TSTP Solution File: TOP052-1 by E---3.1.00

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : TOP052-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : Sat May  4 10:40:43 EDT 2024

% Result   : Unsatisfiable 19.59s 3.00s
% Output   : CNFRefutation 19.59s
% 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/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',involutory_quandle_02) ).

cnf(knot_69,axiom,
    a69 = product(a68,a32),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_69) ).

cnf(involutory_quandle_01,axiom,
    product(product(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',involutory_quandle_01) ).

cnf(knot_121,axiom,
    a121 = product(a120,a32),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_121) ).

cnf(knot_122,axiom,
    a122 = product(a121,a68),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_122) ).

cnf(knot_14,axiom,
    a14 = product(a13,a32),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_14) ).

cnf(knot_70,axiom,
    a70 = product(a69,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_70) ).

cnf(knot_120,axiom,
    a120 = product(a119,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_120) ).

cnf(knot_119,axiom,
    a119 = product(a118,a70),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_119) ).

cnf(knot_118,axiom,
    a118 = product(a117,a32),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_118) ).

cnf(knot_75,axiom,
    a75 = product(a74,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_75) ).

cnf(knot_116,axiom,
    a116 = product(a115,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_116) ).

cnf(knot_74,axiom,
    a74 = product(a73,a32),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_74) ).

cnf(knot_117,axiom,
    a117 = product(a116,a74),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_117) ).

cnf(knot_76,axiom,
    a76 = product(a75,a68),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_76) ).

cnf(knot_33,axiom,
    a33 = product(a32,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_33) ).

cnf(knot_114,axiom,
    a114 = product(a113,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_114) ).

cnf(knot_115,axiom,
    a115 = product(a114,a68),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_115) ).

cnf(knot_78,axiom,
    a78 = product(a77,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_78) ).

cnf(knot_77,axiom,
    a77 = product(a76,a114),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_77) ).

cnf(knot_113,axiom,
    a113 = product(a112,a33),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_113) ).

cnf(knot_79,axiom,
    a79 = product(a78,a33),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_79) ).

cnf(involutory_quandle,axiom,
    product(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',involutory_quandle) ).

cnf(knot_112,axiom,
    a112 = product(a111,a79),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_112) ).

cnf(knot_111,axiom,
    a111 = product(a110,a119),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_111) ).

cnf(knot_80,axiom,
    a80 = product(a79,a119),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_80) ).

cnf(knot_110,axiom,
    a110 = product(a109,a70),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_110) ).

cnf(knot_81,axiom,
    a81 = product(a80,a70),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_81) ).

cnf(knot_105,axiom,
    a105 = product(a104,a30),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_105) ).

cnf(knot_86,axiom,
    a86 = product(a85,a30),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_86) ).

cnf(knot_82,axiom,
    a82 = product(a81,a109),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_82) ).

cnf(knot_106,axiom,
    a106 = product(a105,a5),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_106) ).

cnf(knot_87,axiom,
    a87 = product(a86,a104),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_87) ).

cnf(knot_85,axiom,
    a85 = product(a84,a5),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_85) ).

cnf(knot_40,axiom,
    a40 = product(a39,a4),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_40) ).

cnf(knot_103,axiom,
    a103 = product(a102,a4),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_103) ).

cnf(knot_102,axiom,
    a102 = product(a101,a40),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_102) ).

cnf(knot_104,axiom,
    a104 = product(a103,a87),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_104) ).

cnf(knot_31,axiom,
    a31 = product(a30,a5),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_31) ).

cnf(knot_05,axiom,
    a5 = product(a4,a39),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_05) ).

cnf(knot_32,axiom,
    a32 = product(a31,a39),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_32) ).

cnf(knot_108,axiom,
    a108 = product(a107,a39),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_108) ).

cnf(knot_107,axiom,
    a107 = product(a106,a84),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_107) ).

cnf(knot_84,axiom,
    a84 = product(a83,a39),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_84) ).

cnf(knot_109,axiom,
    a109 = product(a108,a118),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_109) ).

cnf(knot_83,axiom,
    a83 = product(a82,a118),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_83) ).

cnf(knot_124,axiom,
    a124 = product(a123,a75),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_124) ).

cnf(knot_123,axiom,
    a123 = product(a122,a115),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_123) ).

cnf(knot_73,axiom,
    a73 = product(a72,a82),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_73) ).

cnf(knot_72,axiom,
    a72 = product(a71,a109),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_72) ).

cnf(knot_71,axiom,
    a71 = product(a70,a118),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_71) ).

cnf(knot_101,axiom,
    a101 = product(a100,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_101) ).

cnf(knot_100,axiom,
    a100 = product(a99,a124),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_100) ).

cnf(knot_88,axiom,
    a88 = product(a87,a4),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_88) ).

cnf(knot_42,axiom,
    a42 = product(a41,a2),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_42) ).

cnf(knot_125,axiom,
    a125 = product(a124,a2),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_125) ).

cnf(knot_41,axiom,
    a41 = product(a40,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_41) ).

cnf(knot_92,axiom,
    a92 = product(a91,a124),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_92) ).

cnf(knot_91,axiom,
    a91 = product(a90,a100),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_91) ).

cnf(knot,axiom,
    a2 = product(a1,a42),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot) ).

cnf(knot_89,axiom,
    a89 = product(a88,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_89) ).

cnf(knot_90,axiom,
    a90 = product(a89,a41),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_90) ).

cnf(knot_127,axiom,
    a127 = product(a126,a41),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_127) ).

cnf(knot_126,axiom,
    a126 = product(a125,a65),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_126) ).

cnf(knot_65,axiom,
    a65 = product(a64,a41),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_65) ).

cnf(knot_96,axiom,
    a96 = product(a95,a64),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_96) ).

cnf(knot_95,axiom,
    a95 = product(a94,a127),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_95) ).

cnf(knot_99,axiom,
    a99 = product(a98,a92),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_99) ).

cnf(knot_97,axiom,
    a97 = product(a96,a42),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_97) ).

cnf(knot_68,axiom,
    a68 = product(a67,a98),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_68) ).

cnf(knot_67,axiom,
    a67 = product(a66,a92),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_67) ).

cnf(knot_98,axiom,
    a98 = product(a97,a1),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_98) ).

cnf(knot_94,axiom,
    a94 = product(a93,a41),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_94) ).

cnf(knot_66,axiom,
    a66 = product(a65,a2),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_66) ).

cnf(knot_93,axiom,
    a93 = product(a92,a2),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_93) ).

cnf(knot_03,axiom,
    a3 = product(a2,a41),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_03) ).

cnf(knot_04,axiom,
    a4 = product(a3,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_04) ).

cnf(knot_130,axiom,
    a130 = product(a129,a1),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_130) ).

cnf(knot_129,axiom,
    a129 = product(a128,a62),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_129) ).

cnf(knot_62,axiom,
    a62 = product(a61,a1),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_62) ).

cnf(knot_63,axiom,
    a63 = product(a62,a96),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_63) ).

cnf(knot_64,axiom,
    a64 = product(a63,a127),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_64) ).

cnf(knot_128,axiom,
    a128 = product(a127,a96),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_128) ).

cnf(knot_61,axiom,
    a61 = product(a60,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_61) ).

cnf(knot_60,axiom,
    a60 = product(a59,a131),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_60) ).

cnf(knot_131,axiom,
    a131 = product(a130,a13),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_131) ).

cnf(knot_59,axiom,
    a59 = product(a58,a138),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_59) ).

cnf(knot_132,axiom,
    a132 = product(a131,a138),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_132) ).

cnf(knot_135,axiom,
    a135 = product(a134,a37),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_135) ).

cnf(knot_56,axiom,
    a56 = product(a55,a37),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_56) ).

cnf(knot_55,axiom,
    a55 = product(a54,a135),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_55) ).

cnf(knot_133,axiom,
    a133 = product(a132,a58),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_133) ).

cnf(knot_58,axiom,
    a58 = product(a57,a26),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_58) ).

cnf(knot_57,axiom,
    a57 = product(a56,a134),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_57) ).

cnf(knot_134,axiom,
    a134 = product(a133,a26),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_134) ).

cnf(knot_54,axiom,
    a54 = product(a53,a29),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_54) ).

cnf(knot_53,axiom,
    a53 = product(a52,a136),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_53) ).

cnf(knot_136,axiom,
    a136 = product(a135,a29),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_136) ).

cnf(knot_51,axiom,
    a51 = product(a50,a59),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_51) ).

cnf(knot_50,axiom,
    a50 = product(a49,a131),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_50) ).

cnf(knot_52,axiom,
    a52 = product(a51,a39),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_52) ).

cnf(knot_137,axiom,
    a137 = product(a136,a39),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_137) ).

cnf(knot_49,axiom,
    a49 = product(a48,a138),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_49) ).

cnf(knot_138,axiom,
    a138 = product(a137,a51),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_138) ).

cnf(knot_48,axiom,
    a48 = product(a47,a20),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_48) ).

cnf(knot_139,axiom,
    a139 = product(a138,a20),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_139) ).

cnf(knot_43,axiom,
    a43 = product(a42,a62),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_43) ).

cnf(knot_140,axiom,
    a140 = product(a139,a47),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_140) ).

cnf(knot_47,axiom,
    a47 = product(a46,a11),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_47) ).

cnf(knot_45,axiom,
    a45 = product(a44,a23),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_45) ).

cnf(knot_44,axiom,
    a44 = product(a43,a128),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_44) ).

cnf(knot_46,axiom,
    a46 = product(a45,a141),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_46) ).

cnf(knot_141,axiom,
    a141 = product(a140,a11),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_141) ).

cnf(knot_142,axiom,
    a1 = product(a141,a23),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_142) ).

cnf(knot_23,axiom,
    a23 = product(a22,a45),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_23) ).

cnf(knot_22,axiom,
    a22 = product(a21,a141),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_22) ).

cnf(knot_06,axiom,
    a6 = product(a5,a136),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_06) ).

cnf(knot_09,axiom,
    a9 = product(a8,a56),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_09) ).

cnf(knot_10,axiom,
    a10 = product(a9,a134),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_10) ).

cnf(knot_12,axiom,
    a12 = product(a11,a21),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_12) ).

cnf(knot_08,axiom,
    a8 = product(a7,a17),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_08) ).

cnf(knot_39,axiom,
    a39 = product(a38,a7),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_39) ).

cnf(knot_38,axiom,
    a38 = product(a37,a17),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_38) ).

cnf(knot_07,axiom,
    a7 = product(a6,a52),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_07) ).

cnf(knot_34,axiom,
    a34 = product(a33,a131),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_34) ).

cnf(knot_36,axiom,
    a36 = product(a35,a139),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_36) ).

cnf(knot_13,axiom,
    a13 = product(a12,a23),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_13) ).

cnf(knot_35,axiom,
    a35 = product(a34,a60),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_35) ).

cnf(knot_37,axiom,
    a37 = product(a36,a47),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_37) ).

cnf(knot_11,axiom,
    a11 = product(a10,a37),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_11) ).

cnf(knot_19,axiom,
    a19 = product(a18,a58),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_19) ).

cnf(knot_18,axiom,
    a18 = product(a17,a133),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_18) ).

cnf(knot_25,axiom,
    a25 = product(a24,a49),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_25) ).

cnf(knot_28,axiom,
    a28 = product(a27,a37),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_28) ).

cnf(knot_27,axiom,
    a27 = product(a26,a8),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_27) ).

cnf(knot_26,axiom,
    a26 = product(a25,a138),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_26) ).

cnf(knot_29,axiom,
    a29 = product(a28,a17),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_29) ).

cnf(knot_20,axiom,
    a20 = product(a19,a26),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_20) ).

cnf(knot_21,axiom,
    a21 = product(a20,a35),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_21) ).

cnf(knot_24,axiom,
    a24 = product(a23,a35),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_24) ).

cnf(knot_15,axiom,
    a15 = product(a14,a53),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_15) ).

cnf(knot_17,axiom,
    a17 = product(a16,a29),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_17) ).

cnf(knot_16,axiom,
    a16 = product(a15,a136),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_16) ).

cnf(knot_30,axiom,
    a30 = product(a29,a14),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',knot_30) ).

cnf(goal,negated_conjecture,
    tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a70,a71,a118,a117,a72,a108,a109,a73,a81,a82,a74,a75,a76,a77,a113,a114,a78,a79,a80,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129) != tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a80,a81,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130),
    file('/export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p',goal) ).

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

cnf(c_0_162,plain,
    product(product(a120,a69),a32) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_153]) ).

cnf(c_0_163,plain,
    product(product(X1,a69),a13) = product(product(X1,a13),a70),
    inference(spm,[status(thm)],[c_0_145,c_0_154]) ).

cnf(c_0_164,plain,
    product(a120,a13) = a119,
    inference(spm,[status(thm)],[c_0_147,c_0_155]) ).

cnf(c_0_165,plain,
    product(a119,a70) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_156]) ).

cnf(c_0_166,plain,
    product(a118,a32) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_157]) ).

cnf(c_0_167,plain,
    product(product(X1,a74),a14) = product(product(X1,a14),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_158]) ).

cnf(c_0_168,axiom,
    a117 = product(a116,a74),
    knot_117 ).

cnf(c_0_169,plain,
    product(a116,a14) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_159]) ).

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

cnf(c_0_171,plain,
    product(product(a73,a13),a32) = a75,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_158]) ).

cnf(c_0_172,axiom,
    a33 = product(a32,a13),
    knot_33 ).

cnf(c_0_173,axiom,
    a114 = product(a113,a13),
    knot_114 ).

cnf(c_0_174,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_162]),c_0_163]),c_0_164]),c_0_165]),c_0_166]) ).

cnf(c_0_175,plain,
    product(a117,a14) = product(a115,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).

cnf(c_0_176,axiom,
    a115 = product(a114,a68),
    knot_115 ).

cnf(c_0_177,axiom,
    a78 = product(a77,a13),
    knot_78 ).

cnf(c_0_178,axiom,
    a77 = product(a76,a114),
    knot_77 ).

cnf(c_0_179,plain,
    product(product(a75,a32),a69) = product(a76,a32),
    inference(spm,[status(thm)],[c_0_149,c_0_170]) ).

cnf(c_0_180,plain,
    product(a73,a13) = product(a75,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_171]) ).

cnf(c_0_181,plain,
    product(product(X1,a32),a13) = product(product(X1,a13),a33),
    inference(spm,[status(thm)],[c_0_145,c_0_172]) ).

cnf(c_0_182,axiom,
    a113 = product(a112,a33),
    knot_113 ).

cnf(c_0_183,plain,
    product(a114,a13) = a113,
    inference(spm,[status(thm)],[c_0_147,c_0_173]) ).

cnf(c_0_184,plain,
    product(product(X1,a75),a68) = product(product(X1,a68),a76),
    inference(spm,[status(thm)],[c_0_145,c_0_170]) ).

cnf(c_0_185,plain,
    product(a115,a75) = a122,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_174]),c_0_175]) ).

cnf(c_0_186,plain,
    product(a122,a68) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_150]) ).

cnf(c_0_187,plain,
    product(a115,a68) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_176]) ).

cnf(c_0_188,axiom,
    a79 = product(a78,a33),
    knot_79 ).

cnf(c_0_189,plain,
    product(product(a77,X1),a13) = product(a78,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_177]) ).

cnf(c_0_190,plain,
    product(a77,a114) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_178]) ).

cnf(c_0_191,plain,
    product(product(product(a75,a32),a13),a70) = product(product(a76,a32),a13),
    inference(spm,[status(thm)],[c_0_163,c_0_179]) ).

cnf(c_0_192,plain,
    product(product(a75,a13),a33) = a73,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_180]),c_0_181]) ).

cnf(c_0_193,axiom,
    product(X1,X1) = X1,
    involutory_quandle ).

cnf(c_0_194,axiom,
    a112 = product(a111,a79),
    knot_112 ).

cnf(c_0_195,plain,
    product(a113,a33) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_182]) ).

cnf(c_0_196,plain,
    product(product(a114,X1),a13) = product(a113,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_183]) ).

cnf(c_0_197,plain,
    product(a114,a76) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187]) ).

cnf(c_0_198,plain,
    product(a121,a13) = product(a119,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_148]),c_0_164]) ).

cnf(c_0_199,plain,
    product(product(a78,X1),a33) = product(a79,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_188]) ).

cnf(c_0_200,plain,
    product(a78,a113) = product(a76,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_183]) ).

cnf(c_0_201,plain,
    product(product(a76,a13),a33) = product(a73,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_181]),c_0_181]),c_0_192]) ).

cnf(c_0_202,plain,
    product(product(X1,X2),X1) = product(X1,product(X2,X1)),
    inference(spm,[status(thm)],[c_0_145,c_0_193]) ).

cnf(c_0_203,plain,
    product(a112,a79) = a111,
    inference(spm,[status(thm)],[c_0_147,c_0_194]) ).

cnf(c_0_204,axiom,
    a111 = product(a110,a119),
    knot_111 ).

cnf(c_0_205,plain,
    product(product(a113,X1),a33) = product(a112,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_195]) ).

cnf(c_0_206,plain,
    product(a113,product(a76,a13)) = product(a119,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).

cnf(c_0_207,plain,
    product(a73,a70) = product(a79,a112),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_195]) ).

cnf(c_0_208,plain,
    product(a112,product(a79,a112)) = product(a111,a112),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_209,axiom,
    a80 = product(a79,a119),
    knot_80 ).

cnf(c_0_210,axiom,
    a110 = product(a109,a70),
    knot_110 ).

cnf(c_0_211,axiom,
    a81 = product(a80,a70),
    knot_81 ).

cnf(c_0_212,axiom,
    a105 = product(a104,a30),
    knot_105 ).

cnf(c_0_213,axiom,
    a86 = product(a85,a30),
    knot_86 ).

cnf(c_0_214,plain,
    product(a111,a119) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_204]) ).

cnf(c_0_215,plain,
    product(product(X1,a112),a79) = product(product(X1,a79),a111),
    inference(spm,[status(thm)],[c_0_145,c_0_203]) ).

cnf(c_0_216,plain,
    product(a111,a112) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_147]),c_0_201]),c_0_207]),c_0_208]) ).

cnf(c_0_217,plain,
    product(product(X1,a79),a119) = product(product(X1,a119),a80),
    inference(spm,[status(thm)],[c_0_145,c_0_209]) ).

cnf(c_0_218,plain,
    product(product(X1,a109),a70) = product(product(X1,a70),a110),
    inference(spm,[status(thm)],[c_0_145,c_0_210]) ).

cnf(c_0_219,axiom,
    a82 = product(a81,a109),
    knot_82 ).

cnf(c_0_220,plain,
    product(a81,a70) = a80,
    inference(spm,[status(thm)],[c_0_147,c_0_211]) ).

cnf(c_0_221,axiom,
    a106 = product(a105,a5),
    knot_106 ).

cnf(c_0_222,plain,
    product(product(X1,a104),a30) = product(product(X1,a30),a105),
    inference(spm,[status(thm)],[c_0_145,c_0_212]) ).

cnf(c_0_223,axiom,
    a87 = product(a86,a104),
    knot_87 ).

cnf(c_0_224,plain,
    product(a86,a30) = a85,
    inference(spm,[status(thm)],[c_0_147,c_0_213]) ).

cnf(c_0_225,axiom,
    a85 = product(a84,a5),
    knot_85 ).

cnf(c_0_226,axiom,
    a40 = product(a39,a4),
    knot_40 ).

cnf(c_0_227,axiom,
    a103 = product(a102,a4),
    knot_103 ).

cnf(c_0_228,axiom,
    a102 = product(a101,a40),
    knot_102 ).

cnf(c_0_229,plain,
    product(product(X1,a111),a119) = product(product(X1,a119),a110),
    inference(spm,[status(thm)],[c_0_145,c_0_214]) ).

cnf(c_0_230,plain,
    product(a112,a111) = product(a119,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_194]) ).

cnf(c_0_231,plain,
    product(a112,a119) = product(a110,a80),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_194]),c_0_214]) ).

cnf(c_0_232,plain,
    product(a80,a110) = product(a82,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).

cnf(c_0_233,axiom,
    a104 = product(a103,a87),
    knot_104 ).

cnf(c_0_234,plain,
    product(product(X1,a105),a5) = product(product(X1,a5),a106),
    inference(spm,[status(thm)],[c_0_145,c_0_221]) ).

cnf(c_0_235,plain,
    product(a85,a105) = product(a87,a30),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_236,plain,
    product(a85,a5) = a84,
    inference(spm,[status(thm)],[c_0_147,c_0_225]) ).

cnf(c_0_237,axiom,
    a31 = product(a30,a5),
    knot_31 ).

cnf(c_0_238,axiom,
    a5 = product(a4,a39),
    knot_05 ).

cnf(c_0_239,plain,
    product(product(X1,a4),a40) = product(product(X1,a39),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_226]) ).

cnf(c_0_240,plain,
    product(a103,a4) = a102,
    inference(spm,[status(thm)],[c_0_147,c_0_227]) ).

cnf(c_0_241,plain,
    product(a102,a40) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_228]) ).

cnf(c_0_242,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_243,plain,
    product(a110,product(a82,a70)) = product(a119,a80),
    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_229,c_0_230]),c_0_202]),c_0_209]),c_0_231]),c_0_202]),c_0_232]) ).

cnf(c_0_244,plain,
    product(product(X1,a80),a70) = product(product(X1,a70),a81),
    inference(spm,[status(thm)],[c_0_145,c_0_211]) ).

cnf(c_0_245,plain,
    product(a110,a70) = a109,
    inference(spm,[status(thm)],[c_0_147,c_0_210]) ).

cnf(c_0_246,plain,
    product(product(a104,X1),a30) = product(a105,product(X1,a30)),
    inference(spm,[status(thm)],[c_0_145,c_0_212]) ).

cnf(c_0_247,plain,
    product(a104,a87) = a103,
    inference(spm,[status(thm)],[c_0_147,c_0_233]) ).

cnf(c_0_248,plain,
    product(product(a87,a30),a5) = product(a84,a106),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).

cnf(c_0_249,plain,
    product(product(X1,a30),a5) = product(product(X1,a5),a31),
    inference(spm,[status(thm)],[c_0_145,c_0_237]) ).

cnf(c_0_250,plain,
    product(product(X1,a4),a39) = product(product(X1,a39),a5),
    inference(spm,[status(thm)],[c_0_145,c_0_238]) ).

cnf(c_0_251,plain,
    product(product(a103,a39),a4) = a101,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).

cnf(c_0_252,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_242,c_0_243]),c_0_244]),c_0_165]),c_0_245]) ).

cnf(c_0_253,plain,
    product(product(X1,a81),a109) = product(product(X1,a109),a82),
    inference(spm,[status(thm)],[c_0_145,c_0_219]) ).

cnf(c_0_254,plain,
    product(a82,a109) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_219]) ).

cnf(c_0_255,plain,
    product(product(a111,X1),a119) = product(a110,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_214]) ).

cnf(c_0_256,axiom,
    a32 = product(a31,a39),
    knot_32 ).

cnf(c_0_257,plain,
    product(product(a105,X1),a5) = product(a106,product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_221]) ).

cnf(c_0_258,plain,
    product(a105,product(a87,a30)) = product(a103,a30),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_259,plain,
    product(product(a87,a5),a31) = product(a84,a106),
    inference(rw,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_260,plain,
    product(a101,a39) = product(a103,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_147]) ).

cnf(c_0_261,axiom,
    a108 = product(a107,a39),
    knot_108 ).

cnf(c_0_262,axiom,
    a107 = product(a106,a84),
    knot_107 ).

cnf(c_0_263,axiom,
    a84 = product(a83,a39),
    knot_84 ).

cnf(c_0_264,plain,
    product(product(a118,a109),a82) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_252]),c_0_253]),c_0_254]) ).

cnf(c_0_265,plain,
    product(a111,product(a119,a79)) = product(a119,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_216]),c_0_230]) ).

cnf(c_0_266,axiom,
    a109 = product(a108,a118),
    knot_109 ).

cnf(c_0_267,plain,
    product(product(a110,X1),a70) = product(a109,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_245]) ).

cnf(c_0_268,plain,
    product(a110,product(a110,a80)) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_216]),c_0_193]),c_0_231]) ).

cnf(c_0_269,axiom,
    a83 = product(a82,a118),
    knot_83 ).

cnf(c_0_270,plain,
    product(product(a80,X1),a70) = product(a81,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_211]) ).

cnf(c_0_271,plain,
    product(a80,a119) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_209]) ).

cnf(c_0_272,plain,
    product(product(X1,a31),a39) = product(product(X1,a39),a32),
    inference(spm,[status(thm)],[c_0_145,c_0_256]) ).

cnf(c_0_273,plain,
    product(product(a103,a5),a31) = product(a106,product(a84,a106)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_249]),c_0_249]),c_0_259]) ).

cnf(c_0_274,plain,
    product(product(a103,a5),a39) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_260]) ).

cnf(c_0_275,plain,
    product(product(a107,X1),a39) = product(a108,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_261]) ).

cnf(c_0_276,plain,
    product(a107,a84) = a106,
    inference(spm,[status(thm)],[c_0_147,c_0_262]) ).

cnf(c_0_277,plain,
    product(a84,a39) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_263]) ).

cnf(c_0_278,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_279,plain,
    product(product(a109,a81),a82) = product(a118,a109),
    inference(spm,[status(thm)],[c_0_147,c_0_264]) ).

cnf(c_0_280,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_255,c_0_265]),c_0_202]),c_0_214]),c_0_202]),c_0_209]) ).

cnf(c_0_281,plain,
    product(product(a110,X1),a119) = product(a111,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_204]) ).

cnf(c_0_282,plain,
    product(a109,a118) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_266]) ).

cnf(c_0_283,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_267,c_0_268]),c_0_165]),c_0_244]),c_0_245]) ).

cnf(c_0_284,plain,
    product(product(X1,a82),a118) = product(product(X1,a118),a83),
    inference(spm,[status(thm)],[c_0_145,c_0_269]) ).

cnf(c_0_285,plain,
    product(a81,a118) = product(a79,a70),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_165]) ).

cnf(c_0_286,plain,
    product(product(a106,product(a84,a106)),a39) = product(a101,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).

cnf(c_0_287,plain,
    product(a106,product(a84,a106)) = product(a107,a106),
    inference(spm,[status(thm)],[c_0_202,c_0_262]) ).

cnf(c_0_288,plain,
    product(a106,a39) = product(a108,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_289,plain,
    product(product(X1,a81),a70) = product(product(X1,a70),a80),
    inference(spm,[status(thm)],[c_0_145,c_0_220]) ).

cnf(c_0_290,plain,
    product(product(a118,a109),a81) = product(a109,product(a82,a81)),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_291,plain,
    product(product(a109,X1),a70) = product(a110,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_210]) ).

cnf(c_0_292,plain,
    product(product(a82,a70),a80) = product(a80,product(a110,a80)),
    inference(spm,[status(thm)],[c_0_202,c_0_232]) ).

cnf(c_0_293,plain,
    product(product(a119,a110),a80) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_280]),c_0_281]),c_0_271]),c_0_194]) ).

cnf(c_0_294,plain,
    product(product(a109,X1),a118) = product(a108,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_282]) ).

cnf(c_0_295,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_202,c_0_283]),c_0_202]),c_0_219]),c_0_252]) ).

cnf(c_0_296,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_284,c_0_252]),c_0_202]),c_0_285]),c_0_282]) ).

cnf(c_0_297,plain,
    product(a108,product(a108,a83)) = product(a101,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_287]),c_0_275]),c_0_288]) ).

cnf(c_0_298,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]),c_0_289]),c_0_292]),c_0_218]),c_0_156]),c_0_293]) ).

cnf(c_0_299,plain,
    product(a81,product(a109,a81)) = product(a82,a81),
    inference(spm,[status(thm)],[c_0_202,c_0_219]) ).

cnf(c_0_300,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_294,c_0_295]),c_0_202]),c_0_282]),c_0_202]),c_0_285]),c_0_296]),c_0_297]) ).

cnf(c_0_301,plain,
    product(product(a82,X1),a118) = product(a83,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_269]) ).

cnf(c_0_302,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_267,c_0_298]),c_0_270]),c_0_244]),c_0_245]),c_0_299]) ).

cnf(c_0_303,plain,
    product(a108,product(a108,a83)) = product(a118,a108),
    inference(rw,[status(thm)],[c_0_297,c_0_300]) ).

cnf(c_0_304,plain,
    product(a83,a108) = product(a79,a70),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_254]),c_0_285]),c_0_282]) ).

cnf(c_0_305,plain,
    product(a108,product(a79,a70)) = 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_242,c_0_295]),c_0_290]),c_0_302]),c_0_294]),c_0_285]) ).

cnf(c_0_306,plain,
    product(a112,product(a79,a112)) = a119,
    inference(rw,[status(thm)],[c_0_208,c_0_216]) ).

cnf(c_0_307,axiom,
    a124 = product(a123,a75),
    knot_124 ).

cnf(c_0_308,axiom,
    a123 = product(a122,a115),
    knot_123 ).

cnf(c_0_309,plain,
    product(product(a119,a79),a112) = product(a110,a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_230]),c_0_216]),c_0_231]) ).

cnf(c_0_310,plain,
    product(a108,product(a112,a70)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_303]),c_0_147]),c_0_202]),c_0_304]),c_0_305]) ).

cnf(c_0_311,plain,
    product(product(a119,X1),a70) = product(a118,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_165]) ).

cnf(c_0_312,plain,
    product(a119,product(a79,a112)) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_306]) ).

cnf(c_0_313,plain,
    product(product(a79,a112),a70) = a73,
    inference(spm,[status(thm)],[c_0_147,c_0_207]) ).

cnf(c_0_314,plain,
    product(product(a123,X1),a75) = product(a124,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_145,c_0_307]) ).

cnf(c_0_315,plain,
    product(a123,a115) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_308]) ).

cnf(c_0_316,plain,
    product(a122,a75) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_185]) ).

cnf(c_0_317,plain,
    product(product(a110,a80),a112) = product(a119,a79),
    inference(spm,[status(thm)],[c_0_147,c_0_309]) ).

cnf(c_0_318,plain,
    product(a112,a80) = product(a119,a110),
    inference(spm,[status(thm)],[c_0_147,c_0_293]) ).

cnf(c_0_319,plain,
    product(a110,product(a119,a110)) = product(a111,a110),
    inference(spm,[status(thm)],[c_0_202,c_0_204]) ).

cnf(c_0_320,plain,
    product(a118,product(a112,a70)) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_310]) ).

cnf(c_0_321,plain,
    product(a112,a70) = product(a118,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]) ).

cnf(c_0_322,plain,
    product(a124,a122) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]),c_0_185]) ).

cnf(c_0_323,plain,
    product(product(a108,X1),a118) = product(a109,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_266]) ).

cnf(c_0_324,plain,
    product(product(a79,a70),a118) = a81,
    inference(spm,[status(thm)],[c_0_147,c_0_285]) ).

cnf(c_0_325,plain,
    product(product(a119,a79),a80) = product(a111,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_317]),c_0_318]),c_0_319]) ).

cnf(c_0_326,plain,
    product(product(X1,a118),a70) = product(product(X1,a70),a119),
    inference(spm,[status(thm)],[c_0_145,c_0_156]) ).

cnf(c_0_327,plain,
    product(product(a118,X1),a32) = product(a117,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_166]) ).

cnf(c_0_328,plain,
    product(a118,product(a118,a73)) = a108,
    inference(rw,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_329,plain,
    product(product(X1,a73),a32) = product(product(X1,a32),a74),
    inference(spm,[status(thm)],[c_0_145,c_0_161]) ).

cnf(c_0_330,plain,
    product(a117,a74) = a116,
    inference(spm,[status(thm)],[c_0_147,c_0_168]) ).

cnf(c_0_331,plain,
    product(product(X1,a118),a32) = product(product(X1,a32),a117),
    inference(spm,[status(thm)],[c_0_145,c_0_166]) ).

cnf(c_0_332,plain,
    product(product(a115,X1),a14) = product(a116,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_159]) ).

cnf(c_0_333,plain,
    product(a115,a122) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_322]) ).

cnf(c_0_334,axiom,
    a73 = product(a72,a82),
    knot_73 ).

cnf(c_0_335,plain,
    product(a108,product(a118,a73)) = a118,
    inference(rw,[status(thm)],[c_0_310,c_0_321]) ).

cnf(c_0_336,plain,
    product(product(a112,a70),a118) = product(a109,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_305]),c_0_324]) ).

cnf(c_0_337,plain,
    product(product(a111,a110),a80) = product(a119,a79),
    inference(spm,[status(thm)],[c_0_147,c_0_325]) ).

cnf(c_0_338,plain,
    product(a108,a70) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_282]),c_0_210]),c_0_204]) ).

cnf(c_0_339,plain,
    product(product(a108,a83),a70) = product(a119,a79),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_296]),c_0_156]) ).

cnf(c_0_340,plain,
    product(a117,product(a108,a32)) = a101,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_300]),c_0_327]) ).

cnf(c_0_341,plain,
    product(a108,a32) = product(a117,a116),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]),c_0_166]),c_0_330]) ).

cnf(c_0_342,plain,
    product(product(a108,a32),a117) = product(a109,a32),
    inference(spm,[status(thm)],[c_0_331,c_0_266]) ).

cnf(c_0_343,plain,
    product(a116,a117) = product(a124,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_174]) ).

cnf(c_0_344,axiom,
    a72 = product(a71,a109),
    knot_72 ).

cnf(c_0_345,plain,
    product(a73,a82) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_334]) ).

cnf(c_0_346,plain,
    product(a109,product(a73,a118)) = product(a118,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_335]),c_0_323]) ).

cnf(c_0_347,plain,
    product(a118,product(a73,a118)) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_321]),c_0_202]) ).

cnf(c_0_348,plain,
    product(product(X1,a110),a70) = product(product(X1,a70),a109),
    inference(spm,[status(thm)],[c_0_145,c_0_245]) ).

cnf(c_0_349,plain,
    product(product(a119,a79),a110) = product(a111,product(a82,a70)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_337]),c_0_232]) ).

cnf(c_0_350,plain,
    product(a111,a70) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_338]) ).

cnf(c_0_351,plain,
    product(product(a119,a79),a70) = product(a108,a83),
    inference(spm,[status(thm)],[c_0_147,c_0_339]) ).

cnf(c_0_352,plain,
    product(a117,product(a117,a116)) = a101,
    inference(rw,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_353,plain,
    product(a117,product(a124,a14)) = product(a109,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_341]),c_0_202]),c_0_343]) ).

cnf(c_0_354,axiom,
    a71 = product(a70,a118),
    knot_71 ).

cnf(c_0_355,plain,
    product(a72,a109) = a71,
    inference(spm,[status(thm)],[c_0_147,c_0_344]) ).

cnf(c_0_356,plain,
    product(product(X1,a73),a82) = product(product(X1,a82),a72),
    inference(spm,[status(thm)],[c_0_145,c_0_345]) ).

cnf(c_0_357,plain,
    product(a108,a73) = product(a109,a81),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_346]),c_0_202]),c_0_347]),c_0_282]) ).

cnf(c_0_358,plain,
    product(product(a108,a83),a109) = product(a108,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_242]),c_0_350]),c_0_351]) ).

cnf(c_0_359,plain,
    product(product(X1,a82),a109) = product(product(X1,a109),a81),
    inference(spm,[status(thm)],[c_0_145,c_0_254]) ).

cnf(c_0_360,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_242,c_0_352]),c_0_202]),c_0_343]),c_0_353]) ).

cnf(c_0_361,plain,
    product(product(a117,X1),a32) = product(a118,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_157]) ).

cnf(c_0_362,plain,
    product(a74,a32) = a73,
    inference(spm,[status(thm)],[c_0_147,c_0_161]) ).

cnf(c_0_363,plain,
    product(a119,a112) = a111,
    inference(spm,[status(thm)],[c_0_147,c_0_216]) ).

cnf(c_0_364,plain,
    product(a71,a118) = a70,
    inference(spm,[status(thm)],[c_0_147,c_0_354]) ).

cnf(c_0_365,plain,
    product(product(X1,a72),a109) = product(product(X1,a109),a71),
    inference(spm,[status(thm)],[c_0_145,c_0_355]) ).

cnf(c_0_366,plain,
    product(product(a108,a82),a72) = product(a118,a109),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_279]) ).

cnf(c_0_367,plain,
    product(product(a108,a109),a81) = product(a108,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_358]),c_0_359]) ).

cnf(c_0_368,plain,
    product(product(X1,a80),a119) = product(product(X1,a119),a79),
    inference(spm,[status(thm)],[c_0_145,c_0_271]) ).

cnf(c_0_369,plain,
    product(product(X1,a110),a119) = product(product(X1,a119),a111),
    inference(spm,[status(thm)],[c_0_145,c_0_204]) ).

cnf(c_0_370,plain,
    product(product(X1,a111),a79) = product(product(X1,a79),a112),
    inference(spm,[status(thm)],[c_0_145,c_0_194]) ).

cnf(c_0_371,plain,
    product(product(a109,a32),a116) = a101,
    inference(spm,[status(thm)],[c_0_147,c_0_360]) ).

cnf(c_0_372,plain,
    product(a116,a32) = product(a118,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_330]),c_0_362]) ).

cnf(c_0_373,plain,
    product(a119,product(a110,a80)) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_363]),c_0_214]),c_0_231]) ).

cnf(c_0_374,plain,
    product(product(X1,a71),a118) = product(product(X1,a70),a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_364]),c_0_326]) ).

cnf(c_0_375,plain,
    product(product(a108,a83),a71) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_147]),c_0_359]),c_0_367]) ).

cnf(c_0_376,plain,
    product(product(a110,a79),a112) = product(a119,a80),
    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_368,c_0_337]),c_0_202]),c_0_209]),c_0_369]),c_0_214]),c_0_370]) ).

cnf(c_0_377,plain,
    product(a109,product(a118,a73)) = product(a118,a108),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_371]),c_0_300]),c_0_372]) ).

cnf(c_0_378,plain,
    product(product(a118,X1),a70) = product(a119,product(X1,a70)),
    inference(spm,[status(thm)],[c_0_145,c_0_156]) ).

cnf(c_0_379,plain,
    product(product(a119,a80),a110) = product(a110,a80),
    inference(spm,[status(thm)],[c_0_242,c_0_373]) ).

cnf(c_0_380,plain,
    product(a119,a80) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_193]),c_0_339]),c_0_202]),c_0_209]) ).

cnf(c_0_381,plain,
    product(product(a119,a80),a112) = product(a110,a79),
    inference(spm,[status(thm)],[c_0_147,c_0_376]) ).

cnf(c_0_382,plain,
    product(a110,a112) = product(a119,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_291,c_0_377]),c_0_378]),c_0_338]),c_0_378]),c_0_207]),c_0_312]) ).

cnf(c_0_383,plain,
    product(a110,a80) = product(a118,a110),
    inference(rw,[status(thm)],[c_0_379,c_0_380]) ).

cnf(c_0_384,plain,
    product(a110,a79) = product(a118,a112),
    inference(rw,[status(thm)],[c_0_381,c_0_380]) ).

cnf(c_0_385,plain,
    product(product(a118,a112),a111) = product(a118,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_382]),c_0_370]),c_0_309]),c_0_383]),c_0_384]) ).

cnf(c_0_386,plain,
    product(product(a118,a119),a111) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_383]),c_0_369]),c_0_204]),c_0_194]) ).

cnf(c_0_387,plain,
    product(product(a118,a112),a119) = product(a111,a80),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_384]),c_0_204]) ).

cnf(c_0_388,plain,
    product(a109,product(a81,a82)) = product(a118,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_290]),c_0_202]),c_0_253]),c_0_254]),c_0_147]) ).

cnf(c_0_389,plain,
    product(product(X1,a118),a71) = product(product(X1,a70),a118),
    inference(spm,[status(thm)],[c_0_145,c_0_354]) ).

cnf(c_0_390,plain,
    product(product(a111,a80),a110) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_385]),c_0_369]),c_0_386]),c_0_387]) ).

cnf(c_0_391,plain,
    product(product(a112,a70),a109) = product(a118,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_302]),c_0_253]),c_0_254]),c_0_388]) ).

cnf(c_0_392,plain,
    product(a111,product(a118,a110)) = 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_281,c_0_382]),c_0_202]),c_0_214]),c_0_231]),c_0_383]) ).

cnf(c_0_393,plain,
    product(a119,a118) = product(a118,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_193]),c_0_156]) ).

cnf(c_0_394,plain,
    product(a112,a110) = product(a111,a80),
    inference(spm,[status(thm)],[c_0_147,c_0_390]) ).

cnf(c_0_395,plain,
    product(product(a118,a73),a109) = product(a118,a82),
    inference(rw,[status(thm)],[c_0_391,c_0_321]) ).

cnf(c_0_396,plain,
    product(product(a118,a71),a110) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_392]),c_0_145]),c_0_393]) ).

cnf(c_0_397,plain,
    product(product(a118,a71),a70) = product(a118,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_393]),c_0_165]) ).

cnf(c_0_398,plain,
    product(a71,a70) = product(a70,a119),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_354]),c_0_193]) ).

cnf(c_0_399,plain,
    product(a108,a81) = product(a118,a82),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_394]),c_0_244]),c_0_350]),c_0_321]),c_0_395]) ).

cnf(c_0_400,plain,
    product(a111,a110) = product(a118,a71),
    inference(spm,[status(thm)],[c_0_147,c_0_396]) ).

cnf(c_0_401,plain,
    product(a119,product(a70,a119)) = product(a118,a119),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_378]),c_0_398]) ).

cnf(c_0_402,plain,
    product(product(a118,a82),a81) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_399]) ).

cnf(c_0_403,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_348,c_0_400]),c_0_378]),c_0_398]),c_0_401]),c_0_350]) ).

cnf(c_0_404,plain,
    product(product(a71,X1),a109) = product(a72,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_344]) ).

cnf(c_0_405,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_402]),c_0_359]),c_0_290]),c_0_302]),c_0_321]),c_0_356]),c_0_403]) ).

cnf(c_0_406,plain,
    product(product(a118,a119),a109) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_396]),c_0_350]),c_0_378]),c_0_398]),c_0_401]) ).

cnf(c_0_407,plain,
    product(product(a72,X1),a82) = product(a73,product(X1,a82)),
    inference(spm,[status(thm)],[c_0_145,c_0_334]) ).

cnf(c_0_408,plain,
    product(a72,product(a118,a109)) = product(a70,a109),
    inference(spm,[status(thm)],[c_0_404,c_0_364]) ).

cnf(c_0_409,plain,
    product(product(a118,a73),a71) = a108,
    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_365,c_0_405]),c_0_406]),c_0_359]),c_0_290]),c_0_302]),c_0_321]) ).

cnf(c_0_410,plain,
    product(a118,a81) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_380]),c_0_156]),c_0_165]) ).

cnf(c_0_411,plain,
    product(product(X1,a76),a114) = product(product(X1,a114),a77),
    inference(spm,[status(thm)],[c_0_145,c_0_178]) ).

cnf(c_0_412,plain,
    product(a73,product(product(a118,a109),a82)) = product(product(a70,a109),a82),
    inference(spm,[status(thm)],[c_0_407,c_0_408]) ).

cnf(c_0_413,plain,
    product(a119,product(a118,a110)) = a110,
    inference(rw,[status(thm)],[c_0_373,c_0_383]) ).

cnf(c_0_414,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_374,c_0_409]),c_0_266]),c_0_378]),c_0_207]),c_0_312]),c_0_231]),c_0_383]) ).

cnf(c_0_415,plain,
    product(a119,a109) = product(a109,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_410]),c_0_264]) ).

cnf(c_0_416,plain,
    product(product(a122,X1),a115) = product(a123,product(X1,a115)),
    inference(spm,[status(thm)],[c_0_145,c_0_308]) ).

cnf(c_0_417,plain,
    product(product(X1,a115),a14) = product(product(X1,a14),a116),
    inference(spm,[status(thm)],[c_0_145,c_0_159]) ).

cnf(c_0_418,plain,
    product(a78,a13) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_177]) ).

cnf(c_0_419,plain,
    product(a13,a33) = product(a14,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_152]),c_0_193]) ).

cnf(c_0_420,plain,
    product(product(X1,a114),a68) = product(product(X1,a68),a115),
    inference(spm,[status(thm)],[c_0_145,c_0_176]) ).

cnf(c_0_421,plain,
    product(a121,a114) = product(a114,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_197]),c_0_193]) ).

cnf(c_0_422,plain,
    product(product(a70,a109),a82) = product(a73,product(a109,a81)),
    inference(rw,[status(thm)],[c_0_412,c_0_264]) ).

cnf(c_0_423,plain,
    product(a109,a81) = a110,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_414]),c_0_415]) ).

cnf(c_0_424,plain,
    product(a123,product(a75,a115)) = a115,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_316]),c_0_193]) ).

cnf(c_0_425,plain,
    product(product(a122,a14),a116) = product(a123,a14),
    inference(spm,[status(thm)],[c_0_417,c_0_308]) ).

cnf(c_0_426,plain,
    product(a79,product(a14,a13)) = product(a77,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_418]),c_0_419]) ).

cnf(c_0_427,plain,
    product(product(a123,a68),a76) = product(a124,a68),
    inference(spm,[status(thm)],[c_0_184,c_0_307]) ).

cnf(c_0_428,plain,
    product(product(a114,a77),a68) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_150]),c_0_308]) ).

cnf(c_0_429,axiom,
    a101 = product(a100,a14),
    knot_101 ).

cnf(c_0_430,plain,
    product(product(a70,a109),a82) = product(a73,a110),
    inference(rw,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_431,plain,
    product(a115,product(a75,a115)) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_424]) ).

cnf(c_0_432,plain,
    product(a123,a14) = product(a117,a116),
    inference(rw,[status(thm)],[c_0_425,c_0_174]) ).

cnf(c_0_433,plain,
    product(a75,a14) = a74,
    inference(spm,[status(thm)],[c_0_147,c_0_158]) ).

cnf(c_0_434,plain,
    product(product(a77,a33),a13) = product(product(a79,a13),a14),
    inference(spm,[status(thm)],[c_0_242,c_0_426]) ).

cnf(c_0_435,plain,
    product(a33,a13) = a32,
    inference(spm,[status(thm)],[c_0_147,c_0_172]) ).

cnf(c_0_436,plain,
    product(a122,a124) = product(a123,a122),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_308]),c_0_333]) ).

cnf(c_0_437,plain,
    product(product(X1,a122),a115) = product(product(X1,a115),a123),
    inference(spm,[status(thm)],[c_0_145,c_0_308]) ).

cnf(c_0_438,plain,
    product(product(product(a123,a68),a114),a77) = product(product(a124,a68),a114),
    inference(spm,[status(thm)],[c_0_411,c_0_427]) ).

cnf(c_0_439,plain,
    product(a123,a68) = product(a114,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_428]) ).

cnf(c_0_440,plain,
    product(product(a114,a77),a114) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_421]) ).

cnf(c_0_441,plain,
    product(a101,a14) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_429]) ).

cnf(c_0_442,plain,
    product(a101,product(a108,a32)) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_340]) ).

cnf(c_0_443,plain,
    product(product(a73,a110),a109) = product(a70,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_430]),c_0_147]) ).

cnf(c_0_444,plain,
    product(a109,a110) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_414]) ).

cnf(c_0_445,plain,
    product(product(a116,X1),a74) = product(a117,product(X1,a74)),
    inference(spm,[status(thm)],[c_0_145,c_0_168]) ).

cnf(c_0_446,plain,
    product(a116,product(a74,a116)) = product(a117,a116),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_431]),c_0_432]),c_0_417]),c_0_433]) ).

cnf(c_0_447,plain,
    product(product(X1,a116),a74) = product(product(X1,a74),a117),
    inference(spm,[status(thm)],[c_0_145,c_0_168]) ).

cnf(c_0_448,plain,
    product(product(X1,a119),a13) = product(product(X1,a13),a120),
    inference(spm,[status(thm)],[c_0_145,c_0_155]) ).

cnf(c_0_449,plain,
    product(product(a79,a13),a14) = product(a78,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_189]),c_0_435]) ).

cnf(c_0_450,plain,
    product(a124,product(a123,a122)) = product(a115,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_322]),c_0_436]) ).

cnf(c_0_451,plain,
    product(a115,a123) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_333]),c_0_193]) ).

cnf(c_0_452,plain,
    product(product(a124,a68),a114) = product(a121,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_440]) ).

cnf(c_0_453,plain,
    product(product(a101,X1),a14) = product(a100,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_441]) ).

cnf(c_0_454,plain,
    product(a101,product(a117,a116)) = a117,
    inference(rw,[status(thm)],[c_0_442,c_0_341]) ).

cnf(c_0_455,plain,
    product(product(X1,a116),a14) = product(product(X1,a14),a115),
    inference(spm,[status(thm)],[c_0_145,c_0_169]) ).

cnf(c_0_456,plain,
    product(product(a70,a81),a110) = product(a73,a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_443]),c_0_444]) ).

cnf(c_0_457,plain,
    product(a112,product(a110,a80)) = product(a119,a80),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_298]),c_0_268]) ).

cnf(c_0_458,plain,
    product(a117,product(a74,a117)) = product(a124,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_445,c_0_446]),c_0_447]),c_0_330]),c_0_343]),c_0_447]),c_0_193]) ).

cnf(c_0_459,plain,
    product(product(X1,a120),a32) = product(product(X1,a32),a121),
    inference(spm,[status(thm)],[c_0_145,c_0_148]) ).

cnf(c_0_460,plain,
    product(product(a79,a13),a120) = product(a80,a13),
    inference(spm,[status(thm)],[c_0_448,c_0_209]) ).

cnf(c_0_461,plain,
    product(a77,a32) = product(a79,a13),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_449]),c_0_160]),c_0_418]) ).

cnf(c_0_462,plain,
    product(product(a115,a124),a122) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_450]),c_0_322]),c_0_451]) ).

cnf(c_0_463,plain,
    product(product(a121,a77),a68) = product(a124,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_452]),c_0_147]) ).

cnf(c_0_464,plain,
    product(a100,a123) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_454]),c_0_175]),c_0_185]),c_0_455]),c_0_175]),c_0_185]),c_0_308]) ).

cnf(c_0_465,axiom,
    a100 = product(a99,a124),
    knot_100 ).

cnf(c_0_466,plain,
    product(a80,product(a119,a80)) = product(a79,a80),
    inference(spm,[status(thm)],[c_0_202,c_0_271]) ).

cnf(c_0_467,plain,
    product(product(a73,a118),a110) = product(a70,a81),
    inference(spm,[status(thm)],[c_0_147,c_0_456]) ).

cnf(c_0_468,plain,
    product(product(a79,X1),a119) = product(a80,product(X1,a119)),
    inference(spm,[status(thm)],[c_0_145,c_0_209]) ).

cnf(c_0_469,plain,
    product(a112,product(a118,a110)) = a118,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_380]),c_0_383]) ).

cnf(c_0_470,plain,
    product(a110,a118) = product(a108,a71),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_282]),c_0_210]) ).

cnf(c_0_471,plain,
    product(product(a124,a14),product(a74,a117)) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_458]) ).

cnf(c_0_472,plain,
    product(product(a74,X1),a14) = product(a75,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_158]) ).

cnf(c_0_473,plain,
    product(product(a119,X1),a13) = product(a120,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_155]) ).

cnf(c_0_474,plain,
    product(product(product(a79,a13),a32),a121) = product(product(a80,a13),a32),
    inference(spm,[status(thm)],[c_0_459,c_0_460]) ).

cnf(c_0_475,plain,
    product(product(a79,a13),a32) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_461]) ).

cnf(c_0_476,plain,
    product(product(X1,a122),a68) = product(product(X1,a68),a121),
    inference(spm,[status(thm)],[c_0_145,c_0_186]) ).

cnf(c_0_477,plain,
    product(product(a124,a115),a122) = product(a115,a124),
    inference(spm,[status(thm)],[c_0_147,c_0_462]) ).

cnf(c_0_478,plain,
    product(product(a124,a115),a68) = product(a121,a77),
    inference(spm,[status(thm)],[c_0_147,c_0_463]) ).

cnf(c_0_479,plain,
    product(product(a115,X1),a68) = product(a114,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_187]) ).

cnf(c_0_480,plain,
    product(product(X1,a123),a115) = product(product(X1,a115),a122),
    inference(spm,[status(thm)],[c_0_145,c_0_315]) ).

cnf(c_0_481,plain,
    product(a122,a123) = a100,
    inference(spm,[status(thm)],[c_0_147,c_0_464]) ).

cnf(c_0_482,plain,
    product(a100,a124) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_465]) ).

cnf(c_0_483,plain,
    product(product(X1,a123),a75) = product(product(X1,a75),a124),
    inference(spm,[status(thm)],[c_0_145,c_0_307]) ).

cnf(c_0_484,plain,
    product(product(X1,a117),a32) = product(product(X1,a32),a118),
    inference(spm,[status(thm)],[c_0_145,c_0_157]) ).

cnf(c_0_485,plain,
    product(a80,a118) = product(a79,a80),
    inference(rw,[status(thm)],[c_0_466,c_0_380]) ).

cnf(c_0_486,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_348,c_0_467]),c_0_202]),c_0_220]),c_0_326]),c_0_207]),c_0_468]),c_0_231]),c_0_383]),c_0_414]),c_0_147]) ).

cnf(c_0_487,plain,
    product(a118,product(a118,a110)) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_469]) ).

cnf(c_0_488,plain,
    product(a108,a71) = product(a119,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_380]),c_0_470]) ).

cnf(c_0_489,plain,
    product(a124,product(a75,a122)) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_471]),c_0_175]),c_0_185]),c_0_472]),c_0_175]),c_0_185]) ).

cnf(c_0_490,plain,
    product(a121,a76) = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_316]),c_0_187]),c_0_186]) ).

cnf(c_0_491,plain,
    product(product(a120,X1),a32) = product(a121,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_148]) ).

cnf(c_0_492,plain,
    product(a120,product(a80,a13)) = product(a118,a13),
    inference(spm,[status(thm)],[c_0_473,c_0_380]) ).

cnf(c_0_493,plain,
    product(product(a80,a13),a32) = product(a77,a121),
    inference(rw,[status(thm)],[c_0_474,c_0_475]) ).

cnf(c_0_494,plain,
    product(a121,product(a77,a121)) = product(a114,product(a124,a68)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_477]),c_0_478]),c_0_202]),c_0_479]) ).

cnf(c_0_495,plain,
    product(product(a123,a122),a124) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_436]) ).

cnf(c_0_496,plain,
    product(a123,a122) = product(a100,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_308]) ).

cnf(c_0_497,plain,
    product(product(a100,X1),a124) = product(a99,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_482]) ).

cnf(c_0_498,plain,
    product(a115,a124) = product(a100,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_481]),c_0_316]) ).

cnf(c_0_499,plain,
    product(product(a124,a14),a32) = product(product(a118,a73),a118),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_343]),c_0_372]) ).

cnf(c_0_500,plain,
    product(product(a79,a80),a118) = a80,
    inference(spm,[status(thm)],[c_0_147,c_0_485]) ).

cnf(c_0_501,plain,
    a80 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_486]),c_0_193]) ).

cnf(c_0_502,plain,
    product(a118,product(a119,a110)) = product(a112,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_487]),c_0_202]),c_0_470]),c_0_488]) ).

cnf(c_0_503,plain,
    product(product(a113,X1),a13) = product(a114,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_173]) ).

cnf(c_0_504,plain,
    product(product(a122,X1),a68) = product(a121,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_186]) ).

cnf(c_0_505,plain,
    product(a122,product(a75,a122)) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_489]) ).

cnf(c_0_506,plain,
    product(product(a75,X1),a68) = product(a76,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_170]) ).

cnf(c_0_507,plain,
    product(a121,product(a76,a121)) = product(a114,a121),
    inference(spm,[status(thm)],[c_0_202,c_0_490]) ).

cnf(c_0_508,plain,
    product(a114,product(a124,a68)) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_327]),c_0_152]),c_0_175]),c_0_185]),c_0_493]),c_0_494]) ).

cnf(c_0_509,plain,
    product(a99,product(a100,a75)) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_496]),c_0_497]),c_0_498]) ).

cnf(c_0_510,plain,
    product(product(a118,a73),a118) = product(a118,product(a73,a118)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_458]),c_0_484]),c_0_362]),c_0_499]) ).

cnf(c_0_511,plain,
    a81 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_501]),c_0_324]),c_0_501]) ).

cnf(c_0_512,plain,
    product(a118,product(a119,a110)) = product(a111,a80),
    inference(rw,[status(thm)],[c_0_502,c_0_394]) ).

cnf(c_0_513,plain,
    product(a112,a13) = product(a114,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_195]),c_0_435]) ).

cnf(c_0_514,plain,
    product(product(a124,a115),a75) = product(a122,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_451]),c_0_185]) ).

cnf(c_0_515,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_504,c_0_505]),c_0_506]),c_0_186]),c_0_507]) ).

cnf(c_0_516,plain,
    product(product(a100,a75),a122) = product(a124,a115),
    inference(rw,[status(thm)],[c_0_462,c_0_498]) ).

cnf(c_0_517,plain,
    product(a100,a75) = a121,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_508]),c_0_186]),c_0_176]),c_0_498]) ).

cnf(c_0_518,plain,
    product(a122,product(a100,a75)) = a99,
    inference(spm,[status(thm)],[c_0_147,c_0_509]) ).

cnf(c_0_519,plain,
    product(product(a81,X1),a109) = product(a82,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_219]) ).

cnf(c_0_520,plain,
    product(product(a124,a14),a32) = product(a118,product(a73,a118)),
    inference(rw,[status(thm)],[c_0_499,c_0_510]) ).

cnf(c_0_521,plain,
    product(a73,a118) = product(a70,a110),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_511]),c_0_193]) ).

cnf(c_0_522,plain,
    product(product(a70,X1),a118) = product(a71,product(X1,a118)),
    inference(spm,[status(thm)],[c_0_145,c_0_354]) ).

cnf(c_0_523,plain,
    product(a119,a110) = product(a118,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_409]),c_0_488]) ).

cnf(c_0_524,plain,
    product(a111,a80) = a108,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_414]),c_0_282]),c_0_470]),c_0_488]),c_0_512]) ).

cnf(c_0_525,plain,
    product(product(a73,X1),a32) = product(a74,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_161]) ).

cnf(c_0_526,plain,
    product(product(a111,a13),a120) = product(a110,a13),
    inference(spm,[status(thm)],[c_0_448,c_0_214]) ).

cnf(c_0_527,plain,
    product(a120,product(a114,a32)) = product(a111,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_363]),c_0_513]) ).

cnf(c_0_528,plain,
    product(product(a122,a124),a68) = product(product(a121,a77),a76),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_514]),c_0_478]) ).

cnf(c_0_529,plain,
    product(product(a114,a77),a121) = product(a121,product(a124,a68)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_421]),c_0_515]) ).

cnf(c_0_530,plain,
    product(a121,a122) = product(a124,a115),
    inference(rw,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_531,plain,
    product(product(X1,a115),a68) = product(product(X1,a68),a114),
    inference(spm,[status(thm)],[c_0_145,c_0_187]) ).

cnf(c_0_532,plain,
    product(a122,a121) = a99,
    inference(rw,[status(thm)],[c_0_518,c_0_517]) ).

cnf(c_0_533,plain,
    product(product(a79,a70),a109) = product(a82,product(a118,a109)),
    inference(spm,[status(thm)],[c_0_519,c_0_285]) ).

cnf(c_0_534,plain,
    product(a118,a109) = a112,
    inference(rw,[status(thm)],[c_0_487,c_0_414]) ).

cnf(c_0_535,plain,
    product(a108,a73) = a110,
    inference(rw,[status(thm)],[c_0_357,c_0_423]) ).

cnf(c_0_536,plain,
    product(product(a118,product(a73,a118)),a32) = product(a124,a14),
    inference(spm,[status(thm)],[c_0_147,c_0_520]) ).

cnf(c_0_537,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_521]),c_0_522]),c_0_470]),c_0_488]),c_0_523]) ).

cnf(c_0_538,plain,
    product(a73,a109) = product(a71,a81),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_334]),c_0_355]) ).

cnf(c_0_539,plain,
    product(a70,a119) = a79,
    inference(rw,[status(thm)],[c_0_271,c_0_501]) ).

cnf(c_0_540,plain,
    product(a118,a82) = a111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_524]),c_0_338]),c_0_350]),c_0_399]) ).

cnf(c_0_541,plain,
    product(product(a82,a70),a119) = product(a79,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_232]),c_0_271]) ).

cnf(c_0_542,plain,
    product(product(a71,a70),a110) = product(a72,a70),
    inference(spm,[status(thm)],[c_0_218,c_0_344]) ).

cnf(c_0_543,plain,
    product(product(a109,a81),a32) = product(a124,a14),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_347]),c_0_525]),c_0_166]),c_0_458]) ).

cnf(c_0_544,plain,
    product(product(product(a111,a13),a32),a121) = product(product(a110,a13),a32),
    inference(spm,[status(thm)],[c_0_459,c_0_526]) ).

cnf(c_0_545,plain,
    product(product(a111,a13),a32) = product(a114,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_527]),c_0_148]),c_0_421]) ).

cnf(c_0_546,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_528,c_0_436]),c_0_476]),c_0_439]),c_0_529]) ).

cnf(c_0_547,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_476,c_0_530]),c_0_531]),c_0_452]),c_0_150]),c_0_532]) ).

cnf(c_0_548,plain,
    product(product(a79,a70),a109) = product(a82,a112),
    inference(rw,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_549,plain,
    product(a79,a70) = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_501]),c_0_354]),c_0_501]) ).

cnf(c_0_550,plain,
    product(a110,a82) = a112,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_535]),c_0_366]),c_0_534]) ).

cnf(c_0_551,plain,
    product(product(product(a118,product(a73,a118)),a13),a32) = a124,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_536]),c_0_147]) ).

cnf(c_0_552,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_404,c_0_537]),c_0_538]),c_0_511]),c_0_398]),c_0_539]),c_0_395]),c_0_540]) ).

cnf(c_0_553,plain,
    product(a111,a82) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_540]) ).

cnf(c_0_554,plain,
    product(a83,a70) = product(a79,a111),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_269]),c_0_541]) ).

cnf(c_0_555,plain,
    product(product(a70,a119),a110) = product(a72,a70),
    inference(rw,[status(thm)],[c_0_542,c_0_398]) ).

cnf(c_0_556,plain,
    product(a110,a32) = product(a124,a14),
    inference(rw,[status(thm)],[c_0_543,c_0_423]) ).

cnf(c_0_557,plain,
    product(product(a110,a13),a32) = product(a121,product(a124,a68)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_545]),c_0_529]) ).

cnf(c_0_558,plain,
    product(a121,product(a124,a68)) = product(a99,a76),
    inference(rw,[status(thm)],[c_0_546,c_0_547]) ).

cnf(c_0_559,plain,
    product(a82,a112) = a72,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_548,c_0_549]),c_0_344]) ).

cnf(c_0_560,plain,
    product(a112,a82) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_550]) ).

cnf(c_0_561,plain,
    product(product(a118,product(a73,a118)),a13) = product(a124,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_551]) ).

cnf(c_0_562,plain,
    product(a115,product(a124,a115)) = product(a124,a123),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_477]),c_0_202]),c_0_147]) ).

cnf(c_0_563,plain,
    product(a79,a82) = product(a70,a110),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_552]),c_0_553]),c_0_521]) ).

cnf(c_0_564,plain,
    product(product(a79,a111),a70) = a83,
    inference(spm,[status(thm)],[c_0_147,c_0_554]) ).

cnf(c_0_565,plain,
    product(a79,a111) = a72,
    inference(spm,[status(thm)],[c_0_147,c_0_552]) ).

cnf(c_0_566,plain,
    product(a72,a70) = product(a79,a110),
    inference(rw,[status(thm)],[c_0_555,c_0_539]) ).

cnf(c_0_567,plain,
    product(a99,a76) = a124,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_556]),c_0_147]),c_0_557]),c_0_558]) ).

cnf(c_0_568,axiom,
    a88 = product(a87,a4),
    knot_88 ).

cnf(c_0_569,plain,
    product(a70,a109) = a82,
    inference(rw,[status(thm)],[c_0_219,c_0_511]) ).

cnf(c_0_570,plain,
    product(a82,a110) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_559]),c_0_334]),c_0_560]) ).

cnf(c_0_571,plain,
    product(product(a82,X1),a109) = product(a81,product(X1,a109)),
    inference(spm,[status(thm)],[c_0_145,c_0_254]) ).

cnf(c_0_572,plain,
    product(a70,a13) = a69,
    inference(spm,[status(thm)],[c_0_147,c_0_154]) ).

cnf(c_0_573,plain,
    product(product(a109,a81),a13) = product(a124,a32),
    inference(rw,[status(thm)],[c_0_561,c_0_347]) ).

cnf(c_0_574,plain,
    product(product(a100,a75),a115) = product(a124,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_498]),c_0_562]) ).

cnf(c_0_575,plain,
    product(a124,a75) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_307]) ).

cnf(c_0_576,plain,
    product(a117,product(a109,a32)) = product(a101,a117),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_340]),c_0_342]) ).

cnf(c_0_577,plain,
    product(product(a70,a110),a82) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_563]) ).

cnf(c_0_578,plain,
    product(a79,a110) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_564,c_0_565]),c_0_566]) ).

cnf(c_0_579,plain,
    product(a79,a33) = a78,
    inference(spm,[status(thm)],[c_0_147,c_0_188]) ).

cnf(c_0_580,plain,
    product(product(a112,X1),a33) = product(a113,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_182]) ).

cnf(c_0_581,plain,
    product(a121,product(a124,a68)) = a124,
    inference(rw,[status(thm)],[c_0_558,c_0_567]) ).

cnf(c_0_582,plain,
    product(product(a124,a68),a121) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_515]) ).

cnf(c_0_583,plain,
    product(a69,a32) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_584,plain,
    product(product(a87,a39),a4) = product(a88,a40),
    inference(spm,[status(thm)],[c_0_239,c_0_568]) ).

cnf(c_0_585,plain,
    product(a73,a110) = a82,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_569]),c_0_193]) ).

cnf(c_0_586,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_348,c_0_570]),c_0_207]),c_0_571]),c_0_511]),c_0_569]) ).

cnf(c_0_587,plain,
    product(a82,a70) = product(a70,a110),
    inference(rw,[status(thm)],[c_0_232,c_0_501]) ).

cnf(c_0_588,plain,
    product(product(a109,a81),a73) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_357]) ).

cnf(c_0_589,plain,
    product(product(a70,a110),a32) = product(a74,a117),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_521]),c_0_161]) ).

cnf(c_0_590,plain,
    product(product(a70,X1),a13) = product(a69,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_572]) ).

cnf(c_0_591,plain,
    product(a110,a13) = product(a124,a32),
    inference(rw,[status(thm)],[c_0_573,c_0_423]) ).

cnf(c_0_592,plain,
    product(a99,product(a123,a124)) = product(a100,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_464]),c_0_436]),c_0_496]) ).

cnf(c_0_593,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_278,c_0_574]),c_0_483]),c_0_575]),c_0_185]) ).

cnf(c_0_594,plain,
    product(a112,a32) = product(a101,a117),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_534]),c_0_576]) ).

cnf(c_0_595,plain,
    product(product(X1,a77),a114) = product(product(X1,a114),a76),
    inference(spm,[status(thm)],[c_0_145,c_0_190]) ).

cnf(c_0_596,plain,
    product(product(a114,a77),a76) = product(a124,a68),
    inference(rw,[status(thm)],[c_0_427,c_0_439]) ).

cnf(c_0_597,plain,
    product(a70,a73) = a83,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_577]),c_0_578]),c_0_570]) ).

cnf(c_0_598,plain,
    product(product(X1,a70),a13) = product(product(X1,a13),a69),
    inference(spm,[status(thm)],[c_0_145,c_0_572]) ).

cnf(c_0_599,plain,
    product(a83,a70) = a72,
    inference(rw,[status(thm)],[c_0_554,c_0_565]) ).

cnf(c_0_600,plain,
    product(product(a79,X1),a33) = product(a78,product(X1,a33)),
    inference(spm,[status(thm)],[c_0_145,c_0_579]) ).

cnf(c_0_601,plain,
    product(a111,a33) = product(a113,a78),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_203]),c_0_579]) ).

cnf(c_0_602,plain,
    product(a77,product(a114,a77)) = product(a76,a77),
    inference(spm,[status(thm)],[c_0_202,c_0_190]) ).

cnf(c_0_603,plain,
    product(a114,a77) = product(a124,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_581]),c_0_582]),c_0_421]) ).

cnf(c_0_604,plain,
    product(a77,a121) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_501]),c_0_572]),c_0_583]) ).

cnf(c_0_605,plain,
    product(a76,a68) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_170]) ).

cnf(c_0_606,plain,
    product(product(a88,a40),a39) = product(a87,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_584]),c_0_147]) ).

cnf(c_0_607,plain,
    product(product(X1,a109),a118) = product(product(X1,a118),a108),
    inference(spm,[status(thm)],[c_0_145,c_0_282]) ).

cnf(c_0_608,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_348,c_0_585]),c_0_207]),c_0_586]),c_0_587]) ).

cnf(c_0_609,plain,
    product(a110,a73) = a108,
    inference(rw,[status(thm)],[c_0_588,c_0_423]) ).

cnf(c_0_610,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_589]),c_0_472]),c_0_175]),c_0_185]),c_0_590]),c_0_591]),c_0_242]),c_0_583]) ).

cnf(c_0_611,plain,
    product(a99,product(a100,a122)) = product(a100,a115),
    inference(rw,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_612,plain,
    product(a100,a122) = 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_160,c_0_594]),c_0_453]),c_0_175]),c_0_185]),c_0_513]),c_0_147]) ).

cnf(c_0_613,plain,
    product(a99,a114) = product(a124,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_547]),c_0_421]),c_0_596]) ).

cnf(c_0_614,plain,
    product(a69,product(a75,a32)) = product(a83,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_597]),c_0_180]) ).

cnf(c_0_615,plain,
    product(product(a83,a13),a69) = product(a72,a13),
    inference(spm,[status(thm)],[c_0_598,c_0_599]) ).

cnf(c_0_616,plain,
    product(product(a78,X1),a13) = product(a77,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_418]) ).

cnf(c_0_617,plain,
    product(a78,product(a113,a78)) = product(a72,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_565]),c_0_601]) ).

cnf(c_0_618,plain,
    product(product(X1,a33),a13) = product(product(X1,a13),a32),
    inference(spm,[status(thm)],[c_0_145,c_0_435]) ).

cnf(c_0_619,plain,
    product(a77,product(a124,a121)) = product(a76,a77),
    inference(rw,[status(thm)],[c_0_602,c_0_603]) ).

cnf(c_0_620,plain,
    product(a68,a121) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_604]) ).

cnf(c_0_621,plain,
    product(a77,a68) = product(a75,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_178]),c_0_605]) ).

cnf(c_0_622,plain,
    product(product(product(a87,a5),a39),a32) = product(product(a84,a106),a39),
    inference(spm,[status(thm)],[c_0_272,c_0_259]) ).

cnf(c_0_623,plain,
    product(product(a87,a5),a39) = product(a88,a40),
    inference(spm,[status(thm)],[c_0_147,c_0_606]) ).

cnf(c_0_624,plain,
    product(a83,a108) = a71,
    inference(rw,[status(thm)],[c_0_304,c_0_549]) ).

cnf(c_0_625,plain,
    product(a108,a83) = product(a118,a71),
    inference(spm,[status(thm)],[c_0_147,c_0_375]) ).

cnf(c_0_626,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_607,c_0_608]),c_0_522]),c_0_470]),c_0_488]),c_0_523]),c_0_537]),c_0_284]),c_0_354]) ).

cnf(c_0_627,plain,
    product(a73,a108) = product(a82,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_585]),c_0_609]) ).

cnf(c_0_628,plain,
    product(product(a68,a124),a122) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_610]) ).

cnf(c_0_629,plain,
    product(a100,a115) = product(a124,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_611,c_0_612]),c_0_613]) ).

cnf(c_0_630,plain,
    product(a68,product(a124,a68)) = product(a76,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_610]),c_0_202]),c_0_170]) ).

cnf(c_0_631,plain,
    product(a69,product(a76,a32)) = product(a72,a13),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_614]),c_0_615]),c_0_179]) ).

cnf(c_0_632,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_616,c_0_617]),c_0_618]),c_0_503]),c_0_418]),c_0_603]),c_0_619]) ).

cnf(c_0_633,plain,
    product(a75,a115) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_620]),c_0_621]),c_0_150]) ).

cnf(c_0_634,plain,
    product(product(a88,a40),a32) = product(product(a84,a106),a39),
    inference(rw,[status(thm)],[c_0_622,c_0_623]) ).

cnf(c_0_635,plain,
    product(product(a84,X1),a39) = product(a83,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_277]) ).

cnf(c_0_636,plain,
    product(a83,product(a118,a71)) = product(a71,a83),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_624]),c_0_625]) ).

cnf(c_0_637,plain,
    product(a71,a83) = product(a82,a73),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_626]),c_0_627]) ).

cnf(c_0_638,axiom,
    a42 = product(a41,a2),
    knot_42 ).

cnf(c_0_639,axiom,
    a125 = product(a124,a2),
    knot_125 ).

cnf(c_0_640,plain,
    product(product(a76,X1),a114) = product(a77,product(X1,a114)),
    inference(spm,[status(thm)],[c_0_145,c_0_178]) ).

cnf(c_0_641,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_278,c_0_628]),c_0_436]),c_0_496]),c_0_629]),c_0_630]) ).

cnf(c_0_642,plain,
    product(a76,a77) = product(a68,a76),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_631]),c_0_632]),c_0_583]) ).

cnf(c_0_643,plain,
    product(a99,product(a100,a115)) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_593]),c_0_497]),c_0_436]),c_0_496]) ).

cnf(c_0_644,plain,
    product(product(a68,a115),a123) = a75,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_633]),c_0_437]) ).

cnf(c_0_645,plain,
    product(product(a88,a40),a32) = product(a83,product(a108,a83)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_634,c_0_635]),c_0_288]) ).

cnf(c_0_646,plain,
    product(a83,product(a118,a71)) = product(a82,a73),
    inference(rw,[status(thm)],[c_0_636,c_0_637]) ).

cnf(c_0_647,plain,
    product(a71,a70) = a79,
    inference(rw,[status(thm)],[c_0_398,c_0_539]) ).

cnf(c_0_648,plain,
    product(product(X1,a2),a42) = product(product(X1,a41),a2),
    inference(spm,[status(thm)],[c_0_145,c_0_638]) ).

cnf(c_0_649,plain,
    product(a125,a2) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_639]) ).

cnf(c_0_650,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_640,c_0_641]),c_0_421]),c_0_603]),c_0_619]),c_0_642]) ).

cnf(c_0_651,plain,
    product(a114,a124) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_612]),c_0_436]),c_0_496]),c_0_643]) ).

cnf(c_0_652,plain,
    product(a75,a123) = product(a68,a115),
    inference(spm,[status(thm)],[c_0_147,c_0_644]) ).

cnf(c_0_653,plain,
    product(product(a88,a40),a32) = product(a82,a73),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_645,c_0_625]),c_0_646]) ).

cnf(c_0_654,axiom,
    a41 = product(a40,a14),
    knot_41 ).

cnf(c_0_655,plain,
    product(a74,product(a124,a14)) = product(a82,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_585]),c_0_556]) ).

cnf(c_0_656,axiom,
    a92 = product(a91,a124),
    knot_92 ).

cnf(c_0_657,axiom,
    a91 = product(a90,a100),
    knot_91 ).

cnf(c_0_658,plain,
    product(a79,a109) = a73,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_647]),c_0_569]),c_0_334]) ).

cnf(c_0_659,plain,
    product(a73,a33) = product(a75,a13),
    inference(spm,[status(thm)],[c_0_147,c_0_192]) ).

cnf(c_0_660,plain,
    product(a99,a121) = a122,
    inference(rw,[status(thm)],[c_0_509,c_0_517]) ).

cnf(c_0_661,plain,
    product(product(a100,a115),a122) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_464]),c_0_308]) ).

cnf(c_0_662,plain,
    product(product(a125,a41),a2) = product(a124,a42),
    inference(spm,[status(thm)],[c_0_648,c_0_649]) ).

cnf(c_0_663,axiom,
    a2 = product(a1,a42),
    knot ).

cnf(c_0_664,plain,
    product(product(a68,a76),a124) = product(a68,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_650]),c_0_651]),c_0_652]) ).

cnf(c_0_665,plain,
    product(product(a82,a32),a74) = product(a88,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_653]),c_0_329]) ).

cnf(c_0_666,plain,
    product(product(X1,a40),a14) = product(product(X1,a14),a41),
    inference(spm,[status(thm)],[c_0_145,c_0_654]) ).

cnf(c_0_667,axiom,
    a89 = product(a88,a14),
    knot_89 ).

cnf(c_0_668,axiom,
    a90 = product(a89,a41),
    knot_90 ).

cnf(c_0_669,plain,
    product(product(a82,a13),a32) = product(a75,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_655]),c_0_160]),c_0_158]) ).

cnf(c_0_670,plain,
    product(product(a91,X1),a124) = product(a92,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_656]) ).

cnf(c_0_671,plain,
    product(a91,a100) = a90,
    inference(spm,[status(thm)],[c_0_147,c_0_657]) ).

cnf(c_0_672,plain,
    product(a78,product(a109,a33)) = product(a75,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_658]),c_0_659]) ).

cnf(c_0_673,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_242,c_0_353]),c_0_160]),c_0_175]),c_0_185]),c_0_436]),c_0_496]) ).

cnf(c_0_674,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_497,c_0_629]),c_0_202]),c_0_498]),c_0_517]),c_0_660]) ).

cnf(c_0_675,plain,
    product(product(a99,a122),a100) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_611]),c_0_661]) ).

cnf(c_0_676,plain,
    product(product(X1,a75),a123) = product(product(X1,a124),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_575]) ).

cnf(c_0_677,plain,
    product(a99,a75) = product(a115,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_518]),c_0_316]) ).

cnf(c_0_678,plain,
    product(product(a124,a42),a2) = product(a125,a41),
    inference(spm,[status(thm)],[c_0_147,c_0_662]) ).

cnf(c_0_679,plain,
    product(product(X1,a42),a2) = product(product(X1,a1),a42),
    inference(spm,[status(thm)],[c_0_145,c_0_663]) ).

cnf(c_0_680,axiom,
    a127 = product(a126,a41),
    knot_127 ).

cnf(c_0_681,axiom,
    a126 = product(a125,a65),
    knot_126 ).

cnf(c_0_682,axiom,
    a65 = product(a64,a41),
    knot_65 ).

cnf(c_0_683,plain,
    product(product(a68,a115),a124) = product(a68,a76),
    inference(spm,[status(thm)],[c_0_147,c_0_664]) ).

cnf(c_0_684,plain,
    product(a68,a115) = a90,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_665]),c_0_666]),c_0_667]),c_0_668]),c_0_160]),c_0_669]),c_0_202]),c_0_575]),c_0_652]) ).

cnf(c_0_685,plain,
    product(a90,a124) = product(a92,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_671]),c_0_482]) ).

cnf(c_0_686,plain,
    product(product(a68,a124),a75) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_610]),c_0_316]),c_0_633]) ).

cnf(c_0_687,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_616,c_0_672]),c_0_147]),c_0_618]),c_0_673]),c_0_629]) ).

cnf(c_0_688,plain,
    product(a122,product(a68,a124)) = a124,
    inference(spm,[status(thm)],[c_0_147,c_0_674]) ).

cnf(c_0_689,plain,
    product(product(a100,a115),a123) = product(a123,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_496]),c_0_481]) ).

cnf(c_0_690,plain,
    product(a123,a100) = product(a99,a122),
    inference(spm,[status(thm)],[c_0_147,c_0_675]) ).

cnf(c_0_691,plain,
    product(product(X1,a121),a68) = product(product(X1,a68),a122),
    inference(spm,[status(thm)],[c_0_145,c_0_150]) ).

cnf(c_0_692,plain,
    product(product(a115,a100),a123) = product(a100,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_677]),c_0_465]) ).

cnf(c_0_693,axiom,
    a96 = product(a95,a64),
    knot_96 ).

cnf(c_0_694,axiom,
    a95 = product(a94,a127),
    knot_95 ).

cnf(c_0_695,plain,
    product(product(a124,a1),a42) = product(a125,a41),
    inference(rw,[status(thm)],[c_0_678,c_0_679]) ).

cnf(c_0_696,plain,
    product(product(a126,X1),a41) = product(a127,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_680]) ).

cnf(c_0_697,plain,
    product(a126,a65) = a125,
    inference(spm,[status(thm)],[c_0_147,c_0_681]) ).

cnf(c_0_698,plain,
    product(a65,a41) = a64,
    inference(spm,[status(thm)],[c_0_147,c_0_682]) ).

cnf(c_0_699,axiom,
    a99 = product(a98,a92),
    knot_99 ).

cnf(c_0_700,plain,
    product(a92,a99) = product(a68,a76),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_683,c_0_684]),c_0_685]) ).

cnf(c_0_701,plain,
    product(product(a68,a122),a123) = product(a68,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_686]),c_0_147]) ).

cnf(c_0_702,plain,
    product(product(a68,a122),a75) = product(a68,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_633]),c_0_185]),c_0_610]) ).

cnf(c_0_703,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_242,c_0_687]),c_0_170]),c_0_621]),c_0_633]) ).

cnf(c_0_704,plain,
    product(a75,product(a68,a124)) = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_628]),c_0_688]),c_0_147]) ).

cnf(c_0_705,plain,
    product(a99,a122) = product(a114,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_612]),c_0_689]),c_0_690]) ).

cnf(c_0_706,plain,
    product(product(a114,X1),a68) = product(a115,product(X1,a68)),
    inference(spm,[status(thm)],[c_0_145,c_0_176]) ).

cnf(c_0_707,plain,
    product(a99,a68) = product(a124,a115),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_532]),c_0_186]),c_0_530]) ).

cnf(c_0_708,plain,
    product(product(a124,a115),a121) = product(a121,a99),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_530]),c_0_532]) ).

cnf(c_0_709,plain,
    product(product(a115,a100),a123) = a121,
    inference(rw,[status(thm)],[c_0_692,c_0_517]) ).

cnf(c_0_710,axiom,
    a97 = product(a96,a42),
    knot_97 ).

cnf(c_0_711,plain,
    product(product(a95,X1),a64) = product(a96,product(X1,a64)),
    inference(spm,[status(thm)],[c_0_145,c_0_693]) ).

cnf(c_0_712,plain,
    product(a95,a127) = a94,
    inference(spm,[status(thm)],[c_0_147,c_0_694]) ).

cnf(c_0_713,plain,
    product(product(a125,a41),a42) = product(a124,a1),
    inference(spm,[status(thm)],[c_0_147,c_0_695]) ).

cnf(c_0_714,plain,
    product(a125,a41) = product(a127,a64),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_697]),c_0_698]) ).

cnf(c_0_715,plain,
    product(a99,a92) = a98,
    inference(spm,[status(thm)],[c_0_147,c_0_699]) ).

cnf(c_0_716,plain,
    product(product(a68,a76),a99) = a92,
    inference(spm,[status(thm)],[c_0_147,c_0_700]) ).

cnf(c_0_717,plain,
    product(product(a68,a75),a122) = 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_278,c_0_701]),c_0_496]),c_0_629]),c_0_630]),c_0_641]) ).

cnf(c_0_718,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_480,c_0_701]),c_0_437]),c_0_644]),c_0_610]) ).

cnf(c_0_719,plain,
    product(product(a68,a124),a123) = product(a76,a75),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_702]),c_0_703]) ).

cnf(c_0_720,plain,
    product(a76,product(a124,a68)) = product(a68,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_704]),c_0_506]) ).

cnf(c_0_721,plain,
    product(a77,a99) = product(a68,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_604]),c_0_547]) ).

cnf(c_0_722,plain,
    product(product(a77,X1),a114) = product(a76,product(X1,a114)),
    inference(spm,[status(thm)],[c_0_145,c_0_190]) ).

cnf(c_0_723,plain,
    product(a121,a99) = product(a115,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_705]),c_0_706]),c_0_187]),c_0_707]),c_0_708]) ).

cnf(c_0_724,plain,
    product(a115,product(a99,a122)) = product(a121,a100),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_709]),c_0_690]) ).

cnf(c_0_725,plain,
    product(a123,a100) = product(a114,a115),
    inference(rw,[status(thm)],[c_0_690,c_0_705]) ).

cnf(c_0_726,plain,
    product(product(a121,a77),a114) = product(a124,a68),
    inference(spm,[status(thm)],[c_0_147,c_0_452]) ).

cnf(c_0_727,plain,
    product(product(a96,X1),a42) = product(a97,product(X1,a42)),
    inference(spm,[status(thm)],[c_0_145,c_0_710]) ).

cnf(c_0_728,plain,
    product(a96,product(a127,a64)) = product(a94,a64),
    inference(spm,[status(thm)],[c_0_711,c_0_712]) ).

cnf(c_0_729,plain,
    product(product(a127,a64),a42) = product(a124,a1),
    inference(rw,[status(thm)],[c_0_713,c_0_714]) ).

cnf(c_0_730,plain,
    product(product(a68,a76),a92) = product(a92,a98),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_700]),c_0_715]) ).

cnf(c_0_731,plain,
    product(a92,a76) = product(a68,a124),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_716]),c_0_567]) ).

cnf(c_0_732,plain,
    product(a68,product(a68,a124)) = a75,
    inference(spm,[status(thm)],[c_0_147,c_0_704]) ).

cnf(c_0_733,plain,
    product(product(a75,a124),a115) = product(a76,a75),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_717]),c_0_718]),c_0_719]) ).

cnf(c_0_734,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_640,c_0_720]),c_0_452]),c_0_547]),c_0_721]) ).

cnf(c_0_735,axiom,
    a68 = product(a67,a98),
    knot_68 ).

cnf(c_0_736,plain,
    product(product(a124,a68),a76) = product(a123,a68),
    inference(spm,[status(thm)],[c_0_184,c_0_575]) ).

cnf(c_0_737,plain,
    product(a76,product(a124,a121)) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_604]),c_0_421]),c_0_603]) ).

cnf(c_0_738,plain,
    product(product(a124,a115),a121) = product(a115,a114),
    inference(rw,[status(thm)],[c_0_708,c_0_723]) ).

cnf(c_0_739,plain,
    product(a115,product(a114,a115)) = product(a121,a100),
    inference(rw,[status(thm)],[c_0_724,c_0_705]) ).

cnf(c_0_740,plain,
    product(a121,a115) = product(a124,a123),
    inference(rw,[status(thm)],[c_0_574,c_0_517]) ).

cnf(c_0_741,plain,
    product(product(a114,a115),a75) = product(a124,a121),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_725]),c_0_517]) ).

cnf(c_0_742,plain,
    product(product(a124,a68),a122) = a123,
    inference(rw,[status(thm)],[c_0_661,c_0_629]) ).

cnf(c_0_743,plain,
    product(product(a124,a68),a77) = product(a121,product(a114,a77)),
    inference(spm,[status(thm)],[c_0_278,c_0_726]) ).

cnf(c_0_744,plain,
    product(product(a94,a64),a42) = product(a97,product(a124,a1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_728]),c_0_729]) ).

cnf(c_0_745,axiom,
    a67 = product(a66,a92),
    knot_67 ).

cnf(c_0_746,plain,
    product(product(a92,a98),a76) = a75,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_730]),c_0_731]),c_0_732]) ).

cnf(c_0_747,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_531,c_0_733]),c_0_184]),c_0_605]),c_0_506]),c_0_720]),c_0_734]) ).

cnf(c_0_748,plain,
    product(a68,a98) = a67,
    inference(spm,[status(thm)],[c_0_147,c_0_735]) ).

cnf(c_0_749,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_202,c_0_720]),c_0_736]),c_0_439]),c_0_603]),c_0_737]) ).

cnf(c_0_750,plain,
    product(product(a123,X1),a115) = product(a122,product(X1,a115)),
    inference(spm,[status(thm)],[c_0_145,c_0_315]) ).

cnf(c_0_751,plain,
    product(a124,product(a124,a123)) = product(a121,a100),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_738]),c_0_202]),c_0_739]),c_0_740]) ).

cnf(c_0_752,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_184,c_0_741]),c_0_691]),c_0_742]),c_0_706]),c_0_187]) ).

cnf(c_0_753,plain,
    product(a123,a124) = a114,
    inference(rw,[status(thm)],[c_0_593,c_0_612]) ).

cnf(c_0_754,plain,
    product(a123,product(a124,a123)) = product(a99,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_532]),c_0_740]) ).

cnf(c_0_755,plain,
    product(a121,product(a114,a77)) = product(a114,product(a76,a77)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_596]),c_0_743]) ).

cnf(c_0_756,plain,
    product(product(a97,product(a124,a1)),a42) = product(a94,a64),
    inference(spm,[status(thm)],[c_0_147,c_0_744]) ).

cnf(c_0_757,axiom,
    a98 = product(a97,a1),
    knot_98 ).

cnf(c_0_758,axiom,
    a94 = product(a93,a41),
    knot_94 ).

cnf(c_0_759,axiom,
    a66 = product(a65,a2),
    knot_66 ).

cnf(c_0_760,axiom,
    a93 = product(a92,a2),
    knot_93 ).

cnf(c_0_761,plain,
    product(a67,a92) = a66,
    inference(spm,[status(thm)],[c_0_147,c_0_745]) ).

cnf(c_0_762,plain,
    product(a92,a98) = product(a68,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_746]),c_0_747]) ).

cnf(c_0_763,plain,
    product(product(a68,X1),a98) = product(a67,product(X1,a98)),
    inference(spm,[status(thm)],[c_0_145,c_0_748]) ).

cnf(c_0_764,plain,
    product(a77,product(a68,a114)) = product(a75,a114),
    inference(spm,[status(thm)],[c_0_640,c_0_605]) ).

cnf(c_0_765,plain,
    product(a68,a114) = a92,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_731]),c_0_749]) ).

cnf(c_0_766,plain,
    product(a76,a99) = product(a75,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_687]),c_0_452]),c_0_547]) ).

cnf(c_0_767,plain,
    product(product(a114,a77),a115) = product(a122,product(a68,a115)),
    inference(spm,[status(thm)],[c_0_750,c_0_439]) ).

cnf(c_0_768,plain,
    product(product(a121,a100),a123) = product(a124,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_751]),c_0_202]),c_0_593]),c_0_612]) ).

cnf(c_0_769,plain,
    product(product(a124,X1),a75) = product(a123,product(X1,a75)),
    inference(spm,[status(thm)],[c_0_145,c_0_575]) ).

cnf(c_0_770,plain,
    product(a123,a114) = product(a115,a77),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_752]),c_0_147]) ).

cnf(c_0_771,plain,
    product(product(a100,a122),a75) = product(a124,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_593]),c_0_575]) ).

cnf(c_0_772,plain,
    product(product(a99,X1),a124) = product(a100,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_465]) ).

cnf(c_0_773,plain,
    product(a99,a115) = product(a114,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_753]),c_0_754]) ).

cnf(c_0_774,plain,
    product(a114,product(a76,a77)) = product(a100,a68),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_481]),c_0_439]),c_0_755]) ).

cnf(c_0_775,plain,
    product(product(a94,a64),a2) = product(product(a98,a124),a42),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_756]),c_0_242]),c_0_757]) ).

cnf(c_0_776,plain,
    product(product(X1,a64),a41) = product(product(X1,a41),a65),
    inference(spm,[status(thm)],[c_0_145,c_0_682]) ).

cnf(c_0_777,plain,
    product(a94,a41) = a93,
    inference(spm,[status(thm)],[c_0_147,c_0_758]) ).

cnf(c_0_778,plain,
    product(product(X1,a65),a2) = product(product(X1,a2),a66),
    inference(spm,[status(thm)],[c_0_145,c_0_759]) ).

cnf(c_0_779,plain,
    product(a93,a2) = a92,
    inference(spm,[status(thm)],[c_0_147,c_0_760]) ).

cnf(c_0_780,plain,
    product(product(a67,X1),a92) = product(a66,product(X1,a92)),
    inference(spm,[status(thm)],[c_0_145,c_0_761]) ).

cnf(c_0_781,plain,
    product(a67,product(a77,a98)) = a92,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_762]),c_0_763]) ).

cnf(c_0_782,plain,
    product(product(X1,a98),a92) = product(product(X1,a92),a99),
    inference(spm,[status(thm)],[c_0_145,c_0_699]) ).

cnf(c_0_783,plain,
    product(a77,a92) = product(a75,a114),
    inference(rw,[status(thm)],[c_0_764,c_0_765]) ).

cnf(c_0_784,plain,
    product(product(a75,a114),a99) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_766]) ).

cnf(c_0_785,plain,
    product(product(a76,a75),a124) = product(a68,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_719]),c_0_593]),c_0_612]) ).

cnf(c_0_786,plain,
    product(a97,a42) = a96,
    inference(spm,[status(thm)],[c_0_147,c_0_710]) ).

cnf(c_0_787,plain,
    product(a121,product(a68,a114)) = product(a123,a114),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_767]),c_0_504]),c_0_202]),c_0_187]),c_0_706]),c_0_621]),c_0_431]) ).

cnf(c_0_788,plain,
    product(product(a124,a114),a123) = product(a121,a100),
    inference(spm,[status(thm)],[c_0_147,c_0_768]) ).

cnf(c_0_789,plain,
    product(product(a121,a100),a75) = product(a115,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_769,c_0_751]),c_0_483]),c_0_575]),c_0_593]),c_0_612]),c_0_770]) ).

cnf(c_0_790,plain,
    product(a114,a75) = product(a124,a123),
    inference(rw,[status(thm)],[c_0_771,c_0_612]) ).

cnf(c_0_791,plain,
    product(product(a114,a123),a124) = product(a100,a121),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_772,c_0_773]),c_0_498]),c_0_517]) ).

cnf(c_0_792,plain,
    product(a122,a114) = product(a114,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_508]),c_0_452]),c_0_547]) ).

cnf(c_0_793,plain,
    product(product(a100,a68),a76) = a122,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_517]),c_0_150]) ).

cnf(c_0_794,plain,
    product(a100,a68) = product(a124,a114),
    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_567]),c_0_613]),c_0_743]),c_0_755]),c_0_774]) ).

cnf(c_0_795,plain,
    product(product(a121,a77),a115) = product(a124,product(a68,a115)),
    inference(spm,[status(thm)],[c_0_278,c_0_478]) ).

cnf(c_0_796,plain,
    product(a98,a124) = product(a92,a66),
    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_648,c_0_775]),c_0_147]),c_0_776]),c_0_777]),c_0_778]),c_0_779]) ).

cnf(c_0_797,plain,
    product(a92,a124) = a91,
    inference(spm,[status(thm)],[c_0_147,c_0_656]) ).

cnf(c_0_798,plain,
    product(a66,a76) = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_781]),c_0_193]),c_0_782]),c_0_783]),c_0_784]) ).

cnf(c_0_799,plain,
    product(product(a68,a114),a124) = product(a76,a75),
    inference(spm,[status(thm)],[c_0_147,c_0_785]) ).

cnf(c_0_800,axiom,
    a3 = product(a2,a41),
    knot_03 ).

cnf(c_0_801,plain,
    product(a98,a42) = product(a96,a2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_786]),c_0_757]) ).

cnf(c_0_802,plain,
    product(a114,product(a68,a114)) = product(a115,a114),
    inference(spm,[status(thm)],[c_0_202,c_0_176]) ).

cnf(c_0_803,plain,
    product(a121,product(a68,a114)) = product(a115,a77),
    inference(rw,[status(thm)],[c_0_787,c_0_770]) ).

cnf(c_0_804,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_483,c_0_788]),c_0_789]),c_0_769]),c_0_790]),c_0_754]),c_0_773]),c_0_791]) ).

cnf(c_0_805,plain,
    product(product(a124,a123),a68) = product(a114,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_740]),c_0_150]),c_0_792]) ).

cnf(c_0_806,plain,
    product(product(a124,a114),a76) = a122,
    inference(rw,[status(thm)],[c_0_793,c_0_794]) ).

cnf(c_0_807,plain,
    product(a99,product(a75,a124)) = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_464]),c_0_316]),c_0_497]) ).

cnf(c_0_808,plain,
    product(a124,product(a68,a115)) = product(a99,a115),
    inference(rw,[status(thm)],[c_0_795,c_0_547]) ).

cnf(c_0_809,plain,
    product(product(a92,a66),a124) = a98,
    inference(spm,[status(thm)],[c_0_147,c_0_796]) ).

cnf(c_0_810,plain,
    product(product(a92,X1),a124) = product(a91,product(X1,a124)),
    inference(spm,[status(thm)],[c_0_145,c_0_797]) ).

cnf(c_0_811,plain,
    product(a68,a124) = a66,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_798]),c_0_731]) ).

cnf(c_0_812,plain,
    product(a76,a75) = a91,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_799,c_0_765]),c_0_797]) ).

cnf(c_0_813,plain,
    product(product(X1,a2),a41) = product(product(X1,a41),a3),
    inference(spm,[status(thm)],[c_0_145,c_0_800]) ).

cnf(c_0_814,plain,
    product(product(a96,a41),a2) = a98,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_801]),c_0_648]) ).

cnf(c_0_815,axiom,
    a4 = product(a3,a14),
    knot_04 ).

cnf(c_0_816,plain,
    product(product(a92,a41),a2) = product(a93,a42),
    inference(spm,[status(thm)],[c_0_648,c_0_760]) ).

cnf(c_0_817,plain,
    product(product(a115,a114),a99) = a121,
    inference(spm,[status(thm)],[c_0_147,c_0_723]) ).

cnf(c_0_818,plain,
    product(a115,a114) = product(a114,a92),
    inference(rw,[status(thm)],[c_0_802,c_0_765]) ).

cnf(c_0_819,plain,
    product(a121,product(a68,a114)) = product(a100,a121),
    inference(rw,[status(thm)],[c_0_803,c_0_804]) ).

cnf(c_0_820,plain,
    product(a115,a76) = product(a114,a99),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_790]),c_0_805]),c_0_176]) ).

cnf(c_0_821,plain,
    product(a114,a99) = product(a124,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_806]),c_0_792]),c_0_147]) ).

cnf(c_0_822,plain,
    product(product(X1,a124),a91) = product(product(X1,a92),a124),
    inference(spm,[status(thm)],[c_0_145,c_0_797]) ).

cnf(c_0_823,plain,
    product(a121,a124) = a115,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_517]),c_0_807]) ).

cnf(c_0_824,plain,
    product(a124,product(a68,a115)) = product(a114,a123),
    inference(rw,[status(thm)],[c_0_808,c_0_773]) ).

cnf(c_0_825,plain,
    product(a91,product(a66,a124)) = a98,
    inference(rw,[status(thm)],[c_0_809,c_0_810]) ).

cnf(c_0_826,plain,
    product(a66,a124) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_811]) ).

cnf(c_0_827,plain,
    product(a91,a68) = product(a68,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_812]),c_0_605]),c_0_747]) ).

cnf(c_0_828,plain,
    product(a98,a41) = product(a96,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_814]),c_0_147]) ).

cnf(c_0_829,plain,
    product(product(a40,X1),a14) = product(a41,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_654]) ).

cnf(c_0_830,plain,
    product(a40,a4) = a39,
    inference(spm,[status(thm)],[c_0_147,c_0_226]) ).

cnf(c_0_831,plain,
    product(a4,a14) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_815]) ).

cnf(c_0_832,plain,
    product(product(a93,a42),a41) = product(a92,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_816]),c_0_147]) ).

cnf(c_0_833,plain,
    product(product(a93,X1),a41) = product(a94,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_758]) ).

cnf(c_0_834,plain,
    product(a42,a41) = product(a41,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_638]),c_0_193]) ).

cnf(c_0_835,plain,
    product(product(X1,a99),a92) = product(product(X1,a92),a98),
    inference(spm,[status(thm)],[c_0_145,c_0_715]) ).

cnf(c_0_836,plain,
    product(product(a114,a92),a99) = a121,
    inference(rw,[status(thm)],[c_0_817,c_0_818]) ).

cnf(c_0_837,plain,
    product(a121,a92) = product(a100,a121),
    inference(rw,[status(thm)],[c_0_819,c_0_765]) ).

cnf(c_0_838,plain,
    product(a115,a76) = product(a124,a77),
    inference(rw,[status(thm)],[c_0_820,c_0_821]) ).

cnf(c_0_839,plain,
    product(product(a121,a92),a124) = product(a115,a91),
    inference(spm,[status(thm)],[c_0_822,c_0_823]) ).

cnf(c_0_840,plain,
    product(a114,a123) = product(a124,a90),
    inference(rw,[status(thm)],[c_0_824,c_0_684]) ).

cnf(c_0_841,plain,
    product(a98,product(a66,a124)) = a91,
    inference(spm,[status(thm)],[c_0_147,c_0_825]) ).

cnf(c_0_842,plain,
    product(a68,a77) = a98,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_825,c_0_826]),c_0_827]) ).

cnf(c_0_843,plain,
    product(product(a66,X1),a92) = product(a67,product(X1,a92)),
    inference(spm,[status(thm)],[c_0_145,c_0_745]) ).

cnf(c_0_844,plain,
    product(a66,a2) = a65,
    inference(spm,[status(thm)],[c_0_147,c_0_759]) ).

cnf(c_0_845,plain,
    product(product(a96,a3),a41) = a98,
    inference(spm,[status(thm)],[c_0_147,c_0_828]) ).

cnf(c_0_846,plain,
    product(a41,a3) = product(a39,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_829,c_0_830]),c_0_831]) ).

cnf(c_0_847,plain,
    product(a94,product(a41,a3)) = product(a92,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_832,c_0_833]),c_0_834]) ).

cnf(c_0_848,plain,
    product(product(a100,a121),a77) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_804]) ).

cnf(c_0_849,plain,
    product(a100,a121) = product(a114,a98),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_836]),c_0_837]),c_0_147]) ).

cnf(c_0_850,plain,
    product(product(a115,a114),a77) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_838]),c_0_595]),c_0_806]) ).

cnf(c_0_851,plain,
    product(a115,a91) = product(a124,a90),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_839,c_0_837]),c_0_497]),c_0_823]),c_0_773]),c_0_840]) ).

cnf(c_0_852,plain,
    product(a98,a68) = a91,
    inference(rw,[status(thm)],[c_0_841,c_0_826]) ).

cnf(c_0_853,plain,
    a98 = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_842]),c_0_193]),c_0_781]) ).

cnf(c_0_854,plain,
    product(a92,a68) = a90,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_765]),c_0_176]),c_0_684]) ).

cnf(c_0_855,plain,
    product(product(a67,X1),a98) = product(a68,product(X1,a98)),
    inference(spm,[status(thm)],[c_0_145,c_0_735]) ).

cnf(c_0_856,plain,
    product(a67,product(a2,a92)) = product(a65,a92),
    inference(spm,[status(thm)],[c_0_843,c_0_844]) ).

cnf(c_0_857,plain,
    product(product(a100,a121),a114) = a123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_804]),c_0_752]) ).

cnf(c_0_858,plain,
    product(a96,product(a39,a14)) = product(a98,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_845]),c_0_846]) ).

cnf(c_0_859,plain,
    product(a94,product(a39,a14)) = product(a92,a3),
    inference(rw,[status(thm)],[c_0_847,c_0_846]) ).

cnf(c_0_860,plain,
    product(product(X1,a124),a2) = product(product(X1,a2),a125),
    inference(spm,[status(thm)],[c_0_145,c_0_639]) ).

cnf(c_0_861,plain,
    product(product(X1,a66),a2) = product(product(X1,a2),a65),
    inference(spm,[status(thm)],[c_0_145,c_0_844]) ).

cnf(c_0_862,plain,
    product(a124,a66) = a122,
    inference(rw,[status(thm)],[c_0_674,c_0_811]) ).

cnf(c_0_863,plain,
    product(product(a114,a98),a77) = a115,
    inference(rw,[status(thm)],[c_0_848,c_0_849]) ).

cnf(c_0_864,plain,
    product(product(a114,a92),a77) = a122,
    inference(rw,[status(thm)],[c_0_850,c_0_818]) ).

cnf(c_0_865,plain,
    product(product(a124,a90),a91) = a115,
    inference(spm,[status(thm)],[c_0_147,c_0_851]) ).

cnf(c_0_866,plain,
    a90 = a91,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_852,c_0_853]),c_0_854]) ).

cnf(c_0_867,plain,
    a99 = a92,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_699,c_0_853]),c_0_193]) ).

cnf(c_0_868,plain,
    a66 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_735,c_0_853]),c_0_761]) ).

cnf(c_0_869,plain,
    product(a68,product(product(a2,a92),a98)) = product(product(a65,a92),a98),
    inference(spm,[status(thm)],[c_0_855,c_0_856]) ).

cnf(c_0_870,plain,
    product(a114,product(a98,a114)) = a123,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_857,c_0_849]),c_0_202]) ).

cnf(c_0_871,plain,
    product(a92,a114) = a68,
    inference(spm,[status(thm)],[c_0_147,c_0_765]) ).

cnf(c_0_872,plain,
    product(product(a98,a3),product(a39,a14)) = a96,
    inference(spm,[status(thm)],[c_0_147,c_0_858]) ).

cnf(c_0_873,plain,
    product(product(a92,a3),product(a39,a14)) = a94,
    inference(spm,[status(thm)],[c_0_147,c_0_859]) ).

cnf(c_0_874,plain,
    product(product(X1,a125),a65) = product(product(X1,a65),a126),
    inference(spm,[status(thm)],[c_0_145,c_0_681]) ).

cnf(c_0_875,plain,
    product(a93,a125) = product(a91,a2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_860,c_0_797]),c_0_760]) ).

cnf(c_0_876,plain,
    product(a122,a2) = a126,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_861,c_0_862]),c_0_639]),c_0_681]) ).

cnf(c_0_877,plain,
    a122 = a115,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_863,c_0_853]),c_0_864]) ).

cnf(c_0_878,plain,
    a115 = a124,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_866]),c_0_147]) ).

cnf(c_0_879,plain,
    a124 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_567,c_0_867]),c_0_731]),c_0_811]),c_0_868]) ).

cnf(c_0_880,plain,
    product(a68,a2) = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_869,c_0_853]),c_0_147]),c_0_853]),c_0_147]) ).

cnf(c_0_881,plain,
    a123 = a115,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_870,c_0_853]),c_0_871]),c_0_176]) ).

cnf(c_0_882,plain,
    a94 = a96,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_853]),c_0_873]) ).

cnf(c_0_883,plain,
    product(product(a93,a65),a126) = product(product(a91,a2),a65),
    inference(spm,[status(thm)],[c_0_874,c_0_875]) ).

cnf(c_0_884,plain,
    a126 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_876,c_0_877]),c_0_878]),c_0_879]),c_0_880]) ).

cnf(c_0_885,plain,
    a91 = a100,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_867]),c_0_797]) ).

cnf(c_0_886,plain,
    a100 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_881]),c_0_308]),c_0_881]),c_0_878]),c_0_879]) ).

cnf(c_0_887,axiom,
    a130 = product(a129,a1),
    knot_130 ).

cnf(c_0_888,axiom,
    a129 = product(a128,a62),
    knot_129 ).

cnf(c_0_889,axiom,
    a62 = product(a61,a1),
    knot_62 ).

cnf(c_0_890,axiom,
    a63 = product(a62,a96),
    knot_63 ).

cnf(c_0_891,plain,
    product(a93,a41) = a96,
    inference(rw,[status(thm)],[c_0_758,c_0_882]) ).

cnf(c_0_892,plain,
    a93 = a65,
    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_883,c_0_884]),c_0_147]),c_0_885]),c_0_886]),c_0_880]),c_0_193]) ).

cnf(c_0_893,plain,
    a64 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_680,c_0_884]),c_0_698]) ).

cnf(c_0_894,plain,
    product(product(a129,X1),a1) = product(a130,product(X1,a1)),
    inference(spm,[status(thm)],[c_0_145,c_0_887]) ).

cnf(c_0_895,plain,
    product(a129,a62) = a128,
    inference(spm,[status(thm)],[c_0_147,c_0_888]) ).

cnf(c_0_896,plain,
    product(a62,a1) = a61,
    inference(spm,[status(thm)],[c_0_147,c_0_889]) ).

cnf(c_0_897,plain,
    product(a63,a96) = a62,
    inference(spm,[status(thm)],[c_0_147,c_0_890]) ).

cnf(c_0_898,plain,
    a96 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_891,c_0_892]),c_0_698]),c_0_893]) ).

cnf(c_0_899,axiom,
    a64 = product(a63,a127),
    knot_64 ).

cnf(c_0_900,plain,
    product(a130,a61) = product(a128,a1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_894,c_0_895]),c_0_896]) ).

cnf(c_0_901,axiom,
    a128 = product(a127,a96),
    knot_128 ).

cnf(c_0_902,plain,
    a127 = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_897,c_0_898]),c_0_899]),c_0_893]) ).

cnf(c_0_903,axiom,
    a61 = product(a60,a13),
    knot_61 ).

cnf(c_0_904,plain,
    product(product(a128,a1),a61) = a130,
    inference(spm,[status(thm)],[c_0_147,c_0_900]) ).

cnf(c_0_905,plain,
    a128 = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_901,c_0_898]),c_0_193]),c_0_902]) ).

cnf(c_0_906,axiom,
    a60 = product(a59,a131),
    knot_60 ).

cnf(c_0_907,plain,
    product(a61,a13) = a60,
    inference(spm,[status(thm)],[c_0_147,c_0_903]) ).

cnf(c_0_908,plain,
    a61 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_904,c_0_905]),c_0_896]),c_0_193]) ).

cnf(c_0_909,axiom,
    a131 = product(a130,a13),
    knot_131 ).

cnf(c_0_910,axiom,
    a59 = product(a58,a138),
    knot_59 ).

cnf(c_0_911,plain,
    product(a60,a131) = a59,
    inference(spm,[status(thm)],[c_0_147,c_0_906]) ).

cnf(c_0_912,plain,
    a60 = a131,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_907,c_0_908]),c_0_909]) ).

cnf(c_0_913,plain,
    product(a59,a138) = a58,
    inference(spm,[status(thm)],[c_0_147,c_0_910]) ).

cnf(c_0_914,plain,
    a59 = a131,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_911,c_0_912]),c_0_193]) ).

cnf(c_0_915,axiom,
    a132 = product(a131,a138),
    knot_132 ).

cnf(c_0_916,axiom,
    a135 = product(a134,a37),
    knot_135 ).

cnf(c_0_917,axiom,
    a56 = product(a55,a37),
    knot_56 ).

cnf(c_0_918,axiom,
    a55 = product(a54,a135),
    knot_55 ).

cnf(c_0_919,axiom,
    a133 = product(a132,a58),
    knot_133 ).

cnf(c_0_920,plain,
    a132 = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_913,c_0_914]),c_0_915]) ).

cnf(c_0_921,axiom,
    a58 = product(a57,a26),
    knot_58 ).

cnf(c_0_922,plain,
    product(product(X1,a134),a37) = product(product(X1,a37),a135),
    inference(spm,[status(thm)],[c_0_145,c_0_916]) ).

cnf(c_0_923,axiom,
    a57 = product(a56,a134),
    knot_57 ).

cnf(c_0_924,plain,
    product(a56,a37) = a55,
    inference(spm,[status(thm)],[c_0_147,c_0_917]) ).

cnf(c_0_925,plain,
    product(a55,a135) = a54,
    inference(spm,[status(thm)],[c_0_147,c_0_918]) ).

cnf(c_0_926,axiom,
    a134 = product(a133,a26),
    knot_134 ).

cnf(c_0_927,plain,
    a133 = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_919,c_0_920]),c_0_193]) ).

cnf(c_0_928,plain,
    product(a58,a26) = a57,
    inference(spm,[status(thm)],[c_0_147,c_0_921]) ).

cnf(c_0_929,axiom,
    a54 = product(a53,a29),
    knot_54 ).

cnf(c_0_930,plain,
    product(a57,a37) = a54,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_923]),c_0_924]),c_0_925]) ).

cnf(c_0_931,plain,
    a57 = a134,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_926,c_0_927]),c_0_928]) ).

cnf(c_0_932,axiom,
    a53 = product(a52,a136),
    knot_53 ).

cnf(c_0_933,plain,
    product(a54,a29) = a53,
    inference(spm,[status(thm)],[c_0_147,c_0_929]) ).

cnf(c_0_934,plain,
    a54 = a135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_930,c_0_931]),c_0_916]) ).

cnf(c_0_935,axiom,
    a136 = product(a135,a29),
    knot_136 ).

cnf(c_0_936,axiom,
    a51 = product(a50,a59),
    knot_51 ).

cnf(c_0_937,axiom,
    a50 = product(a49,a131),
    knot_50 ).

cnf(c_0_938,axiom,
    a52 = product(a51,a39),
    knot_52 ).

cnf(c_0_939,plain,
    product(a53,a136) = a52,
    inference(spm,[status(thm)],[c_0_147,c_0_932]) ).

cnf(c_0_940,plain,
    a53 = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_933,c_0_934]),c_0_935]) ).

cnf(c_0_941,plain,
    product(product(X1,a59),a131) = product(product(X1,a131),a60),
    inference(spm,[status(thm)],[c_0_145,c_0_906]) ).

cnf(c_0_942,plain,
    product(a51,a59) = a50,
    inference(spm,[status(thm)],[c_0_147,c_0_936]) ).

cnf(c_0_943,plain,
    product(a50,a131) = a49,
    inference(spm,[status(thm)],[c_0_147,c_0_937]) ).

cnf(c_0_944,plain,
    product(a52,a39) = a51,
    inference(spm,[status(thm)],[c_0_147,c_0_938]) ).

cnf(c_0_945,plain,
    a52 = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_939,c_0_940]),c_0_193]) ).

cnf(c_0_946,axiom,
    a137 = product(a136,a39),
    knot_137 ).

cnf(c_0_947,axiom,
    a49 = product(a48,a138),
    knot_49 ).

cnf(c_0_948,plain,
    product(product(a51,a131),a60) = a49,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_941,c_0_942]),c_0_943]) ).

cnf(c_0_949,axiom,
    a138 = product(a137,a51),
    knot_138 ).

cnf(c_0_950,plain,
    a137 = a51,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_944,c_0_945]),c_0_946]) ).

cnf(c_0_951,axiom,
    a48 = product(a47,a20),
    knot_48 ).

cnf(c_0_952,plain,
    product(a49,a138) = a48,
    inference(spm,[status(thm)],[c_0_147,c_0_947]) ).

cnf(c_0_953,plain,
    a49 = a51,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_948,c_0_912]),c_0_147]) ).

cnf(c_0_954,plain,
    a51 = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_949,c_0_950]),c_0_193]) ).

cnf(c_0_955,plain,
    product(a48,a20) = a47,
    inference(spm,[status(thm)],[c_0_147,c_0_951]) ).

cnf(c_0_956,plain,
    a48 = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_952,c_0_953]),c_0_954]),c_0_193]) ).

cnf(c_0_957,axiom,
    a139 = product(a138,a20),
    knot_139 ).

cnf(c_0_958,axiom,
    a43 = product(a42,a62),
    knot_43 ).

cnf(c_0_959,axiom,
    a140 = product(a139,a47),
    knot_140 ).

cnf(c_0_960,plain,
    a139 = a47,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_955,c_0_956]),c_0_957]) ).

cnf(c_0_961,axiom,
    a47 = product(a46,a11),
    knot_47 ).

cnf(c_0_962,axiom,
    a45 = product(a44,a23),
    knot_45 ).

cnf(c_0_963,axiom,
    a44 = product(a43,a128),
    knot_44 ).

cnf(c_0_964,plain,
    product(a43,a62) = a42,
    inference(spm,[status(thm)],[c_0_147,c_0_958]) ).

cnf(c_0_965,axiom,
    a46 = product(a45,a141),
    knot_46 ).

cnf(c_0_966,axiom,
    a141 = product(a140,a11),
    knot_141 ).

cnf(c_0_967,plain,
    a140 = a47,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_959,c_0_960]),c_0_193]) ).

cnf(c_0_968,plain,
    product(a47,a11) = a46,
    inference(spm,[status(thm)],[c_0_147,c_0_961]) ).

cnf(c_0_969,plain,
    product(a45,a23) = a44,
    inference(spm,[status(thm)],[c_0_147,c_0_962]) ).

cnf(c_0_970,plain,
    a44 = a42,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_963,c_0_905]),c_0_964]) ).

cnf(c_0_971,plain,
    product(a46,a141) = a45,
    inference(spm,[status(thm)],[c_0_147,c_0_965]) ).

cnf(c_0_972,plain,
    a46 = a141,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_966,c_0_967]),c_0_968]) ).

cnf(c_0_973,plain,
    product(a2,a42) = a1,
    inference(spm,[status(thm)],[c_0_147,c_0_663]) ).

cnf(c_0_974,plain,
    product(a45,a23) = a42,
    inference(rw,[status(thm)],[c_0_969,c_0_970]) ).

cnf(c_0_975,plain,
    a45 = a141,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_971,c_0_972]),c_0_193]) ).

cnf(c_0_976,axiom,
    a1 = product(a141,a23),
    knot_142 ).

cnf(c_0_977,plain,
    product(a3,a2) = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_193]),c_0_973]),c_0_800]) ).

cnf(c_0_978,axiom,
    a23 = product(a22,a45),
    knot_23 ).

cnf(c_0_979,axiom,
    a22 = product(a21,a141),
    knot_22 ).

cnf(c_0_980,plain,
    product(a5,a4) = product(a4,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_193]),c_0_238]) ).

cnf(c_0_981,plain,
    product(product(a3,X1),a14) = product(a4,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_815]) ).

cnf(c_0_982,plain,
    product(a3,a41) = a2,
    inference(spm,[status(thm)],[c_0_147,c_0_800]) ).

cnf(c_0_983,plain,
    product(a41,a14) = a40,
    inference(spm,[status(thm)],[c_0_147,c_0_654]) ).

cnf(c_0_984,plain,
    product(a42,a2) = a41,
    inference(spm,[status(thm)],[c_0_147,c_0_638]) ).

cnf(c_0_985,plain,
    a42 = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_974,c_0_975]),c_0_976]) ).

cnf(c_0_986,plain,
    product(a1,a2) = a3,
    inference(spm,[status(thm)],[c_0_147,c_0_977]) ).

cnf(c_0_987,plain,
    product(product(a41,a3),a41) = a42,
    inference(spm,[status(thm)],[c_0_147,c_0_834]) ).

cnf(c_0_988,plain,
    product(product(X1,a45),a141) = product(product(X1,a141),a46),
    inference(spm,[status(thm)],[c_0_145,c_0_965]) ).

cnf(c_0_989,plain,
    product(a23,a45) = a22,
    inference(spm,[status(thm)],[c_0_147,c_0_978]) ).

cnf(c_0_990,plain,
    product(a22,a141) = a21,
    inference(spm,[status(thm)],[c_0_147,c_0_979]) ).

cnf(c_0_991,axiom,
    a6 = product(a5,a136),
    knot_06 ).

cnf(c_0_992,plain,
    product(product(a4,a40),a4) = a5,
    inference(spm,[status(thm)],[c_0_147,c_0_980]) ).

cnf(c_0_993,plain,
    product(a4,a40) = product(a2,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_981,c_0_982]),c_0_983]) ).

cnf(c_0_994,plain,
    product(product(a39,a14),a3) = a41,
    inference(spm,[status(thm)],[c_0_147,c_0_846]) ).

cnf(c_0_995,plain,
    a3 = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_984,c_0_985]),c_0_986]) ).

cnf(c_0_996,plain,
    product(product(a39,a14),a41) = a42,
    inference(rw,[status(thm)],[c_0_987,c_0_846]) ).

cnf(c_0_997,plain,
    a1 = a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_663,c_0_985]),c_0_193]) ).

cnf(c_0_998,plain,
    product(product(a123,a32),a69) = product(product(a114,a77),a32),
    inference(spm,[status(thm)],[c_0_149,c_0_439]) ).

cnf(c_0_999,plain,
    product(product(X1,a77),a13) = product(product(X1,a13),a78),
    inference(spm,[status(thm)],[c_0_145,c_0_177]) ).

cnf(c_0_1000,plain,
    product(product(X1,a78),a33) = product(product(X1,a33),a79),
    inference(spm,[status(thm)],[c_0_145,c_0_188]) ).

cnf(c_0_1001,plain,
    product(product(X1,a56),a134) = product(product(X1,a134),a57),
    inference(spm,[status(thm)],[c_0_145,c_0_923]) ).

cnf(c_0_1002,axiom,
    a9 = product(a8,a56),
    knot_09 ).

cnf(c_0_1003,axiom,
    a10 = product(a9,a134),
    knot_10 ).

cnf(c_0_1004,axiom,
    a12 = product(a11,a21),
    knot_12 ).

cnf(c_0_1005,plain,
    product(product(a23,a141),a46) = a21,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_988,c_0_989]),c_0_990]) ).

cnf(c_0_1006,axiom,
    a8 = product(a7,a17),
    knot_08 ).

cnf(c_0_1007,axiom,
    a39 = product(a38,a7),
    knot_39 ).

cnf(c_0_1008,axiom,
    a38 = product(a37,a17),
    knot_38 ).

cnf(c_0_1009,axiom,
    a7 = product(a6,a52),
    knot_07 ).

cnf(c_0_1010,plain,
    product(a6,a136) = a5,
    inference(spm,[status(thm)],[c_0_147,c_0_991]) ).

cnf(c_0_1011,plain,
    product(product(a2,a14),a4) = a5,
    inference(rw,[status(thm)],[c_0_992,c_0_993]) ).

cnf(c_0_1012,plain,
    a2 = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_994,c_0_995]),c_0_996]),c_0_985]),c_0_997]) ).

cnf(c_0_1013,plain,
    product(product(product(a123,a13),a33),a70) = a111,
    inference(rw,[status(thm)],[inference(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_163,c_0_998]),c_0_181]),c_0_999]),c_0_183]),c_0_1000]),c_0_195]),c_0_203]),c_0_181]) ).

cnf(c_0_1014,axiom,
    a34 = product(a33,a131),
    knot_34 ).

cnf(c_0_1015,axiom,
    a36 = product(a35,a139),
    knot_36 ).

cnf(c_0_1016,plain,
    product(product(a8,a134),a57) = a10,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1001,c_0_1002]),c_0_1003]) ).

cnf(c_0_1017,plain,
    product(a12,a21) = a11,
    inference(spm,[status(thm)],[c_0_147,c_0_1004]) ).

cnf(c_0_1018,plain,
    a21 = a23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1005,c_0_972]),c_0_147]) ).

cnf(c_0_1019,axiom,
    a13 = product(a12,a23),
    knot_13 ).

cnf(c_0_1020,plain,
    product(product(X1,a7),a17) = product(product(X1,a17),a8),
    inference(spm,[status(thm)],[c_0_145,c_0_1006]) ).

cnf(c_0_1021,plain,
    product(a39,a7) = a38,
    inference(spm,[status(thm)],[c_0_147,c_0_1007]) ).

cnf(c_0_1022,plain,
    product(a38,a17) = a37,
    inference(spm,[status(thm)],[c_0_147,c_0_1008]) ).

cnf(c_0_1023,plain,
    a7 = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1009,c_0_945]),c_0_1010]) ).

cnf(c_0_1024,plain,
    a5 = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_1012]),c_0_983]),c_0_830]) ).

cnf(c_0_1025,plain,
    product(product(a123,a13),a33) = a108,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1013]),c_0_350]) ).

cnf(c_0_1026,axiom,
    a35 = product(a34,a60),
    knot_35 ).

cnf(c_0_1027,plain,
    product(a34,a131) = a33,
    inference(spm,[status(thm)],[c_0_147,c_0_1014]) ).

cnf(c_0_1028,plain,
    product(a36,a139) = a35,
    inference(spm,[status(thm)],[c_0_147,c_0_1015]) ).

cnf(c_0_1029,axiom,
    a37 = product(a36,a47),
    knot_37 ).

cnf(c_0_1030,axiom,
    a11 = product(a10,a37),
    knot_11 ).

cnf(c_0_1031,plain,
    a10 = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1016,c_0_931]),c_0_147]) ).

cnf(c_0_1032,plain,
    a11 = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1017,c_0_1018]),c_0_1019]) ).

cnf(c_0_1033,plain,
    product(product(a39,a17),a8) = a37,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1020,c_0_1021]),c_0_1022]) ).

cnf(c_0_1034,plain,
    product(a39,a17) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1006,c_0_1023]),c_0_1024]) ).

cnf(c_0_1035,plain,
    product(a123,a13) = product(a108,a33),
    inference(spm,[status(thm)],[c_0_147,c_0_1025]) ).

cnf(c_0_1036,plain,
    product(product(a68,a13),a32) = product(a69,a14),
    inference(spm,[status(thm)],[c_0_160,c_0_146]) ).

cnf(c_0_1037,axiom,
    a19 = product(a18,a58),
    knot_19 ).

cnf(c_0_1038,axiom,
    a18 = product(a17,a133),
    knot_18 ).

cnf(c_0_1039,plain,
    a33 = a35,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1026,c_0_912]),c_0_1027]) ).

cnf(c_0_1040,plain,
    a35 = a37,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1028,c_0_960]),c_0_1029]) ).

cnf(c_0_1041,plain,
    product(a8,a37) = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1030,c_0_1031]),c_0_1032]) ).

cnf(c_0_1042,plain,
    a8 = a37,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1033,c_0_1034]),c_0_193]) ).

cnf(c_0_1043,plain,
    product(product(a2,a1),a42) = a3,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_973]),c_0_986]) ).

cnf(c_0_1044,plain,
    product(product(a124,a14),a32) = product(a109,a81),
    inference(rw,[status(thm)],[c_0_520,c_0_347]) ).

cnf(c_0_1045,plain,
    product(product(a108,a33),a13) = a123,
    inference(spm,[status(thm)],[c_0_147,c_0_1035]) ).

cnf(c_0_1046,plain,
    product(product(a69,a14),a13) = product(a68,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_1036]),c_0_147]) ).

cnf(c_0_1047,plain,
    product(product(a69,X1),a13) = product(a70,product(X1,a13)),
    inference(spm,[status(thm)],[c_0_145,c_0_154]) ).

cnf(c_0_1048,plain,
    product(product(a18,X1),a58) = product(a19,product(X1,a58)),
    inference(spm,[status(thm)],[c_0_145,c_0_1037]) ).

cnf(c_0_1049,plain,
    product(a18,a133) = a17,
    inference(spm,[status(thm)],[c_0_147,c_0_1038]) ).

cnf(c_0_1050,plain,
    product(a133,a58) = a132,
    inference(spm,[status(thm)],[c_0_147,c_0_919]) ).

cnf(c_0_1051,axiom,
    a25 = product(a24,a49),
    knot_25 ).

cnf(c_0_1052,plain,
    product(a37,a13) = a32,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_1039]),c_0_1040]) ).

cnf(c_0_1053,plain,
    a37 = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1041,c_0_1042]),c_0_193]) ).

cnf(c_0_1054,plain,
    product(product(a1,a41),a2) = product(a3,a42),
    inference(spm,[status(thm)],[c_0_648,c_0_986]) ).

cnf(c_0_1055,plain,
    product(a3,a42) = product(a2,a1),
    inference(spm,[status(thm)],[c_0_147,c_0_1043]) ).

cnf(c_0_1056,plain,
    product(a1,a41) = product(a2,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_977]),c_0_982]) ).

cnf(c_0_1057,plain,
    product(product(a124,a14),a32) = a110,
    inference(rw,[status(thm)],[c_0_1044,c_0_423]) ).

cnf(c_0_1058,plain,
    product(product(a68,X1),a32) = product(a69,product(X1,a32)),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_1059,plain,
    product(a14,a32) = a13,
    inference(spm,[status(thm)],[c_0_147,c_0_152]) ).

cnf(c_0_1060,plain,
    product(product(a79,a112),a110) = product(product(a70,a119),a80),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_538]),c_0_207]),c_0_289]),c_0_398]) ).

cnf(c_0_1061,plain,
    product(a108,product(a14,a13)) = product(a123,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1045]),c_0_419]) ).

cnf(c_0_1062,plain,
    product(a70,product(a14,a13)) = product(a68,a33),
    inference(rw,[status(thm)],[c_0_1046,c_0_1047]) ).

cnf(c_0_1063,axiom,
    a28 = product(a27,a37),
    knot_28 ).

cnf(c_0_1064,axiom,
    a27 = product(a26,a8),
    knot_27 ).

cnf(c_0_1065,plain,
    product(a19,a132) = product(a17,a58),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_1049]),c_0_1050]) ).

cnf(c_0_1066,plain,
    product(a25,a49) = a24,
    inference(spm,[status(thm)],[c_0_147,c_0_1051]) ).

cnf(c_0_1067,axiom,
    a26 = product(a25,a138),
    knot_26 ).

cnf(c_0_1068,plain,
    a32 = a13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1052,c_0_1053]),c_0_193]) ).

cnf(c_0_1069,plain,
    product(product(a2,a3),a2) = product(a2,a1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1054,c_0_1055]),c_0_1056]) ).

cnf(c_0_1070,plain,
    product(product(a2,a3),a41) = a1,
    inference(spm,[status(thm)],[c_0_147,c_0_1056]) ).

cnf(c_0_1071,plain,
    product(a75,product(a124,a68)) = a77,
    inference(spm,[status(thm)],[c_0_147,c_0_687]) ).

cnf(c_0_1072,plain,
    product(a76,a122) = product(a68,a115),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_703]),c_0_322]) ).

cnf(c_0_1073,plain,
    a110 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1057,c_0_879]),c_0_1058]),c_0_1059]),c_0_154]) ).

cnf(c_0_1074,plain,
    product(product(a70,a82),a110) = a71,
    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_501]),c_0_202]),c_0_165]),c_0_354]),c_0_586]) ).

cnf(c_0_1075,plain,
    product(product(a123,a33),product(a14,a13)) = a108,
    inference(spm,[status(thm)],[c_0_147,c_0_1061]) ).

cnf(c_0_1076,plain,
    a123 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_881,c_0_878]),c_0_879]) ).

cnf(c_0_1077,plain,
    product(product(a68,a33),product(a14,a13)) = a70,
    inference(spm,[status(thm)],[c_0_147,c_0_1062]) ).

cnf(c_0_1078,axiom,
    a29 = product(a28,a17),
    knot_29 ).

cnf(c_0_1079,plain,
    product(product(a27,X1),a37) = product(a28,product(X1,a37)),
    inference(spm,[status(thm)],[c_0_145,c_0_1063]) ).

cnf(c_0_1080,plain,
    product(a27,a8) = a26,
    inference(spm,[status(thm)],[c_0_147,c_0_1064]) ).

cnf(c_0_1081,plain,
    product(product(X1,a17),a38) = product(product(X1,a37),a17),
    inference(spm,[status(thm)],[c_0_145,c_0_1008]) ).

cnf(c_0_1082,plain,
    product(a8,a17) = a7,
    inference(spm,[status(thm)],[c_0_147,c_0_1006]) ).

cnf(c_0_1083,axiom,
    a20 = product(a19,a26),
    knot_20 ).

cnf(c_0_1084,plain,
    product(product(a17,a58),a132) = a19,
    inference(spm,[status(thm)],[c_0_147,c_0_1065]) ).

cnf(c_0_1085,axiom,
    a21 = product(a20,a35),
    knot_21 ).

cnf(c_0_1086,axiom,
    a24 = product(a23,a35),
    knot_24 ).

cnf(c_0_1087,plain,
    a24 = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1066,c_0_953]),c_0_954]),c_0_1067]) ).

cnf(c_0_1088,plain,
    a13 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_1068]),c_0_193]) ).

cnf(c_0_1089,plain,
    product(product(a2,a1),a41) = product(a1,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_1069]),c_0_1070]) ).

cnf(c_0_1090,plain,
    product(product(a2,X1),a41) = product(a3,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_800]) ).

cnf(c_0_1091,plain,
    product(a5,a39) = a4,
    inference(spm,[status(thm)],[c_0_147,c_0_238]) ).

cnf(c_0_1092,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_242,c_0_1071]),c_0_621]),c_0_633]),c_0_170]) ).

cnf(c_0_1093,plain,
    product(product(a68,a115),a122) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_1072]) ).

cnf(c_0_1094,plain,
    a83 = a71,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_578,c_0_1073]),c_0_549]) ).

cnf(c_0_1095,plain,
    a71 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1074,c_0_1073]),c_0_202]),c_0_587]),c_0_1073]),c_0_193]),c_0_193]) ).

cnf(c_0_1096,plain,
    product(a108,a39) = a107,
    inference(spm,[status(thm)],[c_0_147,c_0_261]) ).

cnf(c_0_1097,plain,
    a108 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1075,c_0_1076]),c_0_1077]) ).

cnf(c_0_1098,axiom,
    a15 = product(a14,a53),
    knot_15 ).

cnf(c_0_1099,plain,
    product(product(a28,X1),a17) = product(a29,product(X1,a17)),
    inference(spm,[status(thm)],[c_0_145,c_0_1078]) ).

cnf(c_0_1100,plain,
    product(a28,product(a8,a37)) = product(a26,a37),
    inference(spm,[status(thm)],[c_0_1079,c_0_1080]) ).

cnf(c_0_1101,plain,
    product(product(a8,a37),a17) = product(a7,a38),
    inference(spm,[status(thm)],[c_0_1081,c_0_1082]) ).

cnf(c_0_1102,plain,
    product(a20,a26) = a19,
    inference(spm,[status(thm)],[c_0_147,c_0_1083]) ).

cnf(c_0_1103,plain,
    a19 = a17,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1084,c_0_920]),c_0_147]) ).

cnf(c_0_1104,plain,
    product(a21,a35) = a20,
    inference(spm,[status(thm)],[c_0_147,c_0_1085]) ).

cnf(c_0_1105,plain,
    product(a23,a14) = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1086,c_0_1087]),c_0_1040]),c_0_1053]),c_0_1088]) ).

cnf(c_0_1106,plain,
    product(a3,product(a2,a3)) = product(a1,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1089,c_0_1090]),c_0_1056]) ).

cnf(c_0_1107,plain,
    product(product(X1,a3),a14) = product(product(X1,a14),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_815]) ).

cnf(c_0_1108,plain,
    product(product(a4,a40),a39) = product(a4,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_980]),c_0_1091]) ).

cnf(c_0_1109,plain,
    product(a77,a76) = product(a76,a121),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_178]),c_0_197]) ).

cnf(c_0_1110,plain,
    product(product(X1,a76),a68) = product(product(X1,a68),a75),
    inference(spm,[status(thm)],[c_0_145,c_0_605]) ).

cnf(c_0_1111,plain,
    product(product(a75,a114),a76) = product(a68,a122),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_766]),c_0_567]),c_0_1092]) ).

cnf(c_0_1112,plain,
    product(a76,a115) = product(a68,a123),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_1093]),c_0_147]) ).

cnf(c_0_1113,plain,
    product(product(a84,a106),a31) = product(a87,a5),
    inference(spm,[status(thm)],[c_0_147,c_0_259]) ).

cnf(c_0_1114,plain,
    product(a84,a39) = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_1094]),c_0_1095]) ).

cnf(c_0_1115,plain,
    product(a70,a39) = a107,
    inference(rw,[status(thm)],[c_0_1096,c_0_1097]) ).

cnf(c_0_1116,axiom,
    a17 = product(a16,a29),
    knot_17 ).

cnf(c_0_1117,plain,
    product(a15,a53) = a14,
    inference(spm,[status(thm)],[c_0_147,c_0_1098]) ).

cnf(c_0_1118,axiom,
    a16 = product(a15,a136),
    knot_16 ).

cnf(c_0_1119,plain,
    product(product(a26,a37),a17) = product(a29,product(a7,a38)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1099,c_0_1100]),c_0_1101]) ).

cnf(c_0_1120,plain,
    product(product(X1,a38),a7) = product(product(X1,a7),a39),
    inference(spm,[status(thm)],[c_0_145,c_0_1007]) ).

cnf(c_0_1121,plain,
    product(a20,a26) = a17,
    inference(rw,[status(thm)],[c_0_1102,c_0_1103]) ).

cnf(c_0_1122,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_1104,c_0_1040]),c_0_1018]),c_0_1053]),c_0_1088]),c_0_1105]) ).

cnf(c_0_1123,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_981,c_0_1106]),c_0_1107]),c_0_1107]),c_0_1011]) ).

cnf(c_0_1124,plain,
    product(product(a4,a5),a4) = product(a5,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_992]),c_0_1108]) ).

cnf(c_0_1125,plain,
    product(product(a68,a114),a77) = 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_595,c_0_642]),c_0_411]),c_0_178]),c_0_1109]),c_0_641]) ).

cnf(c_0_1126,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_1110,c_0_1111]),c_0_202]),c_0_186]),c_0_620]),c_0_420]),c_0_170]),c_0_1112]),c_0_483]) ).

cnf(c_0_1127,plain,
    product(a110,product(a70,a110)) = product(a109,a110),
    inference(spm,[status(thm)],[c_0_202,c_0_245]) ).

cnf(c_0_1128,plain,
    product(product(product(a84,a106),a39),a32) = product(product(a87,a5),a39),
    inference(spm,[status(thm)],[c_0_272,c_0_1113]) ).

cnf(c_0_1129,plain,
    a107 = a84,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1114]),c_0_1115]) ).

cnf(c_0_1130,plain,
    product(product(a31,X1),a39) = product(a32,product(X1,a39)),
    inference(spm,[status(thm)],[c_0_145,c_0_256]) ).

cnf(c_0_1131,plain,
    product(a31,a5) = a30,
    inference(spm,[status(thm)],[c_0_147,c_0_237]) ).

cnf(c_0_1132,plain,
    product(a17,a29) = a16,
    inference(spm,[status(thm)],[c_0_147,c_0_1116]) ).

cnf(c_0_1133,plain,
    a16 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1117,c_0_940]),c_0_1118]) ).

cnf(c_0_1134,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_1081,c_0_1119]),c_0_242]),c_0_1120]),c_0_147]) ).

cnf(c_0_1135,plain,
    a26 = a17,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1121,c_0_1122]),c_0_193]) ).

cnf(c_0_1136,plain,
    product(a1,a14) = product(a5,a40),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1123]),c_0_1124]) ).

cnf(c_0_1137,plain,
    product(a75,a124) = product(a92,a77),
    inference(rw,[status(thm)],[c_0_1125,c_0_765]) ).

cnf(c_0_1138,plain,
    product(a77,a124) = product(a68,a75),
    inference(spm,[status(thm)],[c_0_147,c_0_1126]) ).

cnf(c_0_1139,plain,
    product(a90,a123) = a75,
    inference(rw,[status(thm)],[c_0_644,c_0_684]) ).

cnf(c_0_1140,plain,
    product(a91,a123) = product(a68,a124),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_812]),c_0_1092]),c_0_702]) ).

cnf(c_0_1141,plain,
    product(a70,a32) = product(a68,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_583]),c_0_154]) ).

cnf(c_0_1142,plain,
    product(a110,product(a70,a110)) = a118,
    inference(rw,[status(thm)],[c_0_1127,c_0_444]) ).

cnf(c_0_1143,plain,
    product(product(product(a84,a106),a39),a32) = product(a88,a40),
    inference(rw,[status(thm)],[c_0_1128,c_0_623]) ).

cnf(c_0_1144,plain,
    product(a106,a5) = a105,
    inference(spm,[status(thm)],[c_0_147,c_0_221]) ).

cnf(c_0_1145,plain,
    a106 = a84,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_1129]),c_0_193]) ).

cnf(c_0_1146,axiom,
    a30 = product(a29,a14),
    knot_30 ).

cnf(c_0_1147,plain,
    product(product(a30,X1),a5) = product(a31,product(X1,a5)),
    inference(spm,[status(thm)],[c_0_145,c_0_237]) ).

cnf(c_0_1148,plain,
    product(a30,a39) = product(a32,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1130,c_0_1131]),c_0_1091]) ).

cnf(c_0_1149,plain,
    product(product(a45,X1),a141) = product(a46,product(X1,a141)),
    inference(spm,[status(thm)],[c_0_145,c_0_965]) ).

cnf(c_0_1150,plain,
    product(a17,a29) = a14,
    inference(rw,[status(thm)],[c_0_1132,c_0_1133]) ).

cnf(c_0_1151,plain,
    a17 = a29,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1134,c_0_1023]),c_0_1024]),c_0_147]),c_0_1135]),c_0_193]) ).

cnf(c_0_1152,plain,
    product(product(a46,X1),a11) = product(a47,product(X1,a11)),
    inference(spm,[status(thm)],[c_0_145,c_0_961]) ).

cnf(c_0_1153,plain,
    product(a141,a11) = a140,
    inference(spm,[status(thm)],[c_0_147,c_0_966]) ).

cnf(c_0_1154,plain,
    product(product(a5,a14),a41) = a1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1136]),c_0_666]) ).

cnf(c_0_1155,plain,
    product(product(a64,X1),a41) = product(a65,product(X1,a41)),
    inference(spm,[status(thm)],[c_0_145,c_0_682]) ).

cnf(c_0_1156,plain,
    product(a64,a127) = a63,
    inference(spm,[status(thm)],[c_0_147,c_0_899]) ).

cnf(c_0_1157,plain,
    product(a127,a41) = a126,
    inference(spm,[status(thm)],[c_0_147,c_0_680]) ).

cnf(c_0_1158,plain,
    product(a91,product(a68,a75)) = a75,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1137]),c_0_810]),c_0_1138]) ).

cnf(c_0_1159,plain,
    a75 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1139,c_0_866]),c_0_1140]),c_0_811]),c_0_868]) ).

cnf(c_0_1160,plain,
    product(a117,product(a68,a14)) = product(a119,a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_156]),c_0_1141]) ).

cnf(c_0_1161,plain,
    product(a118,product(a70,a110)) = a110,
    inference(spm,[status(thm)],[c_0_147,c_0_1142]) ).

cnf(c_0_1162,plain,
    product(product(product(product(a84,a106),a39),a13),a32) = a90,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1143]),c_0_666]),c_0_667]),c_0_668]) ).

cnf(c_0_1163,plain,
    product(a4,product(a2,a14)) = product(a1,a14),
    inference(spm,[status(thm)],[c_0_981,c_0_977]) ).

cnf(c_0_1164,plain,
    product(a105,a30) = a104,
    inference(spm,[status(thm)],[c_0_147,c_0_212]) ).

cnf(c_0_1165,plain,
    a105 = a85,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1144,c_0_1145]),c_0_225]) ).

cnf(c_0_1166,plain,
    product(a30,a14) = a29,
    inference(spm,[status(thm)],[c_0_147,c_0_1146]) ).

cnf(c_0_1167,plain,
    product(product(X1,a5),a39) = product(product(X1,a39),a4),
    inference(spm,[status(thm)],[c_0_145,c_0_1091]) ).

cnf(c_0_1168,plain,
    product(product(a32,a4),a5) = product(a31,product(a39,a5)),
    inference(spm,[status(thm)],[c_0_1147,c_0_1148]) ).

cnf(c_0_1169,plain,
    product(a32,a39) = a31,
    inference(spm,[status(thm)],[c_0_147,c_0_256]) ).

cnf(c_0_1170,plain,
    product(a46,product(a23,a141)) = product(a44,a141),
    inference(spm,[status(thm)],[c_0_1149,c_0_969]) ).

cnf(c_0_1171,plain,
    a29 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1150,c_0_1151]),c_0_193]) ).

cnf(c_0_1172,plain,
    product(a45,a11) = product(a47,a140),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1152,c_0_971]),c_0_1153]) ).

cnf(c_0_1173,plain,
    product(a5,a14) = product(a2,a3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1154]),c_0_1056]) ).

cnf(c_0_1174,plain,
    a38 = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1021,c_0_1023]),c_0_1024]),c_0_193]) ).

cnf(c_0_1175,plain,
    product(a63,a41) = product(a65,a126),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_1156]),c_0_1157]) ).

cnf(c_0_1176,plain,
    a63 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_893]),c_0_193]) ).

cnf(c_0_1177,plain,
    product(a97,a42) = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_786,c_0_898]),c_0_902]) ).

cnf(c_0_1178,plain,
    a92 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1158,c_0_1159]),c_0_193]),c_0_827]),c_0_842]),c_0_853]),c_0_1159]) ).

cnf(c_0_1179,plain,
    product(a90,a41) = a89,
    inference(spm,[status(thm)],[c_0_147,c_0_668]) ).

cnf(c_0_1180,plain,
    product(a86,a5) = product(a84,a31),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_213]),c_0_236]) ).

cnf(c_0_1181,plain,
    a116 = a117,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_877]),c_0_159]) ).

cnf(c_0_1182,plain,
    product(product(a109,a32),a117) = product(a108,a32),
    inference(spm,[status(thm)],[c_0_331,c_0_282]) ).

cnf(c_0_1183,plain,
    product(product(a119,a32),product(a68,a14)) = a117,
    inference(spm,[status(thm)],[c_0_147,c_0_1160]) ).

cnf(c_0_1184,plain,
    a119 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1161,c_0_1073]),c_0_193]),c_0_156]),c_0_1073]) ).

cnf(c_0_1185,plain,
    product(a68,a14) = a74,
    inference(rw,[status(thm)],[c_0_433,c_0_1159]) ).

cnf(c_0_1186,plain,
    product(product(a75,X1),a14) = product(a74,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_433]) ).

cnf(c_0_1187,plain,
    product(a75,a123) = a90,
    inference(rw,[status(thm)],[c_0_652,c_0_684]) ).

cnf(c_0_1188,plain,
    product(a90,a14) = product(a88,a40),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1162]),c_0_147]),c_0_1128]),c_0_623]) ).

cnf(c_0_1189,plain,
    product(a4,product(a2,a14)) = product(a5,a40),
    inference(rw,[status(thm)],[c_0_1163,c_0_1136]) ).

cnf(c_0_1190,plain,
    product(product(X1,a87),a4) = product(product(X1,a4),a88),
    inference(spm,[status(thm)],[c_0_145,c_0_568]) ).

cnf(c_0_1191,plain,
    a86 = a104,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1164,c_0_1165]),c_0_213]) ).

cnf(c_0_1192,plain,
    product(product(a118,a13),a32) = a122,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_166]),c_0_175]),c_0_185]) ).

cnf(c_0_1193,plain,
    product(a114,product(a114,a77)) = product(a121,a77),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_515]),c_0_452]),c_0_421]) ).

cnf(c_0_1194,plain,
    product(product(a30,X1),a14) = product(a29,product(X1,a14)),
    inference(spm,[status(thm)],[c_0_145,c_0_1166]) ).

cnf(c_0_1195,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_1167,c_0_1168]),c_0_1130]),c_0_202]),c_0_1091]),c_0_226]),c_0_250]),c_0_1169]),c_0_1131]) ).

cnf(c_0_1196,plain,
    product(product(a44,a141),a46) = product(a46,a21),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_1170]),c_0_1005]) ).

cnf(c_0_1197,plain,
    a23 = 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_1085,c_0_1040]),c_0_1122]),c_0_1135]),c_0_1151]),c_0_1171]),c_0_1053]),c_0_1088]),c_0_193]),c_0_1018]) ).

cnf(c_0_1198,plain,
    product(a141,a14) = a47,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1172,c_0_967]),c_0_193]),c_0_975]),c_0_1032]),c_0_1088]) ).

cnf(c_0_1199,plain,
    product(a39,a14) = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1173,c_0_995]),c_0_800]),c_0_995]),c_0_1024]) ).

cnf(c_0_1200,plain,
    a39 = 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)],[c_0_1008,c_0_1174]),c_0_1053]),c_0_1088]),c_0_1151]),c_0_1171]),c_0_193]) ).

cnf(c_0_1201,plain,
    product(product(X1,a13),a33) = product(product(X1,a14),a32),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_1059]),c_0_181]) ).

cnf(c_0_1202,plain,
    product(a131,a13) = a130,
    inference(spm,[status(thm)],[c_0_147,c_0_909]) ).

cnf(c_0_1203,plain,
    product(a98,a1) = a97,
    inference(spm,[status(thm)],[c_0_147,c_0_757]) ).

cnf(c_0_1204,plain,
    product(a62,a41) = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1175,c_0_884]),c_0_193]),c_0_1176]),c_0_902]) ).

cnf(c_0_1205,plain,
    a62 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_985]),c_0_757]),c_0_853]),c_0_1178]) ).

cnf(c_0_1206,plain,
    product(a68,a41) = a89,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1179,c_0_866]),c_0_885]),c_0_886]) ).

cnf(c_0_1207,plain,
    product(a62,a42) = a97,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_710,c_0_898]),c_0_902]) ).

cnf(c_0_1208,plain,
    product(product(a134,X1),a37) = product(a135,product(X1,a37)),
    inference(spm,[status(thm)],[c_0_145,c_0_916]) ).

cnf(c_0_1209,plain,
    product(a134,a26) = a133,
    inference(spm,[status(thm)],[c_0_147,c_0_926]) ).

cnf(c_0_1210,plain,
    product(product(a86,a39),a4) = product(a83,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1167,c_0_1180]),c_0_272]),c_0_277]) ).

cnf(c_0_1211,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_371,c_0_1181]),c_0_1182]),c_0_341]),c_0_1181]),c_0_193]) ).

cnf(c_0_1212,plain,
    a117 = a74,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1183,c_0_1184]),c_0_1141]),c_0_1185]),c_0_1185]),c_0_193]) ).

cnf(c_0_1213,plain,
    product(a74,product(a117,a116)) = product(a88,a40),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1186,c_0_1187]),c_0_1188]),c_0_432]) ).

cnf(c_0_1214,plain,
    a40 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_815,c_0_995]),c_0_983]) ).

cnf(c_0_1215,plain,
    product(a88,a4) = a87,
    inference(spm,[status(thm)],[c_0_147,c_0_568]) ).

cnf(c_0_1216,plain,
    product(product(a5,a40),product(a2,a14)) = a4,
    inference(spm,[status(thm)],[c_0_147,c_0_1189]) ).

cnf(c_0_1217,plain,
    product(product(a104,a4),a88) = a102,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1190,c_0_247]),c_0_240]) ).

cnf(c_0_1218,plain,
    a104 = a87,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_1191]),c_0_193]) ).

cnf(c_0_1219,plain,
    product(a120,a69) = product(a118,a13),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1192]),c_0_153]) ).

cnf(c_0_1220,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(spm,[status(thm)],[c_0_1110,c_0_747]),c_0_202]),c_0_621]),c_0_633]),c_0_170]) ).

cnf(c_0_1221,plain,
    product(a114,product(a114,a77)) = a99,
    inference(rw,[status(thm)],[c_0_1193,c_0_547]) ).

cnf(c_0_1222,plain,
    product(product(a32,a14),a41) = product(a29,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1194,c_0_1195]),c_0_666]),c_0_831]) ).

cnf(c_0_1223,plain,
    product(product(X1,a3),a41) = product(product(X1,a41),a2),
    inference(spm,[status(thm)],[c_0_145,c_0_982]) ).

cnf(c_0_1224,plain,
    product(a138,a20) = a47,
    inference(rw,[status(thm)],[c_0_957,c_0_960]) ).

cnf(c_0_1225,plain,
    a47 = a41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1196,c_0_970]),c_0_972]),c_0_147]),c_0_972]),c_0_1018]),c_0_1197]),c_0_1198]),c_0_985]),c_0_997]),c_0_1012]) ).

cnf(c_0_1226,plain,
    a41 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1199,c_0_1200]),c_0_193]) ).

cnf(c_0_1227,plain,
    product(product(a131,a14),a32) = product(a130,a33),
    inference(spm,[status(thm)],[c_0_1201,c_0_1202]) ).

cnf(c_0_1228,plain,
    product(product(a94,a64),a2) = product(product(a92,a66),a42),
    inference(rw,[status(thm)],[c_0_775,c_0_796]) ).

cnf(c_0_1229,plain,
    product(a68,a1) = a97,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1203,c_0_853]),c_0_1178]) ).

cnf(c_0_1230,plain,
    a89 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1204,c_0_1205]),c_0_1206]) ).

cnf(c_0_1231,plain,
    a97 = a130,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1207,c_0_985]),c_0_896]),c_0_908]) ).

cnf(c_0_1232,plain,
    product(product(a135,X1),a29) = product(a136,product(X1,a29)),
    inference(spm,[status(thm)],[c_0_145,c_0_935]) ).

cnf(c_0_1233,plain,
    product(a135,product(a26,a37)) = product(a133,a37),
    inference(spm,[status(thm)],[c_0_1208,c_0_1209]) ).

cnf(c_0_1234,plain,
    product(product(a83,a32),a40) = product(a86,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_1210]),c_0_147]) ).

cnf(c_0_1235,plain,
    product(a74,a40) = a102,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_1211]),c_0_1212]) ).

cnf(c_0_1236,plain,
    a87 = 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_1213,c_0_1212]),c_0_1181]),c_0_1212]),c_0_193]),c_0_193]),c_0_1214]),c_0_1215]) ).

cnf(c_0_1237,plain,
    a4 = a39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1216,c_0_1012]),c_0_983]),c_0_147]),c_0_1024]) ).

cnf(c_0_1238,plain,
    a102 = a88,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1217,c_0_1218]),c_0_568]),c_0_193]) ).

cnf(c_0_1239,plain,
    product(product(a79,a112),a32) = product(a74,product(a68,a14)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_207]),c_0_1141]) ).

cnf(c_0_1240,plain,
    product(a122,a32) = product(a118,a13),
    inference(rw,[status(thm)],[c_0_153,c_0_1219]) ).

cnf(c_0_1241,plain,
    product(a122,a13) = product(a118,a33),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_162]),c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_1242,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_242,c_0_1220]),c_0_202]),c_0_186]),c_0_620]) ).

cnf(c_0_1243,plain,
    product(a99,product(a114,a77)) = a114,
    inference(spm,[status(thm)],[c_0_147,c_0_1221]) ).

cnf(c_0_1244,plain,
    product(product(a68,a114),product(a124,a121)) = a76,
    inference(spm,[status(thm)],[c_0_147,c_0_737]) ).

cnf(c_0_1245,plain,
    product(product(a29,a41),a2) = product(a32,a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1222]),c_0_1223]) ).

cnf(c_0_1246,plain,
    product(product(X1,a52),a136) = product(product(X1,a136),a53),
    inference(spm,[status(thm)],[c_0_145,c_0_932]) ).

cnf(c_0_1247,plain,
    product(product(a15,X1),a53) = product(a14,product(X1,a53)),
    inference(spm,[status(thm)],[c_0_145,c_0_1117]) ).

cnf(c_0_1248,plain,
    product(product(X1,a51),a39) = product(product(X1,a39),a52),
    inference(spm,[status(thm)],[c_0_145,c_0_938]) ).

cnf(c_0_1249,plain,
    product(a137,a39) = a136,
    inference(spm,[status(thm)],[c_0_147,c_0_946]) ).

cnf(c_0_1250,plain,
    product(a9,a56) = a8,
    inference(spm,[status(thm)],[c_0_147,c_0_1002]) ).

cnf(c_0_1251,plain,
    product(product(a34,X1),a60) = product(a35,product(X1,a60)),
    inference(spm,[status(thm)],[c_0_145,c_0_1026]) ).

cnf(c_0_1252,plain,
    product(a138,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)],[c_0_1224,c_0_1122]),c_0_1135]),c_0_1151]),c_0_1171]),c_0_1225]),c_0_1226]) ).

cnf(c_0_1253,plain,
    product(product(a130,a33),a32) = product(a131,a14),
    inference(spm,[status(thm)],[c_0_147,c_0_1227]) ).

cnf(c_0_1254,plain,
    a130 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1228,c_0_882]),c_0_898]),c_0_902]),c_0_893]),c_0_902]),c_0_193]),c_0_1178]),c_0_868]),c_0_193]),c_0_985]),c_0_1229]),c_0_1205]),c_0_1012]),c_0_1206]),c_0_1230]),c_0_1231]) ).

cnf(c_0_1255,plain,
    product(a136,product(product(a26,a37),a29)) = product(product(a133,a37),a29),
    inference(spm,[status(thm)],[c_0_1232,c_0_1233]) ).

cnf(c_0_1256,plain,
    product(product(product(X1,X2),X3),product(X4,product(X2,X3))) = product(product(product(X1,X3),X4),product(X2,X3)),
    inference(spm,[status(thm)],[c_0_145,c_0_145]) ).

cnf(c_0_1257,plain,
    product(product(X1,product(X2,X3)),product(product(X4,X2),X3)) = product(product(X1,product(X4,X3)),product(X2,X3)),
    inference(spm,[status(thm)],[c_0_145,c_0_145]) ).

cnf(c_0_1258,plain,
    product(a89,a14) = a88,
    inference(spm,[status(thm)],[c_0_147,c_0_667]) ).

cnf(c_0_1259,plain,
    product(a74,a39) = a88,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1234,c_0_1094]),c_0_1095]),c_0_1141]),c_0_1185]),c_0_1235]),c_0_1191]),c_0_1218]),c_0_1236]),c_0_1237]),c_0_1238]) ).

cnf(c_0_1260,plain,
    product(product(a26,a17),a39) = product(a29,a7),
    inference(spm,[status(thm)],[c_0_147,c_0_1134]) ).

cnf(c_0_1261,plain,
    product(a29,a17) = a28,
    inference(spm,[status(thm)],[c_0_147,c_0_1078]) ).

cnf(c_0_1262,plain,
    product(product(product(a79,a112),a13),a32) = a76,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1239]),c_0_242]),c_0_158]),c_0_170]) ).

cnf(c_0_1263,plain,
    product(product(a108,a71),a110) = product(a110,product(a118,a110)),
    inference(spm,[status(thm)],[c_0_202,c_0_470]) ).

cnf(c_0_1264,plain,
    product(product(a118,a33),a32) = product(product(a118,a13),a14),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_1240]),c_0_1241]) ).

cnf(c_0_1265,plain,
    product(product(a118,a33),a13) = a122,
    inference(spm,[status(thm)],[c_0_147,c_0_1241]) ).

cnf(c_0_1266,plain,
    product(a90,a122) = a76,
    inference(rw,[status(thm)],[c_0_1093,c_0_684]) ).

cnf(c_0_1267,plain,
    product(a91,a122) = a77,
    inference(rw,[status(thm)],[c_0_1242,c_0_812]) ).

cnf(c_0_1268,plain,
    product(a99,product(a124,a121)) = a114,
    inference(rw,[status(thm)],[c_0_1243,c_0_603]) ).

cnf(c_0_1269,plain,
    product(a92,product(a124,a121)) = a76,
    inference(rw,[status(thm)],[c_0_1244,c_0_765]) ).

cnf(c_0_1270,plain,
    product(a122,a66) = a124,
    inference(rw,[status(thm)],[c_0_688,c_0_811]) ).

cnf(c_0_1271,plain,
    a121 = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_836,c_0_867]),c_0_147]) ).

cnf(c_0_1272,plain,
    product(product(a32,a14),a2) = product(a29,a41),
    inference(spm,[status(thm)],[c_0_147,c_0_1245]) ).

cnf(c_0_1273,plain,
    product(product(X1,a41),a14) = product(product(X1,a14),a40),
    inference(spm,[status(thm)],[c_0_145,c_0_983]) ).

cnf(c_0_1274,plain,
    product(a7,a136) = product(a5,a53),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1246,c_0_1009]),c_0_1010]) ).

cnf(c_0_1275,plain,
    product(a14,product(a136,a53)) = product(a16,a53),
    inference(spm,[status(thm)],[c_0_1247,c_0_1118]) ).

cnf(c_0_1276,plain,
    product(a16,a136) = a15,
    inference(spm,[status(thm)],[c_0_147,c_0_1118]) ).

cnf(c_0_1277,plain,
    product(a136,a52) = product(a138,a39),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1248,c_0_949]),c_0_1249]) ).

cnf(c_0_1278,plain,
    product(a10,a57) = product(a8,a134),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1001,c_0_1250]),c_0_1003]) ).

cnf(c_0_1279,plain,
    product(a10,a134) = a9,
    inference(spm,[status(thm)],[c_0_147,c_0_1003]) ).

cnf(c_0_1280,plain,
    product(a58,a26) = a134,
    inference(rw,[status(thm)],[c_0_928,c_0_931]) ).

cnf(c_0_1281,plain,
    product(a19,a58) = a18,
    inference(spm,[status(thm)],[c_0_147,c_0_1037]) ).

cnf(c_0_1282,plain,
    product(a35,product(a131,a60)) = product(a33,a60),
    inference(spm,[status(thm)],[c_0_1251,c_0_1027]) ).

cnf(c_0_1283,plain,
    product(a131,a138) = a58,
    inference(rw,[status(thm)],[c_0_915,c_0_920]) ).

cnf(c_0_1284,plain,
    a138 = a14,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1252]),c_0_193]) ).

cnf(c_0_1285,plain,
    product(a131,a14) = a65,
    inference(rw,[status(thm)],[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_1253,c_0_1039]),c_0_1040]),c_0_1053]),c_0_909]),c_0_1068]),c_0_1202]),c_0_1254]) ).

cnf(c_0_1286,plain,
    product(a136,a39) = a138,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_946,c_0_950]),c_0_954]) ).

cnf(c_0_1287,plain,
    product(a136,a14) = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1255,c_0_1135]),c_0_1151]),c_0_1171]),c_0_1053]),c_0_1088]),c_0_193]),c_0_1171]),c_0_193]),c_0_927]),c_0_1053]),c_0_1088]),c_0_1171]),c_0_147]) ).

cnf(c_0_1288,plain,
    product(product(product(a130,X1),X2),product(a13,X1)) = product(product(a131,X1),product(X2,product(a13,X1))),
    inference(spm,[status(thm)],[c_0_1256,c_0_909]) ).

cnf(c_0_1289,plain,
    product(product(X1,product(X2,product(X2,X3))),product(X3,product(X2,X3))) = product(product(X1,X3),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1257,c_0_193]),c_0_242]),c_0_242]) ).

cnf(c_0_1290,plain,
    product(a65,a14) = a88,
    inference(rw,[status(thm)],[c_0_1258,c_0_1230]) ).

cnf(c_0_1291,plain,
    a88 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1259,c_0_1200]),c_0_158]),c_0_1159]) ).

cnf(c_0_1292,plain,
    product(a26,product(a39,a17)) = product(a28,a8),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1260]),c_0_1020]),c_0_1261]) ).

cnf(c_0_1293,plain,
    product(product(a79,a112),a13) = product(a76,a32),
    inference(spm,[status(thm)],[c_0_147,c_0_1262]) ).

cnf(c_0_1294,plain,
    product(a110,product(a118,a110)) = a119,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1263,c_0_488]),c_0_147]) ).

cnf(c_0_1295,plain,
    product(product(product(a118,a13),a14),a13) = product(a122,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_1264]),c_0_1265]) ).

cnf(c_0_1296,plain,
    a77 = a76,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1266,c_0_866]),c_0_1267]) ).

cnf(c_0_1297,plain,
    a76 = a114,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1268,c_0_867]),c_0_1269]) ).

cnf(c_0_1298,plain,
    a114 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1270,c_0_868]),c_0_186]),c_0_1271]),c_0_879]) ).

cnf(c_0_1299,plain,
    a103 = a87,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_1218]),c_0_193]) ).

cnf(c_0_1300,plain,
    product(a112,product(a14,a13)) = product(a114,a33),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_173]),c_0_419]) ).

cnf(c_0_1301,plain,
    product(a32,product(a2,a14)) = product(a30,a40),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1272]),c_0_1273]),c_0_1146]) ).

cnf(c_0_1302,plain,
    product(a39,a136) = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1274,c_0_940]),c_0_991]),c_0_1023]),c_0_1024]) ).

cnf(c_0_1303,plain,
    product(a14,a136) = a15,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1275,c_0_940]),c_0_193]),c_0_940]),c_0_1276]) ).

cnf(c_0_1304,plain,
    product(a138,a39) = a136,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1277,c_0_945]),c_0_193]) ).

cnf(c_0_1305,plain,
    product(a8,a134) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1278,c_0_931]),c_0_1279]) ).

cnf(c_0_1306,plain,
    product(a58,a14) = a134,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1280,c_0_1135]),c_0_1151]),c_0_1171]) ).

cnf(c_0_1307,plain,
    product(product(a12,X1),a21) = product(a11,product(X1,a21)),
    inference(spm,[status(thm)],[c_0_145,c_0_1017]) ).

cnf(c_0_1308,plain,
    product(a17,a58) = a18,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1065,c_0_920]),c_0_1281]) ).

cnf(c_0_1309,plain,
    product(a35,a131) = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1282,c_0_912]),c_0_193]),c_0_912]),c_0_1014]) ).

cnf(c_0_1310,plain,
    a65 = a58,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1283,c_0_1284]),c_0_1285]) ).

cnf(c_0_1311,plain,
    a58 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1286,c_0_1200]),c_0_1287]),c_0_1284]) ).

cnf(c_0_1312,plain,
    a68 = 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(spm,[status(thm)],[c_0_1288,c_0_1289]),c_0_242]),c_0_1254]),c_0_1088]),c_0_1290]),c_0_1291]),c_0_147]),c_0_1088]),c_0_1088]),c_0_1088]),c_0_1088]),c_0_145]),c_0_193]),c_0_147]) ).

cnf(c_0_1313,plain,
    product(product(a28,a8),product(a39,a17)) = a26,
    inference(spm,[status(thm)],[c_0_147,c_0_1292]) ).

cnf(c_0_1314,plain,
    product(a49,a60) = product(a51,a131),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_941,c_0_936]),c_0_943]) ).

cnf(c_0_1315,plain,
    product(a69,product(a82,a13)) = product(a76,a32),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1293,c_0_586]),c_0_590]) ).

cnf(c_0_1316,plain,
    product(a110,a109) = a119,
    inference(rw,[status(thm)],[c_0_1294,c_0_414]) ).

cnf(c_0_1317,plain,
    product(a118,product(a14,a13)) = product(a122,a33),
    inference(rw,[status(thm)],[c_0_1295,c_0_278]) ).

cnf(c_0_1318,plain,
    product(product(a77,a33),product(a14,a13)) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_426]) ).

cnf(c_0_1319,plain,
    a77 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1296,c_0_1297]),c_0_1298]) ).

cnf(c_0_1320,plain,
    product(a78,a113) = a113,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_1297]),c_0_183]) ).

cnf(c_0_1321,plain,
    a70 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_583,c_0_1068]),c_0_154]) ).

cnf(c_0_1322,plain,
    product(a88,a39) = a74,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_1299]),c_0_1238]),c_0_1237]),c_0_1236]) ).

cnf(c_0_1323,plain,
    product(product(a114,a33),product(a14,a13)) = a112,
    inference(spm,[status(thm)],[c_0_147,c_0_1300]) ).

cnf(c_0_1324,plain,
    product(product(product(a114,a77),a32),a69) = product(a123,a32),
    inference(spm,[status(thm)],[c_0_149,c_0_428]) ).

cnf(c_0_1325,plain,
    product(product(a114,a77),a32) = product(a111,a13),
    inference(spm,[status(thm)],[c_0_147,c_0_545]) ).

cnf(c_0_1326,plain,
    product(product(a30,a40),product(a2,a14)) = a32,
    inference(spm,[status(thm)],[c_0_147,c_0_1301]) ).

cnf(c_0_1327,plain,
    a141 = a39,
    inference(rw,[status(thm)],[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_968,c_0_972]),c_0_1225]),c_0_1032]),c_0_1088]),c_0_983]),c_0_1214]),c_0_1237]) ).

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,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),
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_1329,plain,
    a15 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1302,c_0_1200]),c_0_1303]) ).

cnf(c_0_1330,plain,
    a136 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1304,c_0_1200]),c_0_1284]),c_0_193]) ).

cnf(c_0_1331,plain,
    product(a134,a14) = a135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_916,c_0_1053]),c_0_1088]) ).

cnf(c_0_1332,plain,
    product(a14,a134) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1305,c_0_1042]),c_0_1053]),c_0_1088]) ).

cnf(c_0_1333,plain,
    a134 = a136,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1287]),c_0_1306]) ).

cnf(c_0_1334,plain,
    product(a57,a134) = a56,
    inference(spm,[status(thm)],[c_0_147,c_0_923]) ).

cnf(c_0_1335,plain,
    product(a37,a47) = a36,
    inference(spm,[status(thm)],[c_0_147,c_0_1029]) ).

cnf(c_0_1336,plain,
    product(a11,product(a23,a21)) = product(a13,a21),
    inference(spm,[status(thm)],[c_0_1307,c_0_1019]) ).

cnf(c_0_1337,plain,
    product(a13,a23) = a12,
    inference(spm,[status(thm)],[c_0_147,c_0_1019]) ).

cnf(c_0_1338,plain,
    product(a14,a58) = a18,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1308,c_0_1151]),c_0_1171]) ).

cnf(c_0_1339,plain,
    product(a26,a138) = a25,
    inference(spm,[status(thm)],[c_0_147,c_0_1067]) ).

cnf(c_0_1340,plain,
    product(a14,a131) = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1309,c_0_1040]),c_0_1053]),c_0_1088]) ).

cnf(c_0_1341,plain,
    a131 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1290,c_0_1291]),c_0_1310]),c_0_1311]),c_0_193]),c_0_1312]) ).

cnf(c_0_1342,plain,
    a28 = a26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1313,c_0_1034]),c_0_147]) ).

cnf(c_0_1343,plain,
    product(a41,a68) = a43,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_958,c_0_985]),c_0_997]),c_0_1012]),c_0_1205]) ).

cnf(c_0_1344,plain,
    product(a138,a131) = a50,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1314,c_0_912]),c_0_937]),c_0_954]) ).

cnf(c_0_1345,plain,
    product(a96,a127) = a95,
    inference(rw,[status(thm)],[c_0_694,c_0_882]) ).

cnf(c_0_1346,plain,
    product(product(a76,a32),product(a82,a13)) = a69,
    inference(spm,[status(thm)],[c_0_147,c_0_1315]) ).

cnf(c_0_1347,plain,
    a82 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1316,c_0_1073]),c_0_569]),c_0_1184]) ).

cnf(c_0_1348,plain,
    product(product(a122,a33),product(a14,a13)) = a118,
    inference(spm,[status(thm)],[c_0_147,c_0_1317]) ).

cnf(c_0_1349,plain,
    a122 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_877,c_0_878]),c_0_879]) ).

cnf(c_0_1350,plain,
    product(a83,a110) = a79,
    inference(spm,[status(thm)],[c_0_147,c_0_578]) ).

cnf(c_0_1351,plain,
    a79 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1318,c_0_1319]),c_0_1077]) ).

cnf(c_0_1352,plain,
    product(a68,a13) = a78,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_1296]),c_0_1297]),c_0_1298]) ).

cnf(c_0_1353,plain,
    a78 = a113,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1320]),c_0_193]) ).

cnf(c_0_1354,plain,
    product(a68,a39) = a84,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1115,c_0_1129]),c_0_1321]) ).

cnf(c_0_1355,plain,
    a74 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1322,c_0_1200]),c_0_667]),c_0_1230]) ).

cnf(c_0_1356,plain,
    product(a108,a110) = a112,
    inference(rw,[status(thm)],[c_0_390,c_0_524]) ).

cnf(c_0_1357,plain,
    a112 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1323,c_0_1298]),c_0_1077]) ).

cnf(c_0_1358,plain,
    product(product(a111,a13),product(a114,a32)) = a120,
    inference(spm,[status(thm)],[c_0_147,c_0_527]) ).

cnf(c_0_1359,plain,
    product(product(a111,a13),a69) = product(a123,a32),
    inference(rw,[status(thm)],[c_0_1324,c_0_1325]) ).

cnf(c_0_1360,plain,
    a30 = a32,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1326,c_0_1012]),c_0_983]),c_0_147]) ).

cnf(c_0_1361,plain,
    product(a14,a39) = a22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_979,c_0_1018]),c_0_1197]),c_0_1327]) ).

cnf(c_0_1362,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),
    c_0_1328 ).

cnf(c_0_1363,plain,
    a6 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1303,c_0_1329]),c_0_1330]),c_0_193]) ).

cnf(c_0_1364,plain,
    a135 = a58,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_1306]),c_0_1331]) ).

cnf(c_0_1365,plain,
    a9 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1332,c_0_1333]),c_0_1303]),c_0_1329]) ).

cnf(c_0_1366,plain,
    a55 = a135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_918,c_0_934]),c_0_193]) ).

cnf(c_0_1367,plain,
    a56 = a134,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1334,c_0_931]),c_0_193]) ).

cnf(c_0_1368,plain,
    a36 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1335,c_0_1053]),c_0_1088]),c_0_1225]),c_0_1226]),c_0_193]) ).

cnf(c_0_1369,plain,
    a12 = 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)],[c_0_1336,c_0_1018]),c_0_193]),c_0_1018]),c_0_1337]),c_0_1032]),c_0_1088]),c_0_1197]),c_0_193]) ).

cnf(c_0_1370,plain,
    a31 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1169,c_0_1068]),c_0_1088]),c_0_1200]),c_0_193]) ).

cnf(c_0_1371,plain,
    a18 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1338,c_0_1311]),c_0_193]) ).

cnf(c_0_1372,plain,
    a25 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1339,c_0_1135]),c_0_1151]),c_0_1171]),c_0_1284]),c_0_193]) ).

cnf(c_0_1373,plain,
    a34 = a14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1340,c_0_1341]),c_0_193]) ).

cnf(c_0_1374,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)],[inference(rw,[status(thm)],[c_0_1292,c_0_1034]),c_0_1064]),c_0_1342]),c_0_1135]),c_0_1151]),c_0_1171]),c_0_1042]),c_0_1053]),c_0_1088]),c_0_193]) ).

cnf(c_0_1375,plain,
    a43 = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1343,c_0_1226]),c_0_1312]),c_0_1340]) ).

cnf(c_0_1376,plain,
    a50 = a34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1344,c_0_1284]),c_0_1340]) ).

cnf(c_0_1377,plain,
    a95 = a127,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1345,c_0_898]),c_0_193]) ).

cnf(c_0_1378,plain,
    a67 = a68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_748,c_0_853]),c_0_1178]),c_0_193]) ).

cnf(c_0_1379,plain,
    a69 = 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1346,c_0_1088]),c_0_1297]),c_0_1298]),c_0_1068]),c_0_1088]),c_0_1185]),c_0_1347]),c_0_1321]),c_0_1185]),c_0_193]) ).

cnf(c_0_1380,plain,
    a118 = a70,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1348,c_0_1349]),c_0_1077]) ).

cnf(c_0_1381,plain,
    a72 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1350,c_0_1073]),c_0_554]),c_0_565]),c_0_1351]) ).

cnf(c_0_1382,plain,
    a109 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_1073]),c_0_156]),c_0_1184]) ).

cnf(c_0_1383,plain,
    a73 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_570,c_0_1073]),c_0_587]),c_0_1073]),c_0_193]) ).

cnf(c_0_1384,plain,
    a113 = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_1068]),c_0_1352]),c_0_1353]) ).

cnf(c_0_1385,plain,
    a84 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1354,c_0_1200]),c_0_1185]),c_0_1355]) ).

cnf(c_0_1386,plain,
    a85 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_1024]),c_0_277]),c_0_1094]),c_0_1095]) ).

cnf(c_0_1387,plain,
    a111 = a70,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1356,c_0_1073]),c_0_338]),c_0_1357]) ).

cnf(c_0_1388,plain,
    a120 = a69,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1358,c_0_1298]),c_0_146]),c_0_1359]),c_0_881]),c_0_878]),c_0_879]),c_0_146]) ).

cnf(c_0_1389,plain,
    a125 = a65,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_884]),c_0_193]) ).

cnf(c_0_1390,plain,
    a129 = a62,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_888,c_0_905]),c_0_193]) ).

cnf(c_0_1391,plain,
    a22 = a31,
    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_1148,c_0_1360]),c_0_1169]),c_0_1068]),c_0_1088]),c_0_1237]),c_0_1361]) ).

cnf(c_0_1392,negated_conjecture,
    $false,
    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    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : TOP052-1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 10:45:36 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.W1pnHOxlRI/E---3.1_25591.p
% 19.59/3.00  # Version: 3.1.0
% 19.59/3.00  # Preprocessing class: FSLMSMSLSSSNFFN.
% 19.59/3.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.59/3.00  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 19.59/3.00  # Starting new_bool_3 with 600s (2) cores
% 19.59/3.00  # Starting new_bool_1 with 600s (2) cores
% 19.59/3.00  # Starting sh5l with 300s (1) cores
% 19.59/3.00  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 25673 completed with status 0
% 19.59/3.00  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 19.59/3.00  # Preprocessing class: FSLMSMSLSSSNFFN.
% 19.59/3.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.59/3.00  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 19.59/3.00  # No SInE strategy applied
% 19.59/3.00  # Search class: FUUPS-FFMM33-SFFFFFNN
% 19.59/3.00  # partial match(2): FGUPS-FFMM32-SFFFFFNN
% 19.59/3.00  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 19.59/3.00  # Starting G-E--_024_B31_F1_PI_AE_Q4_CS_SP_S2S with 487s (1) cores
% 19.59/3.00  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 19.59/3.00  # Starting new_bool_3 with 82s (1) cores
% 19.59/3.00  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 25679 completed with status 0
% 19.59/3.00  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 19.59/3.00  # Preprocessing class: FSLMSMSLSSSNFFN.
% 19.59/3.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.59/3.00  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 19.59/3.00  # No SInE strategy applied
% 19.59/3.00  # Search class: FUUPS-FFMM33-SFFFFFNN
% 19.59/3.00  # partial match(2): FGUPS-FFMM32-SFFFFFNN
% 19.59/3.00  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 19.59/3.00  # Starting G-E--_024_B31_F1_PI_AE_Q4_CS_SP_S2S with 487s (1) cores
% 19.59/3.00  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 19.59/3.00  # Preprocessing time       : 0.002 s
% 19.59/3.00  
% 19.59/3.00  # Proof found!
% 19.59/3.00  # SZS status Unsatisfiable
% 19.59/3.00  # SZS output start CNFRefutation
% See solution above
% 19.59/3.00  # Parsed axioms                        : 145
% 19.59/3.00  # Removed by relevancy pruning/SinE    : 0
% 19.59/3.00  # Initial clauses                      : 145
% 19.59/3.00  # Removed in clause preprocessing      : 0
% 19.59/3.00  # Initial clauses in saturation        : 145
% 19.59/3.00  # Processed clauses                    : 10989
% 19.59/3.00  # ...of these trivial                  : 4700
% 19.59/3.00  # ...subsumed                          : 0
% 19.59/3.00  # ...remaining for further processing  : 6288
% 19.59/3.00  # Other redundant clauses eliminated   : 0
% 19.59/3.00  # Clauses deleted for lack of memory   : 0
% 19.59/3.00  # Backward-subsumed                    : 0
% 19.59/3.00  # Backward-rewritten                   : 6082
% 19.59/3.00  # Generated clauses                    : 178091
% 19.59/3.00  # ...of the previous two non-redundant : 159534
% 19.59/3.00  # ...aggressively subsumed             : 0
% 19.59/3.00  # Contextual simplify-reflections      : 0
% 19.59/3.00  # Paramodulations                      : 178091
% 19.59/3.00  # Factorizations                       : 0
% 19.59/3.00  # NegExts                              : 0
% 19.59/3.00  # Equation resolutions                 : 0
% 19.59/3.00  # Disequality decompositions           : 0
% 19.59/3.00  # Total rewrite steps                  : 295055
% 19.59/3.00  # ...of those cached                   : 262643
% 19.59/3.00  # Propositional unsat checks           : 0
% 19.59/3.00  #    Propositional check models        : 0
% 19.59/3.00  #    Propositional check unsatisfiable : 0
% 19.59/3.00  #    Propositional clauses             : 0
% 19.59/3.00  #    Propositional clauses after purity: 0
% 19.59/3.00  #    Propositional unsat core size     : 0
% 19.59/3.00  #    Propositional preprocessing time  : 0.000
% 19.59/3.00  #    Propositional encoding time       : 0.000
% 19.59/3.00  #    Propositional solver time         : 0.000
% 19.59/3.00  #    Success case prop preproc time    : 0.000
% 19.59/3.00  #    Success case prop encoding time   : 0.000
% 19.59/3.00  #    Success case prop solver time     : 0.000
% 19.59/3.00  # Current number of processed clauses  : 206
% 19.59/3.00  #    Positive orientable unit clauses  : 202
% 19.59/3.00  #    Positive unorientable unit clauses: 4
% 19.59/3.00  #    Negative unit clauses             : 0
% 19.59/3.00  #    Non-unit-clauses                  : 0
% 19.59/3.00  # Current number of unprocessed clauses: 95917
% 19.59/3.00  # ...number of literals in the above   : 95917
% 19.59/3.00  # Current number of archived formulas  : 0
% 19.59/3.00  # Current number of archived clauses   : 6082
% 19.59/3.00  # Clause-clause subsumption calls (NU) : 0
% 19.59/3.00  # Rec. Clause-clause subsumption calls : 0
% 19.59/3.00  # Non-unit clause-clause subsumptions  : 0
% 19.59/3.00  # Unit Clause-clause subsumption calls : 3818
% 19.59/3.00  # Rewrite failures with RHS unbound    : 0
% 19.59/3.00  # BW rewrite match attempts            : 6988
% 19.59/3.00  # BW rewrite match successes           : 1217
% 19.59/3.00  # Condensation attempts                : 0
% 19.59/3.00  # Condensation successes               : 0
% 19.59/3.00  # Termbank termtop insertions          : 3984091
% 19.59/3.00  # Search garbage collected termcells   : 2
% 19.59/3.00  
% 19.59/3.00  # -------------------------------------------------
% 19.59/3.00  # User time                : 2.313 s
% 19.59/3.00  # System time              : 0.096 s
% 19.59/3.00  # Total time               : 2.409 s
% 19.59/3.00  # Maximum resident set size: 2288 pages
% 19.59/3.00  
% 19.59/3.00  # -------------------------------------------------
% 19.59/3.00  # User time                : 6.979 s
% 19.59/3.00  # System time              : 0.220 s
% 19.59/3.00  # Total time               : 7.200 s
% 19.59/3.00  # Maximum resident set size: 2148 pages
% 19.59/3.00  % E---3.1 exiting
% 19.59/3.00  % E exiting
%------------------------------------------------------------------------------