,a69,a69,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a3,a3,a38,a38,a38,a6,a55,a52,a38,a52,a38,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a31,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a38,a3,a38,a38,a38,a38,a3,a3,a3,a130,a63,a63,a63,a140,a38,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a69,a63,a63,a63,a69,a63,a63,a63,a63,a63,a63,a69,a63,a63,a63,a69,a63,a69,a63,a63,a63,a63,a106,a63,a69,a69,a69,a69,a88,a130,a63,a63,a63,a63,a63,a130,a63,a69,a88,a63,a106,a106,a63,a63,a63,a63,a69,a69,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1829,c_0_1830]),c_0_1830]),c_0_1830]),c_0_1830]),c_0_1830]),c_0_1830]) ).

cnf(c_0_1839,plain,
    a69 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1831,c_0_1832]),c_0_1143]),c_0_1664]),c_0_1723]),c_0_1755]),c_0_1824]),c_0_1805]),c_0_1689]),c_0_1814]),c_0_1231]),c_0_1785]),c_0_1805]),c_0_1689]),c_0_1814]),c_0_203]) ).

cnf(c_0_1840,plain,
    a38 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1833,c_0_1834]),c_0_147]),c_0_1698]),c_0_1724]) ).

cnf(c_0_1841,plain,
    product(product(a31,a40),product(a4,a40)) = product(a30,a39),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1835,c_0_624]),c_0_910]),c_0_145]) ).

cnf(c_0_1842,plain,
    product(a34,product(a13,a131)) = product(a32,a131),
    inference(spm,[status(thm)],[c_0_1836,c_0_194]) ).

cnf(c_0_1843,plain,
    product(product(X1,a131),product(a13,a131)) = product(product(X1,a130),a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1441]),c_0_145]) ).

cnf(c_0_1844,plain,
    product(product(a52,X1),a136) = product(a53,product(X1,a136)),
    inference(spm,[status(thm)],[c_0_145,c_0_1487]) ).

cnf(c_0_1845,plain,
    product(a52,a29) = a55,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1501,c_0_1494]),c_0_1837]),c_0_1474]) ).

cnf(c_0_1846,negated_conjecture,
    tuple(a3,a3,a3,a43,a38,a3,a38,a3,a15,a6,a38,a38,a38,a52,a38,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a38,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a38,a38,a38,a25,a38,a50,a140,a38,a3,a31,a34,a63,a132,a63,a130,a140,a140,a38,a3,a63,a63,a63,a63,a38,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a106,a63,a130,a130,a88,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a88,a130,a106,a106,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a38,a38,a3,a3,a38,a38,a38,a6,a55,a52,a38,a52,a38,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a31,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a38,a3,a38,a38,a38,a38,a3,a3,a3,a130,a63,a63,a63,a140,a38,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a106,a63,a130,a130,a130,a130,a88,a130,a63,a63,a63,a63,a63,a130,a63,a130,a88,a63,a106,a106,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1838,c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]),c_0_1839]) ).

cnf(c_0_1847,plain,
    product(product(a90,a40),product(a14,a40)) = a88,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1355,c_0_1669]),c_0_1349]) ).

cnf(c_0_1848,plain,
    a40 = a3,
    inference(rw,[status(thm)],[c_0_1724,c_0_1840]) ).

cnf(c_0_1849,plain,
    product(product(a30,a40),product(a42,a14)) = product(a31,a4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1841]),c_0_147]),c_0_145]),c_0_1670]) ).

cnf(c_0_1850,plain,
    product(product(a32,a130),a13) = a34,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1842]),c_0_1843]) ).

cnf(c_0_1851,plain,
    product(product(a52,a135),a29) = product(a53,product(a29,a136)),
    inference(spm,[status(thm)],[c_0_1493,c_0_1487]) ).

cnf(c_0_1852,plain,
    product(a53,product(a29,a136)) = product(a55,a136),
    inference(spm,[status(thm)],[c_0_1844,c_0_1845]) ).

cnf(c_0_1853,plain,
    product(product(a51,X1),product(a39,X1)) = product(a52,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1504]) ).

cnf(c_0_1854,negated_conjecture,
    tuple(a3,a3,a3,a43,a3,a3,a3,a3,a15,a6,a3,a3,a3,a52,a3,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a140,a3,a3,a31,a34,a63,a132,a63,a130,a140,a140,a3,a3,a63,a63,a63,a63,a3,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a106,a63,a130,a130,a88,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a88,a130,a106,a106,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a55,a52,a3,a52,a3,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a31,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a140,a3,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a106,a63,a130,a130,a130,a130,a88,a130,a63,a63,a63,a63,a63,a130,a63,a130,a88,a63,a106,a106,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1846,c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]),c_0_1840]) ).

cnf(c_0_1855,plain,
    a88 = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1847,c_0_1848]),c_0_1118]),c_0_1240]),c_0_1664]),c_0_1805]),c_0_1689]),c_0_1814]),c_0_1539]),c_0_1824]),c_0_203]),c_0_1804]) ).

cnf(c_0_1856,plain,
    product(a31,a3) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1849,c_0_1414]),c_0_1674]),c_0_1539]),c_0_1691]),c_0_1698]),c_0_147]),c_0_1698]),c_0_1724]),c_0_1840]),c_0_1755]),c_0_1824]) ).

cnf(c_0_1857,plain,
    product(product(a32,X1),a39) = product(a31,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_584]) ).

cnf(c_0_1858,plain,
    product(a32,a130) = product(a34,a13),
    inference(spm,[status(thm)],[c_0_147,c_0_1850]) ).

cnf(c_0_1859,plain,
    product(a44,a63) = a43,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1390,c_0_1319]),c_0_1414]) ).

cnf(c_0_1860,plain,
    product(product(a52,a135),a29) = product(a55,a136),
    inference(rw,[status(thm)],[c_0_1851,c_0_1852]) ).

cnf(c_0_1861,plain,
    product(product(a51,a40),product(a4,a40)) = product(a52,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1853,c_0_624]),c_0_145]) ).

cnf(c_0_1862,negated_conjecture,
    tuple(a3,a3,a3,a43,a3,a3,a3,a3,a15,a6,a3,a3,a3,a52,a3,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a140,a3,a3,a31,a34,a63,a132,a63,a130,a140,a140,a3,a3,a63,a63,a63,a63,a3,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a106,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a106,a106,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a55,a52,a3,a52,a3,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a31,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a140,a3,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a106,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a106,a106,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1854,c_0_1855]),c_0_1855]),c_0_1855]),c_0_1855]) ).

cnf(c_0_1863,plain,
    a31 = a3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1856]),c_0_203]) ).

cnf(c_0_1864,plain,
    product(product(a34,a39),product(a13,a39)) = product(a31,product(a130,a39)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1857,c_0_1858]),c_0_145]) ).

cnf(c_0_1865,plain,
    product(a3,a63) = a43,
    inference(rw,[status(thm)],[c_0_1859,c_0_1674]) ).

cnf(c_0_1866,plain,
    product(a52,product(a29,a135)) = product(a54,product(a136,a135)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1860]),c_0_145]),c_0_1483]) ).

cnf(c_0_1867,plain,
    product(a52,a3) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1861,c_0_1559]),c_0_1571]),c_0_1698]),c_0_203]),c_0_147]),c_0_1698]),c_0_1724]),c_0_1840]),c_0_1803]),c_0_1840]) ).

cnf(c_0_1868,negated_conjecture,
    tuple(a3,a3,a3,a43,a3,a3,a3,a3,a15,a6,a3,a3,a3,a52,a3,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a140,a3,a3,a3,a34,a63,a132,a63,a130,a140,a140,a3,a3,a63,a63,a63,a63,a3,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a106,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a106,a106,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a55,a52,a3,a52,a3,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a3,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a140,a3,a140,a43,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a106,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a106,a106,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1862,c_0_1863]),c_0_1863]) ).

cnf(c_0_1869,plain,
    a43 = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1864,c_0_1709]),c_0_1724]),c_0_1840]),c_0_1635]),c_0_1739]),c_0_1766]),c_0_1824]),c_0_1709]),c_0_1724]),c_0_1840]),c_0_203]),c_0_147]),c_0_1863]),c_0_1709]),c_0_1724]),c_0_1840]),c_0_1804]),c_0_1865]) ).

cnf(c_0_1870,plain,
    a106 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1384,c_0_1863]),c_0_1385]),c_0_1446]),c_0_1676]),c_0_1782]),c_0_1839]),c_0_1804]),c_0_1564]),c_0_1710]),c_0_1840]),c_0_203]),c_0_1805]),c_0_1689]),c_0_1814]) ).

cnf(c_0_1871,plain,
    product(product(a54,product(a136,a135)),product(a29,a135)) = a52,
    inference(spm,[status(thm)],[c_0_147,c_0_1866]) ).

cnf(c_0_1872,plain,
    a52 = a3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1867]),c_0_203]) ).

cnf(c_0_1873,plain,
    product(product(a36,X1),a47) = product(a37,product(X1,a47)),
    inference(spm,[status(thm)],[c_0_145,c_0_1590]) ).

cnf(c_0_1874,plain,
    product(a36,a139) = a35,
    inference(spm,[status(thm)],[c_0_147,c_0_1589]) ).

cnf(c_0_1875,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a6,a3,a3,a3,a52,a3,a3,a52,a52,a9,a3,a18,a3,a57,a57,a3,a57,a55,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a55,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a140,a3,a3,a3,a34,a63,a132,a63,a130,a140,a140,a3,a3,a63,a63,a63,a63,a3,a55,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a55,a52,a3,a52,a3,a3,a3,a3,a9,a55,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a3,a3,a15,a52,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a140,a3,a140,a34,a130,a63,a63,a63,a50,a55,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1868,c_0_1869]),c_0_1869]),c_0_1870]),c_0_1870]),c_0_1870]),c_0_1870]),c_0_1870]),c_0_1870]) ).

cnf(c_0_1876,plain,
    a55 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1871,c_0_1522]),c_0_1521]),c_0_1531]),c_0_1872]),c_0_1509]),c_0_1522]),c_0_1757]),c_0_1762]),c_0_1824]),c_0_1509]),c_0_1522]),c_0_147]),c_0_1872]) ).

cnf(c_0_1877,plain,
    product(a7,a52) = a6,
    inference(spm,[status(thm)],[c_0_147,c_0_1553]) ).

cnf(c_0_1878,plain,
    product(a37,a47) = a36,
    inference(spm,[status(thm)],[c_0_147,c_0_1590]) ).

cnf(c_0_1879,plain,
    product(a37,a140) = product(a35,a47),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1873,c_0_1874]),c_0_1573]) ).

cnf(c_0_1880,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a6,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a18,a3,a57,a57,a3,a57,a3,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a140,a3,a3,a3,a34,a63,a132,a63,a130,a140,a140,a3,a3,a63,a63,a63,a63,a3,a3,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a6,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a3,a3,a15,a3,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a140,a3,a140,a34,a130,a63,a63,a63,a50,a3,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1875,c_0_1872]),c_0_1872]),c_0_1872]),c_0_1872]),c_0_1872]),c_0_1872]),c_0_1876]),c_0_1876]),c_0_1876]),c_0_1876]),c_0_1876]),c_0_1876]) ).

cnf(c_0_1881,plain,
    a6 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1877,c_0_1710]),c_0_1840]),c_0_1872]),c_0_203]) ).

cnf(c_0_1882,plain,
    product(a48,a24) = a140,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1543,c_0_1576]),c_0_1571]),c_0_1607]),c_0_1604]) ).

cnf(c_0_1883,plain,
    product(a35,a140) = a36,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1878,c_0_1582]),c_0_1879]),c_0_1582]) ).

cnf(c_0_1884,plain,
    product(a37,a19) = a38,
    inference(rw,[status(thm)],[c_0_1707,c_0_1489]) ).

cnf(c_0_1885,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a18,a3,a57,a57,a3,a57,a3,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a140,a3,a3,a3,a34,a63,a132,a63,a130,a140,a140,a3,a3,a63,a63,a63,a63,a3,a3,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a3,a3,a15,a3,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a140,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a140,a3,a140,a34,a130,a63,a63,a63,a50,a3,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1880,c_0_1881]),c_0_1881]) ).

cnf(c_0_1886,plain,
    a140 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1882,c_0_1733]),c_0_1803]),c_0_1840]),c_0_1746]),c_0_1762]),c_0_1824]),c_0_203]) ).

cnf(c_0_1887,plain,
    product(a3,a140) = a36,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1883,c_0_1725]),c_0_1766]),c_0_1824]) ).

cnf(c_0_1888,plain,
    product(a24,a51) = a25,
    inference(rw,[status(thm)],[c_0_1596,c_0_1464]) ).

cnf(c_0_1889,plain,
    product(product(a10,X1),a37) = product(a11,product(X1,a37)),
    inference(spm,[status(thm)],[c_0_145,c_0_1719]) ).

cnf(c_0_1890,plain,
    product(a11,product(a21,a11)) = product(a12,a11),
    inference(spm,[status(thm)],[c_0_216,c_0_1609]) ).

cnf(c_0_1891,plain,
    product(a21,a10) = a19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1567,c_0_1607]),c_0_1725]),c_0_1733]) ).

cnf(c_0_1892,plain,
    product(a10,a19) = a38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1884,c_0_1634]),c_0_1725]) ).

cnf(c_0_1893,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a18,a3,a57,a57,a3,a57,a3,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a36,a3,a3,a3,a25,a3,a50,a3,a3,a3,a3,a34,a63,a132,a63,a130,a3,a3,a3,a3,a63,a63,a63,a63,a3,a3,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a57,a3,a132,a57,a3,a36,a3,a12,a3,a3,a3,a3,a3,a15,a3,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a3,a3,a3,a34,a130,a63,a63,a63,a50,a3,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1885,c_0_1886]),c_0_1886]),c_0_1886]),c_0_1886]),c_0_1886]),c_0_1886]) ).

cnf(c_0_1894,plain,
    a36 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1887,c_0_1886]),c_0_203]) ).

cnf(c_0_1895,plain,
    product(a24,a48) = a25,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1888,c_0_1559]),c_0_1571]) ).

cnf(c_0_1896,plain,
    product(product(a11,X1),a21) = product(a12,product(X1,a21)),
    inference(spm,[status(thm)],[c_0_145,c_0_1609]) ).

cnf(c_0_1897,plain,
    product(a11,a135) = product(a9,a37),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_1515]),c_0_1475]) ).

cnf(c_0_1898,plain,
    product(a12,a3) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1890,c_0_1739]),c_0_1739]),c_0_1891]),c_0_1892]),c_0_1739]),c_0_1766]),c_0_1824]),c_0_1840]) ).

cnf(c_0_1899,plain,
    product(a57,a37) = a55,
    inference(rw,[status(thm)],[c_0_1499,c_0_1522]) ).

cnf(c_0_1900,plain,
    product(a21,a46) = a22,
    inference(rw,[status(thm)],[c_0_1555,c_0_1594]) ).

cnf(c_0_1901,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a18,a3,a57,a57,a3,a57,a3,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a3,a3,a3,a3,a25,a3,a50,a3,a3,a3,a3,a34,a63,a132,a63,a130,a3,a3,a3,a3,a63,a63,a63,a63,a3,a3,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a57,a3,a132,a57,a3,a3,a3,a12,a3,a3,a3,a3,a3,a15,a3,a3,a3,a18,a132,a3,a132,a57,a3,a25,a3,a34,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a3,a3,a3,a34,a130,a63,a63,a63,a50,a3,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1893,c_0_1894]),c_0_1894]) ).

cnf(c_0_1902,plain,
    a25 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1895,c_0_1733]),c_0_1746]),c_0_1762]),c_0_1824]),c_0_1803]),c_0_1840]),c_0_203]) ).

cnf(c_0_1903,plain,
    product(product(a9,a21),product(a37,a21)) = product(a12,product(a135,a21)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1896,c_0_1897]),c_0_145]) ).

cnf(c_0_1904,plain,
    a12 = a3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1898]),c_0_203]) ).

cnf(c_0_1905,plain,
    product(product(a57,X1),product(a26,X1)) = product(a58,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_1480]) ).

cnf(c_0_1906,plain,
    product(a57,a10) = a55,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1899,c_0_1634]),c_0_1725]) ).

cnf(c_0_1907,plain,
    a3 = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1900,c_0_1751]),c_0_1793]),c_0_1824]),c_0_1773]),c_0_1803]),c_0_1840]),c_0_203]) ).

cnf(c_0_1908,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a18,a3,a57,a57,a3,a57,a3,a12,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a3,a3,a3,a3,a3,a3,a50,a3,a3,a3,a3,a34,a63,a132,a63,a130,a3,a3,a3,a3,a63,a63,a63,a63,a3,a3,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a9,a3,a57,a3,a132,a57,a3,a3,a3,a12,a3,a3,a3,a3,a3,a15,a3,a3,a3,a18,a132,a3,a132,a57,a3,a3,a3,a34,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a3,a3,a3,a34,a130,a63,a63,a63,a50,a3,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1901,c_0_1902]),c_0_1902]) ).

cnf(c_0_1909,plain,
    a9 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1903,c_0_1751]),c_0_1793]),c_0_1824]),c_0_1634]),c_0_1725]),c_0_1766]),c_0_1824]),c_0_1751]),c_0_1793]),c_0_1824]),c_0_203]),c_0_147]),c_0_1904]),c_0_1509]),c_0_1522]),c_0_1876]),c_0_1751]),c_0_1793]),c_0_1824]),c_0_203]),c_0_203]) ).

cnf(c_0_1910,plain,
    product(product(a57,a27),product(a8,a27)) = product(a58,a8),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1905,c_0_1729]),c_0_145]) ).

cnf(c_0_1911,plain,
    product(a57,a22) = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1906,c_0_1766]),c_0_1824]),c_0_1907]),c_0_1876]),c_0_1907]) ).

cnf(c_0_1912,negated_conjecture,
    tuple(a3,a3,a3,a34,a3,a3,a3,a3,a15,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a18,a3,a57,a57,a3,a57,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a132,a3,a63,a132,a22,a3,a3,a3,a3,a3,a3,a3,a3,a3,a50,a3,a3,a3,a3,a34,a63,a132,a63,a130,a3,a3,a3,a3,a63,a63,a63,a63,a3,a3,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a57,a3,a132,a57,a3,a3,a3,a3,a3,a3,a3,a3,a3,a15,a3,a3,a3,a18,a132,a3,a132,a57,a3,a3,a3,a34,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a130,a63,a63,a63,a3,a3,a3,a34,a130,a63,a63,a63,a50,a3,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1908,c_0_1904]),c_0_1904]),c_0_1909]),c_0_1909]) ).

cnf(c_0_1913,plain,
    product(product(a58,a27),product(a27,product(a8,a27))) = product(a57,a27),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1910]),c_0_634]) ).

cnf(c_0_1914,plain,
    a57 = a22,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1911]),c_0_203]) ).

cnf(c_0_1915,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a15,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a57,a57,a22,a57,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a132,a22,a63,a132,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a50,a22,a22,a22,a22,a34,a63,a132,a63,a130,a22,a22,a22,a22,a63,a63,a63,a63,a22,a22,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a57,a22,a132,a57,a22,a22,a22,a22,a22,a22,a22,a22,a22,a15,a22,a22,a22,a18,a132,a22,a132,a57,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a63,a63,a63,a22,a22,a22,a34,a130,a63,a63,a63,a50,a22,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1912,c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]),c_0_1907]) ).

cnf(c_0_1916,plain,
    product(a60,a48) = a132,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1466,c_0_1576]),c_0_1571]) ).

cnf(c_0_1917,plain,
    a132 = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1913,c_0_1477]),c_0_1793]),c_0_1793]),c_0_1551]),c_0_1766]),c_0_1793]),c_0_203]),c_0_203]),c_0_147]),c_0_1793]),c_0_1914]),c_0_1824]),c_0_1907]),c_0_203]) ).

cnf(c_0_1918,plain,
    product(a49,a60) = product(a51,a131),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_1459]),c_0_147]) ).

cnf(c_0_1919,plain,
    product(product(a15,X1),a136) = product(a16,product(X1,a136)),
    inference(spm,[status(thm)],[c_0_145,c_0_1532]) ).

cnf(c_0_1920,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a15,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a132,a22,a63,a132,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a50,a22,a22,a22,a22,a34,a63,a132,a63,a130,a22,a22,a22,a22,a63,a63,a63,a63,a22,a22,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a132,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a15,a22,a22,a22,a18,a132,a22,a132,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a63,a63,a63,a22,a22,a22,a34,a130,a63,a63,a63,a50,a22,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1915,c_0_1914]),c_0_1914]),c_0_1914]),c_0_1914]),c_0_1914]),c_0_1914]) ).

cnf(c_0_1921,plain,
    product(a63,a22) = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1916,c_0_1803]),c_0_1830]),c_0_1840]),c_0_1907]),c_0_1917]) ).

cnf(c_0_1922,plain,
    product(a51,a60) = a50,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1443,c_0_1448]),c_0_1918]),c_0_1448]) ).

cnf(c_0_1923,plain,
    product(product(a14,X1),a53) = product(a15,product(X1,a53)),
    inference(spm,[status(thm)],[c_0_145,c_0_1524]) ).

cnf(c_0_1924,plain,
    product(a14,a136) = product(a16,a52),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1919,c_0_1533]),c_0_1494]) ).

cnf(c_0_1925,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a15,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a63,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a50,a22,a22,a22,a22,a34,a63,a22,a63,a130,a22,a22,a22,a22,a63,a63,a63,a63,a22,a22,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a63,a63,a63,a63,a63,a130,a130,a63,a130,a130,a63,a130,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130,a130,a63,a63,a63,a130,a130) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a15,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a63,a63,a63,a22,a22,a22,a34,a130,a63,a63,a63,a50,a22,a63,a63,a63,a63,a130,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a63,a130,a63,a63,a63,a63,a63,a63,a130,a63,a63,a63,a130,a63,a130,a63,a63,a63,a63,a130,a63,a130,a130,a130,a130,a63,a130,a63,a63,a63,a63,a63,a130,a63,a130,a63,a63,a130,a130,a63,a63,a63,a63,a130,a130,a63,a63,a130,a63),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1920,c_0_1917]),c_0_1917]),c_0_1917]),c_0_1917]),c_0_1917]),c_0_1917]) ).

cnf(c_0_1926,plain,
    a63 = a22,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1921]),c_0_203]) ).

cnf(c_0_1927,plain,
    product(a48,a60) = a50,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1922,c_0_1559]),c_0_1571]) ).

cnf(c_0_1928,plain,
    product(a60,a13) = a130,
    inference(rw,[status(thm)],[c_0_1429,c_0_1440]) ).

cnf(c_0_1929,plain,
    product(product(a16,a52),a53) = product(a15,product(a136,a53)),
    inference(spm,[status(thm)],[c_0_1923,c_0_1924]) ).

cnf(c_0_1930,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a15,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a50,a22,a22,a22,a22,a34,a22,a22,a22,a130,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a130,a22,a22,a22,a22,a22,a130,a130,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a22,a22,a22,a22,a22,a130,a22,a22,a22,a22,a22,a130,a130,a22,a130,a130,a22,a130,a22,a130,a22,a22,a22,a130,a22,a130,a22,a22,a22,a130,a130,a130,a22,a22,a22,a130,a130,a130,a22,a22,a22,a130,a130) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a15,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a22,a22,a22,a22,a22,a22,a34,a130,a22,a22,a22,a50,a22,a22,a22,a22,a22,a130,a130,a22,a22,a22,a22,a22,a130,a22,a130,a22,a22,a22,a130,a22,a22,a22,a22,a22,a22,a130,a22,a22,a22,a130,a22,a130,a22,a22,a22,a22,a130,a22,a130,a130,a130,a130,a22,a130,a22,a22,a22,a22,a22,a130,a22,a130,a22,a22,a130,a130,a22,a22,a22,a22,a130,a130,a22,a22,a130,a22),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1925,c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]),c_0_1926]) ).

cnf(c_0_1931,plain,
    a50 = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1927,c_0_1803]),c_0_1840]),c_0_1907]),c_0_1830]),c_0_1926]),c_0_203]) ).

cnf(c_0_1932,plain,
    product(a60,a16) = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1928,c_0_1635]),c_0_1739]),c_0_1766]) ).

cnf(c_0_1933,plain,
    product(a15,a52) = a16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1929,c_0_1531]),c_0_147]),c_0_1521]),c_0_1531]),c_0_1531]),c_0_203]) ).

cnf(c_0_1934,plain,
    product(product(a18,X1),a58) = product(a19,product(X1,a58)),
    inference(spm,[status(thm)],[c_0_145,c_0_1455]) ).

cnf(c_0_1935,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a15,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a130,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a130,a22,a22,a22,a22,a22,a130,a130,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a22,a22,a22,a22,a22,a130,a22,a22,a22,a22,a22,a130,a130,a22,a130,a130,a22,a130,a22,a130,a22,a22,a22,a130,a22,a130,a22,a22,a22,a130,a130,a130,a22,a22,a22,a130,a130,a130,a22,a22,a22,a130,a130) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a15,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a22,a22,a22,a22,a22,a22,a34,a130,a22,a22,a22,a22,a22,a22,a22,a22,a22,a130,a130,a22,a22,a22,a22,a22,a130,a22,a130,a22,a22,a22,a130,a22,a22,a22,a22,a22,a22,a130,a22,a22,a22,a130,a22,a130,a22,a22,a22,a22,a130,a22,a130,a130,a130,a130,a22,a130,a22,a22,a22,a22,a22,a130,a22,a130,a22,a22,a130,a130,a22,a22,a22,a22,a130,a130,a22,a22,a130,a22),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1930,c_0_1931]),c_0_1931]) ).

cnf(c_0_1936,plain,
    a130 = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1932,c_0_1824]),c_0_1830]),c_0_1926]),c_0_1907]),c_0_203]) ).

cnf(c_0_1937,plain,
    product(a15,a22) = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1933,c_0_1824]),c_0_1872]),c_0_1907]),c_0_1907]) ).

cnf(c_0_1938,plain,
    product(product(a18,a132),product(a60,a138)) = product(a19,a132),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1934,c_0_1467]),c_0_1461]) ).

cnf(c_0_1939,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a15,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a15,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1935,c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]),c_0_1936]) ).

cnf(c_0_1940,plain,
    a15 = a22,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1937]),c_0_203]) ).

cnf(c_0_1941,plain,
    product(a19,a132) = a18,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1938,c_0_1466]),c_0_147]) ).

cnf(c_0_1942,negated_conjecture,
    tuple(a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a34,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1939,c_0_1940]),c_0_1940]) ).

cnf(c_0_1943,plain,
    a34 = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1865,c_0_1869]),c_0_1907]),c_0_1926]),c_0_203]) ).

cnf(c_0_1944,plain,
    product(a3,a132) = a18,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1941,c_0_1746]),c_0_1762]),c_0_1824]) ).

cnf(c_0_1945,negated_conjecture,
    tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22) != tuple(a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a18,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22,a22),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1942,c_0_1943]),c_0_1943]),c_0_1943]),c_0_1943]) ).

cnf(c_0_1946,plain,
    a18 = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1944,c_0_1907]),c_0_1917]),c_0_203]) ).

cnf(c_0_1947,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1945,c_0_1946]),c_0_1946])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : TOP052-1 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 23:48:56 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 20.38/20.47  % Version  : CSE_E---1.5
% 20.38/20.47  % Problem  : theBenchmark.p
% 20.38/20.47  % Proof found
% 20.38/20.47  % SZS status Theorem for theBenchmark.p
% 20.38/20.47  % SZS output start Proof
% See solution above
% 20.38/20.52  % Total time : 19.905000 s
% 20.38/20.52  % SZS output end Proof
% 20.38/20.52  % Total time : 19.913000 s
%------------------------------------------------------------------------------