CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : TOP052-1 : TPTP v9.2.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n019.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 : Tue May  5 05:56:45 PM UTC 2026

% Result   : Unsatisfiable 11.20s 7.21s
% Output   : CNFRefutation 11.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(involutory_quandle_02,axiom,
    product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).

cnf(knot_69,axiom,
    a69 = product(a68,a32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_69) ).

cnf(involutory_quandle_01,axiom,
    product(product(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).

cnf(knot_121,axiom,
    a121 = product(a120,a32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_121) ).

cnf(knot_122,axiom,
    a122 = product(a121,a68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_122) ).

cnf(knot_14,axiom,
    a14 = product(a13,a32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).

cnf(knot_70,axiom,
    a70 = product(a69,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_70) ).

cnf(knot_120,axiom,
    a120 = product(a119,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_120) ).

cnf(knot_119,axiom,
    a119 = product(a118,a70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_119) ).

cnf(knot_118,axiom,
    a118 = product(a117,a32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_118) ).

cnf(knot_75,axiom,
    a75 = product(a74,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_75) ).

cnf(knot_116,axiom,
    a116 = product(a115,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_116) ).

cnf(knot_117,axiom,
    a117 = product(a116,a74),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_117) ).

cnf(knot_114,axiom,
    a114 = product(a113,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_114) ).

cnf(knot_76,axiom,
    a76 = product(a75,a68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_76) ).

cnf(knot_115,axiom,
    a115 = product(a114,a68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_115) ).

cnf(knot_33,axiom,
    a33 = product(a32,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_33) ).

cnf(knot_78,axiom,
    a78 = product(a77,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_78) ).

cnf(knot_77,axiom,
    a77 = product(a76,a114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_77) ).

cnf(involutory_quandle,axiom,
    product(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).

cnf(knot_104,axiom,
    a104 = product(a103,a87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_104) ).

cnf(knot_87,axiom,
    a87 = product(a86,a104),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_87) ).

cnf(knot_79,axiom,
    a79 = product(a78,a33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_79) ).

cnf(knot_113,axiom,
    a113 = product(a112,a33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_113) ).

cnf(knot_112,axiom,
    a112 = product(a111,a79),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_112) ).

cnf(knot_80,axiom,
    a80 = product(a79,a119),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_80) ).

cnf(knot_111,axiom,
    a111 = product(a110,a119),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_111) ).

cnf(knot_105,axiom,
    a105 = product(a104,a30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_105) ).

cnf(knot_86,axiom,
    a86 = product(a85,a30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_86) ).

cnf(knot_106,axiom,
    a106 = product(a105,a5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_106) ).

cnf(knot_85,axiom,
    a85 = product(a84,a5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_85) ).

cnf(knot_40,axiom,
    a40 = product(a39,a4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_40) ).

cnf(knot_103,axiom,
    a103 = product(a102,a4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_103) ).

cnf(knot_102,axiom,
    a102 = product(a101,a40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_102) ).

cnf(knot_110,axiom,
    a110 = product(a109,a70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_110) ).

cnf(knot_81,axiom,
    a81 = product(a80,a70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_81) ).

cnf(knot_31,axiom,
    a31 = product(a30,a5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_31) ).

cnf(knot_05,axiom,
    a5 = product(a4,a39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).

cnf(knot_82,axiom,
    a82 = product(a81,a109),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_82) ).

cnf(knot_107,axiom,
    a107 = product(a106,a84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_107) ).

cnf(knot_108,axiom,
    a108 = product(a107,a39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_108) ).

cnf(knot_84,axiom,
    a84 = product(a83,a39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_84) ).

cnf(knot_32,axiom,
    a32 = product(a31,a39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_32) ).

cnf(knot_83,axiom,
    a83 = product(a82,a118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_83) ).

cnf(knot_109,axiom,
    a109 = product(a108,a118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_109) ).

cnf(knot_123,axiom,
    a123 = product(a122,a115),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_123) ).

cnf(knot_101,axiom,
    a101 = product(a100,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_101) ).

cnf(knot_124,axiom,
    a124 = product(a123,a75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_124) ).

cnf(knot_74,axiom,
    a74 = product(a73,a32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_74) ).

cnf(knot_73,axiom,
    a73 = product(a72,a82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_73) ).

cnf(knot_72,axiom,
    a72 = product(a71,a109),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_72) ).

cnf(knot_71,axiom,
    a71 = product(a70,a118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_71) ).

cnf(knot_100,axiom,
    a100 = product(a99,a124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_100) ).

cnf(knot_88,axiom,
    a88 = product(a87,a4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_88) ).

cnf(knot_89,axiom,
    a89 = product(a88,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_89) ).

cnf(knot_41,axiom,
    a41 = product(a40,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_41) ).

cnf(knot_90,axiom,
    a90 = product(a89,a41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_90) ).

cnf(knot_127,axiom,
    a127 = product(a126,a41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_127) ).

cnf(knot_126,axiom,
    a126 = product(a125,a65),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_126) ).

cnf(knot_95,axiom,
    a95 = product(a94,a127),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_95) ).

cnf(knot_94,axiom,
    a94 = product(a93,a41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_94) ).

cnf(knot_65,axiom,
    a65 = product(a64,a41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_65) ).

cnf(knot,axiom,
    a2 = product(a1,a42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).

cnf(knot_97,axiom,
    a97 = product(a96,a42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_97) ).

cnf(knot_125,axiom,
    a125 = product(a124,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_125) ).

cnf(knot_96,axiom,
    a96 = product(a95,a64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_96) ).

cnf(knot_98,axiom,
    a98 = product(a97,a1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_98) ).

cnf(knot_42,axiom,
    a42 = product(a41,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_42) ).

cnf(knot_99,axiom,
    a99 = product(a98,a92),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_99) ).

cnf(knot_92,axiom,
    a92 = product(a91,a124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_92) ).

cnf(knot_66,axiom,
    a66 = product(a65,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_66) ).

cnf(knot_93,axiom,
    a93 = product(a92,a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_93) ).

cnf(knot_91,axiom,
    a91 = product(a90,a100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_91) ).

cnf(knot_68,axiom,
    a68 = product(a67,a98),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_68) ).

cnf(knot_67,axiom,
    a67 = product(a66,a92),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_67) ).

cnf(knot_03,axiom,
    a3 = product(a2,a41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).

cnf(knot_04,axiom,
    a4 = product(a3,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).

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/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(knot_63,axiom,
    a63 = product(a62,a96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_63) ).

cnf(knot_64,axiom,
    a64 = product(a63,a127),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_64) ).

cnf(knot_128,axiom,
    a128 = product(a127,a96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_128) ).

cnf(knot_129,axiom,
    a129 = product(a128,a62),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_129) ).

cnf(knot_44,axiom,
    a44 = product(a43,a128),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_44) ).

cnf(knot_130,axiom,
    a130 = product(a129,a1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_130) ).

cnf(knot_62,axiom,
    a62 = product(a61,a1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_62) ).

cnf(knot_43,axiom,
    a43 = product(a42,a62),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_43) ).

cnf(knot_60,axiom,
    a60 = product(a59,a131),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_60) ).

cnf(knot_51,axiom,
    a51 = product(a50,a59),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_51) ).

cnf(knot_50,axiom,
    a50 = product(a49,a131),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_50) ).

cnf(knot_61,axiom,
    a61 = product(a60,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_61) ).

cnf(knot_131,axiom,
    a131 = product(a130,a13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_131) ).

cnf(knot_133,axiom,
    a133 = product(a132,a58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_133) ).

cnf(knot_59,axiom,
    a59 = product(a58,a138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_59) ).

cnf(knot_34,axiom,
    a34 = product(a33,a131),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_34) ).

cnf(knot_132,axiom,
    a132 = product(a131,a138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_132) ).

cnf(knot_35,axiom,
    a35 = product(a34,a60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_35) ).

cnf(knot_18,axiom,
    a18 = product(a17,a133),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_18) ).

cnf(knot_19,axiom,
    a19 = product(a18,a58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_19) ).

cnf(knot_58,axiom,
    a58 = product(a57,a26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_58) ).

cnf(knot_57,axiom,
    a57 = product(a56,a134),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_57) ).

cnf(knot_135,axiom,
    a135 = product(a134,a37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_135) ).

cnf(knot_56,axiom,
    a56 = product(a55,a37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_56) ).

cnf(knot_55,axiom,
    a55 = product(a54,a135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_55) ).

cnf(knot_134,axiom,
    a134 = product(a133,a26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_134) ).

cnf(knot_09,axiom,
    a9 = product(a8,a56),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).

cnf(knot_10,axiom,
    a10 = product(a9,a134),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).

cnf(knot_54,axiom,
    a54 = product(a53,a29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_54) ).

cnf(knot_15,axiom,
    a15 = product(a14,a53),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).

cnf(knot_136,axiom,
    a136 = product(a135,a29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_136) ).

cnf(knot_53,axiom,
    a53 = product(a52,a136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_53) ).

cnf(knot_16,axiom,
    a16 = product(a15,a136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).

cnf(knot_52,axiom,
    a52 = product(a51,a39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_52) ).

cnf(knot_06,axiom,
    a6 = product(a5,a136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).

cnf(knot_137,axiom,
    a137 = product(a136,a39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_137) ).

cnf(knot_07,axiom,
    a7 = product(a6,a52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).

cnf(knot_138,axiom,
    a138 = product(a137,a51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_138) ).

cnf(knot_49,axiom,
    a49 = product(a48,a138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_49) ).

cnf(knot_25,axiom,
    a25 = product(a24,a49),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_25) ).

cnf(knot_48,axiom,
    a48 = product(a47,a20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_48) ).

cnf(knot_26,axiom,
    a26 = product(a25,a138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_26) ).

cnf(knot_139,axiom,
    a139 = product(a138,a20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_139) ).

cnf(knot_46,axiom,
    a46 = product(a45,a141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_46) ).

cnf(knot_23,axiom,
    a23 = product(a22,a45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_23) ).

cnf(knot_22,axiom,
    a22 = product(a21,a141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_22) ).

cnf(knot_140,axiom,
    a140 = product(a139,a47),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_140) ).

cnf(knot_47,axiom,
    a47 = product(a46,a11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_47) ).

cnf(knot_36,axiom,
    a36 = product(a35,a139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_36) ).

cnf(knot_141,axiom,
    a141 = product(a140,a11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_141) ).

cnf(knot_37,axiom,
    a37 = product(a36,a47),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_37) ).

cnf(knot_45,axiom,
    a45 = product(a44,a23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_45) ).

cnf(knot_12,axiom,
    a12 = product(a11,a21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).

cnf(knot_13,axiom,
    a13 = product(a12,a23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).

cnf(knot_142,axiom,
    a1 = product(a141,a23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_142) ).

cnf(knot_28,axiom,
    a28 = product(a27,a37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_28) ).

cnf(knot_27,axiom,
    a27 = product(a26,a8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_27) ).

cnf(knot_38,axiom,
    a38 = product(a37,a17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_38) ).

cnf(knot_08,axiom,
    a8 = product(a7,a17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).

cnf(knot_29,axiom,
    a29 = product(a28,a17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_29) ).

cnf(knot_39,axiom,
    a39 = product(a38,a7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_39) ).

cnf(knot_11,axiom,
    a11 = product(a10,a37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).

cnf(knot_30,axiom,
    a30 = product(a29,a14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_30) ).

cnf(knot_20,axiom,
    a20 = product(a19,a26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_20) ).

cnf(knot_21,axiom,
    a21 = product(a20,a35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_21) ).

cnf(knot_24,axiom,
    a24 = product(a23,a35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_24) ).

cnf(knot_17,axiom,
    a17 = product(a16,a29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_17) ).

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,
    a69 = product(a68,a32),
    knot_69 ).

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

cnf(c_0_148,axiom,
    a121 = product(a120,a32),
    knot_121 ).

cnf(c_0_149,plain,
    product(product(X1,a68),a32) = product(product(X1,a32),a69),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_150,axiom,
    a122 = product(a121,a68),
    knot_122 ).

cnf(c_0_151,plain,
    product(a121,a32) = a120,
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_152,axiom,
    a14 = product(a13,a32),
    knot_14 ).

cnf(c_0_153,plain,
    product(a122,a32) = product(a120,a69),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

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

cnf(c_0_155,axiom,
    a120 = product(a119,a13),
    knot_120 ).

cnf(c_0_156,axiom,
    a119 = product(a118,a70),
    knot_119 ).

cnf(c_0_157,axiom,
    a118 = product(a117,a32),
    knot_118 ).

cnf(c_0_158,axiom,
    a75 = product(a74,a14),
    knot_75 ).

cnf(c_0_159,axiom,
    a116 = product(a115,a14),
    knot_116 ).

cnf(c_0_160,plain,
    product(product(X1,a32),a14) = product(product(X1,a13),a32),
    inference(spm,[status(thm)],[c_0_145,c_0_152]) ).

cnf(c_0_161,plain,
    product(product(a120,a69),a32) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_153]) ).

cnf(c_0_162,plain,
    product(product(X1,a69),a13) = product(product(X1,a13),a70),
    inference(spm,[status(thm)],[c_0_145,c_0_154]) ).

cnf(c_0_163,plain,
    product(a120,a13) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_155]) ).

cnf(c_0_164,plain,
    product(a119,a70) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_156]) ).

cnf(c_0_165,plain,
    product(a118,a32) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_157]) ).

cnf(c_0_166,plain,
    product(product(X1,a74),a14) = product(product(X1,a14),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_158]) ).

cnf(c_0_167,axiom,
    a117 = product(a116,a74),
    knot_117 ).

cnf(c_0_168,plain,
    product(a116,a14) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_159]) ).

cnf(c_0_169,axiom,
    a114 = product(a113,a13),
    knot_114 ).

cnf(c_0_170,axiom,
    a76 = product(a75,a68),
    knot_76 ).

cnf(c_0_171,plain,
    product(a122,a14) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]),c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_172,plain,
    product(a117,a14) = product(a115,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).

cnf(c_0_173,axiom,
    a115 = product(a114,a68),
    knot_115 ).

cnf(c_0_174,axiom,
    a33 = product(a32,a13),
    knot_33 ).

cnf(c_0_175,axiom,
    a78 = product(a77,a13),
    knot_78 ).

cnf(c_0_176,axiom,
    a77 = product(a76,a114),
    knot_77 ).

cnf(c_0_177,plain,
    product(a114,a13) = a113,
    inference(spm,[status(thm)],[c_0_147,c_0_169]) ).

cnf(c_0_178,plain,
    product(product(X1,a75),a68) = product(product(X1,a68),a76),
    inference(spm,[status(thm)],[c_0_145,c_0_170]) ).

cnf(c_0_179,plain,
    product(a115,a75) = a122,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_171]),c_0_172]) ).

cnf(c_0_180,plain,
    product(a122,a68) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_150]) ).

cnf(c_0_181,plain,
    product(a115,a68) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_173]) ).

cnf(c_0_182,plain,
    product(product(X1,a32),a13) = product(product(X1,a13),a33),
    inference(spm,[status(thm)],[c_0_145,c_0_174]) ).

cnf(c_0_183,plain,
    product(product(a77,X1),a13) = product(a78,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_175]) ).

cnf(c_0_184,plain,
    product(a77,a114) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_176]) ).

cnf(c_0_185,axiom,
    product(X1,X1) = X1,
    involutory_quandle ).

cnf(c_0_186,plain,
    product(product(a114,X1),a13) = product(a113,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_177]) ).

cnf(c_0_187,plain,
    product(a114,a76) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]) ).

cnf(c_0_188,plain,
    product(a121,a13) = product(a119,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_148]),c_0_163]) ).

cnf(c_0_189,plain,
    product(a78,a113) = product(a76,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_177]) ).

cnf(c_0_190,axiom,
    a104 = product(a103,a87),
    knot_104 ).

cnf(c_0_191,axiom,
    a87 = product(a86,a104),
    knot_87 ).

cnf(c_0_192,plain,
    product(product(X1,X2),X1) = product(X1,product(X2,X1)),
    inference(spm,[status(thm)],[c_0_145,c_0_185]) ).

cnf(c_0_193,plain,
    product(a113,product(a76,a13)) = product(a119,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]) ).

cnf(c_0_194,plain,
    product(product(a76,a13),a113) = a78,
    inference(spm,[status(thm)],[c_0_147,c_0_189]) ).

cnf(c_0_195,axiom,
    a79 = product(a78,a33),
    knot_79 ).

cnf(c_0_196,axiom,
    a113 = product(a112,a33),
    knot_113 ).

cnf(c_0_197,axiom,
    a112 = product(a111,a79),
    knot_112 ).

cnf(c_0_198,axiom,
    a80 = product(a79,a119),
    knot_80 ).

cnf(c_0_199,axiom,
    a111 = product(a110,a119),
    knot_111 ).

cnf(c_0_200,axiom,
    a105 = product(a104,a30),
    knot_105 ).

cnf(c_0_201,plain,
    product(a104,a87) = a103,
    inference(spm,[status(thm)],[c_0_147,c_0_190]) ).

cnf(c_0_202,plain,
    product(a87,a104) = a86,
    inference(spm,[status(thm)],[c_0_147,c_0_191]) ).

cnf(c_0_203,axiom,
    a86 = product(a85,a30),
    knot_86 ).

cnf(c_0_204,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_205,plain,
    product(product(a119,a33),a113) = product(a113,a78),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).

cnf(c_0_206,plain,
    product(product(X1,a78),a33) = product(product(X1,a33),a79),
    inference(spm,[status(thm)],[c_0_145,c_0_195]) ).

cnf(c_0_207,plain,
    product(a113,a33) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_196]) ).

cnf(c_0_208,plain,
    product(a112,a79) = a111,
    inference(spm,[status(thm)],[c_0_147,c_0_197]) ).

cnf(c_0_209,plain,
    product(product(X1,a79),a119) = product(product(X1,a119),a80),
    inference(spm,[status(thm)],[c_0_145,c_0_198]) ).

cnf(c_0_210,plain,
    product(a111,a119) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_199]) ).

cnf(c_0_211,plain,
    product(product(X1,a104),a30) = product(product(X1,a30),a105),
    inference(spm,[status(thm)],[c_0_145,c_0_200]) ).

cnf(c_0_212,plain,
    product(a103,a104) = product(a104,a86),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_201]),c_0_202]) ).

cnf(c_0_213,axiom,
    a106 = product(a105,a5),
    knot_106 ).

cnf(c_0_214,plain,
    product(a86,a30) = a85,
    inference(spm,[status(thm)],[c_0_147,c_0_203]) ).

cnf(c_0_215,axiom,
    a85 = product(a84,a5),
    knot_85 ).

cnf(c_0_216,axiom,
    a40 = product(a39,a4),
    knot_40 ).

cnf(c_0_217,axiom,
    a103 = product(a102,a4),
    knot_103 ).

cnf(c_0_218,axiom,
    a102 = product(a101,a40),
    knot_102 ).

cnf(c_0_219,plain,
    product(a119,a112) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_207]),c_0_208]),c_0_207]) ).

cnf(c_0_220,plain,
    product(a112,a119) = product(a110,a80),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_197]),c_0_210]) ).

cnf(c_0_221,axiom,
    a110 = product(a109,a70),
    knot_110 ).

cnf(c_0_222,axiom,
    a81 = product(a80,a70),
    knot_81 ).

cnf(c_0_223,plain,
    product(product(a103,a30),a105) = product(product(a104,a86),a30),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_224,plain,
    product(product(X1,a105),a5) = product(product(X1,a5),a106),
    inference(spm,[status(thm)],[c_0_145,c_0_213]) ).

cnf(c_0_225,plain,
    product(a85,a105) = product(a87,a30),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_191]),c_0_214]) ).

cnf(c_0_226,plain,
    product(a85,a5) = a84,
    inference(spm,[status(thm)],[c_0_147,c_0_215]) ).

cnf(c_0_227,axiom,
    a31 = product(a30,a5),
    knot_31 ).

cnf(c_0_228,axiom,
    a5 = product(a4,a39),
    knot_05 ).

cnf(c_0_229,plain,
    product(product(X1,a4),a40) = product(product(X1,a39),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_216]) ).

cnf(c_0_230,plain,
    product(a103,a4) = a102,
    inference(spm,[status(thm)],[c_0_147,c_0_217]) ).

cnf(c_0_231,plain,
    product(a102,a40) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_218]) ).

cnf(c_0_232,plain,
    product(a119,product(a110,a80)) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_219]),c_0_210]),c_0_220]) ).

cnf(c_0_233,plain,
    product(product(X1,a109),a70) = product(product(X1,a70),a110),
    inference(spm,[status(thm)],[c_0_145,c_0_221]) ).

cnf(c_0_234,axiom,
    a82 = product(a81,a109),
    knot_82 ).

cnf(c_0_235,plain,
    product(a81,a70) = a80,
    inference(spm,[status(thm)],[c_0_147,c_0_222]) ).

cnf(c_0_236,plain,
    product(product(product(a104,a86),a30),a105) = product(a103,a30),
    inference(spm,[status(thm)],[c_0_147,c_0_223]) ).

cnf(c_0_237,plain,
    product(product(a104,X1),a30) = product(a105,product(X1,a30)),
    inference(spm,[status(thm)],[c_0_145,c_0_200]) ).

cnf(c_0_238,plain,
    product(product(a87,a30),a5) = product(a84,a106),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).

cnf(c_0_239,plain,
    product(product(X1,a30),a5) = product(product(X1,a5),a31),
    inference(spm,[status(thm)],[c_0_145,c_0_227]) ).

cnf(c_0_240,axiom,
    a107 = product(a106,a84),
    knot_107 ).

cnf(c_0_241,axiom,
    a108 = product(a107,a39),
    knot_108 ).

cnf(c_0_242,axiom,
    a84 = product(a83,a39),
    knot_84 ).

cnf(c_0_243,plain,
    product(product(X1,a4),a39) = product(product(X1,a39),a5),
    inference(spm,[status(thm)],[c_0_145,c_0_228]) ).

cnf(c_0_244,plain,
    product(product(a103,a39),a4) = a101,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).

cnf(c_0_245,plain,
    product(a110,a70) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_221]) ).

cnf(c_0_246,plain,
    product(product(X1,product(X2,X3)),X3) = product(product(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_145,c_0_147]) ).

cnf(c_0_247,plain,
    product(a110,product(a110,a80)) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_232]) ).

cnf(c_0_248,plain,
    product(a80,a110) = product(a82,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).

cnf(c_0_249,plain,
    product(product(a113,X1),a13) = product(a114,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_169]) ).

cnf(c_0_250,plain,
    product(a33,a13) = a32,
    inference(spm,[status(thm)],[c_0_147,c_0_174]) ).

cnf(c_0_251,axiom,
    a32 = product(a31,a39),
    knot_32 ).

cnf(c_0_252,plain,
    product(product(a105,X1),a5) = product(a106,product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_213]) ).

cnf(c_0_253,plain,
    product(a105,product(a87,a30)) = product(a103,a30),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_237]),c_0_214]),c_0_192]),c_0_225]) ).

cnf(c_0_254,plain,
    product(product(a87,a5),a31) = product(a84,a106),
    inference(rw,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_255,plain,
    product(a106,product(a84,a106)) = product(a107,a106),
    inference(spm,[status(thm)],[c_0_192,c_0_240]) ).

cnf(c_0_256,plain,
    product(product(a107,X1),a39) = product(a108,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_241]) ).

cnf(c_0_257,plain,
    product(a107,a84) = a106,
    inference(spm,[status(thm)],[c_0_147,c_0_240]) ).

cnf(c_0_258,plain,
    product(a84,a39) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_242]) ).

cnf(c_0_259,plain,
    product(a101,a39) = product(a103,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_147]) ).

cnf(c_0_260,axiom,
    a83 = product(a82,a118),
    knot_83 ).

cnf(c_0_261,plain,
    product(product(a80,X1),a70) = product(a81,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_222]) ).

cnf(c_0_262,plain,
    product(a80,a119) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_198]) ).

cnf(c_0_263,axiom,
    a109 = product(a108,a118),
    knot_109 ).

cnf(c_0_264,plain,
    product(product(a110,X1),a70) = product(a109,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_245]) ).

cnf(c_0_265,plain,
    product(product(X1,a80),a70) = product(product(X1,a70),a81),
    inference(spm,[status(thm)],[c_0_145,c_0_222]) ).

cnf(c_0_266,plain,
    product(a110,product(a82,a70)) = product(a119,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_192]),c_0_248]) ).

cnf(c_0_267,plain,
    product(product(X1,a114),a68) = product(product(X1,a68),a115),
    inference(spm,[status(thm)],[c_0_145,c_0_173]) ).

cnf(c_0_268,plain,
    product(a121,a114) = product(a114,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_187]),c_0_176]) ).

cnf(c_0_269,axiom,
    a123 = product(a122,a115),
    knot_123 ).

cnf(c_0_270,plain,
    product(product(a119,X1),a13) = product(a120,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_155]) ).

cnf(c_0_271,plain,
    product(a112,a13) = product(a114,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_207]),c_0_250]) ).

cnf(c_0_272,plain,
    product(product(X1,a31),a39) = product(product(X1,a39),a32),
    inference(spm,[status(thm)],[c_0_145,c_0_251]) ).

cnf(c_0_273,plain,
    product(product(a103,a5),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_252,c_0_253]),c_0_239]),c_0_239]),c_0_254]),c_0_255]) ).

cnf(c_0_274,plain,
    product(a106,a39) = product(a108,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).

cnf(c_0_275,plain,
    product(product(a103,a5),a39) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_259]) ).

cnf(c_0_276,plain,
    product(product(a82,X1),a118) = product(a83,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_260]) ).

cnf(c_0_277,plain,
    product(a82,a109) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_234]) ).

cnf(c_0_278,plain,
    product(a81,a118) = product(a79,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_164]) ).

cnf(c_0_279,plain,
    product(a109,a118) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_263]) ).

cnf(c_0_280,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_264,c_0_247]),c_0_164]),c_0_265]),c_0_245]) ).

cnf(c_0_281,plain,
    product(product(X1,a81),a109) = product(product(X1,a109),a82),
    inference(spm,[status(thm)],[c_0_145,c_0_234]) ).

cnf(c_0_282,plain,
    product(a109,a82) = product(a118,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_266]),c_0_265]),c_0_164]),c_0_245]) ).

cnf(c_0_283,plain,
    product(product(X1,a82),a118) = product(product(X1,a118),a83),
    inference(spm,[status(thm)],[c_0_145,c_0_260]) ).

cnf(c_0_284,plain,
    product(product(a114,a77),a68) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_150]),c_0_269]) ).

cnf(c_0_285,plain,
    product(a120,product(a114,a32)) = product(a111,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_219]),c_0_271]) ).

cnf(c_0_286,plain,
    product(a108,product(a108,a83)) = product(a101,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_256]),c_0_274]),c_0_275]) ).

cnf(c_0_287,plain,
    product(a83,a108) = product(a79,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278]),c_0_279]) ).

cnf(c_0_288,plain,
    product(product(a109,X1),a118) = product(a108,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_279]) ).

cnf(c_0_289,plain,
    product(a109,product(a118,a81)) = product(a118,a109),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_280]),c_0_281]),c_0_185]),c_0_282]) ).

cnf(c_0_290,plain,
    product(a118,product(a79,a70)) = product(a108,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_282]),c_0_192]),c_0_278]),c_0_279]) ).

cnf(c_0_291,plain,
    product(product(X1,a119),a70) = product(product(X1,a70),a118),
    inference(spm,[status(thm)],[c_0_145,c_0_164]) ).

cnf(c_0_292,plain,
    product(a123,a68) = product(a114,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_284]) ).

cnf(c_0_293,plain,
    product(product(a111,a13),a32) = product(a114,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_285]),c_0_148]),c_0_268]) ).

cnf(c_0_294,plain,
    product(product(a101,a32),a83) = product(a108,product(a79,a70)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_286]),c_0_192]),c_0_287]) ).

cnf(c_0_295,plain,
    product(a101,a32) = product(a118,a108),
    inference(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_288,c_0_289]),c_0_192]),c_0_279]),c_0_192]),c_0_278]),c_0_290]),c_0_286]) ).

cnf(c_0_296,plain,
    product(product(a112,a70),a118) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_220]),c_0_265]),c_0_245]) ).

cnf(c_0_297,plain,
    product(product(X1,a118),a70) = product(product(X1,a70),a119),
    inference(spm,[status(thm)],[c_0_145,c_0_156]) ).

cnf(c_0_298,plain,
    product(product(a123,a32),a69) = product(product(a114,a77),a32),
    inference(spm,[status(thm)],[c_0_149,c_0_292]) ).

cnf(c_0_299,plain,
    product(product(a114,a77),a32) = product(a111,a13),
    inference(spm,[status(thm)],[c_0_147,c_0_293]) ).

cnf(c_0_300,plain,
    product(product(a118,a108),a83) = product(a108,product(a79,a70)),
    inference(rw,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_301,plain,
    product(a108,product(a79,a70)) = product(a112,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_296]),c_0_288]),c_0_278]) ).

cnf(c_0_302,plain,
    product(product(X1,a110),a119) = product(product(X1,a119),a111),
    inference(spm,[status(thm)],[c_0_145,c_0_199]) ).

cnf(c_0_303,axiom,
    a101 = product(a100,a14),
    knot_101 ).

cnf(c_0_304,plain,
    product(product(a118,X1),a32) = product(a117,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_165]) ).

cnf(c_0_305,plain,
    product(a70,a13) = a69,
    inference(spm,[status(thm)],[c_0_147,c_0_154]) ).

cnf(c_0_306,plain,
    product(a108,a70) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_279]),c_0_221]),c_0_199]) ).

cnf(c_0_307,plain,
    product(product(a123,a32),a69) = product(a111,a13),
    inference(rw,[status(thm)],[c_0_298,c_0_299]) ).

cnf(c_0_308,plain,
    product(product(a118,a108),a83) = product(a112,a70),
    inference(rw,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_309,plain,
    product(product(a82,a70),a119) = product(a79,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_248]),c_0_262]) ).

cnf(c_0_310,plain,
    product(product(a111,X1),a79) = product(a112,product(X1,a79)),
    inference(spm,[status(thm)],[c_0_145,c_0_197]) ).

cnf(c_0_311,plain,
    product(a111,a112) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_219]) ).

cnf(c_0_312,plain,
    product(a101,a14) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_303]) ).

cnf(c_0_313,plain,
    product(a117,product(a108,a32)) = a101,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_295]),c_0_304]) ).

cnf(c_0_314,plain,
    product(product(X1,a70),a13) = product(product(X1,a13),a69),
    inference(spm,[status(thm)],[c_0_145,c_0_305]) ).

cnf(c_0_315,plain,
    product(a111,a70) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_306]) ).

cnf(c_0_316,plain,
    product(product(a111,a13),a69) = product(a123,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_307]) ).

cnf(c_0_317,axiom,
    a124 = product(a123,a75),
    knot_124 ).

cnf(c_0_318,plain,
    product(product(a112,a70),a83) = product(a118,a108),
    inference(spm,[status(thm)],[c_0_147,c_0_308]) ).

cnf(c_0_319,plain,
    product(product(a118,X1),a70) = product(a119,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_156]) ).

cnf(c_0_320,plain,
    product(a83,a70) = product(a79,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_260]),c_0_309]) ).

cnf(c_0_321,plain,
    product(a112,a111) = product(a119,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_208]) ).

cnf(c_0_322,plain,
    product(product(X1,a115),a14) = product(product(X1,a14),a116),
    inference(spm,[status(thm)],[c_0_145,c_0_159]) ).

cnf(c_0_323,plain,
    product(product(a101,X1),a14) = product(a100,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_312]) ).

cnf(c_0_324,plain,
    product(a101,product(a108,a32)) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_313]) ).

cnf(c_0_325,plain,
    product(a123,a32) = product(a108,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]) ).

cnf(c_0_326,plain,
    product(product(a123,X1),a75) = product(a124,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_145,c_0_317]) ).

cnf(c_0_327,plain,
    product(a123,a115) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_269]) ).

cnf(c_0_328,plain,
    product(a122,a75) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_179]) ).

cnf(c_0_329,plain,
    product(product(a112,X1),a79) = product(a111,product(X1,a79)),
    inference(spm,[status(thm)],[c_0_145,c_0_208]) ).

cnf(c_0_330,plain,
    product(a112,product(a79,a111)) = product(a119,a111),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_318]),c_0_319]),c_0_306]),c_0_320]) ).

cnf(c_0_331,plain,
    product(product(X1,a111),a79) = product(product(X1,a79),a112),
    inference(spm,[status(thm)],[c_0_145,c_0_197]) ).

cnf(c_0_332,plain,
    product(product(a119,a79),a112) = product(a110,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_321]),c_0_311]),c_0_220]) ).

cnf(c_0_333,plain,
    product(product(a122,a14),a116) = product(a123,a14),
    inference(spm,[status(thm)],[c_0_322,c_0_269]) ).

cnf(c_0_334,axiom,
    a74 = product(a73,a32),
    knot_74 ).

cnf(c_0_335,plain,
    product(a100,product(product(a108,a13),a32)) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_172]),c_0_179]),c_0_160]) ).

cnf(c_0_336,plain,
    product(product(a108,a13),a32) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_325]) ).

cnf(c_0_337,plain,
    product(a124,a122) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]),c_0_179]) ).

cnf(c_0_338,plain,
    product(product(a111,X1),a119) = product(a110,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_210]) ).

cnf(c_0_339,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_329,c_0_330]),c_0_331]),c_0_332]),c_0_331]),c_0_185]) ).

cnf(c_0_340,plain,
    product(product(a110,X1),a119) = product(a111,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_199]) ).

cnf(c_0_341,plain,
    product(product(a79,X1),a119) = product(a80,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_198]) ).

cnf(c_0_342,plain,
    product(a123,a14) = product(a117,a116),
    inference(rw,[status(thm)],[c_0_333,c_0_171]) ).

cnf(c_0_343,plain,
    product(product(a117,X1),a32) = product(a118,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_157]) ).

cnf(c_0_344,plain,
    product(a117,a74) = a116,
    inference(spm,[status(thm)],[c_0_147,c_0_167]) ).

cnf(c_0_345,plain,
    product(a74,a32) = a73,
    inference(spm,[status(thm)],[c_0_147,c_0_334]) ).

cnf(c_0_346,plain,
    product(product(a100,X1),a14) = product(a101,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_303]) ).

cnf(c_0_347,plain,
    product(a100,a123) = a122,
    inference(rw,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_348,plain,
    product(product(X1,a118),a32) = product(product(X1,a32),a117),
    inference(spm,[status(thm)],[c_0_145,c_0_165]) ).

cnf(c_0_349,plain,
    product(product(a115,X1),a14) = product(a116,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_159]) ).

cnf(c_0_350,plain,
    product(a115,a122) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_337]) ).

cnf(c_0_351,plain,
    product(a110,product(a80,product(a110,a80))) = a112,
    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_338,c_0_339]),c_0_340]),c_0_262]),c_0_197]),c_0_341]),c_0_220]) ).

cnf(c_0_352,plain,
    product(a108,a32) = product(a117,a116),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_336]),c_0_342]),c_0_147]) ).

cnf(c_0_353,plain,
    product(a116,a32) = product(a118,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]) ).

cnf(c_0_354,plain,
    product(a101,product(a117,a116)) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_171]),c_0_342]) ).

cnf(c_0_355,plain,
    product(product(a108,a32),a117) = product(a109,a32),
    inference(spm,[status(thm)],[c_0_348,c_0_263]) ).

cnf(c_0_356,plain,
    product(a116,a117) = product(a124,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_171]) ).

cnf(c_0_357,plain,
    product(product(a113,X1),a33) = product(a112,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_207]) ).

cnf(c_0_358,plain,
    product(a113,product(a68,a13)) = product(a115,a13),
    inference(spm,[status(thm)],[c_0_186,c_0_173]) ).

cnf(c_0_359,plain,
    product(product(a68,a13),a33) = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_146]),c_0_154]) ).

cnf(c_0_360,plain,
    product(a14,a32) = a13,
    inference(spm,[status(thm)],[c_0_147,c_0_152]) ).

cnf(c_0_361,plain,
    product(a112,product(a110,a80)) = product(a119,a80),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_351]),c_0_247]) ).

cnf(c_0_362,plain,
    product(product(a110,a80),a79) = product(a119,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_332]),c_0_208]) ).

cnf(c_0_363,plain,
    product(a111,product(a119,a111)) = product(a110,a111),
    inference(spm,[status(thm)],[c_0_192,c_0_210]) ).

cnf(c_0_364,plain,
    product(a118,product(a118,a73)) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_352]),c_0_343]),c_0_353]) ).

cnf(c_0_365,plain,
    product(product(a101,a116),a117) = product(a117,a116),
    inference(spm,[status(thm)],[c_0_246,c_0_354]) ).

cnf(c_0_366,plain,
    product(a117,product(a124,a14)) = product(a109,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_352]),c_0_192]),c_0_356]) ).

cnf(c_0_367,axiom,
    a73 = product(a72,a82),
    knot_73 ).

cnf(c_0_368,plain,
    product(product(a115,a13),a33) = product(a112,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).

cnf(c_0_369,plain,
    product(product(X1,a13),a33) = product(product(X1,a14),a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_360]),c_0_182]) ).

cnf(c_0_370,plain,
    product(product(a119,a80),a79) = product(a110,a111),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_361]),c_0_362]),c_0_363]) ).

cnf(c_0_371,plain,
    product(a118,product(a73,a118)) = product(a108,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_364]),c_0_192]) ).

cnf(c_0_372,plain,
    product(a101,a116) = product(a109,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_365]),c_0_192]),c_0_356]),c_0_366]) ).

cnf(c_0_373,plain,
    product(a112,a80) = product(a119,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_209,c_0_362]),c_0_192]),c_0_210]),c_0_340]),c_0_262]),c_0_197]) ).

cnf(c_0_374,axiom,
    a72 = product(a71,a109),
    knot_72 ).

cnf(c_0_375,plain,
    product(a73,a82) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_367]) ).

cnf(c_0_376,plain,
    product(a112,a70) = product(a118,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_369]),c_0_159]),c_0_353]) ).

cnf(c_0_377,plain,
    product(product(a118,a109),a82) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_282]),c_0_281]),c_0_277]) ).

cnf(c_0_378,plain,
    product(product(a119,a79),a80) = product(a111,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_370]),c_0_340]),c_0_210]),c_0_192]),c_0_262]) ).

cnf(c_0_379,plain,
    product(product(a79,a70),a108) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_287]) ).

cnf(c_0_380,plain,
    product(a118,product(a108,a73)) = a109,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_364]),c_0_263]),c_0_192]),c_0_371]) ).

cnf(c_0_381,plain,
    product(product(a109,a32),a116) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_372]) ).

cnf(c_0_382,plain,
    product(product(a119,a110),a80) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_373]) ).

cnf(c_0_383,plain,
    product(a72,a109) = a71,
    inference(spm,[status(thm)],[c_0_147,c_0_374]) ).

cnf(c_0_384,plain,
    product(product(X1,a73),a82) = product(product(X1,a82),a72),
    inference(spm,[status(thm)],[c_0_145,c_0_375]) ).

cnf(c_0_385,plain,
    product(a108,a73) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_376]),c_0_192]),c_0_371]) ).

cnf(c_0_386,plain,
    product(product(a109,a81),a82) = product(a118,a109),
    inference(spm,[status(thm)],[c_0_147,c_0_377]) ).

cnf(c_0_387,plain,
    product(product(a111,a110),a80) = product(a119,a79),
    inference(spm,[status(thm)],[c_0_147,c_0_378]) ).

cnf(c_0_388,plain,
    product(product(a119,X1),a70) = product(a118,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_164]) ).

cnf(c_0_389,plain,
    product(product(X1,a110),a70) = product(product(X1,a70),a109),
    inference(spm,[status(thm)],[c_0_145,c_0_245]) ).

cnf(c_0_390,plain,
    product(product(a112,a70),a108) = product(a108,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_301]),c_0_379]) ).

cnf(c_0_391,plain,
    product(product(a118,a73),a108) = product(a109,a73),
    inference(spm,[status(thm)],[c_0_246,c_0_380]) ).

cnf(c_0_392,plain,
    product(a109,product(a118,a73)) = product(a118,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_381]),c_0_295]),c_0_353]) ).

cnf(c_0_393,plain,
    product(product(X1,a108),a118) = product(product(X1,a118),a109),
    inference(spm,[status(thm)],[c_0_145,c_0_263]) ).

cnf(c_0_394,plain,
    product(a119,product(a82,a70)) = product(a112,a110),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_382]),c_0_248]) ).

cnf(c_0_395,plain,
    product(product(X1,a72),a109) = product(product(X1,a109),a71),
    inference(spm,[status(thm)],[c_0_145,c_0_383]) ).

cnf(c_0_396,plain,
    product(product(a108,a82),a72) = product(a118,a109),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386]) ).

cnf(c_0_397,plain,
    product(product(X1,a82),a109) = product(product(X1,a109),a81),
    inference(spm,[status(thm)],[c_0_145,c_0_277]) ).

cnf(c_0_398,plain,
    product(product(a108,a109),a81) = 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_265,c_0_387]),c_0_388]),c_0_290]),c_0_389]),c_0_315]) ).

cnf(c_0_399,plain,
    product(a108,a83) = product(a109,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_376]),c_0_391]) ).

cnf(c_0_400,plain,
    product(a108,product(a108,a73)) = product(a118,a109),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_392]),c_0_393]),c_0_185]),c_0_192]),c_0_371]) ).

cnf(c_0_401,plain,
    product(product(a112,a110),a70) = product(a118,a82),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_394]),c_0_164]) ).

cnf(c_0_402,plain,
    product(product(a109,a73),a71) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_147]),c_0_397]),c_0_398]),c_0_399]) ).

cnf(c_0_403,plain,
    product(product(a118,a109),product(a108,a73)) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_400]) ).

cnf(c_0_404,plain,
    product(product(a112,a70),a109) = product(a118,a82),
    inference(rw,[status(thm)],[c_0_401,c_0_389]) ).

cnf(c_0_405,plain,
    product(a83,a118) = a82,
    inference(spm,[status(thm)],[c_0_147,c_0_260]) ).

cnf(c_0_406,plain,
    product(a109,a73) = product(a118,a71),
    inference(spm,[status(thm)],[c_0_147,c_0_402]) ).

cnf(c_0_407,axiom,
    a71 = product(a70,a118),
    knot_71 ).

cnf(c_0_408,plain,
    product(product(a118,a109),product(a109,a81)) = a108,
    inference(rw,[status(thm)],[c_0_403,c_0_385]) ).

cnf(c_0_409,plain,
    product(product(a118,a109),a81) = product(a112,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_404]),c_0_397]) ).

cnf(c_0_410,plain,
    product(product(a118,a73),a109) = product(a118,a82),
    inference(rw,[status(thm)],[c_0_404,c_0_376]) ).

cnf(c_0_411,plain,
    product(product(X1,a83),a118) = product(product(X1,a118),a82),
    inference(spm,[status(thm)],[c_0_145,c_0_405]) ).

cnf(c_0_412,plain,
    product(a108,a83) = product(a118,a71),
    inference(rw,[status(thm)],[c_0_399,c_0_406]) ).

cnf(c_0_413,plain,
    product(a71,a118) = a70,
    inference(spm,[status(thm)],[c_0_147,c_0_407]) ).

cnf(c_0_414,plain,
    product(a75,a14) = a74,
    inference(spm,[status(thm)],[c_0_147,c_0_158]) ).

cnf(c_0_415,plain,
    product(a108,a81) = product(a118,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_408]),c_0_409]),c_0_376]),c_0_410]) ).

cnf(c_0_416,plain,
    product(a118,a81) = 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_411,c_0_412]),c_0_192]),c_0_413]),c_0_156]),c_0_263]),c_0_282]) ).

cnf(c_0_417,plain,
    product(product(a75,X1),a14) = product(a74,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_414]) ).

cnf(c_0_418,plain,
    product(product(X1,a81),a70) = product(product(X1,a70),a80),
    inference(spm,[status(thm)],[c_0_145,c_0_235]) ).

cnf(c_0_419,plain,
    product(product(a118,a82),a81) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_415]) ).

cnf(c_0_420,plain,
    product(a108,a109) = product(a118,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_408]),c_0_281]),c_0_185]),c_0_282]),c_0_416]) ).

cnf(c_0_421,plain,
    product(product(a78,X1),a33) = product(a79,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_195]) ).

cnf(c_0_422,plain,
    product(product(a74,X1),a32) = product(a73,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_345]) ).

cnf(c_0_423,plain,
    product(a74,product(a68,a14)) = product(a76,a14),
    inference(spm,[status(thm)],[c_0_417,c_0_170]) ).

cnf(c_0_424,plain,
    product(product(a68,X1),a32) = product(a69,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_425,plain,
    product(a112,product(a79,a112)) = product(a111,a112),
    inference(spm,[status(thm)],[c_0_192,c_0_208]) ).

cnf(c_0_426,plain,
    product(product(a119,a80),a110) = product(a110,a80),
    inference(spm,[status(thm)],[c_0_246,c_0_232]) ).

cnf(c_0_427,plain,
    product(a119,a80) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_416]),c_0_164]),c_0_156]) ).

cnf(c_0_428,plain,
    product(product(a118,a82),a72) = product(a118,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_281,c_0_419]),c_0_397]),c_0_409]),c_0_376]),c_0_384]),c_0_420]) ).

cnf(c_0_429,plain,
    product(product(a118,a119),a109) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_420]) ).

cnf(c_0_430,plain,
    product(product(a76,a13),a33) = product(a79,a112),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_189]),c_0_207]) ).

cnf(c_0_431,plain,
    product(product(a76,a14),a32) = product(a73,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]),c_0_360]),c_0_154]) ).

cnf(c_0_432,plain,
    product(a112,product(a79,a112)) = a119,
    inference(rw,[status(thm)],[c_0_425,c_0_311]) ).

cnf(c_0_433,plain,
    product(a110,a80) = product(a118,a110),
    inference(rw,[status(thm)],[c_0_426,c_0_427]) ).

cnf(c_0_434,plain,
    product(product(X1,a71),a118) = product(product(X1,a70),a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_413]),c_0_297]) ).

cnf(c_0_435,plain,
    product(product(a118,a73),a71) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_428]),c_0_429]),c_0_397]),c_0_409]),c_0_376]) ).

cnf(c_0_436,plain,
    product(a73,a70) = product(a79,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_369]),c_0_431]) ).

cnf(c_0_437,plain,
    product(a119,product(a79,a112)) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_432]) ).

cnf(c_0_438,plain,
    product(a119,product(a118,a110)) = a110,
    inference(rw,[status(thm)],[c_0_232,c_0_433]) ).

cnf(c_0_439,plain,
    product(a118,a110) = a109,
    inference(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_434,c_0_435]),c_0_263]),c_0_319]),c_0_436]),c_0_437]),c_0_220]),c_0_433]) ).

cnf(c_0_440,plain,
    product(a119,a109) = product(a109,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_416]),c_0_377]) ).

cnf(c_0_441,plain,
    product(a112,product(a118,a110)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_427]),c_0_433]) ).

cnf(c_0_442,plain,
    product(a122,product(a115,a122)) = product(a123,a122),
    inference(spm,[status(thm)],[c_0_192,c_0_269]) ).

cnf(c_0_443,plain,
    product(a109,a81) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_439]),c_0_440]) ).

cnf(c_0_444,plain,
    product(a118,product(a118,a110)) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_441]) ).

cnf(c_0_445,plain,
    product(a122,a124) = product(a123,a122),
    inference(rw,[status(thm)],[c_0_442,c_0_350]) ).

cnf(c_0_446,plain,
    product(product(a71,X1),a109) = product(a72,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_374]) ).

cnf(c_0_447,plain,
    product(a108,a73) = a110,
    inference(rw,[status(thm)],[c_0_385,c_0_443]) ).

cnf(c_0_448,plain,
    product(a118,a109) = a112,
    inference(rw,[status(thm)],[c_0_444,c_0_439]) ).

cnf(c_0_449,plain,
    product(a124,product(a123,a122)) = product(a115,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_337]),c_0_445]) ).

cnf(c_0_450,plain,
    product(a115,a123) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_350]),c_0_269]) ).

cnf(c_0_451,plain,
    product(a122,product(product(a108,a13),a32)) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_335]) ).

cnf(c_0_452,axiom,
    a100 = product(a99,a124),
    knot_100 ).

cnf(c_0_453,plain,
    product(a72,product(a118,a109)) = product(a70,a109),
    inference(spm,[status(thm)],[c_0_446,c_0_413]) ).

cnf(c_0_454,plain,
    product(a110,a82) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_447]),c_0_396]),c_0_448]) ).

cnf(c_0_455,plain,
    product(product(a115,a124),a122) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_449]),c_0_337]),c_0_450]) ).

cnf(c_0_456,plain,
    product(product(X1,a123),a115) = product(product(X1,a115),a122),
    inference(spm,[status(thm)],[c_0_145,c_0_327]) ).

cnf(c_0_457,plain,
    product(a122,a123) = a100,
    inference(rw,[status(thm)],[c_0_451,c_0_336]) ).

cnf(c_0_458,plain,
    product(a100,a124) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_452]) ).

cnf(c_0_459,plain,
    product(product(X1,a123),a75) = product(product(X1,a75),a124),
    inference(spm,[status(thm)],[c_0_145,c_0_317]) ).

cnf(c_0_460,plain,
    product(product(a72,X1),a82) = product(a73,product(X1,a82)),
    inference(spm,[status(thm)],[c_0_145,c_0_367]) ).

cnf(c_0_461,plain,
    product(a72,a112) = product(a70,a109),
    inference(rw,[status(thm)],[c_0_453,c_0_448]) ).

cnf(c_0_462,plain,
    product(a112,a82) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_454]) ).

cnf(c_0_463,plain,
    product(product(X1,a122),a115) = product(product(X1,a115),a123),
    inference(spm,[status(thm)],[c_0_145,c_0_269]) ).

cnf(c_0_464,plain,
    product(product(a124,a115),a122) = product(a115,a124),
    inference(spm,[status(thm)],[c_0_147,c_0_455]) ).

cnf(c_0_465,plain,
    product(product(a123,a122),a124) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_445]) ).

cnf(c_0_466,plain,
    product(a123,a122) = product(a100,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_269]) ).

cnf(c_0_467,plain,
    product(product(a100,X1),a124) = product(a99,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_458]) ).

cnf(c_0_468,plain,
    product(a115,a124) = product(a100,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_457]),c_0_328]) ).

cnf(c_0_469,plain,
    product(product(a70,a109),a82) = product(a73,a110),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_462]) ).

cnf(c_0_470,plain,
    product(a115,product(a124,a115)) = product(a124,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_192]),c_0_147]) ).

cnf(c_0_471,plain,
    product(a99,product(a100,a75)) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_466]),c_0_467]),c_0_468]) ).

cnf(c_0_472,plain,
    product(product(a73,a110),a109) = product(a70,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_469]),c_0_147]) ).

cnf(c_0_473,plain,
    product(a109,a110) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_439]) ).

cnf(c_0_474,plain,
    product(a112,a109) = a118,
    inference(rw,[status(thm)],[c_0_441,c_0_439]) ).

cnf(c_0_475,plain,
    product(product(a109,a81),a73) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_385]) ).

cnf(c_0_476,plain,
    product(product(a124,a123),a115) = product(a115,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_470]),c_0_147]) ).

cnf(c_0_477,plain,
    product(a124,a75) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_317]) ).

cnf(c_0_478,plain,
    product(a122,product(a100,a75)) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_471]) ).

cnf(c_0_479,plain,
    product(product(a70,a81),a110) = product(a73,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_472]),c_0_473]) ).

cnf(c_0_480,plain,
    product(product(a118,a73),a110) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_474]),c_0_156]),c_0_376]) ).

cnf(c_0_481,plain,
    product(a110,a73) = a108,
    inference(rw,[status(thm)],[c_0_475,c_0_443]) ).

cnf(c_0_482,plain,
    product(product(a115,a124),a123) = product(a124,product(a124,a115)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_476]),c_0_450]) ).

cnf(c_0_483,plain,
    product(product(X1,a75),a123) = product(product(X1,a124),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_477]) ).

cnf(c_0_484,plain,
    product(a99,a75) = product(a115,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_478]),c_0_328]) ).

cnf(c_0_485,plain,
    product(product(a73,a118),a110) = product(a70,a81),
    inference(spm,[status(thm)],[c_0_147,c_0_479]) ).

cnf(c_0_486,plain,
    product(a119,a73) = product(a118,a108),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_480]),c_0_481]) ).

cnf(c_0_487,plain,
    product(product(a124,X1),a75) = product(a123,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_145,c_0_477]) ).

cnf(c_0_488,plain,
    product(a124,product(a124,a115)) = product(a115,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_482,c_0_468]),c_0_483]),c_0_458]),c_0_484]) ).

cnf(c_0_489,plain,
    product(product(a115,a100),a75) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_484]) ).

cnf(c_0_490,plain,
    product(product(a112,X1),a33) = product(a113,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_196]) ).

cnf(c_0_491,plain,
    product(a13,a33) = product(a14,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_152]),c_0_174]) ).

cnf(c_0_492,plain,
    product(a79,a33) = a78,
    inference(spm,[status(thm)],[c_0_147,c_0_195]) ).

cnf(c_0_493,plain,
    product(a70,a80) = 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_485]),c_0_192]),c_0_235]),c_0_297]),c_0_436]),c_0_341]),c_0_220]),c_0_433]),c_0_439]),c_0_147]) ).

cnf(c_0_494,plain,
    product(product(X1,a73),a32) = product(product(X1,a32),a74),
    inference(spm,[status(thm)],[c_0_145,c_0_334]) ).

cnf(c_0_495,plain,
    product(product(a118,a108),a73) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_486]) ).

cnf(c_0_496,plain,
    product(a117,product(a117,a116)) = a101,
    inference(rw,[status(thm)],[c_0_313,c_0_352]) ).

cnf(c_0_497,plain,
    product(a123,product(a100,a115)) = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_489]),c_0_487]),c_0_179]),c_0_466]) ).

cnf(c_0_498,plain,
    product(product(X1,a33),a13) = product(product(X1,a13),a32),
    inference(spm,[status(thm)],[c_0_145,c_0_250]) ).

cnf(c_0_499,plain,
    product(product(a114,a32),a33) = product(a113,product(a14,a13)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_271]),c_0_491]) ).

cnf(c_0_500,plain,
    product(a78,a13) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_175]) ).

cnf(c_0_501,plain,
    product(product(a79,X1),a33) = product(a78,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_492]) ).

cnf(c_0_502,plain,
    product(a80,product(a119,a80)) = product(a79,a80),
    inference(spm,[status(thm)],[c_0_192,c_0_262]) ).

cnf(c_0_503,plain,
    product(product(X1,a117),a32) = product(product(X1,a32),a118),
    inference(spm,[status(thm)],[c_0_145,c_0_157]) ).

cnf(c_0_504,plain,
    a80 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_493]),c_0_185]) ).

cnf(c_0_505,plain,
    product(product(a82,a70),a80) = product(a80,product(a110,a80)),
    inference(spm,[status(thm)],[c_0_192,c_0_248]) ).

cnf(c_0_506,plain,
    product(product(a73,a13),a32) = a75,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_334]),c_0_158]) ).

cnf(c_0_507,plain,
    product(a101,a74) = product(a119,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_304]),c_0_352]),c_0_496]) ).

cnf(c_0_508,plain,
    product(product(a123,a68),a76) = product(a124,a68),
    inference(spm,[status(thm)],[c_0_178,c_0_317]) ).

cnf(c_0_509,plain,
    product(product(a99,X1),a124) = product(a100,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_452]) ).

cnf(c_0_510,plain,
    product(a99,product(a100,a115)) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_497]) ).

cnf(c_0_511,plain,
    product(a112,a32) = product(a114,a14),
    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_498,c_0_499]),c_0_249]),c_0_147]),c_0_182]),c_0_177]),c_0_207]) ).

cnf(c_0_512,plain,
    product(a117,product(a109,a32)) = product(a101,a117),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_313]),c_0_355]) ).

cnf(c_0_513,plain,
    product(product(a78,X1),a13) = product(a77,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_500]) ).

cnf(c_0_514,plain,
    product(a78,product(a119,a33)) = product(a80,a33),
    inference(spm,[status(thm)],[c_0_501,c_0_198]) ).

cnf(c_0_515,plain,
    product(a80,a118) = product(a79,a80),
    inference(rw,[status(thm)],[c_0_502,c_0_427]) ).

cnf(c_0_516,plain,
    product(product(a124,a14),a32) = product(a118,product(a73,a118)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_356]),c_0_353]),c_0_192]) ).

cnf(c_0_517,plain,
    product(a71,a70) = product(a70,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_407]),c_0_156]) ).

cnf(c_0_518,plain,
    product(a70,a119) = a79,
    inference(rw,[status(thm)],[c_0_262,c_0_504]) ).

cnf(c_0_519,plain,
    product(product(a82,a70),a80) = product(a80,a109),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_505,c_0_433]),c_0_439]) ).

cnf(c_0_520,plain,
    product(a73,a13) = product(a75,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_506]) ).

cnf(c_0_521,plain,
    product(product(a100,a75),a122) = product(a124,a115),
    inference(rw,[status(thm)],[c_0_455,c_0_468]) ).

cnf(c_0_522,plain,
    product(a100,a75) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_507]),c_0_160]),c_0_155]),c_0_148]),c_0_312]) ).

cnf(c_0_523,plain,
    product(product(X1,a76),a114) = product(product(X1,a114),a77),
    inference(spm,[status(thm)],[c_0_145,c_0_176]) ).

cnf(c_0_524,plain,
    product(product(a114,a77),a76) = product(a124,a68),
    inference(rw,[status(thm)],[c_0_508,c_0_292]) ).

cnf(c_0_525,plain,
    product(a99,product(a123,a124)) = product(a100,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_347]),c_0_445]),c_0_466]) ).

cnf(c_0_526,plain,
    product(a123,a124) = product(a100,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_467]),c_0_468]),c_0_471]) ).

cnf(c_0_527,plain,
    product(a101,a117) = product(a114,a14),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_448]),c_0_511]),c_0_512]) ).

cnf(c_0_528,plain,
    product(product(a80,a33),a13) = product(a77,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_270]),c_0_250]),c_0_148]) ).

cnf(c_0_529,plain,
    product(product(a79,a80),a118) = a80,
    inference(spm,[status(thm)],[c_0_147,c_0_515]) ).

cnf(c_0_530,plain,
    product(product(a79,a70),a118) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_278]) ).

cnf(c_0_531,plain,
    product(product(a124,a14),a32) = product(a108,a73),
    inference(rw,[status(thm)],[c_0_516,c_0_371]) ).

cnf(c_0_532,plain,
    product(a71,a70) = a79,
    inference(rw,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_533,plain,
    product(a70,a109) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_519,c_0_504]),c_0_147]),c_0_504]) ).

cnf(c_0_534,plain,
    product(product(a75,a13),a33) = a73,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_520]),c_0_182]) ).

cnf(c_0_535,plain,
    product(product(X1,a122),a68) = product(product(X1,a68),a121),
    inference(spm,[status(thm)],[c_0_145,c_0_180]) ).

cnf(c_0_536,plain,
    product(a121,a122) = product(a124,a115),
    inference(rw,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_537,plain,
    product(product(X1,a115),a68) = product(product(X1,a68),a114),
    inference(spm,[status(thm)],[c_0_145,c_0_181]) ).

cnf(c_0_538,plain,
    product(product(a124,a68),a114) = product(a121,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_192]),c_0_184]),c_0_187]) ).

cnf(c_0_539,plain,
    product(a122,a121) = a99,
    inference(rw,[status(thm)],[c_0_478,c_0_522]) ).

cnf(c_0_540,plain,
    product(a99,product(a100,a122)) = product(a100,a115),
    inference(rw,[status(thm)],[c_0_525,c_0_526]) ).

cnf(c_0_541,plain,
    product(a100,a122) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_527]),c_0_147]),c_0_172]),c_0_179]) ).

cnf(c_0_542,plain,
    product(product(a80,a13),a32) = product(a77,a121),
    inference(rw,[status(thm)],[c_0_528,c_0_498]) ).

cnf(c_0_543,plain,
    product(a69,a32) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_544,plain,
    a81 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_504]),c_0_530]),c_0_504]) ).

cnf(c_0_545,plain,
    product(product(a124,a14),a32) = product(a109,a81),
    inference(rw,[status(thm)],[c_0_531,c_0_385]) ).

cnf(c_0_546,plain,
    product(a79,a109) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_532]),c_0_533]),c_0_367]) ).

cnf(c_0_547,plain,
    product(a73,a33) = product(a75,a13),
    inference(spm,[status(thm)],[c_0_147,c_0_534]) ).

cnf(c_0_548,plain,
    product(product(X1,a77),a114) = product(product(X1,a114),a76),
    inference(spm,[status(thm)],[c_0_145,c_0_184]) ).

cnf(c_0_549,plain,
    product(a121,a77) = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_536]),c_0_537]),c_0_538]),c_0_150]),c_0_539]) ).

cnf(c_0_550,plain,
    product(a99,a114) = product(a100,a115),
    inference(rw,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_551,plain,
    product(a77,a121) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_504]),c_0_305]),c_0_543]) ).

cnf(c_0_552,plain,
    product(a76,a68) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_170]) ).

cnf(c_0_553,plain,
    product(product(a121,a77),a68) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_538]),c_0_147]) ).

cnf(c_0_554,plain,
    product(a122,product(a75,a122)) = product(a115,a122),
    inference(spm,[status(thm)],[c_0_192,c_0_328]) ).

cnf(c_0_555,plain,
    product(a121,a76) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_328]),c_0_181]),c_0_180]) ).

cnf(c_0_556,plain,
    product(a73,a118) = product(a70,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_544]),c_0_185]) ).

cnf(c_0_557,plain,
    product(product(X1,a32),a13) = product(product(X1,a14),a32),
    inference(rw,[status(thm)],[c_0_182,c_0_369]) ).

cnf(c_0_558,plain,
    product(product(a124,a14),a32) = a110,
    inference(rw,[status(thm)],[c_0_545,c_0_443]) ).

cnf(c_0_559,plain,
    product(a78,product(a109,a33)) = product(a75,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_546]),c_0_547]) ).

cnf(c_0_560,plain,
    product(product(a109,a13),a32) = product(a100,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_246,c_0_366]),c_0_160]),c_0_172]),c_0_179]),c_0_445]),c_0_466]) ).

cnf(c_0_561,plain,
    product(a100,a115) = product(a124,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_550]),c_0_268]),c_0_524]) ).

cnf(c_0_562,plain,
    product(a68,a121) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_551]) ).

cnf(c_0_563,plain,
    product(a77,a68) = product(a75,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_176]),c_0_552]) ).

cnf(c_0_564,plain,
    product(product(a124,a115),a75) = product(a123,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_450]),c_0_179]),c_0_445]) ).

cnf(c_0_565,plain,
    product(product(a124,a115),a68) = product(a121,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_553]) ).

cnf(c_0_566,plain,
    product(product(a122,X1),a68) = product(a121,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_180]) ).

cnf(c_0_567,plain,
    product(a122,product(a75,a122)) = a124,
    inference(rw,[status(thm)],[c_0_554,c_0_350]) ).

cnf(c_0_568,plain,
    product(product(a75,X1),a68) = product(a76,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_170]) ).

cnf(c_0_569,plain,
    product(a121,product(a76,a121)) = product(a114,a121),
    inference(spm,[status(thm)],[c_0_192,c_0_555]) ).

cnf(c_0_570,plain,
    product(product(a115,a124),product(a123,a122)) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_449]) ).

cnf(c_0_571,plain,
    product(product(a70,a110),a32) = product(a74,a117),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_556]),c_0_334]) ).

cnf(c_0_572,plain,
    product(product(a74,X1),a14) = product(a75,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_158]) ).

cnf(c_0_573,plain,
    product(product(a70,X1),a13) = product(a69,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_305]) ).

cnf(c_0_574,plain,
    product(a110,a13) = product(a124,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_558]),c_0_147]) ).

cnf(c_0_575,plain,
    product(product(a69,X1),a32) = product(a68,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_543]) ).

cnf(c_0_576,plain,
    product(a77,product(a124,a68)) = a75,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_559]),c_0_147]),c_0_498]),c_0_560]),c_0_561]) ).

cnf(c_0_577,plain,
    product(a75,a115) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_562]),c_0_563]),c_0_150]) ).

cnf(c_0_578,plain,
    product(product(a121,a77),a76) = product(product(a123,a122),a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_564]),c_0_565]) ).

cnf(c_0_579,plain,
    product(product(a114,a77),a121) = product(a121,product(a114,a121)),
    inference(spm,[status(thm)],[c_0_192,c_0_268]) ).

cnf(c_0_580,plain,
    product(a114,a121) = product(a124,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_568]),c_0_180]),c_0_569]) ).

cnf(c_0_581,plain,
    product(product(a100,a75),product(a100,a115)) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_570,c_0_468]),c_0_466]) ).

cnf(c_0_582,plain,
    product(a75,a122) = product(a68,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_160,c_0_571]),c_0_572]),c_0_172]),c_0_179]),c_0_573]),c_0_574]),c_0_575]),c_0_147]) ).

cnf(c_0_583,plain,
    product(product(a68,a122),a124) = a76,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_576]),c_0_170]),c_0_563]),c_0_577]) ).

cnf(c_0_584,plain,
    product(product(a77,X1),a114) = product(a76,product(X1,a114)),
    inference(spm,[status(thm)],[c_0_145,c_0_184]) ).

cnf(c_0_585,plain,
    product(product(a121,a77),a76) = product(a121,product(a124,a68)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_578,c_0_535]),c_0_292]),c_0_579]),c_0_580]) ).

cnf(c_0_586,plain,
    product(a121,product(a124,a68)) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_522]),c_0_561]) ).

cnf(c_0_587,plain,
    product(a75,product(a124,a68)) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_576]) ).

cnf(c_0_588,plain,
    product(product(a68,a122),a75) = product(a68,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_577]),c_0_179]),c_0_582]) ).

cnf(c_0_589,plain,
    product(a76,a122) = product(a68,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_583]),c_0_337]) ).

cnf(c_0_590,plain,
    product(a111,product(a119,a79)) = product(a119,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_311]),c_0_321]) ).

cnf(c_0_591,plain,
    product(product(X1,a118),a71) = product(product(X1,a70),a118),
    inference(spm,[status(thm)],[c_0_145,c_0_407]) ).

cnf(c_0_592,plain,
    product(a76,a99) = product(a75,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_576]),c_0_538]),c_0_549]) ).

cnf(c_0_593,plain,
    product(a99,a76) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_585,c_0_549]),c_0_586]) ).

cnf(c_0_594,plain,
    product(a76,a124) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_587]),c_0_563]),c_0_577]),c_0_170]) ).

cnf(c_0_595,plain,
    product(product(a68,a124),a123) = product(a76,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_588]),c_0_583]) ).

cnf(c_0_596,plain,
    product(a75,a121) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_589]),c_0_192]),c_0_181]),c_0_552]) ).

cnf(c_0_597,plain,
    product(a121,a75) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_522]) ).

cnf(c_0_598,plain,
    product(product(a100,a115),a122) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_347]),c_0_269]) ).

cnf(c_0_599,plain,
    product(a99,a121) = a122,
    inference(rw,[status(thm)],[c_0_471,c_0_522]) ).

cnf(c_0_600,plain,
    product(a110,product(a119,a80)) = product(a119,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_590]),c_0_192]),c_0_210]),c_0_209]),c_0_185]) ).

cnf(c_0_601,plain,
    product(a110,a118) = product(a108,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_279]),c_0_221]) ).

cnf(c_0_602,plain,
    product(a108,product(a109,a81)) = product(a118,a109),
    inference(rw,[status(thm)],[c_0_400,c_0_385]) ).

cnf(c_0_603,plain,
    product(product(a75,a114),a76) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_592]),c_0_593]),c_0_594]) ).

cnf(c_0_604,plain,
    product(product(a76,a75),a124) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_595]),c_0_526]),c_0_541]) ).

cnf(c_0_605,plain,
    product(product(a68,a114),a75) = product(a75,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_596]),c_0_597]) ).

cnf(c_0_606,plain,
    product(product(a99,a122),a100) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_540]),c_0_598]) ).

cnf(c_0_607,plain,
    product(a124,product(a68,a124)) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_561]),c_0_192]),c_0_468]),c_0_522]),c_0_599]) ).

cnf(c_0_608,plain,
    product(a108,a71) = product(a119,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_600,c_0_427]),c_0_601]) ).

cnf(c_0_609,plain,
    product(a108,a110) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_443]),c_0_448]) ).

cnf(c_0_610,plain,
    product(a112,a110) = product(a111,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_415]),c_0_319]),c_0_394]),c_0_306]) ).

cnf(c_0_611,plain,
    product(product(a68,a122),a114) = product(a75,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_603]),c_0_147]) ).

cnf(c_0_612,plain,
    product(a76,a123) = product(a75,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_604]),c_0_605]),c_0_477]) ).

cnf(c_0_613,plain,
    product(product(a100,a115),a123) = product(a123,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_466]),c_0_457]) ).

cnf(c_0_614,plain,
    product(a123,a100) = product(a99,a122),
    inference(spm,[status(thm)],[c_0_147,c_0_606]) ).

cnf(c_0_615,plain,
    product(product(a68,a124),a122) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_582]) ).

cnf(c_0_616,plain,
    product(a122,product(a68,a124)) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_607]) ).

cnf(c_0_617,plain,
    product(product(a70,X1),a118) = product(a71,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_407]) ).

cnf(c_0_618,plain,
    product(a119,a110) = product(a118,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_435]),c_0_608]) ).

cnf(c_0_619,plain,
    product(a111,a80) = a108,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_609]),c_0_610]) ).

cnf(c_0_620,plain,
    product(a76,product(a68,a122)) = product(a77,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_267,c_0_611]),c_0_568]),c_0_563]),c_0_577]),c_0_192]),c_0_180]),c_0_562]) ).

cnf(c_0_621,plain,
    product(product(a75,a100),a123) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_612]) ).

cnf(c_0_622,plain,
    product(a99,a122) = product(a114,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_541]),c_0_613]),c_0_614]) ).

cnf(c_0_623,plain,
    product(a75,product(a68,a124)) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_615]),c_0_616]),c_0_147]) ).

cnf(c_0_624,plain,
    product(a71,product(a118,a73)) = a73,
    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_556]),c_0_617]),c_0_601]),c_0_608]),c_0_618]) ).

cnf(c_0_625,plain,
    product(a73,a109) = product(a71,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_367]),c_0_383]) ).

cnf(c_0_626,plain,
    product(a118,a82) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_619]),c_0_306]),c_0_315]),c_0_415]) ).

cnf(c_0_627,plain,
    product(product(a77,a115),a122) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_620]),c_0_589]),c_0_192]),c_0_181]) ).

cnf(c_0_628,plain,
    product(a75,product(a114,a115)) = product(a76,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_621]),c_0_614]),c_0_622]) ).

cnf(c_0_629,plain,
    product(product(a76,X1),a114) = product(a77,product(X1,a114)),
    inference(spm,[status(thm)],[c_0_145,c_0_176]) ).

cnf(c_0_630,plain,
    product(a76,product(a124,a68)) = product(a68,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_623]),c_0_568]) ).

cnf(c_0_631,plain,
    product(a77,a99) = product(a68,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_551]),c_0_549]) ).

cnf(c_0_632,plain,
    product(a72,a111) = 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_446,c_0_624]),c_0_625]),c_0_544]),c_0_517]),c_0_518]),c_0_410]),c_0_626]) ).

cnf(c_0_633,plain,
    product(a111,a82) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_626]) ).

cnf(c_0_634,plain,
    product(product(a70,a119),a110) = product(a72,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_374]),c_0_517]) ).

cnf(c_0_635,plain,
    product(product(a68,a114),a122) = product(a77,a115),
    inference(spm,[status(thm)],[c_0_147,c_0_627]) ).

cnf(c_0_636,plain,
    product(product(a76,a100),a115) = product(a75,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_628]),c_0_577]),c_0_611]) ).

cnf(c_0_637,plain,
    product(product(a100,a75),a115) = product(a124,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_468]),c_0_470]) ).

cnf(c_0_638,plain,
    product(product(a68,a124),a114) = product(a68,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_538]),c_0_549]),c_0_631]) ).

cnf(c_0_639,plain,
    product(a114,a124) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_541]),c_0_445]),c_0_466]),c_0_510]) ).

cnf(c_0_640,plain,
    product(a79,a82) = product(a70,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_632]),c_0_633]),c_0_556]) ).

cnf(c_0_641,plain,
    product(product(a79,a111),a70) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_320]) ).

cnf(c_0_642,plain,
    product(a79,a111) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_632]) ).

cnf(c_0_643,plain,
    product(a72,a70) = product(a79,a110),
    inference(rw,[status(thm)],[c_0_634,c_0_518]) ).

cnf(c_0_644,plain,
    product(a73,a110) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_533]),c_0_185]) ).

cnf(c_0_645,plain,
    product(product(a68,a115),a121) = product(a75,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_535,c_0_635]),c_0_537]),c_0_563]),c_0_577]),c_0_611]),c_0_267]),c_0_185]) ).

cnf(c_0_646,plain,
    product(product(a75,a77),a115) = product(a76,a100),
    inference(spm,[status(thm)],[c_0_147,c_0_636]) ).

cnf(c_0_647,plain,
    product(a121,a115) = product(a124,a123),
    inference(rw,[status(thm)],[c_0_637,c_0_522]) ).

cnf(c_0_648,plain,
    product(product(a68,a77),a124) = product(a68,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_638]),c_0_639]) ).

cnf(c_0_649,plain,
    product(product(a70,a110),a82) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_640]) ).

cnf(c_0_650,plain,
    product(a79,a110) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_641,c_0_642]),c_0_643]) ).

cnf(c_0_651,plain,
    product(a82,a110) = a73,
    inference(spm,[status(thm)],[c_0_147,c_0_644]) ).

cnf(c_0_652,plain,
    product(product(a124,a68),a121) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_580]) ).

cnf(c_0_653,axiom,
    a88 = product(a87,a4),
    knot_88 ).

cnf(c_0_654,plain,
    product(a68,product(a124,a123)) = product(a76,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_645]),c_0_646]),c_0_647]) ).

cnf(c_0_655,plain,
    product(product(a68,a123),a124) = product(a68,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_648]) ).

cnf(c_0_656,plain,
    product(a114,a122) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_541]) ).

cnf(c_0_657,plain,
    product(a70,a73) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_649]),c_0_650]),c_0_651]) ).

cnf(c_0_658,plain,
    product(a83,a70) = a72,
    inference(rw,[status(thm)],[c_0_320,c_0_642]) ).

cnf(c_0_659,plain,
    product(a111,a33) = product(a113,a78),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_208]),c_0_492]) ).

cnf(c_0_660,plain,
    product(a77,product(a114,a77)) = product(a76,a77),
    inference(spm,[status(thm)],[c_0_192,c_0_184]) ).

cnf(c_0_661,plain,
    product(a114,a77) = product(a124,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_586]),c_0_652]),c_0_268]) ).

cnf(c_0_662,plain,
    product(product(a68,a115),a122) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_589]) ).

cnf(c_0_663,axiom,
    a89 = product(a88,a14),
    knot_89 ).

cnf(c_0_664,plain,
    product(product(X1,a87),a4) = product(product(X1,a4),a88),
    inference(spm,[status(thm)],[c_0_145,c_0_653]) ).

cnf(c_0_665,axiom,
    a41 = product(a40,a14),
    knot_41 ).

cnf(c_0_666,plain,
    product(product(a76,a100),a123) = product(a68,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_654]),c_0_655]) ).

cnf(c_0_667,plain,
    product(product(a75,a77),a122) = product(a68,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_611]),c_0_656]) ).

cnf(c_0_668,plain,
    product(a69,product(a75,a32)) = product(a83,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_657]),c_0_520]) ).

cnf(c_0_669,plain,
    product(product(a83,a13),a69) = product(a72,a13),
    inference(spm,[status(thm)],[c_0_314,c_0_658]) ).

cnf(c_0_670,plain,
    product(product(a75,a32),a69) = product(a76,a32),
    inference(spm,[status(thm)],[c_0_149,c_0_170]) ).

cnf(c_0_671,plain,
    product(a78,product(a113,a78)) = product(a72,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_642]),c_0_659]) ).

cnf(c_0_672,plain,
    product(a77,product(a124,a121)) = product(a76,a77),
    inference(rw,[status(thm)],[c_0_660,c_0_661]) ).

cnf(c_0_673,plain,
    product(product(X1,a76),a68) = product(product(X1,a68),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_552]) ).

cnf(c_0_674,plain,
    product(a76,a115) = product(a68,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_662]),c_0_147]) ).

cnf(c_0_675,plain,
    product(a105,a30) = a104,
    inference(spm,[status(thm)],[c_0_147,c_0_200]) ).

cnf(c_0_676,plain,
    product(product(X1,a88),a14) = product(product(X1,a14),a89),
    inference(spm,[status(thm)],[c_0_145,c_0_663]) ).

cnf(c_0_677,plain,
    product(a102,a88) = product(a104,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_190]),c_0_230]) ).

cnf(c_0_678,plain,
    product(product(X1,a40),a14) = product(product(X1,a14),a41),
    inference(spm,[status(thm)],[c_0_145,c_0_665]) ).

cnf(c_0_679,plain,
    product(a122,product(a100,a115)) = product(a100,a122),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_457]),c_0_466]) ).

cnf(c_0_680,plain,
    product(a76,product(a114,a76)) = product(a77,a76),
    inference(spm,[status(thm)],[c_0_192,c_0_176]) ).

cnf(c_0_681,plain,
    product(product(a68,a77),a115) = product(a68,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_666]),c_0_636]),c_0_667]) ).

cnf(c_0_682,plain,
    product(product(a124,a68),a115) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_561]) ).

cnf(c_0_683,plain,
    product(a68,product(a124,a68)) = product(a76,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_582]),c_0_192]),c_0_170]) ).

cnf(c_0_684,plain,
    product(a69,product(a76,a32)) = product(a72,a13),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_668]),c_0_669]),c_0_670]) ).

cnf(c_0_685,plain,
    product(product(a72,a13),a32) = 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_513,c_0_671]),c_0_498]),c_0_249]),c_0_500]),c_0_661]),c_0_672]) ).

cnf(c_0_686,plain,
    product(product(a68,a75),a124) = 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_673,c_0_603]),c_0_192]),c_0_180]),c_0_562]),c_0_568]),c_0_173]),c_0_674]),c_0_459]) ).

cnf(c_0_687,plain,
    product(a106,a31) = product(a104,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_675]),c_0_213]) ).

cnf(c_0_688,axiom,
    a90 = product(a89,a41),
    knot_90 ).

cnf(c_0_689,plain,
    product(product(a102,a14),a89) = product(product(a104,a4),a14),
    inference(spm,[status(thm)],[c_0_676,c_0_677]) ).

cnf(c_0_690,plain,
    product(a102,a14) = product(a100,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_218]),c_0_312]) ).

cnf(c_0_691,plain,
    product(a89,a14) = a88,
    inference(spm,[status(thm)],[c_0_147,c_0_663]) ).

cnf(c_0_692,axiom,
    a127 = product(a126,a41),
    knot_127 ).

cnf(c_0_693,plain,
    product(product(a100,a122),product(a100,a115)) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_679]) ).

cnf(c_0_694,plain,
    product(product(a100,a115),product(a100,a122)) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_540]) ).

cnf(c_0_695,plain,
    product(a77,a76) = product(a76,a121),
    inference(rw,[status(thm)],[c_0_680,c_0_187]) ).

cnf(c_0_696,plain,
    product(product(a68,a100),a115) = product(a68,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_681]) ).

cnf(c_0_697,plain,
    product(a100,a68) = product(a124,a114),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_682]),c_0_147]) ).

cnf(c_0_698,plain,
    product(product(a68,a114),a124) = product(a76,a75),
    inference(spm,[status(thm)],[c_0_147,c_0_604]) ).

cnf(c_0_699,plain,
    product(a76,a121) = 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_204,c_0_615]),c_0_445]),c_0_466]),c_0_561]),c_0_683]) ).

cnf(c_0_700,plain,
    product(a76,a77) = product(a68,a76),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_684]),c_0_685]),c_0_543]) ).

cnf(c_0_701,plain,
    product(product(a68,a115),a123) = a75,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_577]),c_0_463]) ).

cnf(c_0_702,plain,
    product(a68,product(a124,a121)) = product(a75,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_674]),c_0_192]),c_0_292]),c_0_661]),c_0_552]) ).

cnf(c_0_703,plain,
    product(a77,a124) = product(a68,a75),
    inference(spm,[status(thm)],[c_0_147,c_0_686]) ).

cnf(c_0_704,plain,
    product(product(a106,a39),a32) = product(product(a104,a5),a39),
    inference(spm,[status(thm)],[c_0_272,c_0_687]) ).

cnf(c_0_705,plain,
    product(product(X1,a89),a41) = product(product(X1,a41),a90),
    inference(spm,[status(thm)],[c_0_145,c_0_688]) ).

cnf(c_0_706,plain,
    product(product(a100,a41),a89) = product(product(a104,a4),a14),
    inference(rw,[status(thm)],[c_0_689,c_0_690]) ).

cnf(c_0_707,plain,
    product(product(a89,X1),a14) = product(a88,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_691]) ).

cnf(c_0_708,plain,
    product(a41,a14) = a40,
    inference(spm,[status(thm)],[c_0_147,c_0_665]) ).

cnf(c_0_709,axiom,
    a126 = product(a125,a65),
    knot_126 ).

cnf(c_0_710,plain,
    product(a127,a41) = a126,
    inference(spm,[status(thm)],[c_0_147,c_0_692]) ).

cnf(c_0_711,axiom,
    a95 = product(a94,a127),
    knot_95 ).

cnf(c_0_712,axiom,
    a94 = product(a93,a41),
    knot_94 ).

cnf(c_0_713,axiom,
    a65 = product(a64,a41),
    knot_65 ).

cnf(c_0_714,axiom,
    a2 = product(a1,a42),
    knot ).

cnf(c_0_715,axiom,
    a97 = product(a96,a42),
    knot_97 ).

cnf(c_0_716,plain,
    product(product(a100,a68),a76) = a122,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_522]),c_0_150]) ).

cnf(c_0_717,plain,
    product(a114,product(a100,a115)) = a122,
    inference(rw,[status(thm)],[c_0_693,c_0_541]) ).

cnf(c_0_718,plain,
    product(product(a100,a115),a114) = a99,
    inference(rw,[status(thm)],[c_0_694,c_0_541]) ).

cnf(c_0_719,plain,
    product(product(a76,a121),a114) = product(a76,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_695]),c_0_184]) ).

cnf(c_0_720,plain,
    product(product(X1,a121),a68) = product(product(X1,a68),a122),
    inference(spm,[status(thm)],[c_0_145,c_0_150]) ).

cnf(c_0_721,plain,
    product(a68,product(a68,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_696]),c_0_192]),c_0_563]),c_0_577]),c_0_192]),c_0_697]),c_0_246]),c_0_698]) ).

cnf(c_0_722,plain,
    product(product(a75,a124),a114) = product(a68,a76),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_699]),c_0_268]),c_0_661]),c_0_672]),c_0_700]) ).

cnf(c_0_723,plain,
    product(a75,a123) = product(a68,a115),
    inference(spm,[status(thm)],[c_0_147,c_0_701]) ).

cnf(c_0_724,plain,
    product(product(a75,a114),a121) = product(a68,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_702]),c_0_562]),c_0_703]) ).

cnf(c_0_725,plain,
    product(product(a108,a83),a32) = product(product(a104,a5),a39),
    inference(rw,[status(thm)],[c_0_704,c_0_274]) ).

cnf(c_0_726,plain,
    product(a5,a39) = a4,
    inference(spm,[status(thm)],[c_0_147,c_0_228]) ).

cnf(c_0_727,plain,
    product(product(product(a104,a4),a14),a41) = product(a100,a90),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_706]),c_0_147]) ).

cnf(c_0_728,plain,
    product(a90,a14) = product(a88,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_688]),c_0_708]) ).

cnf(c_0_729,axiom,
    a125 = product(a124,a2),
    knot_125 ).

cnf(c_0_730,plain,
    product(a126,a65) = a125,
    inference(spm,[status(thm)],[c_0_147,c_0_709]) ).

cnf(c_0_731,plain,
    product(product(X1,a127),a41) = product(product(X1,a41),a126),
    inference(spm,[status(thm)],[c_0_145,c_0_710]) ).

cnf(c_0_732,plain,
    product(a95,a127) = a94,
    inference(spm,[status(thm)],[c_0_147,c_0_711]) ).

cnf(c_0_733,plain,
    product(a94,a41) = a93,
    inference(spm,[status(thm)],[c_0_147,c_0_712]) ).

cnf(c_0_734,plain,
    product(product(X1,a64),a41) = product(product(X1,a41),a65),
    inference(spm,[status(thm)],[c_0_145,c_0_713]) ).

cnf(c_0_735,axiom,
    a96 = product(a95,a64),
    knot_96 ).

cnf(c_0_736,plain,
    product(product(X1,a42),a2) = product(product(X1,a1),a42),
    inference(spm,[status(thm)],[c_0_145,c_0_714]) ).

cnf(c_0_737,plain,
    product(a97,a42) = a96,
    inference(spm,[status(thm)],[c_0_147,c_0_715]) ).

cnf(c_0_738,axiom,
    a98 = product(a97,a1),
    knot_98 ).

cnf(c_0_739,axiom,
    a42 = product(a41,a2),
    knot_42 ).

cnf(c_0_740,plain,
    product(product(a124,a114),a76) = a122,
    inference(rw,[status(thm)],[c_0_716,c_0_697]) ).

cnf(c_0_741,plain,
    product(a122,a114) = product(a114,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_717]),c_0_718]) ).

cnf(c_0_742,plain,
    product(product(a76,a77),a68) = product(product(a75,a115),a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_719]),c_0_720]),c_0_552]),c_0_463]) ).

cnf(c_0_743,plain,
    product(product(a76,X1),a68) = product(a75,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_552]) ).

cnf(c_0_744,plain,
    product(product(a76,a75),a122) = a77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_721]),c_0_192]),c_0_180]),c_0_562]) ).

cnf(c_0_745,plain,
    product(product(a68,a76),a124) = product(a68,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_722]),c_0_639]),c_0_723]) ).

cnf(c_0_746,plain,
    product(product(a68,a123),a122) = product(a68,a76),
    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_720,c_0_724]),c_0_178]),c_0_185]),c_0_568]),c_0_173]),c_0_674]) ).

cnf(c_0_747,plain,
    product(product(a104,a5),a39) = product(product(a109,a32),a74),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_725,c_0_399]),c_0_494]) ).

cnf(c_0_748,plain,
    product(product(X1,a5),a39) = product(product(X1,a39),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_726]) ).

cnf(c_0_749,plain,
    product(product(a104,a39),a4) = product(a101,product(a88,a40)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_727]),c_0_346]),c_0_708]),c_0_229]),c_0_728]) ).

cnf(c_0_750,plain,
    product(product(a100,a115),a75) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_466]),c_0_328]) ).

cnf(c_0_751,axiom,
    a99 = product(a98,a92),
    knot_99 ).

cnf(c_0_752,axiom,
    a92 = product(a91,a124),
    knot_92 ).

cnf(c_0_753,plain,
    product(a125,a2) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_729]) ).

cnf(c_0_754,plain,
    product(product(X1,a126),a65) = product(product(X1,a65),a125),
    inference(spm,[status(thm)],[c_0_145,c_0_730]) ).

cnf(c_0_755,plain,
    product(product(a95,a41),a126) = a93,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_732]),c_0_733]) ).

cnf(c_0_756,plain,
    product(product(a95,a41),a65) = product(a96,a41),
    inference(spm,[status(thm)],[c_0_734,c_0_735]) ).

cnf(c_0_757,axiom,
    a66 = product(a65,a2),
    knot_66 ).

cnf(c_0_758,axiom,
    a93 = product(a92,a2),
    knot_93 ).

cnf(c_0_759,plain,
    product(a98,a42) = product(a96,a2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_737]),c_0_738]) ).

cnf(c_0_760,plain,
    product(product(X1,a2),a42) = product(product(X1,a41),a2),
    inference(spm,[status(thm)],[c_0_145,c_0_739]) ).

cnf(c_0_761,plain,
    product(a114,a99) = product(a124,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_740]),c_0_741]),c_0_147]) ).

cnf(c_0_762,plain,
    product(a99,product(a75,a124)) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_347]),c_0_328]),c_0_467]) ).

cnf(c_0_763,plain,
    product(product(a75,a115),a123) = product(a75,product(a75,a115)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_742,c_0_743]),c_0_563]) ).

cnf(c_0_764,plain,
    product(a77,a122) = product(a76,a75),
    inference(spm,[status(thm)],[c_0_147,c_0_744]) ).

cnf(c_0_765,plain,
    product(a75,a76) = product(a68,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_192,c_0_721]),c_0_178]),c_0_552]),c_0_192]),c_0_180]),c_0_562]) ).

cnf(c_0_766,plain,
    product(product(a68,a115),a124) = product(a68,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_745]) ).

cnf(c_0_767,plain,
    product(product(a68,a76),a115) = product(a75,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_746]),c_0_456]),c_0_662]),c_0_612]) ).

cnf(c_0_768,plain,
    product(product(a124,a68),a76) = product(a123,a68),
    inference(spm,[status(thm)],[c_0_178,c_0_477]) ).

cnf(c_0_769,plain,
    product(a76,product(a124,a121)) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_551]),c_0_268]),c_0_661]) ).

cnf(c_0_770,plain,
    product(product(a109,a32),a74) = product(a101,product(a88,a40)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_747,c_0_748]),c_0_749]) ).

cnf(c_0_771,plain,
    product(product(a88,X1),a14) = product(a89,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_663]) ).

cnf(c_0_772,plain,
    product(a123,product(a68,a75)) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_750,c_0_561]),c_0_487]) ).

cnf(c_0_773,plain,
    product(product(a124,a123),a100) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_581]),c_0_637]) ).

cnf(c_0_774,plain,
    product(a99,a92) = a98,
    inference(spm,[status(thm)],[c_0_147,c_0_751]) ).

cnf(c_0_775,plain,
    product(a92,a124) = a91,
    inference(spm,[status(thm)],[c_0_147,c_0_752]) ).

cnf(c_0_776,plain,
    product(product(X1,a125),a2) = product(product(X1,a2),a124),
    inference(spm,[status(thm)],[c_0_145,c_0_753]) ).

cnf(c_0_777,plain,
    product(product(a96,a41),a125) = product(a93,a65),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_755]),c_0_756]) ).

cnf(c_0_778,plain,
    product(product(X1,a65),a2) = product(product(X1,a2),a66),
    inference(spm,[status(thm)],[c_0_145,c_0_757]) ).

cnf(c_0_779,plain,
    product(a93,a2) = a92,
    inference(spm,[status(thm)],[c_0_147,c_0_758]) ).

cnf(c_0_780,plain,
    product(product(a96,a41),a2) = a98,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_759]),c_0_760]) ).

cnf(c_0_781,plain,
    product(a99,product(a76,a99)) = product(a124,a99),
    inference(spm,[status(thm)],[c_0_192,c_0_593]) ).

cnf(c_0_782,plain,
    product(a114,product(a124,a77)) = product(a100,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_656]),c_0_741]),c_0_761]) ).

cnf(c_0_783,plain,
    product(a121,a124) = a115,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_522]),c_0_762]) ).

cnf(c_0_784,plain,
    product(a115,product(a123,a122)) = product(a124,product(a115,a124)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_455]),c_0_192]),c_0_445]) ).

cnf(c_0_785,plain,
    product(product(a68,a124),a75) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_582]),c_0_328]),c_0_577]) ).

cnf(c_0_786,plain,
    product(product(a68,a122),a123) = product(a75,product(a68,a122)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_763,c_0_577]),c_0_577]) ).

cnf(c_0_787,plain,
    product(product(a123,X1),a115) = product(a122,product(X1,a115)),
    inference(spm,[status(thm)],[c_0_145,c_0_327]) ).

cnf(c_0_788,plain,
    product(product(a68,a122),a121) = product(a68,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_535,c_0_764]),c_0_178]),c_0_552]),c_0_765]),c_0_563]),c_0_577]) ).

cnf(c_0_789,plain,
    product(a68,product(a124,a115)) = product(a75,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_766]),c_0_767]) ).

cnf(c_0_790,plain,
    product(a124,a76) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_593]) ).

cnf(c_0_791,plain,
    product(product(a68,a124),a76) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_630]),c_0_768]),c_0_292]),c_0_661]),c_0_769]) ).

cnf(c_0_792,plain,
    product(a100,a90) = product(a124,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(spm,[status(thm)],[c_0_166,c_0_770]),c_0_323]),c_0_771]),c_0_665]),c_0_688]),c_0_160]),c_0_560]),c_0_561]),c_0_487]),c_0_772]) ).

cnf(c_0_793,plain,
    product(product(a124,a115),a100) = product(a124,a123),
    inference(spm,[status(thm)],[c_0_147,c_0_773]) ).

cnf(c_0_794,axiom,
    a91 = product(a90,a100),
    knot_91 ).

cnf(c_0_795,plain,
    product(a100,a91) = product(a98,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_774]),c_0_775]) ).

cnf(c_0_796,plain,
    product(a98,a124) = product(a92,a66),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_777]),c_0_778]),c_0_779]),c_0_780]) ).

cnf(c_0_797,plain,
    product(a93,a126) = product(a95,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_711]),c_0_733]) ).

cnf(c_0_798,plain,
    product(a99,product(a75,a114)) = product(a124,a99),
    inference(rw,[status(thm)],[c_0_781,c_0_592]) ).

cnf(c_0_799,plain,
    product(product(a100,a114),a77) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_782]),c_0_661]),c_0_192]),c_0_783]) ).

cnf(c_0_800,plain,
    product(product(a114,a77),a75) = product(a124,product(a68,a75)),
    inference(spm,[status(thm)],[c_0_326,c_0_292]) ).

cnf(c_0_801,plain,
    product(a121,a123) = product(a115,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_522]),c_0_458]),c_0_484]) ).

cnf(c_0_802,plain,
    product(a115,product(a100,a115)) = product(a124,product(a100,a75)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_784,c_0_468]),c_0_466]) ).

cnf(c_0_803,plain,
    product(product(a114,a77),a123) = product(a123,product(a68,a123)),
    inference(spm,[status(thm)],[c_0_192,c_0_292]) ).

cnf(c_0_804,plain,
    product(a115,a121) = product(a100,a68),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_656]),c_0_173]) ).

cnf(c_0_805,plain,
    product(product(a115,a100),product(a124,a115)) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_488]) ).

cnf(c_0_806,plain,
    product(a75,product(a68,a122)) = product(a68,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_785]),c_0_786]),c_0_147]) ).

cnf(c_0_807,plain,
    product(product(a115,a100),a123) = product(a100,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_452]) ).

cnf(c_0_808,plain,
    product(product(a100,a122),a75) = product(a124,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_526]),c_0_477]) ).

cnf(c_0_809,plain,
    product(product(a99,a115),a123) = product(a100,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_614]),c_0_463]),c_0_679]) ).

cnf(c_0_810,plain,
    product(product(a68,a77),a122) = product(a75,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_788]),c_0_536]),c_0_789]) ).

cnf(c_0_811,plain,
    product(a76,product(a124,a114)) = product(a68,a99),
    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_192,c_0_789]),c_0_568]),c_0_697]),c_0_537]),c_0_538]),c_0_549]) ).

cnf(c_0_812,plain,
    product(product(a68,a115),a76) = product(a68,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_745]),c_0_790]) ).

cnf(c_0_813,plain,
    product(product(a68,a114),a76) = product(a68,a124),
    inference(spm,[status(thm)],[c_0_147,c_0_791]) ).

cnf(c_0_814,plain,
    product(a124,a123) = product(a92,a66),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_792]),c_0_793]),c_0_794]),c_0_795]),c_0_796]) ).

cnf(c_0_815,plain,
    product(a99,product(a92,a99)) = product(a98,a99),
    inference(spm,[status(thm)],[c_0_192,c_0_774]) ).

cnf(c_0_816,plain,
    product(product(X1,a99),a124) = product(product(X1,a124),a100),
    inference(spm,[status(thm)],[c_0_145,c_0_452]) ).

cnf(c_0_817,plain,
    product(a91,a100) = a90,
    inference(spm,[status(thm)],[c_0_147,c_0_794]) ).

cnf(c_0_818,plain,
    product(product(a93,a65),a125) = product(a96,a41),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_797]),c_0_756]) ).

cnf(c_0_819,plain,
    product(product(a124,a99),a114) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_798]),c_0_550]),c_0_561]),c_0_487]),c_0_772]) ).

cnf(c_0_820,plain,
    product(product(a124,a115),a114) = product(a100,a76),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_799]),c_0_147]) ).

cnf(c_0_821,plain,
    product(a124,product(a68,a75)) = product(a114,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_800,c_0_661]),c_0_487]),c_0_597]),c_0_614]),c_0_622]) ).

cnf(c_0_822,plain,
    product(product(a124,a123),a122) = product(a124,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_801]),c_0_192]),c_0_802]),c_0_522]),c_0_647]) ).

cnf(c_0_823,plain,
    product(product(a124,a121),a123) = product(a123,product(a68,a123)),
    inference(rw,[status(thm)],[c_0_803,c_0_661]) ).

cnf(c_0_824,plain,
    product(product(a114,a77),a115) = product(a122,product(a68,a115)),
    inference(spm,[status(thm)],[c_0_787,c_0_292]) ).

cnf(c_0_825,plain,
    product(a115,a121) = product(a124,a114),
    inference(rw,[status(thm)],[c_0_804,c_0_697]) ).

cnf(c_0_826,plain,
    product(a115,product(a124,a123)) = product(a124,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_805]),c_0_793]) ).

cnf(c_0_827,plain,
    product(product(a68,a122),a123) = product(a68,a75),
    inference(rw,[status(thm)],[c_0_786,c_0_806]) ).

cnf(c_0_828,plain,
    product(product(a115,a100),a123) = a121,
    inference(rw,[status(thm)],[c_0_807,c_0_522]) ).

cnf(c_0_829,plain,
    product(a114,a75) = product(a124,a123),
    inference(rw,[status(thm)],[c_0_808,c_0_541]) ).

cnf(c_0_830,plain,
    product(product(a100,a122),a123) = product(a99,a115),
    inference(spm,[status(thm)],[c_0_147,c_0_809]) ).

cnf(c_0_831,plain,
    product(product(X1,a121),a76) = product(product(X1,a114),a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_555]),c_0_523]) ).

cnf(c_0_832,plain,
    product(product(a76,a75),a121) = product(a68,a99),
    inference(rw,[status(thm)],[inference(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_535,c_0_810]),c_0_568]),c_0_697]),c_0_811]),c_0_192]),c_0_563]),c_0_577]),c_0_721]) ).

cnf(c_0_833,plain,
    product(product(a68,a99),a76) = product(a68,a115),
    inference(spm,[status(thm)],[c_0_147,c_0_812]) ).

cnf(c_0_834,plain,
    product(product(a75,a114),a77) = product(a68,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_765]),c_0_548]),c_0_813]) ).

cnf(c_0_835,plain,
    product(product(a75,a77),a121) = product(a68,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_535,c_0_627]),c_0_267]),c_0_185]),c_0_537]),c_0_563]),c_0_577]),c_0_611]) ).

cnf(c_0_836,plain,
    product(product(a68,a77),a76) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_765]) ).

cnf(c_0_837,plain,
    product(a68,product(a92,a66)) = product(a76,a100),
    inference(rw,[status(thm)],[c_0_654,c_0_814]) ).

cnf(c_0_838,plain,
    product(product(a98,a124),a100) = product(a100,a90),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_815]),c_0_816]),c_0_816]),c_0_775]),c_0_817]) ).

cnf(c_0_839,plain,
    product(product(a92,a66),a124) = a98,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_818]),c_0_780]),c_0_778]),c_0_779]) ).

cnf(c_0_840,plain,
    product(product(a92,X1),a124) = product(a91,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_775]) ).

cnf(c_0_841,plain,
    product(a100,a76) = product(a124,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_819]),c_0_820]) ).

cnf(c_0_842,plain,
    product(product(a114,a115),a75) = product(a124,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_821]),c_0_477]),c_0_292]),c_0_661]) ).

cnf(c_0_843,plain,
    product(product(a124,a68),a122) = a123,
    inference(rw,[status(thm)],[c_0_598,c_0_561]) ).

cnf(c_0_844,plain,
    product(product(a114,X1),a68) = product(a115,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_173]) ).

cnf(c_0_845,plain,
    product(a123,product(a68,a123)) = product(a124,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_822]),c_0_457]),c_0_823]) ).

cnf(c_0_846,plain,
    product(a114,product(a124,a114)) = product(a123,a114),
    inference(spm,[status(thm)],[c_0_192,c_0_639]) ).

cnf(c_0_847,plain,
    product(product(a124,a121),a115) = product(a122,product(a68,a115)),
    inference(rw,[status(thm)],[c_0_824,c_0_661]) ).

cnf(c_0_848,plain,
    product(product(a124,a114),a115) = product(a124,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_825]),c_0_647]),c_0_826]) ).

cnf(c_0_849,plain,
    product(product(a114,a115),product(a68,a75)) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_821]) ).

cnf(c_0_850,plain,
    product(product(a68,a75),a115) = product(a68,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_827]),c_0_463]),c_0_701]),c_0_582]) ).

cnf(c_0_851,plain,
    product(product(a124,a121),a122) = product(a124,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_828]),c_0_647]),c_0_192]),c_0_802]),c_0_522]) ).

cnf(c_0_852,plain,
    product(product(a124,a123),a68) = product(a115,a76),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_829]),c_0_173]) ).

cnf(c_0_853,plain,
    product(a122,a114) = product(a124,a77),
    inference(rw,[status(thm)],[c_0_741,c_0_761]) ).

cnf(c_0_854,plain,
    product(a122,a100) = product(a99,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_497]),c_0_327]) ).

cnf(c_0_855,plain,
    product(a99,a115) = product(a114,a123),
    inference(rw,[status(thm)],[c_0_830,c_0_541]) ).

cnf(c_0_856,plain,
    product(a77,product(a68,a124)) = product(a68,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_832]),c_0_833]),c_0_629]),c_0_192]),c_0_834]) ).

cnf(c_0_857,plain,
    product(product(a68,a115),a77) = product(a75,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_835]),c_0_549]) ).

cnf(c_0_858,plain,
    product(product(a68,a124),a77) = product(a75,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_836]),c_0_548]),c_0_813]) ).

cnf(c_0_859,plain,
    product(product(a76,a100),product(a92,a66)) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_837]) ).

cnf(c_0_860,plain,
    product(product(a92,a66),a100) = product(a100,a90),
    inference(rw,[status(thm)],[c_0_838,c_0_796]) ).

cnf(c_0_861,plain,
    product(a91,product(a66,a124)) = a98,
    inference(rw,[status(thm)],[c_0_839,c_0_840]) ).

cnf(c_0_862,axiom,
    a68 = product(a67,a98),
    knot_68 ).

cnf(c_0_863,plain,
    product(product(a124,a99),a76) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_841]) ).

cnf(c_0_864,plain,
    product(a123,a124) = a114,
    inference(rw,[status(thm)],[c_0_526,c_0_541]) ).

cnf(c_0_865,plain,
    product(product(a115,a114),a76) = a123,
    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_842]),c_0_720]),c_0_843]),c_0_844]),c_0_181]) ).

cnf(c_0_866,plain,
    product(product(a124,a100),a123) = product(a124,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_845]),c_0_147]),c_0_292]),c_0_661]) ).

cnf(c_0_867,plain,
    product(a122,product(a68,a115)) = product(a115,a100),
    inference(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_844,c_0_846]),c_0_267]),c_0_292]),c_0_661]),c_0_267]),c_0_682]),c_0_847]) ).

cnf(c_0_868,plain,
    product(product(a124,a100),a115) = product(a124,a114),
    inference(spm,[status(thm)],[c_0_147,c_0_848]) ).

cnf(c_0_869,plain,
    product(a114,product(a68,a124)) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_849]),c_0_850]) ).

cnf(c_0_870,plain,
    product(product(a124,a123),a121) = product(a124,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_851]),c_0_539]) ).

cnf(c_0_871,plain,
    product(a115,a76) = product(a124,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_647]),c_0_150]),c_0_741]),c_0_852]),c_0_761]) ).

cnf(c_0_872,plain,
    product(product(a124,a77),a122) = product(a114,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_853]),c_0_656]),c_0_854]),c_0_855]) ).

cnf(c_0_873,plain,
    product(product(a92,a66),a75) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_814]),c_0_477]),c_0_526]),c_0_541]) ).

cnf(c_0_874,plain,
    product(a77,product(a75,a114)) = product(a75,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_856]),c_0_857]),c_0_858]) ).

cnf(c_0_875,plain,
    product(a76,product(a124,a115)) = product(a68,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_859]),c_0_860]),c_0_792]) ).

cnf(c_0_876,plain,
    product(a124,a114) = a98,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_814]),c_0_840]),c_0_861]),c_0_526]),c_0_541]) ).

cnf(c_0_877,plain,
    product(a68,a98) = a67,
    inference(spm,[status(thm)],[c_0_147,c_0_862]) ).

cnf(c_0_878,plain,
    product(a124,product(a75,a114)) = product(a100,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_863]),c_0_592]) ).

cnf(c_0_879,plain,
    product(a123,product(a124,a123)) = product(a114,a123),
    inference(spm,[status(thm)],[c_0_192,c_0_864]) ).

cnf(c_0_880,plain,
    product(a123,a114) = product(a115,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_865]),c_0_147]) ).

cnf(c_0_881,plain,
    product(product(a124,a114),a122) = product(a115,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_866]),c_0_847]),c_0_867]),c_0_868]) ).

cnf(c_0_882,plain,
    product(product(a115,X1),a68) = product(a114,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_181]) ).

cnf(c_0_883,plain,
    product(a114,product(a68,a77)) = product(a124,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_869]),c_0_820]),c_0_841]),c_0_638]) ).

cnf(c_0_884,plain,
    product(product(a124,a99),a68) = product(a114,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_870]),c_0_852]),c_0_871]),c_0_872]) ).

cnf(c_0_885,plain,
    product(a114,a123) = product(a98,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_873]),c_0_840]),c_0_861]) ).

cnf(c_0_886,plain,
    product(product(a75,a99),a114) = product(a76,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_874]),c_0_184]) ).

cnf(c_0_887,plain,
    product(a75,a99) = a67,
    inference(rw,[status(thm)],[inference(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_743,c_0_875]),c_0_192]),c_0_697]),c_0_876]),c_0_877]),c_0_537]),c_0_538]),c_0_549]) ).

cnf(c_0_888,plain,
    product(product(a100,a99),a114) = product(a114,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_878]),c_0_487]),c_0_829]),c_0_879]) ).

cnf(c_0_889,plain,
    product(a114,product(a124,a114)) = product(a115,a77),
    inference(rw,[status(thm)],[c_0_846,c_0_880]) ).

cnf(c_0_890,plain,
    product(a115,a77) = product(a100,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_535,c_0_881]),c_0_882]),c_0_697]),c_0_846]),c_0_880]),c_0_267]),c_0_682]) ).

cnf(c_0_891,plain,
    product(a115,product(a76,a75)) = product(a98,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_844,c_0_883]),c_0_884]),c_0_885]),c_0_192]),c_0_563]),c_0_577]),c_0_721]) ).

cnf(c_0_892,plain,
    product(a76,a75) = product(a67,a114),
    inference(rw,[status(thm)],[c_0_886,c_0_887]) ).

cnf(c_0_893,plain,
    product(product(a100,a99),a114) = product(a98,a75),
    inference(rw,[status(thm)],[c_0_888,c_0_885]) ).

cnf(c_0_894,plain,
    product(a114,product(a124,a114)) = product(a100,a121),
    inference(rw,[status(thm)],[c_0_889,c_0_890]) ).

cnf(c_0_895,plain,
    product(a91,product(a100,a91)) = product(a90,a91),
    inference(spm,[status(thm)],[c_0_192,c_0_817]) ).

cnf(c_0_896,plain,
    product(a115,product(a67,a114)) = product(a98,a75),
    inference(rw,[status(thm)],[c_0_891,c_0_892]) ).

cnf(c_0_897,plain,
    product(product(a98,a75),a114) = product(a100,a99),
    inference(spm,[status(thm)],[c_0_147,c_0_893]) ).

cnf(c_0_898,plain,
    product(a114,product(a100,a121)) = product(a100,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_888]),c_0_192]),c_0_880]),c_0_890]) ).

cnf(c_0_899,plain,
    product(a100,a121) = product(a114,a98),
    inference(rw,[status(thm)],[c_0_894,c_0_876]) ).

cnf(c_0_900,plain,
    product(a91,product(a98,a124)) = product(a90,a91),
    inference(rw,[status(thm)],[c_0_895,c_0_795]) ).

cnf(c_0_901,plain,
    product(product(X1,a91),a124) = product(product(X1,a124),a92),
    inference(spm,[status(thm)],[c_0_145,c_0_752]) ).

cnf(c_0_902,plain,
    product(product(a115,a114),a67) = product(a100,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_896]),c_0_897]) ).

cnf(c_0_903,plain,
    product(a114,product(a114,a98)) = product(a100,a99),
    inference(rw,[status(thm)],[c_0_898,c_0_899]) ).

cnf(c_0_904,plain,
    product(a98,a114) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_876]) ).

cnf(c_0_905,plain,
    product(product(a90,a124),a92) = product(a92,a98),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_900]),c_0_901]),c_0_752]) ).

cnf(c_0_906,plain,
    product(product(X1,a98),a92) = product(product(X1,a92),a99),
    inference(spm,[status(thm)],[c_0_145,c_0_751]) ).

cnf(c_0_907,plain,
    product(product(X1,a67),a98) = product(product(X1,a98),a68),
    inference(spm,[status(thm)],[c_0_145,c_0_862]) ).

cnf(c_0_908,plain,
    product(product(a100,a99),a67) = product(a115,a114),
    inference(spm,[status(thm)],[c_0_147,c_0_902]) ).

cnf(c_0_909,plain,
    product(product(a100,a99),a98) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_903]),c_0_192]),c_0_904]),c_0_639]) ).

cnf(c_0_910,plain,
    product(a90,a124) = product(a92,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_905]),c_0_906]),c_0_185]) ).

cnf(c_0_911,plain,
    product(a114,product(a114,a77)) = product(a121,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_580]),c_0_538]),c_0_268]) ).

cnf(c_0_912,plain,
    product(a122,product(a124,a115)) = product(a114,a115),
    inference(spm,[status(thm)],[c_0_787,c_0_864]) ).

cnf(c_0_913,plain,
    product(product(a115,a114),a98) = product(a124,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_908]),c_0_909]),c_0_292]),c_0_661]) ).

cnf(c_0_914,plain,
    product(product(X1,a99),a92) = product(product(X1,a92),a98),
    inference(spm,[status(thm)],[c_0_145,c_0_774]) ).

cnf(c_0_915,plain,
    product(a98,a99) = product(a124,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_467,c_0_792]),c_0_192]),c_0_468]),c_0_522]),c_0_910]),c_0_815]) ).

cnf(c_0_916,plain,
    product(a114,product(a124,a121)) = a99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_911,c_0_549]),c_0_661]) ).

cnf(c_0_917,plain,
    product(a121,a99) = product(a115,a114),
    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_566,c_0_912]),c_0_844]),c_0_181]),c_0_537]),c_0_538]),c_0_549]) ).

cnf(c_0_918,plain,
    product(product(a124,a121),a98) = product(a115,a114),
    inference(spm,[status(thm)],[c_0_147,c_0_913]) ).

cnf(c_0_919,plain,
    product(product(a124,a121),a92) = product(a99,a98),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_915]),c_0_751]) ).

cnf(c_0_920,plain,
    product(a99,product(a124,a121)) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_916]) ).

cnf(c_0_921,plain,
    product(product(a98,X1),a92) = product(a99,product(X1,a92)),
    inference(spm,[status(thm)],[c_0_145,c_0_751]) ).

cnf(c_0_922,plain,
    product(product(X1,a124),a91) = product(product(X1,a92),a124),
    inference(spm,[status(thm)],[c_0_145,c_0_775]) ).

cnf(c_0_923,plain,
    product(product(a115,a114),a124) = product(a115,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_917]),c_0_783]) ).

cnf(c_0_924,plain,
    product(a115,a100) = product(a98,a122),
    inference(rw,[status(thm)],[c_0_881,c_0_876]) ).

cnf(c_0_925,plain,
    product(product(a115,a114),a92) = a114,
    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_918]),c_0_919]),c_0_192]),c_0_915]),c_0_920]) ).

cnf(c_0_926,plain,
    product(product(X1,a100),a124) = product(product(X1,a124),a99),
    inference(spm,[status(thm)],[c_0_145,c_0_458]) ).

cnf(c_0_927,plain,
    product(a99,product(a114,a92)) = product(a124,a92),
    inference(spm,[status(thm)],[c_0_921,c_0_904]) ).

cnf(c_0_928,plain,
    product(product(a114,a92),a124) = product(a123,a91),
    inference(spm,[status(thm)],[c_0_922,c_0_639]) ).

cnf(c_0_929,plain,
    product(product(a115,a114),a124) = product(a98,a122),
    inference(rw,[status(thm)],[c_0_923,c_0_924]) ).

cnf(c_0_930,plain,
    product(a115,a114) = product(a114,a92),
    inference(spm,[status(thm)],[c_0_147,c_0_925]) ).

cnf(c_0_931,plain,
    product(a100,product(a115,a100)) = product(a99,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_489]),c_0_926]),c_0_468]),c_0_204]),c_0_484]) ).

cnf(c_0_932,plain,
    product(a100,product(a123,a91)) = product(a124,a91),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_927]),c_0_192]),c_0_775]),c_0_928]) ).

cnf(c_0_933,plain,
    product(a123,a91) = product(a98,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_929,c_0_930]),c_0_928]) ).

cnf(c_0_934,plain,
    product(a100,product(a98,a122)) = product(a99,a123),
    inference(rw,[status(thm)],[c_0_931,c_0_924]) ).

cnf(c_0_935,plain,
    product(product(a100,a68),a121) = a115,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_541]),c_0_173]) ).

cnf(c_0_936,plain,
    product(a99,a123) = product(a124,a91),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_932,c_0_933]),c_0_934]) ).

cnf(c_0_937,plain,
    product(product(a124,a100),a115) = a98,
    inference(rw,[status(thm)],[c_0_868,c_0_876]) ).

cnf(c_0_938,plain,
    product(product(a124,a114),a121) = a115,
    inference(rw,[status(thm)],[c_0_935,c_0_697]) ).

cnf(c_0_939,plain,
    product(product(a115,a114),a99) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_917]) ).

cnf(c_0_940,plain,
    product(product(a124,a91),a123) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_936]) ).

cnf(c_0_941,plain,
    product(a124,product(a98,a122)) = product(a98,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_937]),c_0_924]) ).

cnf(c_0_942,plain,
    product(a98,a76) = a122,
    inference(rw,[status(thm)],[c_0_740,c_0_876]) ).

cnf(c_0_943,plain,
    product(a76,a98) = product(a68,a99),
    inference(rw,[status(thm)],[c_0_811,c_0_876]) ).

cnf(c_0_944,plain,
    product(a98,a121) = a115,
    inference(rw,[status(thm)],[c_0_938,c_0_876]) ).

cnf(c_0_945,plain,
    product(a115,a124) = a121,
    inference(rw,[status(thm)],[c_0_468,c_0_522]) ).

cnf(c_0_946,plain,
    product(product(a114,a92),a99) = a121,
    inference(rw,[status(thm)],[c_0_939,c_0_930]) ).

cnf(c_0_947,plain,
    product(a99,a91) = product(a98,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_940]),c_0_933]),c_0_941]) ).

cnf(c_0_948,axiom,
    a67 = product(a66,a92),
    knot_67 ).

cnf(c_0_949,plain,
    product(a98,product(a68,a99)) = product(a122,a98),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_942]),c_0_943]) ).

cnf(c_0_950,plain,
    product(a99,product(a121,a92)) = product(a115,a92),
    inference(spm,[status(thm)],[c_0_921,c_0_944]) ).

cnf(c_0_951,plain,
    product(product(a115,a92),a124) = product(a121,a91),
    inference(spm,[status(thm)],[c_0_922,c_0_945]) ).

cnf(c_0_952,plain,
    product(product(a121,a92),a124) = product(a115,a91),
    inference(spm,[status(thm)],[c_0_922,c_0_783]) ).

cnf(c_0_953,plain,
    product(a121,a92) = product(a114,a98),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_946]),c_0_147]) ).

cnf(c_0_954,plain,
    product(product(a114,a98),a124) = product(a98,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_899]),c_0_783]),c_0_855]),c_0_885]) ).

cnf(c_0_955,plain,
    product(a100,product(a114,a123)) = product(a114,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_541]),c_0_854]),c_0_855]) ).

cnf(c_0_956,plain,
    product(product(a98,a100),a91) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_947]) ).

cnf(c_0_957,plain,
    product(product(X1,a66),a92) = product(product(X1,a92),a67),
    inference(spm,[status(thm)],[c_0_145,c_0_948]) ).

cnf(c_0_958,plain,
    product(product(a122,a98),a99) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_949]),c_0_915]),c_0_720]),c_0_843]) ).

cnf(c_0_959,plain,
    product(a100,product(a115,a91)) = product(a121,a91),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_950]),c_0_951]),c_0_952]) ).

cnf(c_0_960,plain,
    product(a115,a91) = product(a98,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_952,c_0_953]),c_0_954]) ).

cnf(c_0_961,plain,
    product(a100,product(a98,a75)) = product(a114,a100),
    inference(rw,[status(thm)],[c_0_955,c_0_885]) ).

cnf(c_0_962,plain,
    product(product(a92,a98),a68) = a100,
    inference(rw,[status(thm)],[inference(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_901,c_0_956]),c_0_452]),c_0_926]),c_0_796]),c_0_914]),c_0_957]),c_0_185]),c_0_907]) ).

cnf(c_0_963,plain,
    product(a122,a98) = product(a123,a99),
    inference(spm,[status(thm)],[c_0_147,c_0_958]) ).

cnf(c_0_964,plain,
    product(a121,a91) = product(a114,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_959,c_0_960]),c_0_961]) ).

cnf(c_0_965,axiom,
    a3 = product(a2,a41),
    knot_03 ).

cnf(c_0_966,plain,
    product(a67,a92) = a66,
    inference(spm,[status(thm)],[c_0_147,c_0_948]) ).

cnf(c_0_967,plain,
    product(a92,a98) = a98,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_962]),c_0_697]),c_0_876]) ).

cnf(c_0_968,plain,
    product(product(a123,a99),a98) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_963]) ).

cnf(c_0_969,plain,
    product(a123,a99) = product(a115,a92),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_901,c_0_964]),c_0_926]),c_0_639]),c_0_783]) ).

cnf(c_0_970,plain,
    product(a122,a100) = product(a114,a123),
    inference(rw,[status(thm)],[c_0_854,c_0_855]) ).

cnf(c_0_971,plain,
    product(product(X1,a2),a41) = product(product(X1,a41),a3),
    inference(spm,[status(thm)],[c_0_145,c_0_965]) ).

cnf(c_0_972,axiom,
    a4 = product(a3,a14),
    knot_04 ).

cnf(c_0_973,plain,
    product(product(a92,a41),a2) = product(a93,a42),
    inference(spm,[status(thm)],[c_0_760,c_0_758]) ).

cnf(c_0_974,plain,
    product(product(a124,a77),a76) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_871]) ).

cnf(c_0_975,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_976,plain,
    product(product(a75,a92),a98) = a66,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_887]),c_0_966]) ).

cnf(c_0_977,plain,
    a98 = a92,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_967]),c_0_185]) ).

cnf(c_0_978,plain,
    product(product(a115,a92),a98) = a122,
    inference(rw,[status(thm)],[c_0_968,c_0_969]) ).

cnf(c_0_979,plain,
    product(a122,a100) = product(a98,a75),
    inference(rw,[status(thm)],[c_0_970,c_0_885]) ).

cnf(c_0_980,plain,
    product(a98,a68) = a100,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_876]),c_0_682]) ).

cnf(c_0_981,plain,
    product(a98,a41) = product(a96,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_971,c_0_780]),c_0_147]) ).

cnf(c_0_982,plain,
    product(product(a40,X1),a14) = product(a41,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_665]) ).

cnf(c_0_983,plain,
    product(a40,a4) = a39,
    inference(spm,[status(thm)],[c_0_147,c_0_216]) ).

cnf(c_0_984,plain,
    product(a4,a14) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_972]) ).

cnf(c_0_985,plain,
    product(product(a93,a42),a41) = product(a92,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_971,c_0_973]),c_0_147]) ).

cnf(c_0_986,plain,
    product(product(a93,X1),a41) = product(a94,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_712]) ).

cnf(c_0_987,plain,
    product(a42,a41) = product(a41,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_739]),c_0_965]) ).

cnf(c_0_988,plain,
    product(a122,a77) = product(a115,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_974]),c_0_548]),c_0_740]) ).

cnf(c_0_989,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,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,a70,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,a70,a70,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),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_975,c_0_504]),c_0_504]),c_0_544]),c_0_544]) ).

cnf(c_0_990,plain,
    a66 = a75,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_976,c_0_977]),c_0_147]) ).

cnf(c_0_991,plain,
    a122 = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_978,c_0_977]),c_0_147]) ).

cnf(c_0_992,plain,
    product(a121,a98) = product(a124,a99),
    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_566,c_0_979]),c_0_178]),c_0_980]),c_0_841]),c_0_697]),c_0_876]) ).

cnf(c_0_993,plain,
    product(product(a96,a3),a41) = a98,
    inference(spm,[status(thm)],[c_0_147,c_0_981]) ).

cnf(c_0_994,plain,
    product(a41,a3) = product(a39,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_982,c_0_983]),c_0_984]) ).

cnf(c_0_995,plain,
    product(a94,product(a41,a3)) = product(a92,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_985,c_0_986]),c_0_987]) ).

cnf(c_0_996,plain,
    product(a124,product(a76,a77)) = product(a115,a77),
    inference(spm,[status(thm)],[c_0_204,c_0_974]) ).

cnf(c_0_997,plain,
    product(a121,product(a75,a115)) = product(a114,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_988]),c_0_267]),c_0_181]),c_0_563]) ).

cnf(c_0_998,plain,
    product(product(a110,a80),a112) = product(a112,product(a119,a112)),
    inference(spm,[status(thm)],[c_0_192,c_0_220]) ).

cnf(c_0_999,plain,
    product(a112,product(a119,a79)) = product(a110,a79),
    inference(spm,[status(thm)],[c_0_310,c_0_210]) ).

cnf(c_0_1000,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,a75,a67,a91,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,a70,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,a115,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,a75,a67,a68,a92,a93,a69,a92,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a70,a70,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,a115,a123,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)],[c_0_989,c_0_977]),c_0_977]),c_0_990]),c_0_991]),c_0_990]),c_0_991]) ).

cnf(c_0_1001,plain,
    a123 = a100,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_909,c_0_977]),c_0_914]),c_0_977]),c_0_147]) ).

cnf(c_0_1002,plain,
    product(product(a124,a99),a98) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_992]) ).

cnf(c_0_1003,plain,
    product(a96,product(a39,a14)) = product(a98,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_993]),c_0_994]) ).

cnf(c_0_1004,plain,
    product(a94,product(a39,a14)) = product(a92,a3),
    inference(rw,[status(thm)],[c_0_995,c_0_994]) ).

cnf(c_0_1005,plain,
    product(a124,product(a76,a77)) = product(a100,a121),
    inference(rw,[status(thm)],[c_0_996,c_0_890]) ).

cnf(c_0_1006,plain,
    product(a122,product(a68,a122)) = product(a121,a122),
    inference(spm,[status(thm)],[c_0_192,c_0_180]) ).

cnf(c_0_1007,plain,
    product(a121,product(a68,a122)) = product(a114,a115),
    inference(rw,[status(thm)],[c_0_997,c_0_577]) ).

cnf(c_0_1008,plain,
    product(product(X1,a109),a118) = product(product(X1,a118),a108),
    inference(spm,[status(thm)],[c_0_145,c_0_279]) ).

cnf(c_0_1009,plain,
    product(product(a119,a80),a112) = product(a110,a79),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_361]),c_0_998]),c_0_219]),c_0_321]),c_0_999]) ).

cnf(c_0_1010,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,a75,a67,a91,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a100,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a115,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,a75,a67,a68,a92,a93,a69,a92,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a70,a70,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,a115,a100,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1000,c_0_1001]),c_0_1001]) ).

cnf(c_0_1011,plain,
    a121 = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1002,c_0_977]),c_0_914]),c_0_977]),c_0_147]) ).

cnf(c_0_1012,plain,
    product(product(a98,a3),product(a39,a14)) = a96,
    inference(spm,[status(thm)],[c_0_147,c_0_1003]) ).

cnf(c_0_1013,plain,
    product(product(a92,a3),product(a39,a14)) = a94,
    inference(spm,[status(thm)],[c_0_147,c_0_1004]) ).

cnf(c_0_1014,plain,
    product(a124,product(a68,a76)) = product(a100,a121),
    inference(rw,[status(thm)],[c_0_1005,c_0_700]) ).

cnf(c_0_1015,plain,
    product(a99,a68) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_539]),c_0_180]),c_0_536]) ).

cnf(c_0_1016,plain,
    product(a122,product(a68,a122)) = product(a124,a115),
    inference(rw,[status(thm)],[c_0_1006,c_0_536]) ).

cnf(c_0_1017,plain,
    product(product(a114,a115),product(a68,a122)) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_1007]) ).

cnf(c_0_1018,plain,
    product(a111,a118) = product(a109,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_263]),c_0_306]) ).

cnf(c_0_1019,plain,
    product(product(a109,a81),a108) = product(a118,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_1008,c_0_410]),c_0_283]),c_0_185]),c_0_192]),c_0_371]),c_0_385]) ).

cnf(c_0_1020,plain,
    product(product(a110,a80),a111) = product(a119,product(a79,a111)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_394]),c_0_302]),c_0_220]),c_0_309]) ).

cnf(c_0_1021,plain,
    product(a110,a79) = product(a118,a112),
    inference(rw,[status(thm)],[c_0_1009,c_0_427]) ).

cnf(c_0_1022,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,a75,a67,a91,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a100,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a124,a115,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,a75,a67,a68,a92,a93,a69,a92,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a70,a70,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,a124,a115,a100,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1010,c_0_1011]),c_0_1011]) ).

cnf(c_0_1023,plain,
    a94 = a96,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1012,c_0_977]),c_0_1013]) ).

cnf(c_0_1024,plain,
    a75 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_862,c_0_977]),c_0_966]),c_0_990]) ).

cnf(c_0_1025,plain,
    a76 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_662,c_0_991]),c_0_147]) ).

cnf(c_0_1026,plain,
    a99 = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_751,c_0_977]),c_0_185]) ).

cnf(c_0_1027,plain,
    product(product(a100,a121),a76) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1014]),c_0_790]),c_0_1015]) ).

cnf(c_0_1028,plain,
    product(product(a124,a115),a121) = product(a115,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_622]),c_0_844]),c_0_181]),c_0_1015]) ).

cnf(c_0_1029,plain,
    product(product(a124,a115),product(a68,a122)) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_1016]) ).

cnf(c_0_1030,plain,
    a115 = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1017,c_0_991]),c_0_145]),c_0_173]),c_0_185]),c_0_1011]) ).

cnf(c_0_1031,plain,
    product(product(a114,a115),a122) = a99,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_855]),c_0_456]) ).

cnf(c_0_1032,plain,
    product(a71,product(a118,a71)) = product(a70,a71),
    inference(spm,[status(thm)],[c_0_192,c_0_413]) ).

cnf(c_0_1033,plain,
    product(a71,product(a109,a71)) = product(a72,a71),
    inference(spm,[status(thm)],[c_0_192,c_0_374]) ).

cnf(c_0_1034,plain,
    product(a109,a71) = product(a118,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_626]),c_0_1018]),c_0_260]) ).

cnf(c_0_1035,plain,
    product(product(a82,X1),a109) = product(a81,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_277]) ).

cnf(c_0_1036,plain,
    product(a112,a119) = product(a118,a110),
    inference(rw,[status(thm)],[c_0_220,c_0_433]) ).

cnf(c_0_1037,plain,
    product(a110,a108) = product(a118,a83),
    inference(rw,[status(thm)],[c_0_1019,c_0_443]) ).

cnf(c_0_1038,plain,
    product(a119,product(a79,a111)) = product(a118,a112),
    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_302,c_0_610]),c_0_338]),c_0_262]),c_0_220]),c_0_1020]),c_0_1021]) ).

cnf(c_0_1039,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,a68,a67,a91,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a114,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a92,a100,a100,a124,a93,a96,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a124,a115,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a114,a115,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a124,a115,a100,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)],[c_0_1022,c_0_1023]),c_0_1023]),c_0_1024]),c_0_1024]),c_0_1025]),c_0_1026]),c_0_1024]),c_0_1026]),c_0_1024]),c_0_1025]) ).

cnf(c_0_1040,plain,
    product(a100,product(a75,a124)) = product(a115,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1027]),c_0_1028]),c_0_699]) ).

cnf(c_0_1041,plain,
    a100 = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1029,c_0_991]),c_0_145]),c_0_682]),c_0_991]),c_0_1030]) ).

cnf(c_0_1042,plain,
    a114 = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1031,c_0_991]),c_0_147]),c_0_1026]) ).

cnf(c_0_1043,plain,
    product(product(a92,a66),a123) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_814]) ).

cnf(c_0_1044,plain,
    product(a90,product(a100,a90)) = product(a91,a90),
    inference(spm,[status(thm)],[c_0_192,c_0_794]) ).

cnf(c_0_1045,plain,
    product(a82,product(a109,a82)) = product(a81,a82),
    inference(spm,[status(thm)],[c_0_192,c_0_277]) ).

cnf(c_0_1046,plain,
    product(product(a70,a119),a118) = product(a70,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_591]),c_0_517]),c_0_1032]) ).

cnf(c_0_1047,plain,
    product(a71,product(a118,a83)) = product(a72,a71),
    inference(rw,[status(thm)],[c_0_1033,c_0_1034]) ).

cnf(c_0_1048,plain,
    product(product(a71,X1),a118) = product(a70,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_413]) ).

cnf(c_0_1049,plain,
    product(a79,a112) = product(a70,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_651]),c_0_436]),c_0_1035]),c_0_544]),c_0_533]) ).

cnf(c_0_1050,plain,
    product(a82,a70) = product(a70,a110),
    inference(rw,[status(thm)],[c_0_248,c_0_504]) ).

cnf(c_0_1051,plain,
    product(a112,a119) = a109,
    inference(rw,[status(thm)],[c_0_1036,c_0_439]) ).

cnf(c_0_1052,plain,
    product(a119,a79) = product(a118,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_427]),c_0_262]) ).

cnf(c_0_1053,plain,
    product(a119,a81) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_416]) ).

cnf(c_0_1054,plain,
    product(product(X1,a111),a119) = product(product(X1,a119),a110),
    inference(spm,[status(thm)],[c_0_145,c_0_210]) ).

cnf(c_0_1055,plain,
    product(a109,a111) = product(a118,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_1037]),c_0_319]),c_0_320]),c_0_1038]),c_0_306]) ).

cnf(c_0_1056,plain,
    product(a109,a119) = product(a118,a109),
    inference(rw,[status(thm)],[c_0_289,c_0_416]) ).

cnf(c_0_1057,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,a68,a67,a91,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a114,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a92,a100,a100,a124,a93,a96,a101,a102,a105,a106,a107,a110,a111,a112,a124,a116,a120,a124,a124,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a114,a124,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a124,a124,a100,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1039,c_0_1030]),c_0_1030]),c_0_1030]),c_0_1030]) ).

cnf(c_0_1058,plain,
    a124 = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1040,c_0_930]),c_0_1041]),c_0_1024]),c_0_607]),c_0_991]),c_0_1030]),c_0_1042]),c_0_185]) ).

cnf(c_0_1059,plain,
    a116 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_991]),c_0_159]) ).

cnf(c_0_1060,plain,
    product(a92,product(a123,a66)) = product(a124,a66),
    inference(spm,[status(thm)],[c_0_204,c_0_1043]) ).

cnf(c_0_1061,plain,
    product(a90,product(a124,a115)) = product(a91,a90),
    inference(rw,[status(thm)],[c_0_1044,c_0_792]) ).

cnf(c_0_1062,plain,
    product(product(a67,a114),a121) = product(a68,a99),
    inference(rw,[status(thm)],[c_0_832,c_0_892]) ).

cnf(c_0_1063,plain,
    product(product(a68,a99),a114) = product(a68,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_811]),c_0_176]),c_0_703]) ).

cnf(c_0_1064,plain,
    product(a82,product(a118,a81)) = product(a81,a82),
    inference(rw,[status(thm)],[c_0_1045,c_0_282]) ).

cnf(c_0_1065,plain,
    product(a70,product(a70,a119)) = 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_297,c_0_1046]),c_0_192]),c_0_517]),c_0_192]),c_0_164]),c_0_407]) ).

cnf(c_0_1066,plain,
    product(a119,a118) = product(a118,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_156]),c_0_407]) ).

cnf(c_0_1067,plain,
    product(product(a72,a71),a83) = product(a70,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1047]),c_0_1048]),c_0_405]) ).

cnf(c_0_1068,plain,
    product(product(a70,a82),a109) = product(a70,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_644]),c_0_436]),c_0_1049]),c_0_1050]) ).

cnf(c_0_1069,plain,
    product(product(a72,a70),a119) = product(a70,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_634]),c_0_147]) ).

cnf(c_0_1070,plain,
    product(a109,a112) = product(a118,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1051]),c_0_219]),c_0_321]),c_0_1052]) ).

cnf(c_0_1071,plain,
    product(product(X1,a80),a119) = product(product(X1,a119),a79),
    inference(spm,[status(thm)],[c_0_145,c_0_262]) ).

cnf(c_0_1072,plain,
    product(a118,a80) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_1053]),c_0_156]),c_0_164]) ).

cnf(c_0_1073,plain,
    product(product(a118,a112),a119) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_1055]),c_0_1056]),c_0_448]),c_0_610]),c_0_619]) ).

cnf(c_0_1074,plain,
    product(product(a109,a71),a70) = product(a108,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_1018]),c_0_315]) ).

cnf(c_0_1075,plain,
    product(product(a109,X1),a70) = product(a110,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_221]) ).

cnf(c_0_1076,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,a68,a67,a91,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a92,a92,a92,a92,a93,a96,a101,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a92,a101,a92,a125,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,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)],[c_0_1057,c_0_1041]),c_0_1041]),c_0_1041]),c_0_1041]),c_0_1042]),c_0_1058]),c_0_1058]),c_0_1058]),c_0_1058]),c_0_1059]),c_0_1058]),c_0_1058]),c_0_1042]),c_0_1058]),c_0_1058]),c_0_1058]),c_0_1059]),c_0_1058]),c_0_1058]),c_0_1058]) ).

cnf(c_0_1077,plain,
    a91 = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1060,c_0_990]),c_0_317]),c_0_775]),c_0_990]),c_0_477]),c_0_1001]),c_0_1041]),c_0_1058]) ).

cnf(c_0_1078,plain,
    product(product(a91,a90),product(a124,a115)) = a90,
    inference(spm,[status(thm)],[c_0_147,c_0_1061]) ).

cnf(c_0_1079,plain,
    product(product(a91,X1),a124) = product(a92,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_752]) ).

cnf(c_0_1080,plain,
    product(a67,product(a124,a121)) = product(a68,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1062]),c_0_1063]),c_0_268]),c_0_661]) ).

cnf(c_0_1081,plain,
    product(product(a68,a75),a121) = product(a75,a114),
    inference(spm,[status(thm)],[c_0_147,c_0_724]) ).

cnf(c_0_1082,plain,
    product(product(a67,X1),a98) = product(a68,product(X1,a98)),
    inference(spm,[status(thm)],[c_0_145,c_0_862]) ).

cnf(c_0_1083,plain,
    product(a67,a99) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_887]) ).

cnf(c_0_1084,plain,
    product(a81,a82) = product(a82,a119),
    inference(rw,[status(thm)],[c_0_1064,c_0_416]) ).

cnf(c_0_1085,plain,
    product(product(a71,a119),a118) = product(a71,product(a70,a71)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_1065]),c_0_617]),c_0_1066]),c_0_1032]) ).

cnf(c_0_1086,plain,
    product(product(a70,a82),a83) = product(a72,a71),
    inference(spm,[status(thm)],[c_0_147,c_0_1067]) ).

cnf(c_0_1087,plain,
    product(product(a71,a83),a108) = 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1008,c_0_1068]),c_0_617]),c_0_601]),c_0_608]),c_0_618]),c_0_624]),c_0_617]),c_0_260]) ).

cnf(c_0_1088,plain,
    product(a73,a108) = product(a82,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_644]),c_0_481]) ).

cnf(c_0_1089,plain,
    product(product(X1,a71),a109) = product(product(X1,a109),a72),
    inference(spm,[status(thm)],[c_0_145,c_0_374]) ).

cnf(c_0_1090,plain,
    product(a81,a71) = product(a79,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_530]),c_0_147]) ).

cnf(c_0_1091,plain,
    product(product(a70,a111),a119) = product(a72,a70),
    inference(spm,[status(thm)],[c_0_147,c_0_1069]) ).

cnf(c_0_1092,plain,
    product(product(X1,a112),a79) = product(product(X1,a79),a111),
    inference(spm,[status(thm)],[c_0_145,c_0_208]) ).

cnf(c_0_1093,plain,
    product(product(a118,a119),a112) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_1070]) ).

cnf(c_0_1094,plain,
    product(product(a118,a119),a79) = a119,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1072]),c_0_185]) ).

cnf(c_0_1095,plain,
    product(product(a118,a81),a82) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_282]) ).

cnf(c_0_1096,plain,
    product(a108,a112) = product(a118,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1073]),c_0_219]) ).

cnf(c_0_1097,plain,
    product(a110,product(a70,a119)) = product(a108,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1074,c_0_1075]),c_0_517]) ).

cnf(c_0_1098,plain,
    product(product(a118,a108),product(a118,a73)) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_392]) ).

cnf(c_0_1099,plain,
    product(product(a108,a71),a118) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_601]) ).

cnf(c_0_1100,plain,
    product(product(a108,a71),a70) = product(a109,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_601]),c_0_245]) ).

cnf(c_0_1101,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,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a92,a92,a92,a92,a93,a96,a101,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a92,a92,a101,a92,a125,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1077]),c_0_1077]) ).

cnf(c_0_1102,plain,
    a90 = a92,
    inference(rw,[status(thm)],[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_1078,c_0_1030]),c_0_185]),c_0_1079]),c_0_910]),c_0_1026]),c_0_185]),c_0_185]) ).

cnf(c_0_1103,plain,
    product(product(a67,a121),a124) = product(a75,a114),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1080]),c_0_1081]) ).

cnf(c_0_1104,plain,
    product(product(a75,a114),a124) = product(a77,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_537,c_0_636]),c_0_568]),c_0_563]),c_0_577]),c_0_620]),c_0_743]),c_0_697]),c_0_246]) ).

cnf(c_0_1105,plain,
    product(a68,product(a92,a98)) = product(a66,a98),
    inference(spm,[status(thm)],[c_0_1082,c_0_966]) ).

cnf(c_0_1106,plain,
    product(a66,a98) = product(a75,a92),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_1083]),c_0_966]) ).

cnf(c_0_1107,plain,
    product(a73,a109) = a79,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_544]),c_0_517]),c_0_518]) ).

cnf(c_0_1108,plain,
    product(a79,a70) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_504]),c_0_407]),c_0_504]) ).

cnf(c_0_1109,plain,
    product(a82,a119) = product(a70,a82),
    inference(rw,[status(thm)],[c_0_1084,c_0_544]) ).

cnf(c_0_1110,plain,
    product(product(a70,a119),a71) = product(a71,product(a70,a71)),
    inference(spm,[status(thm)],[c_0_192,c_0_517]) ).

cnf(c_0_1111,plain,
    product(a71,product(a70,a71)) = product(a70,product(a118,a71)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1085,c_0_1048]),c_0_1066]) ).

cnf(c_0_1112,plain,
    product(product(a71,a83),a82) = product(a70,a111),
    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_1086]),c_0_434]),c_0_1069]),c_0_617]),c_0_260]) ).

cnf(c_0_1113,plain,
    product(a71,a83) = product(a82,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1087]),c_0_1088]) ).

cnf(c_0_1114,plain,
    product(product(a79,a118),a109) = product(a82,a72),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1090]),c_0_234]) ).

cnf(c_0_1115,plain,
    product(a72,a118) = product(a70,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1069]),c_0_192]),c_0_315]),c_0_164]) ).

cnf(c_0_1116,plain,
    product(product(a72,a70),a111) = product(a70,product(a119,a111)),
    inference(spm,[status(thm)],[c_0_204,c_0_1091]) ).

cnf(c_0_1117,plain,
    product(a119,a111) = product(a109,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1092,c_0_1093]),c_0_1094]) ).

cnf(c_0_1118,plain,
    product(a119,a82) = a109,
    inference(rw,[status(thm)],[c_0_1095,c_0_416]) ).

cnf(c_0_1119,plain,
    product(product(a118,a111),a112) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_1096]) ).

cnf(c_0_1120,plain,
    product(product(a108,a119),a110) = product(a110,product(a72,a70)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1097]),c_0_634]) ).

cnf(c_0_1121,plain,
    product(a108,a119) = product(a118,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_619]),c_0_210]),c_0_1021]) ).

cnf(c_0_1122,plain,
    product(a118,product(a109,a73)) = product(a109,a108),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1098]),c_0_391]) ).

cnf(c_0_1123,plain,
    product(product(a109,a119),a118) = product(a110,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_1099]),c_0_1100]) ).

cnf(c_0_1124,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,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a93,a96,a101,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a101,a92,a125,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1101,c_0_1102]),c_0_1102]) ).

cnf(c_0_1125,plain,
    a125 = a93,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_729,c_0_1058]),c_0_758]) ).

cnf(c_0_1126,plain,
    product(product(a109,a32),a117) = product(a108,a32),
    inference(spm,[status(thm)],[c_0_348,c_0_279]) ).

cnf(c_0_1127,plain,
    product(a77,a115) = product(a67,a121),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1103]),c_0_1104]) ).

cnf(c_0_1128,plain,
    product(a68,product(a92,a98)) = product(a75,a92),
    inference(rw,[status(thm)],[c_0_1105,c_0_1106]) ).

cnf(c_0_1129,plain,
    product(a126,a2) = product(a124,a66),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_778,c_0_709]),c_0_753]) ).

cnf(c_0_1130,plain,
    product(product(a70,a82),a110) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_1107]),c_0_1108]),c_0_436]),c_0_1049]) ).

cnf(c_0_1131,plain,
    product(a71,a119) = product(a70,a79),
    inference(rw,[status(thm)],[c_0_1065,c_0_518]) ).

cnf(c_0_1132,plain,
    product(product(a70,a82),a119) = a82,
    inference(spm,[status(thm)],[c_0_147,c_0_1109]) ).

cnf(c_0_1133,plain,
    product(product(a70,a119),a71) = product(a70,product(a118,a71)),
    inference(rw,[status(thm)],[c_0_1110,c_0_1111]) ).

cnf(c_0_1134,plain,
    product(a82,a72) = product(a70,a111),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1112,c_0_1113]),c_0_192]),c_0_375]) ).

cnf(c_0_1135,plain,
    product(a83,product(a70,a108)) = product(a79,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1114]),c_0_276]),c_0_279]),c_0_1115]) ).

cnf(c_0_1136,plain,
    product(product(a72,a70),a111) = product(a70,product(a109,a79)),
    inference(rw,[status(thm)],[c_0_1116,c_0_1117]) ).

cnf(c_0_1137,plain,
    product(a110,product(a79,a70)) = product(a118,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_1117]),c_0_1075]),c_0_315]) ).

cnf(c_0_1138,plain,
    product(a119,product(a118,a73)) = product(a118,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_1038]),c_0_319]),c_0_376]),c_0_641]) ).

cnf(c_0_1139,plain,
    product(product(a118,a108),a82) = product(a109,a72),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_486]),c_0_1118]) ).

cnf(c_0_1140,plain,
    product(a108,product(a70,a108)) = product(a111,a108),
    inference(spm,[status(thm)],[c_0_192,c_0_306]) ).

cnf(c_0_1141,plain,
    product(a118,product(a118,a119)) = product(a108,a111),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1119]),c_0_321]),c_0_1052]) ).

cnf(c_0_1142,plain,
    product(product(a118,a112),a110) = product(a110,product(a72,a70)),
    inference(rw,[status(thm)],[c_0_1120,c_0_1121]) ).

cnf(c_0_1143,plain,
    product(a118,product(a118,a71)) = product(a109,a108),
    inference(rw,[status(thm)],[c_0_1122,c_0_406]) ).

cnf(c_0_1144,plain,
    product(product(a110,a71),a118) = product(a109,a119),
    inference(spm,[status(thm)],[c_0_147,c_0_1123]) ).

cnf(c_0_1145,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,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a93,a96,a101,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a93,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a101,a92,a93,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1124,c_0_1125]),c_0_1125]) ).

cnf(c_0_1146,plain,
    a101 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_1059]),c_0_1126]),c_0_352]),c_0_1059]),c_0_185]) ).

cnf(c_0_1147,plain,
    product(product(a67,a121),a122) = product(a68,a114),
    inference(rw,[status(thm)],[c_0_627,c_0_1127]) ).

cnf(c_0_1148,plain,
    product(product(a67,a121),a115) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_1127]) ).

cnf(c_0_1149,plain,
    product(a68,a92) = a67,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1128,c_0_967]),c_0_877]),c_0_1024]) ).

cnf(c_0_1150,plain,
    product(a126,a2) = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1129,c_0_990]),c_0_477]),c_0_1001]),c_0_1041]),c_0_1058]) ).

cnf(c_0_1151,plain,
    product(a82,a111) = product(a70,a79),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_1130]),c_0_1131]),c_0_1132]) ).

cnf(c_0_1152,plain,
    product(a79,a118) = product(a70,a71),
    inference(rw,[status(thm)],[c_0_1090,c_0_544]) ).

cnf(c_0_1153,plain,
    product(a83,product(a118,a83)) = product(a82,a83),
    inference(spm,[status(thm)],[c_0_192,c_0_405]) ).

cnf(c_0_1154,plain,
    product(a70,product(a118,a71)) = product(a79,a71),
    inference(rw,[status(thm)],[c_0_1133,c_0_518]) ).

cnf(c_0_1155,plain,
    product(a72,a71) = product(a79,a108),
    inference(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_276,c_0_1134]),c_0_617]),c_0_1018]),c_0_1034]),c_0_1047]),c_0_1115]),c_0_1135]) ).

cnf(c_0_1156,plain,
    product(product(a79,a111),a118) = product(a82,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_405]),c_0_320]) ).

cnf(c_0_1157,plain,
    product(a70,product(a118,a108)) = product(a72,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1136]),c_0_192]),c_0_1075]),c_0_1137]),c_0_315]) ).

cnf(c_0_1158,plain,
    product(product(a118,a83),a73) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1138]),c_0_486]),c_0_393]),c_0_185]),c_0_448]) ).

cnf(c_0_1159,plain,
    product(a112,a83) = product(a111,a108),
    inference(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_283,c_0_1139]),c_0_288]),c_0_1115]),c_0_1140]),c_0_393]),c_0_185]),c_0_448]) ).

cnf(c_0_1160,plain,
    product(a110,product(a72,a70)) = product(a109,a108),
    inference(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_246,c_0_1141]),c_0_1054]),c_0_1121]),c_0_1142]),c_0_192]),c_0_1066]),c_0_1143]) ).

cnf(c_0_1161,plain,
    product(a110,a111) = product(a118,a79),
    inference(rw,[status(thm)],[c_0_370,c_0_427]) ).

cnf(c_0_1162,plain,
    product(product(a109,a119),a71) = product(a110,product(a118,a71)),
    inference(spm,[status(thm)],[c_0_204,c_0_1144]) ).

cnf(c_0_1163,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,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a77,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a93,a96,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a93,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a77,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a93,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1145,c_0_1146]),c_0_1146]) ).

cnf(c_0_1164,plain,
    a77 = a67,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1147,c_0_991]),c_0_1148]),c_0_1042]),c_0_1149]) ).

cnf(c_0_1165,plain,
    a93 = a126,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1150]),c_0_758]) ).

cnf(c_0_1166,axiom,
    a63 = product(a62,a96),
    knot_63 ).

cnf(c_0_1167,plain,
    product(a79,a71) = product(a82,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_276,c_0_1151]),c_0_617]),c_0_1152]),c_0_1111]),c_0_1018]),c_0_1034]),c_0_1153]),c_0_1154]) ).

cnf(c_0_1168,plain,
    product(product(a79,a108),a71) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_1155]) ).

cnf(c_0_1169,plain,
    product(a71,a108) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1008,c_0_533]),c_0_260]),c_0_407]) ).

cnf(c_0_1170,plain,
    product(a82,a71) = product(a70,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_642]),c_0_1115]) ).

cnf(c_0_1171,plain,
    product(product(a70,a108),a109) = product(a71,a112),
    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_617,c_0_1157]),c_0_393]),c_0_1115]),c_0_393]),c_0_185]),c_0_448]) ).

cnf(c_0_1172,plain,
    product(a118,product(a73,a83)) = product(a111,a108),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1158]),c_0_1159]) ).

cnf(c_0_1173,plain,
    product(product(a118,a83),a109) = product(a109,a72),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1034]),c_0_374]) ).

cnf(c_0_1174,plain,
    product(product(a73,X1),a82) = product(a72,product(X1,a82)),
    inference(spm,[status(thm)],[c_0_145,c_0_375]) ).

cnf(c_0_1175,plain,
    product(a109,a72) = product(a118,a79),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1160]),c_0_1075]),c_0_306]),c_0_1161]),c_0_245]) ).

cnf(c_0_1176,plain,
    product(product(a109,a108),a71) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1143]),c_0_192]),c_0_413]),c_0_156]) ).

cnf(c_0_1177,plain,
    product(a110,product(a118,a71)) = product(a108,product(a70,a71)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1100]),c_0_1162]) ).

cnf(c_0_1178,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,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a93,a96,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a93,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,a68,a67,a68,a92,a93,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a93,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1163,c_0_1164]),c_0_1164]) ).

cnf(c_0_1179,plain,
    product(a96,a127) = a95,
    inference(rw,[status(thm)],[c_0_711,c_0_1023]) ).

cnf(c_0_1180,plain,
    a96 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_712,c_0_1023]),c_0_1165]),c_0_692]) ).

cnf(c_0_1181,plain,
    product(a63,a96) = a62,
    inference(spm,[status(thm)],[c_0_147,c_0_1166]) ).

cnf(c_0_1182,axiom,
    a64 = product(a63,a127),
    knot_64 ).

cnf(c_0_1183,plain,
    product(product(a82,a83),a71) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_1167]) ).

cnf(c_0_1184,plain,
    product(a72,a108) = product(a79,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1168]),c_0_1169]) ).

cnf(c_0_1185,plain,
    product(a71,a112) = product(a70,a72),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1170]),c_0_1171]),c_0_277]),c_0_544]) ).

cnf(c_0_1186,plain,
    product(a108,product(a118,a71)) = product(a110,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1123,c_0_288]),c_0_1066]) ).

cnf(c_0_1187,plain,
    product(a118,product(a72,a111)) = product(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1172]),c_0_393]),c_0_1018]),c_0_1034]),c_0_1173]),c_0_411]),c_0_1174]),c_0_626]),c_0_1175]) ).

cnf(c_0_1188,plain,
    product(product(a118,a79),a111) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_1161]) ).

cnf(c_0_1189,plain,
    product(product(a108,a83),a109) = product(a108,a82),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_398]),c_0_147]) ).

cnf(c_0_1190,plain,
    product(product(a108,X1),a118) = product(a109,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_263]) ).

cnf(c_0_1191,plain,
    product(a119,a71) = product(a109,a108),
    inference(spm,[status(thm)],[c_0_147,c_0_1176]) ).

cnf(c_0_1192,plain,
    product(product(a109,a119),a71) = product(a108,product(a70,a71)),
    inference(rw,[status(thm)],[c_0_1162,c_0_1177]) ).

cnf(c_0_1193,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,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a96,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a126,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,a68,a67,a68,a92,a126,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a96,a95,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1178,c_0_1165]),c_0_1165]),c_0_1165]),c_0_1165]) ).

cnf(c_0_1194,plain,
    a95 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1179,c_0_1180]),c_0_185]) ).

cnf(c_0_1195,plain,
    a64 = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1181,c_0_1180]),c_0_1182]) ).

cnf(c_0_1196,axiom,
    a128 = product(a127,a96),
    knot_128 ).

cnf(c_0_1197,plain,
    product(product(a83,a13),product(a75,a32)) = a69,
    inference(spm,[status(thm)],[c_0_147,c_0_668]) ).

cnf(c_0_1198,plain,
    product(a82,product(a82,a73)) = product(a79,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1183]),c_0_1113]) ).

cnf(c_0_1199,plain,
    product(product(a70,a71),a82) = product(a70,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_393,c_0_1184]),c_0_411]),c_0_1152]),c_0_1115]),c_0_1171]),c_0_1185]) ).

cnf(c_0_1200,plain,
    product(a83,product(a70,a110)) = product(a70,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_1113]),c_0_276]),c_0_556]),c_0_413]) ).

cnf(c_0_1201,plain,
    product(a73,a70) = product(a70,a82),
    inference(rw,[status(thm)],[c_0_436,c_0_1049]) ).

cnf(c_0_1202,plain,
    product(a81,product(a109,a81)) = product(a82,a81),
    inference(spm,[status(thm)],[c_0_192,c_0_234]) ).

cnf(c_0_1203,plain,
    product(a110,a71) = product(a118,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_1056]),c_0_192]),c_0_279]),c_0_1066]),c_0_1186]) ).

cnf(c_0_1204,plain,
    product(product(a118,a111),a72) = a110,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1187]),c_0_1188]) ).

cnf(c_0_1205,plain,
    product(product(a118,a81),a108) = product(a109,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_1008,c_0_1189]),c_0_1190]),c_0_260]),c_0_1190]),c_0_405]),c_0_282]) ).

cnf(c_0_1206,plain,
    product(a109,product(a118,a119)) = product(a110,a72),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1191]),c_0_192]),c_0_420]),c_0_440]),c_0_443]) ).

cnf(c_0_1207,plain,
    product(a108,product(a70,a71)) = product(a112,a71),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1192,c_0_1056]),c_0_448]) ).

cnf(c_0_1208,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,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a126,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,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,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)],[c_0_1193,c_0_1180]),c_0_1180]),c_0_1180]),c_0_1180]),c_0_1194]),c_0_1195]),c_0_1195]),c_0_1194]) ).

cnf(c_0_1209,plain,
    a128 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1196,c_0_1180]),c_0_185]) ).

cnf(c_0_1210,plain,
    product(a72,a13) = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1197,c_0_1024]),c_0_146]),c_0_669]) ).

cnf(c_0_1211,plain,
    product(a83,product(a70,a82)) = product(a70,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(spm,[status(thm)],[c_0_276,c_0_1198]),c_0_411]),c_0_1152]),c_0_1199]),c_0_276]),c_0_556]),c_0_1200]) ).

cnf(c_0_1212,plain,
    product(a72,product(a70,a82)) = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1174,c_0_1201]),c_0_147]) ).

cnf(c_0_1213,plain,
    product(a109,product(a82,a81)) = product(a112,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_351]),c_0_261]),c_0_265]),c_0_245]),c_0_1202]) ).

cnf(c_0_1214,plain,
    product(product(a118,a108),a71) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_1203]) ).

cnf(c_0_1215,plain,
    product(product(a118,a83),a71) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_1034]) ).

cnf(c_0_1216,plain,
    product(a110,a72) = product(a118,a111),
    inference(spm,[status(thm)],[c_0_147,c_0_1204]) ).

cnf(c_0_1217,plain,
    product(a119,a108) = product(a109,a83),
    inference(rw,[status(thm)],[c_0_1205,c_0_416]) ).

cnf(c_0_1218,plain,
    product(a109,product(a72,a70)) = product(a112,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_1075,c_0_1206]),c_0_264]),c_0_319]),c_0_164]),c_0_1066]),c_0_1177]),c_0_1207]) ).

cnf(c_0_1219,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1208,c_0_1209]),c_0_1209]) ).

cnf(c_0_1220,plain,
    a72 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1210]),c_0_154]) ).

cnf(c_0_1221,plain,
    product(product(a70,a72),product(a70,a82)) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_1211]) ).

cnf(c_0_1222,plain,
    product(a70,product(a70,a82)) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_1212]) ).

cnf(c_0_1223,plain,
    product(product(a112,a70),product(a82,a81)) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_1213]) ).

cnf(c_0_1224,plain,
    product(a118,product(a71,a108)) = product(a118,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1214]),c_0_1037]) ).

cnf(c_0_1225,plain,
    product(a118,product(a71,a83)) = product(a109,a83),
    inference(spm,[status(thm)],[c_0_204,c_0_1215]) ).

cnf(c_0_1226,plain,
    product(a112,a71) = product(a109,a83),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_1216]),c_0_319]),c_0_315]),c_0_1217]),c_0_1218]) ).

cnf(c_0_1227,plain,
    product(product(a118,a73),a119) = product(a109,a79),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_618]),c_0_199]),c_0_1117]) ).

cnf(c_0_1228,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a70,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a71,a70,a119,a118,a73,a109,a110,a74,a82,a83,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1219,c_0_1220]),c_0_1220]) ).

cnf(c_0_1229,plain,
    a83 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1221,c_0_1220]),c_0_185]),c_0_1222]),c_0_1220]) ).

cnf(c_0_1230,plain,
    product(product(a118,a73),product(a82,a81)) = a109,
    inference(rw,[status(thm)],[c_0_1223,c_0_376]) ).

cnf(c_0_1231,plain,
    product(a73,a13) = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_1024]),c_0_146]) ).

cnf(c_0_1232,plain,
    product(a118,product(a70,a109)) = a111,
    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_192,c_0_1224]),c_0_192]),c_0_405]),c_0_626]),c_0_1048]),c_0_263]) ).

cnf(c_0_1233,plain,
    product(a118,product(a70,a82)) = product(a108,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1225]),c_0_288]),c_0_405]),c_0_1048]),c_0_405]) ).

cnf(c_0_1234,plain,
    product(a108,a82) = product(a109,a79),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_1226]),c_0_288]),c_0_405]),c_0_376]),c_0_1227]) ).

cnf(c_0_1235,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a71,a118,a117,a70,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a71,a70,a119,a118,a73,a109,a110,a74,a82,a70,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1228,c_0_1229]),c_0_1229]) ).

cnf(c_0_1236,plain,
    a71 = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_1220]),c_0_533]) ).

cnf(c_0_1237,plain,
    product(product(a118,a73),product(a70,a110)) = a109,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1230,c_0_544]),c_0_1050]) ).

cnf(c_0_1238,plain,
    a73 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1231]),c_0_154]) ).

cnf(c_0_1239,plain,
    product(a119,product(a70,a110)) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_1232]),c_0_315]),c_0_233]),c_0_185]) ).

cnf(c_0_1240,plain,
    product(product(a118,a73),a109) = a111,
    inference(rw,[status(thm)],[c_0_410,c_0_626]) ).

cnf(c_0_1241,plain,
    product(a118,product(a70,a82)) = product(a109,a79),
    inference(rw,[status(thm)],[c_0_1233,c_0_1234]) ).

cnf(c_0_1242,plain,
    product(a119,product(a82,a119)) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1118]),c_0_1056]),c_0_448]) ).

cnf(c_0_1243,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a108,a109,a73,a70,a82,a74,a68,a68,a67,a113,a92,a78,a79,a70,a119,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a111,a112,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a119,a118,a73,a109,a110,a74,a82,a70,a68,a68,a67,a78,a92,a92,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a108,a111,a112,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1235,c_0_1236]),c_0_1236]) ).

cnf(c_0_1244,plain,
    a108 = a109,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1237,c_0_1238]),c_0_156]),c_0_1239]) ).

cnf(c_0_1245,plain,
    a79 = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1107,c_0_1238]),c_0_533]) ).

cnf(c_0_1246,plain,
    a111 = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1240,c_0_1238]),c_0_156]),c_0_440]),c_0_544]),c_0_221]) ).

cnf(c_0_1247,plain,
    product(product(a109,a79),product(a70,a82)) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_1241]) ).

cnf(c_0_1248,plain,
    product(a119,product(a70,a82)) = a112,
    inference(rw,[status(thm)],[c_0_1242,c_0_1109]) ).

cnf(c_0_1249,plain,
    product(product(a108,a71),a110) = product(a110,product(a118,a110)),
    inference(spm,[status(thm)],[c_0_192,c_0_601]) ).

cnf(c_0_1250,plain,
    product(product(a126,X1),a41) = product(a127,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_692]) ).

cnf(c_0_1251,plain,
    product(a65,a41) = a64,
    inference(spm,[status(thm)],[c_0_147,c_0_713]) ).

cnf(c_0_1252,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a109,a109,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a119,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a110,a112,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a119,a118,a70,a109,a110,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a109,a110,a112,a113,a117,a117,a92,a92,a92,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)],[c_0_1243,c_0_1238]),c_0_1238]),c_0_1244]),c_0_1245]),c_0_1246]),c_0_1245]),c_0_1244]),c_0_1246]) ).

cnf(c_0_1253,plain,
    a112 = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1247,c_0_1245]),c_0_282]),c_0_544]),c_0_156]),c_0_1248]) ).

cnf(c_0_1254,plain,
    product(a109,a32) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_1059]),c_0_185]),c_0_1244]) ).

cnf(c_0_1255,plain,
    product(a110,product(a118,a110)) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1249,c_0_608]),c_0_147]) ).

cnf(c_0_1256,axiom,
    a129 = product(a128,a62),
    knot_129 ).

cnf(c_0_1257,plain,
    product(product(a124,a41),a3) = product(a125,a41),
    inference(spm,[status(thm)],[c_0_971,c_0_729]) ).

cnf(c_0_1258,plain,
    product(a125,a41) = product(a127,a64),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_730]),c_0_1251]) ).

cnf(c_0_1259,plain,
    product(product(X1,a83),a39) = product(product(X1,a39),a84),
    inference(spm,[status(thm)],[c_0_145,c_0_242]) ).

cnf(c_0_1260,plain,
    product(a108,a39) = a107,
    inference(spm,[status(thm)],[c_0_147,c_0_241]) ).

cnf(c_0_1261,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a109,a109,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a119,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a110,a118,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a119,a118,a70,a109,a110,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a109,a110,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1252,c_0_1253]),c_0_1253]) ).

cnf(c_0_1262,plain,
    a109 = a118,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1254]),c_0_157]) ).

cnf(c_0_1263,plain,
    product(a110,a109) = a119,
    inference(rw,[status(thm)],[c_0_1255,c_0_439]) ).

cnf(c_0_1264,plain,
    product(a129,a62) = a128,
    inference(spm,[status(thm)],[c_0_147,c_0_1256]) ).

cnf(c_0_1265,plain,
    product(product(a124,a41),a3) = product(a127,a64),
    inference(rw,[status(thm)],[c_0_1257,c_0_1258]) ).

cnf(c_0_1266,plain,
    product(product(a92,a41),a3) = a94,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_971,c_0_758]),c_0_712]) ).

cnf(c_0_1267,plain,
    product(product(a109,a73),a39) = a106,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_399]),c_0_1260]),c_0_257]) ).

cnf(c_0_1268,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a119,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a110,a110,a118,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a119,a118,a70,a118,a110,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a118,a110,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1261,c_0_1262]),c_0_1262]),c_0_1262]),c_0_1262]) ).

cnf(c_0_1269,plain,
    a110 = 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(rw,[status(thm)],[c_0_1263,c_0_1262]),c_0_601]),c_0_1244]),c_0_1262]),c_0_1236]),c_0_626]),c_0_1246]) ).

cnf(c_0_1270,plain,
    a119 = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_1059]),c_0_157]),c_0_1238]),c_0_156]) ).

cnf(c_0_1271,plain,
    product(a129,a62) = a127,
    inference(rw,[status(thm)],[c_0_1264,c_0_1209]) ).

cnf(c_0_1272,plain,
    product(a127,a62) = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1265,c_0_1058]),c_0_1266]),c_0_1023]),c_0_1195]),c_0_1180]) ).

cnf(c_0_1273,plain,
    product(product(a118,a71),a39) = a106,
    inference(rw,[status(thm)],[c_0_1267,c_0_406]) ).

cnf(c_0_1274,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a118,a118,a118,a92,a117,a120,a92,a92,a126,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,a127,a129,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a118,a118,a118,a113,a117,a117,a92,a92,a92,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)],[c_0_1268,c_0_1269]),c_0_1269]),c_0_1269]),c_0_1269]),c_0_1270]),c_0_1270]),c_0_1270]),c_0_1270]),c_0_1270]),c_0_1270]) ).

cnf(c_0_1275,plain,
    a129 = a127,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1271]),c_0_1272]) ).

cnf(c_0_1276,plain,
    product(a118,a39) = a106,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1273,c_0_1236]),c_0_626]),c_0_1246]),c_0_1269]),c_0_1270]) ).

cnf(c_0_1277,plain,
    product(a90,a41) = a89,
    inference(spm,[status(thm)],[c_0_147,c_0_688]) ).

cnf(c_0_1278,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a107,a118,a118,a118,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a107,a118,a118,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1274,c_0_1275]),c_0_1275]) ).

cnf(c_0_1279,plain,
    a107 = a106,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1260,c_0_1244]),c_0_1262]),c_0_1276]) ).

cnf(c_0_1280,plain,
    product(product(X1,a41),a14) = product(product(X1,a14),a40),
    inference(spm,[status(thm)],[c_0_145,c_0_708]) ).

cnf(c_0_1281,plain,
    product(a92,a41) = a89,
    inference(rw,[status(thm)],[c_0_1277,c_0_1102]) ).

cnf(c_0_1282,plain,
    product(a92,a14) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_1030]),c_0_1058]),c_0_1059]) ).

cnf(c_0_1283,plain,
    product(a117,a40) = a102,
    inference(rw,[status(thm)],[c_0_218,c_0_1146]) ).

cnf(c_0_1284,plain,
    product(product(X1,a84),a5) = product(product(X1,a5),a85),
    inference(spm,[status(thm)],[c_0_145,c_0_215]) ).

cnf(c_0_1285,plain,
    product(a106,a5) = a105,
    inference(spm,[status(thm)],[c_0_147,c_0_213]) ).

cnf(c_0_1286,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a102,a105,a106,a106,a118,a118,a118,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a102,a103,a106,a106,a118,a118,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1278,c_0_1279]),c_0_1279]) ).

cnf(c_0_1287,plain,
    a102 = a88,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1280,c_0_1281]),c_0_691]),c_0_1282]),c_0_1283]) ).

cnf(c_0_1288,plain,
    product(a88,a4) = a87,
    inference(spm,[status(thm)],[c_0_147,c_0_653]) ).

cnf(c_0_1289,plain,
    product(a107,a5) = product(a105,a85),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_240]),c_0_1285]) ).

cnf(c_0_1290,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a86,a87,a103,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a88,a105,a106,a106,a118,a118,a118,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a88,a103,a106,a106,a118,a118,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1286,c_0_1287]),c_0_1287]) ).

cnf(c_0_1291,plain,
    a103 = a87,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_1287]),c_0_1288]) ).

cnf(c_0_1292,plain,
    product(a106,a39) = product(a109,a73),
    inference(rw,[status(thm)],[c_0_274,c_0_399]) ).

cnf(c_0_1293,plain,
    product(product(a103,a30),a105) = product(a105,a85),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_237]),c_0_214]) ).

cnf(c_0_1294,plain,
    product(product(a87,a30),a105) = a85,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_202]),c_0_214]) ).

cnf(c_0_1295,plain,
    product(a105,a85) = a105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1289,c_0_1279]),c_0_1285]) ).

cnf(c_0_1296,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a86,a87,a87,a104,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a88,a105,a106,a106,a118,a118,a118,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a88,a87,a106,a106,a118,a118,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1290,c_0_1291]),c_0_1291]) ).

cnf(c_0_1297,plain,
    a104 = a87,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_1291]),c_0_185]) ).

cnf(c_0_1298,plain,
    product(a106,a39) = product(a118,a71),
    inference(rw,[status(thm)],[c_0_1292,c_0_406]) ).

cnf(c_0_1299,plain,
    a105 = a85,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1293,c_0_1291]),c_0_1294]),c_0_1295]) ).

cnf(c_0_1300,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a86,a87,a87,a87,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a88,a105,a106,a106,a118,a118,a118,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a86,a87,a88,a87,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a88,a87,a106,a106,a118,a118,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1296,c_0_1297]),c_0_1297]) ).

cnf(c_0_1301,plain,
    a86 = a87,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_1297]),c_0_185]) ).

cnf(c_0_1302,plain,
    product(a106,a39) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1298,c_0_1236]),c_0_626]),c_0_1246]),c_0_1269]),c_0_1270]) ).

cnf(c_0_1303,plain,
    a106 = a84,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_1299]),c_0_226]) ).

cnf(c_0_1304,plain,
    product(product(a108,a13),a69) = product(a111,a13),
    inference(rw,[status(thm)],[c_0_307,c_0_325]) ).

cnf(c_0_1305,plain,
    product(product(a109,a13),a69) = product(a110,a13),
    inference(spm,[status(thm)],[c_0_314,c_0_221]) ).

cnf(c_0_1306,plain,
    product(a92,a32) = a120,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_1011]),c_0_1058]) ).

cnf(c_0_1307,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a118,a117,a70,a118,a118,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a118,a70,a84,a85,a87,a87,a87,a87,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a88,a105,a106,a106,a118,a118,a118,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a118,a118,a70,a118,a118,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a87,a87,a88,a87,a105,a89,a92,a92,a92,a117,a92,a126,a127,a127,a88,a87,a106,a106,a118,a118,a118,a113,a117,a117,a92,a92,a92,a126,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1300,c_0_1301]),c_0_1301]) ).

cnf(c_0_1308,plain,
    a118 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1302,c_0_1303]),c_0_258]),c_0_1229]) ).

cnf(c_0_1309,plain,
    product(a118,a13) = a120,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1304,c_0_1244]),c_0_1305]),c_0_574]),c_0_1058]),c_0_1306]),c_0_1246]),c_0_1269]),c_0_1270]) ).

cnf(c_0_1310,plain,
    product(a70,a118) = a82,
    inference(rw,[status(thm)],[c_0_407,c_0_1236]) ).

cnf(c_0_1311,plain,
    product(a70,a32) = product(a68,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_543]),c_0_154]) ).

cnf(c_0_1312,plain,
    product(a68,a14) = a74,
    inference(rw,[status(thm)],[c_0_414,c_0_1024]) ).

cnf(c_0_1313,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a82,a70,a117,a70,a70,a70,a70,a70,a82,a74,a68,a68,a67,a113,a92,a78,a82,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a92,a92,a92,a92,a92,a126,a127,a117,a88,a85,a84,a84,a70,a70,a70,a92,a117,a120,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a82,a70,a70,a70,a70,a70,a70,a74,a82,a70,a68,a68,a67,a78,a92,a92,a82,a70,a70,a120,a84,a85,a87,a87,a88,a87,a85,a89,a92,a92,a92,a117,a92,a126,a127,a127,a88,a87,a84,a84,a70,a70,a70,a113,a117,a117,a92,a92,a92,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)],[c_0_1307,c_0_1299]),c_0_1299]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1303]),c_0_1303]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1308]),c_0_1303]),c_0_1303]),c_0_1308]),c_0_1308]),c_0_1308]) ).

cnf(c_0_1314,plain,
    a120 = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1309,c_0_1308]),c_0_305]) ).

cnf(c_0_1315,plain,
    a82 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1310,c_0_1308]),c_0_185]) ).

cnf(c_0_1316,plain,
    a117 = a74,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_1308]),c_0_1311]),c_0_1312]) ).

cnf(c_0_1317,plain,
    product(a120,a32) = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_1011]),c_0_1058]) ).

cnf(c_0_1318,plain,
    product(a66,a2) = a65,
    inference(spm,[status(thm)],[c_0_147,c_0_757]) ).

cnf(c_0_1319,plain,
    product(product(X1,a96),a128) = product(product(X1,a127),a96),
    inference(spm,[status(thm)],[c_0_145,c_0_1196]) ).

cnf(c_0_1320,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a92,a92,a68,a97,a92,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a67,a113,a92,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a92,a92,a92,a92,a92,a126,a127,a74,a88,a85,a84,a84,a70,a70,a70,a92,a74,a69,a92,a92,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a92,a126,a69,a92,a92,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a67,a78,a92,a92,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a92,a92,a92,a74,a92,a126,a127,a127,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a92,a92,a92,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)],[c_0_1313,c_0_1314]),c_0_1314]),c_0_1315]),c_0_1316]),c_0_1315]),c_0_1315]),c_0_1316]),c_0_1316]),c_0_1315]),c_0_1315]),c_0_1315]),c_0_1316]),c_0_1316]),c_0_1316]) ).

cnf(c_0_1321,plain,
    a92 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1317,c_0_1314]),c_0_543]) ).

cnf(c_0_1322,plain,
    product(a92,a2) = a126,
    inference(rw,[status(thm)],[c_0_758,c_0_1165]) ).

cnf(c_0_1323,plain,
    product(a68,a2) = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1318,c_0_990]),c_0_1024]) ).

cnf(c_0_1324,plain,
    product(a64,a96) = product(a62,a128),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1319,c_0_1181]),c_0_1182]) ).

cnf(c_0_1325,plain,
    product(a64,a127) = a63,
    inference(spm,[status(thm)],[c_0_147,c_0_1182]) ).

cnf(c_0_1326,plain,
    product(a128,a96) = a127,
    inference(spm,[status(thm)],[c_0_147,c_0_1196]) ).

cnf(c_0_1327,axiom,
    a44 = product(a43,a128),
    knot_44 ).

cnf(c_0_1328,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,a127,a50,a54,a63,a127,a127,a62,a126,a65,a68,a67,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a67,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a126,a127,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a126,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a68,a126,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a67,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a126,a127,a127,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,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)],[c_0_1320,c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]),c_0_1321]) ).

cnf(c_0_1329,plain,
    a126 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1322,c_0_1321]),c_0_1323]) ).

cnf(c_0_1330,axiom,
    a130 = product(a129,a1),
    knot_130 ).

cnf(c_0_1331,axiom,
    a62 = product(a61,a1),
    knot_62 ).

cnf(c_0_1332,plain,
    product(a62,a127) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1324,c_0_1180]),c_0_1325]),c_0_1209]) ).

cnf(c_0_1333,plain,
    product(product(X1,a128),a96) = product(product(X1,a96),a127),
    inference(spm,[status(thm)],[c_0_145,c_0_1326]) ).

cnf(c_0_1334,plain,
    product(a44,a128) = a43,
    inference(spm,[status(thm)],[c_0_147,c_0_1327]) ).

cnf(c_0_1335,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,a127,a50,a54,a63,a127,a127,a62,a65,a65,a68,a67,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a67,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a127,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a67,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a67,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a127,a127,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1328,c_0_1329]),c_0_1329]),c_0_1329]),c_0_1329]),c_0_1329]),c_0_1329]) ).

cnf(c_0_1336,plain,
    a67 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1149,c_0_1321]),c_0_185]) ).

cnf(c_0_1337,plain,
    product(a127,a1) = a130,
    inference(rw,[status(thm)],[c_0_1330,c_0_1275]) ).

cnf(c_0_1338,plain,
    a127 = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_692,c_0_1329]),c_0_1251]),c_0_1195]) ).

cnf(c_0_1339,plain,
    product(a62,a1) = a61,
    inference(spm,[status(thm)],[c_0_147,c_0_1331]) ).

cnf(c_0_1340,plain,
    product(a63,a127) = a62,
    inference(rw,[status(thm)],[c_0_1182,c_0_1195]) ).

cnf(c_0_1341,plain,
    product(a63,a62) = a63,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1332]),c_0_1272]),c_0_1332]) ).

cnf(c_0_1342,plain,
    product(product(a44,a96),a127) = product(a43,a96),
    inference(spm,[status(thm)],[c_0_1333,c_0_1334]) ).

cnf(c_0_1343,axiom,
    a43 = product(a42,a62),
    knot_43 ).

cnf(c_0_1344,axiom,
    a60 = product(a59,a131),
    knot_60 ).

cnf(c_0_1345,axiom,
    a51 = product(a50,a59),
    knot_51 ).

cnf(c_0_1346,axiom,
    a50 = product(a49,a131),
    knot_50 ).

cnf(c_0_1347,axiom,
    a61 = product(a60,a13),
    knot_61 ).

cnf(c_0_1348,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,a127,a50,a54,a63,a127,a127,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a127,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a127) != 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,a127,a127,a51,a55,a62,a127,a97,a65,a127,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a127,a127,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1335,c_0_1336]),c_0_1336]),c_0_1336]),c_0_1336]) ).

cnf(c_0_1349,plain,
    a61 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1337,c_0_1338]),c_0_1339]) ).

cnf(c_0_1350,plain,
    a63 = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1340,c_0_1338]),c_0_1341]) ).

cnf(c_0_1351,plain,
    product(a43,a127) = a44,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1342,c_0_1180]),c_0_147]),c_0_1180]) ).

cnf(c_0_1352,plain,
    product(a43,a62) = a42,
    inference(spm,[status(thm)],[c_0_147,c_0_1343]) ).

cnf(c_0_1353,plain,
    product(product(X1,a59),a131) = product(product(X1,a131),a60),
    inference(spm,[status(thm)],[c_0_145,c_0_1344]) ).

cnf(c_0_1354,plain,
    product(a51,a59) = a50,
    inference(spm,[status(thm)],[c_0_147,c_0_1345]) ).

cnf(c_0_1355,plain,
    product(a50,a131) = a49,
    inference(spm,[status(thm)],[c_0_147,c_0_1346]) ).

cnf(c_0_1356,plain,
    product(a61,a13) = a60,
    inference(spm,[status(thm)],[c_0_147,c_0_1347]) ).

cnf(c_0_1357,axiom,
    a131 = product(a130,a13),
    knot_131 ).

cnf(c_0_1358,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,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != 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,a130,a140,a47,a48,a44,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1348,c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1338]),c_0_1349]),c_0_1350]),c_0_1349]),c_0_1350]) ).

cnf(c_0_1359,plain,
    a44 = a42,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1351,c_0_1338]),c_0_1352]) ).

cnf(c_0_1360,plain,
    product(product(a51,a131),a60) = a49,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1354]),c_0_1355]) ).

cnf(c_0_1361,plain,
    a60 = a131,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1356,c_0_1349]),c_0_1357]) ).

cnf(c_0_1362,axiom,
    a133 = product(a132,a58),
    knot_133 ).

cnf(c_0_1363,axiom,
    a59 = product(a58,a138),
    knot_59 ).

cnf(c_0_1364,plain,
    product(a60,a131) = a59,
    inference(spm,[status(thm)],[c_0_147,c_0_1344]) ).

cnf(c_0_1365,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,a42,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != 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,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1358,c_0_1359]),c_0_1359]) ).

cnf(c_0_1366,plain,
    a49 = a51,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1360,c_0_1361]),c_0_147]) ).

cnf(c_0_1367,axiom,
    a34 = product(a33,a131),
    knot_34 ).

cnf(c_0_1368,plain,
    product(a133,a58) = a132,
    inference(spm,[status(thm)],[c_0_147,c_0_1362]) ).

cnf(c_0_1369,plain,
    product(a59,a138) = a58,
    inference(spm,[status(thm)],[c_0_147,c_0_1363]) ).

cnf(c_0_1370,plain,
    a59 = a131,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1364,c_0_1361]),c_0_185]) ).

cnf(c_0_1371,axiom,
    a132 = product(a131,a138),
    knot_132 ).

cnf(c_0_1372,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,a42,a45,a24,a48,a51,a138,a137,a27,a30,a33,a130,a131,a59,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != 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,a51,a50,a139,a138,a28,a31,a34,a131,a132,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1365,c_0_1361]),c_0_1361]),c_0_1366]),c_0_1366]) ).

cnf(c_0_1373,axiom,
    a35 = product(a34,a60),
    knot_35 ).

cnf(c_0_1374,plain,
    product(a34,a131) = a33,
    inference(spm,[status(thm)],[c_0_147,c_0_1367]) ).

cnf(c_0_1375,plain,
    product(product(X1,a133),a58) = product(product(X1,a58),a132),
    inference(spm,[status(thm)],[c_0_145,c_0_1368]) ).

cnf(c_0_1376,axiom,
    a18 = product(a17,a133),
    knot_18 ).

cnf(c_0_1377,axiom,
    a19 = product(a18,a58),
    knot_19 ).

cnf(c_0_1378,plain,
    a132 = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1369,c_0_1370]),c_0_1371]) ).

cnf(c_0_1379,axiom,
    a58 = product(a57,a26),
    knot_58 ).

cnf(c_0_1380,axiom,
    a57 = product(a56,a134),
    knot_57 ).

cnf(c_0_1381,axiom,
    a135 = product(a134,a37),
    knot_135 ).

cnf(c_0_1382,axiom,
    a56 = product(a55,a37),
    knot_56 ).

cnf(c_0_1383,axiom,
    a55 = product(a54,a135),
    knot_55 ).

cnf(c_0_1384,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,a42,a45,a24,a48,a51,a138,a137,a27,a30,a33,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != 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,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a132,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1372,c_0_1370]),c_0_1370]) ).

cnf(c_0_1385,plain,
    a33 = a35,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1373,c_0_1361]),c_0_1374]) ).

cnf(c_0_1386,plain,
    product(product(a17,a58),a132) = a19,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1375,c_0_1376]),c_0_1377]) ).

cnf(c_0_1387,axiom,
    a134 = product(a133,a26),
    knot_134 ).

cnf(c_0_1388,plain,
    a133 = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1362,c_0_1378]),c_0_185]) ).

cnf(c_0_1389,plain,
    product(a58,a26) = a57,
    inference(spm,[status(thm)],[c_0_147,c_0_1379]) ).

cnf(c_0_1390,plain,
    product(product(X1,a56),a134) = product(product(X1,a134),a57),
    inference(spm,[status(thm)],[c_0_145,c_0_1380]) ).

cnf(c_0_1391,axiom,
    a9 = product(a8,a56),
    knot_09 ).

cnf(c_0_1392,axiom,
    a10 = product(a9,a134),
    knot_10 ).

cnf(c_0_1393,plain,
    product(product(X1,a134),a37) = product(product(X1,a37),a135),
    inference(spm,[status(thm)],[c_0_145,c_0_1381]) ).

cnf(c_0_1394,plain,
    product(a56,a37) = a55,
    inference(spm,[status(thm)],[c_0_147,c_0_1382]) ).

cnf(c_0_1395,plain,
    product(a55,a135) = a54,
    inference(spm,[status(thm)],[c_0_147,c_0_1383]) ).

cnf(c_0_1396,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,a42,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != 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,a35,a16,a54,a29,a30,a19,a133,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a132,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1384,c_0_1385]),c_0_1385]) ).

cnf(c_0_1397,plain,
    a19 = a17,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1386,c_0_1378]),c_0_147]) ).

cnf(c_0_1398,plain,
    a57 = a134,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1387,c_0_1388]),c_0_1389]) ).

cnf(c_0_1399,plain,
    product(product(a8,a134),a57) = a10,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1390,c_0_1391]),c_0_1392]) ).

cnf(c_0_1400,axiom,
    a54 = product(a53,a29),
    knot_54 ).

cnf(c_0_1401,plain,
    product(a57,a37) = a54,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1393,c_0_1380]),c_0_1394]),c_0_1395]) ).

cnf(c_0_1402,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,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1396,c_0_1378]),c_0_1378]),c_0_1388]),c_0_1397]),c_0_1398]),c_0_1398]),c_0_1397]),c_0_1388]) ).

cnf(c_0_1403,plain,
    a10 = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1399,c_0_1398]),c_0_147]) ).

cnf(c_0_1404,axiom,
    a15 = product(a14,a53),
    knot_15 ).

cnf(c_0_1405,plain,
    product(a54,a29) = a53,
    inference(spm,[status(thm)],[c_0_147,c_0_1400]) ).

cnf(c_0_1406,plain,
    a54 = a135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1401,c_0_1398]),c_0_1381]) ).

cnf(c_0_1407,axiom,
    a136 = product(a135,a29),
    knot_136 ).

cnf(c_0_1408,axiom,
    a53 = product(a52,a136),
    knot_53 ).

cnf(c_0_1409,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,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a54,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a8,a56,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a54,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1402,c_0_1403]),c_0_1403]) ).

cnf(c_0_1410,plain,
    product(a57,a134) = a56,
    inference(spm,[status(thm)],[c_0_147,c_0_1380]) ).

cnf(c_0_1411,plain,
    product(a15,a53) = a14,
    inference(spm,[status(thm)],[c_0_147,c_0_1404]) ).

cnf(c_0_1412,plain,
    a53 = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1405,c_0_1406]),c_0_1407]) ).

cnf(c_0_1413,axiom,
    a16 = product(a15,a136),
    knot_16 ).

cnf(c_0_1414,axiom,
    a52 = product(a51,a39),
    knot_52 ).

cnf(c_0_1415,plain,
    product(a53,a136) = a52,
    inference(spm,[status(thm)],[c_0_147,c_0_1408]) ).

cnf(c_0_1416,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,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a8,a56,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a16,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a55,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1409,c_0_1406]),c_0_1406]) ).

cnf(c_0_1417,plain,
    a56 = a134,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1410,c_0_1398]),c_0_185]) ).

cnf(c_0_1418,plain,
    a16 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1411,c_0_1412]),c_0_1413]) ).

cnf(c_0_1419,plain,
    a55 = a135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1383,c_0_1406]),c_0_185]) ).

cnf(c_0_1420,axiom,
    a6 = product(a5,a136),
    knot_06 ).

cnf(c_0_1421,plain,
    product(a52,a39) = a51,
    inference(spm,[status(thm)],[c_0_147,c_0_1414]) ).

cnf(c_0_1422,plain,
    a52 = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1415,c_0_1412]),c_0_185]) ).

cnf(c_0_1423,axiom,
    a137 = product(a136,a39),
    knot_137 ).

cnf(c_0_1424,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a136,a52,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1416,c_0_1417]),c_0_1417]),c_0_1418]),c_0_1419]),c_0_1412]),c_0_1412]),c_0_1418]),c_0_1419]) ).

cnf(c_0_1425,axiom,
    a7 = product(a6,a52),
    knot_07 ).

cnf(c_0_1426,plain,
    product(a6,a136) = a5,
    inference(spm,[status(thm)],[c_0_147,c_0_1420]) ).

cnf(c_0_1427,axiom,
    a138 = product(a137,a51),
    knot_138 ).

cnf(c_0_1428,plain,
    a137 = a51,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1421,c_0_1422]),c_0_1423]) ).

cnf(c_0_1429,plain,
    product(a118,a33) = a113,
    inference(rw,[status(thm)],[c_0_196,c_0_1253]) ).

cnf(c_0_1430,plain,
    product(a70,a33) = product(a68,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_543]),c_0_154]) ).

cnf(c_0_1431,axiom,
    a49 = product(a48,a138),
    knot_49 ).

cnf(c_0_1432,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a136,a51,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a51,a138,a137,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a51,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a51,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1424,c_0_1422]),c_0_1422]) ).

cnf(c_0_1433,plain,
    a7 = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1425,c_0_1422]),c_0_1426]) ).

cnf(c_0_1434,plain,
    a51 = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1427,c_0_1428]),c_0_185]) ).

cnf(c_0_1435,plain,
    product(a82,a33) = a78,
    inference(rw,[status(thm)],[c_0_492,c_0_1245]) ).

cnf(c_0_1436,plain,
    product(a68,a13) = a113,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1429,c_0_1308]),c_0_1430]) ).

cnf(c_0_1437,axiom,
    a25 = product(a24,a49),
    knot_25 ).

cnf(c_0_1438,axiom,
    a48 = product(a47,a20),
    knot_48 ).

cnf(c_0_1439,plain,
    product(a49,a138) = a48,
    inference(spm,[status(thm)],[c_0_147,c_0_1431]) ).

cnf(c_0_1440,plain,
    product(a3,a41) = a2,
    inference(spm,[status(thm)],[c_0_147,c_0_965]) ).

cnf(c_0_1441,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a138,a138,a138,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a78,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a138,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a78,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1432,c_0_1428]),c_0_1428]),c_0_1433]),c_0_1434]),c_0_1434]),c_0_1434]),c_0_1433]),c_0_1434]),c_0_1434]),c_0_1434]) ).

cnf(c_0_1442,plain,
    a78 = a113,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1435,c_0_1315]),c_0_1430]),c_0_1436]) ).

cnf(c_0_1443,plain,
    product(a25,a49) = a24,
    inference(spm,[status(thm)],[c_0_147,c_0_1437]) ).

cnf(c_0_1444,axiom,
    a26 = product(a25,a138),
    knot_26 ).

cnf(c_0_1445,plain,
    product(a48,a20) = a47,
    inference(spm,[status(thm)],[c_0_147,c_0_1438]) ).

cnf(c_0_1446,plain,
    a48 = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1439,c_0_1366]),c_0_1434]),c_0_185]) ).

cnf(c_0_1447,axiom,
    a139 = product(a138,a20),
    knot_139 ).

cnf(c_0_1448,plain,
    product(a3,product(a41,a3)) = product(a2,a3),
    inference(spm,[status(thm)],[c_0_192,c_0_1440]) ).

cnf(c_0_1449,plain,
    product(a2,a42) = a1,
    inference(spm,[status(thm)],[c_0_147,c_0_714]) ).

cnf(c_0_1450,plain,
    product(a42,a2) = a41,
    inference(spm,[status(thm)],[c_0_147,c_0_739]) ).

cnf(c_0_1451,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a24,a48,a138,a138,a138,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a138,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1441,c_0_1442]),c_0_1442]) ).

cnf(c_0_1452,plain,
    a24 = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1443,c_0_1366]),c_0_1434]),c_0_1444]) ).

cnf(c_0_1453,axiom,
    a46 = product(a45,a141),
    knot_46 ).

cnf(c_0_1454,axiom,
    a23 = product(a22,a45),
    knot_23 ).

cnf(c_0_1455,axiom,
    a22 = product(a21,a141),
    knot_22 ).

cnf(c_0_1456,axiom,
    a140 = product(a139,a47),
    knot_140 ).

cnf(c_0_1457,plain,
    a139 = a47,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1445,c_0_1446]),c_0_1447]) ).

cnf(c_0_1458,axiom,
    a47 = product(a46,a11),
    knot_47 ).

cnf(c_0_1459,plain,
    product(a3,product(a39,a14)) = product(a2,a3),
    inference(rw,[status(thm)],[c_0_1448,c_0_994]) ).

cnf(c_0_1460,plain,
    product(product(X1,a3),a14) = product(product(X1,a14),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_972]) ).

cnf(c_0_1461,plain,
    product(a3,a2) = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_965]),c_0_739]),c_0_1449]) ).

cnf(c_0_1462,plain,
    product(a1,a2) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1449]),c_0_1450]),c_0_965]) ).

cnf(c_0_1463,plain,
    product(product(a2,a1),a42) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_736]),c_0_1450]),c_0_965]) ).

cnf(c_0_1464,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a26,a48,a138,a138,a138,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a26,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a138,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a48,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1451,c_0_1452]),c_0_1452]) ).

cnf(c_0_1465,axiom,
    a36 = product(a35,a139),
    knot_36 ).

cnf(c_0_1466,plain,
    product(product(X1,a45),a141) = product(product(X1,a141),a46),
    inference(spm,[status(thm)],[c_0_145,c_0_1453]) ).

cnf(c_0_1467,plain,
    product(a23,a45) = a22,
    inference(spm,[status(thm)],[c_0_147,c_0_1454]) ).

cnf(c_0_1468,plain,
    product(a22,a141) = a21,
    inference(spm,[status(thm)],[c_0_147,c_0_1455]) ).

cnf(c_0_1469,axiom,
    a141 = product(a140,a11),
    knot_141 ).

cnf(c_0_1470,plain,
    a140 = a47,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1456,c_0_1457]),c_0_185]) ).

cnf(c_0_1471,plain,
    product(a47,a11) = a46,
    inference(spm,[status(thm)],[c_0_147,c_0_1458]) ).

cnf(c_0_1472,plain,
    product(a42,a1) = product(a41,a42),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_1450]),c_0_1449]) ).

cnf(c_0_1473,plain,
    product(a5,a4) = product(a4,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_228]),c_0_216]) ).

cnf(c_0_1474,plain,
    product(product(a2,a14),a4) = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_1459]),c_0_1460]),c_0_972]),c_0_228]) ).

cnf(c_0_1475,plain,
    product(product(a3,X1),a14) = product(a4,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_972]) ).

cnf(c_0_1476,plain,
    product(a3,product(a2,a3)) = product(a1,a3),
    inference(spm,[status(thm)],[c_0_192,c_0_1461]) ).

cnf(c_0_1477,plain,
    product(product(a1,a41),a2) = product(a3,a42),
    inference(spm,[status(thm)],[c_0_760,c_0_1462]) ).

cnf(c_0_1478,plain,
    product(a3,a42) = product(a2,a1),
    inference(spm,[status(thm)],[c_0_147,c_0_1463]) ).

cnf(c_0_1479,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a26,a138,a138,a138,a138,a27,a30,a35,a130,a131,a131,a131,a139,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a26,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a138,a50,a139,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a138,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1464,c_0_1446]),c_0_1446]) ).

cnf(c_0_1480,plain,
    product(a36,a139) = a35,
    inference(spm,[status(thm)],[c_0_147,c_0_1465]) ).

cnf(c_0_1481,axiom,
    a37 = product(a36,a47),
    knot_37 ).

cnf(c_0_1482,plain,
    product(product(a23,a141),a46) = a21,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1466,c_0_1467]),c_0_1468]) ).

cnf(c_0_1483,plain,
    a46 = a141,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1469,c_0_1470]),c_0_1471]) ).

cnf(c_0_1484,plain,
    product(product(a41,a3),a2) = product(a41,a42),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_760]),c_0_987]),c_0_1449]),c_0_1472]) ).

cnf(c_0_1485,axiom,
    a45 = product(a44,a23),
    knot_45 ).

cnf(c_0_1486,plain,
    product(product(a4,a40),a39) = product(a4,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_1473]),c_0_726]) ).

cnf(c_0_1487,plain,
    product(a4,a40) = product(a2,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1474]),c_0_1473]) ).

cnf(c_0_1488,plain,
    product(product(a1,a14),a4) = product(a4,a5),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1475,c_0_1476]),c_0_1460]),c_0_1460]),c_0_1474]) ).

cnf(c_0_1489,plain,
    product(product(a1,a41),a2) = product(a2,a1),
    inference(rw,[status(thm)],[c_0_1477,c_0_1478]) ).

cnf(c_0_1490,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a35,a140,a42,a45,a26,a138,a138,a138,a138,a27,a30,a35,a130,a131,a131,a131,a47,a46,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a21,a26,a32,a35,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a140,a47,a138,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1479,c_0_1457]),c_0_1457]) ).

cnf(c_0_1491,plain,
    a35 = a37,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1480,c_0_1457]),c_0_1481]) ).

cnf(c_0_1492,plain,
    a21 = a23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1482,c_0_1483]),c_0_147]) ).

cnf(c_0_1493,plain,
    product(a46,a141) = a45,
    inference(spm,[status(thm)],[c_0_147,c_0_1453]) ).

cnf(c_0_1494,axiom,
    a12 = product(a11,a21),
    knot_12 ).

cnf(c_0_1495,plain,
    product(a41,product(a41,a3)) = product(a42,a3),
    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_971,c_0_1484]),c_0_192]),c_0_987]),c_0_192]),c_0_1440]),c_0_739]) ).

cnf(c_0_1496,plain,
    product(a45,a23) = a44,
    inference(spm,[status(thm)],[c_0_147,c_0_1485]) ).

cnf(c_0_1497,plain,
    product(product(a2,a14),a39) = product(a4,a5),
    inference(rw,[status(thm)],[c_0_1486,c_0_1487]) ).

cnf(c_0_1498,plain,
    product(product(a4,a5),a14) = product(a1,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1488]),c_0_984]) ).

cnf(c_0_1499,plain,
    product(a1,a41) = product(a2,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1489]),c_0_192]),c_0_1462]) ).

cnf(c_0_1500,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a42,a45,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a45,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1490,c_0_1491]),c_0_1491]),c_0_1491]),c_0_1491]),c_0_1492]),c_0_1470]),c_0_1483]),c_0_1492]),c_0_1483]),c_0_1470]) ).

cnf(c_0_1501,plain,
    a45 = a141,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1493,c_0_1483]),c_0_185]) ).

cnf(c_0_1502,plain,
    product(a12,a21) = a11,
    inference(spm,[status(thm)],[c_0_147,c_0_1494]) ).

cnf(c_0_1503,axiom,
    a13 = product(a12,a23),
    knot_13 ).

cnf(c_0_1504,plain,
    product(a41,product(a39,a14)) = product(a42,a3),
    inference(rw,[status(thm)],[c_0_1495,c_0_994]) ).

cnf(c_0_1505,plain,
    product(a45,a23) = a42,
    inference(rw,[status(thm)],[c_0_1496,c_0_1359]) ).

cnf(c_0_1506,axiom,
    a1 = product(a141,a23),
    knot_142 ).

cnf(c_0_1507,plain,
    product(a2,product(a39,a14)) = product(a1,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1497]),c_0_1498]) ).

cnf(c_0_1508,plain,
    product(a97,a42) = a127,
    inference(rw,[status(thm)],[c_0_737,c_0_1180]) ).

cnf(c_0_1509,plain,
    product(a127,a42) = a97,
    inference(rw,[status(thm)],[c_0_715,c_0_1180]) ).

cnf(c_0_1510,axiom,
    a28 = product(a27,a37),
    knot_28 ).

cnf(c_0_1511,axiom,
    a27 = product(a26,a8),
    knot_27 ).

cnf(c_0_1512,axiom,
    a38 = product(a37,a17),
    knot_38 ).

cnf(c_0_1513,axiom,
    a8 = product(a7,a17),
    knot_08 ).

cnf(c_0_1514,plain,
    product(product(a1,a14),a40) = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1280,c_0_1499]),c_0_1460]),c_0_1474]) ).

cnf(c_0_1515,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a11,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a42,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a11,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1500,c_0_1501]),c_0_1501]) ).

cnf(c_0_1516,plain,
    a11 = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1502,c_0_1492]),c_0_1503]) ).

cnf(c_0_1517,plain,
    product(product(a42,a3),product(a39,a14)) = a41,
    inference(spm,[status(thm)],[c_0_147,c_0_1504]) ).

cnf(c_0_1518,plain,
    a42 = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1505,c_0_1501]),c_0_1506]) ).

cnf(c_0_1519,plain,
    product(product(a1,a3),product(a39,a14)) = a2,
    inference(spm,[status(thm)],[c_0_147,c_0_1507]) ).

cnf(c_0_1520,plain,
    product(a97,a42) = a62,
    inference(rw,[status(thm)],[c_0_1508,c_0_1338]) ).

cnf(c_0_1521,plain,
    product(a62,a42) = a97,
    inference(rw,[status(thm)],[c_0_1509,c_0_1338]) ).

cnf(c_0_1522,axiom,
    a29 = product(a28,a17),
    knot_29 ).

cnf(c_0_1523,plain,
    product(product(a27,X1),a37) = product(a28,product(X1,a37)),
    inference(spm,[status(thm)],[c_0_145,c_0_1510]) ).

cnf(c_0_1524,plain,
    product(a27,a8) = a26,
    inference(spm,[status(thm)],[c_0_147,c_0_1511]) ).

cnf(c_0_1525,plain,
    product(product(X1,a17),a38) = product(product(X1,a37),a17),
    inference(spm,[status(thm)],[c_0_145,c_0_1512]) ).

cnf(c_0_1526,plain,
    product(a8,a17) = a7,
    inference(spm,[status(thm)],[c_0_147,c_0_1513]) ).

cnf(c_0_1527,plain,
    product(a4,product(a2,a14)) = product(a1,a14),
    inference(spm,[status(thm)],[c_0_1475,c_0_1461]) ).

cnf(c_0_1528,plain,
    product(a1,a14) = product(a5,a40),
    inference(spm,[status(thm)],[c_0_147,c_0_1514]) ).

cnf(c_0_1529,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a42,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a62,a62,a62,a50,a135,a62,a62,a62,a62,a65,a65,a68,a68,a68,a68,a68,a97,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a62,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a62) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a42,a62,a62,a62,a62,a138,a135,a62,a62,a97,a65,a62,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a62,a62,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1515,c_0_1516]),c_0_1516]) ).

cnf(c_0_1530,plain,
    a2 = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1517,c_0_1518]),c_0_1519]) ).

cnf(c_0_1531,plain,
    a62 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1520,c_0_1518]),c_0_738]),c_0_977]),c_0_1321]) ).

cnf(c_0_1532,plain,
    a97 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1521,c_0_1518]),c_0_1339]),c_0_1349]) ).

cnf(c_0_1533,plain,
    product(a40,product(a4,a40)) = product(a39,a40),
    inference(spm,[status(thm)],[c_0_192,c_0_983]) ).

cnf(c_0_1534,plain,
    product(product(a28,X1),a17) = product(a29,product(X1,a17)),
    inference(spm,[status(thm)],[c_0_145,c_0_1522]) ).

cnf(c_0_1535,plain,
    product(a28,product(a8,a37)) = product(a26,a37),
    inference(spm,[status(thm)],[c_0_1523,c_0_1524]) ).

cnf(c_0_1536,plain,
    product(product(a8,a37),a17) = product(a7,a38),
    inference(spm,[status(thm)],[c_0_1525,c_0_1526]) ).

cnf(c_0_1537,axiom,
    a39 = product(a38,a7),
    knot_39 ).

cnf(c_0_1538,plain,
    product(a4,product(a2,a14)) = product(a5,a40),
    inference(rw,[status(thm)],[c_0_1527,c_0_1528]) ).

cnf(c_0_1539,negated_conjecture,
    tuple(a1,a41,a41,a1,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a1,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68) != tuple(a41,a3,a1,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a1,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,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)],[c_0_1529,c_0_1518]),c_0_1518]),c_0_1518]),c_0_1518]),c_0_1530]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1532]),c_0_1531]),c_0_1531]),c_0_1530]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1531]),c_0_1532]),c_0_1531]),c_0_1531]),c_0_1531]) ).

cnf(c_0_1540,plain,
    a3 = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1450,c_0_1518]),c_0_1462]) ).

cnf(c_0_1541,plain,
    product(a40,product(a2,a14)) = product(a39,a40),
    inference(rw,[status(thm)],[c_0_1533,c_0_1487]) ).

cnf(c_0_1542,plain,
    product(product(a26,a37),a17) = product(a29,product(a7,a38)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1534,c_0_1535]),c_0_1536]) ).

cnf(c_0_1543,plain,
    product(product(X1,a38),a7) = product(product(X1,a7),a39),
    inference(spm,[status(thm)],[c_0_145,c_0_1537]) ).

cnf(c_0_1544,plain,
    product(product(a5,a40),product(a2,a14)) = a4,
    inference(spm,[status(thm)],[c_0_147,c_0_1538]) ).

cnf(c_0_1545,negated_conjecture,
    tuple(a1,a41,a41,a1,a41,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a1,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68) != tuple(a41,a41,a1,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a1,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1539,c_0_1540]),c_0_1540]) ).

cnf(c_0_1546,plain,
    a1 = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_714,c_0_1518]),c_0_185]),c_0_1530]) ).

cnf(c_0_1547,plain,
    product(a62,a41) = a65,
    inference(rw,[status(thm)],[c_0_713,c_0_1195]) ).

cnf(c_0_1548,plain,
    product(a68,a41) = a89,
    inference(rw,[status(thm)],[c_0_1281,c_0_1321]) ).

cnf(c_0_1549,plain,
    product(a39,a7) = a38,
    inference(spm,[status(thm)],[c_0_147,c_0_1537]) ).

cnf(c_0_1550,plain,
    product(product(a39,a40),product(a2,a14)) = a40,
    inference(spm,[status(thm)],[c_0_147,c_0_1541]) ).

cnf(c_0_1551,plain,
    product(product(a29,a7),a39) = product(a26,a17),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1525,c_0_1542]),c_0_246]),c_0_1543]),c_0_147]) ).

cnf(c_0_1552,plain,
    a5 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1544,c_0_1530]),c_0_708]),c_0_147]) ).

cnf(c_0_1553,negated_conjecture,
    tuple(a41,a41,a41,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a89,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a89,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1545,c_0_1546]),c_0_1546]),c_0_1546]),c_0_1546]),c_0_1546]) ).

cnf(c_0_1554,plain,
    a89 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1547,c_0_1531]),c_0_1548]) ).

cnf(c_0_1555,plain,
    product(a39,product(a7,a39)) = product(a38,a39),
    inference(spm,[status(thm)],[c_0_192,c_0_1549]) ).

cnf(c_0_1556,plain,
    a40 = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1550,c_0_1530]),c_0_708]),c_0_147]) ).

cnf(c_0_1557,plain,
    product(product(a26,a17),a39) = product(a29,a7),
    inference(spm,[status(thm)],[c_0_147,c_0_1551]) ).

cnf(c_0_1558,plain,
    product(product(X1,a7),a17) = product(product(X1,a17),a8),
    inference(spm,[status(thm)],[c_0_145,c_0_1513]) ).

cnf(c_0_1559,plain,
    product(a29,a17) = a28,
    inference(spm,[status(thm)],[c_0_147,c_0_1522]) ).

cnf(c_0_1560,plain,
    product(a38,a17) = a37,
    inference(spm,[status(thm)],[c_0_147,c_0_1512]) ).

cnf(c_0_1561,plain,
    a4 = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1474,c_0_1530]),c_0_708]),c_0_983]),c_0_1552]) ).

cnf(c_0_1562,negated_conjecture,
    tuple(a41,a41,a41,a43,a4,a41,a5,a14,a15,a6,a39,a40,a5,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a5,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1553,c_0_1554]),c_0_1554]) ).

cnf(c_0_1563,plain,
    product(a38,a39) = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1555,c_0_1433]),c_0_726]),c_0_216]),c_0_1556]) ).

cnf(c_0_1564,plain,
    product(a26,product(a39,a17)) = product(a28,a8),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_1557]),c_0_1558]),c_0_1559]) ).

cnf(c_0_1565,axiom,
    a11 = product(a10,a37),
    knot_11 ).

cnf(c_0_1566,plain,
    product(product(a39,a17),a8) = a37,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1558,c_0_1549]),c_0_1560]) ).

cnf(c_0_1567,plain,
    product(a39,a17) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1513,c_0_1433]),c_0_1552]),c_0_1561]) ).

cnf(c_0_1568,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a38,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a13,a14,a39,a38,a39,a6,a135,a136,a39,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1562,c_0_1552]),c_0_1552]),c_0_1552]),c_0_1552]),c_0_1561]),c_0_1561]),c_0_1556]),c_0_1561]),c_0_1556]),c_0_1561]),c_0_1561]),c_0_1561]) ).

cnf(c_0_1569,plain,
    a38 = a39,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1563]),c_0_185]) ).

cnf(c_0_1570,plain,
    product(product(a28,a8),product(a39,a17)) = a26,
    inference(spm,[status(thm)],[c_0_147,c_0_1564]) ).

cnf(c_0_1571,plain,
    product(product(a31,X1),a39) = product(a32,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_251]) ).

cnf(c_0_1572,plain,
    product(a31,a5) = a30,
    inference(spm,[status(thm)],[c_0_147,c_0_227]) ).

cnf(c_0_1573,plain,
    product(a8,a37) = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1565,c_0_1403]),c_0_1516]) ).

cnf(c_0_1574,plain,
    a8 = a37,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1566,c_0_1567]),c_0_185]) ).

cnf(c_0_1575,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a39,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a28,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a13,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a28,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1568,c_0_1569]),c_0_1569]) ).

cnf(c_0_1576,plain,
    a28 = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1570,c_0_1567]),c_0_147]) ).

cnf(c_0_1577,axiom,
    a30 = product(a29,a14),
    knot_30 ).

cnf(c_0_1578,plain,
    product(product(a30,X1),a5) = product(a31,product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_227]) ).

cnf(c_0_1579,plain,
    product(a30,a39) = product(a32,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1571,c_0_1572]),c_0_726]) ).

cnf(c_0_1580,plain,
    product(a37,a13) = a32,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_1385]),c_0_1491]) ).

cnf(c_0_1581,plain,
    a37 = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1573,c_0_1574]),c_0_185]) ).

cnf(c_0_1582,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a8,a136,a136,a9,a17,a18,a8,a134,a134,a13,a134,a135,a12,a37,a39,a13,a23,a23,a26,a32,a37,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a37,a36,a141,a141,a141,a25,a138,a50,a47,a138,a26,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a13,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a8,a14,a17,a9,a135,a134,a8,a58,a134,a13,a36,a37,a12,a23,a20,a23,a31,a32,a15,a136,a26,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a37,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a37,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1575,c_0_1576]),c_0_1576]) ).

cnf(c_0_1583,plain,
    product(a30,a14) = a29,
    inference(spm,[status(thm)],[c_0_147,c_0_1577]) ).

cnf(c_0_1584,plain,
    product(product(a32,a4),a5) = product(a31,product(a39,a5)),
    inference(spm,[status(thm)],[c_0_1578,c_0_1579]) ).

cnf(c_0_1585,plain,
    product(a32,a39) = a31,
    inference(spm,[status(thm)],[c_0_147,c_0_251]) ).

cnf(c_0_1586,plain,
    a32 = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1580,c_0_1581]),c_0_185]) ).

cnf(c_0_1587,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a13,a136,a136,a9,a17,a18,a13,a134,a134,a13,a134,a135,a12,a13,a39,a13,a23,a23,a26,a32,a13,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a13,a36,a141,a141,a141,a25,a138,a50,a47,a138,a26,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a13,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a13,a14,a17,a9,a135,a134,a13,a58,a134,a13,a36,a13,a12,a23,a20,a23,a31,a32,a15,a136,a26,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a13,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a13,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1582,c_0_1574]),c_0_1574]),c_0_1574]),c_0_1574]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]),c_0_1581]) ).

cnf(c_0_1588,plain,
    product(a70,a32) = a74,
    inference(rw,[status(thm)],[c_0_1311,c_0_1312]) ).

cnf(c_0_1589,plain,
    product(product(a30,X1),a14) = product(a29,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_1583]) ).

cnf(c_0_1590,plain,
    product(a30,a4) = product(a32,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(spm,[status(thm)],[c_0_748,c_0_1584]),c_0_1571]),c_0_192]),c_0_726]),c_0_216]),c_0_243]),c_0_1585]),c_0_1572]) ).

cnf(c_0_1591,axiom,
    a20 = product(a19,a26),
    knot_20 ).

cnf(c_0_1592,axiom,
    a21 = product(a20,a35),
    knot_21 ).

cnf(c_0_1593,axiom,
    a24 = product(a23,a35),
    knot_24 ).

cnf(c_0_1594,plain,
    a13 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_1586]),c_0_185]) ).

cnf(c_0_1595,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a13,a136,a136,a9,a17,a18,a13,a134,a134,a13,a134,a135,a12,a13,a39,a13,a23,a23,a26,a13,a13,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a13,a36,a141,a141,a141,a25,a138,a50,a47,a138,a26,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a69,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a69,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a13,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a13,a14,a17,a9,a135,a134,a13,a58,a134,a13,a36,a13,a12,a23,a20,a23,a31,a13,a15,a136,a26,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a13,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a13,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a69,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a69,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1587,c_0_1586]),c_0_1586]) ).

cnf(c_0_1596,plain,
    a69 = a74,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1588,c_0_1586]),c_0_305]) ).

cnf(c_0_1597,plain,
    product(a130,a1) = a129,
    inference(spm,[status(thm)],[c_0_147,c_0_1330]) ).

cnf(c_0_1598,axiom,
    a17 = product(a16,a29),
    knot_17 ).

cnf(c_0_1599,plain,
    product(product(a32,a14),a41) = product(a29,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1589,c_0_1590]),c_0_678]),c_0_984]) ).

cnf(c_0_1600,plain,
    product(a20,a26) = a19,
    inference(spm,[status(thm)],[c_0_147,c_0_1591]) ).

cnf(c_0_1601,plain,
    product(a21,a35) = a20,
    inference(spm,[status(thm)],[c_0_147,c_0_1592]) ).

cnf(c_0_1602,plain,
    product(a23,a14) = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1593,c_0_1452]),c_0_1491]),c_0_1581]),c_0_1594]) ).

cnf(c_0_1603,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a13,a136,a136,a9,a17,a18,a13,a134,a134,a13,a134,a135,a12,a13,a39,a13,a23,a23,a26,a13,a13,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a13,a36,a141,a141,a141,a25,a138,a50,a47,a138,a26,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a70,a70,a70,a70,a70,a70,a70,a70,a74,a70,a70,a68,a68,a68,a113,a68,a68,a70,a70,a70,a74,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a70,a70,a70,a113,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a13,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a13,a14,a17,a9,a135,a134,a13,a58,a134,a13,a36,a13,a12,a23,a20,a23,a31,a13,a15,a136,a26,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a13,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a13,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a74,a70,a70,a70,a74,a70,a70,a70,a70,a70,a70,a74,a68,a68,a68,a113,a68,a113,a70,a70,a70,a70,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a70,a70,a70,a68,a74,a74,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1595,c_0_1596]),c_0_1596]),c_0_1596]),c_0_1596]) ).

cnf(c_0_1604,plain,
    a70 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_1586]),c_0_154]) ).

cnf(c_0_1605,plain,
    a113 = a74,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_1586]),c_0_1436]),c_0_1596]) ).

cnf(c_0_1606,plain,
    product(a130,a1) = a127,
    inference(rw,[status(thm)],[c_0_1597,c_0_1275]) ).

cnf(c_0_1607,plain,
    product(product(X1,a53),a29) = product(product(X1,a29),a54),
    inference(spm,[status(thm)],[c_0_145,c_0_1400]) ).

cnf(c_0_1608,plain,
    product(product(a16,X1),a29) = product(a17,product(X1,a29)),
    inference(spm,[status(thm)],[c_0_145,c_0_1598]) ).

cnf(c_0_1609,plain,
    product(a16,a136) = a15,
    inference(spm,[status(thm)],[c_0_147,c_0_1413]) ).

cnf(c_0_1610,plain,
    product(a136,a29) = a135,
    inference(spm,[status(thm)],[c_0_147,c_0_1407]) ).

cnf(c_0_1611,plain,
    product(product(a29,a3),a41) = product(a32,a14),
    inference(spm,[status(thm)],[c_0_147,c_0_1599]) ).

cnf(c_0_1612,plain,
    product(product(X1,a3),a41) = product(product(X1,a41),a2),
    inference(spm,[status(thm)],[c_0_145,c_0_1440]) ).

cnf(c_0_1613,plain,
    product(a20,a26) = a17,
    inference(rw,[status(thm)],[c_0_1600,c_0_1397]) ).

cnf(c_0_1614,plain,
    a20 = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1601,c_0_1491]),c_0_1492]),c_0_1581]),c_0_1594]),c_0_1602]) ).

cnf(c_0_1615,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a17,a18,a14,a134,a134,a14,a134,a135,a12,a14,a39,a14,a23,a23,a26,a14,a14,a14,a135,a29,a30,a17,a58,a20,a131,a58,a22,a26,a27,a14,a36,a141,a141,a141,a25,a138,a50,a47,a138,a26,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a17,a9,a135,a134,a14,a58,a134,a14,a36,a14,a12,a23,a20,a23,a31,a14,a15,a136,a26,a29,a18,a58,a17,a58,a134,a20,a25,a26,a34,a14,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a14,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1603,c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1604]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1605]),c_0_1605]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1594]),c_0_1605]),c_0_1605]) ).

cnf(c_0_1616,plain,
    product(a130,a1) = a62,
    inference(rw,[status(thm)],[c_0_1606,c_0_1338]) ).

cnf(c_0_1617,plain,
    product(product(a15,a29),a54) = product(a14,a29),
    inference(spm,[status(thm)],[c_0_1607,c_0_1411]) ).

cnf(c_0_1618,plain,
    product(a15,a29) = product(a17,a135),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1608,c_0_1609]),c_0_1610]) ).

cnf(c_0_1619,plain,
    product(product(a12,X1),a21) = product(a11,product(X1,a21)),
    inference(spm,[status(thm)],[c_0_145,c_0_1502]) ).

cnf(c_0_1620,plain,
    product(a17,a29) = a16,
    inference(spm,[status(thm)],[c_0_147,c_0_1598]) ).

cnf(c_0_1621,plain,
    product(product(a29,a41),a2) = product(a32,a14),
    inference(rw,[status(thm)],[c_0_1611,c_0_1612]) ).

cnf(c_0_1622,plain,
    a26 = a17,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1613,c_0_1614]),c_0_185]) ).

cnf(c_0_1623,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a17,a18,a14,a134,a134,a14,a134,a135,a12,a14,a39,a14,a23,a23,a26,a14,a14,a14,a135,a29,a30,a17,a58,a26,a131,a58,a22,a26,a27,a14,a36,a141,a141,a141,a25,a138,a50,a47,a138,a26,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a17,a9,a135,a134,a14,a58,a134,a14,a36,a14,a12,a23,a26,a23,a31,a14,a15,a136,a26,a29,a18,a58,a17,a58,a134,a26,a25,a26,a34,a14,a47,a41,a141,a26,a138,a138,a138,a138,a27,a30,a14,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1615,c_0_1614]),c_0_1614]),c_0_1614]) ).

cnf(c_0_1624,plain,
    product(a130,a41) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1616,c_0_1531]),c_0_1546]) ).

cnf(c_0_1625,plain,
    product(product(a17,a135),a54) = product(a14,a29),
    inference(rw,[status(thm)],[c_0_1617,c_0_1618]) ).

cnf(c_0_1626,plain,
    product(a11,product(a23,a21)) = product(a13,a21),
    inference(spm,[status(thm)],[c_0_1619,c_0_1503]) ).

cnf(c_0_1627,plain,
    product(a13,a23) = a12,
    inference(spm,[status(thm)],[c_0_147,c_0_1503]) ).

cnf(c_0_1628,plain,
    product(a17,a29) = a14,
    inference(rw,[status(thm)],[c_0_1620,c_0_1418]) ).

cnf(c_0_1629,plain,
    a29 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1621,c_0_1530]),c_0_147]),c_0_1586]),c_0_1594]),c_0_185]) ).

cnf(c_0_1630,plain,
    product(a17,a14) = a23,
    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_1592,c_0_1491]),c_0_1614]),c_0_1622]),c_0_1581]),c_0_1594]),c_0_1492]) ).

cnf(c_0_1631,plain,
    product(a42,a23) = a45,
    inference(rw,[status(thm)],[c_0_1485,c_0_1359]) ).

cnf(c_0_1632,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a17,a18,a14,a134,a134,a14,a134,a135,a12,a14,a39,a14,a23,a23,a17,a14,a14,a14,a135,a29,a30,a17,a58,a17,a131,a58,a22,a17,a27,a14,a36,a141,a141,a141,a25,a138,a50,a47,a138,a17,a31,a34,a131,a58,a131,a130,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a130,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a130) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a17,a9,a135,a134,a14,a58,a134,a14,a36,a14,a12,a23,a17,a23,a31,a14,a15,a136,a17,a29,a18,a58,a17,a58,a134,a17,a25,a17,a34,a14,a47,a41,a141,a17,a138,a138,a138,a138,a27,a30,a14,a130,a131,a131,a131,a47,a141,a47,a43,a130,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a130,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,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)],[c_0_1623,c_0_1622]),c_0_1622]),c_0_1622]),c_0_1622]),c_0_1622]),c_0_1622]),c_0_1622]),c_0_1622]),c_0_1622]) ).

cnf(c_0_1633,plain,
    a130 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1624]),c_0_1548]),c_0_1554]) ).

cnf(c_0_1634,plain,
    product(a14,a29) = a17,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1625,c_0_1406]),c_0_147]) ).

cnf(c_0_1635,plain,
    product(a14,a23) = a12,
    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_1626,c_0_1492]),c_0_185]),c_0_1492]),c_0_1627]),c_0_1516]),c_0_1594]) ).

cnf(c_0_1636,plain,
    a23 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1628,c_0_1629]),c_0_1630]) ).

cnf(c_0_1637,plain,
    product(a41,a23) = a141,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1631,c_0_1501]),c_0_1518]),c_0_1546]) ).

cnf(c_0_1638,plain,
    product(a89,a3) = product(a87,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_771,c_0_1288]),c_0_984]) ).

cnf(c_0_1639,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a17,a18,a14,a134,a134,a14,a134,a135,a12,a14,a39,a14,a23,a23,a17,a14,a14,a14,a135,a29,a30,a17,a58,a17,a131,a58,a22,a17,a27,a14,a36,a141,a141,a141,a25,a138,a50,a47,a138,a17,a31,a34,a131,a58,a131,a65,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a65) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a17,a9,a135,a134,a14,a58,a134,a14,a36,a14,a12,a23,a17,a23,a31,a14,a15,a136,a17,a29,a18,a58,a17,a58,a134,a17,a25,a17,a34,a14,a47,a41,a141,a17,a138,a138,a138,a138,a27,a30,a14,a65,a131,a131,a131,a47,a141,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,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)],[c_0_1632,c_0_1633]),c_0_1633]),c_0_1633]),c_0_1633]),c_0_1633]),c_0_1633]) ).

cnf(c_0_1640,plain,
    a17 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1634,c_0_1629]),c_0_185]) ).

cnf(c_0_1641,plain,
    a12 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1635,c_0_1636]),c_0_185]) ).

cnf(c_0_1642,plain,
    a30 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1577,c_0_1629]),c_0_185]) ).

cnf(c_0_1643,plain,
    a141 = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1637,c_0_1636]),c_0_708]),c_0_1556]) ).

cnf(c_0_1644,plain,
    product(a87,a14) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1638,c_0_1540]),c_0_688]),c_0_1102]),c_0_1321]) ).

cnf(c_0_1645,plain,
    product(product(a88,a39),a4) = product(a87,a40),
    inference(spm,[status(thm)],[c_0_229,c_0_1288]) ).

cnf(c_0_1646,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a39,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a39,a39,a39,a25,a138,a50,a47,a138,a14,a31,a34,a131,a58,a131,a65,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a85,a87,a87,a88,a87,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a87,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a65) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a31,a14,a15,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a41,a39,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a39,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a85,a87,a87,a87,a87,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1639,c_0_1629]),c_0_1629]),c_0_1640]),c_0_1641]),c_0_1636]),c_0_1636]),c_0_1640]),c_0_1642]),c_0_1640]),c_0_1640]),c_0_1640]),c_0_1643]),c_0_1643]),c_0_1643]),c_0_1640]),c_0_1640]),c_0_1641]),c_0_1636]),c_0_1640]),c_0_1636]),c_0_1640]),c_0_1640]),c_0_1640]),c_0_1640]),c_0_1643]),c_0_1640]),c_0_1642]),c_0_1643]) ).

cnf(c_0_1647,plain,
    a87 = a74,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1644]),c_0_1312]) ).

cnf(c_0_1648,plain,
    product(product(a87,a40),a39) = product(a88,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_1645]),c_0_147]) ).

cnf(c_0_1649,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a39,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a39,a39,a39,a25,a138,a50,a47,a138,a14,a31,a34,a131,a58,a131,a65,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a85,a74,a74,a88,a74,a85,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a74,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a65) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a31,a14,a15,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a41,a39,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a39,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a85,a74,a74,a74,a74,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a85,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,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)],[c_0_1646,c_0_1647]),c_0_1647]),c_0_1647]),c_0_1647]),c_0_1647]),c_0_1647]),c_0_1647]),c_0_1647]) ).

cnf(c_0_1650,plain,
    a85 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_1552]),c_0_1561]),c_0_258]),c_0_1229]),c_0_1604]) ).

cnf(c_0_1651,plain,
    product(product(a84,X1),a39) = product(a83,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_258]) ).

cnf(c_0_1652,plain,
    product(product(a88,a5),a39) = product(a87,a40),
    inference(spm,[status(thm)],[c_0_147,c_0_1648]) ).

cnf(c_0_1653,plain,
    product(a89,a41) = a92,
    inference(rw,[status(thm)],[c_0_688,c_0_1102]) ).

cnf(c_0_1654,plain,
    product(a117,a40) = a88,
    inference(rw,[status(thm)],[c_0_1283,c_0_1287]) ).

cnf(c_0_1655,negated_conjecture,
    tuple(a41,a41,a41,a43,a39,a41,a39,a14,a15,a6,a39,a39,a39,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a39,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a39,a39,a39,a25,a138,a50,a47,a138,a14,a31,a34,a131,a58,a131,a65,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a68,a74,a74,a88,a74,a68,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a74,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a65) != tuple(a41,a41,a41,a41,a41,a39,a39,a14,a14,a39,a39,a39,a6,a135,a136,a39,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a31,a14,a15,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a41,a39,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a39,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a68,a74,a74,a74,a74,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a68,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1649,c_0_1650]),c_0_1650]),c_0_1650]),c_0_1650]) ).

cnf(c_0_1656,plain,
    a39 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1512,c_0_1569]),c_0_1581]),c_0_1594]),c_0_1640]),c_0_185]) ).

cnf(c_0_1657,plain,
    product(a14,a39) = a31,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_1552]),c_0_1590]),c_0_1586]),c_0_1594]),c_0_1556]) ).

cnf(c_0_1658,plain,
    product(a85,a39) = product(a83,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1651,c_0_215]),c_0_726]) ).

cnf(c_0_1659,plain,
    product(product(a2,a3),product(a39,a14)) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_1459]) ).

cnf(c_0_1660,plain,
    product(product(a87,a40),a5) = product(a88,product(a39,a5)),
    inference(spm,[status(thm)],[c_0_204,c_0_1652]) ).

cnf(c_0_1661,plain,
    product(product(a87,X1),a4) = product(a88,product(X1,a4)),
    inference(spm,[status(thm)],[c_0_145,c_0_653]) ).

cnf(c_0_1662,plain,
    product(a88,a40) = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1280,c_0_1653]),c_0_1282]),c_0_691]) ).

cnf(c_0_1663,plain,
    product(a74,a40) = a88,
    inference(rw,[status(thm)],[c_0_1654,c_0_1316]) ).

cnf(c_0_1664,plain,
    product(product(X1,a52),a136) = product(product(X1,a136),a53),
    inference(spm,[status(thm)],[c_0_145,c_0_1408]) ).

cnf(c_0_1665,plain,
    product(product(a15,X1),a53) = product(a14,product(X1,a53)),
    inference(spm,[status(thm)],[c_0_145,c_0_1411]) ).

cnf(c_0_1666,negated_conjecture,
    tuple(a41,a41,a41,a43,a14,a41,a14,a14,a15,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a31,a34,a131,a58,a131,a65,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a68,a74,a74,a88,a74,a68,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a74,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a65) != tuple(a41,a41,a41,a41,a41,a14,a14,a14,a14,a14,a14,a14,a6,a135,a136,a14,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a31,a14,a15,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a41,a14,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a68,a74,a74,a74,a74,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a68,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,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(rw,[status(thm)],[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_1655,c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]),c_0_1656]) ).

cnf(c_0_1667,plain,
    a31 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1657,c_0_1656]),c_0_185]) ).

cnf(c_0_1668,plain,
    product(a68,a39) = a84,
    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_226,c_0_1552]),c_0_1561]),c_0_1658]),c_0_1229]),c_0_1604]),c_0_1561]) ).

cnf(c_0_1669,plain,
    product(a39,a14) = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1659,c_0_1530]),c_0_994]),c_0_145]),c_0_185]),c_0_1540]) ).

cnf(c_0_1670,plain,
    product(a88,a39) = a74,
    inference(rw,[status(thm)],[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_1660,c_0_1552]),c_0_1661]),c_0_983]),c_0_1552]),c_0_216]),c_0_1662]),c_0_1316]) ).

cnf(c_0_1671,plain,
    product(a74,a39) = a88,
    inference(rw,[status(thm)],[c_0_1663,c_0_1556]) ).

cnf(c_0_1672,plain,
    product(a7,a136) = product(a5,a53),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1664,c_0_1425]),c_0_1426]) ).

cnf(c_0_1673,plain,
    product(a14,product(a136,a53)) = product(a16,a53),
    inference(spm,[status(thm)],[c_0_1665,c_0_1413]) ).

cnf(c_0_1674,negated_conjecture,
    tuple(a41,a41,a41,a43,a14,a41,a14,a14,a15,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a41,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a74,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a68,a68,a68,a68,a68,a74,a84,a68,a74,a74,a88,a74,a68,a65,a68,a68,a68,a74,a68,a65,a68,a68,a88,a74,a84,a84,a68,a68,a68,a74,a74,a74,a68,a68,a68,a65,a65) != tuple(a41,a41,a41,a41,a41,a14,a14,a14,a14,a14,a14,a14,a6,a135,a136,a14,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a14,a14,a15,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a41,a14,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a74,a68,a68,a68,a74,a68,a68,a68,a68,a68,a68,a74,a68,a68,a68,a74,a68,a74,a68,a68,a68,a68,a84,a68,a74,a74,a74,a74,a88,a65,a68,a68,a68,a68,a68,a65,a68,a74,a88,a68,a84,a84,a68,a68,a68,a68,a74,a74,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1666,c_0_1667]),c_0_1667]) ).

cnf(c_0_1675,plain,
    a84 = a74,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1668,c_0_1656]),c_0_1312]) ).

cnf(c_0_1676,plain,
    a41 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1669,c_0_1656]),c_0_185]) ).

cnf(c_0_1677,plain,
    a74 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1670,c_0_1656]),c_0_663]),c_0_1554]) ).

cnf(c_0_1678,plain,
    a88 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1671,c_0_1656]),c_0_158]),c_0_1024]) ).

cnf(c_0_1679,plain,
    product(a39,a136) = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1672,c_0_1412]),c_0_1420]),c_0_1433]),c_0_1552]),c_0_1561]) ).

cnf(c_0_1680,plain,
    product(a14,a136) = a15,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1673,c_0_1412]),c_0_185]),c_0_1412]),c_0_1609]) ).

cnf(c_0_1681,plain,
    product(a58,a26) = a134,
    inference(rw,[status(thm)],[c_0_1389,c_0_1398]) ).

cnf(c_0_1682,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a15,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a65,a68,a68,a68,a68,a68,a65,a68,a68,a68,a68,a68,a65,a65,a68,a65,a65,a68,a65,a68,a65,a68,a68,a68,a65,a68,a65,a68,a68,a68,a65,a65,a65,a68,a68,a68,a65,a65,a65,a68,a68,a68,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a135,a136,a14,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a14,a14,a15,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a65,a68,a68,a68,a65,a68,a68,a68,a68,a68,a68,a65,a68,a68,a68,a65,a68,a65,a68,a68,a68,a68,a65,a68,a65,a65,a65,a65,a68,a65,a68,a68,a68,a68,a68,a65,a68,a65,a68,a68,a65,a65,a68,a68,a68,a68,a65,a65,a68,a68,a65,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1674,c_0_1675]),c_0_1675]),c_0_1675]),c_0_1675]),c_0_1675]),c_0_1675]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1678]),c_0_1677]),c_0_1677]),c_0_1678]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1676]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1678]),c_0_1677]),c_0_1678]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677]) ).

cnf(c_0_1683,plain,
    a15 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1679,c_0_1656]),c_0_1680]) ).

cnf(c_0_1684,plain,
    product(a131,a13) = a130,
    inference(spm,[status(thm)],[c_0_147,c_0_1357]) ).

cnf(c_0_1685,plain,
    product(a9,a56) = a8,
    inference(spm,[status(thm)],[c_0_147,c_0_1391]) ).

cnf(c_0_1686,plain,
    product(a58,a14) = a134,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1681,c_0_1622]),c_0_1640]) ).

cnf(c_0_1687,plain,
    product(a134,a14) = a135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1381,c_0_1581]),c_0_1594]) ).

cnf(c_0_1688,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a27,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a65,a68,a68,a68,a68,a68,a65,a68,a68,a68,a68,a68,a65,a65,a68,a65,a65,a68,a65,a68,a65,a68,a68,a68,a65,a68,a65,a68,a68,a68,a65,a65,a65,a68,a68,a68,a65,a65,a65,a68,a68,a68,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a135,a136,a14,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a27,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a65,a68,a68,a68,a65,a68,a68,a68,a68,a68,a68,a65,a68,a68,a68,a65,a68,a65,a68,a68,a68,a68,a65,a68,a65,a65,a65,a65,a68,a65,a68,a68,a68,a68,a68,a65,a68,a65,a68,a68,a65,a65,a68,a68,a68,a68,a65,a65,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1682,c_0_1683]),c_0_1683]) ).

cnf(c_0_1689,plain,
    a27 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1564,c_0_1567]),c_0_1511]),c_0_1576]),c_0_1622]),c_0_1640]),c_0_1574]),c_0_1581]),c_0_1594]),c_0_185]) ).

cnf(c_0_1690,plain,
    product(a131,a14) = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1684,c_0_1594]),c_0_1633]) ).

cnf(c_0_1691,plain,
    product(a65,a14) = a88,
    inference(rw,[status(thm)],[c_0_691,c_0_1554]) ).

cnf(c_0_1692,plain,
    product(a10,a57) = product(a8,a134),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1390,c_0_1685]),c_0_1392]) ).

cnf(c_0_1693,plain,
    product(a10,a134) = a9,
    inference(spm,[status(thm)],[c_0_147,c_0_1392]) ).

cnf(c_0_1694,plain,
    a135 = a58,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1686]),c_0_1687]) ).

cnf(c_0_1695,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a14,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a68,a68,a68,a68,a138,a135,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a68,a68,a68,a68,a68,a65,a68,a68,a68,a68,a68,a65,a68,a68,a68,a68,a68,a65,a65,a68,a65,a65,a68,a65,a68,a65,a68,a68,a68,a65,a68,a65,a68,a68,a68,a65,a65,a65,a68,a68,a68,a65,a65,a65,a68,a68,a68,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a135,a136,a14,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a14,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a68,a68,a68,a50,a135,a68,a68,a68,a68,a65,a65,a68,a68,a68,a68,a68,a65,a68,a65,a68,a68,a68,a65,a68,a68,a68,a68,a68,a68,a65,a68,a68,a68,a65,a68,a65,a68,a68,a68,a68,a65,a68,a65,a65,a65,a65,a68,a65,a68,a68,a68,a68,a68,a65,a68,a65,a68,a68,a65,a65,a68,a68,a68,a68,a65,a65,a68,a68,a65,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1688,c_0_1689]),c_0_1689]) ).

cnf(c_0_1696,plain,
    a68 = a131,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1690]),c_0_1691]),c_0_1678]) ).

cnf(c_0_1697,plain,
    product(a8,a134) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1692,c_0_1398]),c_0_1693]) ).

cnf(c_0_1698,plain,
    product(a136,a14) = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1610,c_0_1629]),c_0_1694]) ).

cnf(c_0_1699,plain,
    product(a47,a14) = a141,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1471,c_0_1483]),c_0_1516]),c_0_1594]) ).

cnf(c_0_1700,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a135,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a135,a14,a14,a14,a58,a14,a131,a58,a22,a14,a14,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a131,a131,a131,a131,a138,a135,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a65,a131,a65,a65,a131,a65,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a135,a136,a14,a136,a138,a14,a14,a14,a9,a135,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a14,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a131,a131,a131,a50,a135,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a131,a65,a131,a65,a65,a65,a65,a131,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a65,a65,a131,a131,a131,a131,a65,a65,a131,a131,a65,a131),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1695,c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]),c_0_1696]) ).

cnf(c_0_1701,plain,
    product(a14,a134) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1697,c_0_1574]),c_0_1581]),c_0_1594]) ).

cnf(c_0_1702,plain,
    a134 = a136,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1698]),c_0_1686]) ).

cnf(c_0_1703,plain,
    product(a22,a141) = a23,
    inference(rw,[status(thm)],[c_0_1468,c_0_1492]) ).

cnf(c_0_1704,plain,
    product(product(a36,X1),a139) = product(a35,product(X1,a139)),
    inference(spm,[status(thm)],[c_0_145,c_0_1480]) ).

cnf(c_0_1705,plain,
    product(product(X1,a139),a47) = product(product(X1,a47),a140),
    inference(spm,[status(thm)],[c_0_145,c_0_1456]) ).

cnf(c_0_1706,plain,
    product(a47,a20) = a138,
    inference(rw,[status(thm)],[c_0_1438,c_0_1446]) ).

cnf(c_0_1707,plain,
    product(a47,a14) = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1699,c_0_1643]),c_0_1656]) ).

cnf(c_0_1708,plain,
    product(product(a34,X1),a60) = product(a35,product(X1,a60)),
    inference(spm,[status(thm)],[c_0_145,c_0_1373]) ).

cnf(c_0_1709,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a138,a14,a136,a136,a9,a14,a18,a14,a134,a134,a14,a134,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a14,a14,a14,a58,a14,a131,a58,a22,a14,a14,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a131,a131,a131,a131,a138,a58,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a65,a131,a65,a65,a131,a65,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a58,a136,a14,a136,a138,a14,a14,a14,a9,a58,a134,a14,a58,a134,a14,a36,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a134,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a14,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a131,a131,a131,a50,a58,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a131,a65,a131,a65,a65,a65,a65,a131,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a65,a65,a131,a131,a131,a131,a65,a65,a131,a131,a65,a131),
    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_1700,c_0_1694]),c_0_1694]),c_0_1694]),c_0_1694]),c_0_1694]),c_0_1694]) ).

cnf(c_0_1710,plain,
    a9 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1701,c_0_1702]),c_0_1680]),c_0_1683]) ).

cnf(c_0_1711,plain,
    product(a22,a14) = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1703,c_0_1636]),c_0_1643]),c_0_1656]) ).

cnf(c_0_1712,plain,
    product(a35,product(a47,a139)) = product(a37,a139),
    inference(spm,[status(thm)],[c_0_1704,c_0_1481]) ).

cnf(c_0_1713,plain,
    product(a35,a47) = product(a37,a140),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1705,c_0_1480]),c_0_1481]) ).

cnf(c_0_1714,plain,
    product(a37,a47) = a36,
    inference(spm,[status(thm)],[c_0_147,c_0_1481]) ).

cnf(c_0_1715,plain,
    product(a26,a138) = a25,
    inference(spm,[status(thm)],[c_0_147,c_0_1444]) ).

cnf(c_0_1716,plain,
    product(a47,a14) = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1706,c_0_1614]),c_0_1622]),c_0_1640]) ).

cnf(c_0_1717,plain,
    a47 = a14,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1707]),c_0_185]) ).

cnf(c_0_1718,plain,
    product(a35,product(a131,a60)) = product(a33,a60),
    inference(spm,[status(thm)],[c_0_1708,c_0_1374]) ).

cnf(c_0_1719,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a138,a14,a136,a136,a6,a14,a18,a14,a136,a136,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a14,a14,a14,a58,a14,a131,a58,a22,a14,a14,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a131,a131,a131,a131,a138,a58,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a65,a131,a65,a65,a131,a65,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a58,a136,a14,a136,a138,a14,a14,a14,a6,a58,a136,a14,a58,a136,a14,a36,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a136,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a14,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a131,a131,a131,a50,a58,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a131,a65,a131,a65,a65,a65,a65,a131,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a65,a65,a131,a131,a131,a131,a65,a65,a131,a131,a65,a131),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1709,c_0_1702]),c_0_1702]),c_0_1702]),c_0_1702]),c_0_1702]),c_0_1702]),c_0_1710]),c_0_1710]) ).

cnf(c_0_1720,plain,
    a22 = a14,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1711]),c_0_185]) ).

cnf(c_0_1721,plain,
    product(a14,a47) = a36,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1712,c_0_1457]),c_0_185]),c_0_1713]),c_0_1457]),c_0_1714]),c_0_1581]),c_0_1594]),c_0_1470]) ).

cnf(c_0_1722,plain,
    product(a14,a138) = a25,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1715,c_0_1622]),c_0_1640]) ).

cnf(c_0_1723,plain,
    a138 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1716,c_0_1717]),c_0_185]) ).

cnf(c_0_1724,plain,
    product(a49,a60) = product(a51,a131),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1345]),c_0_1355]) ).

cnf(c_0_1725,plain,
    product(a35,a131) = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1718,c_0_1361]),c_0_185]),c_0_1361]),c_0_1367]) ).

cnf(c_0_1726,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a138,a14,a136,a136,a6,a14,a18,a14,a136,a136,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a14,a14,a14,a58,a14,a131,a58,a14,a14,a14,a14,a36,a14,a14,a14,a25,a138,a50,a47,a138,a14,a14,a34,a131,a58,a131,a65,a47,a47,a138,a14,a131,a131,a131,a131,a138,a58,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a65,a131,a65,a65,a131,a65,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a58,a136,a14,a136,a138,a14,a14,a14,a6,a58,a136,a14,a58,a136,a14,a36,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a136,a14,a25,a14,a34,a14,a47,a14,a14,a14,a138,a138,a138,a138,a14,a14,a14,a65,a131,a131,a131,a47,a14,a47,a43,a65,a131,a131,a131,a50,a58,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a131,a65,a131,a65,a65,a65,a65,a131,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a65,a65,a131,a131,a131,a131,a65,a65,a131,a131,a65,a131),
    inference(rw,[status(thm)],[c_0_1719,c_0_1720]) ).

cnf(c_0_1727,plain,
    a36 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1721,c_0_1717]),c_0_185]) ).

cnf(c_0_1728,plain,
    a25 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1722,c_0_1723]),c_0_185]) ).

cnf(c_0_1729,plain,
    product(a131,a138) = a58,
    inference(rw,[status(thm)],[c_0_1371,c_0_1378]) ).

cnf(c_0_1730,plain,
    product(a58,a138) = a131,
    inference(rw,[status(thm)],[c_0_1363,c_0_1370]) ).

cnf(c_0_1731,plain,
    product(a138,a131) = a50,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1724,c_0_1361]),c_0_1346]),c_0_1434]) ).

cnf(c_0_1732,plain,
    product(a14,a131) = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1725,c_0_1491]),c_0_1581]),c_0_1594]) ).

cnf(c_0_1733,plain,
    product(a18,a133) = a17,
    inference(spm,[status(thm)],[c_0_147,c_0_1376]) ).

cnf(c_0_1734,plain,
    product(product(X1,a51),a39) = product(product(X1,a39),a52),
    inference(spm,[status(thm)],[c_0_145,c_0_1414]) ).

cnf(c_0_1735,plain,
    product(a137,a39) = a136,
    inference(spm,[status(thm)],[c_0_147,c_0_1423]) ).

cnf(c_0_1736,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a14,a14,a136,a136,a6,a14,a18,a14,a136,a136,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a14,a14,a14,a58,a14,a131,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a50,a14,a14,a14,a14,a34,a131,a58,a131,a65,a14,a14,a14,a14,a131,a131,a131,a131,a14,a58,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a131,a131,a131,a131,a131,a65,a65,a131,a65,a65,a131,a65,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65,a65,a131,a131,a131,a65,a65) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a58,a136,a14,a136,a14,a14,a14,a14,a6,a58,a136,a14,a58,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a136,a14,a14,a14,a34,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a65,a131,a131,a131,a14,a14,a14,a43,a65,a131,a131,a131,a50,a58,a131,a131,a131,a131,a65,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a131,a65,a131,a131,a131,a131,a131,a131,a65,a131,a131,a131,a65,a131,a65,a131,a131,a131,a131,a65,a131,a65,a65,a65,a65,a131,a65,a131,a131,a131,a131,a131,a65,a131,a65,a131,a131,a65,a65,a131,a131,a131,a131,a65,a65,a131,a131,a65,a131),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1726,c_0_1717]),c_0_1717]),c_0_1717]),c_0_1717]),c_0_1717]),c_0_1717]),c_0_1723]),c_0_1727]),c_0_1728]),c_0_1723]),c_0_1723]),c_0_1723]),c_0_1723]),c_0_1723]),c_0_1727]),c_0_1728]),c_0_1723]),c_0_1723]),c_0_1723]),c_0_1723]) ).

cnf(c_0_1737,plain,
    a65 = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1729,c_0_1723]),c_0_1690]) ).

cnf(c_0_1738,plain,
    a131 = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1730,c_0_1723]),c_0_1686]),c_0_1702]) ).

cnf(c_0_1739,plain,
    a50 = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1731,c_0_1723]),c_0_1732]) ).

cnf(c_0_1740,plain,
    product(a19,a132) = product(a17,a58),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1375,c_0_1733]),c_0_1377]) ).

cnf(c_0_1741,plain,
    product(a19,a58) = a18,
    inference(spm,[status(thm)],[c_0_147,c_0_1377]) ).

cnf(c_0_1742,plain,
    product(a52,product(a136,a52)) = product(a53,a52),
    inference(spm,[status(thm)],[c_0_192,c_0_1408]) ).

cnf(c_0_1743,plain,
    product(a136,a52) = product(a138,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1734,c_0_1427]),c_0_1735]) ).

cnf(c_0_1744,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a14,a14,a136,a136,a6,a14,a18,a14,a136,a136,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a14,a14,a14,a58,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a34,a14,a14,a14,a14,a34,a136,a58,a136,a58,a14,a14,a14,a14,a136,a136,a136,a136,a14,a58,a136,a136,a58,a58,a136,a136,a136,a136,a136,a58,a58,a136,a136,a136,a136,a136,a136,a136,a136,a136,a136,a58,a136,a136,a136,a136,a136,a58,a136,a136,a136,a136,a136,a58,a58,a136,a58,a58,a136,a58,a136,a58,a136,a136,a136,a58,a136,a58,a136,a136,a136,a58,a58,a58,a136,a136,a136,a58,a58,a58,a136,a136,a136,a58,a58) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a58,a136,a14,a136,a14,a14,a14,a14,a6,a58,a136,a14,a58,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a136,a14,a14,a14,a34,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a136,a136,a136,a14,a14,a14,a43,a58,a136,a136,a136,a34,a58,a136,a136,a136,a136,a58,a58,a136,a136,a136,a136,a136,a58,a136,a58,a136,a136,a136,a58,a136,a136,a136,a136,a136,a136,a58,a136,a136,a136,a58,a136,a58,a136,a136,a136,a136,a58,a136,a58,a58,a58,a58,a136,a58,a136,a136,a136,a136,a136,a58,a136,a58,a136,a136,a58,a58,a136,a136,a136,a136,a58,a58,a136,a136,a58,a136),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1736,c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1737]),c_0_1738]),c_0_1739]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1739]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]),c_0_1738]) ).

cnf(c_0_1745,plain,
    a34 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1732,c_0_1738]),c_0_1680]),c_0_1683]) ).

cnf(c_0_1746,plain,
    product(a136,a39) = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1423,c_0_1428]),c_0_1434]) ).

cnf(c_0_1747,plain,
    product(a17,a58) = a18,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1740,c_0_1378]),c_0_1741]) ).

cnf(c_0_1748,plain,
    product(a52,product(a138,a39)) = product(a53,a52),
    inference(rw,[status(thm)],[c_0_1742,c_0_1743]) ).

cnf(c_0_1749,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a14,a14,a136,a136,a6,a14,a18,a14,a136,a136,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a14,a14,a14,a58,a14,a136,a58,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a6,a136,a58,a136,a58,a14,a14,a14,a14,a136,a136,a136,a136,a14,a58,a136,a136,a58,a58,a136,a136,a136,a136,a136,a58,a58,a136,a136,a136,a136,a136,a136,a136,a136,a136,a136,a58,a136,a136,a136,a136,a136,a58,a136,a136,a136,a136,a136,a58,a58,a136,a58,a58,a136,a58,a136,a58,a136,a136,a136,a58,a136,a58,a136,a136,a136,a58,a58,a58,a136,a136,a136,a58,a58,a58,a136,a136,a136,a58,a58) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a58,a136,a14,a136,a14,a14,a14,a14,a6,a58,a136,a14,a58,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a58,a14,a58,a136,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a58,a136,a136,a136,a14,a14,a14,a43,a58,a136,a136,a136,a6,a58,a136,a136,a136,a136,a58,a58,a136,a136,a136,a136,a136,a58,a136,a58,a136,a136,a136,a58,a136,a136,a136,a136,a136,a136,a58,a136,a136,a136,a58,a136,a58,a136,a136,a136,a136,a58,a136,a58,a58,a58,a58,a136,a58,a136,a136,a136,a136,a136,a58,a136,a58,a136,a136,a58,a58,a136,a136,a136,a136,a58,a58,a136,a136,a58,a136),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1744,c_0_1745]),c_0_1745]),c_0_1745]),c_0_1745]) ).

cnf(c_0_1750,plain,
    a58 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1746,c_0_1656]),c_0_1698]),c_0_1723]) ).

cnf(c_0_1751,plain,
    product(a14,a58) = a18,
    inference(rw,[status(thm)],[c_0_1747,c_0_1640]) ).

cnf(c_0_1752,plain,
    product(product(a53,a52),product(a138,a39)) = a52,
    inference(spm,[status(thm)],[c_0_147,c_0_1748]) ).

cnf(c_0_1753,plain,
    product(a138,a20) = a47,
    inference(rw,[status(thm)],[c_0_1447,c_0_1457]) ).

cnf(c_0_1754,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a14,a14,a136,a136,a6,a14,a18,a14,a136,a136,a14,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a6,a136,a14,a136,a14,a14,a14,a14,a14,a136,a136,a136,a136,a14,a14,a136,a136,a14,a14,a136,a136,a136,a136,a136,a14,a14,a136,a136,a136,a136,a136,a136,a136,a136,a136,a136,a14,a136,a136,a136,a136,a136,a14,a136,a136,a136,a136,a136,a14,a14,a136,a14,a14,a136,a14,a136,a14,a136,a136,a136,a14,a136,a14,a136,a136,a136,a14,a14,a14,a136,a136,a136,a14,a14,a14,a136,a136,a136,a14,a14) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a136,a14,a136,a14,a14,a14,a14,a6,a14,a136,a14,a14,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a18,a14,a14,a14,a136,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a136,a136,a136,a14,a14,a14,a43,a14,a136,a136,a136,a6,a14,a136,a136,a136,a136,a14,a14,a136,a136,a136,a136,a136,a14,a136,a14,a136,a136,a136,a14,a136,a136,a136,a136,a136,a136,a14,a136,a136,a136,a14,a136,a14,a136,a136,a136,a136,a14,a136,a14,a14,a14,a14,a136,a14,a136,a136,a136,a136,a136,a14,a136,a14,a136,a136,a14,a14,a136,a136,a136,a136,a14,a14,a136,a136,a14,a136),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1749,c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]),c_0_1750]) ).

cnf(c_0_1755,plain,
    a18 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1751,c_0_1750]),c_0_185]) ).

cnf(c_0_1756,plain,
    product(a138,a39) = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1752,c_0_1412]),c_0_1743]),c_0_145]),c_0_185]),c_0_1422]) ).

cnf(c_0_1757,plain,
    product(a138,a14) = a47,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1753,c_0_1614]),c_0_1622]),c_0_1640]) ).

cnf(c_0_1758,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a136,a14,a14,a136,a136,a6,a14,a14,a14,a136,a136,a14,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a6,a136,a14,a136,a14,a14,a14,a14,a14,a136,a136,a136,a136,a14,a14,a136,a136,a14,a14,a136,a136,a136,a136,a136,a14,a14,a136,a136,a136,a136,a136,a136,a136,a136,a136,a136,a14,a136,a136,a136,a136,a136,a14,a136,a136,a136,a136,a136,a14,a14,a136,a14,a14,a136,a14,a136,a14,a136,a136,a136,a14,a136,a14,a136,a136,a136,a14,a14,a14,a136,a136,a136,a14,a14,a14,a136,a136,a136,a14,a14) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a136,a14,a136,a14,a14,a14,a14,a6,a14,a136,a14,a14,a136,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a136,a14,a14,a14,a14,a14,a14,a136,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a136,a136,a136,a14,a14,a14,a43,a14,a136,a136,a136,a6,a14,a136,a136,a136,a136,a14,a14,a136,a136,a136,a136,a136,a14,a136,a14,a136,a136,a136,a14,a136,a136,a136,a136,a136,a136,a14,a136,a136,a136,a14,a136,a14,a136,a136,a136,a136,a14,a136,a14,a14,a14,a14,a136,a14,a136,a136,a136,a136,a136,a14,a136,a14,a136,a136,a14,a14,a136,a136,a136,a136,a14,a14,a136,a136,a14,a136),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1754,c_0_1755]),c_0_1755]) ).

cnf(c_0_1759,plain,
    a136 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1756,c_0_1656]),c_0_1757]),c_0_1717]) ).

cnf(c_0_1760,plain,
    product(a41,a68) = a43,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1343,c_0_1518]),c_0_1546]),c_0_1531]) ).

cnf(c_0_1761,negated_conjecture,
    tuple(a14,a14,a14,a43,a14,a14,a14,a14,a6,a6,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14) != tuple(a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a43,a14,a14,a14,a14,a6,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14,a14),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1758,c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]),c_0_1759]) ).

cnf(c_0_1762,plain,
    a43 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1760,c_0_1676]),c_0_1696]),c_0_1738]),c_0_1759]),c_0_185]) ).

cnf(c_0_1763,plain,
    a6 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1680,c_0_1683]),c_0_1759]),c_0_185]) ).

cnf(c_0_1764,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1763]),c_0_1763]),c_0_1763]),c_0_1763]),c_0_1763]),c_0_1763]),c_0_1763]),c_0_1763]),c_0_1763]),c_0_1763])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : TOP052-1 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n019.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 10:07:29 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 11.20/7.21  % Version  : CSE_E---1.7
% 11.20/7.21  % Problem  : theBenchmark.p
% 11.20/7.21  % SZS status Unsatisfiable for theBenchmark.p
% 11.20/7.21  % SZS output start CNFRefutation
% See solution above
% 11.20/7.26  % Total time : 5.371s
%------------------------------------------------------------------------------