TSTP Solution File: TOP052-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP052-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 : 600s
% DateTime : Thu Jul 21 21:35:04 EDT 2022
% Result : Unsatisfiable 193.57s 193.77s
% Output : Refutation 193.57s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(product(u,u),u),
file('TOP052-1.p',unknown),
[] ).
cnf(2,axiom,
equal(product(product(u,v),v),u),
file('TOP052-1.p',unknown),
[] ).
cnf(3,axiom,
equal(product(product(u,v),product(w,v)),product(product(u,w),v)),
file('TOP052-1.p',unknown),
[] ).
cnf(4,axiom,
equal(product(a1,a42),a2),
file('TOP052-1.p',unknown),
[] ).
cnf(5,axiom,
equal(product(a2,a41),a3),
file('TOP052-1.p',unknown),
[] ).
cnf(6,axiom,
equal(product(a3,a14),a4),
file('TOP052-1.p',unknown),
[] ).
cnf(7,axiom,
equal(product(a4,a39),a5),
file('TOP052-1.p',unknown),
[] ).
cnf(8,axiom,
equal(product(a5,a136),a6),
file('TOP052-1.p',unknown),
[] ).
cnf(9,axiom,
equal(product(a6,a52),a7),
file('TOP052-1.p',unknown),
[] ).
cnf(10,axiom,
equal(product(a7,a17),a8),
file('TOP052-1.p',unknown),
[] ).
cnf(11,axiom,
equal(product(a8,a56),a9),
file('TOP052-1.p',unknown),
[] ).
cnf(12,axiom,
equal(product(a9,a134),a10),
file('TOP052-1.p',unknown),
[] ).
cnf(13,axiom,
equal(product(a10,a37),a11),
file('TOP052-1.p',unknown),
[] ).
cnf(14,axiom,
equal(product(a11,a21),a12),
file('TOP052-1.p',unknown),
[] ).
cnf(15,axiom,
equal(product(a12,a23),a13),
file('TOP052-1.p',unknown),
[] ).
cnf(16,axiom,
equal(product(a13,a32),a14),
file('TOP052-1.p',unknown),
[] ).
cnf(17,axiom,
equal(product(a14,a53),a15),
file('TOP052-1.p',unknown),
[] ).
cnf(18,axiom,
equal(product(a15,a136),a16),
file('TOP052-1.p',unknown),
[] ).
cnf(20,axiom,
equal(product(a17,a133),a18),
file('TOP052-1.p',unknown),
[] ).
cnf(21,axiom,
equal(product(a18,a58),a19),
file('TOP052-1.p',unknown),
[] ).
cnf(22,axiom,
equal(product(a19,a26),a20),
file('TOP052-1.p',unknown),
[] ).
cnf(23,axiom,
equal(product(a20,a35),a21),
file('TOP052-1.p',unknown),
[] ).
cnf(24,axiom,
equal(product(a21,a141),a22),
file('TOP052-1.p',unknown),
[] ).
cnf(25,axiom,
equal(product(a22,a45),a23),
file('TOP052-1.p',unknown),
[] ).
cnf(26,axiom,
equal(product(a23,a35),a24),
file('TOP052-1.p',unknown),
[] ).
cnf(27,axiom,
equal(product(a24,a49),a25),
file('TOP052-1.p',unknown),
[] ).
cnf(28,axiom,
equal(product(a25,a138),a26),
file('TOP052-1.p',unknown),
[] ).
cnf(29,axiom,
equal(product(a26,a8),a27),
file('TOP052-1.p',unknown),
[] ).
cnf(30,axiom,
equal(product(a27,a37),a28),
file('TOP052-1.p',unknown),
[] ).
cnf(31,axiom,
equal(product(a28,a17),a29),
file('TOP052-1.p',unknown),
[] ).
cnf(32,axiom,
equal(product(a29,a14),a30),
file('TOP052-1.p',unknown),
[] ).
cnf(33,axiom,
equal(product(a30,a5),a31),
file('TOP052-1.p',unknown),
[] ).
cnf(34,axiom,
equal(product(a31,a39),a32),
file('TOP052-1.p',unknown),
[] ).
cnf(35,axiom,
equal(product(a32,a13),a33),
file('TOP052-1.p',unknown),
[] ).
cnf(36,axiom,
equal(product(a33,a131),a34),
file('TOP052-1.p',unknown),
[] ).
cnf(37,axiom,
equal(product(a34,a60),a35),
file('TOP052-1.p',unknown),
[] ).
cnf(38,axiom,
equal(product(a35,a139),a36),
file('TOP052-1.p',unknown),
[] ).
cnf(39,axiom,
equal(product(a36,a47),a37),
file('TOP052-1.p',unknown),
[] ).
cnf(40,axiom,
equal(product(a37,a17),a38),
file('TOP052-1.p',unknown),
[] ).
cnf(41,axiom,
equal(product(a38,a7),a39),
file('TOP052-1.p',unknown),
[] ).
cnf(42,axiom,
equal(product(a39,a4),a40),
file('TOP052-1.p',unknown),
[] ).
cnf(43,axiom,
equal(product(a40,a14),a41),
file('TOP052-1.p',unknown),
[] ).
cnf(44,axiom,
equal(product(a41,a2),a42),
file('TOP052-1.p',unknown),
[] ).
cnf(45,axiom,
equal(product(a42,a62),a43),
file('TOP052-1.p',unknown),
[] ).
cnf(46,axiom,
equal(product(a43,a128),a44),
file('TOP052-1.p',unknown),
[] ).
cnf(47,axiom,
equal(product(a44,a23),a45),
file('TOP052-1.p',unknown),
[] ).
cnf(48,axiom,
equal(product(a45,a141),a46),
file('TOP052-1.p',unknown),
[] ).
cnf(49,axiom,
equal(product(a46,a11),a47),
file('TOP052-1.p',unknown),
[] ).
cnf(50,axiom,
equal(product(a47,a20),a48),
file('TOP052-1.p',unknown),
[] ).
cnf(51,axiom,
equal(product(a48,a138),a49),
file('TOP052-1.p',unknown),
[] ).
cnf(52,axiom,
equal(product(a49,a131),a50),
file('TOP052-1.p',unknown),
[] ).
cnf(53,axiom,
equal(product(a50,a59),a51),
file('TOP052-1.p',unknown),
[] ).
cnf(54,axiom,
equal(product(a51,a39),a52),
file('TOP052-1.p',unknown),
[] ).
cnf(55,axiom,
equal(product(a52,a136),a53),
file('TOP052-1.p',unknown),
[] ).
cnf(56,axiom,
equal(product(a53,a29),a54),
file('TOP052-1.p',unknown),
[] ).
cnf(57,axiom,
equal(product(a54,a135),a55),
file('TOP052-1.p',unknown),
[] ).
cnf(58,axiom,
equal(product(a55,a37),a56),
file('TOP052-1.p',unknown),
[] ).
cnf(59,axiom,
equal(product(a56,a134),a57),
file('TOP052-1.p',unknown),
[] ).
cnf(60,axiom,
equal(product(a57,a26),a58),
file('TOP052-1.p',unknown),
[] ).
cnf(61,axiom,
equal(product(a58,a138),a59),
file('TOP052-1.p',unknown),
[] ).
cnf(62,axiom,
equal(product(a59,a131),a60),
file('TOP052-1.p',unknown),
[] ).
cnf(63,axiom,
equal(product(a60,a13),a61),
file('TOP052-1.p',unknown),
[] ).
cnf(64,axiom,
equal(product(a61,a1),a62),
file('TOP052-1.p',unknown),
[] ).
cnf(65,axiom,
equal(product(a62,a96),a63),
file('TOP052-1.p',unknown),
[] ).
cnf(66,axiom,
equal(product(a63,a127),a64),
file('TOP052-1.p',unknown),
[] ).
cnf(67,axiom,
equal(product(a64,a41),a65),
file('TOP052-1.p',unknown),
[] ).
cnf(68,axiom,
equal(product(a65,a2),a66),
file('TOP052-1.p',unknown),
[] ).
cnf(69,axiom,
equal(product(a66,a92),a67),
file('TOP052-1.p',unknown),
[] ).
cnf(70,axiom,
equal(product(a67,a98),a68),
file('TOP052-1.p',unknown),
[] ).
cnf(71,axiom,
equal(product(a68,a32),a69),
file('TOP052-1.p',unknown),
[] ).
cnf(72,axiom,
equal(product(a69,a13),a70),
file('TOP052-1.p',unknown),
[] ).
cnf(73,axiom,
equal(product(a70,a118),a71),
file('TOP052-1.p',unknown),
[] ).
cnf(74,axiom,
equal(product(a71,a109),a72),
file('TOP052-1.p',unknown),
[] ).
cnf(75,axiom,
equal(product(a72,a82),a73),
file('TOP052-1.p',unknown),
[] ).
cnf(76,axiom,
equal(product(a73,a32),a74),
file('TOP052-1.p',unknown),
[] ).
cnf(77,axiom,
equal(product(a74,a14),a75),
file('TOP052-1.p',unknown),
[] ).
cnf(78,axiom,
equal(product(a75,a68),a76),
file('TOP052-1.p',unknown),
[] ).
cnf(79,axiom,
equal(product(a76,a114),a77),
file('TOP052-1.p',unknown),
[] ).
cnf(80,axiom,
equal(product(a77,a13),a78),
file('TOP052-1.p',unknown),
[] ).
cnf(81,axiom,
equal(product(a78,a33),a79),
file('TOP052-1.p',unknown),
[] ).
cnf(82,axiom,
equal(product(a79,a119),a80),
file('TOP052-1.p',unknown),
[] ).
cnf(83,axiom,
equal(product(a80,a70),a81),
file('TOP052-1.p',unknown),
[] ).
cnf(84,axiom,
equal(product(a81,a109),a82),
file('TOP052-1.p',unknown),
[] ).
cnf(85,axiom,
equal(product(a82,a118),a83),
file('TOP052-1.p',unknown),
[] ).
cnf(86,axiom,
equal(product(a83,a39),a84),
file('TOP052-1.p',unknown),
[] ).
cnf(87,axiom,
equal(product(a84,a5),a85),
file('TOP052-1.p',unknown),
[] ).
cnf(88,axiom,
equal(product(a85,a30),a86),
file('TOP052-1.p',unknown),
[] ).
cnf(89,axiom,
equal(product(a86,a104),a87),
file('TOP052-1.p',unknown),
[] ).
cnf(90,axiom,
equal(product(a87,a4),a88),
file('TOP052-1.p',unknown),
[] ).
cnf(91,axiom,
equal(product(a88,a14),a89),
file('TOP052-1.p',unknown),
[] ).
cnf(92,axiom,
equal(product(a89,a41),a90),
file('TOP052-1.p',unknown),
[] ).
cnf(93,axiom,
equal(product(a90,a100),a91),
file('TOP052-1.p',unknown),
[] ).
cnf(94,axiom,
equal(product(a91,a124),a92),
file('TOP052-1.p',unknown),
[] ).
cnf(95,axiom,
equal(product(a92,a2),a93),
file('TOP052-1.p',unknown),
[] ).
cnf(96,axiom,
equal(product(a93,a41),a94),
file('TOP052-1.p',unknown),
[] ).
cnf(97,axiom,
equal(product(a94,a127),a95),
file('TOP052-1.p',unknown),
[] ).
cnf(98,axiom,
equal(product(a95,a64),a96),
file('TOP052-1.p',unknown),
[] ).
cnf(99,axiom,
equal(product(a96,a42),a97),
file('TOP052-1.p',unknown),
[] ).
cnf(100,axiom,
equal(product(a97,a1),a98),
file('TOP052-1.p',unknown),
[] ).
cnf(101,axiom,
equal(product(a98,a92),a99),
file('TOP052-1.p',unknown),
[] ).
cnf(102,axiom,
equal(product(a99,a124),a100),
file('TOP052-1.p',unknown),
[] ).
cnf(103,axiom,
equal(product(a100,a14),a101),
file('TOP052-1.p',unknown),
[] ).
cnf(104,axiom,
equal(product(a101,a40),a102),
file('TOP052-1.p',unknown),
[] ).
cnf(105,axiom,
equal(product(a102,a4),a103),
file('TOP052-1.p',unknown),
[] ).
cnf(106,axiom,
equal(product(a103,a87),a104),
file('TOP052-1.p',unknown),
[] ).
cnf(107,axiom,
equal(product(a104,a30),a105),
file('TOP052-1.p',unknown),
[] ).
cnf(108,axiom,
equal(product(a105,a5),a106),
file('TOP052-1.p',unknown),
[] ).
cnf(109,axiom,
equal(product(a106,a84),a107),
file('TOP052-1.p',unknown),
[] ).
cnf(110,axiom,
equal(product(a107,a39),a108),
file('TOP052-1.p',unknown),
[] ).
cnf(111,axiom,
equal(product(a108,a118),a109),
file('TOP052-1.p',unknown),
[] ).
cnf(112,axiom,
equal(product(a109,a70),a110),
file('TOP052-1.p',unknown),
[] ).
cnf(113,axiom,
equal(product(a110,a119),a111),
file('TOP052-1.p',unknown),
[] ).
cnf(114,axiom,
equal(product(a111,a79),a112),
file('TOP052-1.p',unknown),
[] ).
cnf(115,axiom,
equal(product(a112,a33),a113),
file('TOP052-1.p',unknown),
[] ).
cnf(116,axiom,
equal(product(a113,a13),a114),
file('TOP052-1.p',unknown),
[] ).
cnf(117,axiom,
equal(product(a114,a68),a115),
file('TOP052-1.p',unknown),
[] ).
cnf(118,axiom,
equal(product(a115,a14),a116),
file('TOP052-1.p',unknown),
[] ).
cnf(119,axiom,
equal(product(a116,a74),a117),
file('TOP052-1.p',unknown),
[] ).
cnf(120,axiom,
equal(product(a117,a32),a118),
file('TOP052-1.p',unknown),
[] ).
cnf(121,axiom,
equal(product(a118,a70),a119),
file('TOP052-1.p',unknown),
[] ).
cnf(122,axiom,
equal(product(a119,a13),a120),
file('TOP052-1.p',unknown),
[] ).
cnf(123,axiom,
equal(product(a120,a32),a121),
file('TOP052-1.p',unknown),
[] ).
cnf(124,axiom,
equal(product(a121,a68),a122),
file('TOP052-1.p',unknown),
[] ).
cnf(125,axiom,
equal(product(a122,a115),a123),
file('TOP052-1.p',unknown),
[] ).
cnf(126,axiom,
equal(product(a123,a75),a124),
file('TOP052-1.p',unknown),
[] ).
cnf(127,axiom,
equal(product(a124,a2),a125),
file('TOP052-1.p',unknown),
[] ).
cnf(128,axiom,
equal(product(a125,a65),a126),
file('TOP052-1.p',unknown),
[] ).
cnf(129,axiom,
equal(product(a126,a41),a127),
file('TOP052-1.p',unknown),
[] ).
cnf(130,axiom,
equal(product(a127,a96),a128),
file('TOP052-1.p',unknown),
[] ).
cnf(131,axiom,
equal(product(a128,a62),a129),
file('TOP052-1.p',unknown),
[] ).
cnf(132,axiom,
equal(product(a129,a1),a130),
file('TOP052-1.p',unknown),
[] ).
cnf(133,axiom,
equal(product(a130,a13),a131),
file('TOP052-1.p',unknown),
[] ).
cnf(134,axiom,
equal(product(a131,a138),a132),
file('TOP052-1.p',unknown),
[] ).
cnf(135,axiom,
equal(product(a132,a58),a133),
file('TOP052-1.p',unknown),
[] ).
cnf(136,axiom,
equal(product(a133,a26),a134),
file('TOP052-1.p',unknown),
[] ).
cnf(137,axiom,
equal(product(a134,a37),a135),
file('TOP052-1.p',unknown),
[] ).
cnf(138,axiom,
equal(product(a135,a29),a136),
file('TOP052-1.p',unknown),
[] ).
cnf(139,axiom,
equal(product(a136,a39),a137),
file('TOP052-1.p',unknown),
[] ).
cnf(140,axiom,
equal(product(a137,a51),a138),
file('TOP052-1.p',unknown),
[] ).
cnf(141,axiom,
equal(product(a138,a20),a139),
file('TOP052-1.p',unknown),
[] ).
cnf(142,axiom,
equal(product(a139,a47),a140),
file('TOP052-1.p',unknown),
[] ).
cnf(143,axiom,
equal(product(a140,a11),a141),
file('TOP052-1.p',unknown),
[] ).
cnf(144,axiom,
equal(product(a141,a23),a1),
file('TOP052-1.p',unknown),
[] ).
cnf(145,axiom,
~ equal(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('TOP052-1.p',unknown),
[] ).
cnf(291,plain,
equal(product(a45,a23),a44),
inference(spr,[status(thm),theory(equality)],[47,2]),
[iquote('0:SpR:47.0,2.0')] ).
cnf(294,plain,
equal(product(a47,a11),a46),
inference(spr,[status(thm),theory(equality)],[49,2]),
[iquote('0:SpR:49.0,2.0')] ).
cnf(295,plain,
equal(product(a140,a47),a139),
inference(spr,[status(thm),theory(equality)],[142,2]),
[iquote('0:SpR:142.0,2.0')] ).
cnf(296,plain,
equal(product(a37,a47),a36),
inference(spr,[status(thm),theory(equality)],[39,2]),
[iquote('0:SpR:39.0,2.0')] ).
cnf(298,plain,
equal(product(a48,a20),a47),
inference(spr,[status(thm),theory(equality)],[50,2]),
[iquote('0:SpR:50.0,2.0')] ).
cnf(301,plain,
equal(product(a108,a39),a107),
inference(spr,[status(thm),theory(equality)],[110,2]),
[iquote('0:SpR:110.0,2.0')] ).
cnf(302,plain,
equal(product(a84,a39),a83),
inference(spr,[status(thm),theory(equality)],[86,2]),
[iquote('0:SpR:86.0,2.0')] ).
cnf(303,plain,
equal(product(a52,a39),a51),
inference(spr,[status(thm),theory(equality)],[54,2]),
[iquote('0:SpR:54.0,2.0')] ).
cnf(304,plain,
equal(product(a32,a39),a31),
inference(spr,[status(thm),theory(equality)],[34,2]),
[iquote('0:SpR:34.0,2.0')] ).
cnf(305,plain,
equal(product(a5,a39),a4),
inference(spr,[status(thm),theory(equality)],[7,2]),
[iquote('0:SpR:7.0,2.0')] ).
cnf(306,plain,
equal(product(a136,a29),a135),
inference(spr,[status(thm),theory(equality)],[138,2]),
[iquote('0:SpR:138.0,2.0')] ).
cnf(307,plain,
equal(product(a54,a29),a53),
inference(spr,[status(thm),theory(equality)],[56,2]),
[iquote('0:SpR:56.0,2.0')] ).
cnf(310,plain,
equal(product(a56,a37),a55),
inference(spr,[status(thm),theory(equality)],[58,2]),
[iquote('0:SpR:58.0,2.0')] ).
cnf(314,plain,
equal(product(a58,a26),a57),
inference(spr,[status(thm),theory(equality)],[60,2]),
[iquote('0:SpR:60.0,2.0')] ).
cnf(315,plain,
equal(product(a20,a26),a19),
inference(spr,[status(thm),theory(equality)],[22,2]),
[iquote('0:SpR:22.0,2.0')] ).
cnf(318,plain,
equal(product(a132,a138),a131),
inference(spr,[status(thm),theory(equality)],[134,2]),
[iquote('0:SpR:134.0,2.0')] ).
cnf(319,plain,
equal(product(a59,a138),a58),
inference(spr,[status(thm),theory(equality)],[61,2]),
[iquote('0:SpR:61.0,2.0')] ).
cnf(320,plain,
equal(product(a49,a138),a48),
inference(spr,[status(thm),theory(equality)],[51,2]),
[iquote('0:SpR:51.0,2.0')] ).
cnf(321,plain,
equal(product(a26,a138),a25),
inference(spr,[status(thm),theory(equality)],[28,2]),
[iquote('0:SpR:28.0,2.0')] ).
cnf(322,plain,
equal(product(a131,a13),a130),
inference(spr,[status(thm),theory(equality)],[133,2]),
[iquote('0:SpR:133.0,2.0')] ).
cnf(324,plain,
equal(product(a114,a13),a113),
inference(spr,[status(thm),theory(equality)],[116,2]),
[iquote('0:SpR:116.0,2.0')] ).
cnf(325,plain,
equal(product(a78,a13),a77),
inference(spr,[status(thm),theory(equality)],[80,2]),
[iquote('0:SpR:80.0,2.0')] ).
cnf(326,plain,
equal(product(a70,a13),a69),
inference(spr,[status(thm),theory(equality)],[72,2]),
[iquote('0:SpR:72.0,2.0')] ).
cnf(327,plain,
equal(product(a61,a13),a60),
inference(spr,[status(thm),theory(equality)],[63,2]),
[iquote('0:SpR:63.0,2.0')] ).
cnf(328,plain,
equal(product(a33,a13),a32),
inference(spr,[status(thm),theory(equality)],[35,2]),
[iquote('0:SpR:35.0,2.0')] ).
cnf(330,plain,
equal(product(a98,a1),a97),
inference(spr,[status(thm),theory(equality)],[100,2]),
[iquote('0:SpR:100.0,2.0')] ).
cnf(331,plain,
equal(product(a62,a1),a61),
inference(spr,[status(thm),theory(equality)],[64,2]),
[iquote('0:SpR:64.0,2.0')] ).
cnf(333,plain,
equal(product(a43,a62),a42),
inference(spr,[status(thm),theory(equality)],[45,2]),
[iquote('0:SpR:45.0,2.0')] ).
cnf(335,plain,
equal(product(a63,a96),a62),
inference(spr,[status(thm),theory(equality)],[65,2]),
[iquote('0:SpR:65.0,2.0')] ).
cnf(336,plain,
equal(product(a127,a41),a126),
inference(spr,[status(thm),theory(equality)],[129,2]),
[iquote('0:SpR:129.0,2.0')] ).
cnf(338,plain,
equal(product(a90,a41),a89),
inference(spr,[status(thm),theory(equality)],[92,2]),
[iquote('0:SpR:92.0,2.0')] ).
cnf(339,plain,
equal(product(a65,a41),a64),
inference(spr,[status(thm),theory(equality)],[67,2]),
[iquote('0:SpR:67.0,2.0')] ).
cnf(342,plain,
equal(product(a125,a2),a124),
inference(spr,[status(thm),theory(equality)],[127,2]),
[iquote('0:SpR:127.0,2.0')] ).
cnf(344,plain,
equal(product(a66,a2),a65),
inference(spr,[status(thm),theory(equality)],[68,2]),
[iquote('0:SpR:68.0,2.0')] ).
cnf(345,plain,
equal(product(a42,a2),a41),
inference(spr,[status(thm),theory(equality)],[44,2]),
[iquote('0:SpR:44.0,2.0')] ).
cnf(346,plain,
equal(product(a124,a75),a123),
inference(spr,[status(thm),theory(equality)],[126,2]),
[iquote('0:SpR:126.0,2.0')] ).
cnf(347,plain,
equal(product(a123,a115),a122),
inference(spr,[status(thm),theory(equality)],[125,2]),
[iquote('0:SpR:125.0,2.0')] ).
cnf(348,plain,
equal(product(a122,a68),a121),
inference(spr,[status(thm),theory(equality)],[124,2]),
[iquote('0:SpR:124.0,2.0')] ).
cnf(349,plain,
equal(product(a115,a68),a114),
inference(spr,[status(thm),theory(equality)],[117,2]),
[iquote('0:SpR:117.0,2.0')] ).
cnf(350,plain,
equal(product(a76,a68),a75),
inference(spr,[status(thm),theory(equality)],[78,2]),
[iquote('0:SpR:78.0,2.0')] ).
cnf(351,plain,
equal(product(a121,a32),a120),
inference(spr,[status(thm),theory(equality)],[123,2]),
[iquote('0:SpR:123.0,2.0')] ).
cnf(352,plain,
equal(product(a118,a32),a117),
inference(spr,[status(thm),theory(equality)],[120,2]),
[iquote('0:SpR:120.0,2.0')] ).
cnf(353,plain,
equal(product(a74,a32),a73),
inference(spr,[status(thm),theory(equality)],[76,2]),
[iquote('0:SpR:76.0,2.0')] ).
cnf(354,plain,
equal(product(a69,a32),a68),
inference(spr,[status(thm),theory(equality)],[71,2]),
[iquote('0:SpR:71.0,2.0')] ).
cnf(355,plain,
equal(product(a14,a32),a13),
inference(spr,[status(thm),theory(equality)],[16,2]),
[iquote('0:SpR:16.0,2.0')] ).
cnf(356,plain,
equal(product(a119,a70),a118),
inference(spr,[status(thm),theory(equality)],[121,2]),
[iquote('0:SpR:121.0,2.0')] ).
cnf(357,plain,
equal(product(a110,a70),a109),
inference(spr,[status(thm),theory(equality)],[112,2]),
[iquote('0:SpR:112.0,2.0')] ).
cnf(358,plain,
equal(product(a81,a70),a80),
inference(spr,[status(thm),theory(equality)],[83,2]),
[iquote('0:SpR:83.0,2.0')] ).
cnf(359,plain,
equal(product(a117,a74),a116),
inference(spr,[status(thm),theory(equality)],[119,2]),
[iquote('0:SpR:119.0,2.0')] ).
cnf(360,plain,
equal(product(a116,a14),a115),
inference(spr,[status(thm),theory(equality)],[118,2]),
[iquote('0:SpR:118.0,2.0')] ).
cnf(361,plain,
equal(product(a101,a14),a100),
inference(spr,[status(thm),theory(equality)],[103,2]),
[iquote('0:SpR:103.0,2.0')] ).
cnf(362,plain,
equal(product(a89,a14),a88),
inference(spr,[status(thm),theory(equality)],[91,2]),
[iquote('0:SpR:91.0,2.0')] ).
cnf(363,plain,
equal(product(a75,a14),a74),
inference(spr,[status(thm),theory(equality)],[77,2]),
[iquote('0:SpR:77.0,2.0')] ).
cnf(364,plain,
equal(product(a41,a14),a40),
inference(spr,[status(thm),theory(equality)],[43,2]),
[iquote('0:SpR:43.0,2.0')] ).
cnf(365,plain,
equal(product(a30,a14),a29),
inference(spr,[status(thm),theory(equality)],[32,2]),
[iquote('0:SpR:32.0,2.0')] ).
cnf(366,plain,
equal(product(a4,a14),a3),
inference(spr,[status(thm),theory(equality)],[6,2]),
[iquote('0:SpR:6.0,2.0')] ).
cnf(367,plain,
equal(product(a113,a33),a112),
inference(spr,[status(thm),theory(equality)],[115,2]),
[iquote('0:SpR:115.0,2.0')] ).
cnf(368,plain,
equal(product(a79,a33),a78),
inference(spr,[status(thm),theory(equality)],[81,2]),
[iquote('0:SpR:81.0,2.0')] ).
cnf(369,plain,
equal(product(a112,a79),a111),
inference(spr,[status(thm),theory(equality)],[114,2]),
[iquote('0:SpR:114.0,2.0')] ).
cnf(370,plain,
equal(product(a111,a119),a110),
inference(spr,[status(thm),theory(equality)],[113,2]),
[iquote('0:SpR:113.0,2.0')] ).
cnf(371,plain,
equal(product(a80,a119),a79),
inference(spr,[status(thm),theory(equality)],[82,2]),
[iquote('0:SpR:82.0,2.0')] ).
cnf(372,plain,
equal(product(a109,a118),a108),
inference(spr,[status(thm),theory(equality)],[111,2]),
[iquote('0:SpR:111.0,2.0')] ).
cnf(373,plain,
equal(product(a83,a118),a82),
inference(spr,[status(thm),theory(equality)],[85,2]),
[iquote('0:SpR:85.0,2.0')] ).
cnf(374,plain,
equal(product(a71,a118),a70),
inference(spr,[status(thm),theory(equality)],[73,2]),
[iquote('0:SpR:73.0,2.0')] ).
cnf(375,plain,
equal(product(a107,a84),a106),
inference(spr,[status(thm),theory(equality)],[109,2]),
[iquote('0:SpR:109.0,2.0')] ).
cnf(376,plain,
equal(product(a106,a5),a105),
inference(spr,[status(thm),theory(equality)],[108,2]),
[iquote('0:SpR:108.0,2.0')] ).
cnf(377,plain,
equal(product(a85,a5),a84),
inference(spr,[status(thm),theory(equality)],[87,2]),
[iquote('0:SpR:87.0,2.0')] ).
cnf(378,plain,
equal(product(a31,a5),a30),
inference(spr,[status(thm),theory(equality)],[33,2]),
[iquote('0:SpR:33.0,2.0')] ).
cnf(379,plain,
equal(product(a105,a30),a104),
inference(spr,[status(thm),theory(equality)],[107,2]),
[iquote('0:SpR:107.0,2.0')] ).
cnf(380,plain,
equal(product(a86,a30),a85),
inference(spr,[status(thm),theory(equality)],[88,2]),
[iquote('0:SpR:88.0,2.0')] ).
cnf(381,plain,
equal(product(a104,a87),a103),
inference(spr,[status(thm),theory(equality)],[106,2]),
[iquote('0:SpR:106.0,2.0')] ).
cnf(382,plain,
equal(product(a103,a4),a102),
inference(spr,[status(thm),theory(equality)],[105,2]),
[iquote('0:SpR:105.0,2.0')] ).
cnf(383,plain,
equal(product(a88,a4),a87),
inference(spr,[status(thm),theory(equality)],[90,2]),
[iquote('0:SpR:90.0,2.0')] ).
cnf(384,plain,
equal(product(a40,a4),a39),
inference(spr,[status(thm),theory(equality)],[42,2]),
[iquote('0:SpR:42.0,2.0')] ).
cnf(385,plain,
equal(product(a102,a40),a101),
inference(spr,[status(thm),theory(equality)],[104,2]),
[iquote('0:SpR:104.0,2.0')] ).
cnf(386,plain,
equal(product(a100,a124),a99),
inference(spr,[status(thm),theory(equality)],[102,2]),
[iquote('0:SpR:102.0,2.0')] ).
cnf(387,plain,
equal(product(a92,a124),a91),
inference(spr,[status(thm),theory(equality)],[94,2]),
[iquote('0:SpR:94.0,2.0')] ).
cnf(388,plain,
equal(product(a99,a92),a98),
inference(spr,[status(thm),theory(equality)],[101,2]),
[iquote('0:SpR:101.0,2.0')] ).
cnf(389,plain,
equal(product(a67,a92),a66),
inference(spr,[status(thm),theory(equality)],[69,2]),
[iquote('0:SpR:69.0,2.0')] ).
cnf(391,plain,
equal(product(a2,a42),a1),
inference(spr,[status(thm),theory(equality)],[4,2]),
[iquote('0:SpR:4.0,2.0')] ).
cnf(394,plain,
equal(product(a64,a127),a63),
inference(spr,[status(thm),theory(equality)],[66,2]),
[iquote('0:SpR:66.0,2.0')] ).
cnf(395,plain,
equal(product(a91,a100),a90),
inference(spr,[status(thm),theory(equality)],[93,2]),
[iquote('0:SpR:93.0,2.0')] ).
cnf(397,plain,
equal(product(a82,a109),a81),
inference(spr,[status(thm),theory(equality)],[84,2]),
[iquote('0:SpR:84.0,2.0')] ).
cnf(398,plain,
equal(product(a72,a109),a71),
inference(spr,[status(thm),theory(equality)],[74,2]),
[iquote('0:SpR:74.0,2.0')] ).
cnf(399,plain,
equal(product(a77,a114),a76),
inference(spr,[status(thm),theory(equality)],[79,2]),
[iquote('0:SpR:79.0,2.0')] ).
cnf(400,plain,
equal(product(a73,a82),a72),
inference(spr,[status(thm),theory(equality)],[75,2]),
[iquote('0:SpR:75.0,2.0')] ).
cnf(401,plain,
equal(product(a68,a98),a67),
inference(spr,[status(thm),theory(equality)],[70,2]),
[iquote('0:SpR:70.0,2.0')] ).
cnf(402,plain,
equal(product(a60,a131),a59),
inference(spr,[status(thm),theory(equality)],[62,2]),
[iquote('0:SpR:62.0,2.0')] ).
cnf(403,plain,
equal(product(a50,a131),a49),
inference(spr,[status(thm),theory(equality)],[52,2]),
[iquote('0:SpR:52.0,2.0')] ).
cnf(404,plain,
equal(product(a34,a131),a33),
inference(spr,[status(thm),theory(equality)],[36,2]),
[iquote('0:SpR:36.0,2.0')] ).
cnf(405,plain,
equal(product(a57,a134),a56),
inference(spr,[status(thm),theory(equality)],[59,2]),
[iquote('0:SpR:59.0,2.0')] ).
cnf(407,plain,
equal(product(a55,a135),a54),
inference(spr,[status(thm),theory(equality)],[57,2]),
[iquote('0:SpR:57.0,2.0')] ).
cnf(408,plain,
equal(product(a53,a136),a52),
inference(spr,[status(thm),theory(equality)],[55,2]),
[iquote('0:SpR:55.0,2.0')] ).
cnf(410,plain,
equal(product(a6,a136),a5),
inference(spr,[status(thm),theory(equality)],[8,2]),
[iquote('0:SpR:8.0,2.0')] ).
cnf(412,plain,
equal(product(a46,a141),a45),
inference(spr,[status(thm),theory(equality)],[48,2]),
[iquote('0:SpR:48.0,2.0')] ).
cnf(413,plain,
equal(product(a22,a141),a21),
inference(spr,[status(thm),theory(equality)],[24,2]),
[iquote('0:SpR:24.0,2.0')] ).
cnf(415,plain,
equal(product(a39,a7),a38),
inference(spr,[status(thm),theory(equality)],[41,2]),
[iquote('0:SpR:41.0,2.0')] ).
cnf(416,plain,
equal(product(a38,a17),a37),
inference(spr,[status(thm),theory(equality)],[40,2]),
[iquote('0:SpR:40.0,2.0')] ).
cnf(418,plain,
equal(product(a8,a17),a7),
inference(spr,[status(thm),theory(equality)],[10,2]),
[iquote('0:SpR:10.0,2.0')] ).
cnf(419,plain,
equal(product(a36,a139),a35),
inference(spr,[status(thm),theory(equality)],[38,2]),
[iquote('0:SpR:38.0,2.0')] ).
cnf(420,plain,
equal(product(a35,a60),a34),
inference(spr,[status(thm),theory(equality)],[37,2]),
[iquote('0:SpR:37.0,2.0')] ).
cnf(421,plain,
equal(product(a27,a8),a26),
inference(spr,[status(thm),theory(equality)],[29,2]),
[iquote('0:SpR:29.0,2.0')] ).
cnf(422,plain,
equal(product(a25,a49),a24),
inference(spr,[status(thm),theory(equality)],[27,2]),
[iquote('0:SpR:27.0,2.0')] ).
cnf(424,plain,
equal(product(a21,a35),a20),
inference(spr,[status(thm),theory(equality)],[23,2]),
[iquote('0:SpR:23.0,2.0')] ).
cnf(426,plain,
equal(product(a18,a133),a17),
inference(spr,[status(thm),theory(equality)],[20,2]),
[iquote('0:SpR:20.0,2.0')] ).
cnf(427,plain,
equal(product(a15,a53),a14),
inference(spr,[status(thm),theory(equality)],[17,2]),
[iquote('0:SpR:17.0,2.0')] ).
cnf(428,plain,
equal(product(a12,a21),a11),
inference(spr,[status(thm),theory(equality)],[14,2]),
[iquote('0:SpR:14.0,2.0')] ).
cnf(429,plain,
equal(product(a9,a56),a8),
inference(spr,[status(thm),theory(equality)],[11,2]),
[iquote('0:SpR:11.0,2.0')] ).
cnf(436,plain,
equal(product(product(product(u,v),w),product(x,product(v,w))),product(product(product(u,w),x),product(v,w))),
inference(spr,[status(thm),theory(equality)],[3]),
[iquote('0:SpR:3.0,3.0')] ).
cnf(437,plain,
equal(product(product(u,product(v,w)),product(product(x,v),w)),product(product(u,product(x,w)),product(v,w))),
inference(spr,[status(thm),theory(equality)],[3]),
[iquote('0:SpR:3.0,3.0')] ).
cnf(447,plain,
equal(product(product(u,a138),a20),product(product(u,a20),a139)),
inference(spr,[status(thm),theory(equality)],[141,3]),
[iquote('0:SpR:141.0,3.0')] ).
cnf(454,plain,
equal(product(product(u,a31),a39),product(product(u,a39),a32)),
inference(spr,[status(thm),theory(equality)],[34,3]),
[iquote('0:SpR:34.0,3.0')] ).
cnf(455,plain,
equal(product(product(u,a39),a5),product(product(u,a4),a39)),
inference(spr,[status(thm),theory(equality)],[7,3]),
[iquote('0:SpR:7.0,3.0')] ).
cnf(456,plain,
equal(product(product(u,a135),a29),product(product(u,a29),a136)),
inference(spr,[status(thm),theory(equality)],[138,3]),
[iquote('0:SpR:138.0,3.0')] ).
cnf(459,plain,
equal(product(product(u,a37),a135),product(product(u,a134),a37)),
inference(spr,[status(thm),theory(equality)],[137,3]),
[iquote('0:SpR:137.0,3.0')] ).
cnf(473,plain,
equal(product(product(u,a119),a13),product(product(u,a13),a120)),
inference(spr,[status(thm),theory(equality)],[122,3]),
[iquote('0:SpR:122.0,3.0')] ).
cnf(476,plain,
equal(product(product(u,a69),a13),product(product(u,a13),a70)),
inference(spr,[status(thm),theory(equality)],[72,3]),
[iquote('0:SpR:72.0,3.0')] ).
cnf(478,plain,
equal(product(product(u,a32),a13),product(product(u,a13),a33)),
inference(spr,[status(thm),theory(equality)],[35,3]),
[iquote('0:SpR:35.0,3.0')] ).
cnf(484,plain,
equal(product(product(u,a127),a96),product(product(u,a96),a128)),
inference(spr,[status(thm),theory(equality)],[130,3]),
[iquote('0:SpR:130.0,3.0')] ).
cnf(486,plain,
equal(product(product(u,a126),a41),product(product(u,a41),a127)),
inference(spr,[status(thm),theory(equality)],[129,3]),
[iquote('0:SpR:129.0,3.0')] ).
cnf(489,plain,
equal(product(product(u,a64),a41),product(product(u,a41),a65)),
inference(spr,[status(thm),theory(equality)],[67,3]),
[iquote('0:SpR:67.0,3.0')] ).
cnf(490,plain,
equal(product(product(u,a41),a3),product(product(u,a2),a41)),
inference(spr,[status(thm),theory(equality)],[5,3]),
[iquote('0:SpR:5.0,3.0')] ).
cnf(491,plain,
equal(product(product(u,a125),a65),product(product(u,a65),a126)),
inference(spr,[status(thm),theory(equality)],[128,3]),
[iquote('0:SpR:128.0,3.0')] ).
cnf(492,plain,
equal(product(product(u,a124),a2),product(product(u,a2),a125)),
inference(spr,[status(thm),theory(equality)],[127,3]),
[iquote('0:SpR:127.0,3.0')] ).
cnf(494,plain,
equal(product(product(u,a65),a2),product(product(u,a2),a66)),
inference(spr,[status(thm),theory(equality)],[68,3]),
[iquote('0:SpR:68.0,3.0')] ).
cnf(495,plain,
equal(product(product(u,a41),a2),product(product(u,a2),a42)),
inference(spr,[status(thm),theory(equality)],[44,3]),
[iquote('0:SpR:44.0,3.0')] ).
cnf(497,plain,
equal(product(product(u,a122),a115),product(product(u,a115),a123)),
inference(spr,[status(thm),theory(equality)],[125,3]),
[iquote('0:SpR:125.0,3.0')] ).
cnf(498,plain,
equal(product(product(u,a121),a68),product(product(u,a68),a122)),
inference(spr,[status(thm),theory(equality)],[124,3]),
[iquote('0:SpR:124.0,3.0')] ).
cnf(499,plain,
equal(product(product(u,a114),a68),product(product(u,a68),a115)),
inference(spr,[status(thm),theory(equality)],[117,3]),
[iquote('0:SpR:117.0,3.0')] ).
cnf(500,plain,
equal(product(product(u,a75),a68),product(product(u,a68),a76)),
inference(spr,[status(thm),theory(equality)],[78,3]),
[iquote('0:SpR:78.0,3.0')] ).
cnf(501,plain,
equal(product(product(u,a120),a32),product(product(u,a32),a121)),
inference(spr,[status(thm),theory(equality)],[123,3]),
[iquote('0:SpR:123.0,3.0')] ).
cnf(502,plain,
equal(product(product(u,a117),a32),product(product(u,a32),a118)),
inference(spr,[status(thm),theory(equality)],[120,3]),
[iquote('0:SpR:120.0,3.0')] ).
cnf(503,plain,
equal(product(product(u,a73),a32),product(product(u,a32),a74)),
inference(spr,[status(thm),theory(equality)],[76,3]),
[iquote('0:SpR:76.0,3.0')] ).
cnf(504,plain,
equal(product(product(u,a68),a32),product(product(u,a32),a69)),
inference(spr,[status(thm),theory(equality)],[71,3]),
[iquote('0:SpR:71.0,3.0')] ).
cnf(505,plain,
equal(product(product(u,a32),a14),product(product(u,a13),a32)),
inference(spr,[status(thm),theory(equality)],[16,3]),
[iquote('0:SpR:16.0,3.0')] ).
cnf(506,plain,
equal(product(product(u,a118),a70),product(product(u,a70),a119)),
inference(spr,[status(thm),theory(equality)],[121,3]),
[iquote('0:SpR:121.0,3.0')] ).
cnf(507,plain,
equal(product(product(u,a109),a70),product(product(u,a70),a110)),
inference(spr,[status(thm),theory(equality)],[112,3]),
[iquote('0:SpR:112.0,3.0')] ).
cnf(508,plain,
equal(product(product(u,a80),a70),product(product(u,a70),a81)),
inference(spr,[status(thm),theory(equality)],[83,3]),
[iquote('0:SpR:83.0,3.0')] ).
cnf(510,plain,
equal(product(product(u,a115),a14),product(product(u,a14),a116)),
inference(spr,[status(thm),theory(equality)],[118,3]),
[iquote('0:SpR:118.0,3.0')] ).
cnf(513,plain,
equal(product(product(u,a74),a14),product(product(u,a14),a75)),
inference(spr,[status(thm),theory(equality)],[77,3]),
[iquote('0:SpR:77.0,3.0')] ).
cnf(519,plain,
equal(product(product(u,a111),a79),product(product(u,a79),a112)),
inference(spr,[status(thm),theory(equality)],[114,3]),
[iquote('0:SpR:114.0,3.0')] ).
cnf(520,plain,
equal(product(product(u,a110),a119),product(product(u,a119),a111)),
inference(spr,[status(thm),theory(equality)],[113,3]),
[iquote('0:SpR:113.0,3.0')] ).
cnf(521,plain,
equal(product(product(u,a119),a80),product(product(u,a79),a119)),
inference(spr,[status(thm),theory(equality)],[82,3]),
[iquote('0:SpR:82.0,3.0')] ).
cnf(522,plain,
equal(product(product(u,a108),a118),product(product(u,a118),a109)),
inference(spr,[status(thm),theory(equality)],[111,3]),
[iquote('0:SpR:111.0,3.0')] ).
cnf(523,plain,
equal(product(product(u,a82),a118),product(product(u,a118),a83)),
inference(spr,[status(thm),theory(equality)],[85,3]),
[iquote('0:SpR:85.0,3.0')] ).
cnf(524,plain,
equal(product(product(u,a118),a71),product(product(u,a70),a118)),
inference(spr,[status(thm),theory(equality)],[73,3]),
[iquote('0:SpR:73.0,3.0')] ).
cnf(526,plain,
equal(product(product(u,a105),a5),product(product(u,a5),a106)),
inference(spr,[status(thm),theory(equality)],[108,3]),
[iquote('0:SpR:108.0,3.0')] ).
cnf(528,plain,
equal(product(product(u,a30),a5),product(product(u,a5),a31)),
inference(spr,[status(thm),theory(equality)],[33,3]),
[iquote('0:SpR:33.0,3.0')] ).
cnf(529,plain,
equal(product(product(u,a104),a30),product(product(u,a30),a105)),
inference(spr,[status(thm),theory(equality)],[107,3]),
[iquote('0:SpR:107.0,3.0')] ).
cnf(534,plain,
equal(product(product(u,a39),a4),product(product(u,a4),a40)),
inference(spr,[status(thm),theory(equality)],[42,3]),
[iquote('0:SpR:42.0,3.0')] ).
cnf(538,plain,
equal(product(product(u,a98),a92),product(product(u,a92),a99)),
inference(spr,[status(thm),theory(equality)],[101,3]),
[iquote('0:SpR:101.0,3.0')] ).
cnf(541,plain,
equal(product(product(u,a42),a2),product(product(u,a1),a42)),
inference(spr,[status(thm),theory(equality)],[4,3]),
[iquote('0:SpR:4.0,3.0')] ).
cnf(547,plain,
equal(product(product(u,a81),a109),product(product(u,a109),a82)),
inference(spr,[status(thm),theory(equality)],[84,3]),
[iquote('0:SpR:84.0,3.0')] ).
cnf(549,plain,
equal(product(product(u,a114),a77),product(product(u,a76),a114)),
inference(spr,[status(thm),theory(equality)],[79,3]),
[iquote('0:SpR:79.0,3.0')] ).
cnf(582,plain,
equal(product(product(u,product(v,w)),w),product(product(u,w),v)),
inference(spr,[status(thm),theory(equality)],[2,3]),
[iquote('0:SpR:2.0,3.0')] ).
cnf(587,plain,
equal(product(product(a140,u),a11),product(a141,product(u,a11))),
inference(spr,[status(thm),theory(equality)],[143,3]),
[iquote('0:SpR:143.0,3.0')] ).
cnf(595,plain,
equal(product(product(a107,u),a39),product(a108,product(u,a39))),
inference(spr,[status(thm),theory(equality)],[110,3]),
[iquote('0:SpR:110.0,3.0')] ).
cnf(617,plain,
equal(product(product(a119,u),a13),product(a120,product(u,a13))),
inference(spr,[status(thm),theory(equality)],[122,3]),
[iquote('0:SpR:122.0,3.0')] ).
cnf(618,plain,
equal(product(product(a113,u),a13),product(a114,product(u,a13))),
inference(spr,[status(thm),theory(equality)],[116,3]),
[iquote('0:SpR:116.0,3.0')] ).
cnf(619,plain,
equal(product(product(a77,u),a13),product(a78,product(u,a13))),
inference(spr,[status(thm),theory(equality)],[80,3]),
[iquote('0:SpR:80.0,3.0')] ).
cnf(624,plain,
equal(product(product(a97,u),a1),product(a98,product(u,a1))),
inference(spr,[status(thm),theory(equality)],[100,3]),
[iquote('0:SpR:100.0,3.0')] ).
cnf(631,plain,
equal(product(product(a93,u),a41),product(a94,product(u,a41))),
inference(spr,[status(thm),theory(equality)],[96,3]),
[iquote('0:SpR:96.0,3.0')] ).
cnf(633,plain,
equal(product(product(a64,u),a41),product(a65,product(u,a41))),
inference(spr,[status(thm),theory(equality)],[67,3]),
[iquote('0:SpR:67.0,3.0')] ).
cnf(638,plain,
equal(product(product(a65,u),a2),product(a66,product(u,a2))),
inference(spr,[status(thm),theory(equality)],[68,3]),
[iquote('0:SpR:68.0,3.0')] ).
cnf(640,plain,
equal(product(product(a123,u),a75),product(a124,product(u,a75))),
inference(spr,[status(thm),theory(equality)],[126,3]),
[iquote('0:SpR:126.0,3.0')] ).
cnf(641,plain,
equal(product(product(a122,u),a115),product(a123,product(u,a115))),
inference(spr,[status(thm),theory(equality)],[125,3]),
[iquote('0:SpR:125.0,3.0')] ).
cnf(642,plain,
equal(product(product(a121,u),a68),product(a122,product(u,a68))),
inference(spr,[status(thm),theory(equality)],[124,3]),
[iquote('0:SpR:124.0,3.0')] ).
cnf(643,plain,
equal(product(product(a114,u),a68),product(a115,product(u,a68))),
inference(spr,[status(thm),theory(equality)],[117,3]),
[iquote('0:SpR:117.0,3.0')] ).
cnf(644,plain,
equal(product(product(a75,u),a68),product(a76,product(u,a68))),
inference(spr,[status(thm),theory(equality)],[78,3]),
[iquote('0:SpR:78.0,3.0')] ).
cnf(645,plain,
equal(product(product(a120,u),a32),product(a121,product(u,a32))),
inference(spr,[status(thm),theory(equality)],[123,3]),
[iquote('0:SpR:123.0,3.0')] ).
cnf(646,plain,
equal(product(product(a117,u),a32),product(a118,product(u,a32))),
inference(spr,[status(thm),theory(equality)],[120,3]),
[iquote('0:SpR:120.0,3.0')] ).
cnf(647,plain,
equal(product(product(a73,u),a32),product(a74,product(u,a32))),
inference(spr,[status(thm),theory(equality)],[76,3]),
[iquote('0:SpR:76.0,3.0')] ).
cnf(650,plain,
equal(product(product(a118,u),a70),product(a119,product(u,a70))),
inference(spr,[status(thm),theory(equality)],[121,3]),
[iquote('0:SpR:121.0,3.0')] ).
cnf(651,plain,
equal(product(product(a109,u),a70),product(a110,product(u,a70))),
inference(spr,[status(thm),theory(equality)],[112,3]),
[iquote('0:SpR:112.0,3.0')] ).
cnf(652,plain,
equal(product(product(a80,u),a70),product(a81,product(u,a70))),
inference(spr,[status(thm),theory(equality)],[83,3]),
[iquote('0:SpR:83.0,3.0')] ).
cnf(653,plain,
equal(product(product(a116,u),a74),product(a117,product(u,a74))),
inference(spr,[status(thm),theory(equality)],[119,3]),
[iquote('0:SpR:119.0,3.0')] ).
cnf(654,plain,
equal(product(product(a115,u),a14),product(a116,product(u,a14))),
inference(spr,[status(thm),theory(equality)],[118,3]),
[iquote('0:SpR:118.0,3.0')] ).
cnf(656,plain,
equal(product(product(a88,u),a14),product(a89,product(u,a14))),
inference(spr,[status(thm),theory(equality)],[91,3]),
[iquote('0:SpR:91.0,3.0')] ).
cnf(657,plain,
equal(product(product(a74,u),a14),product(a75,product(u,a14))),
inference(spr,[status(thm),theory(equality)],[77,3]),
[iquote('0:SpR:77.0,3.0')] ).
cnf(661,plain,
equal(product(product(a112,u),a33),product(a113,product(u,a33))),
inference(spr,[status(thm),theory(equality)],[115,3]),
[iquote('0:SpR:115.0,3.0')] ).
cnf(663,plain,
equal(product(product(a111,u),a79),product(a112,product(u,a79))),
inference(spr,[status(thm),theory(equality)],[114,3]),
[iquote('0:SpR:114.0,3.0')] ).
cnf(664,plain,
equal(product(product(a110,u),a119),product(a111,product(u,a119))),
inference(spr,[status(thm),theory(equality)],[113,3]),
[iquote('0:SpR:113.0,3.0')] ).
cnf(665,plain,
equal(product(product(a79,u),a119),product(a80,product(u,a119))),
inference(spr,[status(thm),theory(equality)],[82,3]),
[iquote('0:SpR:82.0,3.0')] ).
cnf(666,plain,
equal(product(product(a108,u),a118),product(a109,product(u,a118))),
inference(spr,[status(thm),theory(equality)],[111,3]),
[iquote('0:SpR:111.0,3.0')] ).
cnf(667,plain,
equal(product(product(a82,u),a118),product(a83,product(u,a118))),
inference(spr,[status(thm),theory(equality)],[85,3]),
[iquote('0:SpR:85.0,3.0')] ).
cnf(668,plain,
equal(product(product(a70,u),a118),product(a71,product(u,a118))),
inference(spr,[status(thm),theory(equality)],[73,3]),
[iquote('0:SpR:73.0,3.0')] ).
cnf(670,plain,
equal(product(product(a105,u),a5),product(a106,product(u,a5))),
inference(spr,[status(thm),theory(equality)],[108,3]),
[iquote('0:SpR:108.0,3.0')] ).
cnf(673,plain,
equal(product(product(a104,u),a30),product(a105,product(u,a30))),
inference(spr,[status(thm),theory(equality)],[107,3]),
[iquote('0:SpR:107.0,3.0')] ).
cnf(676,plain,
equal(product(product(a102,u),a4),product(a103,product(u,a4))),
inference(spr,[status(thm),theory(equality)],[105,3]),
[iquote('0:SpR:105.0,3.0')] ).
cnf(680,plain,
equal(product(product(a99,u),a124),product(a100,product(u,a124))),
inference(spr,[status(thm),theory(equality)],[102,3]),
[iquote('0:SpR:102.0,3.0')] ).
cnf(681,plain,
equal(product(product(a91,u),a124),product(a92,product(u,a124))),
inference(spr,[status(thm),theory(equality)],[94,3]),
[iquote('0:SpR:94.0,3.0')] ).
cnf(684,plain,
equal(product(product(a96,u),a42),product(a97,product(u,a42))),
inference(spr,[status(thm),theory(equality)],[99,3]),
[iquote('0:SpR:99.0,3.0')] ).
cnf(686,plain,
equal(product(product(a95,u),a64),product(a96,product(u,a64))),
inference(spr,[status(thm),theory(equality)],[98,3]),
[iquote('0:SpR:98.0,3.0')] ).
cnf(687,plain,
equal(product(product(a94,u),a127),product(a95,product(u,a127))),
inference(spr,[status(thm),theory(equality)],[97,3]),
[iquote('0:SpR:97.0,3.0')] ).
cnf(691,plain,
equal(product(product(a81,u),a109),product(a82,product(u,a109))),
inference(spr,[status(thm),theory(equality)],[84,3]),
[iquote('0:SpR:84.0,3.0')] ).
cnf(692,plain,
equal(product(product(a71,u),a109),product(a72,product(u,a109))),
inference(spr,[status(thm),theory(equality)],[74,3]),
[iquote('0:SpR:74.0,3.0')] ).
cnf(693,plain,
equal(product(product(a76,u),a114),product(a77,product(u,a114))),
inference(spr,[status(thm),theory(equality)],[79,3]),
[iquote('0:SpR:79.0,3.0')] ).
cnf(694,plain,
equal(product(product(a72,u),a82),product(a73,product(u,a82))),
inference(spr,[status(thm),theory(equality)],[75,3]),
[iquote('0:SpR:75.0,3.0')] ).
cnf(695,plain,
equal(product(product(a67,u),a98),product(a68,product(u,a98))),
inference(spr,[status(thm),theory(equality)],[70,3]),
[iquote('0:SpR:70.0,3.0')] ).
cnf(725,plain,
equal(product(product(u,v),u),product(u,product(v,u))),
inference(spr,[status(thm),theory(equality)],[1,3]),
[iquote('0:SpR:1.0,3.0')] ).
cnf(726,plain,
equal(product(product(product(u,v),w),v),product(u,product(w,v))),
inference(spr,[status(thm),theory(equality)],[2,3]),
[iquote('0:SpR:2.0,3.0')] ).
cnf(777,plain,
equal(product(product(a84,u),a39),product(a83,product(u,a39))),
inference(spr,[status(thm),theory(equality)],[302,3]),
[iquote('0:SpR:302.0,3.0')] ).
cnf(790,plain,
equal(product(product(u,a39),a4),product(product(u,a5),a39)),
inference(spr,[status(thm),theory(equality)],[305,3]),
[iquote('0:SpR:305.0,3.0')] ).
cnf(791,plain,
equal(product(product(u,a5),a39),product(product(u,a4),a40)),
inference(rew,[status(thm),theory(equality)],[534,790]),
[iquote('0:Rew:534.0,790.0')] ).
cnf(866,plain,
equal(product(product(a114,u),a13),product(a113,product(u,a13))),
inference(spr,[status(thm),theory(equality)],[324,3]),
[iquote('0:SpR:324.0,3.0')] ).
cnf(875,plain,
equal(product(product(u,a70),a13),product(product(u,a13),a69)),
inference(spr,[status(thm),theory(equality)],[326,3]),
[iquote('0:SpR:326.0,3.0')] ).
cnf(883,plain,
equal(product(product(u,a33),a13),product(product(u,a13),a32)),
inference(spr,[status(thm),theory(equality)],[328,3]),
[iquote('0:SpR:328.0,3.0')] ).
cnf(927,plain,
equal(product(product(u,a65),a41),product(product(u,a41),a64)),
inference(spr,[status(thm),theory(equality)],[339,3]),
[iquote('0:SpR:339.0,3.0')] ).
cnf(952,plain,
equal(product(product(u,a42),a2),product(product(u,a2),a41)),
inference(spr,[status(thm),theory(equality)],[345,3]),
[iquote('0:SpR:345.0,3.0')] ).
cnf(953,plain,
equal(product(product(u,a1),a42),product(product(u,a2),a41)),
inference(rew,[status(thm),theory(equality)],[541,952]),
[iquote('0:Rew:541.0,952.0')] ).
cnf(954,plain,
equal(product(product(u,a42),a2),product(product(u,a2),a41)),
inference(rew,[status(thm),theory(equality)],[953,541]),
[iquote('0:Rew:953.0,541.0')] ).
cnf(957,plain,
equal(product(product(a124,u),a75),product(a123,product(u,a75))),
inference(spr,[status(thm),theory(equality)],[346,3]),
[iquote('0:SpR:346.0,3.0')] ).
cnf(958,plain,
equal(product(product(u,a124),a75),product(product(u,a75),a123)),
inference(spr,[status(thm),theory(equality)],[346,3]),
[iquote('0:SpR:346.0,3.0')] ).
cnf(962,plain,
equal(product(product(u,a123),a115),product(product(u,a115),a122)),
inference(spr,[status(thm),theory(equality)],[347,3]),
[iquote('0:SpR:347.0,3.0')] ).
cnf(966,plain,
equal(product(product(u,a122),a68),product(product(u,a68),a121)),
inference(spr,[status(thm),theory(equality)],[348,3]),
[iquote('0:SpR:348.0,3.0')] ).
cnf(970,plain,
equal(product(product(u,a115),a68),product(product(u,a68),a114)),
inference(spr,[status(thm),theory(equality)],[349,3]),
[iquote('0:SpR:349.0,3.0')] ).
cnf(981,plain,
equal(product(product(a118,u),a32),product(a117,product(u,a32))),
inference(spr,[status(thm),theory(equality)],[352,3]),
[iquote('0:SpR:352.0,3.0')] ).
cnf(985,plain,
equal(product(product(a74,u),a32),product(a73,product(u,a32))),
inference(spr,[status(thm),theory(equality)],[353,3]),
[iquote('0:SpR:353.0,3.0')] ).
cnf(989,plain,
equal(product(product(a69,u),a32),product(a68,product(u,a32))),
inference(spr,[status(thm),theory(equality)],[354,3]),
[iquote('0:SpR:354.0,3.0')] ).
cnf(990,plain,
equal(product(product(u,a69),a32),product(product(u,a32),a68)),
inference(spr,[status(thm),theory(equality)],[354,3]),
[iquote('0:SpR:354.0,3.0')] ).
cnf(994,plain,
equal(product(product(u,a32),a13),product(product(u,a14),a32)),
inference(spr,[status(thm),theory(equality)],[355,3]),
[iquote('0:SpR:355.0,3.0')] ).
cnf(995,plain,
equal(product(product(u,a13),a33),product(product(u,a14),a32)),
inference(rew,[status(thm),theory(equality)],[478,994]),
[iquote('0:Rew:478.0,994.0')] ).
cnf(996,plain,
equal(product(product(u,a32),a13),product(product(u,a14),a32)),
inference(rew,[status(thm),theory(equality)],[995,478]),
[iquote('0:Rew:995.0,478.0')] ).
cnf(999,plain,
equal(product(product(a119,u),a70),product(a118,product(u,a70))),
inference(spr,[status(thm),theory(equality)],[356,3]),
[iquote('0:SpR:356.0,3.0')] ).
cnf(1000,plain,
equal(product(product(u,a119),a70),product(product(u,a70),a118)),
inference(spr,[status(thm),theory(equality)],[356,3]),
[iquote('0:SpR:356.0,3.0')] ).
cnf(1027,plain,
equal(product(product(a75,u),a14),product(a74,product(u,a14))),
inference(spr,[status(thm),theory(equality)],[363,3]),
[iquote('0:SpR:363.0,3.0')] ).
cnf(1063,plain,
equal(product(product(a109,u),a118),product(a108,product(u,a118))),
inference(spr,[status(thm),theory(equality)],[372,3]),
[iquote('0:SpR:372.0,3.0')] ).
cnf(1064,plain,
equal(product(product(u,a109),a118),product(product(u,a118),a108)),
inference(spr,[status(thm),theory(equality)],[372,3]),
[iquote('0:SpR:372.0,3.0')] ).
cnf(1067,plain,
equal(product(product(a83,u),a118),product(a82,product(u,a118))),
inference(spr,[status(thm),theory(equality)],[373,3]),
[iquote('0:SpR:373.0,3.0')] ).
cnf(1125,plain,
equal(product(product(a92,u),a124),product(a91,product(u,a124))),
inference(spr,[status(thm),theory(equality)],[387,3]),
[iquote('0:SpR:387.0,3.0')] ).
cnf(1130,plain,
equal(product(product(u,a99),a92),product(product(u,a92),a98)),
inference(spr,[status(thm),theory(equality)],[388,3]),
[iquote('0:SpR:388.0,3.0')] ).
cnf(1142,plain,
equal(product(product(u,a42),a1),product(product(u,a2),a42)),
inference(spr,[status(thm),theory(equality)],[391,3]),
[iquote('0:SpR:391.0,3.0')] ).
cnf(1166,plain,
equal(product(product(u,a82),a109),product(product(u,a109),a81)),
inference(spr,[status(thm),theory(equality)],[397,3]),
[iquote('0:SpR:397.0,3.0')] ).
cnf(1174,plain,
equal(product(product(u,a114),a76),product(product(u,a77),a114)),
inference(spr,[status(thm),theory(equality)],[399,3]),
[iquote('0:SpR:399.0,3.0')] ).
cnf(1177,plain,
equal(product(product(a73,u),a82),product(a72,product(u,a82))),
inference(spr,[status(thm),theory(equality)],[400,3]),
[iquote('0:SpR:400.0,3.0')] ).
cnf(1539,plain,
equal(product(product(a49,a20),a139),product(a48,a20)),
inference(spr,[status(thm),theory(equality)],[320,447]),
[iquote('0:SpR:320.0,447.0')] ).
cnf(1544,plain,
equal(product(product(a49,a20),a139),a47),
inference(rew,[status(thm),theory(equality)],[298,1539]),
[iquote('0:Rew:298.0,1539.0')] ).
cnf(1770,plain,
equal(product(product(a39,a4),a39),product(a39,a5)),
inference(spr,[status(thm),theory(equality)],[1,455]),
[iquote('0:SpR:1.0,455.0')] ).
cnf(1802,plain,
equal(product(a40,a39),product(a39,a5)),
inference(rew,[status(thm),theory(equality)],[42,1770]),
[iquote('0:Rew:42.0,1770.0')] ).
cnf(1819,plain,
equal(product(product(a54,a29),a136),product(a55,a29)),
inference(spr,[status(thm),theory(equality)],[57,456]),
[iquote('0:SpR:57.0,456.0')] ).
cnf(1823,plain,
equal(product(a55,a29),a52),
inference(rew,[status(thm),theory(equality)],[408,1819,307]),
[iquote('0:Rew:408.0,1819.0,307.0,1819.0')] ).
cnf(1913,plain,
equal(product(product(a56,a134),a37),product(a55,a135)),
inference(spr,[status(thm),theory(equality)],[310,459]),
[iquote('0:SpR:310.0,459.0')] ).
cnf(1927,plain,
equal(product(a57,a37),a54),
inference(rew,[status(thm),theory(equality)],[59,1913,407]),
[iquote('0:Rew:59.0,1913.0,407.0,1913.0')] ).
cnf(1938,plain,
equal(product(a54,a37),a57),
inference(spr,[status(thm),theory(equality)],[1927,2]),
[iquote('0:SpR:1927.0,2.0')] ).
cnf(2367,plain,
equal(product(product(a79,a13),a120),product(a80,a13)),
inference(spr,[status(thm),theory(equality)],[82,473]),
[iquote('0:SpR:82.0,473.0')] ).
cnf(2368,plain,
equal(product(product(a111,a13),a120),product(a110,a13)),
inference(spr,[status(thm),theory(equality)],[370,473]),
[iquote('0:SpR:370.0,473.0')] ).
cnf(2529,plain,
equal(product(product(a63,a96),a128),product(a64,a96)),
inference(spr,[status(thm),theory(equality)],[66,484]),
[iquote('0:SpR:66.0,484.0')] ).
cnf(2534,plain,
equal(product(a64,a96),product(a62,a128)),
inference(rew,[status(thm),theory(equality)],[335,2529]),
[iquote('0:Rew:335.0,2529.0')] ).
cnf(2671,plain,
equal(product(product(a65,a2),a41),product(a64,a3)),
inference(spr,[status(thm),theory(equality)],[339,490]),
[iquote('0:SpR:339.0,490.0')] ).
cnf(2693,plain,
equal(product(a66,a41),product(a64,a3)),
inference(rew,[status(thm),theory(equality)],[68,2671]),
[iquote('0:Rew:68.0,2671.0')] ).
cnf(2736,plain,
equal(product(product(a92,a2),a125),product(a91,a2)),
inference(spr,[status(thm),theory(equality)],[387,492]),
[iquote('0:SpR:387.0,492.0')] ).
cnf(2740,plain,
equal(product(a93,a125),product(a91,a2)),
inference(rew,[status(thm),theory(equality)],[95,2736]),
[iquote('0:Rew:95.0,2736.0')] ).
cnf(2752,plain,
equal(product(product(a93,a65),a126),product(product(a91,a2),a65)),
inference(spr,[status(thm),theory(equality)],[2740,491]),
[iquote('0:SpR:2740.0,491.0')] ).
cnf(2809,plain,
equal(product(product(a125,a2),a66),product(a126,a2)),
inference(spr,[status(thm),theory(equality)],[128,494]),
[iquote('0:SpR:128.0,494.0')] ).
cnf(2816,plain,
equal(product(a126,a2),product(a124,a66)),
inference(rew,[status(thm),theory(equality)],[342,2809]),
[iquote('0:Rew:342.0,2809.0')] ).
cnf(2845,plain,
equal(product(product(product(a93,a65),a41),a127),product(product(product(a91,a2),a65),a41)),
inference(spr,[status(thm),theory(equality)],[2752,486]),
[iquote('0:SpR:2752.0,486.0')] ).
cnf(2848,plain,
equal(product(product(product(a91,a2),a41),a64),product(a95,product(product(a65,a41),a127))),
inference(rew,[status(thm),theory(equality)],[687,2845,631,927]),
[iquote('0:Rew:687.0,2845.0,631.0,2845.0,927.0,2845.0')] ).
cnf(2849,plain,
equal(product(product(product(a91,a2),a41),a64),product(a95,a63)),
inference(rew,[status(thm),theory(equality)],[394,2848,339]),
[iquote('0:Rew:394.0,2848.0,339.0,2848.0')] ).
cnf(2861,plain,
equal(product(product(a2,a2),a42),product(a3,a2)),
inference(spr,[status(thm),theory(equality)],[5,495]),
[iquote('0:SpR:5.0,495.0')] ).
cnf(2873,plain,
equal(product(product(product(u,a64),a2),a42),product(product(product(u,a41),a65),a2)),
inference(spr,[status(thm),theory(equality)],[489,495]),
[iquote('0:SpR:489.0,495.0')] ).
cnf(2877,plain,
equal(product(a3,a2),a1),
inference(rew,[status(thm),theory(equality)],[391,2861,1]),
[iquote('0:Rew:391.0,2861.0,1.0,2861.0')] ).
cnf(2890,plain,
equal(product(product(product(u,a64),a2),a42),product(product(product(u,a2),a42),a66)),
inference(rew,[status(thm),theory(equality)],[495,2873,494]),
[iquote('0:Rew:495.0,2873.0,494.0,2873.0')] ).
cnf(2892,plain,
equal(product(a1,a2),a3),
inference(spr,[status(thm),theory(equality)],[2877,2]),
[iquote('0:SpR:2877.0,2.0')] ).
cnf(2894,plain,
equal(product(product(u,a3),a2),product(product(u,a2),a1)),
inference(spr,[status(thm),theory(equality)],[2877,3]),
[iquote('0:SpR:2877.0,3.0')] ).
cnf(2956,plain,
equal(product(product(a95,a63),a64),product(product(a91,a2),a41)),
inference(spr,[status(thm),theory(equality)],[2849,2]),
[iquote('0:SpR:2849.0,2.0')] ).
cnf(2961,plain,
equal(product(product(a91,a2),a41),product(a96,product(a63,a64))),
inference(rew,[status(thm),theory(equality)],[686,2956]),
[iquote('0:Rew:686.0,2956.0')] ).
cnf(2968,plain,
equal(product(product(a96,product(a63,a64)),a41),product(a91,a2)),
inference(spr,[status(thm),theory(equality)],[2961,2]),
[iquote('0:SpR:2961.0,2.0')] ).
cnf(2971,plain,
equal(product(product(product(a91,a2),a2),a42),product(product(a96,product(a63,a64)),a2)),
inference(spr,[status(thm),theory(equality)],[2961,495]),
[iquote('0:SpR:2961.0,495.0')] ).
cnf(2975,plain,
equal(product(product(a96,product(a63,a64)),a2),product(a91,a42)),
inference(rew,[status(thm),theory(equality)],[2,2971]),
[iquote('0:Rew:2.0,2971.0')] ).
cnf(2999,plain,
equal(product(product(product(a96,product(a63,a64)),a2),a41),product(product(a91,a2),a3)),
inference(spr,[status(thm),theory(equality)],[2968,490]),
[iquote('0:SpR:2968.0,490.0')] ).
cnf(3003,plain,
equal(product(product(a91,a42),a41),product(product(a91,a2),a3)),
inference(rew,[status(thm),theory(equality)],[2975,2999]),
[iquote('0:Rew:2975.0,2999.0')] ).
cnf(3020,plain,
equal(product(product(a76,a68),a115),product(a77,a68)),
inference(spr,[status(thm),theory(equality)],[79,499]),
[iquote('0:SpR:79.0,499.0')] ).
cnf(3024,plain,
equal(product(a77,a68),product(a75,a115)),
inference(rew,[status(thm),theory(equality)],[350,3020]),
[iquote('0:Rew:350.0,3020.0')] ).
cnf(3048,plain,
equal(product(product(product(a91,a42),a2),a42),product(product(product(a91,a2),a3),a2)),
inference(spr,[status(thm),theory(equality)],[3003,495]),
[iquote('0:SpR:3003.0,495.0')] ).
cnf(3055,plain,
equal(product(product(product(a91,a2),a41),a42),product(product(product(a91,a2),a2),a1)),
inference(rew,[status(thm),theory(equality)],[954,3048,2894]),
[iquote('0:Rew:954.0,3048.0,2894.0,3048.0')] ).
cnf(3056,plain,
equal(product(product(a96,product(a63,a64)),a42),product(a91,a1)),
inference(rew,[status(thm),theory(equality)],[2961,3055,2]),
[iquote('0:Rew:2961.0,3055.0,2.0,3055.0')] ).
cnf(3057,plain,
equal(product(a97,product(product(a63,a64),a42)),product(a91,a1)),
inference(rew,[status(thm),theory(equality)],[684,3056]),
[iquote('0:Rew:684.0,3056.0')] ).
cnf(3070,plain,
equal(product(product(a123,a68),a76),product(a124,a68)),
inference(spr,[status(thm),theory(equality)],[126,500]),
[iquote('0:SpR:126.0,500.0')] ).
cnf(3071,plain,
equal(product(product(a124,a68),a76),product(a123,a68)),
inference(spr,[status(thm),theory(equality)],[346,500]),
[iquote('0:SpR:346.0,500.0')] ).
cnf(3102,plain,
equal(product(product(product(a79,a13),a32),a121),product(product(a80,a13),a32)),
inference(spr,[status(thm),theory(equality)],[2367,501]),
[iquote('0:SpR:2367.0,501.0')] ).
cnf(3103,plain,
equal(product(product(product(a111,a13),a32),a121),product(product(a110,a13),a32)),
inference(spr,[status(thm),theory(equality)],[2368,501]),
[iquote('0:SpR:2368.0,501.0')] ).
cnf(3133,plain,
equal(product(product(a121,a32),a69),product(a122,a32)),
inference(spr,[status(thm),theory(equality)],[124,504]),
[iquote('0:SpR:124.0,504.0')] ).
cnf(3134,plain,
equal(product(product(a114,a32),a69),product(a115,a32)),
inference(spr,[status(thm),theory(equality)],[117,504]),
[iquote('0:SpR:117.0,504.0')] ).
cnf(3139,plain,
equal(product(product(a77,a32),a69),product(product(a75,a115),a32)),
inference(spr,[status(thm),theory(equality)],[3024,504]),
[iquote('0:SpR:3024.0,504.0')] ).
cnf(3145,plain,
equal(product(a122,a32),product(a120,a69)),
inference(rew,[status(thm),theory(equality)],[351,3133]),
[iquote('0:Rew:351.0,3133.0')] ).
cnf(3227,plain,
equal(product(product(product(a114,a32),a13),a70),product(product(a115,a32),a13)),
inference(spr,[status(thm),theory(equality)],[3134,476]),
[iquote('0:SpR:3134.0,476.0')] ).
cnf(3230,plain,
equal(product(product(a113,product(a32,a13)),a70),product(product(a115,a14),a32)),
inference(rew,[status(thm),theory(equality)],[866,3227,996]),
[iquote('0:Rew:866.0,3227.0,996.0,3227.0')] ).
cnf(3231,plain,
equal(product(a116,a32),product(a112,a70)),
inference(rew,[status(thm),theory(equality)],[367,3230,35,118]),
[iquote('0:Rew:367.0,3230.0,35.0,3230.0,118.0,3230.0')] ).
cnf(3237,plain,
equal(product(product(a82,a70),a119),product(a83,a70)),
inference(spr,[status(thm),theory(equality)],[85,506]),
[iquote('0:SpR:85.0,506.0')] ).
cnf(3238,plain,
equal(product(product(a70,a70),a119),product(a71,a70)),
inference(spr,[status(thm),theory(equality)],[73,506]),
[iquote('0:SpR:73.0,506.0')] ).
cnf(3239,plain,
equal(product(product(a109,a70),a119),product(a108,a70)),
inference(spr,[status(thm),theory(equality)],[372,506]),
[iquote('0:SpR:372.0,506.0')] ).
cnf(3245,plain,
equal(product(a71,a70),product(a70,a119)),
inference(rew,[status(thm),theory(equality)],[1,3238]),
[iquote('0:Rew:1.0,3238.0')] ).
cnf(3246,plain,
equal(product(a108,a70),a111),
inference(rew,[status(thm),theory(equality)],[113,3239,112]),
[iquote('0:Rew:113.0,3239.0,112.0,3239.0')] ).
cnf(3255,plain,
equal(product(a111,a70),a108),
inference(spr,[status(thm),theory(equality)],[3246,2]),
[iquote('0:SpR:3246.0,2.0')] ).
cnf(3261,plain,
equal(product(product(u,a111),a70),product(product(u,a70),a108)),
inference(spr,[status(thm),theory(equality)],[3255,3]),
[iquote('0:SpR:3255.0,3.0')] ).
cnf(3277,plain,
equal(product(product(a81,a70),a110),product(a82,a70)),
inference(spr,[status(thm),theory(equality)],[84,507]),
[iquote('0:SpR:84.0,507.0')] ).
cnf(3283,plain,
equal(product(a80,a110),product(a82,a70)),
inference(rew,[status(thm),theory(equality)],[358,3277]),
[iquote('0:Rew:358.0,3277.0')] ).
cnf(3391,plain,
equal(product(product(a122,a14),a116),product(a123,a14)),
inference(spr,[status(thm),theory(equality)],[125,510]),
[iquote('0:SpR:125.0,510.0')] ).
cnf(3474,plain,
equal(product(product(product(a77,a32),a13),a70),product(product(product(a75,a115),a32),a13)),
inference(spr,[status(thm),theory(equality)],[3139,476]),
[iquote('0:SpR:3139.0,476.0')] ).
cnf(3477,plain,
equal(product(product(a78,product(a32,a13)),a70),product(a73,product(product(a115,a14),a32))),
inference(rew,[status(thm),theory(equality)],[619,3474,985,1027,996]),
[iquote('0:Rew:619.0,3474.0,985.0,3474.0,1027.0,3474.0,996.0,3474.0')] ).
cnf(3478,plain,
equal(product(a73,product(a112,a70)),product(a79,a70)),
inference(rew,[status(thm),theory(equality)],[81,3477,35,3231,118]),
[iquote('0:Rew:81.0,3477.0,35.0,3477.0,3231.0,3477.0,118.0,3477.0')] ).
cnf(3479,plain,
equal(product(product(a79,a70),product(a112,a70)),a73),
inference(spr,[status(thm),theory(equality)],[3478,2]),
[iquote('0:SpR:3478.0,2.0')] ).
cnf(3483,plain,
equal(product(product(a79,a112),a70),a73),
inference(rew,[status(thm),theory(equality)],[3,3479]),
[iquote('0:Rew:3.0,3479.0')] ).
cnf(3484,plain,
equal(product(a79,a112),product(a73,a70)),
inference(spr,[status(thm),theory(equality)],[3483,2]),
[iquote('0:SpR:3483.0,2.0')] ).
cnf(3495,plain,
equal(product(product(a116,a14),a75),product(a117,a14)),
inference(spr,[status(thm),theory(equality)],[119,513]),
[iquote('0:SpR:119.0,513.0')] ).
cnf(3500,plain,
equal(product(a117,a14),product(a115,a75)),
inference(rew,[status(thm),theory(equality)],[360,3495]),
[iquote('0:Rew:360.0,3495.0')] ).
cnf(3508,plain,
equal(product(product(a73,a70),a112),a79),
inference(spr,[status(thm),theory(equality)],[3484,2]),
[iquote('0:SpR:3484.0,2.0')] ).
cnf(3813,plain,
equal(product(product(a80,a119),a111),product(product(a82,a70),a119)),
inference(spr,[status(thm),theory(equality)],[3283,520]),
[iquote('0:SpR:3283.0,520.0')] ).
cnf(3819,plain,
equal(product(a83,a70),product(a79,a111)),
inference(rew,[status(thm),theory(equality)],[371,3813,3237]),
[iquote('0:Rew:371.0,3813.0,3237.0,3813.0')] ).
cnf(3820,plain,
equal(product(product(a82,a70),a119),product(a79,a111)),
inference(rew,[status(thm),theory(equality)],[3819,3237]),
[iquote('0:Rew:3819.0,3237.0')] ).
cnf(3833,plain,
equal(product(product(a79,a111),a70),a83),
inference(spr,[status(thm),theory(equality)],[3819,2]),
[iquote('0:SpR:3819.0,2.0')] ).
cnf(3836,plain,
equal(product(product(a79,a70),a108),a83),
inference(rew,[status(thm),theory(equality)],[3261,3833]),
[iquote('0:Rew:3261.0,3833.0')] ).
cnf(3837,plain,
equal(product(a83,a108),product(a79,a70)),
inference(spr,[status(thm),theory(equality)],[3836,2]),
[iquote('0:SpR:3836.0,2.0')] ).
cnf(3862,plain,
equal(product(product(a111,a79),a119),product(a110,a80)),
inference(spr,[status(thm),theory(equality)],[370,521]),
[iquote('0:SpR:370.0,521.0')] ).
cnf(3871,plain,
equal(product(a112,a119),product(a110,a80)),
inference(rew,[status(thm),theory(equality)],[114,3862]),
[iquote('0:Rew:114.0,3862.0')] ).
cnf(3921,plain,
equal(product(product(a83,a118),a109),product(product(a79,a70),a118)),
inference(spr,[status(thm),theory(equality)],[3837,522]),
[iquote('0:SpR:3837.0,522.0')] ).
cnf(3927,plain,
equal(product(product(a79,a70),a118),a81),
inference(rew,[status(thm),theory(equality)],[397,3921,373]),
[iquote('0:Rew:397.0,3921.0,373.0,3921.0')] ).
cnf(3931,plain,
equal(product(a81,a118),product(a79,a70)),
inference(spr,[status(thm),theory(equality)],[3927,2]),
[iquote('0:SpR:3927.0,2.0')] ).
cnf(3970,plain,
equal(product(product(a109,a70),a118),product(a108,a71)),
inference(spr,[status(thm),theory(equality)],[372,524]),
[iquote('0:SpR:372.0,524.0')] ).
cnf(3974,plain,
equal(product(product(a118,a70),a118),product(a118,a71)),
inference(spr,[status(thm),theory(equality)],[1,524]),
[iquote('0:SpR:1.0,524.0')] ).
cnf(3978,plain,
equal(product(product(product(a79,a70),a70),a118),product(a81,a71)),
inference(spr,[status(thm),theory(equality)],[3927,524]),
[iquote('0:SpR:3927.0,524.0')] ).
cnf(3983,plain,
equal(product(a110,a118),product(a108,a71)),
inference(rew,[status(thm),theory(equality)],[112,3970]),
[iquote('0:Rew:112.0,3970.0')] ).
cnf(3987,plain,
equal(product(a119,a118),product(a118,a71)),
inference(rew,[status(thm),theory(equality)],[121,3974]),
[iquote('0:Rew:121.0,3974.0')] ).
cnf(3992,plain,
equal(product(a81,a71),product(a79,a118)),
inference(rew,[status(thm),theory(equality)],[2,3978]),
[iquote('0:Rew:2.0,3978.0')] ).
cnf(4021,plain,
equal(product(product(a119,a70),a119),product(product(a118,a71),a70)),
inference(spr,[status(thm),theory(equality)],[3987,506]),
[iquote('0:SpR:3987.0,506.0')] ).
cnf(4026,plain,
equal(product(product(a118,a71),a70),product(a118,a119)),
inference(rew,[status(thm),theory(equality)],[356,4021]),
[iquote('0:Rew:356.0,4021.0')] ).
cnf(4027,plain,
equal(product(a119,product(a71,a70)),product(a118,a119)),
inference(rew,[status(thm),theory(equality)],[650,4026]),
[iquote('0:Rew:650.0,4026.0')] ).
cnf(4028,plain,
equal(product(a119,product(a70,a119)),product(a118,a119)),
inference(rew,[status(thm),theory(equality)],[3245,4027]),
[iquote('0:Rew:3245.0,4027.0')] ).
cnf(4172,plain,
equal(product(product(a86,a30),a105),product(a87,a30)),
inference(spr,[status(thm),theory(equality)],[89,529]),
[iquote('0:SpR:89.0,529.0')] ).
cnf(4176,plain,
equal(product(a87,a30),product(a85,a105)),
inference(rew,[status(thm),theory(equality)],[380,4172]),
[iquote('0:Rew:380.0,4172.0')] ).
cnf(4199,plain,
equal(product(product(a87,a5),a31),product(product(a85,a105),a5)),
inference(spr,[status(thm),theory(equality)],[4176,528]),
[iquote('0:SpR:4176.0,528.0')] ).
cnf(4203,plain,
equal(product(product(a87,a5),a31),product(a84,a106)),
inference(rew,[status(thm),theory(equality)],[377,4199,526]),
[iquote('0:Rew:377.0,4199.0,526.0,4199.0')] ).
cnf(4204,plain,
equal(product(product(a84,a106),a31),product(a87,a5)),
inference(spr,[status(thm),theory(equality)],[4203,2]),
[iquote('0:SpR:4203.0,2.0')] ).
cnf(4225,plain,
equal(product(product(product(a84,a106),a39),a32),product(product(a87,a5),a39)),
inference(spr,[status(thm),theory(equality)],[4204,454]),
[iquote('0:SpR:4204.0,454.0')] ).
cnf(4228,plain,
equal(product(product(a83,product(a106,a39)),a32),product(product(a87,a4),a40)),
inference(rew,[status(thm),theory(equality)],[777,4225,791]),
[iquote('0:Rew:777.0,4225.0,791.0,4225.0')] ).
cnf(4229,plain,
equal(product(product(a83,product(a106,a39)),a32),product(a88,a40)),
inference(rew,[status(thm),theory(equality)],[90,4228]),
[iquote('0:Rew:90.0,4228.0')] ).
cnf(5937,plain,
equal(product(a141,product(a47,a11)),product(a139,a11)),
inference(spr,[status(thm),theory(equality)],[295,587]),
[iquote('0:SpR:295.0,587.0')] ).
cnf(5942,plain,
equal(product(a139,a11),product(a141,a46)),
inference(rew,[status(thm),theory(equality)],[294,5937]),
[iquote('0:Rew:294.0,5937.0')] ).
cnf(6360,plain,
equal(product(a108,product(a84,a39)),product(a106,a39)),
inference(spr,[status(thm),theory(equality)],[375,595]),
[iquote('0:SpR:375.0,595.0')] ).
cnf(6365,plain,
equal(product(a108,a83),product(a106,a39)),
inference(rew,[status(thm),theory(equality)],[302,6360]),
[iquote('0:Rew:302.0,6360.0')] ).
cnf(6375,plain,
equal(product(product(a106,a39),a83),a108),
inference(spr,[status(thm),theory(equality)],[6365,2]),
[iquote('0:SpR:6365.0,2.0')] ).
cnf(7564,plain,
equal(product(a120,product(a70,a13)),product(a118,a13)),
inference(spr,[status(thm),theory(equality)],[356,617]),
[iquote('0:SpR:356.0,617.0')] ).
cnf(7567,plain,
equal(product(a120,product(product(a70,a119),a13)),product(product(a118,a119),a13)),
inference(spr,[status(thm),theory(equality)],[4028,617]),
[iquote('0:SpR:4028.0,617.0')] ).
cnf(7570,plain,
equal(product(a120,a69),product(a118,a13)),
inference(rew,[status(thm),theory(equality)],[326,7564]),
[iquote('0:Rew:326.0,7564.0')] ).
cnf(7571,plain,
equal(product(a122,a32),product(a118,a13)),
inference(rew,[status(thm),theory(equality)],[7570,3145]),
[iquote('0:Rew:7570.0,3145.0')] ).
cnf(7589,plain,
equal(product(product(a118,a13),a120),product(a120,product(a69,a120))),
inference(rew,[status(thm),theory(equality)],[326,7567,473]),
[iquote('0:Rew:326.0,7567.0,473.0,7567.0,473.0,7567.0')] ).
cnf(7597,plain,
equal(product(product(a118,a13),a32),a122),
inference(spr,[status(thm),theory(equality)],[7571,2]),
[iquote('0:SpR:7571.0,2.0')] ).
cnf(7601,plain,
equal(product(a117,product(a13,a32)),a122),
inference(rew,[status(thm),theory(equality)],[981,7597]),
[iquote('0:Rew:981.0,7597.0')] ).
cnf(7602,plain,
equal(product(a115,a75),a122),
inference(rew,[status(thm),theory(equality)],[3500,7601,16]),
[iquote('0:Rew:3500.0,7601.0,16.0,7601.0')] ).
cnf(7603,plain,
equal(product(a117,a14),a122),
inference(rew,[status(thm),theory(equality)],[7602,3500]),
[iquote('0:Rew:7602.0,3500.0')] ).
cnf(7617,plain,
equal(product(a122,a75),a115),
inference(spr,[status(thm),theory(equality)],[7602,2]),
[iquote('0:SpR:7602.0,2.0')] ).
cnf(7619,plain,
equal(product(product(a115,a68),a76),product(a122,a68)),
inference(spr,[status(thm),theory(equality)],[7602,500]),
[iquote('0:SpR:7602.0,500.0')] ).
cnf(7621,plain,
equal(product(a114,a76),a121),
inference(rew,[status(thm),theory(equality)],[349,7619,348]),
[iquote('0:Rew:349.0,7619.0,348.0,7619.0')] ).
cnf(7623,plain,
equal(product(a122,a14),a117),
inference(spr,[status(thm),theory(equality)],[7603,2]),
[iquote('0:SpR:7603.0,2.0')] ).
cnf(7627,plain,
equal(product(a123,a14),product(a117,a116)),
inference(rew,[status(thm),theory(equality)],[7623,3391]),
[iquote('0:Rew:7623.0,3391.0')] ).
cnf(7678,plain,
equal(product(product(a122,a68),a76),product(a115,a68)),
inference(spr,[status(thm),theory(equality)],[7617,500]),
[iquote('0:SpR:7617.0,500.0')] ).
cnf(7679,plain,
equal(product(product(u,a122),a75),product(product(u,a75),a115)),
inference(spr,[status(thm),theory(equality)],[7617,3]),
[iquote('0:SpR:7617.0,3.0')] ).
cnf(7680,plain,
equal(product(a121,a76),a114),
inference(rew,[status(thm),theory(equality)],[348,7678,349]),
[iquote('0:Rew:348.0,7678.0,349.0,7678.0')] ).
cnf(7682,plain,
equal(product(product(a114,u),a76),product(a121,product(u,a76))),
inference(spr,[status(thm),theory(equality)],[7621,3]),
[iquote('0:SpR:7621.0,3.0')] ).
cnf(7683,plain,
equal(product(product(u,a114),a76),product(product(u,a76),a121)),
inference(spr,[status(thm),theory(equality)],[7621,3]),
[iquote('0:SpR:7621.0,3.0')] ).
cnf(7685,plain,
equal(product(product(u,a77),a114),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[1174,7683]),
[iquote('0:Rew:1174.0,7683.0')] ).
cnf(7686,plain,
equal(product(product(u,a114),a76),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[7685,1174]),
[iquote('0:Rew:7685.0,1174.0')] ).
cnf(8003,plain,
equal(product(a98,product(product(product(a63,a64),a42),a1)),product(product(a91,a1),a1)),
inference(spr,[status(thm),theory(equality)],[3057,624]),
[iquote('0:SpR:3057.0,624.0')] ).
cnf(8012,plain,
equal(product(a98,product(product(product(a63,a64),a42),a1)),a91),
inference(rew,[status(thm),theory(equality)],[2,8003]),
[iquote('0:Rew:2.0,8003.0')] ).
cnf(8013,plain,
equal(product(a98,product(product(product(a63,a2),a42),a66)),a91),
inference(rew,[status(thm),theory(equality)],[2890,8012,1142]),
[iquote('0:Rew:2890.0,8012.0,1142.0,8012.0')] ).
cnf(8114,plain,
equal(product(product(product(a118,a13),a32),a121),product(product(a120,product(a69,a120)),a32)),
inference(spr,[status(thm),theory(equality)],[7589,501]),
[iquote('0:SpR:7589.0,501.0')] ).
cnf(8119,plain,
equal(product(product(a117,product(a13,a32)),a121),product(a121,product(a68,product(a120,a32)))),
inference(rew,[status(thm),theory(equality)],[981,8114,989,645]),
[iquote('0:Rew:981.0,8114.0,989.0,8114.0,645.0,8114.0')] ).
cnf(8120,plain,
equal(product(a121,product(a68,a121)),product(a122,a121)),
inference(rew,[status(thm),theory(equality)],[7603,8119,16,123]),
[iquote('0:Rew:7603.0,8119.0,16.0,8119.0,123.0,8119.0')] ).
cnf(8388,plain,
equal(product(a91,product(product(product(a63,a2),a42),a66)),a98),
inference(spr,[status(thm),theory(equality)],[8013,2]),
[iquote('0:SpR:8013.0,2.0')] ).
cnf(8486,plain,
equal(product(a65,product(a127,a41)),product(a63,a41)),
inference(spr,[status(thm),theory(equality)],[394,633]),
[iquote('0:SpR:394.0,633.0')] ).
cnf(8490,plain,
equal(product(a65,a126),product(a63,a41)),
inference(rew,[status(thm),theory(equality)],[336,8486]),
[iquote('0:Rew:336.0,8486.0')] ).
cnf(8706,plain,
equal(product(product(a63,a41),a2),product(a66,product(a126,a2))),
inference(spr,[status(thm),theory(equality)],[8490,638]),
[iquote('0:SpR:8490.0,638.0')] ).
cnf(8717,plain,
equal(product(product(a63,a2),a42),product(a66,product(a124,a66))),
inference(rew,[status(thm),theory(equality)],[495,8706,2816]),
[iquote('0:Rew:495.0,8706.0,2816.0,8706.0')] ).
cnf(8719,plain,
equal(product(a91,product(product(a66,product(a124,a66)),a66)),a98),
inference(rew,[status(thm),theory(equality)],[8717,8388]),
[iquote('0:Rew:8717.0,8388.0')] ).
cnf(8728,plain,
equal(product(a91,product(a66,product(product(a124,a66),a66))),a98),
inference(rew,[status(thm),theory(equality)],[725,8719]),
[iquote('0:Rew:725.0,8719.0')] ).
cnf(8729,plain,
equal(product(a91,product(a66,a124)),a98),
inference(rew,[status(thm),theory(equality)],[2,8728]),
[iquote('0:Rew:2.0,8728.0')] ).
cnf(8799,plain,
equal(product(a124,product(a115,a75)),product(a122,a75)),
inference(spr,[status(thm),theory(equality)],[347,640]),
[iquote('0:SpR:347.0,640.0')] ).
cnf(8804,plain,
equal(product(a124,a122),a115),
inference(rew,[status(thm),theory(equality)],[7602,8799,7617]),
[iquote('0:Rew:7602.0,8799.0,7617.0,8799.0')] ).
cnf(8809,plain,
equal(product(a115,a122),a124),
inference(spr,[status(thm),theory(equality)],[8804,2]),
[iquote('0:SpR:8804.0,2.0')] ).
cnf(8812,plain,
equal(product(product(u,a122),a115),product(product(u,a124),a122)),
inference(spr,[status(thm),theory(equality)],[8804,3]),
[iquote('0:SpR:8804.0,3.0')] ).
cnf(8816,plain,
equal(product(product(u,a115),a123),product(product(u,a124),a122)),
inference(rew,[status(thm),theory(equality)],[497,8812]),
[iquote('0:Rew:497.0,8812.0')] ).
cnf(8817,plain,
equal(product(product(u,a122),a115),product(product(u,a124),a122)),
inference(rew,[status(thm),theory(equality)],[8816,497]),
[iquote('0:Rew:8816.0,497.0')] ).
cnf(8826,plain,
equal(product(product(u,a122),a124),product(product(u,a115),a122)),
inference(spr,[status(thm),theory(equality)],[8809,3]),
[iquote('0:SpR:8809.0,3.0')] ).
cnf(8851,plain,
equal(product(a123,product(a75,a115)),product(a115,a115)),
inference(spr,[status(thm),theory(equality)],[7617,641]),
[iquote('0:SpR:7617.0,641.0')] ).
cnf(8858,plain,
equal(product(a123,product(a75,a115)),a115),
inference(rew,[status(thm),theory(equality)],[1,8851]),
[iquote('0:Rew:1.0,8851.0')] ).
cnf(8864,plain,
equal(product(a115,product(a75,a115)),a123),
inference(spr,[status(thm),theory(equality)],[8858,2]),
[iquote('0:SpR:8858.0,2.0')] ).
cnf(8868,plain,
equal(product(a124,product(product(a75,a115),a75)),product(a115,a75)),
inference(spr,[status(thm),theory(equality)],[8858,640]),
[iquote('0:SpR:8858.0,640.0')] ).
cnf(8869,plain,
equal(product(a124,product(product(a75,a115),a75)),a122),
inference(rew,[status(thm),theory(equality)],[7602,8868]),
[iquote('0:Rew:7602.0,8868.0')] ).
cnf(8870,plain,
equal(product(a124,product(a75,product(a115,a75))),a122),
inference(rew,[status(thm),theory(equality)],[725,8869]),
[iquote('0:Rew:725.0,8869.0')] ).
cnf(8871,plain,
equal(product(a124,product(a75,a122)),a122),
inference(rew,[status(thm),theory(equality)],[7602,8870]),
[iquote('0:Rew:7602.0,8870.0')] ).
cnf(8878,plain,
equal(product(a122,product(a75,a122)),a124),
inference(spr,[status(thm),theory(equality)],[8871,2]),
[iquote('0:SpR:8871.0,2.0')] ).
cnf(8880,plain,
equal(product(product(u,product(a75,a122)),a122),product(product(u,a124),product(a75,a122))),
inference(spr,[status(thm),theory(equality)],[8871,3]),
[iquote('0:SpR:8871.0,3.0')] ).
cnf(8883,plain,
equal(product(product(u,a124),product(a75,a122)),product(product(u,a75),a115)),
inference(rew,[status(thm),theory(equality)],[7679,8880,582]),
[iquote('0:Rew:7679.0,8880.0,582.0,8880.0')] ).
cnf(8905,plain,
equal(product(a122,product(product(a68,a121),a68)),product(product(a122,a121),a68)),
inference(spr,[status(thm),theory(equality)],[8120,642]),
[iquote('0:SpR:8120.0,642.0')] ).
cnf(8916,plain,
equal(product(a122,product(a68,a122)),product(a121,a122)),
inference(rew,[status(thm),theory(equality)],[1,8905,498,348]),
[iquote('0:Rew:1.0,8905.0,498.0,8905.0,348.0,8905.0,498.0,8905.0')] ).
cnf(8942,plain,
equal(product(a123,product(product(a68,a122),a115)),product(product(a121,a122),a115)),
inference(spr,[status(thm),theory(equality)],[8916,641]),
[iquote('0:SpR:8916.0,641.0')] ).
cnf(8944,plain,
equal(product(a123,product(product(a68,a124),a122)),product(product(a121,a124),a122)),
inference(rew,[status(thm),theory(equality)],[8817,8942]),
[iquote('0:Rew:8817.0,8942.0,8817.0,8942.0')] ).
cnf(9134,plain,
equal(product(a118,product(a74,a32)),product(a116,a32)),
inference(spr,[status(thm),theory(equality)],[359,646]),
[iquote('0:SpR:359.0,646.0')] ).
cnf(9139,plain,
equal(product(a112,a70),product(a118,a73)),
inference(rew,[status(thm),theory(equality)],[353,9134,3231]),
[iquote('0:Rew:353.0,9134.0,3231.0,9134.0')] ).
cnf(9140,plain,
equal(product(a116,a32),product(a118,a73)),
inference(rew,[status(thm),theory(equality)],[9139,3231]),
[iquote('0:Rew:9139.0,3231.0')] ).
cnf(9142,plain,
equal(product(a73,product(a118,a73)),product(a79,a70)),
inference(rew,[status(thm),theory(equality)],[9139,3478]),
[iquote('0:Rew:9139.0,3478.0')] ).
cnf(9163,plain,
equal(product(product(a118,a73),a70),a112),
inference(spr,[status(thm),theory(equality)],[9139,2]),
[iquote('0:SpR:9139.0,2.0')] ).
cnf(9166,plain,
equal(product(a119,product(a73,a70)),a112),
inference(rew,[status(thm),theory(equality)],[650,9163]),
[iquote('0:Rew:650.0,9163.0')] ).
cnf(9173,plain,
equal(product(a112,product(a73,a70)),a119),
inference(spr,[status(thm),theory(equality)],[9166,2]),
[iquote('0:SpR:9166.0,2.0')] ).
cnf(9214,plain,
equal(product(a74,product(product(a118,a73),a32)),product(product(a79,a70),a32)),
inference(spr,[status(thm),theory(equality)],[9142,647]),
[iquote('0:SpR:9142.0,647.0')] ).
cnf(9217,plain,
equal(product(product(a79,a70),a32),product(a74,a116)),
inference(rew,[status(thm),theory(equality)],[359,9214,352,503]),
[iquote('0:Rew:359.0,9214.0,352.0,9214.0,503.0,9214.0')] ).
cnf(9226,plain,
equal(product(product(product(a79,a70),a13),a32),product(product(a74,a116),a14)),
inference(spr,[status(thm),theory(equality)],[9217,505]),
[iquote('0:SpR:9217.0,505.0')] ).
cnf(9231,plain,
equal(product(product(product(a79,a13),a32),a68),product(a75,product(a116,a14))),
inference(rew,[status(thm),theory(equality)],[990,9226,875,657]),
[iquote('0:Rew:990.0,9226.0,875.0,9226.0,657.0,9226.0')] ).
cnf(9232,plain,
equal(product(product(product(a79,a13),a32),a68),product(a75,a115)),
inference(rew,[status(thm),theory(equality)],[360,9231]),
[iquote('0:Rew:360.0,9231.0')] ).
cnf(9288,plain,
equal(product(product(a79,a13),a32),product(product(a75,a115),a68)),
inference(spr,[status(thm),theory(equality)],[9232,2]),
[iquote('0:SpR:9232.0,2.0')] ).
cnf(9293,plain,
equal(product(product(a79,a13),a32),a77),
inference(rew,[status(thm),theory(equality)],[79,9288,349,644]),
[iquote('0:Rew:79.0,9288.0,349.0,9288.0,644.0,9288.0')] ).
cnf(9295,plain,
equal(product(product(a80,a13),a32),product(a77,a121)),
inference(rew,[status(thm),theory(equality)],[9293,3102]),
[iquote('0:Rew:9293.0,3102.0')] ).
cnf(9538,plain,
equal(product(a116,product(a122,a14)),product(a124,a14)),
inference(spr,[status(thm),theory(equality)],[8809,654]),
[iquote('0:SpR:8809.0,654.0')] ).
cnf(9543,plain,
equal(product(a116,a117),product(a124,a14)),
inference(rew,[status(thm),theory(equality)],[7623,9538]),
[iquote('0:Rew:7623.0,9538.0')] ).
cnf(9555,plain,
equal(product(product(a116,a32),a118),product(product(a124,a14),a32)),
inference(spr,[status(thm),theory(equality)],[9543,502]),
[iquote('0:SpR:9543.0,502.0')] ).
cnf(9557,plain,
equal(product(product(a124,a14),a74),product(a117,product(a117,a74))),
inference(spr,[status(thm),theory(equality)],[9543,653]),
[iquote('0:SpR:9543.0,653.0')] ).
cnf(9559,plain,
equal(product(product(a124,a14),a32),product(product(a118,a73),a118)),
inference(rew,[status(thm),theory(equality)],[9140,9555]),
[iquote('0:Rew:9140.0,9555.0')] ).
cnf(9560,plain,
equal(product(product(a124,a14),a32),product(a118,product(a73,a118))),
inference(rew,[status(thm),theory(equality)],[725,9559]),
[iquote('0:Rew:725.0,9559.0')] ).
cnf(9561,plain,
equal(product(product(a124,a14),a74),product(a117,a116)),
inference(rew,[status(thm),theory(equality)],[359,9557]),
[iquote('0:Rew:359.0,9557.0')] ).
cnf(9973,plain,
equal(product(a113,product(a79,a33)),product(a111,a33)),
inference(spr,[status(thm),theory(equality)],[369,661]),
[iquote('0:SpR:369.0,661.0')] ).
cnf(9979,plain,
equal(product(a113,a78),product(a111,a33)),
inference(rew,[status(thm),theory(equality)],[368,9973]),
[iquote('0:Rew:368.0,9973.0')] ).
cnf(10008,plain,
equal(product(product(a111,a33),a13),product(a114,product(a78,a13))),
inference(spr,[status(thm),theory(equality)],[9979,618]),
[iquote('0:SpR:9979.0,618.0')] ).
cnf(10011,plain,
equal(product(product(a111,a33),a13),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[325,10008]),
[iquote('0:Rew:325.0,10008.0')] ).
cnf(10012,plain,
equal(product(product(a111,a13),a32),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[883,10011]),
[iquote('0:Rew:883.0,10011.0')] ).
cnf(10014,plain,
equal(product(product(a110,a13),a32),product(product(a114,a77),a121)),
inference(rew,[status(thm),theory(equality)],[10012,3103]),
[iquote('0:Rew:10012.0,3103.0')] ).
cnf(10083,plain,
equal(product(a112,product(a119,a79)),product(a110,a79)),
inference(spr,[status(thm),theory(equality)],[370,663]),
[iquote('0:SpR:370.0,663.0')] ).
cnf(10177,plain,
equal(product(product(a73,a70),a119),product(a80,product(a112,a119))),
inference(spr,[status(thm),theory(equality)],[3484,665]),
[iquote('0:SpR:3484.0,665.0')] ).
cnf(10187,plain,
equal(product(product(a73,a70),a119),product(a80,product(a110,a80))),
inference(rew,[status(thm),theory(equality)],[3871,10177]),
[iquote('0:Rew:3871.0,10177.0')] ).
cnf(10236,plain,
equal(product(product(a106,a39),a118),product(a109,product(a83,a118))),
inference(spr,[status(thm),theory(equality)],[6365,666]),
[iquote('0:SpR:6365.0,666.0')] ).
cnf(10245,plain,
equal(product(product(a106,a39),a118),product(a109,a82)),
inference(rew,[status(thm),theory(equality)],[373,10236]),
[iquote('0:Rew:373.0,10236.0')] ).
cnf(10258,plain,
equal(product(product(product(a106,a39),a70),a119),product(product(a109,a82),a70)),
inference(spr,[status(thm),theory(equality)],[10245,506]),
[iquote('0:SpR:10245.0,506.0')] ).
cnf(10263,plain,
equal(product(product(product(a106,a39),a70),a119),product(a110,product(a82,a70))),
inference(rew,[status(thm),theory(equality)],[651,10258]),
[iquote('0:Rew:651.0,10258.0')] ).
cnf(10505,plain,
equal(product(product(product(a73,a70),a79),a119),product(product(a80,product(a110,a80)),a80)),
inference(spr,[status(thm),theory(equality)],[10187,521]),
[iquote('0:SpR:10187.0,521.0')] ).
cnf(10511,plain,
equal(product(product(product(a73,a70),a79),a119),product(a80,product(product(a110,a80),a80))),
inference(rew,[status(thm),theory(equality)],[725,10505]),
[iquote('0:Rew:725.0,10505.0')] ).
cnf(10512,plain,
equal(product(product(product(a73,a70),a79),a119),product(a82,a70)),
inference(rew,[status(thm),theory(equality)],[3283,10511,2]),
[iquote('0:Rew:3283.0,10511.0,2.0,10511.0')] ).
cnf(10664,plain,
equal(product(a105,product(a87,a30)),product(a103,a30)),
inference(spr,[status(thm),theory(equality)],[381,673]),
[iquote('0:SpR:381.0,673.0')] ).
cnf(10668,plain,
equal(product(a105,product(a85,a105)),product(a103,a30)),
inference(rew,[status(thm),theory(equality)],[4176,10664]),
[iquote('0:Rew:4176.0,10664.0')] ).
cnf(10690,plain,
equal(product(a106,product(product(a85,a105),a5)),product(product(a103,a30),a5)),
inference(spr,[status(thm),theory(equality)],[10668,670]),
[iquote('0:SpR:10668.0,670.0')] ).
cnf(10693,plain,
equal(product(product(a103,a5),a31),product(a106,product(a84,a106))),
inference(rew,[status(thm),theory(equality)],[377,10690,526,528]),
[iquote('0:Rew:377.0,10690.0,526.0,10690.0,528.0,10690.0')] ).
cnf(10838,plain,
equal(product(a103,product(a40,a4)),product(a101,a4)),
inference(spr,[status(thm),theory(equality)],[385,676]),
[iquote('0:SpR:385.0,676.0')] ).
cnf(10843,plain,
equal(product(a103,a39),product(a101,a4)),
inference(rew,[status(thm),theory(equality)],[384,10838]),
[iquote('0:Rew:384.0,10838.0')] ).
cnf(10859,plain,
equal(product(product(a101,a4),a39),a103),
inference(spr,[status(thm),theory(equality)],[10843,2]),
[iquote('0:SpR:10843.0,2.0')] ).
cnf(10869,plain,
equal(product(product(product(a101,a4),a4),a39),product(a103,a5)),
inference(spr,[status(thm),theory(equality)],[10859,455]),
[iquote('0:SpR:10859.0,455.0')] ).
cnf(10873,plain,
equal(product(a103,a5),product(a101,a39)),
inference(rew,[status(thm),theory(equality)],[2,10869]),
[iquote('0:Rew:2.0,10869.0')] ).
cnf(10874,plain,
equal(product(product(a101,a39),a31),product(a106,product(a84,a106))),
inference(rew,[status(thm),theory(equality)],[10873,10693]),
[iquote('0:Rew:10873.0,10693.0')] ).
cnf(10931,plain,
equal(product(product(a82,a70),a119),product(product(a73,a70),a79)),
inference(spr,[status(thm),theory(equality)],[10512,2]),
[iquote('0:SpR:10512.0,2.0')] ).
cnf(10934,plain,
equal(product(product(product(product(a73,a70),a79),a79),a119),product(product(a82,a70),a80)),
inference(spr,[status(thm),theory(equality)],[10512,521]),
[iquote('0:SpR:10512.0,521.0')] ).
cnf(10937,plain,
equal(product(product(a73,a70),a79),product(a79,a111)),
inference(rew,[status(thm),theory(equality)],[3820,10931]),
[iquote('0:Rew:3820.0,10931.0')] ).
cnf(10942,plain,
equal(product(product(a82,a70),a80),product(a80,product(a110,a80))),
inference(rew,[status(thm),theory(equality)],[10187,10934,2]),
[iquote('0:Rew:10187.0,10934.0,2.0,10934.0')] ).
cnf(11063,plain,
equal(product(a100,product(a92,a124)),product(a98,a124)),
inference(spr,[status(thm),theory(equality)],[388,680]),
[iquote('0:SpR:388.0,680.0')] ).
cnf(11067,plain,
equal(product(a100,a91),product(a98,a124)),
inference(rew,[status(thm),theory(equality)],[387,11063]),
[iquote('0:Rew:387.0,11063.0')] ).
cnf(11102,plain,
equal(product(product(product(a101,a39),a39),a32),product(product(a106,product(a84,a106)),a39)),
inference(spr,[status(thm),theory(equality)],[10874,454]),
[iquote('0:SpR:10874.0,454.0')] ).
cnf(11107,plain,
equal(product(product(a106,product(a84,a106)),a39),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[2,11102]),
[iquote('0:Rew:2.0,11102.0')] ).
cnf(11117,plain,
equal(product(a92,product(a100,a124)),product(a90,a124)),
inference(spr,[status(thm),theory(equality)],[395,681]),
[iquote('0:SpR:395.0,681.0')] ).
cnf(11119,plain,
equal(product(a92,product(product(a66,a124),a124)),product(a98,a124)),
inference(spr,[status(thm),theory(equality)],[8729,681]),
[iquote('0:SpR:8729.0,681.0')] ).
cnf(11122,plain,
equal(product(a90,a124),product(a92,a99)),
inference(rew,[status(thm),theory(equality)],[386,11117]),
[iquote('0:Rew:386.0,11117.0')] ).
cnf(11127,plain,
equal(product(a98,a124),product(a92,a66)),
inference(rew,[status(thm),theory(equality)],[2,11119]),
[iquote('0:Rew:2.0,11119.0')] ).
cnf(11128,plain,
equal(product(a100,a91),product(a92,a66)),
inference(rew,[status(thm),theory(equality)],[11127,11067]),
[iquote('0:Rew:11127.0,11067.0')] ).
cnf(11509,plain,
equal(product(product(product(a82,a70),a70),a81),product(product(a80,product(a110,a80)),a70)),
inference(spr,[status(thm),theory(equality)],[10942,508]),
[iquote('0:SpR:10942.0,508.0')] ).
cnf(11514,plain,
equal(product(a81,product(a109,a81)),product(a82,a81)),
inference(rew,[status(thm),theory(equality)],[2,11509,357,508,652]),
[iquote('0:Rew:2.0,11509.0,357.0,11509.0,508.0,11509.0,652.0,11509.0')] ).
cnf(11646,plain,
equal(product(a82,product(a70,a109)),product(a80,a109)),
inference(spr,[status(thm),theory(equality)],[358,691]),
[iquote('0:SpR:358.0,691.0')] ).
cnf(11650,plain,
equal(product(a82,product(product(a109,a81),a109)),product(product(a82,a81),a109)),
inference(spr,[status(thm),theory(equality)],[11514,691]),
[iquote('0:SpR:11514.0,691.0')] ).
cnf(11659,plain,
equal(product(a82,product(a109,a82)),product(a81,a82)),
inference(rew,[status(thm),theory(equality)],[1,11650,547,397]),
[iquote('0:Rew:1.0,11650.0,547.0,11650.0,397.0,11650.0,547.0,11650.0')] ).
cnf(11665,plain,
equal(product(a83,product(product(a70,a109),a118)),product(product(a80,a109),a118)),
inference(spr,[status(thm),theory(equality)],[11646,667]),
[iquote('0:SpR:11646.0,667.0')] ).
cnf(11667,plain,
equal(product(product(a80,a109),a118),product(a83,product(a71,a108))),
inference(rew,[status(thm),theory(equality)],[372,11665,668]),
[iquote('0:Rew:372.0,11665.0,668.0,11665.0')] ).
cnf(11668,plain,
equal(product(product(a80,a118),a108),product(a83,product(a71,a108))),
inference(rew,[status(thm),theory(equality)],[1064,11667]),
[iquote('0:Rew:1064.0,11667.0')] ).
cnf(11673,plain,
equal(product(a83,product(product(a109,a82),a118)),product(product(a81,a82),a118)),
inference(spr,[status(thm),theory(equality)],[11659,667]),
[iquote('0:SpR:11659.0,667.0')] ).
cnf(11675,plain,
equal(product(product(a79,a70),a83),product(a83,product(a106,a39))),
inference(rew,[status(thm),theory(equality)],[6365,11673,372,523,3931]),
[iquote('0:Rew:6365.0,11673.0,372.0,11673.0,523.0,11673.0,3931.0,11673.0,523.0,11673.0')] ).
cnf(11705,plain,
equal(product(product(a70,a119),a109),product(a72,product(a70,a109))),
inference(spr,[status(thm),theory(equality)],[3245,692]),
[iquote('0:SpR:3245.0,692.0')] ).
cnf(11706,plain,
equal(product(a72,product(a118,a109)),product(a70,a109)),
inference(spr,[status(thm),theory(equality)],[374,692]),
[iquote('0:SpR:374.0,692.0')] ).
cnf(11721,plain,
equal(product(product(u,product(a118,a109)),product(a70,a109)),product(product(u,a72),product(a118,a109))),
inference(spr,[status(thm),theory(equality)],[11706,3]),
[iquote('0:SpR:11706.0,3.0')] ).
cnf(11823,plain,
equal(product(a73,product(a109,a82)),product(a71,a82)),
inference(spr,[status(thm),theory(equality)],[398,694]),
[iquote('0:SpR:398.0,694.0')] ).
cnf(11826,plain,
equal(product(a73,product(product(a118,a109),a82)),product(product(a70,a109),a82)),
inference(spr,[status(thm),theory(equality)],[11706,694]),
[iquote('0:SpR:11706.0,694.0')] ).
cnf(11883,plain,
equal(product(a68,product(a92,a98)),product(a66,a98)),
inference(spr,[status(thm),theory(equality)],[389,695]),
[iquote('0:SpR:389.0,695.0')] ).
cnf(13515,plain,
equal(product(product(product(a124,a14),a14),a32),product(product(a118,product(a73,a118)),a13)),
inference(spr,[status(thm),theory(equality)],[9560,996]),
[iquote('0:SpR:9560.0,996.0')] ).
cnf(13633,plain,
equal(product(product(a118,product(a73,a118)),a13),product(a124,a32)),
inference(rew,[status(thm),theory(equality)],[2,13515]),
[iquote('0:Rew:2.0,13515.0')] ).
cnf(14249,plain,
equal(product(a124,product(a75,a124)),product(a123,a124)),
inference(spr,[status(thm),theory(equality)],[346,725]),
[iquote('0:SpR:346.0,725.0')] ).
cnf(14252,plain,
equal(product(a122,product(a115,a122)),product(a123,a122)),
inference(spr,[status(thm),theory(equality)],[125,725]),
[iquote('0:SpR:125.0,725.0')] ).
cnf(14253,plain,
equal(product(a123,product(a115,a123)),product(a122,a123)),
inference(spr,[status(thm),theory(equality)],[347,725]),
[iquote('0:SpR:347.0,725.0')] ).
cnf(14259,plain,
equal(product(a76,product(a68,a76)),product(a75,a76)),
inference(spr,[status(thm),theory(equality)],[350,725]),
[iquote('0:SpR:350.0,725.0')] ).
cnf(14317,plain,
equal(product(a112,product(a79,a112)),product(a111,a112)),
inference(spr,[status(thm),theory(equality)],[369,725]),
[iquote('0:SpR:369.0,725.0')] ).
cnf(14333,plain,
equal(product(a106,product(a84,a106)),product(a107,a106)),
inference(spr,[status(thm),theory(equality)],[109,725]),
[iquote('0:SpR:109.0,725.0')] ).
cnf(14397,plain,
equal(product(a76,product(a114,a76)),product(a77,a76)),
inference(spr,[status(thm),theory(equality)],[79,725]),
[iquote('0:SpR:79.0,725.0')] ).
cnf(14398,plain,
equal(product(a77,product(a114,a77)),product(a76,a77)),
inference(spr,[status(thm),theory(equality)],[399,725]),
[iquote('0:SpR:399.0,725.0')] ).
cnf(14686,plain,
equal(product(product(a73,a70),product(a112,product(a73,a70))),product(a79,product(a73,a70))),
inference(spr,[status(thm),theory(equality)],[3508,725]),
[iquote('0:SpR:3508.0,725.0')] ).
cnf(14788,plain,
equal(product(product(a106,a39),product(a83,product(a106,a39))),product(a108,product(a106,a39))),
inference(spr,[status(thm),theory(equality)],[6375,725]),
[iquote('0:SpR:6375.0,725.0')] ).
cnf(15181,plain,
equal(product(a73,product(product(a118,a73),a73)),product(product(a79,a70),a73)),
inference(spr,[status(thm),theory(equality)],[9142,725]),
[iquote('0:SpR:9142.0,725.0')] ).
cnf(15252,plain,
equal(product(a124,product(product(a75,a122),a124)),product(a122,a124)),
inference(spr,[status(thm),theory(equality)],[8871,725]),
[iquote('0:SpR:8871.0,725.0')] ).
cnf(15267,plain,
equal(product(a112,product(product(a73,a70),a112)),product(a119,a112)),
inference(spr,[status(thm),theory(equality)],[9173,725]),
[iquote('0:SpR:9173.0,725.0')] ).
cnf(15357,plain,
equal(product(product(a83,product(a71,a108)),product(a80,a118)),product(product(a80,a118),product(a108,product(a80,a118)))),
inference(spr,[status(thm),theory(equality)],[11668,725]),
[iquote('0:SpR:11668.0,725.0')] ).
cnf(15358,plain,
equal(product(product(a79,a118),a81),product(a81,product(a71,a81))),
inference(spr,[status(thm),theory(equality)],[3992,725]),
[iquote('0:SpR:3992.0,725.0')] ).
cnf(15365,plain,
equal(product(product(a92,a66),a100),product(a100,product(a91,a100))),
inference(spr,[status(thm),theory(equality)],[11128,725]),
[iquote('0:SpR:11128.0,725.0')] ).
cnf(15374,plain,
equal(product(product(a106,a39),a108),product(a108,product(a83,a108))),
inference(spr,[status(thm),theory(equality)],[6365,725]),
[iquote('0:SpR:6365.0,725.0')] ).
cnf(15381,plain,
equal(product(a114,product(a76,a114)),product(a121,a114)),
inference(spr,[status(thm),theory(equality)],[7621,725]),
[iquote('0:SpR:7621.0,725.0')] ).
cnf(15382,plain,
equal(product(a121,product(a76,a121)),product(a114,a121)),
inference(spr,[status(thm),theory(equality)],[7680,725]),
[iquote('0:SpR:7680.0,725.0')] ).
cnf(15386,plain,
equal(product(a124,product(a122,a124)),product(a115,a124)),
inference(spr,[status(thm),theory(equality)],[8804,725]),
[iquote('0:SpR:8804.0,725.0')] ).
cnf(15387,plain,
equal(product(a115,product(a122,a115)),product(a124,a115)),
inference(spr,[status(thm),theory(equality)],[8809,725]),
[iquote('0:SpR:8809.0,725.0')] ).
cnf(15425,plain,
equal(product(a123,a122),product(a122,a124)),
inference(rew,[status(thm),theory(equality)],[8809,14252]),
[iquote('0:Rew:8809.0,14252.0')] ).
cnf(15439,plain,
equal(product(a111,a112),a119),
inference(rew,[status(thm),theory(equality)],[9173,14317,3484]),
[iquote('0:Rew:9173.0,14317.0,3484.0,14317.0')] ).
cnf(15442,plain,
equal(product(product(a107,a106),a39),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[14333,11107]),
[iquote('0:Rew:14333.0,11107.0')] ).
cnf(15469,plain,
equal(product(a77,a76),product(a76,a121)),
inference(rew,[status(thm),theory(equality)],[7621,14397]),
[iquote('0:Rew:7621.0,14397.0')] ).
cnf(15475,plain,
equal(product(a121,a114),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[79,15381]),
[iquote('0:Rew:79.0,15381.0')] ).
cnf(15476,plain,
equal(product(a115,a123),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[125,15387]),
[iquote('0:Rew:125.0,15387.0')] ).
cnf(15477,plain,
equal(product(a123,product(a124,a115)),product(a122,a123)),
inference(rew,[status(thm),theory(equality)],[15476,14253]),
[iquote('0:Rew:15476.0,14253.0')] ).
cnf(15481,plain,
equal(product(a108,product(a106,a39)),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[595,15442]),
[iquote('0:Rew:595.0,15442.0')] ).
cnf(15712,plain,
equal(product(a124,product(product(a75,a115),a122)),product(a122,a124)),
inference(rew,[status(thm),theory(equality)],[8826,15252]),
[iquote('0:Rew:8826.0,15252.0')] ).
cnf(15717,plain,
equal(product(a119,a112),a111),
inference(rew,[status(thm),theory(equality)],[369,15267,3508]),
[iquote('0:Rew:369.0,15267.0,3508.0,15267.0')] ).
cnf(15728,plain,
equal(product(product(a92,a66),a100),product(a100,a90)),
inference(rew,[status(thm),theory(equality)],[395,15365]),
[iquote('0:Rew:395.0,15365.0')] ).
cnf(15734,plain,
equal(product(product(a106,a39),a108),product(a108,product(a79,a70))),
inference(rew,[status(thm),theory(equality)],[3837,15374]),
[iquote('0:Rew:3837.0,15374.0')] ).
cnf(15755,plain,
equal(product(product(a79,a70),a73),product(a73,a118)),
inference(rew,[status(thm),theory(equality)],[2,15181]),
[iquote('0:Rew:2.0,15181.0')] ).
cnf(15958,plain,
equal(product(a80,product(a110,a80)),product(a79,product(a73,a70))),
inference(rew,[status(thm),theory(equality)],[10187,14686,9173]),
[iquote('0:Rew:10187.0,14686.0,9173.0,14686.0')] ).
cnf(15959,plain,
equal(product(product(a73,a70),a119),product(a79,product(a73,a70))),
inference(rew,[status(thm),theory(equality)],[15958,10187]),
[iquote('0:Rew:15958.0,10187.0')] ).
cnf(15967,plain,
equal(product(product(a106,a39),product(a83,product(a106,a39))),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[15481,14788]),
[iquote('0:Rew:15481.0,14788.0')] ).
cnf(16302,plain,
equal(product(a111,product(a112,a111)),product(a119,a111)),
inference(spr,[status(thm),theory(equality)],[15439,725]),
[iquote('0:SpR:15439.0,725.0')] ).
cnf(16305,plain,
equal(product(a112,product(a112,a79)),product(a119,a79)),
inference(spr,[status(thm),theory(equality)],[15439,663]),
[iquote('0:SpR:15439.0,663.0')] ).
cnf(16307,plain,
equal(product(a112,a111),product(a119,a79)),
inference(rew,[status(thm),theory(equality)],[369,16305]),
[iquote('0:Rew:369.0,16305.0')] ).
cnf(16310,plain,
equal(product(a111,product(a119,a79)),product(a119,a111)),
inference(rew,[status(thm),theory(equality)],[16307,16302]),
[iquote('0:Rew:16307.0,16302.0')] ).
cnf(16313,plain,
equal(product(product(a119,u),a112),product(a111,product(u,a112))),
inference(spr,[status(thm),theory(equality)],[15717,3]),
[iquote('0:SpR:15717.0,3.0')] ).
cnf(16314,plain,
equal(product(a119,product(a112,a119)),product(a111,a119)),
inference(spr,[status(thm),theory(equality)],[15717,725]),
[iquote('0:SpR:15717.0,725.0')] ).
cnf(16319,plain,
equal(product(a119,product(a110,a80)),a110),
inference(rew,[status(thm),theory(equality)],[3871,16314,370]),
[iquote('0:Rew:3871.0,16314.0,370.0,16314.0')] ).
cnf(16344,plain,
equal(product(product(a123,a124),a122),product(product(a122,a124),a115)),
inference(spr,[status(thm),theory(equality)],[15425,8817]),
[iquote('0:SpR:15425.0,8817.0')] ).
cnf(16350,plain,
equal(product(product(a123,a124),a122),product(a123,product(a124,a115))),
inference(rew,[status(thm),theory(equality)],[641,16344]),
[iquote('0:Rew:641.0,16344.0')] ).
cnf(16351,plain,
equal(product(product(a123,a124),a122),product(a122,a123)),
inference(rew,[status(thm),theory(equality)],[15477,16350]),
[iquote('0:Rew:15477.0,16350.0')] ).
cnf(17042,plain,
equal(product(product(u,product(product(v,w),x)),product(w,x)),product(product(u,product(w,x)),product(v,x))),
inference(spr,[status(thm),theory(equality)],[3,582]),
[iquote('0:SpR:3.0,582.0')] ).
cnf(17931,plain,
equal(product(product(u,product(a122,a124)),a122),product(product(u,a122),a123)),
inference(spr,[status(thm),theory(equality)],[15425,582]),
[iquote('0:SpR:15425.0,582.0')] ).
cnf(19300,plain,
equal(product(product(a76,a121),a77),product(a77,product(a76,a77))),
inference(spr,[status(thm),theory(equality)],[15469,725]),
[iquote('0:SpR:15469.0,725.0')] ).
cnf(19459,plain,
equal(product(product(u,product(v,w)),v),product(product(u,w),product(w,v))),
inference(spr,[status(thm),theory(equality)],[726]),
[iquote('0:SpR:726.0,726.0')] ).
cnf(21124,plain,
equal(product(product(a79,a111),a70),product(a73,product(a79,a70))),
inference(spr,[status(thm),theory(equality)],[10937,726]),
[iquote('0:SpR:10937.0,726.0')] ).
cnf(21684,plain,
equal(product(product(a79,a70),a108),product(a73,product(a79,a70))),
inference(rew,[status(thm),theory(equality)],[3261,21124]),
[iquote('0:Rew:3261.0,21124.0')] ).
cnf(21685,plain,
equal(product(a73,product(a79,a70)),a83),
inference(rew,[status(thm),theory(equality)],[3836,21684]),
[iquote('0:Rew:3836.0,21684.0')] ).
cnf(22187,plain,
equal(product(product(u,a124),product(a124,a122)),product(product(u,a122),a123)),
inference(rew,[status(thm),theory(equality)],[19459,17931]),
[iquote('0:Rew:19459.0,17931.0')] ).
cnf(22350,plain,
equal(product(product(u,a122),a123),product(product(u,a124),a115)),
inference(rew,[status(thm),theory(equality)],[8804,22187]),
[iquote('0:Rew:8804.0,22187.0')] ).
cnf(23306,plain,
equal(product(product(a114,a77),a121),product(a121,product(a114,a121))),
inference(spr,[status(thm),theory(equality)],[15475,725]),
[iquote('0:SpR:15475.0,725.0')] ).
cnf(23312,plain,
equal(product(product(u,product(a114,a77)),a114),product(product(u,a114),a121)),
inference(spr,[status(thm),theory(equality)],[15475,582]),
[iquote('0:SpR:15475.0,582.0')] ).
cnf(23314,plain,
equal(product(product(a110,a13),a32),product(a121,product(a114,a121))),
inference(rew,[status(thm),theory(equality)],[23306,10014]),
[iquote('0:Rew:23306.0,10014.0')] ).
cnf(23325,plain,
equal(product(product(u,a77),product(a77,a114)),product(product(u,a114),a121)),
inference(rew,[status(thm),theory(equality)],[19459,23312]),
[iquote('0:Rew:19459.0,23312.0')] ).
cnf(23326,plain,
equal(product(product(u,a114),a121),product(product(u,a77),a76)),
inference(rew,[status(thm),theory(equality)],[399,23325]),
[iquote('0:Rew:399.0,23325.0')] ).
cnf(23345,plain,
equal(product(product(a119,a79),a111),a112),
inference(spr,[status(thm),theory(equality)],[16307,2]),
[iquote('0:SpR:16307.0,2.0')] ).
cnf(23346,plain,
equal(product(product(a119,a79),product(u,a111)),product(product(a112,u),a111)),
inference(spr,[status(thm),theory(equality)],[16307,3]),
[iquote('0:SpR:16307.0,3.0')] ).
cnf(23347,plain,
equal(product(product(a119,a79),a112),product(a112,product(a111,a112))),
inference(spr,[status(thm),theory(equality)],[16307,725]),
[iquote('0:SpR:16307.0,725.0')] ).
cnf(23354,plain,
equal(product(product(a119,a79),a112),product(a110,a80)),
inference(rew,[status(thm),theory(equality)],[3871,23347,15439]),
[iquote('0:Rew:3871.0,23347.0,15439.0,23347.0')] ).
cnf(23355,plain,
equal(product(a111,product(a79,a112)),product(a110,a80)),
inference(rew,[status(thm),theory(equality)],[16313,23354]),
[iquote('0:Rew:16313.0,23354.0')] ).
cnf(23356,plain,
equal(product(a111,product(a73,a70)),product(a110,a80)),
inference(rew,[status(thm),theory(equality)],[3484,23355]),
[iquote('0:Rew:3484.0,23355.0')] ).
cnf(23566,plain,
equal(product(product(u,product(a118,v)),product(a70,v)),product(product(u,product(a70,v)),product(a119,v))),
inference(spr,[status(thm),theory(equality)],[121,437]),
[iquote('0:SpR:121.0,437.0')] ).
cnf(23689,plain,
equal(product(product(u,product(a114,v)),product(a76,v)),product(product(u,product(a77,v)),product(a114,v))),
inference(spr,[status(thm),theory(equality)],[399,437]),
[iquote('0:SpR:399.0,437.0')] ).
cnf(24484,plain,
equal(product(product(u,product(product(a75,a122),v)),product(a124,v)),product(product(u,product(a122,v)),product(product(a75,a122),v))),
inference(spr,[status(thm),theory(equality)],[8878,437]),
[iquote('0:SpR:8878.0,437.0')] ).
cnf(24604,plain,
equal(product(product(u,product(a114,v)),product(a76,v)),product(product(u,product(a76,v)),product(a121,v))),
inference(spr,[status(thm),theory(equality)],[7621,437]),
[iquote('0:SpR:7621.0,437.0')] ).
cnf(24833,plain,
equal(product(product(u,product(a124,a76)),product(a68,a76)),product(product(u,product(a68,a76)),product(a123,a68))),
inference(spr,[status(thm),theory(equality)],[3071,437]),
[iquote('0:SpR:3071.0,437.0')] ).
cnf(24850,plain,
equal(product(product(u,product(a119,a109)),product(a72,product(a70,a109))),product(product(u,product(a70,a109)),product(a119,a109))),
inference(spr,[status(thm),theory(equality)],[11705,437]),
[iquote('0:SpR:11705.0,437.0')] ).
cnf(27075,plain,
equal(product(product(u,product(a70,a109)),product(a119,a109)),product(product(u,a72),product(a118,a109))),
inference(rew,[status(thm),theory(equality)],[23566,11721]),
[iquote('0:Rew:23566.0,11721.0')] ).
cnf(27214,plain,
equal(product(product(u,product(a77,v)),product(a114,v)),product(product(u,product(a76,v)),product(a121,v))),
inference(rew,[status(thm),theory(equality)],[23689,24604]),
[iquote('0:Rew:23689.0,24604.0')] ).
cnf(27216,plain,
equal(product(product(u,product(a114,v)),product(a76,v)),product(product(u,product(a76,v)),product(a121,v))),
inference(rew,[status(thm),theory(equality)],[27214,23689]),
[iquote('0:Rew:27214.0,23689.0')] ).
cnf(27876,plain,
equal(product(product(u,product(a119,a109)),product(a72,product(a70,a109))),product(product(u,a72),product(a118,a109))),
inference(rew,[status(thm),theory(equality)],[27075,24850]),
[iquote('0:Rew:27075.0,24850.0')] ).
cnf(28175,plain,
equal(product(product(u,product(product(a75,a122),v)),product(a124,v)),product(product(u,product(a75,v)),product(a122,v))),
inference(rew,[status(thm),theory(equality)],[437,24484]),
[iquote('0:Rew:437.0,24484.0')] ).
cnf(28419,plain,
equal(product(a110,product(a110,a80)),a119),
inference(spr,[status(thm),theory(equality)],[16319,2]),
[iquote('0:SpR:16319.0,2.0')] ).
cnf(28425,plain,
equal(product(product(a119,a80),a110),product(a110,a80)),
inference(spr,[status(thm),theory(equality)],[16319,582]),
[iquote('0:SpR:16319.0,582.0')] ).
cnf(28454,plain,
equal(product(a83,product(a79,a70)),a73),
inference(spr,[status(thm),theory(equality)],[21685,2]),
[iquote('0:SpR:21685.0,2.0')] ).
cnf(28456,plain,
equal(product(a73,product(product(a79,a70),a73)),product(a83,a73)),
inference(spr,[status(thm),theory(equality)],[21685,725]),
[iquote('0:SpR:21685.0,725.0')] ).
cnf(28457,plain,
equal(product(product(a83,u),product(a79,a70)),product(a73,product(u,product(a79,a70)))),
inference(spr,[status(thm),theory(equality)],[21685,726]),
[iquote('0:SpR:21685.0,726.0')] ).
cnf(28469,plain,
equal(product(a73,product(a73,a118)),product(a83,a73)),
inference(rew,[status(thm),theory(equality)],[15755,28456]),
[iquote('0:Rew:15755.0,28456.0')] ).
cnf(29858,plain,
equal(product(product(product(u,a122),a122),product(a75,a122)),product(product(product(u,a75),a122),a124)),
inference(spr,[status(thm),theory(equality)],[8878,436]),
[iquote('0:SpR:8878.0,436.0')] ).
cnf(32052,plain,
equal(product(product(product(u,a75),a122),a124),product(u,product(a75,a122))),
inference(rew,[status(thm),theory(equality)],[2,29858]),
[iquote('0:Rew:2.0,29858.0')] ).
cnf(32053,plain,
equal(product(product(product(u,a75),a115),a122),product(u,product(a75,a122))),
inference(rew,[status(thm),theory(equality)],[8826,32052]),
[iquote('0:Rew:8826.0,32052.0')] ).
cnf(33430,plain,
equal(product(product(a119,a79),product(a111,product(a119,a79))),product(a112,product(a119,a79))),
inference(spr,[status(thm),theory(equality)],[23345,725]),
[iquote('0:SpR:23345.0,725.0')] ).
cnf(33446,plain,
equal(product(product(a119,a79),product(a111,product(a119,a79))),product(a110,a79)),
inference(rew,[status(thm),theory(equality)],[10083,33430]),
[iquote('0:Rew:10083.0,33430.0')] ).
cnf(33447,plain,
equal(product(product(a112,a119),a111),product(a110,a79)),
inference(rew,[status(thm),theory(equality)],[23346,33446,16310]),
[iquote('0:Rew:23346.0,33446.0,16310.0,33446.0')] ).
cnf(33448,plain,
equal(product(product(a110,a80),a111),product(a110,a79)),
inference(rew,[status(thm),theory(equality)],[3871,33447]),
[iquote('0:Rew:3871.0,33447.0')] ).
cnf(33454,plain,
equal(product(a110,product(product(a110,a80),a110)),product(a119,a110)),
inference(spr,[status(thm),theory(equality)],[28419,725]),
[iquote('0:SpR:28419.0,725.0')] ).
cnf(33459,plain,
equal(product(product(a110,a80),a110),product(a119,a80)),
inference(spr,[status(thm),theory(equality)],[28419,582]),
[iquote('0:SpR:28419.0,582.0')] ).
cnf(33467,plain,
equal(product(a110,product(a82,a70)),product(a119,a80)),
inference(rew,[status(thm),theory(equality)],[3283,33459,725]),
[iquote('0:Rew:3283.0,33459.0,725.0,33459.0')] ).
cnf(33468,plain,
equal(product(product(product(a106,a39),a70),a119),product(a119,a80)),
inference(rew,[status(thm),theory(equality)],[33467,10263]),
[iquote('0:Rew:33467.0,10263.0')] ).
cnf(33469,plain,
equal(product(a110,product(a110,product(a82,a70))),product(a119,a110)),
inference(rew,[status(thm),theory(equality)],[3283,33454,725]),
[iquote('0:Rew:3283.0,33454.0,725.0,33454.0')] ).
cnf(33470,plain,
equal(product(a110,product(a119,a80)),product(a119,a110)),
inference(rew,[status(thm),theory(equality)],[33467,33469]),
[iquote('0:Rew:33467.0,33469.0')] ).
cnf(39975,plain,
equal(product(product(u,product(a114,a77)),product(a76,a77)),product(product(u,a77),product(a114,a77))),
inference(spr,[status(thm),theory(equality)],[14398,3]),
[iquote('0:SpR:14398.0,3.0')] ).
cnf(39982,plain,
equal(product(product(u,product(a76,a77)),product(a114,a77)),product(product(u,product(a114,a77)),a77)),
inference(spr,[status(thm),theory(equality)],[14398,582]),
[iquote('0:SpR:14398.0,582.0')] ).
cnf(39991,plain,
equal(product(product(u,product(a114,a77)),product(a76,a77)),product(product(u,a76),a114)),
inference(rew,[status(thm),theory(equality)],[549,39975,3]),
[iquote('0:Rew:549.0,39975.0,3.0,39975.0')] ).
cnf(39992,plain,
equal(product(product(u,product(a76,a77)),product(a121,a77)),product(product(u,a76),a114)),
inference(rew,[status(thm),theory(equality)],[27216,39991]),
[iquote('0:Rew:27216.0,39991.0')] ).
cnf(39993,plain,
equal(product(product(u,product(a76,a77)),product(a114,a77)),product(product(u,a77),a114)),
inference(rew,[status(thm),theory(equality)],[582,39982]),
[iquote('0:Rew:582.0,39982.0')] ).
cnf(39994,plain,
equal(product(product(u,product(a76,a77)),product(a114,a77)),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[7685,39993]),
[iquote('0:Rew:7685.0,39993.0')] ).
cnf(41883,plain,
equal(product(a108,product(product(a106,a39),a108)),product(product(a101,a32),a108)),
inference(spr,[status(thm),theory(equality)],[15481,725]),
[iquote('0:SpR:15481.0,725.0')] ).
cnf(41898,plain,
equal(product(a108,product(a108,product(a79,a70))),product(product(a101,a32),a108)),
inference(rew,[status(thm),theory(equality)],[15734,41883]),
[iquote('0:Rew:15734.0,41883.0')] ).
cnf(42503,plain,
equal(product(product(a122,a123),a122),product(a123,a124)),
inference(spr,[status(thm),theory(equality)],[16351,2]),
[iquote('0:SpR:16351.0,2.0')] ).
cnf(42510,plain,
equal(product(product(a122,a123),a124),product(a123,product(a122,a124))),
inference(spr,[status(thm),theory(equality)],[16351,726]),
[iquote('0:SpR:16351.0,726.0')] ).
cnf(42518,plain,
equal(product(a122,product(a122,a124)),product(a123,a124)),
inference(rew,[status(thm),theory(equality)],[15425,42503,725]),
[iquote('0:Rew:15425.0,42503.0,725.0,42503.0')] ).
cnf(43117,plain,
equal(product(product(a110,a80),product(a73,a70)),a111),
inference(spr,[status(thm),theory(equality)],[23356,2]),
[iquote('0:SpR:23356.0,2.0')] ).
cnf(43125,plain,
equal(product(product(a111,a70),a73),product(product(a110,a80),a70)),
inference(spr,[status(thm),theory(equality)],[23356,582]),
[iquote('0:SpR:23356.0,582.0')] ).
cnf(43128,plain,
equal(product(a112,product(product(a73,a70),a79)),product(product(a110,a80),a79)),
inference(spr,[status(thm),theory(equality)],[23356,663]),
[iquote('0:SpR:23356.0,663.0')] ).
cnf(43132,plain,
equal(product(a108,a73),product(a109,a81)),
inference(rew,[status(thm),theory(equality)],[3255,43125,357,508]),
[iquote('0:Rew:3255.0,43125.0,357.0,43125.0,508.0,43125.0')] ).
cnf(43134,plain,
equal(product(product(a110,a80),a79),product(a112,product(a79,a111))),
inference(rew,[status(thm),theory(equality)],[10937,43128]),
[iquote('0:Rew:10937.0,43128.0')] ).
cnf(43135,plain,
equal(product(product(a109,a81),a73),a108),
inference(spr,[status(thm),theory(equality)],[43132,2]),
[iquote('0:SpR:43132.0,2.0')] ).
cnf(43143,plain,
equal(product(product(a109,a81),a118),product(a109,product(a73,a118))),
inference(spr,[status(thm),theory(equality)],[43132,666]),
[iquote('0:SpR:43132.0,666.0')] ).
cnf(43145,plain,
equal(product(product(u,product(a109,a81)),a73),product(product(u,a73),a108)),
inference(spr,[status(thm),theory(equality)],[43132,582]),
[iquote('0:SpR:43132.0,582.0')] ).
cnf(43148,plain,
equal(product(a108,product(a81,a118)),product(a109,product(a73,a118))),
inference(rew,[status(thm),theory(equality)],[1063,43143]),
[iquote('0:Rew:1063.0,43143.0')] ).
cnf(43149,plain,
equal(product(a108,product(a79,a70)),product(a109,product(a73,a118))),
inference(rew,[status(thm),theory(equality)],[3931,43148]),
[iquote('0:Rew:3931.0,43148.0')] ).
cnf(43152,plain,
equal(product(a108,product(a109,product(a73,a118))),product(product(a101,a32),a108)),
inference(rew,[status(thm),theory(equality)],[43149,41898]),
[iquote('0:Rew:43149.0,41898.0')] ).
cnf(43214,plain,
equal(product(product(product(a109,a81),a32),a74),product(a108,a32)),
inference(spr,[status(thm),theory(equality)],[43135,503]),
[iquote('0:SpR:43135.0,503.0')] ).
cnf(43262,plain,
equal(product(product(a83,a73),a118),product(product(a73,a118),a73)),
inference(spr,[status(thm),theory(equality)],[28469,582]),
[iquote('0:SpR:28469.0,582.0')] ).
cnf(43269,plain,
equal(product(product(a83,a73),a118),product(a79,a70)),
inference(rew,[status(thm),theory(equality)],[9142,43262,725]),
[iquote('0:Rew:9142.0,43262.0,725.0,43262.0')] ).
cnf(43270,plain,
equal(product(a82,product(a73,a118)),product(a79,a70)),
inference(rew,[status(thm),theory(equality)],[1067,43269]),
[iquote('0:Rew:1067.0,43269.0')] ).
cnf(43348,plain,
equal(product(product(product(a110,a80),a79),a112),product(product(a110,a79),a79)),
inference(spr,[status(thm),theory(equality)],[33448,519]),
[iquote('0:SpR:33448.0,519.0')] ).
cnf(43358,plain,
equal(product(product(product(a110,a80),a79),a112),a110),
inference(rew,[status(thm),theory(equality)],[2,43348]),
[iquote('0:Rew:2.0,43348.0')] ).
cnf(43359,plain,
equal(product(product(a112,product(a79,a111)),a112),a110),
inference(rew,[status(thm),theory(equality)],[43134,43358]),
[iquote('0:Rew:43134.0,43358.0')] ).
cnf(43360,plain,
equal(product(a112,product(product(a79,a111),a112)),a110),
inference(rew,[status(thm),theory(equality)],[725,43359]),
[iquote('0:Rew:725.0,43359.0')] ).
cnf(43371,plain,
equal(product(product(a110,a70),a82),product(product(a119,a80),a70)),
inference(spr,[status(thm),theory(equality)],[33467,582]),
[iquote('0:SpR:33467.0,582.0')] ).
cnf(43381,plain,
equal(product(a109,a82),product(a118,a81)),
inference(rew,[status(thm),theory(equality)],[357,43371,356,508]),
[iquote('0:Rew:357.0,43371.0,356.0,43371.0,508.0,43371.0')] ).
cnf(43382,plain,
equal(product(product(a106,a39),a118),product(a118,a81)),
inference(rew,[status(thm),theory(equality)],[43381,10245]),
[iquote('0:Rew:43381.0,10245.0')] ).
cnf(43383,plain,
equal(product(a82,product(a118,a81)),product(a81,a82)),
inference(rew,[status(thm),theory(equality)],[43381,11659]),
[iquote('0:Rew:43381.0,11659.0')] ).
cnf(43384,plain,
equal(product(a73,product(a118,a81)),product(a71,a82)),
inference(rew,[status(thm),theory(equality)],[43381,11823]),
[iquote('0:Rew:43381.0,11823.0')] ).
cnf(43422,plain,
equal(product(product(a118,a81),a82),a109),
inference(spr,[status(thm),theory(equality)],[43381,2]),
[iquote('0:SpR:43381.0,2.0')] ).
cnf(43424,plain,
equal(product(product(a118,a81),a109),product(a109,product(a82,a109))),
inference(spr,[status(thm),theory(equality)],[43381,725]),
[iquote('0:SpR:43381.0,725.0')] ).
cnf(43427,plain,
equal(product(product(a109,a118),a83),product(product(a118,a81),a118)),
inference(spr,[status(thm),theory(equality)],[43381,523]),
[iquote('0:SpR:43381.0,523.0')] ).
cnf(43436,plain,
equal(product(product(a118,a109),a82),product(a109,a81)),
inference(rew,[status(thm),theory(equality)],[547,43424,397]),
[iquote('0:Rew:547.0,43424.0,397.0,43424.0')] ).
cnf(43437,plain,
equal(product(product(a70,a109),a82),product(a73,product(a109,a81))),
inference(rew,[status(thm),theory(equality)],[43436,11826]),
[iquote('0:Rew:43436.0,11826.0')] ).
cnf(43438,plain,
equal(product(a118,product(a79,a70)),product(a106,a39)),
inference(rew,[status(thm),theory(equality)],[6365,43427,372,3931,725]),
[iquote('0:Rew:6365.0,43427.0,372.0,43427.0,3931.0,43427.0,725.0,43427.0')] ).
cnf(43454,plain,
equal(product(a118,product(a82,a81)),product(a109,a81)),
inference(spr,[status(thm),theory(equality)],[43422,726]),
[iquote('0:SpR:43422.0,726.0')] ).
cnf(43478,plain,
equal(product(product(a73,a81),a118),product(product(a71,a82),a81)),
inference(spr,[status(thm),theory(equality)],[43384,582]),
[iquote('0:SpR:43384.0,582.0')] ).
cnf(43496,plain,
equal(product(product(a110,a80),a119),product(product(a119,a110),a80)),
inference(spr,[status(thm),theory(equality)],[33470,582]),
[iquote('0:SpR:33470.0,582.0')] ).
cnf(43506,plain,
equal(product(product(a119,a110),a80),a112),
inference(rew,[status(thm),theory(equality)],[114,43496,371,664]),
[iquote('0:Rew:114.0,43496.0,371.0,43496.0,664.0,43496.0')] ).
cnf(43516,plain,
equal(product(a112,a80),product(a119,a110)),
inference(spr,[status(thm),theory(equality)],[43506,2]),
[iquote('0:SpR:43506.0,2.0')] ).
cnf(43982,plain,
equal(product(product(u,product(a123,a124)),product(a122,a124)),product(product(u,product(a122,a124)),a122)),
inference(spr,[status(thm),theory(equality)],[42518,582]),
[iquote('0:SpR:42518.0,582.0')] ).
cnf(43992,plain,
equal(product(product(u,product(a123,a124)),product(a122,a124)),product(product(u,a124),product(a124,a122))),
inference(rew,[status(thm),theory(equality)],[19459,43982]),
[iquote('0:Rew:19459.0,43982.0')] ).
cnf(43993,plain,
equal(product(product(u,product(a123,a124)),product(a122,a124)),product(product(u,a124),a115)),
inference(rew,[status(thm),theory(equality)],[8804,43992]),
[iquote('0:Rew:8804.0,43992.0')] ).
cnf(44157,plain,
equal(product(a110,product(product(a73,a70),a80)),product(a111,a80)),
inference(spr,[status(thm),theory(equality)],[43117,726]),
[iquote('0:SpR:43117.0,726.0')] ).
cnf(44349,plain,
equal(product(product(a79,a70),a118),product(product(a82,a118),a73)),
inference(spr,[status(thm),theory(equality)],[43270,582]),
[iquote('0:SpR:43270.0,582.0')] ).
cnf(44358,plain,
equal(product(a83,a73),a81),
inference(rew,[status(thm),theory(equality)],[3927,44349,85]),
[iquote('0:Rew:3927.0,44349.0,85.0,44349.0')] ).
cnf(44434,plain,
equal(product(a81,a73),a83),
inference(spr,[status(thm),theory(equality)],[44358,2]),
[iquote('0:SpR:44358.0,2.0')] ).
cnf(44444,plain,
equal(product(product(u,a81),a73),product(product(u,a73),a83)),
inference(spr,[status(thm),theory(equality)],[44358,582]),
[iquote('0:SpR:44358.0,582.0')] ).
cnf(44452,plain,
equal(product(product(a109,a73),a83),a108),
inference(rew,[status(thm),theory(equality)],[44444,43135]),
[iquote('0:Rew:44444.0,43135.0')] ).
cnf(44460,plain,
equal(product(a81,product(a73,a81)),product(a83,a81)),
inference(spr,[status(thm),theory(equality)],[44434,725]),
[iquote('0:SpR:44434.0,725.0')] ).
cnf(44597,plain,
equal(product(a108,a83),product(a109,a73)),
inference(spr,[status(thm),theory(equality)],[44452,2]),
[iquote('0:SpR:44452.0,2.0')] ).
cnf(44600,plain,
equal(product(product(a109,a73),product(u,a83)),product(product(a108,u),a83)),
inference(spr,[status(thm),theory(equality)],[44452,726]),
[iquote('0:SpR:44452.0,726.0')] ).
cnf(44612,plain,
equal(product(a106,a39),product(a109,a73)),
inference(rew,[status(thm),theory(equality)],[6365,44597]),
[iquote('0:Rew:6365.0,44597.0')] ).
cnf(44614,plain,
equal(product(product(a83,product(a109,a73)),a32),product(a88,a40)),
inference(rew,[status(thm),theory(equality)],[44612,4229]),
[iquote('0:Rew:44612.0,4229.0')] ).
cnf(44615,plain,
equal(product(product(a79,a70),a83),product(a83,product(a109,a73))),
inference(rew,[status(thm),theory(equality)],[44612,11675]),
[iquote('0:Rew:44612.0,11675.0')] ).
cnf(44687,plain,
equal(product(product(a109,a73),product(a83,product(a109,a73))),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[44612,15967]),
[iquote('0:Rew:44612.0,15967.0')] ).
cnf(44717,plain,
equal(product(product(product(a109,a73),a70),a119),product(a119,a80)),
inference(rew,[status(thm),theory(equality)],[44612,33468]),
[iquote('0:Rew:44612.0,33468.0')] ).
cnf(44727,plain,
equal(product(product(a109,a73),a118),product(a118,a81)),
inference(rew,[status(thm),theory(equality)],[44612,43382]),
[iquote('0:Rew:44612.0,43382.0')] ).
cnf(44731,plain,
equal(product(a118,product(a79,a70)),product(a109,a73)),
inference(rew,[status(thm),theory(equality)],[44612,43438]),
[iquote('0:Rew:44612.0,43438.0')] ).
cnf(44737,plain,
equal(product(a108,product(a73,a118)),product(a118,a81)),
inference(rew,[status(thm),theory(equality)],[1063,44727]),
[iquote('0:Rew:1063.0,44727.0')] ).
cnf(44742,plain,
equal(product(a111,product(product(a73,a70),a119)),product(a119,a80)),
inference(rew,[status(thm),theory(equality)],[664,44717,651]),
[iquote('0:Rew:664.0,44717.0,651.0,44717.0')] ).
cnf(44743,plain,
equal(product(a111,product(a79,product(a73,a70))),product(a119,a80)),
inference(rew,[status(thm),theory(equality)],[15959,44742]),
[iquote('0:Rew:15959.0,44742.0')] ).
cnf(44760,plain,
equal(product(product(a109,a73),a39),a106),
inference(spr,[status(thm),theory(equality)],[44612,2]),
[iquote('0:SpR:44612.0,2.0')] ).
cnf(45016,plain,
equal(product(a110,product(product(a79,a111),a112)),a112),
inference(spr,[status(thm),theory(equality)],[43360,2]),
[iquote('0:SpR:43360.0,2.0')] ).
cnf(45052,plain,
equal(product(product(a81,a82),a81),product(product(a82,a81),a118)),
inference(spr,[status(thm),theory(equality)],[43383,582]),
[iquote('0:SpR:43383.0,582.0')] ).
cnf(45062,plain,
equal(product(a81,product(a82,a81)),a73),
inference(rew,[status(thm),theory(equality)],[725,45052,28454,3931,667]),
[iquote('0:Rew:725.0,45052.0,28454.0,45052.0,3931.0,45052.0,667.0,45052.0')] ).
cnf(45073,plain,
equal(product(a73,product(a82,a81)),a81),
inference(spr,[status(thm),theory(equality)],[45062,2]),
[iquote('0:SpR:45062.0,2.0')] ).
cnf(45080,plain,
equal(product(product(a81,a81),a82),product(a73,a81)),
inference(spr,[status(thm),theory(equality)],[45062,582]),
[iquote('0:SpR:45062.0,582.0')] ).
cnf(45084,plain,
equal(product(a82,product(product(a82,a81),a109)),product(a73,a109)),
inference(spr,[status(thm),theory(equality)],[45062,691]),
[iquote('0:SpR:45062.0,691.0')] ).
cnf(45088,plain,
equal(product(a81,a82),product(a73,a81)),
inference(rew,[status(thm),theory(equality)],[1,45080]),
[iquote('0:Rew:1.0,45080.0')] ).
cnf(45103,plain,
equal(product(a82,product(a81,a82)),product(a73,a109)),
inference(rew,[status(thm),theory(equality)],[397,45084,547]),
[iquote('0:Rew:397.0,45084.0,547.0,45084.0')] ).
cnf(45104,plain,
equal(product(a82,product(a73,a81)),product(a73,a109)),
inference(rew,[status(thm),theory(equality)],[45088,45103]),
[iquote('0:Rew:45088.0,45103.0')] ).
cnf(45124,plain,
equal(product(product(a73,a81),a82),product(a81,a81)),
inference(spr,[status(thm),theory(equality)],[45073,582]),
[iquote('0:SpR:45073.0,582.0')] ).
cnf(45132,plain,
equal(product(product(a73,a81),a82),a81),
inference(rew,[status(thm),theory(equality)],[1,45124]),
[iquote('0:Rew:1.0,45124.0')] ).
cnf(45133,plain,
equal(product(a72,product(a73,a81)),a81),
inference(rew,[status(thm),theory(equality)],[45088,45132,1177]),
[iquote('0:Rew:45088.0,45132.0,1177.0,45132.0')] ).
cnf(45196,plain,
equal(product(product(a81,a118),a83),product(product(a73,a81),a118)),
inference(spr,[status(thm),theory(equality)],[45088,523]),
[iquote('0:SpR:45088.0,523.0')] ).
cnf(45200,plain,
equal(product(product(a73,a81),a109),product(a82,product(a82,a109))),
inference(spr,[status(thm),theory(equality)],[45088,691]),
[iquote('0:SpR:45088.0,691.0')] ).
cnf(45207,plain,
equal(product(product(a79,a70),a83),product(product(a73,a81),a118)),
inference(rew,[status(thm),theory(equality)],[3931,45196]),
[iquote('0:Rew:3931.0,45196.0')] ).
cnf(45208,plain,
equal(product(product(a71,a82),a81),product(a83,product(a109,a73))),
inference(rew,[status(thm),theory(equality)],[44615,45207,43478]),
[iquote('0:Rew:44615.0,45207.0,43478.0,45207.0')] ).
cnf(45211,plain,
equal(product(product(a73,a109),a82),product(a82,a81)),
inference(rew,[status(thm),theory(equality)],[547,45200,397]),
[iquote('0:Rew:547.0,45200.0,397.0,45200.0')] ).
cnf(45212,plain,
equal(product(a72,product(a109,a82)),product(a82,a81)),
inference(rew,[status(thm),theory(equality)],[1177,45211]),
[iquote('0:Rew:1177.0,45211.0')] ).
cnf(45213,plain,
equal(product(a72,product(a118,a81)),product(a82,a81)),
inference(rew,[status(thm),theory(equality)],[43381,45212]),
[iquote('0:Rew:43381.0,45212.0')] ).
cnf(45217,plain,
equal(product(a81,product(a73,a81)),a72),
inference(spr,[status(thm),theory(equality)],[45133,2]),
[iquote('0:SpR:45133.0,2.0')] ).
cnf(45232,plain,
equal(product(a83,a81),a72),
inference(rew,[status(thm),theory(equality)],[44460,45217]),
[iquote('0:Rew:44460.0,45217.0')] ).
cnf(45233,plain,
equal(product(a81,product(a73,a81)),a72),
inference(rew,[status(thm),theory(equality)],[45232,44460]),
[iquote('0:Rew:45232.0,44460.0')] ).
cnf(45249,plain,
equal(product(a72,a81),a83),
inference(spr,[status(thm),theory(equality)],[45232,2]),
[iquote('0:SpR:45232.0,2.0')] ).
cnf(45270,plain,
equal(product(product(a72,a109),a82),product(a83,a109)),
inference(spr,[status(thm),theory(equality)],[45249,547]),
[iquote('0:SpR:45249.0,547.0')] ).
cnf(45278,plain,
equal(product(a83,a109),product(a71,a82)),
inference(rew,[status(thm),theory(equality)],[398,45270]),
[iquote('0:Rew:398.0,45270.0')] ).
cnf(45345,plain,
equal(product(a82,product(product(a73,a81),a109)),product(a72,a109)),
inference(spr,[status(thm),theory(equality)],[45233,691]),
[iquote('0:SpR:45233.0,691.0')] ).
cnf(45351,plain,
equal(product(a82,product(product(a73,a109),a82)),a71),
inference(rew,[status(thm),theory(equality)],[547,45345,398]),
[iquote('0:Rew:547.0,45345.0,398.0,45345.0')] ).
cnf(45352,plain,
equal(product(a82,product(a72,product(a109,a82))),a71),
inference(rew,[status(thm),theory(equality)],[1177,45351]),
[iquote('0:Rew:1177.0,45351.0')] ).
cnf(45353,plain,
equal(product(a82,product(a72,product(a118,a81))),a71),
inference(rew,[status(thm),theory(equality)],[43381,45352]),
[iquote('0:Rew:43381.0,45352.0')] ).
cnf(45354,plain,
equal(product(a82,product(a82,a81)),a71),
inference(rew,[status(thm),theory(equality)],[45213,45353]),
[iquote('0:Rew:45213.0,45353.0')] ).
cnf(45394,plain,
equal(product(product(a83,a70),a110),product(product(a71,a82),a70)),
inference(spr,[status(thm),theory(equality)],[45278,507]),
[iquote('0:SpR:45278.0,507.0')] ).
cnf(45403,plain,
equal(product(product(a79,a111),a110),product(product(a71,a82),a70)),
inference(rew,[status(thm),theory(equality)],[3819,45394]),
[iquote('0:Rew:3819.0,45394.0')] ).
cnf(45405,plain,
equal(product(a71,product(a82,a81)),a82),
inference(spr,[status(thm),theory(equality)],[45354,2]),
[iquote('0:SpR:45354.0,2.0')] ).
cnf(45412,plain,
equal(product(product(a82,a81),a82),product(a71,a81)),
inference(spr,[status(thm),theory(equality)],[45354,582]),
[iquote('0:SpR:45354.0,582.0')] ).
cnf(45416,plain,
equal(product(a83,product(product(a82,a81),a118)),product(a71,a118)),
inference(spr,[status(thm),theory(equality)],[45354,667]),
[iquote('0:SpR:45354.0,667.0')] ).
cnf(45420,plain,
equal(product(a82,product(a73,a81)),product(a71,a81)),
inference(rew,[status(thm),theory(equality)],[45088,45412,725]),
[iquote('0:Rew:45088.0,45412.0,725.0,45412.0')] ).
cnf(45421,plain,
equal(product(a73,a109),product(a71,a81)),
inference(rew,[status(thm),theory(equality)],[45104,45420]),
[iquote('0:Rew:45104.0,45420.0')] ).
cnf(45427,plain,
equal(a81,a70),
inference(rew,[status(thm),theory(equality)],[44358,45416,28454,3931,667,374]),
[iquote('0:Rew:44358.0,45416.0,28454.0,45416.0,3931.0,45416.0,667.0,45416.0,374.0,45416.0')] ).
cnf(45428,plain,
equal(product(a70,a109),a82),
inference(rew,[status(thm),theory(equality)],[45427,84]),
[iquote('0:Rew:45427.0,84.0')] ).
cnf(45430,plain,
~ equal(tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,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,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130)),
inference(rew,[status(thm),theory(equality)],[45427,145]),
[iquote('0:Rew:45427.0,145.0')] ).
cnf(45431,plain,
equal(product(a70,a70),a80),
inference(rew,[status(thm),theory(equality)],[45427,358]),
[iquote('0:Rew:45427.0,358.0')] ).
cnf(45435,plain,
equal(product(a79,a70),product(a70,a118)),
inference(rew,[status(thm),theory(equality)],[45427,3931]),
[iquote('0:Rew:45427.0,3931.0')] ).
cnf(45437,plain,
equal(product(product(u,a109),a82),product(product(u,a70),a109)),
inference(rew,[status(thm),theory(equality)],[45427,547]),
[iquote('0:Rew:45427.0,547.0')] ).
cnf(45440,plain,
equal(product(a108,a73),product(a109,a70)),
inference(rew,[status(thm),theory(equality)],[45427,43132]),
[iquote('0:Rew:45427.0,43132.0')] ).
cnf(45442,plain,
equal(product(product(a70,u),a109),product(a82,product(u,a109))),
inference(rew,[status(thm),theory(equality)],[45427,691]),
[iquote('0:Rew:45427.0,691.0')] ).
cnf(45451,plain,
equal(product(a70,a73),a83),
inference(rew,[status(thm),theory(equality)],[45427,44434]),
[iquote('0:Rew:45427.0,44434.0')] ).
cnf(45456,plain,
equal(product(a73,a70),product(a70,a82)),
inference(rew,[status(thm),theory(equality)],[45427,45088]),
[iquote('0:Rew:45427.0,45088.0')] ).
cnf(45458,plain,
equal(product(a83,a70),a72),
inference(rew,[status(thm),theory(equality)],[45427,45232]),
[iquote('0:Rew:45427.0,45232.0')] ).
cnf(45472,plain,
equal(product(product(u,a73),a83),product(product(u,a70),a73)),
inference(rew,[status(thm),theory(equality)],[45427,44444]),
[iquote('0:Rew:45427.0,44444.0')] ).
cnf(45500,plain,
equal(product(product(u,a82),a109),product(product(u,a109),a70)),
inference(rew,[status(thm),theory(equality)],[45427,1166]),
[iquote('0:Rew:45427.0,1166.0')] ).
cnf(45527,plain,
equal(product(product(u,product(a109,a70)),a73),product(product(u,a73),a108)),
inference(rew,[status(thm),theory(equality)],[45427,43145]),
[iquote('0:Rew:45427.0,43145.0')] ).
cnf(45535,plain,
equal(product(product(product(a109,a70),a32),a74),product(a108,a32)),
inference(rew,[status(thm),theory(equality)],[45427,43214]),
[iquote('0:Rew:45427.0,43214.0')] ).
cnf(45540,plain,
equal(product(product(a70,a109),a82),product(a73,product(a109,a70))),
inference(rew,[status(thm),theory(equality)],[45427,43437]),
[iquote('0:Rew:45427.0,43437.0')] ).
cnf(45551,plain,
equal(product(a118,product(a82,a70)),product(a109,a70)),
inference(rew,[status(thm),theory(equality)],[45427,43454]),
[iquote('0:Rew:45427.0,43454.0')] ).
cnf(45556,plain,
equal(product(a71,product(a82,a70)),a82),
inference(rew,[status(thm),theory(equality)],[45427,45405]),
[iquote('0:Rew:45427.0,45405.0')] ).
cnf(45607,plain,
equal(product(a108,product(a73,a118)),product(a118,a70)),
inference(rew,[status(thm),theory(equality)],[45427,44737]),
[iquote('0:Rew:45427.0,44737.0')] ).
cnf(45613,plain,
equal(product(a73,a109),product(a71,a70)),
inference(rew,[status(thm),theory(equality)],[45427,45421]),
[iquote('0:Rew:45427.0,45421.0')] ).
cnf(45615,plain,
equal(product(product(a79,a118),a70),product(a70,product(a71,a70))),
inference(rew,[status(thm),theory(equality)],[45427,15358]),
[iquote('0:Rew:45427.0,15358.0')] ).
cnf(45716,plain,
equal(product(product(a71,a82),a70),product(a83,product(a109,a73))),
inference(rew,[status(thm),theory(equality)],[45427,45208]),
[iquote('0:Rew:45427.0,45208.0')] ).
cnf(45739,plain,
equal(product(a72,product(a118,a109)),a82),
inference(rew,[status(thm),theory(equality)],[45428,11706]),
[iquote('0:Rew:45428.0,11706.0')] ).
cnf(45740,plain,
equal(product(product(a70,a119),a109),product(a72,a82)),
inference(rew,[status(thm),theory(equality)],[45428,11705]),
[iquote('0:Rew:45428.0,11705.0')] ).
cnf(45758,plain,
equal(product(product(u,product(a119,a109)),product(a72,a82)),product(product(u,a72),product(a118,a109))),
inference(rew,[status(thm),theory(equality)],[45428,27876]),
[iquote('0:Rew:45428.0,27876.0')] ).
cnf(45776,plain,
equal(a80,a70),
inference(rew,[status(thm),theory(equality)],[1,45431]),
[iquote('0:Rew:1.0,45431.0')] ).
cnf(45778,plain,
equal(product(a70,a119),a79),
inference(rew,[status(thm),theory(equality)],[45776,371]),
[iquote('0:Rew:45776.0,371.0')] ).
cnf(45779,plain,
equal(product(a82,a70),product(a70,a110)),
inference(rew,[status(thm),theory(equality)],[45776,3283]),
[iquote('0:Rew:45776.0,3283.0')] ).
cnf(45781,plain,
equal(product(product(u,a119),a70),product(product(u,a79),a119)),
inference(rew,[status(thm),theory(equality)],[45776,521]),
[iquote('0:Rew:45776.0,521.0')] ).
cnf(45785,plain,
equal(product(a119,product(a110,a70)),a110),
inference(rew,[status(thm),theory(equality)],[45776,16319]),
[iquote('0:Rew:45776.0,16319.0')] ).
cnf(45794,plain,
equal(product(product(a70,a13),a32),product(a77,a121)),
inference(rew,[status(thm),theory(equality)],[45776,9295]),
[iquote('0:Rew:45776.0,9295.0')] ).
cnf(45803,plain,
equal(product(product(a119,a70),a110),product(a110,a70)),
inference(rew,[status(thm),theory(equality)],[45776,28425]),
[iquote('0:Rew:45776.0,28425.0')] ).
cnf(45805,plain,
equal(product(a110,product(a119,a70)),product(a119,a110)),
inference(rew,[status(thm),theory(equality)],[45776,33470]),
[iquote('0:Rew:45776.0,33470.0')] ).
cnf(45809,plain,
equal(product(product(a119,a110),a70),a112),
inference(rew,[status(thm),theory(equality)],[45776,43506]),
[iquote('0:Rew:45776.0,43506.0')] ).
cnf(45810,plain,
equal(product(a112,a70),product(a119,a110)),
inference(rew,[status(thm),theory(equality)],[45776,43516]),
[iquote('0:Rew:45776.0,43516.0')] ).
cnf(45942,plain,
equal(product(product(a83,product(a71,a108)),product(a70,a118)),product(product(a70,a118),product(a108,product(a70,a118)))),
inference(rew,[status(thm),theory(equality)],[45776,15357]),
[iquote('0:Rew:45776.0,15357.0')] ).
cnf(46031,plain,
equal(product(a111,product(a79,product(a73,a70))),product(a119,a70)),
inference(rew,[status(thm),theory(equality)],[45776,44743]),
[iquote('0:Rew:45776.0,44743.0')] ).
cnf(46035,plain,
equal(product(a79,product(a73,a70)),product(a70,product(a110,a70))),
inference(rew,[status(thm),theory(equality)],[45776,15958]),
[iquote('0:Rew:45776.0,15958.0')] ).
cnf(46094,plain,
equal(product(a110,product(product(a73,a70),a70)),product(a111,a70)),
inference(rew,[status(thm),theory(equality)],[45776,44157]),
[iquote('0:Rew:45776.0,44157.0')] ).
cnf(46101,plain,
equal(product(a79,a111),a72),
inference(rew,[status(thm),theory(equality)],[3819,45458]),
[iquote('0:Rew:3819.0,45458.0')] ).
cnf(46175,plain,
equal(product(a110,product(a72,a112)),a112),
inference(rew,[status(thm),theory(equality)],[46101,45016]),
[iquote('0:Rew:46101.0,45016.0')] ).
cnf(46185,plain,
equal(product(product(a71,a82),a70),product(a72,a110)),
inference(rew,[status(thm),theory(equality)],[46101,45403]),
[iquote('0:Rew:46101.0,45403.0')] ).
cnf(46208,plain,
equal(product(a71,a70),a79),
inference(rew,[status(thm),theory(equality)],[45778,3245]),
[iquote('0:Rew:45778.0,3245.0')] ).
cnf(46247,plain,
equal(product(a79,a70),a71),
inference(rew,[status(thm),theory(equality)],[73,45435]),
[iquote('0:Rew:73.0,45435.0')] ).
cnf(46248,plain,
equal(product(a71,a108),a83),
inference(rew,[status(thm),theory(equality)],[46247,3836]),
[iquote('0:Rew:46247.0,3836.0')] ).
cnf(46251,plain,
equal(product(a73,product(a118,a73)),a71),
inference(rew,[status(thm),theory(equality)],[46247,9142]),
[iquote('0:Rew:46247.0,9142.0')] ).
cnf(46255,plain,
equal(product(a83,a71),a73),
inference(rew,[status(thm),theory(equality)],[46247,28454]),
[iquote('0:Rew:46247.0,28454.0')] ).
cnf(46256,plain,
equal(product(a73,a118),product(a71,a73)),
inference(rew,[status(thm),theory(equality)],[46247,15755]),
[iquote('0:Rew:46247.0,15755.0')] ).
cnf(46314,plain,
equal(product(product(a83,u),a71),product(a73,product(u,a71))),
inference(rew,[status(thm),theory(equality)],[46247,28457]),
[iquote('0:Rew:46247.0,28457.0')] ).
cnf(46321,plain,
equal(product(a109,product(a73,a118)),product(a108,a71)),
inference(rew,[status(thm),theory(equality)],[46247,43149]),
[iquote('0:Rew:46247.0,43149.0')] ).
cnf(46327,plain,
equal(product(a109,a73),product(a118,a71)),
inference(rew,[status(thm),theory(equality)],[46247,44731]),
[iquote('0:Rew:46247.0,44731.0')] ).
cnf(46328,plain,
equal(product(a83,product(a109,a73)),product(a71,a83)),
inference(rew,[status(thm),theory(equality)],[46247,44615]),
[iquote('0:Rew:46247.0,44615.0')] ).
cnf(46342,plain,
equal(product(a108,a73),a110),
inference(rew,[status(thm),theory(equality)],[112,45440]),
[iquote('0:Rew:112.0,45440.0')] ).
cnf(46398,plain,
equal(product(a73,a109),a79),
inference(rew,[status(thm),theory(equality)],[46208,45613]),
[iquote('0:Rew:46208.0,45613.0')] ).
cnf(46418,plain,
equal(product(a71,product(a70,a110)),a82),
inference(rew,[status(thm),theory(equality)],[45779,45556]),
[iquote('0:Rew:45779.0,45556.0')] ).
cnf(46421,plain,
equal(product(a119,a109),a110),
inference(rew,[status(thm),theory(equality)],[357,45785]),
[iquote('0:Rew:357.0,45785.0')] ).
cnf(46423,plain,
equal(product(a118,product(a110,a70)),a112),
inference(rew,[status(thm),theory(equality)],[999,45809]),
[iquote('0:Rew:999.0,45809.0')] ).
cnf(46424,plain,
equal(product(a118,a109),a112),
inference(rew,[status(thm),theory(equality)],[357,46423]),
[iquote('0:Rew:357.0,46423.0')] ).
cnf(46444,plain,
equal(product(a72,a112),a82),
inference(rew,[status(thm),theory(equality)],[46424,45739]),
[iquote('0:Rew:46424.0,45739.0')] ).
cnf(46445,plain,
equal(product(a119,a110),product(a118,a73)),
inference(rew,[status(thm),theory(equality)],[9139,45810]),
[iquote('0:Rew:9139.0,45810.0')] ).
cnf(46469,plain,
equal(product(a110,a82),a112),
inference(rew,[status(thm),theory(equality)],[46444,46175]),
[iquote('0:Rew:46444.0,46175.0')] ).
cnf(46556,plain,
equal(product(product(a124,a14),a32),product(a118,product(a71,a73))),
inference(rew,[status(thm),theory(equality)],[46256,9560]),
[iquote('0:Rew:46256.0,9560.0')] ).
cnf(46561,plain,
equal(product(product(a118,product(a71,a73)),a13),product(a124,a32)),
inference(rew,[status(thm),theory(equality)],[46256,13633]),
[iquote('0:Rew:46256.0,13633.0')] ).
cnf(46587,plain,
equal(product(a108,product(a109,product(a71,a73))),product(product(a101,a32),a108)),
inference(rew,[status(thm),theory(equality)],[46256,43152]),
[iquote('0:Rew:46256.0,43152.0')] ).
cnf(46600,plain,
equal(product(product(a118,a71),a39),a106),
inference(rew,[status(thm),theory(equality)],[46327,44760]),
[iquote('0:Rew:46327.0,44760.0')] ).
cnf(46626,plain,
equal(product(product(a83,product(a118,a71)),a32),product(a88,a40)),
inference(rew,[status(thm),theory(equality)],[46327,44614]),
[iquote('0:Rew:46327.0,44614.0')] ).
cnf(46652,plain,
equal(product(product(a118,a71),product(u,a83)),product(product(a108,u),a83)),
inference(rew,[status(thm),theory(equality)],[46327,44600]),
[iquote('0:Rew:46327.0,44600.0')] ).
cnf(46657,plain,
equal(product(product(a118,a71),product(a83,product(a118,a71))),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[46327,44687]),
[iquote('0:Rew:46327.0,44687.0')] ).
cnf(46715,plain,
equal(product(a118,product(a82,a70)),a110),
inference(rew,[status(thm),theory(equality)],[112,45551]),
[iquote('0:Rew:112.0,45551.0')] ).
cnf(46716,plain,
equal(product(a118,product(a70,a110)),a110),
inference(rew,[status(thm),theory(equality)],[45779,46715]),
[iquote('0:Rew:45779.0,46715.0')] ).
cnf(46717,plain,
equal(product(a108,product(a73,a118)),a119),
inference(rew,[status(thm),theory(equality)],[121,45607]),
[iquote('0:Rew:121.0,45607.0')] ).
cnf(46718,plain,
equal(product(a108,product(a71,a73)),a119),
inference(rew,[status(thm),theory(equality)],[46256,46717]),
[iquote('0:Rew:46256.0,46717.0')] ).
cnf(46739,plain,
equal(product(product(a70,a119),a109),a73),
inference(rew,[status(thm),theory(equality)],[75,45740]),
[iquote('0:Rew:75.0,45740.0')] ).
cnf(46740,plain,
equal(product(a79,a109),a73),
inference(rew,[status(thm),theory(equality)],[45778,46739]),
[iquote('0:Rew:45778.0,46739.0')] ).
cnf(46757,plain,
equal(product(a77,a121),a68),
inference(rew,[status(thm),theory(equality)],[354,45794,326]),
[iquote('0:Rew:354.0,45794.0,326.0,45794.0')] ).
cnf(46785,plain,
equal(product(a118,a110),a109),
inference(rew,[status(thm),theory(equality)],[356,45803,357]),
[iquote('0:Rew:356.0,45803.0,357.0,45803.0')] ).
cnf(46797,plain,
equal(product(a108,a71),product(a119,a110)),
inference(rew,[status(thm),theory(equality)],[3983,45805,356]),
[iquote('0:Rew:3983.0,45805.0,356.0,45805.0')] ).
cnf(46798,plain,
equal(product(a108,a71),product(a118,a73)),
inference(rew,[status(thm),theory(equality)],[46445,46797]),
[iquote('0:Rew:46445.0,46797.0')] ).
cnf(46799,plain,
equal(product(a110,a118),product(a118,a73)),
inference(rew,[status(thm),theory(equality)],[46798,3983]),
[iquote('0:Rew:46798.0,3983.0')] ).
cnf(46827,plain,
equal(product(a109,product(a71,a73)),product(a118,a73)),
inference(rew,[status(thm),theory(equality)],[46256,46321,46798]),
[iquote('0:Rew:46256.0,46321.0,46798.0,46321.0')] ).
cnf(46828,plain,
equal(product(a83,product(a118,a71)),product(a71,a83)),
inference(rew,[status(thm),theory(equality)],[46327,46328]),
[iquote('0:Rew:46327.0,46328.0')] ).
cnf(46860,plain,
equal(product(product(u,a82),a109),product(product(u,a70),a110)),
inference(rew,[status(thm),theory(equality)],[507,45500]),
[iquote('0:Rew:507.0,45500.0')] ).
cnf(46863,plain,
equal(product(product(a110,a32),a74),product(a108,a32)),
inference(rew,[status(thm),theory(equality)],[112,45535]),
[iquote('0:Rew:112.0,45535.0')] ).
cnf(46864,plain,
equal(product(product(a70,a109),a82),product(a73,a110)),
inference(rew,[status(thm),theory(equality)],[112,45540]),
[iquote('0:Rew:112.0,45540.0')] ).
cnf(46865,plain,
equal(product(a82,a82),product(a73,a110)),
inference(rew,[status(thm),theory(equality)],[45428,46864]),
[iquote('0:Rew:45428.0,46864.0')] ).
cnf(46866,plain,
equal(product(a73,a110),a82),
inference(rew,[status(thm),theory(equality)],[1,46865]),
[iquote('0:Rew:1.0,46865.0')] ).
cnf(46874,plain,
equal(product(product(a79,a70),a119),product(a70,product(a71,a70))),
inference(rew,[status(thm),theory(equality)],[506,45615]),
[iquote('0:Rew:506.0,45615.0')] ).
cnf(46875,plain,
equal(product(a71,a119),product(a70,a79)),
inference(rew,[status(thm),theory(equality)],[46247,46874,46208]),
[iquote('0:Rew:46247.0,46874.0,46208.0,46874.0')] ).
cnf(46884,plain,
equal(product(a72,a110),product(a71,a83)),
inference(rew,[status(thm),theory(equality)],[46185,45716,46828,46327]),
[iquote('0:Rew:46185.0,45716.0,46828.0,45716.0,46327.0,45716.0')] ).
cnf(46910,plain,
equal(product(product(u,a79),a119),product(product(u,a70),a118)),
inference(rew,[status(thm),theory(equality)],[1000,45781]),
[iquote('0:Rew:1000.0,45781.0')] ).
cnf(46926,plain,
equal(product(a111,product(a79,product(a73,a70))),a118),
inference(rew,[status(thm),theory(equality)],[356,46031]),
[iquote('0:Rew:356.0,46031.0')] ).
cnf(46927,plain,
equal(product(a111,product(a79,product(a70,a82))),a118),
inference(rew,[status(thm),theory(equality)],[45456,46926]),
[iquote('0:Rew:45456.0,46926.0')] ).
cnf(46928,plain,
equal(product(a79,product(a73,a70)),product(a70,a109)),
inference(rew,[status(thm),theory(equality)],[357,46035]),
[iquote('0:Rew:357.0,46035.0')] ).
cnf(46929,plain,
equal(product(a79,product(a70,a82)),a82),
inference(rew,[status(thm),theory(equality)],[45456,46928,45428]),
[iquote('0:Rew:45456.0,46928.0,45428.0,46928.0')] ).
cnf(46931,plain,
equal(product(a111,a82),a118),
inference(rew,[status(thm),theory(equality)],[46929,46927]),
[iquote('0:Rew:46929.0,46927.0')] ).
cnf(46941,plain,
equal(product(a110,a73),a108),
inference(rew,[status(thm),theory(equality)],[2,46094,3255]),
[iquote('0:Rew:2.0,46094.0,3255.0,46094.0')] ).
cnf(46966,plain,
equal(product(product(a71,a83),a32),product(a88,a40)),
inference(rew,[status(thm),theory(equality)],[46828,46626]),
[iquote('0:Rew:46828.0,46626.0')] ).
cnf(46991,plain,
equal(product(product(u,a110),a73),product(product(u,a73),a108)),
inference(rew,[status(thm),theory(equality)],[112,45527]),
[iquote('0:Rew:112.0,45527.0')] ).
cnf(47150,plain,
equal(product(product(a101,a32),a108),product(a108,product(a118,a73))),
inference(rew,[status(thm),theory(equality)],[46827,46587]),
[iquote('0:Rew:46827.0,46587.0')] ).
cnf(47152,plain,
equal(product(product(a118,a70),a73),product(a101,a32)),
inference(rew,[status(thm),theory(equality)],[45472,46657,46798,46652,46828]),
[iquote('0:Rew:45472.0,46657.0,46798.0,46657.0,46652.0,46657.0,46828.0,46657.0')] ).
cnf(47153,plain,
equal(product(a101,a32),product(a119,a73)),
inference(rew,[status(thm),theory(equality)],[121,47152]),
[iquote('0:Rew:121.0,47152.0')] ).
cnf(47162,plain,
equal(product(product(a119,a73),a108),product(a108,product(a118,a73))),
inference(rew,[status(thm),theory(equality)],[47153,47150]),
[iquote('0:Rew:47153.0,47150.0')] ).
cnf(47477,plain,
equal(product(product(u,product(a119,a109)),a73),product(product(u,a72),product(a118,a109))),
inference(rew,[status(thm),theory(equality)],[75,45758]),
[iquote('0:Rew:75.0,45758.0')] ).
cnf(47478,plain,
equal(product(product(u,a73),a108),product(product(u,a72),a112)),
inference(rew,[status(thm),theory(equality)],[46991,47477,46421,46424]),
[iquote('0:Rew:46991.0,47477.0,46421.0,47477.0,46424.0,47477.0')] ).
cnf(47479,plain,
equal(product(product(a119,a72),a112),product(a108,product(a118,a73))),
inference(rew,[status(thm),theory(equality)],[47478,47162]),
[iquote('0:Rew:47478.0,47162.0')] ).
cnf(47481,plain,
equal(product(a108,product(a118,a73)),a118),
inference(rew,[status(thm),theory(equality)],[46931,47479,46444,16313]),
[iquote('0:Rew:46931.0,47479.0,46444.0,47479.0,16313.0,47479.0')] ).
cnf(47670,plain,
equal(product(product(a83,product(a71,a108)),a71),product(a71,product(a108,a71))),
inference(rew,[status(thm),theory(equality)],[73,45942]),
[iquote('0:Rew:73.0,45942.0')] ).
cnf(47671,plain,
equal(product(a71,product(a118,a73)),product(a73,a73)),
inference(rew,[status(thm),theory(equality)],[46255,47670,46314,46248,46798]),
[iquote('0:Rew:46255.0,47670.0,46314.0,47670.0,46248.0,47670.0,46798.0,47670.0')] ).
cnf(47672,plain,
equal(product(a71,product(a118,a73)),a73),
inference(rew,[status(thm),theory(equality)],[1,47671]),
[iquote('0:Rew:1.0,47671.0')] ).
cnf(48152,plain,
~ equal(tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a122,a125,a129),tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a122,a123,a126,a130)),
inference(rew,[status(thm),theory(equality)],[45776,45430]),
[iquote('0:Rew:45776.0,45430.0')] ).
cnf(48251,plain,
equal(product(a72,a111),a79),
inference(spr,[status(thm),theory(equality)],[46101,2]),
[iquote('0:SpR:46101.0,2.0')] ).
cnf(48621,plain,
equal(product(product(a73,a70),a109),product(a79,a82)),
inference(spr,[status(thm),theory(equality)],[46398,45437]),
[iquote('0:SpR:46398.0,45437.0')] ).
cnf(48633,plain,
equal(product(product(a70,a70),a110),product(a79,a82)),
inference(rew,[status(thm),theory(equality)],[46860,48621,45456]),
[iquote('0:Rew:46860.0,48621.0,45456.0,48621.0')] ).
cnf(48634,plain,
equal(product(a79,a82),product(a70,a110)),
inference(rew,[status(thm),theory(equality)],[1,48633]),
[iquote('0:Rew:1.0,48633.0')] ).
cnf(48686,plain,
equal(product(product(a112,a70),a118),product(a111,a119)),
inference(spr,[status(thm),theory(equality)],[369,46910]),
[iquote('0:SpR:369.0,46910.0')] ).
cnf(48695,plain,
equal(product(a118,product(a73,a118)),a110),
inference(rew,[status(thm),theory(equality)],[725,48686,9139,370]),
[iquote('0:Rew:725.0,48686.0,9139.0,48686.0,370.0,48686.0')] ).
cnf(48696,plain,
equal(product(a118,product(a71,a73)),a110),
inference(rew,[status(thm),theory(equality)],[46256,48695]),
[iquote('0:Rew:46256.0,48695.0')] ).
cnf(48697,plain,
equal(product(product(a124,a14),a32),a110),
inference(rew,[status(thm),theory(equality)],[48696,46556]),
[iquote('0:Rew:48696.0,46556.0')] ).
cnf(48698,plain,
equal(product(a110,a13),product(a124,a32)),
inference(rew,[status(thm),theory(equality)],[48696,46561]),
[iquote('0:Rew:48696.0,46561.0')] ).
cnf(48719,plain,
equal(product(product(a124,a32),a32),product(a121,product(a114,a121))),
inference(rew,[status(thm),theory(equality)],[48698,23314]),
[iquote('0:Rew:48698.0,23314.0')] ).
cnf(48735,plain,
equal(product(a121,product(a114,a121)),a124),
inference(rew,[status(thm),theory(equality)],[2,48719]),
[iquote('0:Rew:2.0,48719.0')] ).
cnf(48814,plain,
equal(product(a118,product(a109,a118)),product(a112,a118)),
inference(spr,[status(thm),theory(equality)],[46424,725]),
[iquote('0:SpR:46424.0,725.0')] ).
cnf(48826,plain,
equal(product(a112,a118),product(a118,a108)),
inference(rew,[status(thm),theory(equality)],[372,48814]),
[iquote('0:Rew:372.0,48814.0')] ).
cnf(48926,plain,
equal(product(product(a110,a118),a83),product(a112,a118)),
inference(spr,[status(thm),theory(equality)],[46469,523]),
[iquote('0:SpR:46469.0,523.0')] ).
cnf(48935,plain,
equal(product(product(a118,a70),a73),product(a118,a108)),
inference(rew,[status(thm),theory(equality)],[45472,48926,46799,48826]),
[iquote('0:Rew:45472.0,48926.0,46799.0,48926.0,48826.0,48926.0')] ).
cnf(48936,plain,
equal(product(a119,a73),product(a118,a108)),
inference(rew,[status(thm),theory(equality)],[121,48935]),
[iquote('0:Rew:121.0,48935.0')] ).
cnf(48937,plain,
equal(product(a101,a32),product(a118,a108)),
inference(rew,[status(thm),theory(equality)],[48936,47153]),
[iquote('0:Rew:48936.0,47153.0')] ).
cnf(49104,plain,
equal(product(a68,a121),a77),
inference(spr,[status(thm),theory(equality)],[46757,2]),
[iquote('0:SpR:46757.0,2.0')] ).
cnf(49106,plain,
equal(product(a77,product(a121,a77)),product(a68,a77)),
inference(spr,[status(thm),theory(equality)],[46757,725]),
[iquote('0:SpR:46757.0,725.0')] ).
cnf(49107,plain,
equal(product(product(a68,u),a121),product(a77,product(u,a121))),
inference(spr,[status(thm),theory(equality)],[46757,726]),
[iquote('0:SpR:46757.0,726.0')] ).
cnf(49109,plain,
equal(product(product(a77,a68),a122),product(a68,a68)),
inference(spr,[status(thm),theory(equality)],[46757,498]),
[iquote('0:SpR:46757.0,498.0')] ).
cnf(49110,plain,
equal(product(product(u,a121),a68),product(product(u,a77),a121)),
inference(spr,[status(thm),theory(equality)],[46757,3]),
[iquote('0:SpR:46757.0,3.0')] ).
cnf(49114,plain,
equal(product(product(u,a121),a77),product(product(u,a68),a121)),
inference(spr,[status(thm),theory(equality)],[46757,582]),
[iquote('0:SpR:46757.0,582.0')] ).
cnf(49117,plain,
equal(product(a122,a121),product(a121,a77)),
inference(rew,[status(thm),theory(equality)],[49104,8120]),
[iquote('0:Rew:49104.0,8120.0')] ).
cnf(49126,plain,
equal(product(product(a75,a115),a122),a68),
inference(rew,[status(thm),theory(equality)],[3024,49109,1]),
[iquote('0:Rew:3024.0,49109.0,1.0,49109.0')] ).
cnf(49127,plain,
equal(product(a122,a124),product(a124,a68)),
inference(rew,[status(thm),theory(equality)],[49126,15712]),
[iquote('0:Rew:49126.0,15712.0')] ).
cnf(49131,plain,
equal(product(a123,a122),product(a124,a68)),
inference(rew,[status(thm),theory(equality)],[49127,15425]),
[iquote('0:Rew:49127.0,15425.0')] ).
cnf(49132,plain,
equal(product(a124,product(a124,a68)),product(a115,a124)),
inference(rew,[status(thm),theory(equality)],[49127,15386]),
[iquote('0:Rew:49127.0,15386.0')] ).
cnf(49133,plain,
equal(product(a122,product(a124,a68)),product(a123,a124)),
inference(rew,[status(thm),theory(equality)],[49127,42518]),
[iquote('0:Rew:49127.0,42518.0')] ).
cnf(49154,plain,
equal(product(product(a122,a123),a124),product(a123,product(a124,a68))),
inference(rew,[status(thm),theory(equality)],[49127,42510]),
[iquote('0:Rew:49127.0,42510.0')] ).
cnf(49159,plain,
equal(product(product(u,product(a123,a124)),product(a124,a68)),product(product(u,a124),a115)),
inference(rew,[status(thm),theory(equality)],[49127,43993]),
[iquote('0:Rew:49127.0,43993.0')] ).
cnf(49162,plain,
equal(product(product(u,a77),a121),product(product(u,a68),a122)),
inference(rew,[status(thm),theory(equality)],[498,49110]),
[iquote('0:Rew:498.0,49110.0')] ).
cnf(49167,plain,
equal(product(product(a76,a68),a121),product(a77,product(a76,a77))),
inference(rew,[status(thm),theory(equality)],[49114,19300]),
[iquote('0:Rew:49114.0,19300.0')] ).
cnf(49170,plain,
equal(product(a77,product(a76,a77)),product(a75,a121)),
inference(rew,[status(thm),theory(equality)],[350,49167]),
[iquote('0:Rew:350.0,49167.0')] ).
cnf(49190,plain,
equal(product(a118,product(a110,a118)),product(a109,a118)),
inference(spr,[status(thm),theory(equality)],[46785,725]),
[iquote('0:SpR:46785.0,725.0')] ).
cnf(49201,plain,
equal(product(a118,product(a110,a118)),a108),
inference(rew,[status(thm),theory(equality)],[372,49190]),
[iquote('0:Rew:372.0,49190.0')] ).
cnf(49202,plain,
equal(product(a118,product(a118,a73)),a108),
inference(rew,[status(thm),theory(equality)],[46799,49201]),
[iquote('0:Rew:46799.0,49201.0')] ).
cnf(49279,plain,
equal(product(a73,product(a110,a73)),product(a82,a73)),
inference(spr,[status(thm),theory(equality)],[46866,725]),
[iquote('0:SpR:46866.0,725.0')] ).
cnf(49290,plain,
equal(product(a82,a73),product(a73,a108)),
inference(rew,[status(thm),theory(equality)],[46941,49279]),
[iquote('0:Rew:46941.0,49279.0')] ).
cnf(49470,plain,
equal(product(a73,product(a111,a82)),product(a79,a82)),
inference(spr,[status(thm),theory(equality)],[48251,694]),
[iquote('0:SpR:48251.0,694.0')] ).
cnf(49476,plain,
equal(product(a79,a82),product(a73,a118)),
inference(rew,[status(thm),theory(equality)],[46931,49470]),
[iquote('0:Rew:46931.0,49470.0')] ).
cnf(49477,plain,
equal(product(a71,a73),product(a70,a110)),
inference(rew,[status(thm),theory(equality)],[48634,49476,46256]),
[iquote('0:Rew:48634.0,49476.0,46256.0,49476.0')] ).
cnf(49478,plain,
equal(product(a73,a118),product(a70,a110)),
inference(rew,[status(thm),theory(equality)],[49477,46256]),
[iquote('0:Rew:49477.0,46256.0')] ).
cnf(49482,plain,
equal(product(a108,product(a70,a110)),a119),
inference(rew,[status(thm),theory(equality)],[49477,46718]),
[iquote('0:Rew:49477.0,46718.0')] ).
cnf(49574,plain,
equal(product(a68,product(a121,a68)),product(a77,a68)),
inference(spr,[status(thm),theory(equality)],[49104,725]),
[iquote('0:SpR:49104.0,725.0')] ).
cnf(49585,plain,
equal(product(a75,a115),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[124,49574,3024]),
[iquote('0:Rew:124.0,49574.0,3024.0,49574.0')] ).
cnf(49586,plain,
equal(product(a77,a68),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[49585,3024]),
[iquote('0:Rew:49585.0,3024.0')] ).
cnf(49588,plain,
equal(product(a123,product(a68,a122)),a115),
inference(rew,[status(thm),theory(equality)],[49585,8858]),
[iquote('0:Rew:49585.0,8858.0')] ).
cnf(49589,plain,
equal(product(a115,product(a68,a122)),a123),
inference(rew,[status(thm),theory(equality)],[49585,8864]),
[iquote('0:Rew:49585.0,8864.0')] ).
cnf(50800,plain,
equal(product(product(a70,a79),a109),product(a72,product(a119,a109))),
inference(spr,[status(thm),theory(equality)],[46875,692]),
[iquote('0:SpR:46875.0,692.0')] ).
cnf(50807,plain,
equal(product(a82,a73),product(a72,a110)),
inference(rew,[status(thm),theory(equality)],[46740,50800,45442,46421]),
[iquote('0:Rew:46740.0,50800.0,45442.0,50800.0,46421.0,50800.0')] ).
cnf(50808,plain,
equal(product(a73,a108),product(a71,a83)),
inference(rew,[status(thm),theory(equality)],[49290,50807,46884]),
[iquote('0:Rew:49290.0,50807.0,46884.0,50807.0')] ).
cnf(51247,plain,
equal(product(a110,a32),product(a124,a14)),
inference(spr,[status(thm),theory(equality)],[48697,2]),
[iquote('0:SpR:48697.0,2.0')] ).
cnf(51264,plain,
equal(product(product(a124,a14),a74),product(a108,a32)),
inference(rew,[status(thm),theory(equality)],[51247,46863]),
[iquote('0:Rew:51247.0,46863.0')] ).
cnf(51266,plain,
equal(product(a117,a116),product(a108,a32)),
inference(rew,[status(thm),theory(equality)],[9561,51264]),
[iquote('0:Rew:9561.0,51264.0')] ).
cnf(51267,plain,
equal(product(a123,a14),product(a108,a32)),
inference(rew,[status(thm),theory(equality)],[51266,7627]),
[iquote('0:Rew:51266.0,7627.0')] ).
cnf(51323,plain,
equal(product(product(a108,a32),a14),a123),
inference(spr,[status(thm),theory(equality)],[51267,2]),
[iquote('0:SpR:51267.0,2.0')] ).
cnf(51335,plain,
equal(product(product(a108,a13),a32),a123),
inference(rew,[status(thm),theory(equality)],[505,51323]),
[iquote('0:Rew:505.0,51323.0')] ).
cnf(51354,plain,
equal(product(product(u,product(a114,a121)),a124),product(product(u,a121),product(a114,a121))),
inference(spr,[status(thm),theory(equality)],[48735,3]),
[iquote('0:SpR:48735.0,3.0')] ).
cnf(51357,plain,
equal(product(product(a121,a121),a114),product(a124,a121)),
inference(spr,[status(thm),theory(equality)],[48735,582]),
[iquote('0:SpR:48735.0,582.0')] ).
cnf(51364,plain,
equal(product(a124,a121),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[15475,51357,1]),
[iquote('0:Rew:15475.0,51357.0,1.0,51357.0')] ).
cnf(51367,plain,
equal(product(product(u,product(a114,a121)),a124),product(product(u,a114),a121)),
inference(rew,[status(thm),theory(equality)],[3,51354]),
[iquote('0:Rew:3.0,51354.0')] ).
cnf(51368,plain,
equal(product(product(u,product(a114,a121)),a124),product(product(u,a77),a76)),
inference(rew,[status(thm),theory(equality)],[23326,51367]),
[iquote('0:Rew:23326.0,51367.0')] ).
cnf(51485,plain,
equal(product(product(a119,a32),a74),product(product(a118,a108),a32)),
inference(spr,[status(thm),theory(equality)],[48936,503]),
[iquote('0:SpR:48936.0,503.0')] ).
cnf(51498,plain,
equal(product(product(a119,a32),a74),product(a117,product(a108,a32))),
inference(rew,[status(thm),theory(equality)],[981,51485]),
[iquote('0:Rew:981.0,51485.0')] ).
cnf(51500,plain,
equal(product(product(a118,a108),a32),a101),
inference(spr,[status(thm),theory(equality)],[48937,2]),
[iquote('0:SpR:48937.0,2.0')] ).
cnf(51513,plain,
equal(product(a117,product(a108,a32)),a101),
inference(rew,[status(thm),theory(equality)],[981,51500]),
[iquote('0:Rew:981.0,51500.0')] ).
cnf(51514,plain,
equal(product(product(a119,a32),a74),a101),
inference(rew,[status(thm),theory(equality)],[51513,51498]),
[iquote('0:Rew:51513.0,51498.0')] ).
cnf(51592,plain,
equal(product(product(a124,a68),a124),a122),
inference(spr,[status(thm),theory(equality)],[49127,2]),
[iquote('0:SpR:49127.0,2.0')] ).
cnf(51605,plain,
equal(product(a124,product(a68,a124)),a122),
inference(rew,[status(thm),theory(equality)],[725,51592]),
[iquote('0:Rew:725.0,51592.0')] ).
cnf(51912,plain,
equal(product(product(a68,a122),a115),a75),
inference(spr,[status(thm),theory(equality)],[49585,2]),
[iquote('0:SpR:49585.0,2.0')] ).
cnf(51914,plain,
equal(product(product(a68,a122),a75),product(a75,product(a115,a75))),
inference(spr,[status(thm),theory(equality)],[49585,725]),
[iquote('0:SpR:49585.0,725.0')] ).
cnf(51918,plain,
equal(product(product(u,a115),product(a68,a122)),product(product(u,a75),a115)),
inference(spr,[status(thm),theory(equality)],[49585,3]),
[iquote('0:SpR:49585.0,3.0')] ).
cnf(51924,plain,
equal(product(product(a68,a124),a122),a75),
inference(rew,[status(thm),theory(equality)],[8817,51912]),
[iquote('0:Rew:8817.0,51912.0')] ).
cnf(51925,plain,
equal(product(product(a121,a124),a122),product(a123,a75)),
inference(rew,[status(thm),theory(equality)],[51924,8944]),
[iquote('0:Rew:51924.0,8944.0')] ).
cnf(51926,plain,
equal(product(product(a121,a124),a122),a124),
inference(rew,[status(thm),theory(equality)],[126,51925]),
[iquote('0:Rew:126.0,51925.0')] ).
cnf(51927,plain,
equal(product(product(a68,a122),a75),product(a75,a122)),
inference(rew,[status(thm),theory(equality)],[7602,51914]),
[iquote('0:Rew:7602.0,51914.0')] ).
cnf(51928,plain,
equal(product(product(a68,a75),a115),product(a75,a122)),
inference(rew,[status(thm),theory(equality)],[7679,51927]),
[iquote('0:Rew:7679.0,51927.0')] ).
cnf(51969,plain,
equal(product(product(product(u,a122),a123),product(a68,a122)),product(product(product(u,a68),a122),a115)),
inference(spr,[status(thm),theory(equality)],[49588,436]),
[iquote('0:SpR:49588.0,436.0')] ).
cnf(51984,plain,
equal(product(product(product(u,a122),a123),product(a68,a122)),product(product(product(u,a68),a124),a122)),
inference(rew,[status(thm),theory(equality)],[8817,51969]),
[iquote('0:Rew:8817.0,51969.0')] ).
cnf(51985,plain,
equal(product(product(product(u,a68),a124),a122),product(u,product(a75,a122))),
inference(rew,[status(thm),theory(equality)],[32053,51984,962,958,51918,22350]),
[iquote('0:Rew:32053.0,51984.0,962.0,51984.0,958.0,51984.0,51918.0,51984.0,22350.0,51984.0')] ).
cnf(52268,plain,
equal(product(product(a71,a83),a32),product(a74,product(a108,a32))),
inference(spr,[status(thm),theory(equality)],[50808,647]),
[iquote('0:SpR:50808.0,647.0')] ).
cnf(52280,plain,
equal(product(a74,product(a108,a32)),product(a88,a40)),
inference(rew,[status(thm),theory(equality)],[46966,52268]),
[iquote('0:Rew:46966.0,52268.0')] ).
cnf(52605,plain,
equal(product(product(product(a119,a32),a14),a75),product(a101,a14)),
inference(spr,[status(thm),theory(equality)],[51514,513]),
[iquote('0:SpR:51514.0,513.0')] ).
cnf(52616,plain,
equal(product(a121,a75),a100),
inference(rew,[status(thm),theory(equality)],[123,52605,122,505,361]),
[iquote('0:Rew:123.0,52605.0,122.0,52605.0,505.0,52605.0,361.0,52605.0')] ).
cnf(52628,plain,
equal(product(product(a121,a68),a76),product(a100,a68)),
inference(spr,[status(thm),theory(equality)],[52616,500]),
[iquote('0:SpR:52616.0,500.0')] ).
cnf(52629,plain,
equal(product(product(u,a121),a75),product(product(u,a75),a100)),
inference(spr,[status(thm),theory(equality)],[52616,3]),
[iquote('0:SpR:52616.0,3.0')] ).
cnf(52635,plain,
equal(product(a122,a76),product(a100,a68)),
inference(rew,[status(thm),theory(equality)],[124,52628]),
[iquote('0:Rew:124.0,52628.0')] ).
cnf(52684,plain,
equal(product(a122,product(a68,a124)),a124),
inference(spr,[status(thm),theory(equality)],[51605,2]),
[iquote('0:SpR:51605.0,2.0')] ).
cnf(52693,plain,
equal(product(product(product(u,a124),a124),product(a68,a124)),product(product(product(u,a68),a124),a122)),
inference(spr,[status(thm),theory(equality)],[51605,436]),
[iquote('0:SpR:51605.0,436.0')] ).
cnf(52707,plain,
equal(product(product(product(u,a68),a124),a122),product(u,product(a68,a124))),
inference(rew,[status(thm),theory(equality)],[2,52693]),
[iquote('0:Rew:2.0,52693.0')] ).
cnf(52708,plain,
equal(product(u,product(a75,a122)),product(u,product(a68,a124))),
inference(rew,[status(thm),theory(equality)],[51985,52707]),
[iquote('0:Rew:51985.0,52707.0')] ).
cnf(52718,plain,
equal(product(product(u,a124),product(a68,a124)),product(product(u,a75),a115)),
inference(rew,[status(thm),theory(equality)],[52708,8883]),
[iquote('0:Rew:52708.0,8883.0')] ).
cnf(52720,plain,
equal(product(product(u,a75),a115),product(product(u,a68),a124)),
inference(rew,[status(thm),theory(equality)],[3,52718]),
[iquote('0:Rew:3.0,52718.0')] ).
cnf(52721,plain,
equal(product(product(a68,a68),a124),product(a75,a122)),
inference(rew,[status(thm),theory(equality)],[52720,51928]),
[iquote('0:Rew:52720.0,51928.0')] ).
cnf(52725,plain,
equal(product(product(u,a122),a75),product(product(u,a68),a124)),
inference(rew,[status(thm),theory(equality)],[52720,7679]),
[iquote('0:Rew:52720.0,7679.0')] ).
cnf(52733,plain,
equal(product(a75,a122),product(a68,a124)),
inference(rew,[status(thm),theory(equality)],[1,52721]),
[iquote('0:Rew:1.0,52721.0')] ).
cnf(52744,plain,
equal(product(product(u,product(product(a68,a124),v)),product(a124,v)),product(product(u,product(a75,v)),product(a122,v))),
inference(rew,[status(thm),theory(equality)],[52733,28175]),
[iquote('0:Rew:52733.0,28175.0')] ).
cnf(52761,plain,
equal(product(product(u,product(a124,v)),product(a68,v)),product(product(u,product(a75,v)),product(a122,v))),
inference(rew,[status(thm),theory(equality)],[17042,52744]),
[iquote('0:Rew:17042.0,52744.0')] ).
cnf(52763,plain,
equal(product(product(u,product(a75,a76)),product(a122,a76)),product(product(u,product(a68,a76)),product(a123,a68))),
inference(rew,[status(thm),theory(equality)],[52761,24833]),
[iquote('0:Rew:52761.0,24833.0')] ).
cnf(52765,plain,
equal(product(product(u,product(a75,a76)),product(a100,a68)),product(product(u,product(a68,a76)),product(a123,a68))),
inference(rew,[status(thm),theory(equality)],[52635,52763]),
[iquote('0:Rew:52635.0,52763.0')] ).
cnf(52780,plain,
equal(product(product(a68,a124),product(a122,product(a68,a124))),product(a75,product(a68,a124))),
inference(spr,[status(thm),theory(equality)],[51924,725]),
[iquote('0:SpR:51924.0,725.0')] ).
cnf(52785,plain,
equal(product(a68,product(a122,a124)),product(a75,a124)),
inference(spr,[status(thm),theory(equality)],[51924,726]),
[iquote('0:SpR:51924.0,726.0')] ).
cnf(52793,plain,
equal(product(a68,product(a124,a68)),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[49127,52785]),
[iquote('0:Rew:49127.0,52785.0')] ).
cnf(52796,plain,
equal(product(product(a68,a124),a124),product(a75,product(a68,a124))),
inference(rew,[status(thm),theory(equality)],[52684,52780]),
[iquote('0:Rew:52684.0,52780.0')] ).
cnf(52797,plain,
equal(product(a75,product(a68,a124)),a68),
inference(rew,[status(thm),theory(equality)],[2,52796]),
[iquote('0:Rew:2.0,52796.0')] ).
cnf(52804,plain,
equal(product(a121,a124),product(a124,a122)),
inference(spr,[status(thm),theory(equality)],[51926,2]),
[iquote('0:SpR:51926.0,2.0')] ).
cnf(52814,plain,
equal(product(product(product(a121,a124),a124),a122),product(a124,a115)),
inference(spr,[status(thm),theory(equality)],[51926,8817]),
[iquote('0:SpR:51926.0,8817.0')] ).
cnf(52819,plain,
equal(product(a121,a124),a115),
inference(rew,[status(thm),theory(equality)],[8804,52804]),
[iquote('0:Rew:8804.0,52804.0')] ).
cnf(52824,plain,
equal(product(a121,a122),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[2,52814]),
[iquote('0:Rew:2.0,52814.0')] ).
cnf(52825,plain,
equal(product(a122,product(a68,a122)),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[52824,8916]),
[iquote('0:Rew:52824.0,8916.0')] ).
cnf(52848,plain,
equal(product(a115,a124),a121),
inference(spr,[status(thm),theory(equality)],[52819,2]),
[iquote('0:SpR:52819.0,2.0')] ).
cnf(52850,plain,
equal(product(a121,product(a124,a121)),product(a115,a121)),
inference(spr,[status(thm),theory(equality)],[52819,725]),
[iquote('0:SpR:52819.0,725.0')] ).
cnf(52857,plain,
equal(product(a122,product(a124,a68)),product(a115,a68)),
inference(spr,[status(thm),theory(equality)],[52819,642]),
[iquote('0:SpR:52819.0,642.0')] ).
cnf(52858,plain,
equal(product(product(u,a115),a124),product(product(u,a124),a121)),
inference(spr,[status(thm),theory(equality)],[52819,582]),
[iquote('0:SpR:52819.0,582.0')] ).
cnf(52863,plain,
equal(product(a124,product(a124,a68)),a121),
inference(rew,[status(thm),theory(equality)],[52848,49132]),
[iquote('0:Rew:52848.0,49132.0')] ).
cnf(52869,plain,
equal(product(a121,product(a114,a77)),product(a115,a121)),
inference(rew,[status(thm),theory(equality)],[51364,52850]),
[iquote('0:Rew:51364.0,52850.0')] ).
cnf(52870,plain,
equal(product(a122,product(a124,a68)),a114),
inference(rew,[status(thm),theory(equality)],[349,52857]),
[iquote('0:Rew:349.0,52857.0')] ).
cnf(52871,plain,
equal(product(a123,a124),a114),
inference(rew,[status(thm),theory(equality)],[49133,52870]),
[iquote('0:Rew:49133.0,52870.0')] ).
cnf(52872,plain,
equal(product(a124,product(a75,a124)),a114),
inference(rew,[status(thm),theory(equality)],[52871,14249]),
[iquote('0:Rew:52871.0,14249.0')] ).
cnf(52873,plain,
equal(product(a122,a123),product(a114,a122)),
inference(rew,[status(thm),theory(equality)],[52871,16351]),
[iquote('0:Rew:52871.0,16351.0')] ).
cnf(52878,plain,
equal(product(product(u,a114),product(a124,a68)),product(product(u,a124),a115)),
inference(rew,[status(thm),theory(equality)],[52871,49159]),
[iquote('0:Rew:52871.0,49159.0')] ).
cnf(52890,plain,
equal(product(a122,product(a124,a68)),a114),
inference(rew,[status(thm),theory(equality)],[52871,49133]),
[iquote('0:Rew:52871.0,49133.0')] ).
cnf(52897,plain,
equal(product(a123,product(a124,a115)),product(a114,a122)),
inference(rew,[status(thm),theory(equality)],[52873,15477]),
[iquote('0:Rew:52873.0,15477.0')] ).
cnf(52909,plain,
equal(product(product(a114,a122),a124),product(a123,product(a124,a68))),
inference(rew,[status(thm),theory(equality)],[52873,49154]),
[iquote('0:Rew:52873.0,49154.0')] ).
cnf(52919,plain,
equal(product(product(a114,a115),a122),product(a123,product(a124,a68))),
inference(rew,[status(thm),theory(equality)],[8826,52909]),
[iquote('0:Rew:8826.0,52909.0')] ).
cnf(52938,plain,
equal(product(product(a124,a124),a75),product(a114,a124)),
inference(spr,[status(thm),theory(equality)],[52872,582]),
[iquote('0:SpR:52872.0,582.0')] ).
cnf(52945,plain,
equal(product(a114,a124),a123),
inference(rew,[status(thm),theory(equality)],[346,52938,1]),
[iquote('0:Rew:346.0,52938.0,1.0,52938.0')] ).
cnf(52986,plain,
equal(product(product(a114,u),a124),product(a123,product(u,a124))),
inference(spr,[status(thm),theory(equality)],[52871,726]),
[iquote('0:SpR:52871.0,726.0')] ).
cnf(52992,plain,
equal(product(a124,product(a124,a75)),product(a114,a75)),
inference(spr,[status(thm),theory(equality)],[52871,640]),
[iquote('0:SpR:52871.0,640.0')] ).
cnf(52993,plain,
equal(product(product(u,a124),a123),product(product(u,a114),a124)),
inference(spr,[status(thm),theory(equality)],[52871,582]),
[iquote('0:SpR:52871.0,582.0')] ).
cnf(52996,plain,
equal(product(a124,a123),product(a114,a75)),
inference(rew,[status(thm),theory(equality)],[346,52992]),
[iquote('0:Rew:346.0,52992.0')] ).
cnf(53017,plain,
equal(product(a114,product(a124,a114)),product(a123,a114)),
inference(spr,[status(thm),theory(equality)],[52945,725]),
[iquote('0:SpR:52945.0,725.0')] ).
cnf(53024,plain,
equal(product(a115,product(a124,a68)),product(a123,a68)),
inference(spr,[status(thm),theory(equality)],[52945,643]),
[iquote('0:SpR:52945.0,643.0')] ).
cnf(53275,plain,
equal(product(a124,product(product(a124,a115),a75)),product(product(a114,a122),a75)),
inference(spr,[status(thm),theory(equality)],[52897,640]),
[iquote('0:SpR:52897.0,640.0')] ).
cnf(53282,plain,
equal(product(a124,product(a123,product(a115,a75))),product(a123,product(a68,a124))),
inference(rew,[status(thm),theory(equality)],[957,53275,52986,52725]),
[iquote('0:Rew:957.0,53275.0,52986.0,53275.0,52725.0,53275.0')] ).
cnf(53283,plain,
equal(product(a123,product(a68,a124)),product(a124,product(a124,a68))),
inference(rew,[status(thm),theory(equality)],[49131,53282,7602]),
[iquote('0:Rew:49131.0,53282.0,7602.0,53282.0')] ).
cnf(53284,plain,
equal(product(a123,product(a68,a124)),a121),
inference(rew,[status(thm),theory(equality)],[52863,53283]),
[iquote('0:Rew:52863.0,53283.0')] ).
cnf(53322,plain,
equal(product(product(a68,a124),a75),product(a75,product(a122,a75))),
inference(spr,[status(thm),theory(equality)],[52733,725]),
[iquote('0:SpR:52733.0,725.0')] ).
cnf(53327,plain,
equal(product(product(a68,a124),a68),product(a76,product(a122,a68))),
inference(spr,[status(thm),theory(equality)],[52733,644]),
[iquote('0:SpR:52733.0,644.0')] ).
cnf(53333,plain,
equal(product(product(a68,a124),a75),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[49585,53322,7617]),
[iquote('0:Rew:49585.0,53322.0,7617.0,53322.0')] ).
cnf(53334,plain,
equal(product(product(a68,a75),a123),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[958,53333]),
[iquote('0:Rew:958.0,53333.0')] ).
cnf(53335,plain,
equal(product(a68,product(a124,a68)),product(a76,a121)),
inference(rew,[status(thm),theory(equality)],[725,53327,348]),
[iquote('0:Rew:725.0,53327.0,348.0,53327.0')] ).
cnf(53336,plain,
equal(product(a76,a121),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[52793,53335]),
[iquote('0:Rew:52793.0,53335.0')] ).
cnf(53337,plain,
equal(product(a77,a76),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[53336,15469]),
[iquote('0:Rew:53336.0,15469.0')] ).
cnf(53338,plain,
equal(product(a121,product(a75,a124)),product(a114,a121)),
inference(rew,[status(thm),theory(equality)],[53336,15382]),
[iquote('0:Rew:53336.0,15382.0')] ).
cnf(53368,plain,
equal(product(a68,product(a68,a124)),a75),
inference(spr,[status(thm),theory(equality)],[52797,2]),
[iquote('0:SpR:52797.0,2.0')] ).
cnf(53379,plain,
equal(product(a76,product(product(a68,a124),a68)),product(a68,a68)),
inference(spr,[status(thm),theory(equality)],[52797,644]),
[iquote('0:SpR:52797.0,644.0')] ).
cnf(53386,plain,
equal(product(a76,product(a68,product(a124,a68))),a68),
inference(rew,[status(thm),theory(equality)],[725,53379,1]),
[iquote('0:Rew:725.0,53379.0,1.0,53379.0')] ).
cnf(53387,plain,
equal(product(a76,product(a75,a124)),a68),
inference(rew,[status(thm),theory(equality)],[52793,53386]),
[iquote('0:Rew:52793.0,53386.0')] ).
cnf(53423,plain,
equal(product(product(a75,a124),a76),a77),
inference(spr,[status(thm),theory(equality)],[53337,2]),
[iquote('0:SpR:53337.0,2.0')] ).
cnf(53443,plain,
equal(product(product(a124,a115),a68),product(a122,product(a122,a68))),
inference(spr,[status(thm),theory(equality)],[52824,642]),
[iquote('0:SpR:52824.0,642.0')] ).
cnf(53452,plain,
equal(product(product(a124,a115),a68),product(a121,a77)),
inference(rew,[status(thm),theory(equality)],[49117,53443,348]),
[iquote('0:Rew:49117.0,53443.0,348.0,53443.0')] ).
cnf(53453,plain,
equal(product(product(a124,a68),a114),product(a121,a77)),
inference(rew,[status(thm),theory(equality)],[970,53452]),
[iquote('0:Rew:970.0,53452.0')] ).
cnf(53513,plain,
equal(product(a114,product(a124,a68)),a122),
inference(spr,[status(thm),theory(equality)],[52890,2]),
[iquote('0:SpR:52890.0,2.0')] ).
cnf(53743,plain,
equal(product(a124,product(product(a68,a124),a75)),product(a121,a75)),
inference(spr,[status(thm),theory(equality)],[53284,640]),
[iquote('0:SpR:53284.0,640.0')] ).
cnf(53749,plain,
equal(product(a124,product(product(a68,a124),a75)),a100),
inference(rew,[status(thm),theory(equality)],[52616,53743]),
[iquote('0:Rew:52616.0,53743.0')] ).
cnf(53750,plain,
equal(product(a124,product(a68,a122)),a100),
inference(rew,[status(thm),theory(equality)],[53334,53749,958]),
[iquote('0:Rew:53334.0,53749.0,958.0,53749.0')] ).
cnf(53755,plain,
equal(product(product(a75,a124),a121),a76),
inference(spr,[status(thm),theory(equality)],[53336,2]),
[iquote('0:SpR:53336.0,2.0')] ).
cnf(53763,plain,
equal(product(product(a75,a124),a114),product(a77,product(a121,a114))),
inference(spr,[status(thm),theory(equality)],[53336,693]),
[iquote('0:SpR:53336.0,693.0')] ).
cnf(53770,plain,
equal(product(product(a75,a124),a114),product(a76,a77)),
inference(rew,[status(thm),theory(equality)],[14398,53763,15475]),
[iquote('0:Rew:14398.0,53763.0,15475.0,53763.0')] ).
cnf(53775,plain,
equal(product(a68,product(product(a68,a124),a68)),product(a75,a68)),
inference(spr,[status(thm),theory(equality)],[53368,725]),
[iquote('0:SpR:53368.0,725.0')] ).
cnf(53789,plain,
equal(product(a68,product(a68,product(a124,a68))),a76),
inference(rew,[status(thm),theory(equality)],[725,53775,78]),
[iquote('0:Rew:725.0,53775.0,78.0,53775.0')] ).
cnf(53790,plain,
equal(product(a68,product(a75,a124)),a76),
inference(rew,[status(thm),theory(equality)],[52793,53789]),
[iquote('0:Rew:52793.0,53789.0')] ).
cnf(53864,plain,
equal(product(a76,product(product(a75,a124),a76)),product(a68,a76)),
inference(spr,[status(thm),theory(equality)],[53387,725]),
[iquote('0:SpR:53387.0,725.0')] ).
cnf(53870,plain,
equal(product(product(a76,a124),a75),product(a68,a124)),
inference(spr,[status(thm),theory(equality)],[53387,582]),
[iquote('0:SpR:53387.0,582.0')] ).
cnf(53873,plain,
equal(product(a77,product(product(a75,a124),a114)),product(a68,a114)),
inference(spr,[status(thm),theory(equality)],[53387,693]),
[iquote('0:SpR:53387.0,693.0')] ).
cnf(53877,plain,
equal(product(product(a76,a75),a123),product(a68,a124)),
inference(rew,[status(thm),theory(equality)],[958,53870]),
[iquote('0:Rew:958.0,53870.0')] ).
cnf(53878,plain,
equal(product(a76,a77),product(a68,a76)),
inference(rew,[status(thm),theory(equality)],[53423,53864]),
[iquote('0:Rew:53423.0,53864.0')] ).
cnf(53879,plain,
equal(product(a77,product(a114,a77)),product(a68,a76)),
inference(rew,[status(thm),theory(equality)],[53878,14398]),
[iquote('0:Rew:53878.0,14398.0')] ).
cnf(53881,plain,
equal(product(product(u,product(a68,a76)),product(a121,a77)),product(product(u,a76),a114)),
inference(rew,[status(thm),theory(equality)],[53878,39992]),
[iquote('0:Rew:53878.0,39992.0')] ).
cnf(53882,plain,
equal(product(product(u,product(a68,a76)),product(a114,a77)),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[53878,39994]),
[iquote('0:Rew:53878.0,39994.0')] ).
cnf(53887,plain,
equal(product(a77,product(a68,a76)),product(a75,a121)),
inference(rew,[status(thm),theory(equality)],[53878,49170]),
[iquote('0:Rew:53878.0,49170.0')] ).
cnf(53888,plain,
equal(product(product(a75,a124),a114),product(a68,a76)),
inference(rew,[status(thm),theory(equality)],[53878,53770]),
[iquote('0:Rew:53878.0,53770.0')] ).
cnf(53890,plain,
equal(product(a75,a121),product(a68,a114)),
inference(rew,[status(thm),theory(equality)],[53887,53873,53888]),
[iquote('0:Rew:53887.0,53873.0,53888.0,53873.0')] ).
cnf(53893,plain,
equal(product(a77,product(a68,a76)),product(a68,a114)),
inference(rew,[status(thm),theory(equality)],[53890,53887]),
[iquote('0:Rew:53890.0,53887.0')] ).
cnf(53925,plain,
equal(product(a114,product(product(a124,a68),a114)),product(a122,a114)),
inference(spr,[status(thm),theory(equality)],[53513,725]),
[iquote('0:SpR:53513.0,725.0')] ).
cnf(53939,plain,
equal(product(a114,product(a121,a77)),product(a122,a114)),
inference(rew,[status(thm),theory(equality)],[53453,53925]),
[iquote('0:Rew:53453.0,53925.0')] ).
cnf(53980,plain,
equal(product(product(a77,a77),a114),product(product(a68,a76),a77)),
inference(spr,[status(thm),theory(equality)],[53879,582]),
[iquote('0:SpR:53879.0,582.0')] ).
cnf(53987,plain,
equal(product(product(a68,a76),a77),a76),
inference(rew,[status(thm),theory(equality)],[399,53980,1]),
[iquote('0:Rew:399.0,53980.0,1.0,53980.0')] ).
cnf(54023,plain,
equal(product(a100,product(a68,a122)),a124),
inference(spr,[status(thm),theory(equality)],[53750,2]),
[iquote('0:SpR:53750.0,2.0')] ).
cnf(54025,plain,
equal(product(a124,product(product(a68,a122),a124)),product(a100,a124)),
inference(spr,[status(thm),theory(equality)],[53750,725]),
[iquote('0:SpR:53750.0,725.0')] ).
cnf(54030,plain,
equal(product(product(a124,a122),a68),product(a100,a122)),
inference(spr,[status(thm),theory(equality)],[53750,582]),
[iquote('0:SpR:53750.0,582.0')] ).
cnf(54038,plain,
equal(product(a100,a122),a114),
inference(rew,[status(thm),theory(equality)],[349,54030,8804]),
[iquote('0:Rew:349.0,54030.0,8804.0,54030.0')] ).
cnf(54040,plain,
equal(product(a124,product(product(a68,a122),a124)),a99),
inference(rew,[status(thm),theory(equality)],[386,54025]),
[iquote('0:Rew:386.0,54025.0')] ).
cnf(54041,plain,
equal(product(a124,product(product(a68,a115),a122)),a99),
inference(rew,[status(thm),theory(equality)],[8826,54040]),
[iquote('0:Rew:8826.0,54040.0')] ).
cnf(54047,plain,
equal(product(a114,a122),a100),
inference(spr,[status(thm),theory(equality)],[54038,2]),
[iquote('0:SpR:54038.0,2.0')] ).
cnf(54050,plain,
equal(product(product(a114,u),a122),product(a100,product(u,a122))),
inference(spr,[status(thm),theory(equality)],[54038,726]),
[iquote('0:SpR:54038.0,726.0')] ).
cnf(54055,plain,
equal(product(product(a100,a124),a122),product(a114,a115)),
inference(spr,[status(thm),theory(equality)],[54038,8817]),
[iquote('0:SpR:54038.0,8817.0')] ).
cnf(54061,plain,
equal(product(a122,a123),a100),
inference(rew,[status(thm),theory(equality)],[54047,52873]),
[iquote('0:Rew:54047.0,52873.0')] ).
cnf(54086,plain,
equal(product(a99,a122),product(a114,a115)),
inference(rew,[status(thm),theory(equality)],[386,54055]),
[iquote('0:Rew:386.0,54055.0')] ).
cnf(54088,plain,
equal(product(a123,product(a124,a68)),product(a100,product(a115,a122))),
inference(rew,[status(thm),theory(equality)],[54050,52919]),
[iquote('0:Rew:54050.0,52919.0')] ).
cnf(54098,plain,
equal(product(a123,product(a124,a68)),a99),
inference(rew,[status(thm),theory(equality)],[386,54088,8809]),
[iquote('0:Rew:386.0,54088.0,8809.0,54088.0')] ).
cnf(54107,plain,
equal(product(a115,product(a122,a68)),product(a100,a68)),
inference(spr,[status(thm),theory(equality)],[54047,643]),
[iquote('0:SpR:54047.0,643.0')] ).
cnf(54108,plain,
equal(product(product(a114,a124),a122),product(a100,a115)),
inference(spr,[status(thm),theory(equality)],[54047,8817]),
[iquote('0:SpR:54047.0,8817.0')] ).
cnf(54113,plain,
equal(product(a115,a121),product(a100,a68)),
inference(rew,[status(thm),theory(equality)],[348,54107]),
[iquote('0:Rew:348.0,54107.0')] ).
cnf(54114,plain,
equal(product(a121,product(a114,a77)),product(a100,a68)),
inference(rew,[status(thm),theory(equality)],[54113,52869]),
[iquote('0:Rew:54113.0,52869.0')] ).
cnf(54115,plain,
equal(product(a124,a68),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[49131,54108,52945]),
[iquote('0:Rew:49131.0,54108.0,52945.0,54108.0')] ).
cnf(54116,plain,
equal(product(product(a123,a68),a76),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[54115,3070]),
[iquote('0:Rew:54115.0,3070.0')] ).
cnf(54117,plain,
equal(product(product(a100,a115),a76),product(a123,a68)),
inference(rew,[status(thm),theory(equality)],[54115,3071]),
[iquote('0:Rew:54115.0,3071.0')] ).
cnf(54118,plain,
equal(product(a123,a122),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[54115,49131]),
[iquote('0:Rew:54115.0,49131.0')] ).
cnf(54119,plain,
equal(product(a122,a124),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[54115,49127]),
[iquote('0:Rew:54115.0,49127.0')] ).
cnf(54170,plain,
equal(product(product(u,a114),product(a100,a115)),product(product(u,a124),a115)),
inference(rew,[status(thm),theory(equality)],[54115,52878]),
[iquote('0:Rew:54115.0,52878.0')] ).
cnf(54174,plain,
equal(product(a115,product(a100,a115)),product(a123,a68)),
inference(rew,[status(thm),theory(equality)],[54115,53024]),
[iquote('0:Rew:54115.0,53024.0')] ).
cnf(54178,plain,
equal(product(product(a100,a115),a114),product(a121,a77)),
inference(rew,[status(thm),theory(equality)],[54115,53453]),
[iquote('0:Rew:54115.0,53453.0')] ).
cnf(54182,plain,
equal(product(a123,product(a100,a115)),a99),
inference(rew,[status(thm),theory(equality)],[54115,54098]),
[iquote('0:Rew:54115.0,54098.0')] ).
cnf(54266,plain,
equal(product(a75,product(a121,a124)),product(a76,a124)),
inference(spr,[status(thm),theory(equality)],[53755,726]),
[iquote('0:SpR:53755.0,726.0')] ).
cnf(54273,plain,
equal(product(a76,a124),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[49585,54266,52819]),
[iquote('0:Rew:49585.0,54266.0,52819.0,54266.0')] ).
cnf(54353,plain,
equal(product(product(a68,a76),a114),product(a77,product(a77,a114))),
inference(spr,[status(thm),theory(equality)],[53878,693]),
[iquote('0:SpR:53878.0,693.0')] ).
cnf(54360,plain,
equal(product(product(a68,a76),a114),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[53337,54353,399]),
[iquote('0:Rew:53337.0,54353.0,399.0,54353.0')] ).
cnf(54365,plain,
equal(product(product(a68,a114),a121),a75),
inference(spr,[status(thm),theory(equality)],[53890,2]),
[iquote('0:SpR:53890.0,2.0')] ).
cnf(54370,plain,
equal(product(product(a75,a68),a122),product(product(a68,a114),a68)),
inference(spr,[status(thm),theory(equality)],[53890,498]),
[iquote('0:SpR:53890.0,498.0')] ).
cnf(54378,plain,
equal(product(a77,product(a114,a121)),a75),
inference(rew,[status(thm),theory(equality)],[49107,54365]),
[iquote('0:Rew:49107.0,54365.0')] ).
cnf(54380,plain,
equal(product(a76,a122),product(a68,a115)),
inference(rew,[status(thm),theory(equality)],[78,54370,117,725]),
[iquote('0:Rew:78.0,54370.0,117.0,54370.0,725.0,54370.0')] ).
cnf(54386,plain,
equal(product(product(a68,a76),product(a77,product(a68,a76))),product(a76,product(a68,a76))),
inference(spr,[status(thm),theory(equality)],[53987,725]),
[iquote('0:SpR:53987.0,725.0')] ).
cnf(54402,plain,
equal(product(product(a68,a76),product(a77,product(a68,a76))),product(a75,a76)),
inference(rew,[status(thm),theory(equality)],[14259,54386]),
[iquote('0:Rew:14259.0,54386.0')] ).
cnf(54403,plain,
equal(product(product(a68,a76),product(a68,a114)),product(a75,a76)),
inference(rew,[status(thm),theory(equality)],[53893,54402]),
[iquote('0:Rew:53893.0,54402.0')] ).
cnf(54438,plain,
equal(product(product(a100,a115),a68),product(a123,product(a76,a68))),
inference(spr,[status(thm),theory(equality)],[54116,726]),
[iquote('0:SpR:54116.0,726.0')] ).
cnf(54445,plain,
equal(product(product(a100,a115),a68),a124),
inference(rew,[status(thm),theory(equality)],[126,54438,350]),
[iquote('0:Rew:126.0,54438.0,350.0,54438.0')] ).
cnf(54446,plain,
equal(product(product(a100,a68),a114),a124),
inference(rew,[status(thm),theory(equality)],[970,54445]),
[iquote('0:Rew:970.0,54445.0')] ).
cnf(54499,plain,
equal(product(product(a114,a115),a124),product(a100,product(a122,a124))),
inference(spr,[status(thm),theory(equality)],[54086,680]),
[iquote('0:SpR:54086.0,680.0')] ).
cnf(54507,plain,
equal(product(a123,product(a115,a124)),product(a100,product(a100,a115))),
inference(rew,[status(thm),theory(equality)],[52986,54499,54119]),
[iquote('0:Rew:52986.0,54499.0,54119.0,54499.0')] ).
cnf(54508,plain,
equal(product(a100,product(a100,a115)),product(a123,a121)),
inference(rew,[status(thm),theory(equality)],[52848,54507]),
[iquote('0:Rew:52848.0,54507.0')] ).
cnf(54549,plain,
equal(product(product(a100,a115),a124),product(a124,product(a68,a124))),
inference(spr,[status(thm),theory(equality)],[54115,725]),
[iquote('0:SpR:54115.0,725.0')] ).
cnf(54560,plain,
equal(product(product(a100,a115),a124),a122),
inference(rew,[status(thm),theory(equality)],[51605,54549]),
[iquote('0:Rew:51605.0,54549.0')] ).
cnf(54561,plain,
equal(product(product(a100,a124),a121),a122),
inference(rew,[status(thm),theory(equality)],[52858,54560]),
[iquote('0:Rew:52858.0,54560.0')] ).
cnf(54562,plain,
equal(product(a99,a121),a122),
inference(rew,[status(thm),theory(equality)],[386,54561]),
[iquote('0:Rew:386.0,54561.0')] ).
cnf(54571,plain,
equal(product(a122,a121),a99),
inference(spr,[status(thm),theory(equality)],[54562,2]),
[iquote('0:SpR:54562.0,2.0')] ).
cnf(54584,plain,
equal(product(a121,a77),a99),
inference(rew,[status(thm),theory(equality)],[49117,54571]),
[iquote('0:Rew:49117.0,54571.0')] ).
cnf(54586,plain,
equal(product(a77,a99),product(a68,a77)),
inference(rew,[status(thm),theory(equality)],[54584,49106]),
[iquote('0:Rew:54584.0,49106.0')] ).
cnf(54599,plain,
equal(product(product(u,product(a68,a76)),a99),product(product(u,a76),a114)),
inference(rew,[status(thm),theory(equality)],[54584,53881]),
[iquote('0:Rew:54584.0,53881.0')] ).
cnf(54600,plain,
equal(product(a122,a114),product(a114,a99)),
inference(rew,[status(thm),theory(equality)],[54584,53939]),
[iquote('0:Rew:54584.0,53939.0')] ).
cnf(54601,plain,
equal(product(product(a100,a115),a114),a99),
inference(rew,[status(thm),theory(equality)],[54584,54178]),
[iquote('0:Rew:54584.0,54178.0')] ).
cnf(54610,plain,
equal(product(a99,a77),a121),
inference(spr,[status(thm),theory(equality)],[54584,2]),
[iquote('0:SpR:54584.0,2.0')] ).
cnf(54618,plain,
equal(product(a122,product(a77,a68)),product(a99,a68)),
inference(spr,[status(thm),theory(equality)],[54584,642]),
[iquote('0:SpR:54584.0,642.0')] ).
cnf(54619,plain,
equal(product(product(u,a99),a77),product(product(u,a77),a121)),
inference(spr,[status(thm),theory(equality)],[54584,582]),
[iquote('0:SpR:54584.0,582.0')] ).
cnf(54625,plain,
equal(product(a122,product(a68,a122)),product(a99,a68)),
inference(rew,[status(thm),theory(equality)],[49586,54618]),
[iquote('0:Rew:49586.0,54618.0')] ).
cnf(54626,plain,
equal(product(a99,a68),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[52825,54625]),
[iquote('0:Rew:52825.0,54625.0')] ).
cnf(54632,plain,
equal(product(product(u,a99),a77),product(product(u,a68),a122)),
inference(rew,[status(thm),theory(equality)],[49162,54619]),
[iquote('0:Rew:49162.0,54619.0')] ).
cnf(54755,plain,
equal(product(product(u,product(a100,a115)),a124),product(product(u,a124),a122)),
inference(spr,[status(thm),theory(equality)],[54119,582]),
[iquote('0:SpR:54119.0,582.0')] ).
cnf(54938,plain,
equal(product(a99,product(a100,a115)),a123),
inference(spr,[status(thm),theory(equality)],[54182,2]),
[iquote('0:SpR:54182.0,2.0')] ).
cnf(55060,plain,
equal(product(product(a68,a122),a124),a76),
inference(spr,[status(thm),theory(equality)],[54273,2]),
[iquote('0:SpR:54273.0,2.0')] ).
cnf(55073,plain,
equal(product(product(a68,a115),a122),a76),
inference(rew,[status(thm),theory(equality)],[8826,55060]),
[iquote('0:Rew:8826.0,55060.0')] ).
cnf(55074,plain,
equal(product(a124,a76),a99),
inference(rew,[status(thm),theory(equality)],[55073,54041]),
[iquote('0:Rew:55073.0,54041.0')] ).
cnf(55094,plain,
equal(product(product(u,a124),a76),product(product(u,a76),a99)),
inference(spr,[status(thm),theory(equality)],[55074,3]),
[iquote('0:SpR:55074.0,3.0')] ).
cnf(55098,plain,
equal(product(product(u,a99),a76),product(product(u,a76),a124)),
inference(spr,[status(thm),theory(equality)],[55074,582]),
[iquote('0:SpR:55074.0,582.0')] ).
cnf(55102,plain,
equal(product(product(a75,a76),a99),a77),
inference(rew,[status(thm),theory(equality)],[55094,53423]),
[iquote('0:Rew:55094.0,53423.0')] ).
cnf(55205,plain,
equal(product(a75,product(a114,a121)),a77),
inference(spr,[status(thm),theory(equality)],[54378,2]),
[iquote('0:SpR:54378.0,2.0')] ).
cnf(55246,plain,
equal(product(a124,a114),product(a100,a68)),
inference(spr,[status(thm),theory(equality)],[54446,2]),
[iquote('0:SpR:54446.0,2.0')] ).
cnf(55248,plain,
equal(product(product(a100,a68),product(a114,product(a100,a68))),product(a124,product(a100,a68))),
inference(spr,[status(thm),theory(equality)],[54446,725]),
[iquote('0:SpR:54446.0,725.0')] ).
cnf(55249,plain,
equal(product(product(a100,a68),product(u,a114)),product(product(a124,u),a114)),
inference(spr,[status(thm),theory(equality)],[54446,726]),
[iquote('0:SpR:54446.0,726.0')] ).
cnf(55253,plain,
equal(product(product(u,product(a100,a68)),a114),product(product(u,a114),a124)),
inference(spr,[status(thm),theory(equality)],[54446,3]),
[iquote('0:SpR:54446.0,3.0')] ).
cnf(55262,plain,
equal(product(a114,product(a100,a68)),product(a123,a114)),
inference(rew,[status(thm),theory(equality)],[55246,53017]),
[iquote('0:Rew:55246.0,53017.0')] ).
cnf(55274,plain,
equal(product(product(a124,a123),a114),product(a124,product(a100,a68))),
inference(rew,[status(thm),theory(equality)],[55249,55248,55262]),
[iquote('0:Rew:55249.0,55248.0,55262.0,55248.0')] ).
cnf(55275,plain,
equal(product(a124,product(a100,a68)),product(a114,product(a75,a114))),
inference(rew,[status(thm),theory(equality)],[725,55274,52996]),
[iquote('0:Rew:725.0,55274.0,52996.0,55274.0')] ).
cnf(55533,plain,
equal(product(a99,a114),product(a100,a115)),
inference(spr,[status(thm),theory(equality)],[54601,2]),
[iquote('0:SpR:54601.0,2.0')] ).
cnf(55539,plain,
equal(product(product(product(a100,a115),a76),a114),product(a99,a77)),
inference(spr,[status(thm),theory(equality)],[54601,549]),
[iquote('0:SpR:54601.0,549.0')] ).
cnf(55545,plain,
equal(product(product(u,a114),product(a100,a115)),product(product(u,a99),a114)),
inference(spr,[status(thm),theory(equality)],[54601,582]),
[iquote('0:SpR:54601.0,582.0')] ).
cnf(55553,plain,
equal(product(product(a123,a68),a114),a121),
inference(rew,[status(thm),theory(equality)],[54117,55539,54610]),
[iquote('0:Rew:54117.0,55539.0,54610.0,55539.0')] ).
cnf(55569,plain,
equal(product(product(u,a99),a114),product(product(u,a124),a115)),
inference(rew,[status(thm),theory(equality)],[54170,55545]),
[iquote('0:Rew:54170.0,55545.0')] ).
cnf(55768,plain,
equal(product(a77,a99),product(a75,a76)),
inference(spr,[status(thm),theory(equality)],[55102,2]),
[iquote('0:SpR:55102.0,2.0')] ).
cnf(55783,plain,
equal(product(a75,a76),product(a68,a77)),
inference(rew,[status(thm),theory(equality)],[54586,55768]),
[iquote('0:Rew:54586.0,55768.0')] ).
cnf(55784,plain,
equal(product(a76,product(a68,a76)),product(a68,a77)),
inference(rew,[status(thm),theory(equality)],[55783,14259]),
[iquote('0:Rew:55783.0,14259.0')] ).
cnf(55789,plain,
equal(product(product(u,product(a68,a77)),product(a100,a68)),product(product(u,product(a68,a76)),product(a123,a68))),
inference(rew,[status(thm),theory(equality)],[55783,52765]),
[iquote('0:Rew:55783.0,52765.0')] ).
cnf(55796,plain,
equal(product(product(a68,a76),product(a68,a114)),product(a68,a77)),
inference(rew,[status(thm),theory(equality)],[55783,54403]),
[iquote('0:Rew:55783.0,54403.0')] ).
cnf(55820,plain,
equal(product(product(a76,a76),a68),product(product(a68,a77),a76)),
inference(spr,[status(thm),theory(equality)],[55784,582]),
[iquote('0:SpR:55784.0,582.0')] ).
cnf(55829,plain,
equal(product(product(a68,a77),a76),a75),
inference(rew,[status(thm),theory(equality)],[350,55820,1]),
[iquote('0:Rew:350.0,55820.0,1.0,55820.0')] ).
cnf(55893,plain,
equal(product(product(a124,a76),a114),product(product(a100,a68),a77)),
inference(spr,[status(thm),theory(equality)],[55246,549]),
[iquote('0:SpR:55246.0,549.0')] ).
cnf(55903,plain,
equal(product(product(a100,a68),a77),product(a99,a114)),
inference(rew,[status(thm),theory(equality)],[55074,55893]),
[iquote('0:Rew:55074.0,55893.0')] ).
cnf(55904,plain,
equal(product(product(a100,a68),a77),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[55533,55903]),
[iquote('0:Rew:55533.0,55903.0')] ).
cnf(56073,plain,
equal(product(a123,a68),product(a121,a114)),
inference(spr,[status(thm),theory(equality)],[55553,2]),
[iquote('0:SpR:55553.0,2.0')] ).
cnf(56089,plain,
equal(product(a123,a68),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[15475,56073]),
[iquote('0:Rew:15475.0,56073.0')] ).
cnf(56090,plain,
equal(product(product(a114,a77),a76),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[56089,54116]),
[iquote('0:Rew:56089.0,54116.0')] ).
cnf(56094,plain,
equal(product(a115,product(a100,a115)),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[56089,54174]),
[iquote('0:Rew:56089.0,54174.0')] ).
cnf(56106,plain,
equal(product(product(u,product(a68,a77)),product(a100,a68)),product(product(u,product(a68,a76)),product(a114,a77))),
inference(rew,[status(thm),theory(equality)],[56089,55789]),
[iquote('0:Rew:56089.0,55789.0')] ).
cnf(56110,plain,
equal(product(a121,product(a77,a76)),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[7682,56090]),
[iquote('0:Rew:7682.0,56090.0')] ).
cnf(56111,plain,
equal(product(a121,product(a75,a124)),product(a100,a115)),
inference(rew,[status(thm),theory(equality)],[53337,56110]),
[iquote('0:Rew:53337.0,56110.0')] ).
cnf(56112,plain,
equal(product(a100,a115),product(a114,a121)),
inference(rew,[status(thm),theory(equality)],[53338,56111]),
[iquote('0:Rew:53338.0,56111.0')] ).
cnf(56113,plain,
equal(product(a123,a122),product(a114,a121)),
inference(rew,[status(thm),theory(equality)],[56112,54118]),
[iquote('0:Rew:56112.0,54118.0')] ).
cnf(56121,plain,
equal(product(product(a114,a121),a114),a99),
inference(rew,[status(thm),theory(equality)],[56112,54601]),
[iquote('0:Rew:56112.0,54601.0')] ).
cnf(56122,plain,
equal(product(a99,product(a114,a121)),a123),
inference(rew,[status(thm),theory(equality)],[56112,54938]),
[iquote('0:Rew:56112.0,54938.0')] ).
cnf(56123,plain,
equal(product(a99,a114),product(a114,a121)),
inference(rew,[status(thm),theory(equality)],[56112,55533]),
[iquote('0:Rew:56112.0,55533.0')] ).
cnf(56154,plain,
equal(product(product(u,product(a114,a121)),a124),product(product(u,a124),a122)),
inference(rew,[status(thm),theory(equality)],[56112,54755]),
[iquote('0:Rew:56112.0,54755.0')] ).
cnf(56188,plain,
equal(product(a100,product(a114,a121)),product(a123,a121)),
inference(rew,[status(thm),theory(equality)],[56112,54508]),
[iquote('0:Rew:56112.0,54508.0')] ).
cnf(56202,plain,
equal(product(product(a100,a68),a77),product(a114,a121)),
inference(rew,[status(thm),theory(equality)],[56112,55904]),
[iquote('0:Rew:56112.0,55904.0')] ).
cnf(56207,plain,
equal(product(a114,product(a114,a77)),a99),
inference(rew,[status(thm),theory(equality)],[15475,56121,725]),
[iquote('0:Rew:15475.0,56121.0,725.0,56121.0')] ).
cnf(56210,plain,
equal(product(a115,product(a114,a121)),product(a114,a77)),
inference(rew,[status(thm),theory(equality)],[56112,56094]),
[iquote('0:Rew:56112.0,56094.0')] ).
cnf(56244,plain,
equal(product(product(u,a124),a122),product(product(u,a77),a76)),
inference(rew,[status(thm),theory(equality)],[51368,56154]),
[iquote('0:Rew:51368.0,56154.0')] ).
cnf(56246,plain,
equal(product(product(u,a122),a115),product(product(u,a77),a76)),
inference(rew,[status(thm),theory(equality)],[56244,8817]),
[iquote('0:Rew:56244.0,8817.0')] ).
cnf(56305,plain,
equal(product(product(u,product(a68,a77)),product(a100,a68)),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[53882,56106]),
[iquote('0:Rew:53882.0,56106.0')] ).
cnf(56505,plain,
equal(product(product(a68,a77),a68),product(a76,product(a76,a68))),
inference(spr,[status(thm),theory(equality)],[55783,644]),
[iquote('0:SpR:55783.0,644.0')] ).
cnf(56510,plain,
equal(product(a68,product(a68,a122)),product(a76,a75)),
inference(rew,[status(thm),theory(equality)],[49586,56505,725,350]),
[iquote('0:Rew:49586.0,56505.0,725.0,56505.0,350.0,56505.0')] ).
cnf(56512,plain,
equal(product(product(a114,a121),a115),a100),
inference(spr,[status(thm),theory(equality)],[56112,2]),
[iquote('0:SpR:56112.0,2.0')] ).
cnf(56590,plain,
equal(product(product(a114,a121),a75),product(a124,product(a122,a75))),
inference(spr,[status(thm),theory(equality)],[56113,640]),
[iquote('0:SpR:56113.0,640.0')] ).
cnf(56599,plain,
equal(product(product(a114,a121),a75),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[7617,56590]),
[iquote('0:Rew:7617.0,56590.0')] ).
cnf(56600,plain,
equal(product(product(a114,a75),a100),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[52629,56599]),
[iquote('0:Rew:52629.0,56599.0')] ).
cnf(56856,plain,
equal(product(product(a114,u),product(a114,a77)),product(a99,product(u,product(a114,a77)))),
inference(spr,[status(thm),theory(equality)],[56207,3]),
[iquote('0:SpR:56207.0,3.0')] ).
cnf(56867,plain,
equal(product(product(u,product(a114,a77)),a114),product(product(u,a99),product(a114,a77))),
inference(spr,[status(thm),theory(equality)],[56207,582]),
[iquote('0:SpR:56207.0,582.0')] ).
cnf(56874,plain,
equal(product(product(u,a99),product(a114,a77)),product(product(u,a77),product(a77,a114))),
inference(rew,[status(thm),theory(equality)],[19459,56867]),
[iquote('0:Rew:19459.0,56867.0')] ).
cnf(56875,plain,
equal(product(product(u,a99),product(a114,a77)),product(product(u,a77),a76)),
inference(rew,[status(thm),theory(equality)],[399,56874]),
[iquote('0:Rew:399.0,56874.0')] ).
cnf(56891,plain,
equal(product(product(a99,a121),a114),product(a123,a121)),
inference(spr,[status(thm),theory(equality)],[56122,582]),
[iquote('0:SpR:56122.0,582.0')] ).
cnf(56899,plain,
equal(product(a123,a121),product(a114,a99)),
inference(rew,[status(thm),theory(equality)],[54600,56891,54562]),
[iquote('0:Rew:54600.0,56891.0,54562.0,56891.0')] ).
cnf(56901,plain,
equal(product(a100,product(a114,a121)),product(a114,a99)),
inference(rew,[status(thm),theory(equality)],[56899,56188]),
[iquote('0:Rew:56899.0,56188.0')] ).
cnf(57113,plain,
equal(product(product(a114,a121),product(a115,product(a114,a121))),product(a100,product(a114,a121))),
inference(spr,[status(thm),theory(equality)],[56512,725]),
[iquote('0:SpR:56512.0,725.0')] ).
cnf(57133,plain,
equal(product(a99,product(a100,a68)),product(a114,a99)),
inference(rew,[status(thm),theory(equality)],[54114,57113,56856,56210,56901]),
[iquote('0:Rew:54114.0,57113.0,56856.0,57113.0,56210.0,57113.0,56901.0,57113.0')] ).
cnf(62948,plain,
equal(product(a75,product(product(a108,a32),a14)),product(product(a88,a40),a14)),
inference(spr,[status(thm),theory(equality)],[52280,657]),
[iquote('0:SpR:52280.0,657.0')] ).
cnf(62954,plain,
equal(product(a75,a123),a90),
inference(rew,[status(thm),theory(equality)],[51335,62948,505,92,43,656]),
[iquote('0:Rew:51335.0,62948.0,505.0,62948.0,92.0,62948.0,43.0,62948.0,656.0,62948.0')] ).
cnf(62975,plain,
equal(product(a75,product(a123,a75)),product(a90,a75)),
inference(spr,[status(thm),theory(equality)],[62954,725]),
[iquote('0:SpR:62954.0,725.0')] ).
cnf(62986,plain,
equal(product(a90,a75),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[126,62975]),
[iquote('0:Rew:126.0,62975.0')] ).
cnf(63041,plain,
equal(product(product(u,product(a75,a124)),a75),product(product(u,a75),a90)),
inference(spr,[status(thm),theory(equality)],[62986,582]),
[iquote('0:SpR:62986.0,582.0')] ).
cnf(63047,plain,
equal(product(product(u,a124),product(a124,a75)),product(product(u,a75),a90)),
inference(rew,[status(thm),theory(equality)],[19459,63041]),
[iquote('0:Rew:19459.0,63041.0')] ).
cnf(63048,plain,
equal(product(product(u,a124),a123),product(product(u,a75),a90)),
inference(rew,[status(thm),theory(equality)],[346,63047]),
[iquote('0:Rew:346.0,63047.0')] ).
cnf(63049,plain,
equal(product(product(u,a114),a124),product(product(u,a75),a90)),
inference(rew,[status(thm),theory(equality)],[52993,63048]),
[iquote('0:Rew:52993.0,63048.0')] ).
cnf(63054,plain,
equal(product(product(u,a124),a123),product(product(u,a75),a90)),
inference(rew,[status(thm),theory(equality)],[63049,52993]),
[iquote('0:Rew:63049.0,52993.0')] ).
cnf(63058,plain,
equal(product(product(u,product(a100,a68)),a114),product(product(u,a75),a90)),
inference(rew,[status(thm),theory(equality)],[63049,55253]),
[iquote('0:Rew:63049.0,55253.0')] ).
cnf(64301,plain,
equal(product(product(a68,a124),a123),product(a76,a75)),
inference(spr,[status(thm),theory(equality)],[53877,2]),
[iquote('0:SpR:53877.0,2.0')] ).
cnf(64316,plain,
equal(product(product(a68,a75),a90),product(a76,a75)),
inference(rew,[status(thm),theory(equality)],[63054,64301]),
[iquote('0:Rew:63054.0,64301.0')] ).
cnf(64338,plain,
equal(product(product(a68,a76),a124),product(a75,product(a114,a124))),
inference(spr,[status(thm),theory(equality)],[53888,726]),
[iquote('0:SpR:53888.0,726.0')] ).
cnf(64345,plain,
equal(product(product(a68,a76),a124),a90),
inference(rew,[status(thm),theory(equality)],[62954,64338,52945]),
[iquote('0:Rew:62954.0,64338.0,52945.0,64338.0')] ).
cnf(64363,plain,
equal(product(a90,a124),product(a68,a76)),
inference(spr,[status(thm),theory(equality)],[64345,2]),
[iquote('0:SpR:64345.0,2.0')] ).
cnf(64379,plain,
equal(product(a68,a76),product(a92,a99)),
inference(rew,[status(thm),theory(equality)],[11122,64363]),
[iquote('0:Rew:11122.0,64363.0')] ).
cnf(64382,plain,
equal(product(product(a92,a99),a77),a76),
inference(rew,[status(thm),theory(equality)],[64379,53987]),
[iquote('0:Rew:64379.0,53987.0')] ).
cnf(64389,plain,
equal(product(product(u,product(a92,a99)),a99),product(product(u,a76),a114)),
inference(rew,[status(thm),theory(equality)],[64379,54599]),
[iquote('0:Rew:64379.0,54599.0')] ).
cnf(64418,plain,
equal(product(product(a92,a99),a114),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[64379,54360]),
[iquote('0:Rew:64379.0,54360.0')] ).
cnf(64427,plain,
equal(product(product(a92,a99),product(a68,a114)),product(a68,a77)),
inference(rew,[status(thm),theory(equality)],[64379,55796]),
[iquote('0:Rew:64379.0,55796.0')] ).
cnf(64447,plain,
equal(product(product(a92,a68),a122),a76),
inference(rew,[status(thm),theory(equality)],[54632,64382]),
[iquote('0:Rew:54632.0,64382.0')] ).
cnf(64450,plain,
equal(product(product(a92,a124),a115),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[55569,64418]),
[iquote('0:Rew:55569.0,64418.0')] ).
cnf(64451,plain,
equal(product(a91,a115),product(a75,a124)),
inference(rew,[status(thm),theory(equality)],[387,64450]),
[iquote('0:Rew:387.0,64450.0')] ).
cnf(64461,plain,
equal(product(product(u,a99),a92),product(product(u,a76),a114)),
inference(rew,[status(thm),theory(equality)],[582,64389]),
[iquote('0:Rew:582.0,64389.0')] ).
cnf(64462,plain,
equal(product(product(u,a76),a114),product(product(u,a92),a98)),
inference(rew,[status(thm),theory(equality)],[1130,64461]),
[iquote('0:Rew:1130.0,64461.0')] ).
cnf(64463,plain,
equal(product(product(u,a114),a77),product(product(u,a92),a98)),
inference(rew,[status(thm),theory(equality)],[64462,549]),
[iquote('0:Rew:64462.0,549.0')] ).
cnf(64513,plain,
equal(product(product(a99,a92),a98),product(product(a114,a121),a77)),
inference(spr,[status(thm),theory(equality)],[56123,64463]),
[iquote('0:SpR:56123.0,64463.0')] ).
cnf(64515,plain,
equal(product(product(a114,a92),a98),product(a114,a77)),
inference(spr,[status(thm),theory(equality)],[1,64463]),
[iquote('0:SpR:1.0,64463.0')] ).
cnf(64529,plain,
equal(product(product(a114,a121),a77),a98),
inference(rew,[status(thm),theory(equality)],[1,64513,388]),
[iquote('0:Rew:1.0,64513.0,388.0,64513.0')] ).
cnf(64530,plain,
equal(product(product(a114,a68),a121),a98),
inference(rew,[status(thm),theory(equality)],[49114,64529]),
[iquote('0:Rew:49114.0,64529.0')] ).
cnf(64531,plain,
equal(product(a100,a68),a98),
inference(rew,[status(thm),theory(equality)],[54113,64530,117]),
[iquote('0:Rew:54113.0,64530.0,117.0,64530.0')] ).
cnf(64534,plain,
equal(product(a115,a121),a98),
inference(rew,[status(thm),theory(equality)],[64531,54113]),
[iquote('0:Rew:64531.0,54113.0')] ).
cnf(64537,plain,
equal(product(a124,a114),a98),
inference(rew,[status(thm),theory(equality)],[64531,55246]),
[iquote('0:Rew:64531.0,55246.0')] ).
cnf(64553,plain,
equal(product(product(u,a75),a90),product(product(u,a98),a114)),
inference(rew,[status(thm),theory(equality)],[64531,63058]),
[iquote('0:Rew:64531.0,63058.0')] ).
cnf(64573,plain,
equal(product(a114,product(a75,a114)),product(a124,a98)),
inference(rew,[status(thm),theory(equality)],[64531,55275]),
[iquote('0:Rew:64531.0,55275.0')] ).
cnf(64578,plain,
equal(product(a114,a121),product(a98,a77)),
inference(rew,[status(thm),theory(equality)],[64531,56202]),
[iquote('0:Rew:64531.0,56202.0')] ).
cnf(64579,plain,
equal(product(product(u,product(a68,a77)),a98),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[64531,56305]),
[iquote('0:Rew:64531.0,56305.0')] ).
cnf(64581,plain,
equal(product(a99,a98),product(a114,a99)),
inference(rew,[status(thm),theory(equality)],[64531,57133]),
[iquote('0:Rew:64531.0,57133.0')] ).
cnf(64589,plain,
equal(product(a75,product(a98,a77)),a77),
inference(rew,[status(thm),theory(equality)],[64578,55205]),
[iquote('0:Rew:64578.0,55205.0')] ).
cnf(64590,plain,
equal(product(a100,a115),product(a98,a77)),
inference(rew,[status(thm),theory(equality)],[64578,56112]),
[iquote('0:Rew:64578.0,56112.0')] ).
cnf(64768,plain,
equal(product(product(a68,a98),a114),product(a76,a75)),
inference(rew,[status(thm),theory(equality)],[64553,64316]),
[iquote('0:Rew:64553.0,64316.0')] ).
cnf(64783,plain,
equal(product(a76,a75),product(a67,a114)),
inference(rew,[status(thm),theory(equality)],[401,64768]),
[iquote('0:Rew:401.0,64768.0')] ).
cnf(64797,plain,
equal(product(a68,product(a68,a122)),product(a67,a114)),
inference(rew,[status(thm),theory(equality)],[64783,56510]),
[iquote('0:Rew:64783.0,56510.0')] ).
cnf(65071,plain,
equal(product(a124,product(a114,a124)),product(a98,a124)),
inference(spr,[status(thm),theory(equality)],[64537,725]),
[iquote('0:SpR:64537.0,725.0')] ).
cnf(65083,plain,
equal(product(a114,a75),product(a92,a66)),
inference(rew,[status(thm),theory(equality)],[52996,65071,52945,11127]),
[iquote('0:Rew:52996.0,65071.0,52945.0,65071.0,11127.0,65071.0')] ).
cnf(65108,plain,
equal(product(product(a92,a66),a100),product(a124,a115)),
inference(rew,[status(thm),theory(equality)],[65083,56600]),
[iquote('0:Rew:65083.0,56600.0')] ).
cnf(65125,plain,
equal(product(a124,a115),product(a100,a90)),
inference(rew,[status(thm),theory(equality)],[15728,65108]),
[iquote('0:Rew:15728.0,65108.0')] ).
cnf(65130,plain,
equal(product(a99,a68),product(a100,a90)),
inference(rew,[status(thm),theory(equality)],[65125,54626]),
[iquote('0:Rew:65125.0,54626.0')] ).
cnf(65338,plain,
equal(product(product(a92,a99),a76),a68),
inference(spr,[status(thm),theory(equality)],[64379,2]),
[iquote('0:SpR:64379.0,2.0')] ).
cnf(65350,plain,
equal(product(a91,product(a76,a124)),a68),
inference(rew,[status(thm),theory(equality)],[1125,65338,55098]),
[iquote('0:Rew:1125.0,65338.0,55098.0,65338.0')] ).
cnf(65351,plain,
equal(product(a91,product(a68,a122)),a68),
inference(rew,[status(thm),theory(equality)],[54273,65350]),
[iquote('0:Rew:54273.0,65350.0')] ).
cnf(65376,plain,
equal(product(a76,a122),product(a92,a68)),
inference(spr,[status(thm),theory(equality)],[64447,2]),
[iquote('0:SpR:64447.0,2.0')] ).
cnf(65383,plain,
equal(product(a92,product(a122,a68)),product(a76,a68)),
inference(spr,[status(thm),theory(equality)],[64447,726]),
[iquote('0:SpR:64447.0,726.0')] ).
cnf(65391,plain,
equal(product(a68,a115),product(a92,a68)),
inference(rew,[status(thm),theory(equality)],[54380,65376]),
[iquote('0:Rew:54380.0,65376.0')] ).
cnf(65423,plain,
equal(product(a92,a121),a75),
inference(rew,[status(thm),theory(equality)],[348,65383,350]),
[iquote('0:Rew:348.0,65383.0,350.0,65383.0')] ).
cnf(65432,plain,
equal(product(a75,a121),a92),
inference(spr,[status(thm),theory(equality)],[65423,2]),
[iquote('0:SpR:65423.0,2.0')] ).
cnf(65445,plain,
equal(product(a68,a114),a92),
inference(rew,[status(thm),theory(equality)],[53890,65432]),
[iquote('0:Rew:53890.0,65432.0')] ).
cnf(65476,plain,
equal(product(product(a92,a99),a92),product(a68,a77)),
inference(rew,[status(thm),theory(equality)],[65445,64427]),
[iquote('0:Rew:65445.0,64427.0')] ).
cnf(65503,plain,
equal(product(a68,a77),product(a92,a98)),
inference(rew,[status(thm),theory(equality)],[388,65476,725]),
[iquote('0:Rew:388.0,65476.0,725.0,65476.0')] ).
cnf(65505,plain,
equal(product(a75,a76),product(a92,a98)),
inference(rew,[status(thm),theory(equality)],[65503,55783]),
[iquote('0:Rew:65503.0,55783.0')] ).
cnf(65506,plain,
equal(product(product(a92,a98),a76),a75),
inference(rew,[status(thm),theory(equality)],[65503,55829]),
[iquote('0:Rew:65503.0,55829.0')] ).
cnf(65519,plain,
equal(product(product(u,product(a92,a98)),a98),product(product(u,a76),a121)),
inference(rew,[status(thm),theory(equality)],[65503,64579]),
[iquote('0:Rew:65503.0,64579.0')] ).
cnf(65586,plain,
equal(product(product(u,a76),a121),product(product(u,a92),a99)),
inference(rew,[status(thm),theory(equality)],[538,65519,582]),
[iquote('0:Rew:538.0,65519.0,582.0,65519.0')] ).
cnf(65591,plain,
equal(product(product(u,a114),a76),product(product(u,a92),a99)),
inference(rew,[status(thm),theory(equality)],[65586,7686]),
[iquote('0:Rew:65586.0,7686.0')] ).
cnf(65642,plain,
equal(product(product(a92,u),a114),product(a68,product(u,a114))),
inference(spr,[status(thm),theory(equality)],[65445,726]),
[iquote('0:SpR:65445.0,726.0')] ).
cnf(65650,plain,
equal(product(product(u,a114),a68),product(product(u,a92),a114)),
inference(spr,[status(thm),theory(equality)],[65445,582]),
[iquote('0:SpR:65445.0,582.0')] ).
cnf(65662,plain,
equal(product(product(u,a68),a115),product(product(u,a92),a114)),
inference(rew,[status(thm),theory(equality)],[499,65650]),
[iquote('0:Rew:499.0,65650.0')] ).
cnf(65663,plain,
equal(product(product(u,a114),a68),product(product(u,a92),a114)),
inference(rew,[status(thm),theory(equality)],[65662,499]),
[iquote('0:Rew:65662.0,499.0')] ).
cnf(66104,plain,
equal(product(product(a99,a92),a99),product(product(a114,a99),a92)),
inference(spr,[status(thm),theory(equality)],[64581,538]),
[iquote('0:SpR:64581.0,538.0')] ).
cnf(66113,plain,
equal(product(product(a114,a99),a92),product(a98,a99)),
inference(rew,[status(thm),theory(equality)],[388,66104]),
[iquote('0:Rew:388.0,66104.0')] ).
cnf(66114,plain,
equal(product(a114,a77),product(a98,a99)),
inference(rew,[status(thm),theory(equality)],[64515,66113,1130]),
[iquote('0:Rew:64515.0,66113.0,1130.0,66113.0')] ).
cnf(66204,plain,
equal(product(product(u,a99),product(a98,a99)),product(product(u,a77),a76)),
inference(rew,[status(thm),theory(equality)],[66114,56875]),
[iquote('0:Rew:66114.0,56875.0')] ).
cnf(66240,plain,
equal(product(product(u,a77),a76),product(product(u,a98),a99)),
inference(rew,[status(thm),theory(equality)],[3,66204]),
[iquote('0:Rew:3.0,66204.0')] ).
cnf(66241,plain,
equal(product(product(u,a122),a115),product(product(u,a98),a99)),
inference(rew,[status(thm),theory(equality)],[66240,56246]),
[iquote('0:Rew:66240.0,56246.0')] ).
cnf(66270,plain,
equal(product(product(u,a114),a121),product(product(u,a98),a99)),
inference(rew,[status(thm),theory(equality)],[66240,23326]),
[iquote('0:Rew:66240.0,23326.0')] ).
cnf(66351,plain,
equal(product(product(a124,a98),a99),product(a115,a115)),
inference(spr,[status(thm),theory(equality)],[8804,66241]),
[iquote('0:SpR:8804.0,66241.0')] ).
cnf(66360,plain,
equal(product(product(a124,a98),a99),a115),
inference(rew,[status(thm),theory(equality)],[1,66351]),
[iquote('0:Rew:1.0,66351.0')] ).
cnf(66833,plain,
equal(product(product(a76,a68),a76),product(product(a67,a114),a68)),
inference(spr,[status(thm),theory(equality)],[64783,500]),
[iquote('0:SpR:64783.0,500.0')] ).
cnf(66843,plain,
equal(product(a75,a76),product(a66,a114)),
inference(rew,[status(thm),theory(equality)],[350,66833,389,65663]),
[iquote('0:Rew:350.0,66833.0,389.0,66833.0,65663.0,66833.0')] ).
cnf(66844,plain,
equal(product(a92,a98),product(a66,a114)),
inference(rew,[status(thm),theory(equality)],[65505,66843]),
[iquote('0:Rew:65505.0,66843.0')] ).
cnf(66845,plain,
equal(product(a68,product(a66,a114)),product(a66,a98)),
inference(rew,[status(thm),theory(equality)],[66844,11883]),
[iquote('0:Rew:66844.0,11883.0')] ).
cnf(66889,plain,
equal(product(product(a66,a114),a76),a75),
inference(rew,[status(thm),theory(equality)],[66844,65506]),
[iquote('0:Rew:66844.0,65506.0')] ).
cnf(66913,plain,
equal(product(product(a66,a92),a99),a75),
inference(rew,[status(thm),theory(equality)],[65591,66889]),
[iquote('0:Rew:65591.0,66889.0')] ).
cnf(66914,plain,
equal(product(a67,a99),a75),
inference(rew,[status(thm),theory(equality)],[69,66913]),
[iquote('0:Rew:69.0,66913.0')] ).
cnf(66918,plain,
equal(product(a75,a99),a67),
inference(spr,[status(thm),theory(equality)],[66914,2]),
[iquote('0:SpR:66914.0,2.0')] ).
cnf(67045,plain,
equal(product(product(a92,a66),a114),product(a114,product(a75,a114))),
inference(spr,[status(thm),theory(equality)],[65083,725]),
[iquote('0:SpR:65083.0,725.0')] ).
cnf(67057,plain,
equal(product(a124,a98),product(a66,a98)),
inference(rew,[status(thm),theory(equality)],[66845,67045,65642,64573]),
[iquote('0:Rew:66845.0,67045.0,65642.0,67045.0,64573.0,67045.0')] ).
cnf(67065,plain,
equal(product(product(a66,a98),a99),a115),
inference(rew,[status(thm),theory(equality)],[67057,66360]),
[iquote('0:Rew:67057.0,66360.0')] ).
cnf(67365,plain,
equal(product(a68,product(a68,a122)),a91),
inference(spr,[status(thm),theory(equality)],[65351,2]),
[iquote('0:SpR:65351.0,2.0')] ).
cnf(67372,plain,
equal(product(product(a91,a122),a68),product(a68,a122)),
inference(spr,[status(thm),theory(equality)],[65351,582]),
[iquote('0:SpR:65351.0,582.0')] ).
cnf(67380,plain,
equal(product(a67,a114),a91),
inference(rew,[status(thm),theory(equality)],[64797,67365]),
[iquote('0:Rew:64797.0,67365.0')] ).
cnf(67383,plain,
equal(product(a68,product(a68,a122)),a91),
inference(rew,[status(thm),theory(equality)],[67380,64797]),
[iquote('0:Rew:67380.0,64797.0')] ).
cnf(67413,plain,
equal(product(product(a91,a68),a121),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[966,67372]),
[iquote('0:Rew:966.0,67372.0')] ).
cnf(67526,plain,
equal(product(product(a67,a92),a114),product(a91,a68)),
inference(spr,[status(thm),theory(equality)],[67380,65663]),
[iquote('0:SpR:67380.0,65663.0')] ).
cnf(67534,plain,
equal(product(a91,a68),product(a66,a114)),
inference(rew,[status(thm),theory(equality)],[389,67526]),
[iquote('0:Rew:389.0,67526.0')] ).
cnf(67535,plain,
equal(product(product(a66,a114),a121),product(a68,a122)),
inference(rew,[status(thm),theory(equality)],[67534,67413]),
[iquote('0:Rew:67534.0,67413.0')] ).
cnf(67536,plain,
equal(product(a68,a122),a115),
inference(rew,[status(thm),theory(equality)],[67065,67535,66270]),
[iquote('0:Rew:67065.0,67535.0,66270.0,67535.0')] ).
cnf(67539,plain,
equal(product(a123,a115),a115),
inference(rew,[status(thm),theory(equality)],[67536,49588]),
[iquote('0:Rew:67536.0,49588.0')] ).
cnf(67540,plain,
equal(product(a115,a115),a123),
inference(rew,[status(thm),theory(equality)],[67536,49589]),
[iquote('0:Rew:67536.0,49589.0')] ).
cnf(67541,plain,
equal(product(a124,a115),a100),
inference(rew,[status(thm),theory(equality)],[67536,53750]),
[iquote('0:Rew:67536.0,53750.0')] ).
cnf(67542,plain,
equal(product(a100,a115),a124),
inference(rew,[status(thm),theory(equality)],[67536,54023]),
[iquote('0:Rew:67536.0,54023.0')] ).
cnf(67547,plain,
equal(product(a91,a115),a68),
inference(rew,[status(thm),theory(equality)],[67536,65351]),
[iquote('0:Rew:67536.0,65351.0')] ).
cnf(67652,plain,
equal(product(a68,a115),a91),
inference(rew,[status(thm),theory(equality)],[67536,67383]),
[iquote('0:Rew:67536.0,67383.0')] ).
cnf(67659,plain,
equal(a122,a115),
inference(rew,[status(thm),theory(equality)],[347,67539]),
[iquote('0:Rew:347.0,67539.0')] ).
cnf(67663,plain,
equal(product(a115,a68),a121),
inference(rew,[status(thm),theory(equality)],[67659,348]),
[iquote('0:Rew:67659.0,348.0')] ).
cnf(67669,plain,
equal(product(a115,a14),a117),
inference(rew,[status(thm),theory(equality)],[67659,7623]),
[iquote('0:Rew:67659.0,7623.0')] ).
cnf(67671,plain,
equal(product(a115,a115),a124),
inference(rew,[status(thm),theory(equality)],[67659,8809]),
[iquote('0:Rew:67659.0,8809.0')] ).
cnf(67681,plain,
~ equal(tuple(a1,a2,a41,a42,a3,a40,a4,a13,a14,a5,a38,a39,a6,a135,a136,a7,a52,a51,a8,a16,a17,a9,a55,a56,a10,a133,a134,a11,a36,a37,a12,a21,a20,a23,a31,a32,a15,a53,a28,a29,a18,a132,a19,a58,a57,a20,a25,a26,a34,a35,a140,a44,a45,a24,a48,a49,a138,a137,a27,a30,a33,a130,a131,a59,a60,a139,a46,a47,a43,a61,a62,a127,a128,a50,a54,a63,a95,a96,a64,a126,a65,a66,a67,a91,a92,a68,a97,a98,a69,a70,a71,a118,a117,a72,a108,a109,a73,a70,a82,a74,a75,a76,a77,a113,a114,a78,a79,a70,a119,a83,a84,a85,a86,a87,a103,a104,a88,a89,a90,a99,a100,a123,a124,a93,a94,a101,a102,a105,a106,a107,a110,a111,a112,a115,a116,a120,a121,a115,a125,a129),tuple(a2,a3,a42,a43,a4,a41,a5,a14,a15,a6,a39,a40,a7,a136,a137,a8,a53,a52,a9,a17,a18,a10,a56,a57,a11,a134,a135,a12,a37,a38,a13,a23,a21,a24,a32,a33,a16,a54,a29,a30,a19,a133,a20,a59,a58,a22,a26,a27,a35,a36,a141,a45,a46,a25,a49,a50,a139,a138,a28,a31,a34,a131,a132,a60,a61,a140,a47,a48,a44,a62,a63,a128,a129,a51,a55,a64,a96,a97,a65,a127,a66,a67,a68,a92,a93,a69,a98,a99,a70,a71,a72,a119,a118,a73,a109,a110,a74,a82,a83,a75,a76,a77,a78,a114,a115,a79,a70,a70,a120,a84,a85,a86,a87,a88,a104,a105,a89,a90,a91,a100,a101,a124,a125,a94,a95,a102,a103,a106,a107,a108,a111,a112,a113,a116,a117,a121,a115,a123,a126,a130)),
inference(rew,[status(thm),theory(equality)],[67659,48152]),
[iquote('0:Rew:67659.0,48152.0')] ).
cnf(67682,plain,
equal(product(a100,a115),a114),
inference(rew,[status(thm),theory(equality)],[67659,54038]),
[iquote('0:Rew:67659.0,54038.0')] ).
cnf(67684,plain,
equal(product(a115,a123),a100),
inference(rew,[status(thm),theory(equality)],[67659,54061]),
[iquote('0:Rew:67659.0,54061.0')] ).
cnf(67687,plain,
equal(product(a99,a121),a115),
inference(rew,[status(thm),theory(equality)],[67659,54562]),
[iquote('0:Rew:67659.0,54562.0')] ).
cnf(68133,plain,
equal(product(a68,a115),a115),
inference(rew,[status(thm),theory(equality)],[67659,67536]),
[iquote('0:Rew:67659.0,67536.0')] ).
cnf(68134,plain,
equal(a123,a115),
inference(rew,[status(thm),theory(equality)],[1,67540]),
[iquote('0:Rew:1.0,67540.0')] ).
cnf(68157,plain,
equal(product(a75,a115),a90),
inference(rew,[status(thm),theory(equality)],[68134,62954]),
[iquote('0:Rew:68134.0,62954.0')] ).
cnf(68523,plain,
equal(product(a100,a90),a100),
inference(rew,[status(thm),theory(equality)],[65125,67541]),
[iquote('0:Rew:65125.0,67541.0')] ).
cnf(68528,plain,
equal(product(a99,a68),a100),
inference(rew,[status(thm),theory(equality)],[68523,65130]),
[iquote('0:Rew:68523.0,65130.0')] ).
cnf(68598,plain,
equal(product(a98,a77),a124),
inference(rew,[status(thm),theory(equality)],[64590,67542]),
[iquote('0:Rew:64590.0,67542.0')] ).
cnf(68604,plain,
equal(product(a75,a124),a77),
inference(rew,[status(thm),theory(equality)],[68598,64589]),
[iquote('0:Rew:68598.0,64589.0')] ).
cnf(68697,plain,
equal(product(a75,a124),a68),
inference(rew,[status(thm),theory(equality)],[64451,67547]),
[iquote('0:Rew:64451.0,67547.0')] ).
cnf(68702,plain,
equal(product(a76,a68),a68),
inference(rew,[status(thm),theory(equality)],[68697,53387]),
[iquote('0:Rew:68697.0,53387.0')] ).
cnf(68703,plain,
equal(product(a68,a68),a76),
inference(rew,[status(thm),theory(equality)],[68697,53790]),
[iquote('0:Rew:68697.0,53790.0')] ).
cnf(68707,plain,
equal(product(a91,a115),a68),
inference(rew,[status(thm),theory(equality)],[68697,64451]),
[iquote('0:Rew:68697.0,64451.0')] ).
cnf(68794,plain,
equal(product(a92,a68),a91),
inference(rew,[status(thm),theory(equality)],[65391,67652]),
[iquote('0:Rew:65391.0,67652.0')] ).
cnf(68809,plain,
equal(a121,a114),
inference(rew,[status(thm),theory(equality)],[349,67663]),
[iquote('0:Rew:349.0,67663.0')] ).
cnf(68811,plain,
equal(product(a114,a32),a120),
inference(rew,[status(thm),theory(equality)],[68809,351]),
[iquote('0:Rew:68809.0,351.0')] ).
cnf(68822,plain,
equal(product(a68,a114),a77),
inference(rew,[status(thm),theory(equality)],[68809,49104]),
[iquote('0:Rew:68809.0,49104.0')] ).
cnf(68832,plain,
equal(product(a115,a114),a98),
inference(rew,[status(thm),theory(equality)],[68809,64534]),
[iquote('0:Rew:68809.0,64534.0')] ).
cnf(69098,plain,
equal(a117,a116),
inference(rew,[status(thm),theory(equality)],[118,67669]),
[iquote('0:Rew:118.0,67669.0')] ).
cnf(69099,plain,
equal(product(a116,a32),a118),
inference(rew,[status(thm),theory(equality)],[69098,120]),
[iquote('0:Rew:69098.0,120.0')] ).
cnf(69377,plain,
equal(a115,a124),
inference(rew,[status(thm),theory(equality)],[1,67671]),
[iquote('0:Rew:1.0,67671.0')] ).
cnf(69378,plain,
equal(product(a124,a14),a116),
inference(rew,[status(thm),theory(equality)],[69377,118]),
[iquote('0:Rew:69377.0,118.0')] ).
cnf(69609,plain,
equal(a123,a124),
inference(rew,[status(thm),theory(equality)],[69377,68134]),
[iquote('0:Rew:69377.0,68134.0')] ).
cnf(69613,plain,
equal(product(a100,a124),a114),
inference(rew,[status(thm),theory(equality)],[69377,67682]),
[iquote('0:Rew:69377.0,67682.0')] ).
cnf(69614,plain,
equal(a99,a114),
inference(rew,[status(thm),theory(equality)],[386,69613]),
[iquote('0:Rew:386.0,69613.0')] ).
cnf(69653,plain,
equal(product(a67,a114),a75),
inference(rew,[status(thm),theory(equality)],[69614,66914]),
[iquote('0:Rew:69614.0,66914.0')] ).
cnf(69654,plain,
equal(product(a75,a114),a67),
inference(rew,[status(thm),theory(equality)],[69614,66918]),
[iquote('0:Rew:69614.0,66918.0')] ).
cnf(70140,plain,
equal(product(a124,a124),a100),
inference(rew,[status(thm),theory(equality)],[69377,67684,69609]),
[iquote('0:Rew:69377.0,67684.0,69609.0,67684.0')] ).
cnf(70141,plain,
equal(a124,a100),
inference(rew,[status(thm),theory(equality)],[1,70140]),
[iquote('0:Rew:1.0,70140.0')] ).
cnf(70142,plain,
equal(product(a100,a2),a125),
inference(rew,[status(thm),theory(equality)],[70141,127]),
[iquote('0:Rew:70141.0,127.0')] ).
cnf(70637,plain,
equal(a115,a100),
inference(rew,[status(thm),theory(equality)],[70141,69377]),
[iquote('0:Rew:70141.0,69377.0')] ).
cnf(70639,plain,
equal(a123,a100),
inference(rew,[status(thm),theory(equality)],[70141,69609]),
[iquote('0:Rew:70141.0,69609.0')] ).
cnf(70642,plain,
equal(product(a114,a114),a100),
inference(rew,[status(thm),theory(equality)],[69614,67687,68809,70637]),
[iquote('0:Rew:69614.0,67687.0,68809.0,67687.0,70637.0,67687.0')] ).
cnf(70643,plain,
equal(a100,a114),
inference(rew,[status(thm),theory(equality)],[1,70642]),
[iquote('0:Rew:1.0,70642.0')] ).
cnf(70644,plain,
equal(product(a114,a14),a101),
inference(rew,[status(thm),theory(equality)],[70643,103]),
[iquote('0:Rew:70643.0,103.0')] ).
cnf(70923,plain,
equal(a124,a114),
inference(rew,[status(thm),theory(equality)],[70643,70141]),
[iquote('0:Rew:70643.0,70141.0')] ).
cnf(70924,plain,
equal(a115,a114),
inference(rew,[status(thm),theory(equality)],[70643,70637]),
[iquote('0:Rew:70643.0,70637.0')] ).
cnf(70926,plain,
equal(a123,a114),
inference(rew,[status(thm),theory(equality)],[70643,70639]),
[iquote('0:Rew:70643.0,70639.0')] ).
cnf(70930,plain,
equal(product(a68,a114),a114),
inference(rew,[status(thm),theory(equality)],[70924,68133]),
[iquote('0:Rew:70924.0,68133.0')] ).
cnf(70931,plain,
equal(a114,a92),
inference(rew,[status(thm),theory(equality)],[65445,70930]),
[iquote('0:Rew:65445.0,70930.0')] ).
cnf(70934,plain,
equal(product(a92,a13),a113),
inference(rew,[status(thm),theory(equality)],[70931,324]),
[iquote('0:Rew:70931.0,324.0')] ).
cnf(71254,plain,
equal(a121,a92),
inference(rew,[status(thm),theory(equality)],[70931,68809]),
[iquote('0:Rew:70931.0,68809.0')] ).
cnf(71255,plain,
equal(a99,a92),
inference(rew,[status(thm),theory(equality)],[70931,69614]),
[iquote('0:Rew:70931.0,69614.0')] ).
cnf(71256,plain,
equal(a100,a92),
inference(rew,[status(thm),theory(equality)],[70931,70643]),
[iquote('0:Rew:70931.0,70643.0')] ).
cnf(71257,plain,
equal(a124,a92),
inference(rew,[status(thm),theory(equality)],[70931,70923]),
[iquote('0:Rew:70931.0,70923.0')] ).
cnf(71258,plain,
equal(a115,a92),
inference(rew,[status(thm),theory(equality)],[70931,70924]),
[iquote('0:Rew:70931.0,70924.0')] ).
cnf(71260,plain,
equal(a123,a92),
inference(rew,[status(thm),theory(equality)],[70931,70926]),
[iquote('0:Rew:70931.0,70926.0')] ).
cnf(71267,plain,
equal(product(a75,a92),a90),
inference(rew,[status(thm),theory(equality)],[71258,68157]),
[iquote('0:Rew:71258.0,68157.0')] ).
cnf(71271,plain,
equal(a91,a92),
inference(rew,[status(thm),theory(equality)],[68794,68528,71255,71256]),
[iquote('0:Rew:68794.0,68528.0,71255.0,68528.0,71256.0,68528.0')] ).
cnf(71464,plain,
equal(a90,a77),
inference(rew,[status(thm),theory(equality)],[71267,68604,71257]),
[iquote('0:Rew:71267.0,68604.0,71257.0,68604.0')] ).
cnf(71466,plain,
equal(product(a77,a41),a89),
inference(rew,[status(thm),theory(equality)],[71464,338]),
[iquote('0:Rew:71464.0,338.0')] ).
cnf(71653,plain,
equal(a75,a68),
inference(rew,[status(thm),theory(equality)],[350,68702]),
[iquote('0:Rew:350.0,68702.0')] ).
cnf(71657,plain,
equal(product(a68,a14),a74),
inference(rew,[status(thm),theory(equality)],[71653,363]),
[iquote('0:Rew:71653.0,363.0')] ).
cnf(71782,plain,
equal(a76,a68),
inference(rew,[status(thm),theory(equality)],[1,68703]),
[iquote('0:Rew:1.0,68703.0')] ).
cnf(71905,plain,
equal(product(a92,a92),a68),
inference(rew,[status(thm),theory(equality)],[71271,68707,71258]),
[iquote('0:Rew:71271.0,68707.0,71258.0,68707.0')] ).
cnf(71906,plain,
equal(a68,a92),
inference(rew,[status(thm),theory(equality)],[1,71905]),
[iquote('0:Rew:1.0,71905.0')] ).
cnf(71907,plain,
equal(product(a92,a32),a69),
inference(rew,[status(thm),theory(equality)],[71906,71]),
[iquote('0:Rew:71906.0,71.0')] ).
cnf(71909,plain,
equal(product(a69,a32),a92),
inference(rew,[status(thm),theory(equality)],[71906,354]),
[iquote('0:Rew:71906.0,354.0')] ).
cnf(72075,plain,
equal(a75,a92),
inference(rew,[status(thm),theory(equality)],[71906,71653]),
[iquote('0:Rew:71906.0,71653.0')] ).
cnf(72076,plain,
equal(a76,a92),
inference(rew,[status(thm),theory(equality)],[71906,71782]),
[iquote('0:Rew:71906.0,71782.0')] ).
cnf(72082,plain,
equal(product(a92,a32),a120),
inference(rew,[status(thm),theory(equality)],[70931,68811]),
[iquote('0:Rew:70931.0,68811.0')] ).
cnf(72087,plain,
equal(product(a92,a92),a77),
inference(rew,[status(thm),theory(equality)],[71906,68822,70931]),
[iquote('0:Rew:71906.0,68822.0,70931.0,68822.0')] ).
cnf(72088,plain,
equal(a77,a92),
inference(rew,[status(thm),theory(equality)],[1,72087]),
[iquote('0:Rew:1.0,72087.0')] ).
cnf(72089,plain,
equal(product(a92,a13),a78),
inference(rew,[status(thm),theory(equality)],[72088,80]),
[iquote('0:Rew:72088.0,80.0')] ).
cnf(72234,plain,
equal(a90,a92),
inference(rew,[status(thm),theory(equality)],[72088,71464]),
[iquote('0:Rew:72088.0,71464.0')] ).
cnf(72243,plain,
equal(product(a92,a92),a98),
inference(rew,[status(thm),theory(equality)],[71258,68832,70931]),
[iquote('0:Rew:71258.0,68832.0,70931.0,68832.0')] ).
cnf(72244,plain,
equal(a98,a92),
inference(rew,[status(thm),theory(equality)],[1,72243]),
[iquote('0:Rew:1.0,72243.0')] ).
cnf(72245,plain,
equal(product(a97,a1),a92),
inference(rew,[status(thm),theory(equality)],[72244,100]),
[iquote('0:Rew:72244.0,100.0')] ).
cnf(72246,plain,
equal(product(a92,a1),a97),
inference(rew,[status(thm),theory(equality)],[72244,330]),
[iquote('0:Rew:72244.0,330.0')] ).
cnf(72369,plain,
equal(product(a118,a73),a118),
inference(rew,[status(thm),theory(equality)],[9140,69099]),
[iquote('0:Rew:9140.0,69099.0')] ).
cnf(72374,plain,
equal(product(a73,a118),a71),
inference(rew,[status(thm),theory(equality)],[72369,46251]),
[iquote('0:Rew:72369.0,46251.0')] ).
cnf(72377,plain,
equal(product(a108,a118),a118),
inference(rew,[status(thm),theory(equality)],[72369,47481]),
[iquote('0:Rew:72369.0,47481.0')] ).
cnf(72379,plain,
equal(product(a71,a118),a73),
inference(rew,[status(thm),theory(equality)],[72369,47672]),
[iquote('0:Rew:72369.0,47672.0')] ).
cnf(72381,plain,
equal(product(a118,a118),a108),
inference(rew,[status(thm),theory(equality)],[72369,49202]),
[iquote('0:Rew:72369.0,49202.0')] ).
cnf(72564,plain,
equal(product(a92,a14),a116),
inference(rew,[status(thm),theory(equality)],[71257,69378]),
[iquote('0:Rew:71257.0,69378.0')] ).
cnf(72578,plain,
equal(product(a67,a92),a92),
inference(rew,[status(thm),theory(equality)],[70931,69653,72075]),
[iquote('0:Rew:70931.0,69653.0,72075.0,69653.0')] ).
cnf(72579,plain,
equal(a92,a66),
inference(rew,[status(thm),theory(equality)],[389,72578]),
[iquote('0:Rew:389.0,72578.0')] ).
cnf(72580,plain,
equal(product(a66,a2),a93),
inference(rew,[status(thm),theory(equality)],[72579,95]),
[iquote('0:Rew:72579.0,95.0')] ).
cnf(72735,plain,
equal(a114,a66),
inference(rew,[status(thm),theory(equality)],[72579,70931]),
[iquote('0:Rew:72579.0,70931.0')] ).
cnf(72736,plain,
equal(a121,a66),
inference(rew,[status(thm),theory(equality)],[72579,71254]),
[iquote('0:Rew:72579.0,71254.0')] ).
cnf(72737,plain,
equal(a99,a66),
inference(rew,[status(thm),theory(equality)],[72579,71255]),
[iquote('0:Rew:72579.0,71255.0')] ).
cnf(72738,plain,
equal(a100,a66),
inference(rew,[status(thm),theory(equality)],[72579,71256]),
[iquote('0:Rew:72579.0,71256.0')] ).
cnf(72739,plain,
equal(a124,a66),
inference(rew,[status(thm),theory(equality)],[72579,71257]),
[iquote('0:Rew:72579.0,71257.0')] ).
cnf(72740,plain,
equal(a115,a66),
inference(rew,[status(thm),theory(equality)],[72579,71258]),
[iquote('0:Rew:72579.0,71258.0')] ).
cnf(72742,plain,
equal(a123,a66),
inference(rew,[status(thm),theory(equality)],[72579,71260]),
[iquote('0:Rew:72579.0,71260.0')] ).
cnf(72743,plain,
equal(a91,a66),
inference(rew,[status(thm),theory(equality)],[72579,71271]),
[iquote('0:Rew:72579.0,71271.0')] ).
cnf(72744,plain,
equal(a68,a66),
inference(rew,[status(thm),theory(equality)],[72579,71906]),
[iquote('0:Rew:72579.0,71906.0')] ).
cnf(72745,plain,
equal(a75,a66),
inference(rew,[status(thm),theory(equality)],[72579,72075]),
[iquote('0:Rew:72579.0,72075.0')] ).
cnf(72746,plain,
equal(a76,a66),
inference(rew,[status(thm),theory(equality)],[72579,72076]),
[iquote('0:Rew:72579.0,72076.0')] ).
cnf(72748,plain,
equal(product(a66,a32),a120),
inference(rew,[status(thm),theory(equality)],[72579,72082]),
[iquote('0:Rew:72579.0,72082.0')] ).
cnf(72749,plain,
equal(a77,a66),
inference(rew,[status(thm),theory(equality)],[72579,72088]),
[iquote('0:Rew:72579.0,72088.0')] ).
cnf(72750,plain,
equal(a90,a66),
inference(rew,[status(thm),theory(equality)],[72579,72234]),
[iquote('0:Rew:72579.0,72234.0')] ).
cnf(72751,plain,
equal(a98,a66),
inference(rew,[status(thm),theory(equality)],[72579,72244]),
[iquote('0:Rew:72579.0,72244.0')] ).
cnf(72753,plain,
equal(product(a66,a14),a116),
inference(rew,[status(thm),theory(equality)],[72579,72564]),
[iquote('0:Rew:72579.0,72564.0')] ).
cnf(72754,plain,
equal(product(a66,a66),a67),
inference(rew,[status(thm),theory(equality)],[72745,69654,72735]),
[iquote('0:Rew:72745.0,69654.0,72735.0,69654.0')] ).
cnf(72755,plain,
equal(a67,a66),
inference(rew,[status(thm),theory(equality)],[1,72754]),
[iquote('0:Rew:1.0,72754.0')] ).
cnf(72766,plain,
equal(product(a66,a2),a125),
inference(rew,[status(thm),theory(equality)],[72738,70142]),
[iquote('0:Rew:72738.0,70142.0')] ).
cnf(72767,plain,
equal(a125,a65),
inference(rew,[status(thm),theory(equality)],[344,72766]),
[iquote('0:Rew:344.0,72766.0')] ).
cnf(72768,plain,
equal(product(a65,a65),a126),
inference(rew,[status(thm),theory(equality)],[72767,128]),
[iquote('0:Rew:72767.0,128.0')] ).
cnf(72862,plain,
equal(product(a66,a14),a101),
inference(rew,[status(thm),theory(equality)],[72735,70644]),
[iquote('0:Rew:72735.0,70644.0')] ).
cnf(72871,plain,
equal(product(a66,a13),a113),
inference(rew,[status(thm),theory(equality)],[72579,70934]),
[iquote('0:Rew:72579.0,70934.0')] ).
cnf(72884,plain,
equal(product(a66,a41),a89),
inference(rew,[status(thm),theory(equality)],[72749,71466]),
[iquote('0:Rew:72749.0,71466.0')] ).
cnf(72885,plain,
equal(product(a64,a3),a89),
inference(rew,[status(thm),theory(equality)],[2693,72884]),
[iquote('0:Rew:2693.0,72884.0')] ).
cnf(72886,plain,
equal(product(a66,a41),a89),
inference(rew,[status(thm),theory(equality)],[72885,2693]),
[iquote('0:Rew:72885.0,2693.0')] ).
cnf(72906,plain,
equal(a101,a74),
inference(rew,[status(thm),theory(equality)],[72862,71657,72744]),
[iquote('0:Rew:72862.0,71657.0,72744.0,71657.0')] ).
cnf(72907,plain,
equal(product(a74,a40),a102),
inference(rew,[status(thm),theory(equality)],[72906,104]),
[iquote('0:Rew:72906.0,104.0')] ).
cnf(72908,plain,
equal(product(a102,a40),a74),
inference(rew,[status(thm),theory(equality)],[72906,385]),
[iquote('0:Rew:72906.0,385.0')] ).
cnf(73080,plain,
equal(product(a66,a14),a74),
inference(rew,[status(thm),theory(equality)],[72906,72862]),
[iquote('0:Rew:72906.0,72862.0')] ).
cnf(73086,plain,
equal(product(a66,a32),a69),
inference(rew,[status(thm),theory(equality)],[72579,71907]),
[iquote('0:Rew:72579.0,71907.0')] ).
cnf(73088,plain,
equal(product(a69,a32),a66),
inference(rew,[status(thm),theory(equality)],[72579,71909]),
[iquote('0:Rew:72579.0,71909.0')] ).
cnf(73091,plain,
equal(a113,a78),
inference(rew,[status(thm),theory(equality)],[72871,72089,72579]),
[iquote('0:Rew:72871.0,72089.0,72579.0,72089.0')] ).
cnf(73093,plain,
equal(product(a78,a33),a112),
inference(rew,[status(thm),theory(equality)],[73091,367]),
[iquote('0:Rew:73091.0,367.0')] ).
cnf(73218,plain,
equal(product(a66,a13),a78),
inference(rew,[status(thm),theory(equality)],[73091,72871]),
[iquote('0:Rew:73091.0,72871.0')] ).
cnf(73220,plain,
equal(product(a97,a1),a66),
inference(rew,[status(thm),theory(equality)],[72579,72245]),
[iquote('0:Rew:72579.0,72245.0')] ).
cnf(73221,plain,
equal(product(a66,a1),a97),
inference(rew,[status(thm),theory(equality)],[72579,72246]),
[iquote('0:Rew:72579.0,72246.0')] ).
cnf(73222,plain,
equal(product(a70,a110),a71),
inference(rew,[status(thm),theory(equality)],[49478,72374]),
[iquote('0:Rew:49478.0,72374.0')] ).
cnf(73228,plain,
equal(product(a71,a71),a82),
inference(rew,[status(thm),theory(equality)],[73222,46418]),
[iquote('0:Rew:73222.0,46418.0')] ).
cnf(73229,plain,
equal(product(a118,a71),a110),
inference(rew,[status(thm),theory(equality)],[73222,46716]),
[iquote('0:Rew:73222.0,46716.0')] ).
cnf(73233,plain,
equal(product(a71,a73),a71),
inference(rew,[status(thm),theory(equality)],[73222,49477]),
[iquote('0:Rew:73222.0,49477.0')] ).
cnf(73235,plain,
equal(product(a108,a71),a119),
inference(rew,[status(thm),theory(equality)],[73222,49482]),
[iquote('0:Rew:73222.0,49482.0')] ).
cnf(73376,plain,
equal(a109,a118),
inference(rew,[status(thm),theory(equality)],[111,72377]),
[iquote('0:Rew:111.0,72377.0')] ).
cnf(73379,plain,
equal(product(a71,a118),a72),
inference(rew,[status(thm),theory(equality)],[73376,74]),
[iquote('0:Rew:73376.0,74.0')] ).
cnf(73407,plain,
equal(product(a118,a118),a112),
inference(rew,[status(thm),theory(equality)],[73376,46424]),
[iquote('0:Rew:73376.0,46424.0')] ).
cnf(73409,plain,
equal(product(a79,a118),a73),
inference(rew,[status(thm),theory(equality)],[73376,46740]),
[iquote('0:Rew:73376.0,46740.0')] ).
cnf(74034,plain,
equal(a73,a70),
inference(rew,[status(thm),theory(equality)],[374,72379]),
[iquote('0:Rew:374.0,72379.0')] ).
cnf(74035,plain,
equal(product(a70,a32),a74),
inference(rew,[status(thm),theory(equality)],[74034,76]),
[iquote('0:Rew:74034.0,76.0')] ).
cnf(74037,plain,
equal(product(a74,a32),a70),
inference(rew,[status(thm),theory(equality)],[74034,353]),
[iquote('0:Rew:74034.0,353.0')] ).
cnf(74046,plain,
equal(product(a70,a70),a83),
inference(rew,[status(thm),theory(equality)],[74034,45451]),
[iquote('0:Rew:74034.0,45451.0')] ).
cnf(74049,plain,
equal(product(a108,a70),a110),
inference(rew,[status(thm),theory(equality)],[74034,46342]),
[iquote('0:Rew:74034.0,46342.0')] ).
cnf(74429,plain,
equal(a108,a118),
inference(rew,[status(thm),theory(equality)],[1,72381]),
[iquote('0:Rew:1.0,72381.0')] ).
cnf(74431,plain,
equal(product(a118,a39),a107),
inference(rew,[status(thm),theory(equality)],[74429,301]),
[iquote('0:Rew:74429.0,301.0')] ).
cnf(74433,plain,
equal(product(a118,a70),a111),
inference(rew,[status(thm),theory(equality)],[74429,3246]),
[iquote('0:Rew:74429.0,3246.0')] ).
cnf(74853,plain,
equal(a93,a65),
inference(rew,[status(thm),theory(equality)],[344,72580]),
[iquote('0:Rew:344.0,72580.0')] ).
cnf(74854,plain,
equal(product(a65,a41),a94),
inference(rew,[status(thm),theory(equality)],[74853,96]),
[iquote('0:Rew:74853.0,96.0')] ).
cnf(74929,plain,
equal(a120,a69),
inference(rew,[status(thm),theory(equality)],[73086,72748]),
[iquote('0:Rew:73086.0,72748.0')] ).
cnf(75091,plain,
equal(a126,a65),
inference(rew,[status(thm),theory(equality)],[1,72768]),
[iquote('0:Rew:1.0,72768.0')] ).
cnf(75092,plain,
equal(product(a65,a41),a127),
inference(rew,[status(thm),theory(equality)],[75091,129]),
[iquote('0:Rew:75091.0,129.0')] ).
cnf(75179,plain,
equal(a116,a74),
inference(rew,[status(thm),theory(equality)],[72753,73080]),
[iquote('0:Rew:72753.0,73080.0')] ).
cnf(75196,plain,
equal(a117,a74),
inference(rew,[status(thm),theory(equality)],[75179,69098]),
[iquote('0:Rew:75179.0,69098.0')] ).
cnf(75201,plain,
equal(product(a66,a14),a74),
inference(rew,[status(thm),theory(equality)],[75179,72753]),
[iquote('0:Rew:75179.0,72753.0')] ).
cnf(75202,plain,
equal(a112,a79),
inference(rew,[status(thm),theory(equality)],[81,73093]),
[iquote('0:Rew:81.0,73093.0')] ).
cnf(75509,plain,
equal(a82,a71),
inference(rew,[status(thm),theory(equality)],[1,73228]),
[iquote('0:Rew:1.0,73228.0')] ).
cnf(75743,plain,
equal(product(a110,a39),a106),
inference(rew,[status(thm),theory(equality)],[73229,46600]),
[iquote('0:Rew:73229.0,46600.0')] ).
cnf(75825,plain,
equal(product(a71,a70),a71),
inference(rew,[status(thm),theory(equality)],[74034,73233]),
[iquote('0:Rew:74034.0,73233.0')] ).
cnf(75826,plain,
equal(a79,a71),
inference(rew,[status(thm),theory(equality)],[46208,75825]),
[iquote('0:Rew:46208.0,75825.0')] ).
cnf(75827,plain,
equal(product(a78,a33),a71),
inference(rew,[status(thm),theory(equality)],[75826,81]),
[iquote('0:Rew:75826.0,81.0')] ).
cnf(76077,plain,
equal(a112,a71),
inference(rew,[status(thm),theory(equality)],[75826,75202]),
[iquote('0:Rew:75826.0,75202.0')] ).
cnf(76080,plain,
equal(a110,a119),
inference(rew,[status(thm),theory(equality)],[73229,73235,74429]),
[iquote('0:Rew:73229.0,73235.0,74429.0,73235.0')] ).
cnf(76141,plain,
equal(a72,a70),
inference(rew,[status(thm),theory(equality)],[374,73379]),
[iquote('0:Rew:374.0,73379.0')] ).
cnf(76226,plain,
equal(a112,a118),
inference(rew,[status(thm),theory(equality)],[1,73407]),
[iquote('0:Rew:1.0,73407.0')] ).
cnf(76227,plain,
equal(a118,a71),
inference(rew,[status(thm),theory(equality)],[76077,76226]),
[iquote('0:Rew:76077.0,76226.0')] ).
cnf(76331,plain,
equal(a109,a71),
inference(rew,[status(thm),theory(equality)],[76227,73376]),
[iquote('0:Rew:76227.0,73376.0')] ).
cnf(76333,plain,
equal(a108,a71),
inference(rew,[status(thm),theory(equality)],[76227,74429]),
[iquote('0:Rew:76227.0,74429.0')] ).
cnf(76339,plain,
equal(product(a71,a71),a70),
inference(rew,[status(thm),theory(equality)],[75826,73409,76227,74034]),
[iquote('0:Rew:75826.0,73409.0,76227.0,73409.0,74034.0,73409.0')] ).
cnf(76340,plain,
equal(a71,a70),
inference(rew,[status(thm),theory(equality)],[1,76339]),
[iquote('0:Rew:1.0,76339.0')] ).
cnf(76404,plain,
equal(a82,a70),
inference(rew,[status(thm),theory(equality)],[76340,75509]),
[iquote('0:Rew:76340.0,75509.0')] ).
cnf(76405,plain,
equal(a79,a70),
inference(rew,[status(thm),theory(equality)],[76340,75826]),
[iquote('0:Rew:76340.0,75826.0')] ).
cnf(76406,plain,
equal(a112,a70),
inference(rew,[status(thm),theory(equality)],[76340,76077]),
[iquote('0:Rew:76340.0,76077.0')] ).
cnf(76407,plain,
equal(a118,a70),
inference(rew,[status(thm),theory(equality)],[76340,76227]),
[iquote('0:Rew:76340.0,76227.0')] ).
cnf(76408,plain,
equal(a109,a70),
inference(rew,[status(thm),theory(equality)],[76340,76331]),
[iquote('0:Rew:76340.0,76331.0')] ).
cnf(76409,plain,
equal(a108,a70),
inference(rew,[status(thm),theory(equality)],[76340,76333]),
[iquote('0:Rew:76340.0,76333.0')] ).
cnf(76419,plain,
equal(a83,a70),
inference(rew,[status(thm),theory(equality)],[1,74046]),
[iquote('0:Rew:1.0,74046.0')] ).
cnf(76420,plain,
equal(product(a70,a39),a84),
inference(rew,[status(thm),theory(equality)],[76419,86]),
[iquote('0:Rew:76419.0,86.0')] ).
cnf(76421,plain,
equal(product(a84,a39),a70),
inference(rew,[status(thm),theory(equality)],[76419,302]),
[iquote('0:Rew:76419.0,302.0')] ).
cnf(76554,plain,
equal(product(a70,a70),a119),
inference(rew,[status(thm),theory(equality)],[76409,74049,76080]),
[iquote('0:Rew:76409.0,74049.0,76080.0,74049.0')] ).
cnf(76555,plain,
equal(a119,a70),
inference(rew,[status(thm),theory(equality)],[1,76554]),
[iquote('0:Rew:1.0,76554.0')] ).
cnf(76566,plain,
equal(a110,a70),
inference(rew,[status(thm),theory(equality)],[76555,76080]),
[iquote('0:Rew:76555.0,76080.0')] ).
cnf(76574,plain,
equal(product(a70,a39),a107),
inference(rew,[status(thm),theory(equality)],[76407,74431]),
[iquote('0:Rew:76407.0,74431.0')] ).
cnf(76579,plain,
equal(product(a70,a70),a111),
inference(rew,[status(thm),theory(equality)],[76407,74433]),
[iquote('0:Rew:76407.0,74433.0')] ).
cnf(76580,plain,
equal(a111,a70),
inference(rew,[status(thm),theory(equality)],[1,76579]),
[iquote('0:Rew:1.0,76579.0')] ).
cnf(76604,plain,
equal(a94,a64),
inference(rew,[status(thm),theory(equality)],[339,74854]),
[iquote('0:Rew:339.0,74854.0')] ).
cnf(76605,plain,
equal(product(a64,a127),a95),
inference(rew,[status(thm),theory(equality)],[76604,97]),
[iquote('0:Rew:76604.0,97.0')] ).
cnf(76722,plain,
equal(a127,a64),
inference(rew,[status(thm),theory(equality)],[339,75092]),
[iquote('0:Rew:339.0,75092.0')] ).
cnf(76723,plain,
equal(product(a64,a96),a128),
inference(rew,[status(thm),theory(equality)],[76722,130]),
[iquote('0:Rew:76722.0,130.0')] ).
cnf(76726,plain,
equal(product(a64,a64),a63),
inference(rew,[status(thm),theory(equality)],[76722,394]),
[iquote('0:Rew:76722.0,394.0')] ).
cnf(76907,plain,
equal(a107,a106),
inference(rew,[status(thm),theory(equality)],[76574,75743,76566]),
[iquote('0:Rew:76574.0,75743.0,76566.0,75743.0')] ).
cnf(76974,plain,
equal(product(a70,a39),a106),
inference(rew,[status(thm),theory(equality)],[76907,76574]),
[iquote('0:Rew:76907.0,76574.0')] ).
cnf(76976,plain,
equal(product(a78,a33),a70),
inference(rew,[status(thm),theory(equality)],[76340,75827]),
[iquote('0:Rew:76340.0,75827.0')] ).
cnf(77009,plain,
equal(product(a64,a64),a95),
inference(rew,[status(thm),theory(equality)],[76722,76605]),
[iquote('0:Rew:76722.0,76605.0')] ).
cnf(77010,plain,
equal(a95,a64),
inference(rew,[status(thm),theory(equality)],[1,77009]),
[iquote('0:Rew:1.0,77009.0')] ).
cnf(77011,plain,
equal(product(a64,a64),a96),
inference(rew,[status(thm),theory(equality)],[77010,98]),
[iquote('0:Rew:77010.0,98.0')] ).
cnf(77082,plain,
equal(product(a62,a128),a128),
inference(rew,[status(thm),theory(equality)],[2534,76723]),
[iquote('0:Rew:2534.0,76723.0')] ).
cnf(77083,plain,
equal(product(a64,a96),a128),
inference(rew,[status(thm),theory(equality)],[77082,2534]),
[iquote('0:Rew:77082.0,2534.0')] ).
cnf(77148,plain,
equal(a64,a63),
inference(rew,[status(thm),theory(equality)],[1,76726]),
[iquote('0:Rew:1.0,76726.0')] ).
cnf(77149,plain,
equal(product(a63,a41),a65),
inference(rew,[status(thm),theory(equality)],[77148,67]),
[iquote('0:Rew:77148.0,67.0')] ).
cnf(77222,plain,
equal(a94,a63),
inference(rew,[status(thm),theory(equality)],[77148,76604]),
[iquote('0:Rew:77148.0,76604.0')] ).
cnf(77223,plain,
equal(a127,a63),
inference(rew,[status(thm),theory(equality)],[77148,76722]),
[iquote('0:Rew:77148.0,76722.0')] ).
cnf(77224,plain,
equal(a95,a63),
inference(rew,[status(thm),theory(equality)],[77148,77010]),
[iquote('0:Rew:77148.0,77010.0')] ).
cnf(77227,plain,
equal(a106,a84),
inference(rew,[status(thm),theory(equality)],[76420,76974]),
[iquote('0:Rew:76420.0,76974.0')] ).
cnf(77229,plain,
equal(product(a84,a5),a105),
inference(rew,[status(thm),theory(equality)],[77227,376]),
[iquote('0:Rew:77227.0,376.0')] ).
cnf(77356,plain,
equal(a107,a84),
inference(rew,[status(thm),theory(equality)],[77227,76907]),
[iquote('0:Rew:77227.0,76907.0')] ).
cnf(77358,plain,
equal(a64,a96),
inference(rew,[status(thm),theory(equality)],[1,77011]),
[iquote('0:Rew:1.0,77011.0')] ).
cnf(77359,plain,
equal(a96,a63),
inference(rew,[status(thm),theory(equality)],[77148,77358]),
[iquote('0:Rew:77148.0,77358.0')] ).
cnf(77360,plain,
equal(product(a63,a42),a97),
inference(rew,[status(thm),theory(equality)],[77359,99]),
[iquote('0:Rew:77359.0,99.0')] ).
cnf(77362,plain,
equal(product(a63,a63),a62),
inference(rew,[status(thm),theory(equality)],[77359,335]),
[iquote('0:Rew:77359.0,335.0')] ).
cnf(77495,plain,
equal(product(a63,a63),a128),
inference(rew,[status(thm),theory(equality)],[77148,77083,77359]),
[iquote('0:Rew:77148.0,77083.0,77359.0,77083.0')] ).
cnf(77496,plain,
equal(a63,a128),
inference(rew,[status(thm),theory(equality)],[1,77495]),
[iquote('0:Rew:1.0,77495.0')] ).
cnf(77511,plain,
equal(a64,a128),
inference(rew,[status(thm),theory(equality)],[77496,77148]),
[iquote('0:Rew:77496.0,77148.0')] ).
cnf(77512,plain,
equal(a94,a128),
inference(rew,[status(thm),theory(equality)],[77496,77222]),
[iquote('0:Rew:77496.0,77222.0')] ).
cnf(77513,plain,
equal(a127,a128),
inference(rew,[status(thm),theory(equality)],[77496,77223]),
[iquote('0:Rew:77496.0,77223.0')] ).
cnf(77514,plain,
equal(a95,a128),
inference(rew,[status(thm),theory(equality)],[77496,77224]),
[iquote('0:Rew:77496.0,77224.0')] ).
cnf(77515,plain,
equal(a96,a128),
inference(rew,[status(thm),theory(equality)],[77496,77359]),
[iquote('0:Rew:77496.0,77359.0')] ).
cnf(77516,plain,
equal(product(a128,a41),a65),
inference(rew,[status(thm),theory(equality)],[77496,77149]),
[iquote('0:Rew:77496.0,77149.0')] ).
cnf(77520,plain,
equal(a105,a85),
inference(rew,[status(thm),theory(equality)],[87,77229]),
[iquote('0:Rew:87.0,77229.0')] ).
cnf(77522,plain,
equal(product(a85,a30),a104),
inference(rew,[status(thm),theory(equality)],[77520,379]),
[iquote('0:Rew:77520.0,379.0')] ).
cnf(77610,plain,
equal(product(a128,a42),a97),
inference(rew,[status(thm),theory(equality)],[77496,77360]),
[iquote('0:Rew:77496.0,77360.0')] ).
cnf(77612,plain,
equal(a63,a62),
inference(rew,[status(thm),theory(equality)],[1,77362]),
[iquote('0:Rew:1.0,77362.0')] ).
cnf(77613,plain,
equal(a128,a62),
inference(rew,[status(thm),theory(equality)],[77496,77612]),
[iquote('0:Rew:77496.0,77612.0')] ).
cnf(77614,plain,
equal(product(a62,a62),a129),
inference(rew,[status(thm),theory(equality)],[77613,131]),
[iquote('0:Rew:77613.0,131.0')] ).
cnf(77615,plain,
equal(product(a43,a62),a44),
inference(rew,[status(thm),theory(equality)],[77613,46]),
[iquote('0:Rew:77613.0,46.0')] ).
cnf(77752,plain,
equal(a63,a62),
inference(rew,[status(thm),theory(equality)],[77613,77496]),
[iquote('0:Rew:77613.0,77496.0')] ).
cnf(77753,plain,
equal(a64,a62),
inference(rew,[status(thm),theory(equality)],[77613,77511]),
[iquote('0:Rew:77613.0,77511.0')] ).
cnf(77754,plain,
equal(a94,a62),
inference(rew,[status(thm),theory(equality)],[77613,77512]),
[iquote('0:Rew:77613.0,77512.0')] ).
cnf(77755,plain,
equal(a127,a62),
inference(rew,[status(thm),theory(equality)],[77613,77513]),
[iquote('0:Rew:77613.0,77513.0')] ).
cnf(77756,plain,
equal(a95,a62),
inference(rew,[status(thm),theory(equality)],[77613,77514]),
[iquote('0:Rew:77613.0,77514.0')] ).
cnf(77757,plain,
equal(a96,a62),
inference(rew,[status(thm),theory(equality)],[77613,77515]),
[iquote('0:Rew:77613.0,77515.0')] ).
cnf(77758,plain,
equal(product(a62,a41),a65),
inference(rew,[status(thm),theory(equality)],[77613,77516]),
[iquote('0:Rew:77613.0,77516.0')] ).
cnf(77761,plain,
equal(product(a62,a42),a97),
inference(rew,[status(thm),theory(equality)],[77613,77610]),
[iquote('0:Rew:77613.0,77610.0')] ).
cnf(77763,plain,
equal(a104,a86),
inference(rew,[status(thm),theory(equality)],[88,77522]),
[iquote('0:Rew:88.0,77522.0')] ).
cnf(77765,plain,
equal(product(a86,a86),a87),
inference(rew,[status(thm),theory(equality)],[77763,89]),
[iquote('0:Rew:77763.0,89.0')] ).
cnf(77766,plain,
equal(product(a86,a87),a103),
inference(rew,[status(thm),theory(equality)],[77763,381]),
[iquote('0:Rew:77763.0,381.0')] ).
cnf(77934,plain,
equal(a129,a62),
inference(rew,[status(thm),theory(equality)],[1,77614]),
[iquote('0:Rew:1.0,77614.0')] ).
cnf(77935,plain,
equal(product(a62,a1),a130),
inference(rew,[status(thm),theory(equality)],[77934,132]),
[iquote('0:Rew:77934.0,132.0')] ).
cnf(78031,plain,
equal(a44,a42),
inference(rew,[status(thm),theory(equality)],[333,77615]),
[iquote('0:Rew:333.0,77615.0')] ).
cnf(78032,plain,
equal(product(a42,a23),a45),
inference(rew,[status(thm),theory(equality)],[78031,47]),
[iquote('0:Rew:78031.0,47.0')] ).
cnf(78033,plain,
equal(product(a45,a23),a42),
inference(rew,[status(thm),theory(equality)],[78031,291]),
[iquote('0:Rew:78031.0,291.0')] ).
cnf(78233,plain,
equal(a87,a86),
inference(rew,[status(thm),theory(equality)],[1,77765]),
[iquote('0:Rew:1.0,77765.0')] ).
cnf(78234,plain,
equal(product(a86,a4),a88),
inference(rew,[status(thm),theory(equality)],[78233,90]),
[iquote('0:Rew:78233.0,90.0')] ).
cnf(78235,plain,
equal(product(a88,a4),a86),
inference(rew,[status(thm),theory(equality)],[78233,383]),
[iquote('0:Rew:78233.0,383.0')] ).
cnf(78316,plain,
equal(product(a86,a86),a103),
inference(rew,[status(thm),theory(equality)],[78233,77766]),
[iquote('0:Rew:78233.0,77766.0')] ).
cnf(78317,plain,
equal(a103,a86),
inference(rew,[status(thm),theory(equality)],[1,78316]),
[iquote('0:Rew:1.0,78316.0')] ).
cnf(78319,plain,
equal(product(a86,a4),a102),
inference(rew,[status(thm),theory(equality)],[78317,382]),
[iquote('0:Rew:78317.0,382.0')] ).
cnf(78374,plain,
equal(a130,a61),
inference(rew,[status(thm),theory(equality)],[331,77935]),
[iquote('0:Rew:331.0,77935.0')] ).
cnf(78375,plain,
equal(product(a61,a13),a131),
inference(rew,[status(thm),theory(equality)],[78374,133]),
[iquote('0:Rew:78374.0,133.0')] ).
cnf(78376,plain,
equal(product(a131,a13),a61),
inference(rew,[status(thm),theory(equality)],[78374,322]),
[iquote('0:Rew:78374.0,322.0')] ).
cnf(78549,plain,
equal(a102,a88),
inference(rew,[status(thm),theory(equality)],[78234,78319]),
[iquote('0:Rew:78234.0,78319.0')] ).
cnf(78552,plain,
equal(product(a74,a40),a88),
inference(rew,[status(thm),theory(equality)],[78549,72907]),
[iquote('0:Rew:78549.0,72907.0')] ).
cnf(78553,plain,
equal(product(a88,a40),a74),
inference(rew,[status(thm),theory(equality)],[78549,72908]),
[iquote('0:Rew:78549.0,72908.0')] ).
cnf(78555,plain,
equal(a60,a131),
inference(rew,[status(thm),theory(equality)],[327,78375]),
[iquote('0:Rew:327.0,78375.0')] ).
cnf(78558,plain,
equal(product(a34,a131),a35),
inference(rew,[status(thm),theory(equality)],[78555,37]),
[iquote('0:Rew:78555.0,37.0')] ).
cnf(78559,plain,
equal(product(a61,a13),a131),
inference(rew,[status(thm),theory(equality)],[78555,327]),
[iquote('0:Rew:78555.0,327.0')] ).
cnf(78560,plain,
equal(product(a131,a131),a59),
inference(rew,[status(thm),theory(equality)],[78555,402]),
[iquote('0:Rew:78555.0,402.0')] ).
cnf(78561,plain,
equal(product(a35,a131),a34),
inference(rew,[status(thm),theory(equality)],[78555,420]),
[iquote('0:Rew:78555.0,420.0')] ).
cnf(78934,plain,
equal(a33,a35),
inference(rew,[status(thm),theory(equality)],[404,78558]),
[iquote('0:Rew:404.0,78558.0')] ).
cnf(78937,plain,
equal(product(a35,a13),a32),
inference(rew,[status(thm),theory(equality)],[78934,328]),
[iquote('0:Rew:78934.0,328.0')] ).
cnf(79135,plain,
equal(product(a78,a35),a70),
inference(rew,[status(thm),theory(equality)],[78934,76976]),
[iquote('0:Rew:78934.0,76976.0')] ).
cnf(79136,plain,
equal(a59,a131),
inference(rew,[status(thm),theory(equality)],[1,78560]),
[iquote('0:Rew:1.0,78560.0')] ).
cnf(79138,plain,
equal(product(a50,a131),a51),
inference(rew,[status(thm),theory(equality)],[79136,53]),
[iquote('0:Rew:79136.0,53.0')] ).
cnf(79139,plain,
equal(product(a131,a138),a58),
inference(rew,[status(thm),theory(equality)],[79136,319]),
[iquote('0:Rew:79136.0,319.0')] ).
cnf(79460,plain,
equal(a51,a49),
inference(rew,[status(thm),theory(equality)],[403,79138]),
[iquote('0:Rew:403.0,79138.0')] ).
cnf(79461,plain,
equal(product(a137,a49),a138),
inference(rew,[status(thm),theory(equality)],[79460,140]),
[iquote('0:Rew:79460.0,140.0')] ).
cnf(79462,plain,
equal(product(a49,a39),a52),
inference(rew,[status(thm),theory(equality)],[79460,54]),
[iquote('0:Rew:79460.0,54.0')] ).
cnf(79464,plain,
equal(product(a52,a39),a49),
inference(rew,[status(thm),theory(equality)],[79460,303]),
[iquote('0:Rew:79460.0,303.0')] ).
cnf(79739,plain,
equal(a132,a58),
inference(rew,[status(thm),theory(equality)],[134,79139]),
[iquote('0:Rew:134.0,79139.0')] ).
cnf(79740,plain,
equal(product(a58,a58),a133),
inference(rew,[status(thm),theory(equality)],[79739,135]),
[iquote('0:Rew:79739.0,135.0')] ).
cnf(79741,plain,
equal(product(a131,a138),a58),
inference(rew,[status(thm),theory(equality)],[79739,134]),
[iquote('0:Rew:79739.0,134.0')] ).
cnf(79743,plain,
equal(product(a58,a138),a131),
inference(rew,[status(thm),theory(equality)],[79739,318]),
[iquote('0:Rew:79739.0,318.0')] ).
cnf(80045,plain,
equal(a58,a133),
inference(rew,[status(thm),theory(equality)],[1,79740]),
[iquote('0:Rew:1.0,79740.0')] ).
cnf(80046,plain,
equal(product(a57,a26),a133),
inference(rew,[status(thm),theory(equality)],[80045,60]),
[iquote('0:Rew:80045.0,60.0')] ).
cnf(80047,plain,
equal(product(a18,a133),a19),
inference(rew,[status(thm),theory(equality)],[80045,21]),
[iquote('0:Rew:80045.0,21.0')] ).
cnf(80048,plain,
equal(product(a133,a26),a57),
inference(rew,[status(thm),theory(equality)],[80045,314]),
[iquote('0:Rew:80045.0,314.0')] ).
cnf(80319,plain,
equal(a132,a133),
inference(rew,[status(thm),theory(equality)],[80045,79739]),
[iquote('0:Rew:80045.0,79739.0')] ).
cnf(80320,plain,
equal(product(a131,a138),a133),
inference(rew,[status(thm),theory(equality)],[80045,79741]),
[iquote('0:Rew:80045.0,79741.0')] ).
cnf(80322,plain,
equal(product(a133,a138),a131),
inference(rew,[status(thm),theory(equality)],[80045,79743]),
[iquote('0:Rew:80045.0,79743.0')] ).
cnf(80323,plain,
equal(a19,a17),
inference(rew,[status(thm),theory(equality)],[426,80047]),
[iquote('0:Rew:426.0,80047.0')] ).
cnf(80325,plain,
equal(product(a20,a26),a17),
inference(rew,[status(thm),theory(equality)],[80323,315]),
[iquote('0:Rew:80323.0,315.0')] ).
cnf(80489,plain,
equal(a57,a134),
inference(rew,[status(thm),theory(equality)],[136,80048]),
[iquote('0:Rew:136.0,80048.0')] ).
cnf(80491,plain,
equal(product(a134,a134),a56),
inference(rew,[status(thm),theory(equality)],[80489,405]),
[iquote('0:Rew:80489.0,405.0')] ).
cnf(80492,plain,
equal(product(a134,a37),a54),
inference(rew,[status(thm),theory(equality)],[80489,1927]),
[iquote('0:Rew:80489.0,1927.0')] ).
cnf(80493,plain,
equal(product(a54,a37),a134),
inference(rew,[status(thm),theory(equality)],[80489,1938]),
[iquote('0:Rew:80489.0,1938.0')] ).
cnf(80644,plain,
equal(product(a134,a26),a133),
inference(rew,[status(thm),theory(equality)],[80489,80046]),
[iquote('0:Rew:80489.0,80046.0')] ).
cnf(80646,plain,
equal(a134,a56),
inference(rew,[status(thm),theory(equality)],[1,80491]),
[iquote('0:Rew:1.0,80491.0')] ).
cnf(80647,plain,
equal(product(a56,a37),a135),
inference(rew,[status(thm),theory(equality)],[80646,137]),
[iquote('0:Rew:80646.0,137.0')] ).
cnf(80649,plain,
equal(product(a9,a56),a10),
inference(rew,[status(thm),theory(equality)],[80646,12]),
[iquote('0:Rew:80646.0,12.0')] ).
cnf(80974,plain,
equal(a57,a56),
inference(rew,[status(thm),theory(equality)],[80646,80489]),
[iquote('0:Rew:80646.0,80489.0')] ).
cnf(80976,plain,
equal(product(a56,a37),a54),
inference(rew,[status(thm),theory(equality)],[80646,80492]),
[iquote('0:Rew:80646.0,80492.0')] ).
cnf(80977,plain,
equal(a55,a54),
inference(rew,[status(thm),theory(equality)],[310,80976]),
[iquote('0:Rew:310.0,80976.0')] ).
cnf(80980,plain,
equal(product(a56,a37),a54),
inference(rew,[status(thm),theory(equality)],[80977,310]),
[iquote('0:Rew:80977.0,310.0')] ).
cnf(80982,plain,
equal(product(a54,a29),a52),
inference(rew,[status(thm),theory(equality)],[80977,1823]),
[iquote('0:Rew:80977.0,1823.0')] ).
cnf(81238,plain,
equal(product(a54,a37),a56),
inference(rew,[status(thm),theory(equality)],[80646,80493]),
[iquote('0:Rew:80646.0,80493.0')] ).
cnf(81239,plain,
equal(product(a56,a26),a133),
inference(rew,[status(thm),theory(equality)],[80646,80644]),
[iquote('0:Rew:80646.0,80644.0')] ).
cnf(81240,plain,
equal(a10,a8),
inference(rew,[status(thm),theory(equality)],[429,80649]),
[iquote('0:Rew:429.0,80649.0')] ).
cnf(81241,plain,
equal(product(a8,a37),a11),
inference(rew,[status(thm),theory(equality)],[81240,13]),
[iquote('0:Rew:81240.0,13.0')] ).
cnf(81402,plain,
equal(a135,a54),
inference(rew,[status(thm),theory(equality)],[80647,80980]),
[iquote('0:Rew:80647.0,80980.0')] ).
cnf(81403,plain,
equal(product(a54,a29),a136),
inference(rew,[status(thm),theory(equality)],[81402,138]),
[iquote('0:Rew:81402.0,138.0')] ).
cnf(81404,plain,
equal(product(a136,a29),a54),
inference(rew,[status(thm),theory(equality)],[81402,306]),
[iquote('0:Rew:81402.0,306.0')] ).
cnf(81602,plain,
equal(product(a56,a37),a54),
inference(rew,[status(thm),theory(equality)],[81402,80647]),
[iquote('0:Rew:81402.0,80647.0')] ).
cnf(81606,plain,
equal(a53,a52),
inference(rew,[status(thm),theory(equality)],[307,80982]),
[iquote('0:Rew:307.0,80982.0')] ).
cnf(81609,plain,
equal(product(a14,a52),a15),
inference(rew,[status(thm),theory(equality)],[81606,17]),
[iquote('0:Rew:81606.0,17.0')] ).
cnf(81610,plain,
equal(product(a54,a29),a52),
inference(rew,[status(thm),theory(equality)],[81606,307]),
[iquote('0:Rew:81606.0,307.0')] ).
cnf(81612,plain,
equal(product(a15,a52),a14),
inference(rew,[status(thm),theory(equality)],[81606,427]),
[iquote('0:Rew:81606.0,427.0')] ).
cnf(81875,plain,
equal(a52,a136),
inference(rew,[status(thm),theory(equality)],[81403,81610]),
[iquote('0:Rew:81403.0,81610.0')] ).
cnf(81876,plain,
equal(product(a6,a136),a7),
inference(rew,[status(thm),theory(equality)],[81875,9]),
[iquote('0:Rew:81875.0,9.0')] ).
cnf(82062,plain,
equal(product(a49,a39),a136),
inference(rew,[status(thm),theory(equality)],[81875,79462]),
[iquote('0:Rew:81875.0,79462.0')] ).
cnf(82063,plain,
equal(product(a136,a39),a49),
inference(rew,[status(thm),theory(equality)],[81875,79464]),
[iquote('0:Rew:81875.0,79464.0')] ).
cnf(82064,plain,
equal(a53,a136),
inference(rew,[status(thm),theory(equality)],[81875,81606]),
[iquote('0:Rew:81875.0,81606.0')] ).
cnf(82067,plain,
equal(product(a14,a136),a15),
inference(rew,[status(thm),theory(equality)],[81875,81609]),
[iquote('0:Rew:81875.0,81609.0')] ).
cnf(82069,plain,
equal(product(a15,a136),a14),
inference(rew,[status(thm),theory(equality)],[81875,81612]),
[iquote('0:Rew:81875.0,81612.0')] ).
cnf(82070,plain,
equal(a16,a14),
inference(rew,[status(thm),theory(equality)],[18,82069]),
[iquote('0:Rew:18.0,82069.0')] ).
cnf(82230,plain,
equal(a7,a5),
inference(rew,[status(thm),theory(equality)],[410,81876]),
[iquote('0:Rew:410.0,81876.0')] ).
cnf(82232,plain,
equal(product(a5,a17),a8),
inference(rew,[status(thm),theory(equality)],[82230,10]),
[iquote('0:Rew:82230.0,10.0')] ).
cnf(82233,plain,
equal(product(a39,a5),a38),
inference(rew,[status(thm),theory(equality)],[82230,415]),
[iquote('0:Rew:82230.0,415.0')] ).
cnf(82234,plain,
equal(product(a8,a17),a5),
inference(rew,[status(thm),theory(equality)],[82230,418]),
[iquote('0:Rew:82230.0,418.0')] ).
cnf(82406,plain,
equal(a137,a49),
inference(rew,[status(thm),theory(equality)],[139,82063]),
[iquote('0:Rew:139.0,82063.0')] ).
cnf(82407,plain,
equal(product(a136,a39),a49),
inference(rew,[status(thm),theory(equality)],[82406,139]),
[iquote('0:Rew:82406.0,139.0')] ).
cnf(82533,plain,
equal(product(a49,a49),a138),
inference(rew,[status(thm),theory(equality)],[82406,79461]),
[iquote('0:Rew:82406.0,79461.0')] ).
cnf(82554,plain,
equal(product(a40,a39),a38),
inference(rew,[status(thm),theory(equality)],[82233,1802]),
[iquote('0:Rew:82233.0,1802.0')] ).
cnf(82612,plain,
equal(a138,a49),
inference(rew,[status(thm),theory(equality)],[1,82533]),
[iquote('0:Rew:1.0,82533.0')] ).
cnf(82613,plain,
equal(product(a49,a20),a139),
inference(rew,[status(thm),theory(equality)],[82612,141]),
[iquote('0:Rew:82612.0,141.0')] ).
cnf(82615,plain,
equal(product(a25,a49),a26),
inference(rew,[status(thm),theory(equality)],[82612,28]),
[iquote('0:Rew:82612.0,28.0')] ).
cnf(82617,plain,
equal(product(a49,a49),a48),
inference(rew,[status(thm),theory(equality)],[82612,320]),
[iquote('0:Rew:82612.0,320.0')] ).
cnf(82618,plain,
equal(product(a26,a49),a25),
inference(rew,[status(thm),theory(equality)],[82612,321]),
[iquote('0:Rew:82612.0,321.0')] ).
cnf(82906,plain,
equal(product(a131,a49),a133),
inference(rew,[status(thm),theory(equality)],[82612,80320]),
[iquote('0:Rew:82612.0,80320.0')] ).
cnf(82907,plain,
equal(product(a133,a49),a131),
inference(rew,[status(thm),theory(equality)],[82612,80322]),
[iquote('0:Rew:82612.0,80322.0')] ).
cnf(82910,plain,
equal(product(a139,a139),a47),
inference(rew,[status(thm),theory(equality)],[82613,1544]),
[iquote('0:Rew:82613.0,1544.0')] ).
cnf(82978,plain,
equal(a24,a26),
inference(rew,[status(thm),theory(equality)],[422,82615]),
[iquote('0:Rew:422.0,82615.0')] ).
cnf(82980,plain,
equal(product(a23,a35),a26),
inference(rew,[status(thm),theory(equality)],[82978,26]),
[iquote('0:Rew:82978.0,26.0')] ).
cnf(83107,plain,
equal(a48,a49),
inference(rew,[status(thm),theory(equality)],[1,82617]),
[iquote('0:Rew:1.0,82617.0')] ).
cnf(83234,plain,
equal(a47,a139),
inference(rew,[status(thm),theory(equality)],[1,82910]),
[iquote('0:Rew:1.0,82910.0')] ).
cnf(83235,plain,
equal(product(a139,a139),a140),
inference(rew,[status(thm),theory(equality)],[83234,142]),
[iquote('0:Rew:83234.0,142.0')] ).
cnf(83237,plain,
equal(product(a36,a139),a37),
inference(rew,[status(thm),theory(equality)],[83234,39]),
[iquote('0:Rew:83234.0,39.0')] ).
cnf(83238,plain,
equal(product(a139,a11),a46),
inference(rew,[status(thm),theory(equality)],[83234,294]),
[iquote('0:Rew:83234.0,294.0')] ).
cnf(83240,plain,
equal(product(a37,a139),a36),
inference(rew,[status(thm),theory(equality)],[83234,296]),
[iquote('0:Rew:83234.0,296.0')] ).
cnf(83528,plain,
equal(a140,a139),
inference(rew,[status(thm),theory(equality)],[1,83235]),
[iquote('0:Rew:1.0,83235.0')] ).
cnf(83529,plain,
equal(product(a139,a11),a141),
inference(rew,[status(thm),theory(equality)],[83528,143]),
[iquote('0:Rew:83528.0,143.0')] ).
cnf(83628,plain,
equal(a35,a37),
inference(rew,[status(thm),theory(equality)],[419,83237]),
[iquote('0:Rew:419.0,83237.0')] ).
cnf(83630,plain,
equal(product(a20,a37),a21),
inference(rew,[status(thm),theory(equality)],[83628,23]),
[iquote('0:Rew:83628.0,23.0')] ).
cnf(83632,plain,
equal(product(a21,a37),a20),
inference(rew,[status(thm),theory(equality)],[83628,424]),
[iquote('0:Rew:83628.0,424.0')] ).
cnf(83757,plain,
equal(a33,a37),
inference(rew,[status(thm),theory(equality)],[83628,78934]),
[iquote('0:Rew:83628.0,78934.0')] ).
cnf(83758,plain,
equal(product(a37,a131),a34),
inference(rew,[status(thm),theory(equality)],[83628,78561]),
[iquote('0:Rew:83628.0,78561.0')] ).
cnf(83760,plain,
equal(product(a37,a13),a32),
inference(rew,[status(thm),theory(equality)],[83628,78937]),
[iquote('0:Rew:83628.0,78937.0')] ).
cnf(83763,plain,
equal(product(a78,a37),a70),
inference(rew,[status(thm),theory(equality)],[83628,79135]),
[iquote('0:Rew:83628.0,79135.0')] ).
cnf(83764,plain,
equal(product(a23,a37),a26),
inference(rew,[status(thm),theory(equality)],[83628,82980]),
[iquote('0:Rew:83628.0,82980.0')] ).
cnf(83766,plain,
equal(product(a141,a46),a46),
inference(rew,[status(thm),theory(equality)],[5942,83238]),
[iquote('0:Rew:5942.0,83238.0')] ).
cnf(83767,plain,
equal(product(a139,a11),a46),
inference(rew,[status(thm),theory(equality)],[83766,5942]),
[iquote('0:Rew:83766.0,5942.0')] ).
cnf(83788,plain,
equal(a46,a141),
inference(rew,[status(thm),theory(equality)],[83529,83767]),
[iquote('0:Rew:83529.0,83767.0')] ).
cnf(83790,plain,
equal(product(a141,a141),a45),
inference(rew,[status(thm),theory(equality)],[83788,412]),
[iquote('0:Rew:83788.0,412.0')] ).
cnf(83917,plain,
equal(a45,a141),
inference(rew,[status(thm),theory(equality)],[1,83790]),
[iquote('0:Rew:1.0,83790.0')] ).
cnf(83918,plain,
equal(product(a22,a141),a23),
inference(rew,[status(thm),theory(equality)],[83917,25]),
[iquote('0:Rew:83917.0,25.0')] ).
cnf(83953,plain,
equal(product(a42,a23),a141),
inference(rew,[status(thm),theory(equality)],[83917,78032]),
[iquote('0:Rew:83917.0,78032.0')] ).
cnf(83954,plain,
equal(product(a141,a23),a42),
inference(rew,[status(thm),theory(equality)],[83917,78033]),
[iquote('0:Rew:83917.0,78033.0')] ).
cnf(83956,plain,
equal(a23,a21),
inference(rew,[status(thm),theory(equality)],[413,83918]),
[iquote('0:Rew:413.0,83918.0')] ).
cnf(83957,plain,
equal(product(a141,a21),a1),
inference(rew,[status(thm),theory(equality)],[83956,144]),
[iquote('0:Rew:83956.0,144.0')] ).
cnf(83958,plain,
equal(product(a12,a21),a13),
inference(rew,[status(thm),theory(equality)],[83956,15]),
[iquote('0:Rew:83956.0,15.0')] ).
cnf(84146,plain,
equal(product(a21,a37),a26),
inference(rew,[status(thm),theory(equality)],[83956,83764]),
[iquote('0:Rew:83956.0,83764.0')] ).
cnf(84149,plain,
equal(product(a42,a21),a141),
inference(rew,[status(thm),theory(equality)],[83956,83953]),
[iquote('0:Rew:83956.0,83953.0')] ).
cnf(84150,plain,
equal(product(a141,a21),a42),
inference(rew,[status(thm),theory(equality)],[83956,83954]),
[iquote('0:Rew:83956.0,83954.0')] ).
cnf(84158,plain,
equal(a42,a1),
inference(rew,[status(thm),theory(equality)],[84150,83957]),
[iquote('0:Rew:84150.0,83957.0')] ).
cnf(84159,plain,
equal(product(a1,a62),a43),
inference(rew,[status(thm),theory(equality)],[84158,45]),
[iquote('0:Rew:84158.0,45.0')] ).
cnf(84161,plain,
equal(product(a1,a1),a2),
inference(rew,[status(thm),theory(equality)],[84158,4]),
[iquote('0:Rew:84158.0,4.0')] ).
cnf(84163,plain,
equal(product(a1,a2),a41),
inference(rew,[status(thm),theory(equality)],[84158,345]),
[iquote('0:Rew:84158.0,345.0')] ).
cnf(84388,plain,
equal(a44,a1),
inference(rew,[status(thm),theory(equality)],[84158,78031]),
[iquote('0:Rew:84158.0,78031.0')] ).
cnf(84389,plain,
equal(product(a62,a1),a97),
inference(rew,[status(thm),theory(equality)],[84158,77761]),
[iquote('0:Rew:84158.0,77761.0')] ).
cnf(84390,plain,
equal(product(a1,a21),a141),
inference(rew,[status(thm),theory(equality)],[84158,84149]),
[iquote('0:Rew:84158.0,84149.0')] ).
cnf(84392,plain,
equal(a13,a11),
inference(rew,[status(thm),theory(equality)],[428,83958]),
[iquote('0:Rew:428.0,83958.0')] ).
cnf(84394,plain,
equal(product(a11,a32),a14),
inference(rew,[status(thm),theory(equality)],[84392,16]),
[iquote('0:Rew:84392.0,16.0')] ).
cnf(84395,plain,
equal(product(a70,a11),a69),
inference(rew,[status(thm),theory(equality)],[84392,326]),
[iquote('0:Rew:84392.0,326.0')] ).
cnf(84542,plain,
equal(product(a66,a11),a78),
inference(rew,[status(thm),theory(equality)],[84392,73218]),
[iquote('0:Rew:84392.0,73218.0')] ).
cnf(84543,plain,
equal(product(a131,a11),a61),
inference(rew,[status(thm),theory(equality)],[84392,78376]),
[iquote('0:Rew:84392.0,78376.0')] ).
cnf(84544,plain,
equal(product(a61,a11),a131),
inference(rew,[status(thm),theory(equality)],[84392,78559]),
[iquote('0:Rew:84392.0,78559.0')] ).
cnf(84546,plain,
equal(product(a37,a11),a32),
inference(rew,[status(thm),theory(equality)],[84392,83760]),
[iquote('0:Rew:84392.0,83760.0')] ).
cnf(84548,plain,
equal(a26,a20),
inference(rew,[status(thm),theory(equality)],[83632,84146]),
[iquote('0:Rew:83632.0,84146.0')] ).
cnf(84549,plain,
equal(product(a20,a8),a27),
inference(rew,[status(thm),theory(equality)],[84548,29]),
[iquote('0:Rew:84548.0,29.0')] ).
cnf(84550,plain,
equal(product(a27,a8),a20),
inference(rew,[status(thm),theory(equality)],[84548,421]),
[iquote('0:Rew:84548.0,421.0')] ).
cnf(84617,plain,
equal(product(a20,a20),a17),
inference(rew,[status(thm),theory(equality)],[84548,80325]),
[iquote('0:Rew:84548.0,80325.0')] ).
cnf(84618,plain,
equal(product(a56,a20),a133),
inference(rew,[status(thm),theory(equality)],[84548,81239]),
[iquote('0:Rew:84548.0,81239.0')] ).
cnf(84620,plain,
equal(a24,a20),
inference(rew,[status(thm),theory(equality)],[84548,82978]),
[iquote('0:Rew:84548.0,82978.0')] ).
cnf(84621,plain,
equal(product(a20,a49),a25),
inference(rew,[status(thm),theory(equality)],[84548,82618]),
[iquote('0:Rew:84548.0,82618.0')] ).
cnf(84632,plain,
equal(a1,a2),
inference(rew,[status(thm),theory(equality)],[1,84161]),
[iquote('0:Rew:1.0,84161.0')] ).
cnf(84633,plain,
equal(product(a61,a2),a62),
inference(rew,[status(thm),theory(equality)],[84632,64]),
[iquote('0:Rew:84632.0,64.0')] ).
cnf(84634,plain,
equal(product(a62,a2),a61),
inference(rew,[status(thm),theory(equality)],[84632,331]),
[iquote('0:Rew:84632.0,331.0')] ).
cnf(84637,plain,
equal(product(a2,a2),a3),
inference(rew,[status(thm),theory(equality)],[84632,2892]),
[iquote('0:Rew:84632.0,2892.0')] ).
cnf(84743,plain,
equal(product(a97,a2),a66),
inference(rew,[status(thm),theory(equality)],[84632,73220]),
[iquote('0:Rew:84632.0,73220.0')] ).
cnf(84744,plain,
equal(product(a66,a2),a97),
inference(rew,[status(thm),theory(equality)],[84632,73221]),
[iquote('0:Rew:84632.0,73221.0')] ).
cnf(84745,plain,
equal(a42,a2),
inference(rew,[status(thm),theory(equality)],[84632,84158]),
[iquote('0:Rew:84632.0,84158.0')] ).
cnf(84746,plain,
equal(a44,a2),
inference(rew,[status(thm),theory(equality)],[84632,84388]),
[iquote('0:Rew:84632.0,84388.0')] ).
cnf(84748,plain,
equal(product(a2,a62),a43),
inference(rew,[status(thm),theory(equality)],[84632,84159]),
[iquote('0:Rew:84632.0,84159.0')] ).
cnf(84751,plain,
equal(product(a2,a2),a41),
inference(rew,[status(thm),theory(equality)],[84632,84163]),
[iquote('0:Rew:84632.0,84163.0')] ).
cnf(84752,plain,
equal(a41,a2),
inference(rew,[status(thm),theory(equality)],[1,84751]),
[iquote('0:Rew:1.0,84751.0')] ).
cnf(84756,plain,
equal(product(a2,a14),a40),
inference(rew,[status(thm),theory(equality)],[84752,364]),
[iquote('0:Rew:84752.0,364.0')] ).
cnf(84843,plain,
equal(product(a66,a2),a89),
inference(rew,[status(thm),theory(equality)],[84752,72886]),
[iquote('0:Rew:84752.0,72886.0')] ).
cnf(84844,plain,
equal(product(a62,a2),a65),
inference(rew,[status(thm),theory(equality)],[84752,77758]),
[iquote('0:Rew:84752.0,77758.0')] ).
cnf(84848,plain,
equal(product(a62,a2),a97),
inference(rew,[status(thm),theory(equality)],[84632,84389]),
[iquote('0:Rew:84632.0,84389.0')] ).
cnf(84849,plain,
equal(product(a2,a21),a141),
inference(rew,[status(thm),theory(equality)],[84632,84390]),
[iquote('0:Rew:84632.0,84390.0')] ).
cnf(84851,plain,
equal(a20,a17),
inference(rew,[status(thm),theory(equality)],[1,84617]),
[iquote('0:Rew:1.0,84617.0')] ).
cnf(84852,plain,
equal(product(a49,a17),a139),
inference(rew,[status(thm),theory(equality)],[84851,82613]),
[iquote('0:Rew:84851.0,82613.0')] ).
cnf(84854,plain,
equal(product(a17,a37),a21),
inference(rew,[status(thm),theory(equality)],[84851,83630]),
[iquote('0:Rew:84851.0,83630.0')] ).
cnf(84856,plain,
equal(a26,a17),
inference(rew,[status(thm),theory(equality)],[84851,84548]),
[iquote('0:Rew:84851.0,84548.0')] ).
cnf(84857,plain,
equal(a24,a17),
inference(rew,[status(thm),theory(equality)],[84851,84620]),
[iquote('0:Rew:84851.0,84620.0')] ).
cnf(84858,plain,
equal(product(a17,a8),a27),
inference(rew,[status(thm),theory(equality)],[84851,84549]),
[iquote('0:Rew:84851.0,84549.0')] ).
cnf(84859,plain,
equal(product(a27,a8),a17),
inference(rew,[status(thm),theory(equality)],[84851,84550]),
[iquote('0:Rew:84851.0,84550.0')] ).
cnf(84861,plain,
equal(product(a56,a17),a133),
inference(rew,[status(thm),theory(equality)],[84851,84618]),
[iquote('0:Rew:84851.0,84618.0')] ).
cnf(84870,plain,
equal(product(a17,a49),a25),
inference(rew,[status(thm),theory(equality)],[84851,84621]),
[iquote('0:Rew:84851.0,84621.0')] ).
cnf(84872,plain,
equal(a97,a61),
inference(rew,[status(thm),theory(equality)],[84848,84634]),
[iquote('0:Rew:84848.0,84634.0')] ).
cnf(84875,plain,
equal(a3,a2),
inference(rew,[status(thm),theory(equality)],[1,84637]),
[iquote('0:Rew:1.0,84637.0')] ).
cnf(84876,plain,
equal(product(a2,a14),a4),
inference(rew,[status(thm),theory(equality)],[84875,6]),
[iquote('0:Rew:84875.0,6.0')] ).
cnf(84877,plain,
equal(product(a4,a14),a2),
inference(rew,[status(thm),theory(equality)],[84875,366]),
[iquote('0:Rew:84875.0,366.0')] ).
cnf(84984,plain,
equal(a66,a62),
inference(rew,[status(thm),theory(equality)],[84633,84743,84872]),
[iquote('0:Rew:84633.0,84743.0,84872.0,84743.0')] ).
cnf(85027,plain,
equal(a92,a62),
inference(rew,[status(thm),theory(equality)],[84984,72579]),
[iquote('0:Rew:84984.0,72579.0')] ).
cnf(85028,plain,
equal(a114,a62),
inference(rew,[status(thm),theory(equality)],[84984,72735]),
[iquote('0:Rew:84984.0,72735.0')] ).
cnf(85029,plain,
equal(a121,a62),
inference(rew,[status(thm),theory(equality)],[84984,72736]),
[iquote('0:Rew:84984.0,72736.0')] ).
cnf(85030,plain,
equal(a99,a62),
inference(rew,[status(thm),theory(equality)],[84984,72737]),
[iquote('0:Rew:84984.0,72737.0')] ).
cnf(85031,plain,
equal(a100,a62),
inference(rew,[status(thm),theory(equality)],[84984,72738]),
[iquote('0:Rew:84984.0,72738.0')] ).
cnf(85032,plain,
equal(a124,a62),
inference(rew,[status(thm),theory(equality)],[84984,72739]),
[iquote('0:Rew:84984.0,72739.0')] ).
cnf(85033,plain,
equal(a115,a62),
inference(rew,[status(thm),theory(equality)],[84984,72740]),
[iquote('0:Rew:84984.0,72740.0')] ).
cnf(85035,plain,
equal(a123,a62),
inference(rew,[status(thm),theory(equality)],[84984,72742]),
[iquote('0:Rew:84984.0,72742.0')] ).
cnf(85036,plain,
equal(a91,a62),
inference(rew,[status(thm),theory(equality)],[84984,72743]),
[iquote('0:Rew:84984.0,72743.0')] ).
cnf(85037,plain,
equal(a68,a62),
inference(rew,[status(thm),theory(equality)],[84984,72744]),
[iquote('0:Rew:84984.0,72744.0')] ).
cnf(85038,plain,
equal(a75,a62),
inference(rew,[status(thm),theory(equality)],[84984,72745]),
[iquote('0:Rew:84984.0,72745.0')] ).
cnf(85039,plain,
equal(a76,a62),
inference(rew,[status(thm),theory(equality)],[84984,72746]),
[iquote('0:Rew:84984.0,72746.0')] ).
cnf(85040,plain,
equal(a77,a62),
inference(rew,[status(thm),theory(equality)],[84984,72749]),
[iquote('0:Rew:84984.0,72749.0')] ).
cnf(85041,plain,
equal(a90,a62),
inference(rew,[status(thm),theory(equality)],[84984,72750]),
[iquote('0:Rew:84984.0,72750.0')] ).
cnf(85042,plain,
equal(a98,a62),
inference(rew,[status(thm),theory(equality)],[84984,72751]),
[iquote('0:Rew:84984.0,72751.0')] ).
cnf(85043,plain,
equal(a67,a62),
inference(rew,[status(thm),theory(equality)],[84984,72755]),
[iquote('0:Rew:84984.0,72755.0')] ).
cnf(85046,plain,
equal(product(a69,a32),a62),
inference(rew,[status(thm),theory(equality)],[84984,73088]),
[iquote('0:Rew:84984.0,73088.0')] ).
cnf(85047,plain,
equal(product(a62,a14),a74),
inference(rew,[status(thm),theory(equality)],[84984,75201]),
[iquote('0:Rew:84984.0,75201.0')] ).
cnf(85049,plain,
equal(product(a62,a11),a78),
inference(rew,[status(thm),theory(equality)],[84984,84542]),
[iquote('0:Rew:84984.0,84542.0')] ).
cnf(85050,plain,
equal(product(a62,a2),a61),
inference(rew,[status(thm),theory(equality)],[84984,84744,84872]),
[iquote('0:Rew:84984.0,84744.0,84872.0,84744.0')] ).
cnf(85098,plain,
equal(a89,a61),
inference(rew,[status(thm),theory(equality)],[85050,84843,84984]),
[iquote('0:Rew:85050.0,84843.0,84984.0,84843.0')] ).
cnf(85099,plain,
equal(product(a88,a14),a61),
inference(rew,[status(thm),theory(equality)],[85098,91]),
[iquote('0:Rew:85098.0,91.0')] ).
cnf(85100,plain,
equal(product(a61,a14),a88),
inference(rew,[status(thm),theory(equality)],[85098,362]),
[iquote('0:Rew:85098.0,362.0')] ).
cnf(85142,plain,
equal(a65,a61),
inference(rew,[status(thm),theory(equality)],[85050,84844]),
[iquote('0:Rew:85050.0,84844.0')] ).
cnf(85143,plain,
equal(a125,a61),
inference(rew,[status(thm),theory(equality)],[85142,72767]),
[iquote('0:Rew:85142.0,72767.0')] ).
cnf(85144,plain,
equal(a93,a61),
inference(rew,[status(thm),theory(equality)],[85142,74853]),
[iquote('0:Rew:85142.0,74853.0')] ).
cnf(85145,plain,
equal(a126,a61),
inference(rew,[status(thm),theory(equality)],[85142,75091]),
[iquote('0:Rew:85142.0,75091.0')] ).
cnf(85164,plain,
equal(a40,a4),
inference(rew,[status(thm),theory(equality)],[84756,84876]),
[iquote('0:Rew:84756.0,84876.0')] ).
cnf(85166,plain,
equal(product(a4,a4),a39),
inference(rew,[status(thm),theory(equality)],[85164,384]),
[iquote('0:Rew:85164.0,384.0')] ).
cnf(85245,plain,
equal(product(a74,a4),a88),
inference(rew,[status(thm),theory(equality)],[85164,78552]),
[iquote('0:Rew:85164.0,78552.0')] ).
cnf(85246,plain,
equal(product(a88,a4),a74),
inference(rew,[status(thm),theory(equality)],[85164,78553]),
[iquote('0:Rew:85164.0,78553.0')] ).
cnf(85247,plain,
equal(product(a4,a39),a38),
inference(rew,[status(thm),theory(equality)],[85164,82554]),
[iquote('0:Rew:85164.0,82554.0')] ).
cnf(85255,plain,
equal(a39,a4),
inference(rew,[status(thm),theory(equality)],[1,85166]),
[iquote('0:Rew:1.0,85166.0')] ).
cnf(85256,plain,
equal(product(a31,a4),a32),
inference(rew,[status(thm),theory(equality)],[85255,34]),
[iquote('0:Rew:85255.0,34.0')] ).
cnf(85257,plain,
equal(product(a4,a4),a5),
inference(rew,[status(thm),theory(equality)],[85255,7]),
[iquote('0:Rew:85255.0,7.0')] ).
cnf(85258,plain,
equal(product(a32,a4),a31),
inference(rew,[status(thm),theory(equality)],[85255,304]),
[iquote('0:Rew:85255.0,304.0')] ).
cnf(85377,plain,
equal(product(a70,a4),a84),
inference(rew,[status(thm),theory(equality)],[85255,76420]),
[iquote('0:Rew:85255.0,76420.0')] ).
cnf(85378,plain,
equal(product(a84,a4),a70),
inference(rew,[status(thm),theory(equality)],[85255,76421]),
[iquote('0:Rew:85255.0,76421.0')] ).
cnf(85379,plain,
equal(product(a49,a4),a136),
inference(rew,[status(thm),theory(equality)],[85255,82062]),
[iquote('0:Rew:85255.0,82062.0')] ).
cnf(85382,plain,
equal(product(a136,a4),a49),
inference(rew,[status(thm),theory(equality)],[85255,82407]),
[iquote('0:Rew:85255.0,82407.0')] ).
cnf(85384,plain,
equal(a86,a74),
inference(rew,[status(thm),theory(equality)],[78235,85246]),
[iquote('0:Rew:78235.0,85246.0')] ).
cnf(85447,plain,
equal(a104,a74),
inference(rew,[status(thm),theory(equality)],[85384,77763]),
[iquote('0:Rew:85384.0,77763.0')] ).
cnf(85448,plain,
equal(a87,a74),
inference(rew,[status(thm),theory(equality)],[85384,78233]),
[iquote('0:Rew:85384.0,78233.0')] ).
cnf(85449,plain,
equal(a103,a74),
inference(rew,[status(thm),theory(equality)],[85384,78317]),
[iquote('0:Rew:85384.0,78317.0')] ).
cnf(85451,plain,
equal(product(a88,a4),a74),
inference(rew,[status(thm),theory(equality)],[85384,78235]),
[iquote('0:Rew:85384.0,78235.0')] ).
cnf(85452,plain,
equal(product(a4,a4),a38),
inference(rew,[status(thm),theory(equality)],[85255,85247]),
[iquote('0:Rew:85255.0,85247.0')] ).
cnf(85453,plain,
equal(a38,a4),
inference(rew,[status(thm),theory(equality)],[1,85452]),
[iquote('0:Rew:1.0,85452.0')] ).
cnf(85455,plain,
equal(product(a4,a17),a37),
inference(rew,[status(thm),theory(equality)],[85453,416]),
[iquote('0:Rew:85453.0,416.0')] ).
cnf(85514,plain,
equal(a5,a4),
inference(rew,[status(thm),theory(equality)],[1,85257]),
[iquote('0:Rew:1.0,85257.0')] ).
cnf(85515,plain,
equal(product(a84,a4),a85),
inference(rew,[status(thm),theory(equality)],[85514,87]),
[iquote('0:Rew:85514.0,87.0')] ).
cnf(85517,plain,
equal(product(a4,a136),a6),
inference(rew,[status(thm),theory(equality)],[85514,8]),
[iquote('0:Rew:85514.0,8.0')] ).
cnf(85519,plain,
equal(product(a31,a4),a30),
inference(rew,[status(thm),theory(equality)],[85514,378]),
[iquote('0:Rew:85514.0,378.0')] ).
cnf(85655,plain,
equal(a7,a4),
inference(rew,[status(thm),theory(equality)],[85514,82230]),
[iquote('0:Rew:85514.0,82230.0')] ).
cnf(85656,plain,
equal(product(a4,a17),a8),
inference(rew,[status(thm),theory(equality)],[85514,82232]),
[iquote('0:Rew:85514.0,82232.0')] ).
cnf(85657,plain,
equal(product(a8,a17),a4),
inference(rew,[status(thm),theory(equality)],[85514,82234]),
[iquote('0:Rew:85514.0,82234.0')] ).
cnf(85663,plain,
equal(a85,a70),
inference(rew,[status(thm),theory(equality)],[85378,85515]),
[iquote('0:Rew:85378.0,85515.0')] ).
cnf(85664,plain,
equal(a105,a70),
inference(rew,[status(thm),theory(equality)],[85663,77520]),
[iquote('0:Rew:85663.0,77520.0')] ).
cnf(85669,plain,
equal(a30,a32),
inference(rew,[status(thm),theory(equality)],[85256,85519]),
[iquote('0:Rew:85256.0,85519.0')] ).
cnf(85671,plain,
equal(product(a32,a14),a29),
inference(rew,[status(thm),theory(equality)],[85669,365]),
[iquote('0:Rew:85669.0,365.0')] ).
cnf(85712,plain,
equal(a37,a8),
inference(rew,[status(thm),theory(equality)],[85455,85656]),
[iquote('0:Rew:85455.0,85656.0')] ).
cnf(85713,plain,
equal(product(a27,a8),a28),
inference(rew,[status(thm),theory(equality)],[85712,30]),
[iquote('0:Rew:85712.0,30.0')] ).
cnf(85782,plain,
equal(product(a54,a8),a56),
inference(rew,[status(thm),theory(equality)],[85712,81238]),
[iquote('0:Rew:85712.0,81238.0')] ).
cnf(85783,plain,
equal(product(a8,a8),a11),
inference(rew,[status(thm),theory(equality)],[85712,81241]),
[iquote('0:Rew:85712.0,81241.0')] ).
cnf(85785,plain,
equal(product(a56,a8),a54),
inference(rew,[status(thm),theory(equality)],[85712,81602]),
[iquote('0:Rew:85712.0,81602.0')] ).
cnf(85786,plain,
equal(a35,a8),
inference(rew,[status(thm),theory(equality)],[85712,83628]),
[iquote('0:Rew:85712.0,83628.0')] ).
cnf(85787,plain,
equal(a33,a8),
inference(rew,[status(thm),theory(equality)],[85712,83757]),
[iquote('0:Rew:85712.0,83757.0')] ).
cnf(85788,plain,
equal(product(a8,a139),a36),
inference(rew,[status(thm),theory(equality)],[85712,83240]),
[iquote('0:Rew:85712.0,83240.0')] ).
cnf(85790,plain,
equal(product(a8,a131),a34),
inference(rew,[status(thm),theory(equality)],[85712,83758]),
[iquote('0:Rew:85712.0,83758.0')] ).
cnf(85793,plain,
equal(product(a78,a8),a70),
inference(rew,[status(thm),theory(equality)],[85712,83763]),
[iquote('0:Rew:85712.0,83763.0')] ).
cnf(85795,plain,
equal(product(a8,a11),a32),
inference(rew,[status(thm),theory(equality)],[85712,84546]),
[iquote('0:Rew:85712.0,84546.0')] ).
cnf(85796,plain,
equal(product(a17,a8),a21),
inference(rew,[status(thm),theory(equality)],[85712,84854]),
[iquote('0:Rew:85712.0,84854.0')] ).
cnf(85807,plain,
equal(a28,a17),
inference(rew,[status(thm),theory(equality)],[84859,85713]),
[iquote('0:Rew:84859.0,85713.0')] ).
cnf(85808,plain,
equal(product(a17,a17),a29),
inference(rew,[status(thm),theory(equality)],[85807,31]),
[iquote('0:Rew:85807.0,31.0')] ).
cnf(85851,plain,
equal(a11,a8),
inference(rew,[status(thm),theory(equality)],[1,85783]),
[iquote('0:Rew:1.0,85783.0')] ).
cnf(85852,plain,
equal(product(a8,a21),a12),
inference(rew,[status(thm),theory(equality)],[85851,14]),
[iquote('0:Rew:85851.0,14.0')] ).
cnf(85898,plain,
equal(product(a139,a8),a141),
inference(rew,[status(thm),theory(equality)],[85851,83529]),
[iquote('0:Rew:85851.0,83529.0')] ).
cnf(85900,plain,
equal(a13,a8),
inference(rew,[status(thm),theory(equality)],[85851,84392]),
[iquote('0:Rew:85851.0,84392.0')] ).
cnf(85902,plain,
equal(product(a8,a32),a14),
inference(rew,[status(thm),theory(equality)],[85851,84394]),
[iquote('0:Rew:85851.0,84394.0')] ).
cnf(85903,plain,
equal(product(a70,a8),a69),
inference(rew,[status(thm),theory(equality)],[85851,84395]),
[iquote('0:Rew:85851.0,84395.0')] ).
cnf(85905,plain,
equal(product(a131,a8),a61),
inference(rew,[status(thm),theory(equality)],[85851,84543]),
[iquote('0:Rew:85851.0,84543.0')] ).
cnf(85906,plain,
equal(product(a61,a8),a131),
inference(rew,[status(thm),theory(equality)],[85851,84544]),
[iquote('0:Rew:85851.0,84544.0')] ).
cnf(85908,plain,
equal(product(a62,a8),a78),
inference(rew,[status(thm),theory(equality)],[85851,85049]),
[iquote('0:Rew:85851.0,85049.0')] ).
cnf(85918,plain,
equal(product(a8,a8),a32),
inference(rew,[status(thm),theory(equality)],[85851,85795]),
[iquote('0:Rew:85851.0,85795.0')] ).
cnf(85919,plain,
equal(a32,a8),
inference(rew,[status(thm),theory(equality)],[1,85918]),
[iquote('0:Rew:1.0,85918.0')] ).
cnf(85922,plain,
equal(product(a70,a8),a74),
inference(rew,[status(thm),theory(equality)],[85919,74035]),
[iquote('0:Rew:85919.0,74035.0')] ).
cnf(85923,plain,
equal(product(a74,a8),a70),
inference(rew,[status(thm),theory(equality)],[85919,74037]),
[iquote('0:Rew:85919.0,74037.0')] ).
cnf(85925,plain,
equal(product(a69,a8),a62),
inference(rew,[status(thm),theory(equality)],[85919,85046]),
[iquote('0:Rew:85919.0,85046.0')] ).
cnf(85927,plain,
equal(product(a8,a4),a31),
inference(rew,[status(thm),theory(equality)],[85919,85258]),
[iquote('0:Rew:85919.0,85258.0')] ).
cnf(85928,plain,
equal(a30,a8),
inference(rew,[status(thm),theory(equality)],[85919,85669]),
[iquote('0:Rew:85919.0,85669.0')] ).
cnf(85930,plain,
equal(product(a8,a14),a29),
inference(rew,[status(thm),theory(equality)],[85919,85671]),
[iquote('0:Rew:85919.0,85671.0')] ).
cnf(85932,plain,
equal(a27,a21),
inference(rew,[status(thm),theory(equality)],[84858,85796]),
[iquote('0:Rew:84858.0,85796.0')] ).
cnf(85933,plain,
equal(product(a17,a8),a21),
inference(rew,[status(thm),theory(equality)],[85932,84858]),
[iquote('0:Rew:85932.0,84858.0')] ).
cnf(85935,plain,
equal(a29,a17),
inference(rew,[status(thm),theory(equality)],[1,85808]),
[iquote('0:Rew:1.0,85808.0')] ).
cnf(85936,plain,
equal(product(a54,a17),a136),
inference(rew,[status(thm),theory(equality)],[85935,81403]),
[iquote('0:Rew:85935.0,81403.0')] ).
cnf(85937,plain,
equal(product(a136,a17),a54),
inference(rew,[status(thm),theory(equality)],[85935,81404]),
[iquote('0:Rew:85935.0,81404.0')] ).
cnf(85941,plain,
equal(product(a8,a8),a14),
inference(rew,[status(thm),theory(equality)],[85919,85902]),
[iquote('0:Rew:85919.0,85902.0')] ).
cnf(85942,plain,
equal(a8,a14),
inference(rew,[status(thm),theory(equality)],[1,85941]),
[iquote('0:Rew:1.0,85941.0')] ).
cnf(85943,plain,
equal(product(a14,a56),a9),
inference(rew,[status(thm),theory(equality)],[85942,11]),
[iquote('0:Rew:85942.0,11.0')] ).
cnf(85982,plain,
equal(a10,a14),
inference(rew,[status(thm),theory(equality)],[85942,81240]),
[iquote('0:Rew:85942.0,81240.0')] ).
cnf(85983,plain,
equal(a37,a14),
inference(rew,[status(thm),theory(equality)],[85942,85712]),
[iquote('0:Rew:85942.0,85712.0')] ).
cnf(85984,plain,
equal(a35,a14),
inference(rew,[status(thm),theory(equality)],[85942,85786]),
[iquote('0:Rew:85942.0,85786.0')] ).
cnf(85985,plain,
equal(a33,a14),
inference(rew,[status(thm),theory(equality)],[85942,85787]),
[iquote('0:Rew:85942.0,85787.0')] ).
cnf(85986,plain,
equal(product(a14,a17),a4),
inference(rew,[status(thm),theory(equality)],[85942,85657]),
[iquote('0:Rew:85942.0,85657.0')] ).
cnf(85987,plain,
equal(product(a54,a14),a56),
inference(rew,[status(thm),theory(equality)],[85942,85782]),
[iquote('0:Rew:85942.0,85782.0')] ).
cnf(85988,plain,
equal(a11,a14),
inference(rew,[status(thm),theory(equality)],[85942,85851]),
[iquote('0:Rew:85942.0,85851.0')] ).
cnf(85989,plain,
equal(a13,a14),
inference(rew,[status(thm),theory(equality)],[85942,85900]),
[iquote('0:Rew:85942.0,85900.0')] ).
cnf(85990,plain,
equal(product(a56,a14),a54),
inference(rew,[status(thm),theory(equality)],[85942,85785]),
[iquote('0:Rew:85942.0,85785.0')] ).
cnf(85991,plain,
equal(product(a14,a139),a36),
inference(rew,[status(thm),theory(equality)],[85942,85788]),
[iquote('0:Rew:85942.0,85788.0')] ).
cnf(85993,plain,
equal(product(a14,a131),a34),
inference(rew,[status(thm),theory(equality)],[85942,85790]),
[iquote('0:Rew:85942.0,85790.0')] ).
cnf(85996,plain,
equal(product(a78,a14),a70),
inference(rew,[status(thm),theory(equality)],[85942,85793]),
[iquote('0:Rew:85942.0,85793.0')] ).
cnf(85997,plain,
equal(a32,a14),
inference(rew,[status(thm),theory(equality)],[85942,85919]),
[iquote('0:Rew:85942.0,85919.0')] ).
cnf(85998,plain,
equal(a30,a14),
inference(rew,[status(thm),theory(equality)],[85942,85928]),
[iquote('0:Rew:85942.0,85928.0')] ).
cnf(86001,plain,
equal(product(a14,a21),a12),
inference(rew,[status(thm),theory(equality)],[85942,85852]),
[iquote('0:Rew:85942.0,85852.0')] ).
cnf(86003,plain,
equal(product(a139,a14),a141),
inference(rew,[status(thm),theory(equality)],[85942,85898]),
[iquote('0:Rew:85942.0,85898.0')] ).
cnf(86006,plain,
equal(product(a70,a14),a69),
inference(rew,[status(thm),theory(equality)],[85942,85903]),
[iquote('0:Rew:85942.0,85903.0')] ).
cnf(86008,plain,
equal(product(a131,a14),a61),
inference(rew,[status(thm),theory(equality)],[85942,85905]),
[iquote('0:Rew:85942.0,85905.0')] ).
cnf(86009,plain,
equal(a88,a131),
inference(rew,[status(thm),theory(equality)],[85100,85906,85942]),
[iquote('0:Rew:85100.0,85906.0,85942.0,85906.0')] ).
cnf(86010,plain,
equal(a102,a131),
inference(rew,[status(thm),theory(equality)],[86009,78549]),
[iquote('0:Rew:86009.0,78549.0')] ).
cnf(86011,plain,
equal(product(a131,a14),a61),
inference(rew,[status(thm),theory(equality)],[86009,85099]),
[iquote('0:Rew:86009.0,85099.0')] ).
cnf(86013,plain,
equal(product(a74,a4),a131),
inference(rew,[status(thm),theory(equality)],[86009,85245]),
[iquote('0:Rew:86009.0,85245.0')] ).
cnf(86014,plain,
equal(product(a131,a4),a74),
inference(rew,[status(thm),theory(equality)],[86009,85451]),
[iquote('0:Rew:86009.0,85451.0')] ).
cnf(86016,plain,
equal(a78,a74),
inference(rew,[status(thm),theory(equality)],[85047,85908,85942]),
[iquote('0:Rew:85047.0,85908.0,85942.0,85908.0')] ).
cnf(86017,plain,
equal(a113,a74),
inference(rew,[status(thm),theory(equality)],[86016,73091]),
[iquote('0:Rew:86016.0,73091.0')] ).
cnf(86019,plain,
equal(a74,a69),
inference(rew,[status(thm),theory(equality)],[86006,85922,85942]),
[iquote('0:Rew:86006.0,85922.0,85942.0,85922.0')] ).
cnf(86020,plain,
equal(a101,a69),
inference(rew,[status(thm),theory(equality)],[86019,72906]),
[iquote('0:Rew:86019.0,72906.0')] ).
cnf(86021,plain,
equal(a116,a69),
inference(rew,[status(thm),theory(equality)],[86019,75179]),
[iquote('0:Rew:86019.0,75179.0')] ).
cnf(86022,plain,
equal(a117,a69),
inference(rew,[status(thm),theory(equality)],[86019,75196]),
[iquote('0:Rew:86019.0,75196.0')] ).
cnf(86025,plain,
equal(a86,a69),
inference(rew,[status(thm),theory(equality)],[86019,85384]),
[iquote('0:Rew:86019.0,85384.0')] ).
cnf(86026,plain,
equal(a104,a69),
inference(rew,[status(thm),theory(equality)],[86019,85447]),
[iquote('0:Rew:86019.0,85447.0')] ).
cnf(86027,plain,
equal(a87,a69),
inference(rew,[status(thm),theory(equality)],[86019,85448]),
[iquote('0:Rew:86019.0,85448.0')] ).
cnf(86028,plain,
equal(a103,a69),
inference(rew,[status(thm),theory(equality)],[86019,85449]),
[iquote('0:Rew:86019.0,85449.0')] ).
cnf(86029,plain,
equal(a78,a69),
inference(rew,[status(thm),theory(equality)],[86019,86016]),
[iquote('0:Rew:86019.0,86016.0')] ).
cnf(86030,plain,
equal(a113,a69),
inference(rew,[status(thm),theory(equality)],[86019,86017]),
[iquote('0:Rew:86019.0,86017.0')] ).
cnf(86031,plain,
equal(product(a69,a14),a70),
inference(rew,[status(thm),theory(equality)],[86019,85923,85942]),
[iquote('0:Rew:86019.0,85923.0,85942.0,85923.0')] ).
cnf(86033,plain,
equal(a70,a62),
inference(rew,[status(thm),theory(equality)],[86031,85925,85942]),
[iquote('0:Rew:86031.0,85925.0,85942.0,85925.0')] ).
cnf(86036,plain,
equal(a73,a62),
inference(rew,[status(thm),theory(equality)],[86033,74034]),
[iquote('0:Rew:86033.0,74034.0')] ).
cnf(86037,plain,
equal(a72,a62),
inference(rew,[status(thm),theory(equality)],[86033,76141]),
[iquote('0:Rew:86033.0,76141.0')] ).
cnf(86038,plain,
equal(a71,a62),
inference(rew,[status(thm),theory(equality)],[86033,76340]),
[iquote('0:Rew:86033.0,76340.0')] ).
cnf(86039,plain,
equal(a82,a62),
inference(rew,[status(thm),theory(equality)],[86033,76404]),
[iquote('0:Rew:86033.0,76404.0')] ).
cnf(86040,plain,
equal(a79,a62),
inference(rew,[status(thm),theory(equality)],[86033,76405]),
[iquote('0:Rew:86033.0,76405.0')] ).
cnf(86041,plain,
equal(a112,a62),
inference(rew,[status(thm),theory(equality)],[86033,76406]),
[iquote('0:Rew:86033.0,76406.0')] ).
cnf(86042,plain,
equal(a118,a62),
inference(rew,[status(thm),theory(equality)],[86033,76407]),
[iquote('0:Rew:86033.0,76407.0')] ).
cnf(86043,plain,
equal(a109,a62),
inference(rew,[status(thm),theory(equality)],[86033,76408]),
[iquote('0:Rew:86033.0,76408.0')] ).
cnf(86044,plain,
equal(a108,a62),
inference(rew,[status(thm),theory(equality)],[86033,76409]),
[iquote('0:Rew:86033.0,76409.0')] ).
cnf(86045,plain,
equal(a83,a62),
inference(rew,[status(thm),theory(equality)],[86033,76419]),
[iquote('0:Rew:86033.0,76419.0')] ).
cnf(86046,plain,
equal(a119,a62),
inference(rew,[status(thm),theory(equality)],[86033,76555]),
[iquote('0:Rew:86033.0,76555.0')] ).
cnf(86047,plain,
equal(a110,a62),
inference(rew,[status(thm),theory(equality)],[86033,76566]),
[iquote('0:Rew:86033.0,76566.0')] ).
cnf(86048,plain,
equal(a111,a62),
inference(rew,[status(thm),theory(equality)],[86033,76580]),
[iquote('0:Rew:86033.0,76580.0')] ).
cnf(86049,plain,
equal(product(a62,a4),a84),
inference(rew,[status(thm),theory(equality)],[86033,85377]),
[iquote('0:Rew:86033.0,85377.0')] ).
cnf(86051,plain,
equal(a85,a62),
inference(rew,[status(thm),theory(equality)],[86033,85663]),
[iquote('0:Rew:86033.0,85663.0')] ).
cnf(86052,plain,
equal(a105,a62),
inference(rew,[status(thm),theory(equality)],[86033,85664]),
[iquote('0:Rew:86033.0,85664.0')] ).
cnf(86056,plain,
equal(product(a14,a4),a31),
inference(rew,[status(thm),theory(equality)],[85942,85927]),
[iquote('0:Rew:85942.0,85927.0')] ).
cnf(86058,plain,
equal(product(a14,a14),a17),
inference(rew,[status(thm),theory(equality)],[85942,85930,85935]),
[iquote('0:Rew:85942.0,85930.0,85935.0,85930.0')] ).
cnf(86059,plain,
equal(a17,a14),
inference(rew,[status(thm),theory(equality)],[1,86058]),
[iquote('0:Rew:1.0,86058.0')] ).
cnf(86060,plain,
equal(product(a14,a133),a18),
inference(rew,[status(thm),theory(equality)],[86059,20]),
[iquote('0:Rew:86059.0,20.0')] ).
cnf(86099,plain,
equal(a19,a14),
inference(rew,[status(thm),theory(equality)],[86059,80323]),
[iquote('0:Rew:86059.0,80323.0')] ).
cnf(86100,plain,
equal(a20,a14),
inference(rew,[status(thm),theory(equality)],[86059,84851]),
[iquote('0:Rew:86059.0,84851.0')] ).
cnf(86101,plain,
equal(a26,a14),
inference(rew,[status(thm),theory(equality)],[86059,84856]),
[iquote('0:Rew:86059.0,84856.0')] ).
cnf(86102,plain,
equal(a24,a14),
inference(rew,[status(thm),theory(equality)],[86059,84857]),
[iquote('0:Rew:86059.0,84857.0')] ).
cnf(86103,plain,
equal(product(a56,a14),a133),
inference(rew,[status(thm),theory(equality)],[86059,84861]),
[iquote('0:Rew:86059.0,84861.0')] ).
cnf(86105,plain,
equal(product(a14,a49),a25),
inference(rew,[status(thm),theory(equality)],[86059,84870]),
[iquote('0:Rew:86059.0,84870.0')] ).
cnf(86107,plain,
equal(product(a49,a14),a139),
inference(rew,[status(thm),theory(equality)],[86059,84852]),
[iquote('0:Rew:86059.0,84852.0')] ).
cnf(86109,plain,
equal(a28,a14),
inference(rew,[status(thm),theory(equality)],[86059,85807]),
[iquote('0:Rew:86059.0,85807.0')] ).
cnf(86110,plain,
equal(a29,a14),
inference(rew,[status(thm),theory(equality)],[86059,85935]),
[iquote('0:Rew:86059.0,85935.0')] ).
cnf(86112,plain,
equal(product(a14,a14),a21),
inference(rew,[status(thm),theory(equality)],[86059,85933,85942]),
[iquote('0:Rew:86059.0,85933.0,85942.0,85933.0')] ).
cnf(86113,plain,
equal(a21,a14),
inference(rew,[status(thm),theory(equality)],[1,86112]),
[iquote('0:Rew:1.0,86112.0')] ).
cnf(86114,plain,
equal(product(a14,a141),a22),
inference(rew,[status(thm),theory(equality)],[86113,24]),
[iquote('0:Rew:86113.0,24.0')] ).
cnf(86153,plain,
equal(a23,a14),
inference(rew,[status(thm),theory(equality)],[86113,83956]),
[iquote('0:Rew:86113.0,83956.0')] ).
cnf(86154,plain,
equal(product(a2,a14),a141),
inference(rew,[status(thm),theory(equality)],[86113,84849]),
[iquote('0:Rew:86113.0,84849.0')] ).
cnf(86156,plain,
equal(a27,a14),
inference(rew,[status(thm),theory(equality)],[86113,85932]),
[iquote('0:Rew:86113.0,85932.0')] ).
cnf(86158,plain,
equal(product(a54,a14),a136),
inference(rew,[status(thm),theory(equality)],[86059,85936]),
[iquote('0:Rew:86059.0,85936.0')] ).
cnf(86159,plain,
equal(product(a136,a14),a54),
inference(rew,[status(thm),theory(equality)],[86059,85937]),
[iquote('0:Rew:86059.0,85937.0')] ).
cnf(86162,plain,
equal(product(a14,a14),a4),
inference(rew,[status(thm),theory(equality)],[86059,85986]),
[iquote('0:Rew:86059.0,85986.0')] ).
cnf(86163,plain,
equal(a14,a4),
inference(rew,[status(thm),theory(equality)],[1,86162]),
[iquote('0:Rew:1.0,86162.0')] ).
cnf(86164,plain,
equal(a16,a4),
inference(rew,[status(thm),theory(equality)],[86163,82070]),
[iquote('0:Rew:86163.0,82070.0')] ).
cnf(86165,plain,
equal(product(a4,a136),a15),
inference(rew,[status(thm),theory(equality)],[86163,82067]),
[iquote('0:Rew:86163.0,82067.0')] ).
cnf(86167,plain,
equal(product(a4,a4),a2),
inference(rew,[status(thm),theory(equality)],[86163,84877]),
[iquote('0:Rew:86163.0,84877.0')] ).
cnf(86169,plain,
equal(a8,a4),
inference(rew,[status(thm),theory(equality)],[86163,85942]),
[iquote('0:Rew:86163.0,85942.0')] ).
cnf(86170,plain,
equal(a10,a4),
inference(rew,[status(thm),theory(equality)],[86163,85982]),
[iquote('0:Rew:86163.0,85982.0')] ).
cnf(86171,plain,
equal(a37,a4),
inference(rew,[status(thm),theory(equality)],[86163,85983]),
[iquote('0:Rew:86163.0,85983.0')] ).
cnf(86172,plain,
equal(a35,a4),
inference(rew,[status(thm),theory(equality)],[86163,85984]),
[iquote('0:Rew:86163.0,85984.0')] ).
cnf(86173,plain,
equal(a33,a4),
inference(rew,[status(thm),theory(equality)],[86163,85985]),
[iquote('0:Rew:86163.0,85985.0')] ).
cnf(86174,plain,
equal(a11,a4),
inference(rew,[status(thm),theory(equality)],[86163,85988]),
[iquote('0:Rew:86163.0,85988.0')] ).
cnf(86175,plain,
equal(a13,a4),
inference(rew,[status(thm),theory(equality)],[86163,85989]),
[iquote('0:Rew:86163.0,85989.0')] ).
cnf(86176,plain,
equal(a32,a4),
inference(rew,[status(thm),theory(equality)],[86163,85997]),
[iquote('0:Rew:86163.0,85997.0')] ).
cnf(86177,plain,
equal(a30,a4),
inference(rew,[status(thm),theory(equality)],[86163,85998]),
[iquote('0:Rew:86163.0,85998.0')] ).
cnf(86178,plain,
equal(product(a131,a4),a61),
inference(rew,[status(thm),theory(equality)],[86163,86008]),
[iquote('0:Rew:86163.0,86008.0')] ).
cnf(86181,plain,
equal(product(a4,a4),a31),
inference(rew,[status(thm),theory(equality)],[86163,86056]),
[iquote('0:Rew:86163.0,86056.0')] ).
cnf(86182,plain,
equal(a17,a4),
inference(rew,[status(thm),theory(equality)],[86163,86059]),
[iquote('0:Rew:86163.0,86059.0')] ).
cnf(86183,plain,
equal(a19,a4),
inference(rew,[status(thm),theory(equality)],[86163,86099]),
[iquote('0:Rew:86163.0,86099.0')] ).
cnf(86184,plain,
equal(a20,a4),
inference(rew,[status(thm),theory(equality)],[86163,86100]),
[iquote('0:Rew:86163.0,86100.0')] ).
cnf(86185,plain,
equal(a26,a4),
inference(rew,[status(thm),theory(equality)],[86163,86101]),
[iquote('0:Rew:86163.0,86101.0')] ).
cnf(86186,plain,
equal(a24,a4),
inference(rew,[status(thm),theory(equality)],[86163,86102]),
[iquote('0:Rew:86163.0,86102.0')] ).
cnf(86187,plain,
equal(a28,a4),
inference(rew,[status(thm),theory(equality)],[86163,86109]),
[iquote('0:Rew:86163.0,86109.0')] ).
cnf(86188,plain,
equal(a29,a4),
inference(rew,[status(thm),theory(equality)],[86163,86110]),
[iquote('0:Rew:86163.0,86110.0')] ).
cnf(86189,plain,
equal(a21,a4),
inference(rew,[status(thm),theory(equality)],[86163,86113]),
[iquote('0:Rew:86163.0,86113.0')] ).
cnf(86190,plain,
equal(a23,a4),
inference(rew,[status(thm),theory(equality)],[86163,86153]),
[iquote('0:Rew:86163.0,86153.0')] ).
cnf(86191,plain,
equal(a27,a4),
inference(rew,[status(thm),theory(equality)],[86163,86156]),
[iquote('0:Rew:86163.0,86156.0')] ).
cnf(86192,plain,
equal(product(a54,a4),a136),
inference(rew,[status(thm),theory(equality)],[86163,86158]),
[iquote('0:Rew:86163.0,86158.0')] ).
cnf(86193,plain,
equal(product(a136,a4),a54),
inference(rew,[status(thm),theory(equality)],[86163,86159]),
[iquote('0:Rew:86163.0,86159.0')] ).
cnf(86194,plain,
equal(product(a4,a56),a9),
inference(rew,[status(thm),theory(equality)],[86163,85943]),
[iquote('0:Rew:86163.0,85943.0')] ).
cnf(86196,plain,
equal(product(a54,a4),a56),
inference(rew,[status(thm),theory(equality)],[86163,85987]),
[iquote('0:Rew:86163.0,85987.0')] ).
cnf(86197,plain,
equal(product(a56,a4),a54),
inference(rew,[status(thm),theory(equality)],[86163,85990]),
[iquote('0:Rew:86163.0,85990.0')] ).
cnf(86198,plain,
equal(product(a4,a139),a36),
inference(rew,[status(thm),theory(equality)],[86163,85991]),
[iquote('0:Rew:86163.0,85991.0')] ).
cnf(86200,plain,
equal(product(a4,a131),a34),
inference(rew,[status(thm),theory(equality)],[86163,85993]),
[iquote('0:Rew:86163.0,85993.0')] ).
cnf(86203,plain,
equal(product(a69,a4),a62),
inference(rew,[status(thm),theory(equality)],[86029,85996,86163,86033]),
[iquote('0:Rew:86029.0,85996.0,86163.0,85996.0,86033.0,85996.0')] ).
cnf(86206,plain,
equal(product(a4,a4),a12),
inference(rew,[status(thm),theory(equality)],[86163,86001,86189]),
[iquote('0:Rew:86163.0,86001.0,86189.0,86001.0')] ).
cnf(86207,plain,
equal(a12,a4),
inference(rew,[status(thm),theory(equality)],[1,86206]),
[iquote('0:Rew:1.0,86206.0')] ).
cnf(86209,plain,
equal(product(a139,a4),a141),
inference(rew,[status(thm),theory(equality)],[86163,86003]),
[iquote('0:Rew:86163.0,86003.0')] ).
cnf(86212,plain,
equal(product(a131,a4),a61),
inference(rew,[status(thm),theory(equality)],[86163,86011]),
[iquote('0:Rew:86163.0,86011.0')] ).
cnf(86214,plain,
equal(a62,a131),
inference(rew,[status(thm),theory(equality)],[86203,86013,86019]),
[iquote('0:Rew:86203.0,86013.0,86019.0,86013.0')] ).
cnf(86215,plain,
equal(a128,a131),
inference(rew,[status(thm),theory(equality)],[86214,77613]),
[iquote('0:Rew:86214.0,77613.0')] ).
cnf(86216,plain,
equal(a63,a131),
inference(rew,[status(thm),theory(equality)],[86214,77752]),
[iquote('0:Rew:86214.0,77752.0')] ).
cnf(86217,plain,
equal(a64,a131),
inference(rew,[status(thm),theory(equality)],[86214,77753]),
[iquote('0:Rew:86214.0,77753.0')] ).
cnf(86218,plain,
equal(a94,a131),
inference(rew,[status(thm),theory(equality)],[86214,77754]),
[iquote('0:Rew:86214.0,77754.0')] ).
cnf(86219,plain,
equal(a127,a131),
inference(rew,[status(thm),theory(equality)],[86214,77755]),
[iquote('0:Rew:86214.0,77755.0')] ).
cnf(86220,plain,
equal(a95,a131),
inference(rew,[status(thm),theory(equality)],[86214,77756]),
[iquote('0:Rew:86214.0,77756.0')] ).
cnf(86221,plain,
equal(a96,a131),
inference(rew,[status(thm),theory(equality)],[86214,77757]),
[iquote('0:Rew:86214.0,77757.0')] ).
cnf(86222,plain,
equal(a129,a131),
inference(rew,[status(thm),theory(equality)],[86214,77934]),
[iquote('0:Rew:86214.0,77934.0')] ).
cnf(86225,plain,
equal(a66,a131),
inference(rew,[status(thm),theory(equality)],[86214,84984]),
[iquote('0:Rew:86214.0,84984.0')] ).
cnf(86226,plain,
equal(a92,a131),
inference(rew,[status(thm),theory(equality)],[86214,85027]),
[iquote('0:Rew:86214.0,85027.0')] ).
cnf(86227,plain,
equal(a114,a131),
inference(rew,[status(thm),theory(equality)],[86214,85028]),
[iquote('0:Rew:86214.0,85028.0')] ).
cnf(86228,plain,
equal(a121,a131),
inference(rew,[status(thm),theory(equality)],[86214,85029]),
[iquote('0:Rew:86214.0,85029.0')] ).
cnf(86229,plain,
equal(a99,a131),
inference(rew,[status(thm),theory(equality)],[86214,85030]),
[iquote('0:Rew:86214.0,85030.0')] ).
cnf(86230,plain,
equal(a100,a131),
inference(rew,[status(thm),theory(equality)],[86214,85031]),
[iquote('0:Rew:86214.0,85031.0')] ).
cnf(86231,plain,
equal(a124,a131),
inference(rew,[status(thm),theory(equality)],[86214,85032]),
[iquote('0:Rew:86214.0,85032.0')] ).
cnf(86232,plain,
equal(a115,a131),
inference(rew,[status(thm),theory(equality)],[86214,85033]),
[iquote('0:Rew:86214.0,85033.0')] ).
cnf(86234,plain,
equal(a123,a131),
inference(rew,[status(thm),theory(equality)],[86214,85035]),
[iquote('0:Rew:86214.0,85035.0')] ).
cnf(86235,plain,
equal(a91,a131),
inference(rew,[status(thm),theory(equality)],[86214,85036]),
[iquote('0:Rew:86214.0,85036.0')] ).
cnf(86236,plain,
equal(a68,a131),
inference(rew,[status(thm),theory(equality)],[86214,85037]),
[iquote('0:Rew:86214.0,85037.0')] ).
cnf(86237,plain,
equal(a75,a131),
inference(rew,[status(thm),theory(equality)],[86214,85038]),
[iquote('0:Rew:86214.0,85038.0')] ).
cnf(86238,plain,
equal(a76,a131),
inference(rew,[status(thm),theory(equality)],[86214,85039]),
[iquote('0:Rew:86214.0,85039.0')] ).
cnf(86239,plain,
equal(a77,a131),
inference(rew,[status(thm),theory(equality)],[86214,85040]),
[iquote('0:Rew:86214.0,85040.0')] ).
cnf(86240,plain,
equal(a90,a131),
inference(rew,[status(thm),theory(equality)],[86214,85041]),
[iquote('0:Rew:86214.0,85041.0')] ).
cnf(86241,plain,
equal(a98,a131),
inference(rew,[status(thm),theory(equality)],[86214,85042]),
[iquote('0:Rew:86214.0,85042.0')] ).
cnf(86242,plain,
equal(a67,a131),
inference(rew,[status(thm),theory(equality)],[86214,85043]),
[iquote('0:Rew:86214.0,85043.0')] ).
cnf(86244,plain,
equal(product(a2,a131),a43),
inference(rew,[status(thm),theory(equality)],[86214,84748]),
[iquote('0:Rew:86214.0,84748.0')] ).
cnf(86245,plain,
equal(a70,a131),
inference(rew,[status(thm),theory(equality)],[86214,86033]),
[iquote('0:Rew:86214.0,86033.0')] ).
cnf(86248,plain,
equal(a73,a131),
inference(rew,[status(thm),theory(equality)],[86214,86036]),
[iquote('0:Rew:86214.0,86036.0')] ).
cnf(86249,plain,
equal(a72,a131),
inference(rew,[status(thm),theory(equality)],[86214,86037]),
[iquote('0:Rew:86214.0,86037.0')] ).
cnf(86250,plain,
equal(a71,a131),
inference(rew,[status(thm),theory(equality)],[86214,86038]),
[iquote('0:Rew:86214.0,86038.0')] ).
cnf(86251,plain,
equal(a82,a131),
inference(rew,[status(thm),theory(equality)],[86214,86039]),
[iquote('0:Rew:86214.0,86039.0')] ).
cnf(86252,plain,
equal(a79,a131),
inference(rew,[status(thm),theory(equality)],[86214,86040]),
[iquote('0:Rew:86214.0,86040.0')] ).
cnf(86253,plain,
equal(a112,a131),
inference(rew,[status(thm),theory(equality)],[86214,86041]),
[iquote('0:Rew:86214.0,86041.0')] ).
cnf(86254,plain,
equal(a118,a131),
inference(rew,[status(thm),theory(equality)],[86214,86042]),
[iquote('0:Rew:86214.0,86042.0')] ).
cnf(86255,plain,
equal(a109,a131),
inference(rew,[status(thm),theory(equality)],[86214,86043]),
[iquote('0:Rew:86214.0,86043.0')] ).
cnf(86256,plain,
equal(a108,a131),
inference(rew,[status(thm),theory(equality)],[86214,86044]),
[iquote('0:Rew:86214.0,86044.0')] ).
cnf(86257,plain,
equal(a83,a131),
inference(rew,[status(thm),theory(equality)],[86214,86045]),
[iquote('0:Rew:86214.0,86045.0')] ).
cnf(86258,plain,
equal(a119,a131),
inference(rew,[status(thm),theory(equality)],[86214,86046]),
[iquote('0:Rew:86214.0,86046.0')] ).
cnf(86259,plain,
equal(a110,a131),
inference(rew,[status(thm),theory(equality)],[86214,86047]),
[iquote('0:Rew:86214.0,86047.0')] ).
cnf(86260,plain,
equal(a111,a131),
inference(rew,[status(thm),theory(equality)],[86214,86048]),
[iquote('0:Rew:86214.0,86048.0')] ).
cnf(86261,plain,
equal(a85,a131),
inference(rew,[status(thm),theory(equality)],[86214,86051]),
[iquote('0:Rew:86214.0,86051.0')] ).
cnf(86262,plain,
equal(a105,a131),
inference(rew,[status(thm),theory(equality)],[86214,86052]),
[iquote('0:Rew:86214.0,86052.0')] ).
cnf(86265,plain,
equal(a69,a61),
inference(rew,[status(thm),theory(equality)],[86212,86014,86019]),
[iquote('0:Rew:86212.0,86014.0,86019.0,86014.0')] ).
cnf(86266,plain,
equal(a120,a61),
inference(rew,[status(thm),theory(equality)],[86265,74929]),
[iquote('0:Rew:86265.0,74929.0')] ).
cnf(86267,plain,
equal(a74,a61),
inference(rew,[status(thm),theory(equality)],[86265,86019]),
[iquote('0:Rew:86265.0,86019.0')] ).
cnf(86268,plain,
equal(a101,a61),
inference(rew,[status(thm),theory(equality)],[86265,86020]),
[iquote('0:Rew:86265.0,86020.0')] ).
cnf(86269,plain,
equal(a116,a61),
inference(rew,[status(thm),theory(equality)],[86265,86021]),
[iquote('0:Rew:86265.0,86021.0')] ).
cnf(86270,plain,
equal(a117,a61),
inference(rew,[status(thm),theory(equality)],[86265,86022]),
[iquote('0:Rew:86265.0,86022.0')] ).
cnf(86271,plain,
equal(a86,a61),
inference(rew,[status(thm),theory(equality)],[86265,86025]),
[iquote('0:Rew:86265.0,86025.0')] ).
cnf(86272,plain,
equal(a104,a61),
inference(rew,[status(thm),theory(equality)],[86265,86026]),
[iquote('0:Rew:86265.0,86026.0')] ).
cnf(86273,plain,
equal(a87,a61),
inference(rew,[status(thm),theory(equality)],[86265,86027]),
[iquote('0:Rew:86265.0,86027.0')] ).
cnf(86274,plain,
equal(a103,a61),
inference(rew,[status(thm),theory(equality)],[86265,86028]),
[iquote('0:Rew:86265.0,86028.0')] ).
cnf(86275,plain,
equal(a78,a61),
inference(rew,[status(thm),theory(equality)],[86265,86029]),
[iquote('0:Rew:86265.0,86029.0')] ).
cnf(86276,plain,
equal(a113,a61),
inference(rew,[status(thm),theory(equality)],[86265,86030]),
[iquote('0:Rew:86265.0,86030.0')] ).
cnf(86280,plain,
equal(a84,a61),
inference(rew,[status(thm),theory(equality)],[86212,86049,86214]),
[iquote('0:Rew:86212.0,86049.0,86214.0,86049.0')] ).
cnf(86281,plain,
equal(a106,a61),
inference(rew,[status(thm),theory(equality)],[86280,77227]),
[iquote('0:Rew:86280.0,77227.0')] ).
cnf(86282,plain,
equal(a107,a61),
inference(rew,[status(thm),theory(equality)],[86280,77356]),
[iquote('0:Rew:86280.0,77356.0')] ).
cnf(86286,plain,
equal(product(a4,a133),a18),
inference(rew,[status(thm),theory(equality)],[86163,86060]),
[iquote('0:Rew:86163.0,86060.0')] ).
cnf(86288,plain,
equal(a54,a133),
inference(rew,[status(thm),theory(equality)],[86197,86103,86163]),
[iquote('0:Rew:86197.0,86103.0,86163.0,86103.0')] ).
cnf(86289,plain,
equal(a55,a133),
inference(rew,[status(thm),theory(equality)],[86288,80977]),
[iquote('0:Rew:86288.0,80977.0')] ).
cnf(86290,plain,
equal(a135,a133),
inference(rew,[status(thm),theory(equality)],[86288,81402]),
[iquote('0:Rew:86288.0,81402.0')] ).
cnf(86291,plain,
equal(product(a133,a4),a56),
inference(rew,[status(thm),theory(equality)],[86288,86196]),
[iquote('0:Rew:86288.0,86196.0')] ).
cnf(86294,plain,
equal(product(a4,a49),a25),
inference(rew,[status(thm),theory(equality)],[86163,86105]),
[iquote('0:Rew:86163.0,86105.0')] ).
cnf(86296,plain,
equal(a139,a136),
inference(rew,[status(thm),theory(equality)],[85379,86107,86163]),
[iquote('0:Rew:85379.0,86107.0,86163.0,86107.0')] ).
cnf(86297,plain,
equal(a47,a136),
inference(rew,[status(thm),theory(equality)],[86296,83234]),
[iquote('0:Rew:86296.0,83234.0')] ).
cnf(86298,plain,
equal(a140,a136),
inference(rew,[status(thm),theory(equality)],[86296,83528]),
[iquote('0:Rew:86296.0,83528.0')] ).
cnf(86299,plain,
equal(product(a4,a136),a36),
inference(rew,[status(thm),theory(equality)],[86296,86198]),
[iquote('0:Rew:86296.0,86198.0')] ).
cnf(86301,plain,
equal(product(a136,a4),a141),
inference(rew,[status(thm),theory(equality)],[86296,86209]),
[iquote('0:Rew:86296.0,86209.0')] ).
cnf(86304,plain,
equal(product(a4,a141),a22),
inference(rew,[status(thm),theory(equality)],[86163,86114]),
[iquote('0:Rew:86163.0,86114.0')] ).
cnf(86306,plain,
equal(product(a2,a4),a141),
inference(rew,[status(thm),theory(equality)],[86163,86154]),
[iquote('0:Rew:86163.0,86154.0')] ).
cnf(86308,plain,
equal(a15,a6),
inference(rew,[status(thm),theory(equality)],[85517,86165]),
[iquote('0:Rew:85517.0,86165.0')] ).
cnf(86310,plain,
equal(a4,a2),
inference(rew,[status(thm),theory(equality)],[1,86167]),
[iquote('0:Rew:1.0,86167.0')] ).
cnf(86311,plain,
equal(a40,a2),
inference(rew,[status(thm),theory(equality)],[86310,85164]),
[iquote('0:Rew:86310.0,85164.0')] ).
cnf(86312,plain,
equal(a39,a2),
inference(rew,[status(thm),theory(equality)],[86310,85255]),
[iquote('0:Rew:86310.0,85255.0')] ).
cnf(86313,plain,
equal(a38,a2),
inference(rew,[status(thm),theory(equality)],[86310,85453]),
[iquote('0:Rew:86310.0,85453.0')] ).
cnf(86314,plain,
equal(a5,a2),
inference(rew,[status(thm),theory(equality)],[86310,85514]),
[iquote('0:Rew:86310.0,85514.0')] ).
cnf(86315,plain,
equal(a7,a2),
inference(rew,[status(thm),theory(equality)],[86310,85655]),
[iquote('0:Rew:86310.0,85655.0')] ).
cnf(86316,plain,
equal(product(a49,a2),a136),
inference(rew,[status(thm),theory(equality)],[86310,85379]),
[iquote('0:Rew:86310.0,85379.0')] ).
cnf(86317,plain,
equal(product(a136,a2),a49),
inference(rew,[status(thm),theory(equality)],[86310,85382]),
[iquote('0:Rew:86310.0,85382.0')] ).
cnf(86318,plain,
equal(product(a2,a136),a6),
inference(rew,[status(thm),theory(equality)],[86310,85517]),
[iquote('0:Rew:86310.0,85517.0')] ).
cnf(86320,plain,
equal(a14,a2),
inference(rew,[status(thm),theory(equality)],[86310,86163]),
[iquote('0:Rew:86310.0,86163.0')] ).
cnf(86321,plain,
equal(a16,a2),
inference(rew,[status(thm),theory(equality)],[86310,86164]),
[iquote('0:Rew:86310.0,86164.0')] ).
cnf(86322,plain,
equal(a8,a2),
inference(rew,[status(thm),theory(equality)],[86310,86169]),
[iquote('0:Rew:86310.0,86169.0')] ).
cnf(86323,plain,
equal(a10,a2),
inference(rew,[status(thm),theory(equality)],[86310,86170]),
[iquote('0:Rew:86310.0,86170.0')] ).
cnf(86324,plain,
equal(a37,a2),
inference(rew,[status(thm),theory(equality)],[86310,86171]),
[iquote('0:Rew:86310.0,86171.0')] ).
cnf(86325,plain,
equal(a35,a2),
inference(rew,[status(thm),theory(equality)],[86310,86172]),
[iquote('0:Rew:86310.0,86172.0')] ).
cnf(86326,plain,
equal(a33,a2),
inference(rew,[status(thm),theory(equality)],[86310,86173]),
[iquote('0:Rew:86310.0,86173.0')] ).
cnf(86327,plain,
equal(a11,a2),
inference(rew,[status(thm),theory(equality)],[86310,86174]),
[iquote('0:Rew:86310.0,86174.0')] ).
cnf(86328,plain,
equal(a13,a2),
inference(rew,[status(thm),theory(equality)],[86310,86175]),
[iquote('0:Rew:86310.0,86175.0')] ).
cnf(86329,plain,
equal(a32,a2),
inference(rew,[status(thm),theory(equality)],[86310,86176]),
[iquote('0:Rew:86310.0,86176.0')] ).
cnf(86330,plain,
equal(a30,a2),
inference(rew,[status(thm),theory(equality)],[86310,86177]),
[iquote('0:Rew:86310.0,86177.0')] ).
cnf(86331,plain,
equal(a17,a2),
inference(rew,[status(thm),theory(equality)],[86310,86182]),
[iquote('0:Rew:86310.0,86182.0')] ).
cnf(86332,plain,
equal(a19,a2),
inference(rew,[status(thm),theory(equality)],[86310,86183]),
[iquote('0:Rew:86310.0,86183.0')] ).
cnf(86333,plain,
equal(a20,a2),
inference(rew,[status(thm),theory(equality)],[86310,86184]),
[iquote('0:Rew:86310.0,86184.0')] ).
cnf(86334,plain,
equal(a26,a2),
inference(rew,[status(thm),theory(equality)],[86310,86185]),
[iquote('0:Rew:86310.0,86185.0')] ).
cnf(86335,plain,
equal(a24,a2),
inference(rew,[status(thm),theory(equality)],[86310,86186]),
[iquote('0:Rew:86310.0,86186.0')] ).
cnf(86336,plain,
equal(a28,a2),
inference(rew,[status(thm),theory(equality)],[86310,86187]),
[iquote('0:Rew:86310.0,86187.0')] ).
cnf(86337,plain,
equal(a29,a2),
inference(rew,[status(thm),theory(equality)],[86310,86188]),
[iquote('0:Rew:86310.0,86188.0')] ).
cnf(86338,plain,
equal(a21,a2),
inference(rew,[status(thm),theory(equality)],[86310,86189]),
[iquote('0:Rew:86310.0,86189.0')] ).
cnf(86339,plain,
equal(a23,a2),
inference(rew,[status(thm),theory(equality)],[86310,86190]),
[iquote('0:Rew:86310.0,86190.0')] ).
cnf(86340,plain,
equal(a27,a2),
inference(rew,[status(thm),theory(equality)],[86310,86191]),
[iquote('0:Rew:86310.0,86191.0')] ).
cnf(86341,plain,
equal(product(a2,a131),a34),
inference(rew,[status(thm),theory(equality)],[86310,86200]),
[iquote('0:Rew:86310.0,86200.0')] ).
cnf(86343,plain,
equal(a12,a2),
inference(rew,[status(thm),theory(equality)],[86310,86207]),
[iquote('0:Rew:86310.0,86207.0')] ).
cnf(86346,plain,
equal(product(a2,a133),a18),
inference(rew,[status(thm),theory(equality)],[86310,86286]),
[iquote('0:Rew:86310.0,86286.0')] ).
cnf(86349,plain,
equal(product(a2,a49),a25),
inference(rew,[status(thm),theory(equality)],[86310,86294]),
[iquote('0:Rew:86310.0,86294.0')] ).
cnf(86351,plain,
equal(product(a2,a141),a22),
inference(rew,[status(thm),theory(equality)],[86310,86304]),
[iquote('0:Rew:86310.0,86304.0')] ).
cnf(86353,plain,
equal(product(a2,a2),a141),
inference(rew,[status(thm),theory(equality)],[86310,86306]),
[iquote('0:Rew:86310.0,86306.0')] ).
cnf(86356,plain,
equal(product(a131,a2),a61),
inference(rew,[status(thm),theory(equality)],[86310,86178]),
[iquote('0:Rew:86310.0,86178.0')] ).
cnf(86359,plain,
equal(a31,a4),
inference(rew,[status(thm),theory(equality)],[1,86181]),
[iquote('0:Rew:1.0,86181.0')] ).
cnf(86360,plain,
equal(a31,a2),
inference(rew,[status(thm),theory(equality)],[86310,86359]),
[iquote('0:Rew:86310.0,86359.0')] ).
cnf(86362,plain,
equal(product(a133,a2),a136),
inference(rew,[status(thm),theory(equality)],[86288,86192,86310]),
[iquote('0:Rew:86288.0,86192.0,86310.0,86192.0')] ).
cnf(86363,plain,
equal(product(a136,a2),a133),
inference(rew,[status(thm),theory(equality)],[86310,86193,86288]),
[iquote('0:Rew:86310.0,86193.0,86288.0,86193.0')] ).
cnf(86364,plain,
equal(product(a2,a56),a9),
inference(rew,[status(thm),theory(equality)],[86310,86194]),
[iquote('0:Rew:86310.0,86194.0')] ).
cnf(86368,plain,
equal(a56,a136),
inference(rew,[status(thm),theory(equality)],[86362,86291,86310]),
[iquote('0:Rew:86362.0,86291.0,86310.0,86291.0')] ).
cnf(86369,plain,
equal(a134,a136),
inference(rew,[status(thm),theory(equality)],[86368,80646]),
[iquote('0:Rew:86368.0,80646.0')] ).
cnf(86370,plain,
equal(a57,a136),
inference(rew,[status(thm),theory(equality)],[86368,80974]),
[iquote('0:Rew:86368.0,80974.0')] ).
cnf(86371,plain,
equal(product(a2,a136),a9),
inference(rew,[status(thm),theory(equality)],[86368,86364]),
[iquote('0:Rew:86368.0,86364.0')] ).
cnf(86374,plain,
equal(product(a2,a136),a36),
inference(rew,[status(thm),theory(equality)],[86310,86299]),
[iquote('0:Rew:86310.0,86299.0')] ).
cnf(86376,plain,
equal(a141,a133),
inference(rew,[status(thm),theory(equality)],[86363,86301,86310]),
[iquote('0:Rew:86363.0,86301.0,86310.0,86301.0')] ).
cnf(86377,plain,
equal(a46,a133),
inference(rew,[status(thm),theory(equality)],[86376,83788]),
[iquote('0:Rew:86376.0,83788.0')] ).
cnf(86378,plain,
equal(a45,a133),
inference(rew,[status(thm),theory(equality)],[86376,83917]),
[iquote('0:Rew:86376.0,83917.0')] ).
cnf(86380,plain,
equal(a49,a133),
inference(rew,[status(thm),theory(equality)],[86363,86317]),
[iquote('0:Rew:86363.0,86317.0')] ).
cnf(86381,plain,
equal(product(a133,a131),a50),
inference(rew,[status(thm),theory(equality)],[86380,52]),
[iquote('0:Rew:86380.0,52.0')] ).
cnf(86419,plain,
equal(a51,a133),
inference(rew,[status(thm),theory(equality)],[86380,79460]),
[iquote('0:Rew:86380.0,79460.0')] ).
cnf(86420,plain,
equal(a137,a133),
inference(rew,[status(thm),theory(equality)],[86380,82406]),
[iquote('0:Rew:86380.0,82406.0')] ).
cnf(86421,plain,
equal(a138,a133),
inference(rew,[status(thm),theory(equality)],[86380,82612]),
[iquote('0:Rew:86380.0,82612.0')] ).
cnf(86422,plain,
equal(a48,a133),
inference(rew,[status(thm),theory(equality)],[86380,83107]),
[iquote('0:Rew:86380.0,83107.0')] ).
cnf(86423,plain,
equal(product(a131,a133),a133),
inference(rew,[status(thm),theory(equality)],[86380,82906]),
[iquote('0:Rew:86380.0,82906.0')] ).
cnf(86424,plain,
equal(product(a133,a133),a131),
inference(rew,[status(thm),theory(equality)],[86380,82907]),
[iquote('0:Rew:86380.0,82907.0')] ).
cnf(86425,plain,
equal(product(a133,a2),a136),
inference(rew,[status(thm),theory(equality)],[86380,86316]),
[iquote('0:Rew:86380.0,86316.0')] ).
cnf(86426,plain,
equal(a36,a6),
inference(rew,[status(thm),theory(equality)],[86374,86318]),
[iquote('0:Rew:86374.0,86318.0')] ).
cnf(86427,plain,
equal(product(a2,a136),a6),
inference(rew,[status(thm),theory(equality)],[86426,86374]),
[iquote('0:Rew:86426.0,86374.0')] ).
cnf(86429,plain,
equal(a43,a34),
inference(rew,[status(thm),theory(equality)],[86244,86341]),
[iquote('0:Rew:86244.0,86341.0')] ).
cnf(86431,plain,
equal(product(a2,a131),a34),
inference(rew,[status(thm),theory(equality)],[86429,86244]),
[iquote('0:Rew:86429.0,86244.0')] ).
cnf(86433,plain,
equal(a25,a18),
inference(rew,[status(thm),theory(equality)],[86346,86349,86380]),
[iquote('0:Rew:86346.0,86349.0,86380.0,86349.0')] ).
cnf(86435,plain,
equal(a22,a18),
inference(rew,[status(thm),theory(equality)],[86346,86351,86376]),
[iquote('0:Rew:86346.0,86351.0,86376.0,86351.0')] ).
cnf(86437,plain,
equal(a141,a2),
inference(rew,[status(thm),theory(equality)],[1,86353]),
[iquote('0:Rew:1.0,86353.0')] ).
cnf(86438,plain,
equal(a133,a2),
inference(rew,[status(thm),theory(equality)],[86376,86437]),
[iquote('0:Rew:86376.0,86437.0')] ).
cnf(86439,plain,
equal(a58,a2),
inference(rew,[status(thm),theory(equality)],[86438,80045]),
[iquote('0:Rew:86438.0,80045.0')] ).
cnf(86440,plain,
equal(a132,a2),
inference(rew,[status(thm),theory(equality)],[86438,80319]),
[iquote('0:Rew:86438.0,80319.0')] ).
cnf(86441,plain,
equal(a54,a2),
inference(rew,[status(thm),theory(equality)],[86438,86288]),
[iquote('0:Rew:86438.0,86288.0')] ).
cnf(86442,plain,
equal(a55,a2),
inference(rew,[status(thm),theory(equality)],[86438,86289]),
[iquote('0:Rew:86438.0,86289.0')] ).
cnf(86443,plain,
equal(a135,a2),
inference(rew,[status(thm),theory(equality)],[86438,86290]),
[iquote('0:Rew:86438.0,86290.0')] ).
cnf(86446,plain,
equal(a141,a2),
inference(rew,[status(thm),theory(equality)],[86438,86376]),
[iquote('0:Rew:86438.0,86376.0')] ).
cnf(86447,plain,
equal(a46,a2),
inference(rew,[status(thm),theory(equality)],[86438,86377]),
[iquote('0:Rew:86438.0,86377.0')] ).
cnf(86448,plain,
equal(a45,a2),
inference(rew,[status(thm),theory(equality)],[86438,86378]),
[iquote('0:Rew:86438.0,86378.0')] ).
cnf(86449,plain,
equal(a49,a2),
inference(rew,[status(thm),theory(equality)],[86438,86380]),
[iquote('0:Rew:86438.0,86380.0')] ).
cnf(86450,plain,
equal(a51,a2),
inference(rew,[status(thm),theory(equality)],[86438,86419]),
[iquote('0:Rew:86438.0,86419.0')] ).
cnf(86451,plain,
equal(a137,a2),
inference(rew,[status(thm),theory(equality)],[86438,86420]),
[iquote('0:Rew:86438.0,86420.0')] ).
cnf(86452,plain,
equal(a138,a2),
inference(rew,[status(thm),theory(equality)],[86438,86421]),
[iquote('0:Rew:86438.0,86421.0')] ).
cnf(86453,plain,
equal(a48,a2),
inference(rew,[status(thm),theory(equality)],[86438,86422]),
[iquote('0:Rew:86438.0,86422.0')] ).
cnf(86454,plain,
equal(product(a2,a2),a18),
inference(rew,[status(thm),theory(equality)],[86438,86346]),
[iquote('0:Rew:86438.0,86346.0')] ).
cnf(86457,plain,
equal(product(a2,a131),a50),
inference(rew,[status(thm),theory(equality)],[86438,86381]),
[iquote('0:Rew:86438.0,86381.0')] ).
cnf(86459,plain,
equal(a61,a2),
inference(rew,[status(thm),theory(equality)],[86356,86423,86438]),
[iquote('0:Rew:86356.0,86423.0,86438.0,86423.0')] ).
cnf(86460,plain,
equal(a130,a2),
inference(rew,[status(thm),theory(equality)],[86459,78374]),
[iquote('0:Rew:86459.0,78374.0')] ).
cnf(86461,plain,
equal(a97,a2),
inference(rew,[status(thm),theory(equality)],[86459,84872]),
[iquote('0:Rew:86459.0,84872.0')] ).
cnf(86462,plain,
equal(a89,a2),
inference(rew,[status(thm),theory(equality)],[86459,85098]),
[iquote('0:Rew:86459.0,85098.0')] ).
cnf(86463,plain,
equal(a65,a2),
inference(rew,[status(thm),theory(equality)],[86459,85142]),
[iquote('0:Rew:86459.0,85142.0')] ).
cnf(86464,plain,
equal(a125,a2),
inference(rew,[status(thm),theory(equality)],[86459,85143]),
[iquote('0:Rew:86459.0,85143.0')] ).
cnf(86465,plain,
equal(a93,a2),
inference(rew,[status(thm),theory(equality)],[86459,85144]),
[iquote('0:Rew:86459.0,85144.0')] ).
cnf(86466,plain,
equal(a126,a2),
inference(rew,[status(thm),theory(equality)],[86459,85145]),
[iquote('0:Rew:86459.0,85145.0')] ).
cnf(86467,plain,
equal(a69,a2),
inference(rew,[status(thm),theory(equality)],[86459,86265]),
[iquote('0:Rew:86459.0,86265.0')] ).
cnf(86468,plain,
equal(a120,a2),
inference(rew,[status(thm),theory(equality)],[86459,86266]),
[iquote('0:Rew:86459.0,86266.0')] ).
cnf(86469,plain,
equal(a74,a2),
inference(rew,[status(thm),theory(equality)],[86459,86267]),
[iquote('0:Rew:86459.0,86267.0')] ).
cnf(86470,plain,
equal(a101,a2),
inference(rew,[status(thm),theory(equality)],[86459,86268]),
[iquote('0:Rew:86459.0,86268.0')] ).
cnf(86471,plain,
equal(a116,a2),
inference(rew,[status(thm),theory(equality)],[86459,86269]),
[iquote('0:Rew:86459.0,86269.0')] ).
cnf(86472,plain,
equal(a117,a2),
inference(rew,[status(thm),theory(equality)],[86459,86270]),
[iquote('0:Rew:86459.0,86270.0')] ).
cnf(86473,plain,
equal(a86,a2),
inference(rew,[status(thm),theory(equality)],[86459,86271]),
[iquote('0:Rew:86459.0,86271.0')] ).
cnf(86474,plain,
equal(a104,a2),
inference(rew,[status(thm),theory(equality)],[86459,86272]),
[iquote('0:Rew:86459.0,86272.0')] ).
cnf(86475,plain,
equal(a87,a2),
inference(rew,[status(thm),theory(equality)],[86459,86273]),
[iquote('0:Rew:86459.0,86273.0')] ).
cnf(86476,plain,
equal(a103,a2),
inference(rew,[status(thm),theory(equality)],[86459,86274]),
[iquote('0:Rew:86459.0,86274.0')] ).
cnf(86477,plain,
equal(a78,a2),
inference(rew,[status(thm),theory(equality)],[86459,86275]),
[iquote('0:Rew:86459.0,86275.0')] ).
cnf(86478,plain,
equal(a113,a2),
inference(rew,[status(thm),theory(equality)],[86459,86276]),
[iquote('0:Rew:86459.0,86276.0')] ).
cnf(86479,plain,
equal(a84,a2),
inference(rew,[status(thm),theory(equality)],[86459,86280]),
[iquote('0:Rew:86459.0,86280.0')] ).
cnf(86480,plain,
equal(a106,a2),
inference(rew,[status(thm),theory(equality)],[86459,86281]),
[iquote('0:Rew:86459.0,86281.0')] ).
cnf(86481,plain,
equal(a107,a2),
inference(rew,[status(thm),theory(equality)],[86459,86282]),
[iquote('0:Rew:86459.0,86282.0')] ).
cnf(86484,plain,
equal(a131,a133),
inference(rew,[status(thm),theory(equality)],[1,86424]),
[iquote('0:Rew:1.0,86424.0')] ).
cnf(86485,plain,
equal(a131,a2),
inference(rew,[status(thm),theory(equality)],[86438,86484]),
[iquote('0:Rew:86438.0,86484.0')] ).
cnf(86486,plain,
equal(a60,a2),
inference(rew,[status(thm),theory(equality)],[86485,78555]),
[iquote('0:Rew:86485.0,78555.0')] ).
cnf(86487,plain,
equal(a59,a2),
inference(rew,[status(thm),theory(equality)],[86485,79136]),
[iquote('0:Rew:86485.0,79136.0')] ).
cnf(86488,plain,
equal(a88,a2),
inference(rew,[status(thm),theory(equality)],[86485,86009]),
[iquote('0:Rew:86485.0,86009.0')] ).
cnf(86489,plain,
equal(a102,a2),
inference(rew,[status(thm),theory(equality)],[86485,86010]),
[iquote('0:Rew:86485.0,86010.0')] ).
cnf(86490,plain,
equal(a62,a2),
inference(rew,[status(thm),theory(equality)],[86485,86214]),
[iquote('0:Rew:86485.0,86214.0')] ).
cnf(86491,plain,
equal(a128,a2),
inference(rew,[status(thm),theory(equality)],[86485,86215]),
[iquote('0:Rew:86485.0,86215.0')] ).
cnf(86492,plain,
equal(a63,a2),
inference(rew,[status(thm),theory(equality)],[86485,86216]),
[iquote('0:Rew:86485.0,86216.0')] ).
cnf(86493,plain,
equal(a64,a2),
inference(rew,[status(thm),theory(equality)],[86485,86217]),
[iquote('0:Rew:86485.0,86217.0')] ).
cnf(86494,plain,
equal(a94,a2),
inference(rew,[status(thm),theory(equality)],[86485,86218]),
[iquote('0:Rew:86485.0,86218.0')] ).
cnf(86495,plain,
equal(a127,a2),
inference(rew,[status(thm),theory(equality)],[86485,86219]),
[iquote('0:Rew:86485.0,86219.0')] ).
cnf(86496,plain,
equal(a95,a2),
inference(rew,[status(thm),theory(equality)],[86485,86220]),
[iquote('0:Rew:86485.0,86220.0')] ).
cnf(86497,plain,
equal(a96,a2),
inference(rew,[status(thm),theory(equality)],[86485,86221]),
[iquote('0:Rew:86485.0,86221.0')] ).
cnf(86498,plain,
equal(a129,a2),
inference(rew,[status(thm),theory(equality)],[86485,86222]),
[iquote('0:Rew:86485.0,86222.0')] ).
cnf(86499,plain,
equal(a66,a2),
inference(rew,[status(thm),theory(equality)],[86485,86225]),
[iquote('0:Rew:86485.0,86225.0')] ).
cnf(86500,plain,
equal(a92,a2),
inference(rew,[status(thm),theory(equality)],[86485,86226]),
[iquote('0:Rew:86485.0,86226.0')] ).
cnf(86501,plain,
equal(a114,a2),
inference(rew,[status(thm),theory(equality)],[86485,86227]),
[iquote('0:Rew:86485.0,86227.0')] ).
cnf(86502,plain,
equal(a121,a2),
inference(rew,[status(thm),theory(equality)],[86485,86228]),
[iquote('0:Rew:86485.0,86228.0')] ).
cnf(86503,plain,
equal(a99,a2),
inference(rew,[status(thm),theory(equality)],[86485,86229]),
[iquote('0:Rew:86485.0,86229.0')] ).
cnf(86504,plain,
equal(a100,a2),
inference(rew,[status(thm),theory(equality)],[86485,86230]),
[iquote('0:Rew:86485.0,86230.0')] ).
cnf(86505,plain,
equal(a124,a2),
inference(rew,[status(thm),theory(equality)],[86485,86231]),
[iquote('0:Rew:86485.0,86231.0')] ).
cnf(86506,plain,
equal(a115,a2),
inference(rew,[status(thm),theory(equality)],[86485,86232]),
[iquote('0:Rew:86485.0,86232.0')] ).
cnf(86508,plain,
equal(a123,a2),
inference(rew,[status(thm),theory(equality)],[86485,86234]),
[iquote('0:Rew:86485.0,86234.0')] ).
cnf(86509,plain,
equal(a91,a2),
inference(rew,[status(thm),theory(equality)],[86485,86235]),
[iquote('0:Rew:86485.0,86235.0')] ).
cnf(86510,plain,
equal(a68,a2),
inference(rew,[status(thm),theory(equality)],[86485,86236]),
[iquote('0:Rew:86485.0,86236.0')] ).
cnf(86511,plain,
equal(a75,a2),
inference(rew,[status(thm),theory(equality)],[86485,86237]),
[iquote('0:Rew:86485.0,86237.0')] ).
cnf(86512,plain,
equal(a76,a2),
inference(rew,[status(thm),theory(equality)],[86485,86238]),
[iquote('0:Rew:86485.0,86238.0')] ).
cnf(86513,plain,
equal(a77,a2),
inference(rew,[status(thm),theory(equality)],[86485,86239]),
[iquote('0:Rew:86485.0,86239.0')] ).
cnf(86514,plain,
equal(a90,a2),
inference(rew,[status(thm),theory(equality)],[86485,86240]),
[iquote('0:Rew:86485.0,86240.0')] ).
cnf(86515,plain,
equal(a98,a2),
inference(rew,[status(thm),theory(equality)],[86485,86241]),
[iquote('0:Rew:86485.0,86241.0')] ).
cnf(86516,plain,
equal(a67,a2),
inference(rew,[status(thm),theory(equality)],[86485,86242]),
[iquote('0:Rew:86485.0,86242.0')] ).
cnf(86517,plain,
equal(a70,a2),
inference(rew,[status(thm),theory(equality)],[86485,86245]),
[iquote('0:Rew:86485.0,86245.0')] ).
cnf(86520,plain,
equal(a73,a2),
inference(rew,[status(thm),theory(equality)],[86485,86248]),
[iquote('0:Rew:86485.0,86248.0')] ).
cnf(86521,plain,
equal(a72,a2),
inference(rew,[status(thm),theory(equality)],[86485,86249]),
[iquote('0:Rew:86485.0,86249.0')] ).
cnf(86522,plain,
equal(a71,a2),
inference(rew,[status(thm),theory(equality)],[86485,86250]),
[iquote('0:Rew:86485.0,86250.0')] ).
cnf(86523,plain,
equal(a82,a2),
inference(rew,[status(thm),theory(equality)],[86485,86251]),
[iquote('0:Rew:86485.0,86251.0')] ).
cnf(86524,plain,
equal(a79,a2),
inference(rew,[status(thm),theory(equality)],[86485,86252]),
[iquote('0:Rew:86485.0,86252.0')] ).
cnf(86525,plain,
equal(a112,a2),
inference(rew,[status(thm),theory(equality)],[86485,86253]),
[iquote('0:Rew:86485.0,86253.0')] ).
cnf(86526,plain,
equal(a118,a2),
inference(rew,[status(thm),theory(equality)],[86485,86254]),
[iquote('0:Rew:86485.0,86254.0')] ).
cnf(86527,plain,
equal(a109,a2),
inference(rew,[status(thm),theory(equality)],[86485,86255]),
[iquote('0:Rew:86485.0,86255.0')] ).
cnf(86528,plain,
equal(a108,a2),
inference(rew,[status(thm),theory(equality)],[86485,86256]),
[iquote('0:Rew:86485.0,86256.0')] ).
cnf(86529,plain,
equal(a83,a2),
inference(rew,[status(thm),theory(equality)],[86485,86257]),
[iquote('0:Rew:86485.0,86257.0')] ).
cnf(86530,plain,
equal(a119,a2),
inference(rew,[status(thm),theory(equality)],[86485,86258]),
[iquote('0:Rew:86485.0,86258.0')] ).
cnf(86531,plain,
equal(a110,a2),
inference(rew,[status(thm),theory(equality)],[86485,86259]),
[iquote('0:Rew:86485.0,86259.0')] ).
cnf(86532,plain,
equal(a111,a2),
inference(rew,[status(thm),theory(equality)],[86485,86260]),
[iquote('0:Rew:86485.0,86260.0')] ).
cnf(86533,plain,
equal(a85,a2),
inference(rew,[status(thm),theory(equality)],[86485,86261]),
[iquote('0:Rew:86485.0,86261.0')] ).
cnf(86534,plain,
equal(a105,a2),
inference(rew,[status(thm),theory(equality)],[86485,86262]),
[iquote('0:Rew:86485.0,86262.0')] ).
cnf(86536,plain,
equal(product(a2,a2),a50),
inference(rew,[status(thm),theory(equality)],[86485,86457]),
[iquote('0:Rew:86485.0,86457.0')] ).
cnf(86538,plain,
equal(product(a2,a2),a136),
inference(rew,[status(thm),theory(equality)],[86438,86425]),
[iquote('0:Rew:86438.0,86425.0')] ).
cnf(86539,plain,
equal(a136,a2),
inference(rew,[status(thm),theory(equality)],[1,86538]),
[iquote('0:Rew:1.0,86538.0')] ).
cnf(86540,plain,
equal(a52,a2),
inference(rew,[status(thm),theory(equality)],[86539,81875]),
[iquote('0:Rew:86539.0,81875.0')] ).
cnf(86541,plain,
equal(a53,a2),
inference(rew,[status(thm),theory(equality)],[86539,82064]),
[iquote('0:Rew:86539.0,82064.0')] ).
cnf(86542,plain,
equal(a139,a2),
inference(rew,[status(thm),theory(equality)],[86539,86296]),
[iquote('0:Rew:86539.0,86296.0')] ).
cnf(86543,plain,
equal(a47,a2),
inference(rew,[status(thm),theory(equality)],[86539,86297]),
[iquote('0:Rew:86539.0,86297.0')] ).
cnf(86544,plain,
equal(a140,a2),
inference(rew,[status(thm),theory(equality)],[86539,86298]),
[iquote('0:Rew:86539.0,86298.0')] ).
cnf(86545,plain,
equal(a56,a2),
inference(rew,[status(thm),theory(equality)],[86539,86368]),
[iquote('0:Rew:86539.0,86368.0')] ).
cnf(86546,plain,
equal(a134,a2),
inference(rew,[status(thm),theory(equality)],[86539,86369]),
[iquote('0:Rew:86539.0,86369.0')] ).
cnf(86547,plain,
equal(a57,a2),
inference(rew,[status(thm),theory(equality)],[86539,86370]),
[iquote('0:Rew:86539.0,86370.0')] ).
cnf(86549,plain,
equal(product(a2,a2),a9),
inference(rew,[status(thm),theory(equality)],[86539,86371]),
[iquote('0:Rew:86539.0,86371.0')] ).
cnf(86551,plain,
equal(product(a2,a2),a6),
inference(rew,[status(thm),theory(equality)],[86539,86427]),
[iquote('0:Rew:86539.0,86427.0')] ).
cnf(86552,plain,
equal(a6,a2),
inference(rew,[status(thm),theory(equality)],[1,86551]),
[iquote('0:Rew:1.0,86551.0')] ).
cnf(86553,plain,
equal(a15,a2),
inference(rew,[status(thm),theory(equality)],[86552,86308]),
[iquote('0:Rew:86552.0,86308.0')] ).
cnf(86554,plain,
equal(a36,a2),
inference(rew,[status(thm),theory(equality)],[86552,86426]),
[iquote('0:Rew:86552.0,86426.0')] ).
cnf(86557,plain,
equal(product(a2,a2),a34),
inference(rew,[status(thm),theory(equality)],[86485,86431]),
[iquote('0:Rew:86485.0,86431.0')] ).
cnf(86558,plain,
equal(a34,a2),
inference(rew,[status(thm),theory(equality)],[1,86557]),
[iquote('0:Rew:1.0,86557.0')] ).
cnf(86559,plain,
equal(a43,a2),
inference(rew,[status(thm),theory(equality)],[86558,86429]),
[iquote('0:Rew:86558.0,86429.0')] ).
cnf(86563,plain,
equal(a18,a2),
inference(rew,[status(thm),theory(equality)],[1,86454]),
[iquote('0:Rew:1.0,86454.0')] ).
cnf(86564,plain,
equal(a25,a2),
inference(rew,[status(thm),theory(equality)],[86563,86433]),
[iquote('0:Rew:86563.0,86433.0')] ).
cnf(86565,plain,
equal(a22,a2),
inference(rew,[status(thm),theory(equality)],[86563,86435]),
[iquote('0:Rew:86563.0,86435.0')] ).
cnf(86570,plain,
equal(a50,a2),
inference(rew,[status(thm),theory(equality)],[1,86536]),
[iquote('0:Rew:1.0,86536.0')] ).
cnf(86573,plain,
equal(a9,a2),
inference(rew,[status(thm),theory(equality)],[1,86549]),
[iquote('0:Rew:1.0,86549.0')] ).
cnf(113151,plain,
~ equal(tuple(a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2),tuple(a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2,a2)),
inference(rew,[status(thm),theory(equality)],[84632,67681,84875,84745,86559,86310,84752,86314,86320,86553,86552,86312,86311,86315,86539,86451,86322,86541,86540,86573,86331,86563,86323,86545,86547,86327,86546,86443,86343,86324,86313,86328,86339,86338,86335,86329,86326,86321,86441,86337,86330,86332,86438,86333,86487,86439,86565,86334,86340,86325,86554,86446,86448,86447,86564,86449,86570,86542,86452,86336,86360,86558,86485,86440,86486,86459,86544,86543,86453,84746,86490,86492,86491,86498,86450,86442,86493,86497,86461,86463,86495,86499,86516,86510,86500,86465,86467,86515,86503,86522,86521,86530,86526,86520,86527,86531,86469,86523,86529,86511,86512,86513,86477,86501,86524,86517,86468,86479,86533,86473,86475,86488,86474,86534,86462,86514,86509,86504,86470,86505,86464,86494,86496,86489,86476,86480,86481,86528,86532,86525,86478,86471,86472,86502,86506,86508,86466,86460]),
[iquote('0:Rew:84632.0,67681.0,84875.0,67681.0,84745.0,67681.0,86559.0,67681.0,86310.0,67681.0,84752.0,67681.0,86314.0,67681.0,86320.0,67681.0,86553.0,67681.0,86552.0,67681.0,86312.0,67681.0,86311.0,67681.0,86315.0,67681.0,86539.0,67681.0,86451.0,67681.0,86322.0,67681.0,86541.0,67681.0,86540.0,67681.0,86573.0,67681.0,86331.0,67681.0,86563.0,67681.0,86323.0,67681.0,86545.0,67681.0,86547.0,67681.0,86327.0,67681.0,86546.0,67681.0,86443.0,67681.0,86343.0,67681.0,86324.0,67681.0,86313.0,67681.0,86328.0,67681.0,86339.0,67681.0,86338.0,67681.0,86335.0,67681.0,86329.0,67681.0,86326.0,67681.0,86321.0,67681.0,86441.0,67681.0,86337.0,67681.0,86330.0,67681.0,86332.0,67681.0,86438.0,67681.0,86333.0,67681.0,86487.0,67681.0,86439.0,67681.0,86565.0,67681.0,86334.0,67681.0,86340.0,67681.0,86325.0,67681.0,86554.0,67681.0,86446.0,67681.0,86448.0,67681.0,86447.0,67681.0,86564.0,67681.0,86449.0,67681.0,86570.0,67681.0,86542.0,67681.0,86452.0,67681.0,86336.0,67681.0,86360.0,67681.0,86558.0,67681.0,86485.0,67681.0,86440.0,67681.0,86486.0,67681.0,86459.0,67681.0,86544.0,67681.0,86543.0,67681.0,86453.0,67681.0,84746.0,67681.0,86490.0,67681.0,86492.0,67681.0,86491.0,67681.0,86498.0,67681.0,86450.0,67681.0,86442.0,67681.0,86493.0,67681.0,86497.0,67681.0,86461.0,67681.0,86463.0,67681.0,86495.0,67681.0,86499.0,67681.0,86516.0,67681.0,86510.0,67681.0,86500.0,67681.0,86465.0,67681.0,86467.0,67681.0,86515.0,67681.0,86503.0,67681.0,86522.0,67681.0,86521.0,67681.0,86530.0,67681.0,86526.0,67681.0,86520.0,67681.0,86527.0,67681.0,86531.0,67681.0,86469.0,67681.0,86523.0,67681.0,86529.0,67681.0,86511.0,67681.0,86512.0,67681.0,86513.0,67681.0,86477.0,67681.0,86501.0,67681.0,86524.0,67681.0,86517.0,67681.0,86468.0,67681.0,86479.0,67681.0,86533.0,67681.0,86473.0,67681.0,86475.0,67681.0,86488.0,67681.0,86474.0,67681.0,86534.0,67681.0,86462.0,67681.0,86514.0,67681.0,86509.0,67681.0,86504.0,67681.0,86470.0,67681.0,86505.0,67681.0,86464.0,67681.0,86494.0,67681.0,86496.0,67681.0,86489.0,67681.0,86476.0,67681.0,86480.0,67681.0,86481.0,67681.0,86528.0,67681.0,86532.0,67681.0,86525.0,67681.0,86478.0,67681.0,86471.0,67681.0,86472.0,67681.0,86502.0,67681.0,86506.0,67681.0,86508.0,67681.0,86466.0,67681.0,86460.0,67681.0')] ).
cnf(113152,plain,
$false,
inference(obv,[status(thm),theory(equality)],[113151]),
[iquote('0:Obv:113151.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : TOP052-1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun May 29 09:46:11 EDT 2022
% 0.08/0.28 % CPUTime :
% 193.57/193.77
% 193.57/193.77 SPASS V 3.9
% 193.57/193.77 SPASS beiseite: Proof found.
% 193.57/193.77 % SZS status Theorem
% 193.57/193.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 193.57/193.77 SPASS derived 61566 clauses, backtracked 0 clauses, performed 0 splits and kept 24806 clauses.
% 193.57/193.77 SPASS allocated 169313 KBytes.
% 193.57/193.77 SPASS spent 0:3:13.34 on the problem.
% 193.57/193.77 0:00:00.03 for the input.
% 193.57/193.77 0:00:00.00 for the FLOTTER CNF translation.
% 193.57/193.77 0:00:00.55 for inferences.
% 193.57/193.77 0:00:00.00 for the backtracking.
% 193.57/193.77 0:3:12.12 for the reduction.
% 193.57/193.77
% 193.57/193.77
% 193.57/193.77 Here is a proof with depth 18, length 2206 :
% 193.57/193.77 % SZS output start Refutation
% See solution above
% 193.57/193.78 Formulae used in the proof : involutory_quandle involutory_quandle_01 involutory_quandle_02 knot knot_03 knot_04 knot_05 knot_06 knot_07 knot_08 knot_09 knot_10 knot_11 knot_12 knot_13 knot_14 knot_15 knot_16 knot_18 knot_19 knot_20 knot_21 knot_22 knot_23 knot_24 knot_25 knot_26 knot_27 knot_28 knot_29 knot_30 knot_31 knot_32 knot_33 knot_34 knot_35 knot_36 knot_37 knot_38 knot_39 knot_40 knot_41 knot_42 knot_43 knot_44 knot_45 knot_46 knot_47 knot_48 knot_49 knot_50 knot_51 knot_52 knot_53 knot_54 knot_55 knot_56 knot_57 knot_58 knot_59 knot_60 knot_61 knot_62 knot_63 knot_64 knot_65 knot_66 knot_67 knot_68 knot_69 knot_70 knot_71 knot_72 knot_73 knot_74 knot_75 knot_76 knot_77 knot_78 knot_79 knot_80 knot_81 knot_82 knot_83 knot_84 knot_85 knot_86 knot_87 knot_88 knot_89 knot_90 knot_91 knot_92 knot_93 knot_94 knot_95 knot_96 knot_97 knot_98 knot_99 knot_100 knot_101 knot_102 knot_103 knot_104 knot_105 knot_106 knot_107 knot_108 knot_109 knot_110 knot_111 knot_112 knot_113 knot_114 knot_115 knot_116 knot_117 knot_118 knot_119 knot_120 knot_121 knot_122 knot_123 knot_124 knot_125 knot_126 knot_127 knot_128 knot_129 knot_130 knot_131 knot_132 knot_133 knot_134 knot_135 knot_136 knot_137 knot_138 knot_139 knot_140 knot_141 knot_142 goal
% 198.02/198.23
%------------------------------------------------------------------------------