TSTP Solution File: ALG050+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG050+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 14 18:02:07 EDT 2022
% Result : Theorem 1.09s 1.30s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 258
% Syntax : Number of clauses : 823 ( 507 unt; 238 nHn; 823 RR)
% Number of literals : 1776 ( 0 equ; 663 neg)
% Maximal clause size : 30 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 25 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e11,e10),
file('ALG050+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG050+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG050+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e14,e10),
file('ALG050+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e12,e11),
file('ALG050+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e11),
file('ALG050+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e14,e11),
file('ALG050+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e13,e12),
file('ALG050+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e14,e12),
file('ALG050+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e14,e13),
file('ALG050+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e21,e20),
file('ALG050+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e22,e20),
file('ALG050+1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(e23,e20),
file('ALG050+1.p',unknown),
[] ).
cnf(14,axiom,
~ equal(e24,e20),
file('ALG050+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(e22,e21),
file('ALG050+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(e23,e21),
file('ALG050+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(e24,e21),
file('ALG050+1.p',unknown),
[] ).
cnf(18,axiom,
~ equal(e23,e22),
file('ALG050+1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(e24,e22),
file('ALG050+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(e24,e23),
file('ALG050+1.p',unknown),
[] ).
cnf(47,axiom,
equal(h2(e12),e21),
file('ALG050+1.p',unknown),
[] ).
cnf(51,axiom,
equal(op1(unit1,e10),e10),
file('ALG050+1.p',unknown),
[] ).
cnf(52,axiom,
equal(op1(e10,unit1),e10),
file('ALG050+1.p',unknown),
[] ).
cnf(53,axiom,
equal(op1(unit1,e11),e11),
file('ALG050+1.p',unknown),
[] ).
cnf(54,axiom,
equal(op1(e11,unit1),e11),
file('ALG050+1.p',unknown),
[] ).
cnf(55,axiom,
equal(op1(unit1,e12),e12),
file('ALG050+1.p',unknown),
[] ).
cnf(56,axiom,
equal(op1(e12,unit1),e12),
file('ALG050+1.p',unknown),
[] ).
cnf(57,axiom,
equal(op1(unit1,e13),e13),
file('ALG050+1.p',unknown),
[] ).
cnf(58,axiom,
equal(op1(e13,unit1),e13),
file('ALG050+1.p',unknown),
[] ).
cnf(59,axiom,
equal(op1(unit1,e14),e14),
file('ALG050+1.p',unknown),
[] ).
cnf(60,axiom,
equal(op1(e14,unit1),e14),
file('ALG050+1.p',unknown),
[] ).
cnf(61,axiom,
equal(op2(unit2,e20),e20),
file('ALG050+1.p',unknown),
[] ).
cnf(62,axiom,
equal(op2(e20,unit2),e20),
file('ALG050+1.p',unknown),
[] ).
cnf(63,axiom,
equal(op2(unit2,e21),e21),
file('ALG050+1.p',unknown),
[] ).
cnf(64,axiom,
equal(op2(e21,unit2),e21),
file('ALG050+1.p',unknown),
[] ).
cnf(65,axiom,
equal(op2(unit2,e22),e22),
file('ALG050+1.p',unknown),
[] ).
cnf(66,axiom,
equal(op2(e22,unit2),e22),
file('ALG050+1.p',unknown),
[] ).
cnf(67,axiom,
equal(op2(unit2,e23),e23),
file('ALG050+1.p',unknown),
[] ).
cnf(68,axiom,
equal(op2(e23,unit2),e23),
file('ALG050+1.p',unknown),
[] ).
cnf(69,axiom,
equal(op2(unit2,e24),e24),
file('ALG050+1.p',unknown),
[] ).
cnf(70,axiom,
equal(op2(e24,unit2),e24),
file('ALG050+1.p',unknown),
[] ).
cnf(71,axiom,
equal(op1(e12,e12),e14),
file('ALG050+1.p',unknown),
[] ).
cnf(72,axiom,
equal(op2(e22,e22),e24),
file('ALG050+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ equal(h2(e10),e20)
| skC44 ),
file('ALG050+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ equal(h2(e12),e21)
| skC45 ),
file('ALG050+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ equal(h2(e13),e22)
| skC46 ),
file('ALG050+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ equal(h2(e11),e23)
| skC47 ),
file('ALG050+1.p',unknown),
[] ).
cnf(173,axiom,
equal(op2(e20,e20),h1(e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(174,axiom,
equal(op2(e21,e21),h2(e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(176,axiom,
equal(op2(e23,e23),h4(e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(177,axiom,
equal(op2(e24,e24),h5(e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(178,axiom,
equal(op1(e12,op1(e12,e12)),e13),
file('ALG050+1.p',unknown),
[] ).
cnf(179,axiom,
equal(op2(e22,op2(e22,e22)),e23),
file('ALG050+1.p',unknown),
[] ).
cnf(181,axiom,
~ equal(op1(e12,e10),op1(e10,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(184,axiom,
~ equal(op1(e12,e10),op1(e11,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(185,axiom,
~ equal(op1(e13,e10),op1(e11,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(187,axiom,
~ equal(op1(e13,e10),op1(e12,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(188,axiom,
~ equal(op1(e14,e10),op1(e12,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(191,axiom,
~ equal(op1(e12,e11),op1(e10,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(192,axiom,
~ equal(op1(e13,e11),op1(e10,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(194,axiom,
~ equal(op1(e12,e11),op1(e11,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(195,axiom,
~ equal(op1(e13,e11),op1(e11,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(197,axiom,
~ equal(op1(e13,e11),op1(e12,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(199,axiom,
~ equal(op1(e14,e11),op1(e13,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(202,axiom,
~ equal(op1(e13,e12),op1(e10,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(203,axiom,
~ equal(op1(e14,e12),op1(e10,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(204,axiom,
~ equal(op1(e12,e12),op1(e11,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(205,axiom,
~ equal(op1(e13,e12),op1(e11,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(207,axiom,
~ equal(op1(e13,e12),op1(e12,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(208,axiom,
~ equal(op1(e14,e12),op1(e12,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(209,axiom,
~ equal(op1(e14,e12),op1(e13,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(210,axiom,
~ equal(op1(e11,e13),op1(e10,e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(212,axiom,
~ equal(op1(e13,e13),op1(e10,e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(219,axiom,
~ equal(op1(e14,e13),op1(e13,e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(220,axiom,
~ equal(op1(e11,e14),op1(e10,e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(221,axiom,
~ equal(op1(e12,e14),op1(e10,e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(222,axiom,
~ equal(op1(e13,e14),op1(e10,e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(223,axiom,
~ equal(op1(e14,e14),op1(e10,e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(224,axiom,
~ equal(op1(e12,e14),op1(e11,e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(226,axiom,
~ equal(op1(e14,e14),op1(e11,e14)),
file('ALG050+1.p',unknown),
[] ).
cnf(231,axiom,
~ equal(op1(e10,e12),op1(e10,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(237,axiom,
~ equal(op1(e10,e13),op1(e10,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(241,axiom,
~ equal(op1(e11,e12),op1(e11,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(243,axiom,
~ equal(op1(e11,e14),op1(e11,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(248,axiom,
~ equal(op1(e11,e14),op1(e11,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(249,axiom,
~ equal(op1(e11,e14),op1(e11,e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(251,axiom,
~ equal(op1(e12,e12),op1(e12,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(252,axiom,
~ equal(op1(e12,e13),op1(e12,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(253,axiom,
~ equal(op1(e12,e14),op1(e12,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(256,axiom,
~ equal(op1(e12,e14),op1(e12,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(260,axiom,
~ equal(op1(e13,e11),op1(e13,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(261,axiom,
~ equal(op1(e13,e12),op1(e13,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(262,axiom,
~ equal(op1(e13,e13),op1(e13,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(263,axiom,
~ equal(op1(e13,e14),op1(e13,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(264,axiom,
~ equal(op1(e13,e12),op1(e13,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(265,axiom,
~ equal(op1(e13,e13),op1(e13,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(266,axiom,
~ equal(op1(e13,e14),op1(e13,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(267,axiom,
~ equal(op1(e13,e13),op1(e13,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(268,axiom,
~ equal(op1(e13,e14),op1(e13,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(269,axiom,
~ equal(op1(e13,e14),op1(e13,e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(270,axiom,
~ equal(op1(e14,e11),op1(e14,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(271,axiom,
~ equal(op1(e14,e12),op1(e14,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(272,axiom,
~ equal(op1(e14,e13),op1(e14,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(273,axiom,
~ equal(op1(e14,e14),op1(e14,e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(274,axiom,
~ equal(op1(e14,e12),op1(e14,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(275,axiom,
~ equal(op1(e14,e13),op1(e14,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(276,axiom,
~ equal(op1(e14,e14),op1(e14,e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(278,axiom,
~ equal(op1(e14,e14),op1(e14,e12)),
file('ALG050+1.p',unknown),
[] ).
cnf(281,axiom,
~ equal(op2(e22,e20),op2(e20,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(284,axiom,
~ equal(op2(e22,e20),op2(e21,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(285,axiom,
~ equal(op2(e23,e20),op2(e21,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(287,axiom,
~ equal(op2(e23,e20),op2(e22,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(288,axiom,
~ equal(op2(e24,e20),op2(e22,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(291,axiom,
~ equal(op2(e22,e21),op2(e20,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(292,axiom,
~ equal(op2(e23,e21),op2(e20,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(294,axiom,
~ equal(op2(e22,e21),op2(e21,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(296,axiom,
~ equal(op2(e24,e21),op2(e21,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(299,axiom,
~ equal(op2(e24,e21),op2(e23,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(302,axiom,
~ equal(op2(e23,e22),op2(e20,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(303,axiom,
~ equal(op2(e24,e22),op2(e20,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(305,axiom,
~ equal(op2(e23,e22),op2(e21,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(307,axiom,
~ equal(op2(e23,e22),op2(e22,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(308,axiom,
~ equal(op2(e24,e22),op2(e22,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(309,axiom,
~ equal(op2(e24,e22),op2(e23,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(310,axiom,
~ equal(op2(e21,e23),op2(e20,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(312,axiom,
~ equal(op2(e23,e23),op2(e20,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(313,axiom,
~ equal(op2(e24,e23),op2(e20,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(319,axiom,
~ equal(op2(e24,e23),op2(e23,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(320,axiom,
~ equal(op2(e21,e24),op2(e20,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(321,axiom,
~ equal(op2(e22,e24),op2(e20,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(322,axiom,
~ equal(op2(e23,e24),op2(e20,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(323,axiom,
~ equal(op2(e24,e24),op2(e20,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(324,axiom,
~ equal(op2(e22,e24),op2(e21,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(325,axiom,
~ equal(op2(e23,e24),op2(e21,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(326,axiom,
~ equal(op2(e24,e24),op2(e21,e24)),
file('ALG050+1.p',unknown),
[] ).
cnf(331,axiom,
~ equal(op2(e20,e22),op2(e20,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(337,axiom,
~ equal(op2(e20,e23),op2(e20,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(341,axiom,
~ equal(op2(e21,e22),op2(e21,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(343,axiom,
~ equal(op2(e21,e24),op2(e21,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(348,axiom,
~ equal(op2(e21,e24),op2(e21,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(349,axiom,
~ equal(op2(e21,e24),op2(e21,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(350,axiom,
~ equal(op2(e22,e21),op2(e22,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(351,axiom,
~ equal(op2(e22,e22),op2(e22,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(352,axiom,
~ equal(op2(e22,e23),op2(e22,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(353,axiom,
~ equal(op2(e22,e24),op2(e22,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(354,axiom,
~ equal(op2(e22,e22),op2(e22,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(355,axiom,
~ equal(op2(e22,e23),op2(e22,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(356,axiom,
~ equal(op2(e22,e24),op2(e22,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(357,axiom,
~ equal(op2(e22,e23),op2(e22,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(359,axiom,
~ equal(op2(e22,e24),op2(e22,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(360,axiom,
~ equal(op2(e23,e21),op2(e23,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(361,axiom,
~ equal(op2(e23,e22),op2(e23,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(362,axiom,
~ equal(op2(e23,e23),op2(e23,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(363,axiom,
~ equal(op2(e23,e24),op2(e23,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(364,axiom,
~ equal(op2(e23,e22),op2(e23,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(365,axiom,
~ equal(op2(e23,e23),op2(e23,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(367,axiom,
~ equal(op2(e23,e23),op2(e23,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(368,axiom,
~ equal(op2(e23,e24),op2(e23,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(369,axiom,
~ equal(op2(e23,e24),op2(e23,e23)),
file('ALG050+1.p',unknown),
[] ).
cnf(370,axiom,
~ equal(op2(e24,e21),op2(e24,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(371,axiom,
~ equal(op2(e24,e22),op2(e24,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(372,axiom,
~ equal(op2(e24,e23),op2(e24,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(373,axiom,
~ equal(op2(e24,e24),op2(e24,e20)),
file('ALG050+1.p',unknown),
[] ).
cnf(374,axiom,
~ equal(op2(e24,e22),op2(e24,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(375,axiom,
~ equal(op2(e24,e23),op2(e24,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(376,axiom,
~ equal(op2(e24,e24),op2(e24,e21)),
file('ALG050+1.p',unknown),
[] ).
cnf(378,axiom,
~ equal(op2(e24,e24),op2(e24,e22)),
file('ALG050+1.p',unknown),
[] ).
cnf(380,axiom,
equal(op2(e20,op2(e20,e20)),h1(e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(381,axiom,
equal(op2(e21,op2(e21,e21)),h2(e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(383,axiom,
equal(op2(e23,op2(e23,e23)),h4(e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(384,axiom,
equal(op2(e24,op2(e24,e24)),h5(e13)),
file('ALG050+1.p',unknown),
[] ).
cnf(385,axiom,
( ~ skC0
| equal(op1(e10,op1(e10,e10)),e10) ),
file('ALG050+1.p',unknown),
[] ).
cnf(387,axiom,
( ~ skC2
| equal(op1(e10,op1(e12,e10)),e12) ),
file('ALG050+1.p',unknown),
[] ).
cnf(401,axiom,
( ~ skC16
| equal(op1(e14,op1(e10,e14)),e10) ),
file('ALG050+1.p',unknown),
[] ).
cnf(402,axiom,
( ~ skC17
| equal(op1(e14,op1(e11,e14)),e11) ),
file('ALG050+1.p',unknown),
[] ).
cnf(403,axiom,
( ~ skC18
| equal(op1(e14,op1(e12,e14)),e12) ),
file('ALG050+1.p',unknown),
[] ).
cnf(404,axiom,
( ~ skC19
| equal(op1(e14,op1(e13,e14)),e13) ),
file('ALG050+1.p',unknown),
[] ).
cnf(405,axiom,
( ~ skC20
| equal(op2(e20,op2(e20,e20)),e20) ),
file('ALG050+1.p',unknown),
[] ).
cnf(407,axiom,
( ~ skC22
| equal(op2(e20,op2(e22,e20)),e22) ),
file('ALG050+1.p',unknown),
[] ).
cnf(418,axiom,
( ~ skC33
| equal(op2(e23,op2(e21,e23)),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(419,axiom,
( ~ skC34
| equal(op2(e23,op2(e22,e23)),e22) ),
file('ALG050+1.p',unknown),
[] ).
cnf(420,axiom,
( ~ skC35
| equal(op2(e23,op2(e23,e23)),e23) ),
file('ALG050+1.p',unknown),
[] ).
cnf(421,axiom,
( ~ skC36
| equal(op2(e24,op2(e20,e24)),e20) ),
file('ALG050+1.p',unknown),
[] ).
cnf(422,axiom,
( ~ skC37
| equal(op2(e24,op2(e21,e24)),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(423,axiom,
( ~ skC38
| equal(op2(e24,op2(e22,e24)),e22) ),
file('ALG050+1.p',unknown),
[] ).
cnf(424,axiom,
( ~ skC39
| equal(op2(e24,op2(e23,e24)),e23) ),
file('ALG050+1.p',unknown),
[] ).
cnf(425,axiom,
equal(op1(op1(e12,e12),op1(e12,e12)),e10),
file('ALG050+1.p',unknown),
[] ).
cnf(426,axiom,
equal(op2(op2(e22,e22),op2(e22,e22)),e20),
file('ALG050+1.p',unknown),
[] ).
cnf(427,axiom,
( ~ equal(op1(e10,op1(e10,e10)),e10)
| ~ skC0 ),
file('ALG050+1.p',unknown),
[] ).
cnf(428,axiom,
( ~ skC1
| ~ equal(op1(e11,op1(e11,e10)),e10) ),
file('ALG050+1.p',unknown),
[] ).
cnf(430,axiom,
( ~ skC3
| ~ equal(op1(e13,op1(e13,e10)),e10) ),
file('ALG050+1.p',unknown),
[] ).
cnf(447,axiom,
( ~ equal(op2(e20,op2(e20,e20)),e20)
| ~ skC20 ),
file('ALG050+1.p',unknown),
[] ).
cnf(448,axiom,
( ~ skC21
| ~ equal(op2(e21,op2(e21,e20)),e20) ),
file('ALG050+1.p',unknown),
[] ).
cnf(450,axiom,
( ~ skC23
| ~ equal(op2(e23,op2(e23,e20)),e20) ),
file('ALG050+1.p',unknown),
[] ).
cnf(459,axiom,
( ~ skC32
| ~ equal(op2(e20,op2(e20,e23)),e23) ),
file('ALG050+1.p',unknown),
[] ).
cnf(462,axiom,
( ~ equal(op2(e23,op2(e23,e23)),e23)
| ~ skC35 ),
file('ALG050+1.p',unknown),
[] ).
cnf(468,axiom,
equal(op2(op2(e21,e21),op2(e21,e21)),h2(e10)),
file('ALG050+1.p',unknown),
[] ).
cnf(472,axiom,
( equal(op1(e10,op1(e14,e10)),e14)
| skC0
| skC1
| skC2
| skC3 ),
file('ALG050+1.p',unknown),
[] ).
cnf(476,axiom,
( equal(op1(e14,op1(e14,e14)),e14)
| skC16
| skC17
| skC18
| skC19 ),
file('ALG050+1.p',unknown),
[] ).
cnf(477,axiom,
( equal(op2(e20,op2(e24,e20)),e24)
| skC20
| skC21
| skC22
| skC23 ),
file('ALG050+1.p',unknown),
[] ).
cnf(480,axiom,
( equal(op2(e23,op2(e24,e23)),e24)
| skC32
| skC33
| skC34
| skC35 ),
file('ALG050+1.p',unknown),
[] ).
cnf(481,axiom,
( equal(op2(e24,op2(e24,e24)),e24)
| skC36
| skC37
| skC38
| skC39 ),
file('ALG050+1.p',unknown),
[] ).
cnf(482,axiom,
equal(op1(op1(e12,op1(e12,e12)),op1(e12,e12)),e11),
file('ALG050+1.p',unknown),
[] ).
cnf(483,axiom,
equal(op2(op2(e22,op2(e22,e22)),op2(e22,e22)),e21),
file('ALG050+1.p',unknown),
[] ).
cnf(488,axiom,
( ~ equal(op1(e14,op1(e14,e14)),e14)
| skC16
| skC17
| skC18
| skC19 ),
file('ALG050+1.p',unknown),
[] ).
cnf(493,axiom,
( ~ equal(op2(e24,op2(e24,e24)),e24)
| skC36
| skC37
| skC38
| skC39 ),
file('ALG050+1.p',unknown),
[] ).
cnf(495,axiom,
equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),h2(e11)),
file('ALG050+1.p',unknown),
[] ).
cnf(499,axiom,
( equal(e14,unit1)
| equal(e13,unit1)
| equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
file('ALG050+1.p',unknown),
[] ).
cnf(500,axiom,
( equal(e24,unit2)
| equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2)
| equal(e20,unit2) ),
file('ALG050+1.p',unknown),
[] ).
cnf(504,axiom,
( equal(op2(e24,e20),e23)
| equal(op2(e24,e21),e23)
| equal(op2(e24,e22),e23)
| equal(op2(e24,e23),e23)
| equal(op2(e24,e24),e23) ),
file('ALG050+1.p',unknown),
[] ).
cnf(506,axiom,
( equal(op2(e24,e20),e22)
| equal(op2(e24,e21),e22)
| equal(op2(e24,e22),e22)
| equal(op2(e24,e23),e22)
| equal(op2(e24,e24),e22) ),
file('ALG050+1.p',unknown),
[] ).
cnf(517,axiom,
( equal(op2(e20,e23),e21)
| equal(op2(e21,e23),e21)
| equal(op2(e22,e23),e21)
| equal(op2(e23,e23),e21)
| equal(op2(e24,e23),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(525,axiom,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e23,e22),e22)
| equal(op2(e24,e22),e22) ),
file('ALG050+1.p',unknown),
[] ).
cnf(527,axiom,
( equal(op2(e20,e22),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e23,e22),e21)
| equal(op2(e24,e22),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(528,axiom,
( equal(op2(e22,e20),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e22,e23),e21)
| equal(op2(e22,e24),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(530,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e22,e23),e20)
| equal(op2(e22,e24),e20) ),
file('ALG050+1.p',unknown),
[] ).
cnf(531,axiom,
( equal(op2(e20,e21),e24)
| equal(op2(e21,e21),e24)
| equal(op2(e22,e21),e24)
| equal(op2(e23,e21),e24)
| equal(op2(e24,e21),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(534,axiom,
( equal(op2(e21,e20),e23)
| equal(op2(e21,e21),e23)
| equal(op2(e21,e22),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e21,e24),e23) ),
file('ALG050+1.p',unknown),
[] ).
cnf(540,axiom,
( equal(op2(e21,e20),e20)
| equal(op2(e21,e21),e20)
| equal(op2(e21,e22),e20)
| equal(op2(e21,e23),e20)
| equal(op2(e21,e24),e20) ),
file('ALG050+1.p',unknown),
[] ).
cnf(547,axiom,
( equal(op2(e20,e20),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e22,e20),e21)
| equal(op2(e23,e20),e21)
| equal(op2(e24,e20),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(548,axiom,
( equal(op2(e20,e20),e21)
| equal(op2(e20,e21),e21)
| equal(op2(e20,e22),e21)
| equal(op2(e20,e23),e21)
| equal(op2(e20,e24),e21) ),
file('ALG050+1.p',unknown),
[] ).
cnf(553,axiom,
( equal(op2(e24,e22),e20)
| equal(op2(e24,e22),e21)
| equal(op2(e24,e22),e22)
| equal(op2(e24,e22),e23)
| equal(op2(e24,e22),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(554,axiom,
( equal(op2(e24,e21),e20)
| equal(op2(e24,e21),e21)
| equal(op2(e24,e21),e22)
| equal(op2(e24,e21),e23)
| equal(op2(e24,e21),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(555,axiom,
( equal(op2(e24,e20),e20)
| equal(op2(e24,e20),e21)
| equal(op2(e24,e20),e22)
| equal(op2(e24,e20),e23)
| equal(op2(e24,e20),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(557,axiom,
( equal(op2(e23,e23),e20)
| equal(op2(e23,e23),e21)
| equal(op2(e23,e23),e22)
| equal(op2(e23,e23),e23)
| equal(op2(e23,e23),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(558,axiom,
( equal(op2(e23,e22),e20)
| equal(op2(e23,e22),e21)
| equal(op2(e23,e22),e22)
| equal(op2(e23,e22),e23)
| equal(op2(e23,e22),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(560,axiom,
( equal(op2(e23,e20),e20)
| equal(op2(e23,e20),e21)
| equal(op2(e23,e20),e22)
| equal(op2(e23,e20),e23)
| equal(op2(e23,e20),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(562,axiom,
( equal(op2(e22,e23),e20)
| equal(op2(e22,e23),e21)
| equal(op2(e22,e23),e22)
| equal(op2(e22,e23),e23)
| equal(op2(e22,e23),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(564,axiom,
( equal(op2(e22,e21),e20)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e23)
| equal(op2(e22,e21),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(565,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e20),e21)
| equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e23)
| equal(op2(e22,e20),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(566,axiom,
( equal(op2(e21,e24),e20)
| equal(op2(e21,e24),e21)
| equal(op2(e21,e24),e22)
| equal(op2(e21,e24),e23)
| equal(op2(e21,e24),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(571,axiom,
( equal(op2(e20,e24),e20)
| equal(op2(e20,e24),e21)
| equal(op2(e20,e24),e22)
| equal(op2(e20,e24),e23)
| equal(op2(e20,e24),e24) ),
file('ALG050+1.p',unknown),
[] ).
cnf(580,axiom,
( equal(op1(e10,e14),e12)
| equal(op1(e11,e14),e12)
| equal(op1(e12,e14),e12)
| equal(op1(e13,e14),e12)
| equal(op1(e14,e14),e12) ),
file('ALG050+1.p',unknown),
[] ).
cnf(581,axiom,
( equal(op1(e14,e10),e12)
| equal(op1(e14,e11),e12)
| equal(op1(e14,e12),e12)
| equal(op1(e14,e13),e12)
| equal(op1(e14,e14),e12) ),
file('ALG050+1.p',unknown),
[] ).
cnf(587,axiom,
( equal(op1(e13,e10),e14)
| equal(op1(e13,e11),e14)
| equal(op1(e13,e12),e14)
| equal(op1(e13,e13),e14)
| equal(op1(e13,e14),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(592,axiom,
( equal(op1(e10,e13),e11)
| equal(op1(e11,e13),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e13,e13),e11)
| equal(op1(e14,e13),e11) ),
file('ALG050+1.p',unknown),
[] ).
cnf(600,axiom,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12)
| equal(op1(e14,e12),e12) ),
file('ALG050+1.p',unknown),
[] ).
cnf(602,axiom,
( equal(op1(e10,e12),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e13,e12),e11)
| equal(op1(e14,e12),e11) ),
file('ALG050+1.p',unknown),
[] ).
cnf(603,axiom,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e14),e11) ),
file('ALG050+1.p',unknown),
[] ).
cnf(605,axiom,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e12,e13),e10)
| equal(op1(e12,e14),e10) ),
file('ALG050+1.p',unknown),
[] ).
cnf(607,axiom,
( equal(op1(e11,e10),e14)
| equal(op1(e11,e11),e14)
| equal(op1(e11,e12),e14)
| equal(op1(e11,e13),e14)
| equal(op1(e11,e14),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(608,axiom,
( equal(op1(e10,e11),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e13,e11),e13)
| equal(op1(e14,e11),e13) ),
file('ALG050+1.p',unknown),
[] ).
cnf(609,axiom,
( equal(op1(e11,e10),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e11,e12),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e11,e14),e13) ),
file('ALG050+1.p',unknown),
[] ).
cnf(615,axiom,
( equal(op1(e11,e10),e10)
| equal(op1(e11,e11),e10)
| equal(op1(e11,e12),e10)
| equal(op1(e11,e13),e10)
| equal(op1(e11,e14),e10) ),
file('ALG050+1.p',unknown),
[] ).
cnf(616,axiom,
( equal(op1(e10,e10),e14)
| equal(op1(e11,e10),e14)
| equal(op1(e12,e10),e14)
| equal(op1(e13,e10),e14)
| equal(op1(e14,e10),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(618,axiom,
( equal(op1(e10,e10),e13)
| equal(op1(e11,e10),e13)
| equal(op1(e12,e10),e13)
| equal(op1(e13,e10),e13)
| equal(op1(e14,e10),e13) ),
file('ALG050+1.p',unknown),
[] ).
cnf(622,axiom,
( equal(op1(e10,e10),e11)
| equal(op1(e11,e10),e11)
| equal(op1(e12,e10),e11)
| equal(op1(e13,e10),e11)
| equal(op1(e14,e10),e11) ),
file('ALG050+1.p',unknown),
[] ).
cnf(623,axiom,
( equal(op1(e10,e10),e11)
| equal(op1(e10,e11),e11)
| equal(op1(e10,e12),e11)
| equal(op1(e10,e13),e11)
| equal(op1(e10,e14),e11) ),
file('ALG050+1.p',unknown),
[] ).
cnf(628,axiom,
( equal(op1(e14,e12),e10)
| equal(op1(e14,e12),e11)
| equal(op1(e14,e12),e12)
| equal(op1(e14,e12),e13)
| equal(op1(e14,e12),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(629,axiom,
( equal(op1(e14,e11),e10)
| equal(op1(e14,e11),e11)
| equal(op1(e14,e11),e12)
| equal(op1(e14,e11),e13)
| equal(op1(e14,e11),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(630,axiom,
( equal(op1(e14,e10),e10)
| equal(op1(e14,e10),e11)
| equal(op1(e14,e10),e12)
| equal(op1(e14,e10),e13)
| equal(op1(e14,e10),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(632,axiom,
( equal(op1(e13,e13),e10)
| equal(op1(e13,e13),e11)
| equal(op1(e13,e13),e12)
| equal(op1(e13,e13),e13)
| equal(op1(e13,e13),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(633,axiom,
( equal(op1(e13,e12),e10)
| equal(op1(e13,e12),e11)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e13)
| equal(op1(e13,e12),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(634,axiom,
( equal(op1(e13,e11),e10)
| equal(op1(e13,e11),e11)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e11),e13)
| equal(op1(e13,e11),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(635,axiom,
( equal(op1(e13,e10),e10)
| equal(op1(e13,e10),e11)
| equal(op1(e13,e10),e12)
| equal(op1(e13,e10),e13)
| equal(op1(e13,e10),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(640,axiom,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e10),e11)
| equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e13)
| equal(op1(e12,e10),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(646,axiom,
( equal(op1(e10,e14),e10)
| equal(op1(e10,e14),e11)
| equal(op1(e10,e14),e12)
| equal(op1(e10,e14),e13)
| equal(op1(e10,e14),e14) ),
file('ALG050+1.p',unknown),
[] ).
cnf(666,axiom,
( ~ equal(h2(e14),e24)
| ~ equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10)))
| ~ equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11)))
| ~ equal(op2(h2(e10),h2(e12)),h2(op1(e10,e12)))
| ~ equal(op2(h2(e10),h2(e13)),h2(op1(e10,e13)))
| ~ equal(op2(h2(e10),h2(e14)),h2(op1(e10,e14)))
| ~ equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10)))
| ~ equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11)))
| ~ equal(op2(h2(e11),h2(e12)),h2(op1(e11,e12)))
| ~ equal(op2(h2(e11),h2(e13)),h2(op1(e11,e13)))
| ~ equal(op2(h2(e11),h2(e14)),h2(op1(e11,e14)))
| ~ equal(op2(h2(e12),h2(e10)),h2(op1(e12,e10)))
| ~ equal(op2(h2(e12),h2(e11)),h2(op1(e12,e11)))
| ~ equal(op2(h2(e12),h2(e12)),h2(op1(e12,e12)))
| ~ equal(op2(h2(e12),h2(e13)),h2(op1(e12,e13)))
| ~ equal(op2(h2(e12),h2(e14)),h2(op1(e12,e14)))
| ~ equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10)))
| ~ equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))
| ~ equal(op2(h2(e13),h2(e12)),h2(op1(e13,e12)))
| ~ equal(op2(h2(e13),h2(e13)),h2(op1(e13,e13)))
| ~ equal(op2(h2(e13),h2(e14)),h2(op1(e13,e14)))
| ~ equal(op2(h2(e14),h2(e10)),h2(op1(e14,e10)))
| ~ equal(op2(h2(e14),h2(e11)),h2(op1(e14,e11)))
| ~ equal(op2(h2(e14),h2(e12)),h2(op1(e14,e12)))
| ~ equal(op2(h2(e14),h2(e13)),h2(op1(e14,e13)))
| ~ equal(op2(h2(e14),h2(e14)),h2(op1(e14,e14)))
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47 ),
file('ALG050+1.p',unknown),
[] ).
cnf(697,plain,
( ~ equal(e21,e21)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[47,100]),
[iquote('0:Rew:47.0,100.0')] ).
cnf(698,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[697]),
[iquote('0:Obv:697.0')] ).
cnf(705,plain,
equal(op2(e22,e24),e23),
inference(rew,[status(thm),theory(equality)],[72,179]),
[iquote('0:Rew:72.0,179.0')] ).
cnf(706,plain,
equal(op1(e12,e14),e13),
inference(rew,[status(thm),theory(equality)],[71,178]),
[iquote('0:Rew:71.0,178.0')] ).
cnf(707,plain,
equal(op2(e24,h5(e14)),h5(e13)),
inference(rew,[status(thm),theory(equality)],[177,384]),
[iquote('0:Rew:177.0,384.0')] ).
cnf(708,plain,
equal(op2(e23,h4(e14)),h4(e13)),
inference(rew,[status(thm),theory(equality)],[176,383]),
[iquote('0:Rew:176.0,383.0')] ).
cnf(714,plain,
equal(op2(e21,h2(e14)),h2(e13)),
inference(rew,[status(thm),theory(equality)],[174,381]),
[iquote('0:Rew:174.0,381.0')] ).
cnf(715,plain,
equal(op2(e20,h1(e14)),h1(e13)),
inference(rew,[status(thm),theory(equality)],[173,380]),
[iquote('0:Rew:173.0,380.0')] ).
cnf(717,plain,
~ equal(op2(e24,e22),h5(e14)),
inference(rew,[status(thm),theory(equality)],[177,378]),
[iquote('0:Rew:177.0,378.0')] ).
cnf(718,plain,
~ equal(op2(e24,e21),h5(e14)),
inference(rew,[status(thm),theory(equality)],[177,376]),
[iquote('0:Rew:177.0,376.0')] ).
cnf(719,plain,
~ equal(op2(e24,e20),h5(e14)),
inference(rew,[status(thm),theory(equality)],[177,373]),
[iquote('0:Rew:177.0,373.0')] ).
cnf(720,plain,
~ equal(op2(e23,e24),h4(e14)),
inference(rew,[status(thm),theory(equality)],[176,369]),
[iquote('0:Rew:176.0,369.0')] ).
cnf(721,plain,
~ equal(op2(e23,e22),h4(e14)),
inference(rew,[status(thm),theory(equality)],[176,367]),
[iquote('0:Rew:176.0,367.0')] ).
cnf(722,plain,
~ equal(op2(e23,e21),h4(e14)),
inference(rew,[status(thm),theory(equality)],[176,365]),
[iquote('0:Rew:176.0,365.0')] ).
cnf(723,plain,
~ equal(op2(e23,e20),h4(e14)),
inference(rew,[status(thm),theory(equality)],[176,362]),
[iquote('0:Rew:176.0,362.0')] ).
cnf(724,plain,
~ equal(op2(e22,e23),e23),
inference(rew,[status(thm),theory(equality)],[705,359]),
[iquote('0:Rew:705.0,359.0')] ).
cnf(726,plain,
~ equal(op2(e22,e23),e24),
inference(rew,[status(thm),theory(equality)],[72,357]),
[iquote('0:Rew:72.0,357.0')] ).
cnf(727,plain,
~ equal(op2(e22,e21),e23),
inference(rew,[status(thm),theory(equality)],[705,356]),
[iquote('0:Rew:705.0,356.0')] ).
cnf(728,plain,
~ equal(op2(e22,e21),e24),
inference(rew,[status(thm),theory(equality)],[72,354]),
[iquote('0:Rew:72.0,354.0')] ).
cnf(729,plain,
~ equal(op2(e22,e20),e23),
inference(rew,[status(thm),theory(equality)],[705,353]),
[iquote('0:Rew:705.0,353.0')] ).
cnf(730,plain,
~ equal(op2(e22,e20),e24),
inference(rew,[status(thm),theory(equality)],[72,351]),
[iquote('0:Rew:72.0,351.0')] ).
cnf(737,plain,
~ equal(op2(e20,e22),h1(e14)),
inference(rew,[status(thm),theory(equality)],[173,331]),
[iquote('0:Rew:173.0,331.0')] ).
cnf(742,plain,
~ equal(op2(e21,e24),h5(e14)),
inference(rew,[status(thm),theory(equality)],[177,326]),
[iquote('0:Rew:177.0,326.0')] ).
cnf(743,plain,
~ equal(op2(e21,e24),e23),
inference(rew,[status(thm),theory(equality)],[705,324]),
[iquote('0:Rew:705.0,324.0')] ).
cnf(744,plain,
~ equal(op2(e20,e24),h5(e14)),
inference(rew,[status(thm),theory(equality)],[177,323]),
[iquote('0:Rew:177.0,323.0')] ).
cnf(745,plain,
~ equal(op2(e20,e24),e23),
inference(rew,[status(thm),theory(equality)],[705,321]),
[iquote('0:Rew:705.0,321.0')] ).
cnf(746,plain,
~ equal(op2(e24,e23),h4(e14)),
inference(rew,[status(thm),theory(equality)],[176,319]),
[iquote('0:Rew:176.0,319.0')] ).
cnf(749,plain,
~ equal(op2(e20,e23),h4(e14)),
inference(rew,[status(thm),theory(equality)],[176,312]),
[iquote('0:Rew:176.0,312.0')] ).
cnf(750,plain,
~ equal(op2(e24,e22),e24),
inference(rew,[status(thm),theory(equality)],[72,308]),
[iquote('0:Rew:72.0,308.0')] ).
cnf(751,plain,
~ equal(op2(e23,e22),e24),
inference(rew,[status(thm),theory(equality)],[72,307]),
[iquote('0:Rew:72.0,307.0')] ).
cnf(754,plain,
~ equal(op2(e24,e21),h2(e14)),
inference(rew,[status(thm),theory(equality)],[174,296]),
[iquote('0:Rew:174.0,296.0')] ).
cnf(756,plain,
~ equal(op2(e22,e21),h2(e14)),
inference(rew,[status(thm),theory(equality)],[174,294]),
[iquote('0:Rew:174.0,294.0')] ).
cnf(760,plain,
~ equal(op2(e22,e20),h1(e14)),
inference(rew,[status(thm),theory(equality)],[173,281]),
[iquote('0:Rew:173.0,281.0')] ).
cnf(765,plain,
~ equal(op1(e12,e11),e13),
inference(rew,[status(thm),theory(equality)],[706,256]),
[iquote('0:Rew:706.0,256.0')] ).
cnf(767,plain,
~ equal(op1(e12,e10),e13),
inference(rew,[status(thm),theory(equality)],[706,253]),
[iquote('0:Rew:706.0,253.0')] ).
cnf(768,plain,
~ equal(op1(e12,e10),e14),
inference(rew,[status(thm),theory(equality)],[71,251]),
[iquote('0:Rew:71.0,251.0')] ).
cnf(771,plain,
~ equal(op1(e11,e14),e13),
inference(rew,[status(thm),theory(equality)],[706,224]),
[iquote('0:Rew:706.0,224.0')] ).
cnf(772,plain,
~ equal(op1(e10,e14),e13),
inference(rew,[status(thm),theory(equality)],[706,221]),
[iquote('0:Rew:706.0,221.0')] ).
cnf(773,plain,
~ equal(op1(e14,e12),e14),
inference(rew,[status(thm),theory(equality)],[71,208]),
[iquote('0:Rew:71.0,208.0')] ).
cnf(774,plain,
~ equal(op1(e13,e12),e14),
inference(rew,[status(thm),theory(equality)],[71,207]),
[iquote('0:Rew:71.0,207.0')] ).
cnf(775,plain,
~ equal(op1(e11,e12),e14),
inference(rew,[status(thm),theory(equality)],[71,204]),
[iquote('0:Rew:71.0,204.0')] ).
cnf(777,plain,
equal(h5(e14),e20),
inference(rew,[status(thm),theory(equality)],[177,426,72]),
[iquote('0:Rew:177.0,426.0,72.0,426.0')] ).
cnf(778,plain,
equal(op2(e24,e24),e20),
inference(rew,[status(thm),theory(equality)],[777,177]),
[iquote('0:Rew:777.0,177.0')] ).
cnf(782,plain,
equal(op2(e24,e20),h5(e13)),
inference(rew,[status(thm),theory(equality)],[777,707]),
[iquote('0:Rew:777.0,707.0')] ).
cnf(784,plain,
~ equal(op2(e24,e22),e20),
inference(rew,[status(thm),theory(equality)],[777,717]),
[iquote('0:Rew:777.0,717.0')] ).
cnf(785,plain,
~ equal(op2(e24,e21),e20),
inference(rew,[status(thm),theory(equality)],[777,718]),
[iquote('0:Rew:777.0,718.0')] ).
cnf(786,plain,
~ equal(op2(e24,e20),e20),
inference(rew,[status(thm),theory(equality)],[777,719]),
[iquote('0:Rew:777.0,719.0')] ).
cnf(789,plain,
~ equal(op2(e21,e24),e20),
inference(rew,[status(thm),theory(equality)],[777,742]),
[iquote('0:Rew:777.0,742.0')] ).
cnf(790,plain,
~ equal(op2(e20,e24),e20),
inference(rew,[status(thm),theory(equality)],[777,744]),
[iquote('0:Rew:777.0,744.0')] ).
cnf(792,plain,
~ equal(op2(e24,e23),h5(e13)),
inference(rew,[status(thm),theory(equality)],[782,372]),
[iquote('0:Rew:782.0,372.0')] ).
cnf(793,plain,
~ equal(op2(e24,e22),h5(e13)),
inference(rew,[status(thm),theory(equality)],[782,371]),
[iquote('0:Rew:782.0,371.0')] ).
cnf(794,plain,
~ equal(op2(e24,e21),h5(e13)),
inference(rew,[status(thm),theory(equality)],[782,370]),
[iquote('0:Rew:782.0,370.0')] ).
cnf(796,plain,
~ equal(op2(e22,e20),h5(e13)),
inference(rew,[status(thm),theory(equality)],[782,288]),
[iquote('0:Rew:782.0,288.0')] ).
cnf(799,plain,
~ equal(h5(e13),e20),
inference(rew,[status(thm),theory(equality)],[782,786]),
[iquote('0:Rew:782.0,786.0')] ).
cnf(800,plain,
equal(op1(e14,e14),e10),
inference(rew,[status(thm),theory(equality)],[71,425]),
[iquote('0:Rew:71.0,425.0')] ).
cnf(802,plain,
~ equal(op1(e14,e12),e10),
inference(rew,[status(thm),theory(equality)],[800,278]),
[iquote('0:Rew:800.0,278.0')] ).
cnf(803,plain,
~ equal(op1(e14,e11),e10),
inference(rew,[status(thm),theory(equality)],[800,276]),
[iquote('0:Rew:800.0,276.0')] ).
cnf(804,plain,
~ equal(op1(e14,e10),e10),
inference(rew,[status(thm),theory(equality)],[800,273]),
[iquote('0:Rew:800.0,273.0')] ).
cnf(807,plain,
~ equal(op1(e11,e14),e10),
inference(rew,[status(thm),theory(equality)],[800,226]),
[iquote('0:Rew:800.0,226.0')] ).
cnf(808,plain,
~ equal(op1(e10,e14),e10),
inference(rew,[status(thm),theory(equality)],[800,223]),
[iquote('0:Rew:800.0,223.0')] ).
cnf(809,plain,
( ~ skC38
| equal(op2(e24,e23),e22) ),
inference(rew,[status(thm),theory(equality)],[705,423]),
[iquote('0:Rew:705.0,423.1')] ).
cnf(810,plain,
( ~ skC35
| equal(h4(e13),e23) ),
inference(rew,[status(thm),theory(equality)],[708,420,176]),
[iquote('0:Rew:708.0,420.1,176.0,420.1')] ).
cnf(814,plain,
( ~ skC20
| equal(h1(e13),e20) ),
inference(rew,[status(thm),theory(equality)],[715,405,173]),
[iquote('0:Rew:715.0,405.1,173.0,405.1')] ).
cnf(815,plain,
( ~ skC18
| equal(op1(e14,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[706,403]),
[iquote('0:Rew:706.0,403.1')] ).
cnf(827,plain,
equal(op2(h2(e14),h2(e14)),h2(e10)),
inference(rew,[status(thm),theory(equality)],[174,468]),
[iquote('0:Rew:174.0,468.0')] ).
cnf(830,plain,
( ~ equal(e23,e23)
| ~ skC35 ),
inference(rew,[status(thm),theory(equality)],[810,462,708,176]),
[iquote('0:Rew:810.1,462.0,708.0,462.0,176.0,462.0')] ).
cnf(831,plain,
~ skC35,
inference(obv,[status(thm),theory(equality)],[830]),
[iquote('0:Obv:830.0')] ).
cnf(834,plain,
( ~ equal(e20,e20)
| ~ skC20 ),
inference(rew,[status(thm),theory(equality)],[814,447,715,173]),
[iquote('0:Rew:814.1,447.0,715.0,447.0,173.0,447.0')] ).
cnf(835,plain,
~ skC20,
inference(obv,[status(thm),theory(equality)],[834]),
[iquote('0:Obv:834.0')] ).
cnf(841,plain,
( ~ equal(e10,e10)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[385,427]),
[iquote('0:Rew:385.1,427.0')] ).
cnf(842,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[841]),
[iquote('0:Obv:841.0')] ).
cnf(843,plain,
equal(op2(e23,e24),e21),
inference(rew,[status(thm),theory(equality)],[705,483,72]),
[iquote('0:Rew:705.0,483.0,72.0,483.0')] ).
cnf(844,plain,
~ equal(h4(e14),e21),
inference(rew,[status(thm),theory(equality)],[843,720]),
[iquote('0:Rew:843.0,720.0')] ).
cnf(845,plain,
~ equal(op2(e23,e22),e21),
inference(rew,[status(thm),theory(equality)],[843,368]),
[iquote('0:Rew:843.0,368.0')] ).
cnf(847,plain,
~ equal(op2(e23,e20),e21),
inference(rew,[status(thm),theory(equality)],[843,363]),
[iquote('0:Rew:843.0,363.0')] ).
cnf(849,plain,
~ equal(op2(e21,e24),e21),
inference(rew,[status(thm),theory(equality)],[843,325]),
[iquote('0:Rew:843.0,325.0')] ).
cnf(850,plain,
~ equal(op2(e20,e24),e21),
inference(rew,[status(thm),theory(equality)],[843,322]),
[iquote('0:Rew:843.0,322.0')] ).
cnf(852,plain,
( ~ skC39
| equal(op2(e24,e21),e23) ),
inference(rew,[status(thm),theory(equality)],[843,424]),
[iquote('0:Rew:843.0,424.1')] ).
cnf(854,plain,
equal(op1(e13,e14),e11),
inference(rew,[status(thm),theory(equality)],[706,482,71]),
[iquote('0:Rew:706.0,482.0,71.0,482.0')] ).
cnf(855,plain,
~ equal(op1(e13,e13),e11),
inference(rew,[status(thm),theory(equality)],[854,269]),
[iquote('0:Rew:854.0,269.0')] ).
cnf(856,plain,
~ equal(op1(e13,e12),e11),
inference(rew,[status(thm),theory(equality)],[854,268]),
[iquote('0:Rew:854.0,268.0')] ).
cnf(857,plain,
~ equal(op1(e13,e11),e11),
inference(rew,[status(thm),theory(equality)],[854,266]),
[iquote('0:Rew:854.0,266.0')] ).
cnf(858,plain,
~ equal(op1(e13,e10),e11),
inference(rew,[status(thm),theory(equality)],[854,263]),
[iquote('0:Rew:854.0,263.0')] ).
cnf(861,plain,
~ equal(op1(e10,e14),e11),
inference(rew,[status(thm),theory(equality)],[854,222]),
[iquote('0:Rew:854.0,222.0')] ).
cnf(863,plain,
( ~ skC19
| equal(op1(e14,e11),e13) ),
inference(rew,[status(thm),theory(equality)],[854,404]),
[iquote('0:Rew:854.0,404.1')] ).
cnf(865,plain,
( equal(h5(e13),e24)
| skC36
| skC37
| skC38
| skC39 ),
inference(rew,[status(thm),theory(equality)],[782,481,778]),
[iquote('0:Rew:782.0,481.0,778.0,481.0')] ).
cnf(866,plain,
( skC34
| skC33
| skC32
| equal(op2(e23,op2(e24,e23)),e24) ),
inference(mrr,[status(thm)],[480,831]),
[iquote('0:MRR:480.4,831.0')] ).
cnf(869,plain,
( equal(op2(e20,h5(e13)),e24)
| skC20
| skC21
| skC22
| skC23 ),
inference(rew,[status(thm),theory(equality)],[782,477]),
[iquote('0:Rew:782.0,477.0')] ).
cnf(870,plain,
( skC23
| skC22
| skC21
| equal(op2(e20,h5(e13)),e24) ),
inference(mrr,[status(thm)],[869,835]),
[iquote('0:MRR:869.1,835.0')] ).
cnf(871,plain,
( equal(op1(e14,e10),e14)
| skC16
| skC17
| skC18
| skC19 ),
inference(rew,[status(thm),theory(equality)],[800,476]),
[iquote('0:Rew:800.0,476.0')] ).
cnf(875,plain,
( skC3
| skC2
| skC1
| equal(op1(e10,op1(e14,e10)),e14) ),
inference(mrr,[status(thm)],[472,842]),
[iquote('0:MRR:472.1,842.0')] ).
cnf(881,plain,
equal(op2(h2(e13),h2(e14)),h2(e11)),
inference(rew,[status(thm),theory(equality)],[714,495,174]),
[iquote('0:Rew:714.0,495.0,174.0,495.0')] ).
cnf(883,plain,
( ~ equal(e24,e24)
| skC36
| skC37
| skC38
| skC39 ),
inference(rew,[status(thm),theory(equality)],[865,493,782,778]),
[iquote('0:Rew:865.0,493.0,782.0,493.0,778.0,493.0')] ).
cnf(884,plain,
( skC39
| skC38
| skC37
| skC36 ),
inference(obv,[status(thm),theory(equality)],[883]),
[iquote('0:Obv:883.0')] ).
cnf(890,plain,
( ~ equal(e14,e14)
| skC16
| skC17
| skC18
| skC19 ),
inference(rew,[status(thm),theory(equality)],[871,488,800]),
[iquote('0:Rew:871.0,488.0,800.0,488.0')] ).
cnf(891,plain,
( skC19
| skC18
| skC17
| skC16 ),
inference(obv,[status(thm),theory(equality)],[890]),
[iquote('0:Obv:890.0')] ).
cnf(900,plain,
( equal(h5(e13),e23)
| equal(op2(e24,e21),e23)
| equal(op2(e24,e22),e23)
| equal(op2(e24,e23),e23)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[778,504,782]),
[iquote('0:Rew:778.0,504.4,782.0,504.0')] ).
cnf(901,plain,
( equal(h5(e13),e23)
| equal(op2(e24,e23),e23)
| equal(op2(e24,e22),e23)
| equal(op2(e24,e21),e23) ),
inference(mrr,[status(thm)],[900,13]),
[iquote('0:MRR:900.4,13.0')] ).
cnf(904,plain,
( equal(h5(e13),e22)
| equal(op2(e24,e21),e22)
| equal(op2(e24,e22),e22)
| equal(op2(e24,e23),e22)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[778,506,782]),
[iquote('0:Rew:778.0,506.4,782.0,506.0')] ).
cnf(905,plain,
( equal(h5(e13),e22)
| equal(op2(e24,e22),e22)
| equal(op2(e24,e23),e22)
| equal(op2(e24,e21),e22) ),
inference(mrr,[status(thm)],[904,12]),
[iquote('0:MRR:904.4,12.0')] ).
cnf(919,plain,
( equal(op2(e20,e23),e21)
| equal(op2(e21,e23),e21)
| equal(op2(e22,e23),e21)
| equal(h4(e14),e21)
| equal(op2(e24,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[176,517]),
[iquote('0:Rew:176.0,517.3')] ).
cnf(920,plain,
( equal(op2(e21,e23),e21)
| equal(op2(e24,e23),e21)
| equal(op2(e22,e23),e21)
| equal(op2(e20,e23),e21) ),
inference(mrr,[status(thm)],[919,844]),
[iquote('0:MRR:919.3,844.0')] ).
cnf(927,plain,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(e24,e22)
| equal(op2(e23,e22),e22)
| equal(op2(e24,e22),e22) ),
inference(rew,[status(thm),theory(equality)],[72,525]),
[iquote('0:Rew:72.0,525.2')] ).
cnf(928,plain,
( equal(op2(e24,e22),e22)
| equal(op2(e23,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e20,e22),e22) ),
inference(mrr,[status(thm)],[927,19]),
[iquote('0:MRR:927.2,19.0')] ).
cnf(931,plain,
( equal(op2(e20,e22),e21)
| equal(op2(e21,e22),e21)
| equal(e24,e21)
| equal(op2(e23,e22),e21)
| equal(op2(e24,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[72,527]),
[iquote('0:Rew:72.0,527.2')] ).
cnf(932,plain,
( equal(op2(e21,e22),e21)
| equal(op2(e24,e22),e21)
| equal(op2(e20,e22),e21) ),
inference(mrr,[status(thm)],[931,17,845]),
[iquote('0:MRR:931.2,931.3,17.0,845.0')] ).
cnf(933,plain,
( equal(op2(e22,e20),e21)
| equal(op2(e22,e21),e21)
| equal(e24,e21)
| equal(op2(e22,e23),e21)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[705,528,72]),
[iquote('0:Rew:705.0,528.4,72.0,528.2')] ).
cnf(934,plain,
( equal(op2(e22,e21),e21)
| equal(op2(e22,e23),e21)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[933,17,16]),
[iquote('0:MRR:933.2,933.4,17.0,16.0')] ).
cnf(937,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(e24,e20)
| equal(op2(e22,e23),e20)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[705,530,72]),
[iquote('0:Rew:705.0,530.4,72.0,530.2')] ).
cnf(938,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e23),e20)
| equal(op2(e22,e21),e20) ),
inference(mrr,[status(thm)],[937,14,13]),
[iquote('0:MRR:937.2,937.4,14.0,13.0')] ).
cnf(939,plain,
( equal(op2(e20,e21),e24)
| equal(h2(e14),e24)
| equal(op2(e22,e21),e24)
| equal(op2(e23,e21),e24)
| equal(op2(e24,e21),e24) ),
inference(rew,[status(thm),theory(equality)],[174,531]),
[iquote('0:Rew:174.0,531.1')] ).
cnf(940,plain,
( equal(h2(e14),e24)
| equal(op2(e24,e21),e24)
| equal(op2(e23,e21),e24)
| equal(op2(e20,e21),e24) ),
inference(mrr,[status(thm)],[939,728]),
[iquote('0:MRR:939.2,728.0')] ).
cnf(945,plain,
( equal(op2(e21,e20),e23)
| equal(h2(e14),e23)
| equal(op2(e21,e22),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e21,e24),e23) ),
inference(rew,[status(thm),theory(equality)],[174,534]),
[iquote('0:Rew:174.0,534.1')] ).
cnf(946,plain,
( equal(h2(e14),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e21,e22),e23)
| equal(op2(e21,e20),e23) ),
inference(mrr,[status(thm)],[945,743]),
[iquote('0:MRR:945.4,743.0')] ).
cnf(955,plain,
( equal(op2(e21,e20),e20)
| equal(h2(e14),e20)
| equal(op2(e21,e22),e20)
| equal(op2(e21,e23),e20)
| equal(op2(e21,e24),e20) ),
inference(rew,[status(thm),theory(equality)],[174,540]),
[iquote('0:Rew:174.0,540.1')] ).
cnf(956,plain,
( equal(h2(e14),e20)
| equal(op2(e21,e20),e20)
| equal(op2(e21,e23),e20)
| equal(op2(e21,e22),e20) ),
inference(mrr,[status(thm)],[955,789]),
[iquote('0:MRR:955.4,789.0')] ).
cnf(967,plain,
( equal(h1(e14),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e22,e20),e21)
| equal(op2(e23,e20),e21)
| equal(h5(e13),e21) ),
inference(rew,[status(thm),theory(equality)],[782,547,173]),
[iquote('0:Rew:782.0,547.4,173.0,547.0')] ).
cnf(968,plain,
( equal(h5(e13),e21)
| equal(h1(e14),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[967,847]),
[iquote('0:MRR:967.3,847.0')] ).
cnf(969,plain,
( equal(h1(e14),e21)
| equal(op2(e20,e21),e21)
| equal(op2(e20,e22),e21)
| equal(op2(e20,e23),e21)
| equal(op2(e20,e24),e21) ),
inference(rew,[status(thm),theory(equality)],[173,548]),
[iquote('0:Rew:173.0,548.0')] ).
cnf(970,plain,
( equal(h1(e14),e21)
| equal(op2(e20,e21),e21)
| equal(op2(e20,e23),e21)
| equal(op2(e20,e22),e21) ),
inference(mrr,[status(thm)],[969,850]),
[iquote('0:MRR:969.4,850.0')] ).
cnf(976,plain,
( equal(op2(e24,e22),e22)
| equal(op2(e24,e22),e23)
| equal(op2(e24,e22),e21) ),
inference(mrr,[status(thm)],[553,784,750]),
[iquote('0:MRR:553.0,553.4,784.0,750.0')] ).
cnf(977,plain,
( equal(op2(e24,e21),e24)
| equal(op2(e24,e21),e21)
| equal(op2(e24,e21),e23)
| equal(op2(e24,e21),e22) ),
inference(mrr,[status(thm)],[554,785]),
[iquote('0:MRR:554.0,785.0')] ).
cnf(978,plain,
( equal(h5(e13),e20)
| equal(h5(e13),e21)
| equal(h5(e13),e22)
| equal(h5(e13),e23)
| equal(h5(e13),e24) ),
inference(rew,[status(thm),theory(equality)],[782,555]),
[iquote('0:Rew:782.0,555.4,782.0,555.3,782.0,555.2,782.0,555.1,782.0,555.0')] ).
cnf(979,plain,
( equal(h5(e13),e24)
| equal(h5(e13),e23)
| equal(h5(e13),e22)
| equal(h5(e13),e21) ),
inference(mrr,[status(thm)],[978,799]),
[iquote('0:MRR:978.0,799.0')] ).
cnf(980,plain,
( equal(h4(e14),e20)
| equal(h4(e14),e21)
| equal(h4(e14),e22)
| equal(h4(e14),e23)
| equal(h4(e14),e24) ),
inference(rew,[status(thm),theory(equality)],[176,557]),
[iquote('0:Rew:176.0,557.4,176.0,557.3,176.0,557.2,176.0,557.1,176.0,557.0')] ).
cnf(981,plain,
( equal(h4(e14),e24)
| equal(h4(e14),e23)
| equal(h4(e14),e22)
| equal(h4(e14),e20) ),
inference(mrr,[status(thm)],[980,844]),
[iquote('0:MRR:980.1,844.0')] ).
cnf(982,plain,
( equal(op2(e23,e22),e23)
| equal(op2(e23,e22),e22)
| equal(op2(e23,e22),e20) ),
inference(mrr,[status(thm)],[558,845,751]),
[iquote('0:MRR:558.1,558.4,845.0,751.0')] ).
cnf(984,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e20),e20)
| equal(op2(e23,e20),e24)
| equal(op2(e23,e20),e22) ),
inference(mrr,[status(thm)],[560,847]),
[iquote('0:MRR:560.1,847.0')] ).
cnf(985,plain,
( equal(op2(e22,e23),e22)
| equal(op2(e22,e23),e21)
| equal(op2(e22,e23),e20) ),
inference(mrr,[status(thm)],[562,724,726]),
[iquote('0:MRR:562.3,562.4,724.0,726.0')] ).
cnf(986,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e20) ),
inference(mrr,[status(thm)],[564,727,728]),
[iquote('0:MRR:564.3,564.4,727.0,728.0')] ).
cnf(987,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e20)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[565,729,730]),
[iquote('0:MRR:565.3,565.4,729.0,730.0')] ).
cnf(988,plain,
( equal(op2(e21,e24),e24)
| equal(op2(e21,e24),e22) ),
inference(mrr,[status(thm)],[566,789,849,743]),
[iquote('0:MRR:566.0,566.1,566.3,789.0,849.0,743.0')] ).
cnf(991,plain,
( equal(op2(e20,e24),e24)
| equal(op2(e20,e24),e22) ),
inference(mrr,[status(thm)],[571,790,850,745]),
[iquote('0:MRR:571.0,571.1,571.3,790.0,850.0,745.0')] ).
cnf(1000,plain,
( equal(op1(e10,e14),e12)
| equal(op1(e11,e14),e12)
| equal(e13,e12)
| equal(e12,e11)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[800,580,854,706]),
[iquote('0:Rew:800.0,580.4,854.0,580.3,706.0,580.2')] ).
cnf(1001,plain,
( equal(op1(e11,e14),e12)
| equal(op1(e10,e14),e12) ),
inference(mrr,[status(thm)],[1000,8,5,2]),
[iquote('0:MRR:1000.2,1000.3,1000.4,8.0,5.0,2.0')] ).
cnf(1002,plain,
( equal(op1(e14,e10),e12)
| equal(op1(e14,e11),e12)
| equal(op1(e14,e12),e12)
| equal(op1(e14,e13),e12)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[800,581]),
[iquote('0:Rew:800.0,581.4')] ).
cnf(1003,plain,
( equal(op1(e14,e12),e12)
| equal(op1(e14,e13),e12)
| equal(op1(e14,e11),e12)
| equal(op1(e14,e10),e12) ),
inference(mrr,[status(thm)],[1002,2]),
[iquote('0:MRR:1002.4,2.0')] ).
cnf(1007,plain,
( equal(op1(e13,e10),e14)
| equal(op1(e13,e11),e14)
| equal(op1(e13,e12),e14)
| equal(op1(e13,e13),e14)
| equal(e14,e11) ),
inference(rew,[status(thm),theory(equality)],[854,587]),
[iquote('0:Rew:854.0,587.4')] ).
cnf(1008,plain,
( equal(op1(e13,e13),e14)
| equal(op1(e13,e11),e14)
| equal(op1(e13,e10),e14) ),
inference(mrr,[status(thm)],[1007,774,7]),
[iquote('0:MRR:1007.2,1007.4,774.0,7.0')] ).
cnf(1014,plain,
( equal(op1(e11,e13),e11)
| equal(op1(e14,e13),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[592,855]),
[iquote('0:MRR:592.3,855.0')] ).
cnf(1020,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(e14,e12)
| equal(op1(e13,e12),e12)
| equal(op1(e14,e12),e12) ),
inference(rew,[status(thm),theory(equality)],[71,600]),
[iquote('0:Rew:71.0,600.2')] ).
cnf(1021,plain,
( equal(op1(e14,e12),e12)
| equal(op1(e13,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e10,e12),e12) ),
inference(mrr,[status(thm)],[1020,9]),
[iquote('0:MRR:1020.2,9.0')] ).
cnf(1024,plain,
( equal(op1(e10,e12),e11)
| equal(op1(e11,e12),e11)
| equal(e14,e11)
| equal(op1(e13,e12),e11)
| equal(op1(e14,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[71,602]),
[iquote('0:Rew:71.0,602.2')] ).
cnf(1025,plain,
( equal(op1(e11,e12),e11)
| equal(op1(e14,e12),e11)
| equal(op1(e10,e12),e11) ),
inference(mrr,[status(thm)],[1024,7,856]),
[iquote('0:MRR:1024.2,1024.3,7.0,856.0')] ).
cnf(1026,plain,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11)
| equal(e14,e11)
| equal(op1(e12,e13),e11)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[706,603,71]),
[iquote('0:Rew:706.0,603.4,71.0,603.2')] ).
cnf(1027,plain,
( equal(op1(e12,e11),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[1026,7,6]),
[iquote('0:MRR:1026.2,1026.4,7.0,6.0')] ).
cnf(1030,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(e14,e10)
| equal(op1(e12,e13),e10)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[706,605,71]),
[iquote('0:Rew:706.0,605.4,71.0,605.2')] ).
cnf(1031,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e13),e10)
| equal(op1(e12,e11),e10) ),
inference(mrr,[status(thm)],[1030,4,3]),
[iquote('0:MRR:1030.2,1030.4,4.0,3.0')] ).
cnf(1033,plain,
( equal(op1(e11,e14),e14)
| equal(op1(e11,e11),e14)
| equal(op1(e11,e13),e14)
| equal(op1(e11,e10),e14) ),
inference(mrr,[status(thm)],[607,775]),
[iquote('0:MRR:607.2,775.0')] ).
cnf(1034,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e14,e11),e13)
| equal(op1(e10,e11),e13) ),
inference(mrr,[status(thm)],[608,765]),
[iquote('0:MRR:608.2,765.0')] ).
cnf(1035,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e11,e12),e13)
| equal(op1(e11,e10),e13) ),
inference(mrr,[status(thm)],[609,771]),
[iquote('0:MRR:609.4,771.0')] ).
cnf(1039,plain,
( equal(op1(e11,e11),e10)
| equal(op1(e11,e10),e10)
| equal(op1(e11,e13),e10)
| equal(op1(e11,e12),e10) ),
inference(mrr,[status(thm)],[615,807]),
[iquote('0:MRR:615.4,807.0')] ).
cnf(1040,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e10,e10),e14)
| equal(op1(e13,e10),e14)
| equal(op1(e11,e10),e14) ),
inference(mrr,[status(thm)],[616,768]),
[iquote('0:MRR:616.2,768.0')] ).
cnf(1042,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e10,e10),e13)
| equal(op1(e14,e10),e13)
| equal(op1(e11,e10),e13) ),
inference(mrr,[status(thm)],[618,767]),
[iquote('0:MRR:618.2,767.0')] ).
cnf(1044,plain,
( equal(op1(e11,e10),e11)
| equal(op1(e10,e10),e11)
| equal(op1(e14,e10),e11)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[622,858]),
[iquote('0:MRR:622.3,858.0')] ).
cnf(1045,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e10),e11)
| equal(op1(e10,e13),e11)
| equal(op1(e10,e12),e11) ),
inference(mrr,[status(thm)],[623,861]),
[iquote('0:MRR:623.4,861.0')] ).
cnf(1049,plain,
( equal(op1(e14,e12),e12)
| equal(op1(e14,e12),e13)
| equal(op1(e14,e12),e11) ),
inference(mrr,[status(thm)],[628,802,773]),
[iquote('0:MRR:628.0,628.4,802.0,773.0')] ).
cnf(1050,plain,
( equal(op1(e14,e11),e14)
| equal(op1(e14,e11),e11)
| equal(op1(e14,e11),e13)
| equal(op1(e14,e11),e12) ),
inference(mrr,[status(thm)],[629,803]),
[iquote('0:MRR:629.0,803.0')] ).
cnf(1051,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e14,e10),e13)
| equal(op1(e14,e10),e12)
| equal(op1(e14,e10),e11) ),
inference(mrr,[status(thm)],[630,804]),
[iquote('0:MRR:630.0,804.0')] ).
cnf(1052,plain,
( equal(op1(e13,e13),e13)
| equal(op1(e13,e13),e14)
| equal(op1(e13,e13),e12)
| equal(op1(e13,e13),e10) ),
inference(mrr,[status(thm)],[632,855]),
[iquote('0:MRR:632.1,855.0')] ).
cnf(1053,plain,
( equal(op1(e13,e12),e13)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e10) ),
inference(mrr,[status(thm)],[633,856,774]),
[iquote('0:MRR:633.1,633.4,856.0,774.0')] ).
cnf(1054,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e13,e11),e14)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e11),e10) ),
inference(mrr,[status(thm)],[634,857]),
[iquote('0:MRR:634.1,857.0')] ).
cnf(1055,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e10),e10)
| equal(op1(e13,e10),e14)
| equal(op1(e13,e10),e12) ),
inference(mrr,[status(thm)],[635,858]),
[iquote('0:MRR:635.1,858.0')] ).
cnf(1058,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e10)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[640,767,768]),
[iquote('0:MRR:640.3,640.4,767.0,768.0')] ).
cnf(1061,plain,
( equal(op1(e10,e14),e14)
| equal(op1(e10,e14),e12) ),
inference(mrr,[status(thm)],[646,808,861,772]),
[iquote('0:MRR:646.0,646.1,646.3,808.0,861.0,772.0')] ).
cnf(1100,plain,
( ~ equal(h2(e14),e24)
| ~ equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10)))
| ~ equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11)))
| ~ equal(op2(h2(e10),e21),h2(op1(e10,e12)))
| ~ equal(op2(h2(e10),h2(e13)),h2(op1(e10,e13)))
| ~ equal(op2(h2(e10),h2(e14)),h2(op1(e10,e14)))
| ~ equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10)))
| ~ equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11)))
| ~ equal(op2(h2(e11),e21),h2(op1(e11,e12)))
| ~ equal(op2(h2(e11),h2(e13)),h2(op1(e11,e13)))
| ~ equal(op2(h2(e11),h2(e14)),h2(op1(e11,e14)))
| ~ equal(op2(e21,h2(e10)),h2(op1(e12,e10)))
| ~ equal(op2(e21,h2(e11)),h2(op1(e12,e11)))
| ~ equal(h2(e14),h2(e14))
| ~ equal(op2(e21,h2(e13)),h2(op1(e12,e13)))
| ~ equal(h2(e13),h2(e13))
| ~ equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10)))
| ~ equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))
| ~ equal(op2(h2(e13),e21),h2(op1(e13,e12)))
| ~ equal(op2(h2(e13),h2(e13)),h2(op1(e13,e13)))
| ~ equal(h2(e11),h2(e11))
| ~ equal(op2(h2(e14),h2(e10)),h2(op1(e14,e10)))
| ~ equal(op2(h2(e14),h2(e11)),h2(op1(e14,e11)))
| ~ equal(op2(h2(e14),e21),h2(op1(e14,e12)))
| ~ equal(op2(h2(e14),h2(e13)),h2(op1(e14,e13)))
| ~ equal(h2(e10),h2(e10))
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47 ),
inference(rew,[status(thm),theory(equality)],[827,666,800,47,881,854,714,706,174,71]),
[iquote('0:Rew:827.0,666.25,800.0,666.25,47.0,666.23,881.0,666.20,854.0,666.20,47.0,666.18,714.0,666.15,47.0,666.15,706.0,666.15,47.0,666.14,174.0,666.13,47.0,666.13,71.0,666.13,47.0,666.12,47.0,666.11,47.0,666.8,47.0,666.3')] ).
cnf(1101,plain,
( ~ equal(h2(e14),e24)
| ~ equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10)))
| ~ equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11)))
| ~ equal(op2(h2(e10),e21),h2(op1(e10,e12)))
| ~ equal(op2(h2(e10),h2(e13)),h2(op1(e10,e13)))
| ~ equal(op2(h2(e10),h2(e14)),h2(op1(e10,e14)))
| ~ equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10)))
| ~ equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11)))
| ~ equal(op2(h2(e11),e21),h2(op1(e11,e12)))
| ~ equal(op2(h2(e11),h2(e13)),h2(op1(e11,e13)))
| ~ equal(op2(h2(e11),h2(e14)),h2(op1(e11,e14)))
| ~ equal(op2(e21,h2(e10)),h2(op1(e12,e10)))
| ~ equal(op2(e21,h2(e11)),h2(op1(e12,e11)))
| ~ equal(op2(e21,h2(e13)),h2(op1(e12,e13)))
| ~ equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10)))
| ~ equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))
| ~ equal(op2(h2(e13),e21),h2(op1(e13,e12)))
| ~ equal(op2(h2(e13),h2(e13)),h2(op1(e13,e13)))
| ~ equal(op2(h2(e14),h2(e10)),h2(op1(e14,e10)))
| ~ equal(op2(h2(e14),h2(e11)),h2(op1(e14,e11)))
| ~ equal(op2(h2(e14),e21),h2(op1(e14,e12)))
| ~ equal(op2(h2(e14),h2(e13)),h2(op1(e14,e13)))
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47 ),
inference(obv,[status(thm),theory(equality)],[1100]),
[iquote('0:Obv:1100.25')] ).
cnf(1102,plain,
( ~ skC47
| ~ skC46
| ~ skC44
| ~ equal(h2(e14),e24)
| ~ equal(op2(e21,h2(e13)),h2(op1(e12,e13)))
| ~ equal(op2(e21,h2(e11)),h2(op1(e12,e11)))
| ~ equal(op2(e21,h2(e10)),h2(op1(e12,e10)))
| ~ equal(op2(h2(e14),e21),h2(op1(e14,e12)))
| ~ equal(op2(h2(e13),e21),h2(op1(e13,e12)))
| ~ equal(op2(h2(e11),e21),h2(op1(e11,e12)))
| ~ equal(op2(h2(e10),e21),h2(op1(e10,e12)))
| ~ equal(op2(h2(e13),h2(e13)),h2(op1(e13,e13)))
| ~ equal(op2(h2(e11),h2(e11)),h2(op1(e11,e11)))
| ~ equal(op2(h2(e10),h2(e10)),h2(op1(e10,e10)))
| ~ equal(op2(h2(e14),h2(e13)),h2(op1(e14,e13)))
| ~ equal(op2(h2(e14),h2(e11)),h2(op1(e14,e11)))
| ~ equal(op2(h2(e14),h2(e10)),h2(op1(e14,e10)))
| ~ equal(op2(h2(e13),h2(e11)),h2(op1(e13,e11)))
| ~ equal(op2(h2(e13),h2(e10)),h2(op1(e13,e10)))
| ~ equal(op2(h2(e11),h2(e14)),h2(op1(e11,e14)))
| ~ equal(op2(h2(e11),h2(e13)),h2(op1(e11,e13)))
| ~ equal(op2(h2(e11),h2(e10)),h2(op1(e11,e10)))
| ~ equal(op2(h2(e10),h2(e14)),h2(op1(e10,e14)))
| ~ equal(op2(h2(e10),h2(e13)),h2(op1(e10,e13)))
| ~ equal(op2(h2(e10),h2(e11)),h2(op1(e10,e11))) ),
inference(mrr,[status(thm)],[1101,698]),
[iquote('0:MRR:1101.23,698.0')] ).
cnf(1128,plain,
equal(e14,unit1),
inference(spt,[spt(split,[position(s1)])],[499]),
[iquote('1:Spt:499.0')] ).
cnf(1220,plain,
( equal(op1(e11,e13),e11)
| equal(op1(unit1,e13),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e10,e13),e11) ),
inference(rew,[status(thm),theory(equality)],[1128,1014]),
[iquote('1:Rew:1128.0,1014.1')] ).
cnf(1238,plain,
( equal(op1(e11,e12),e11)
| equal(op1(unit1,e12),e11)
| equal(op1(e10,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[1128,1025]),
[iquote('1:Rew:1128.0,1025.1')] ).
cnf(1259,plain,
( equal(op1(e11,e10),e11)
| equal(op1(e10,e10),e11)
| equal(op1(unit1,e10),e11)
| equal(op1(e12,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[1128,1044]),
[iquote('1:Rew:1128.0,1044.2')] ).
cnf(1265,plain,
~ equal(op1(e12,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[1128,188]),
[iquote('1:Rew:1128.0,188.0')] ).
cnf(1274,plain,
~ equal(op1(e11,e13),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[1128,249]),
[iquote('1:Rew:1128.0,249.0')] ).
cnf(1275,plain,
~ equal(op1(e11,e12),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[1128,248]),
[iquote('1:Rew:1128.0,248.0')] ).
cnf(1277,plain,
~ equal(op1(e11,e10),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[1128,243]),
[iquote('1:Rew:1128.0,243.0')] ).
cnf(1399,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,1265]),
[iquote('1:Rew:51.0,1265.0')] ).
cnf(1401,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[1058,1399]),
[iquote('1:MRR:1058.1,1399.0')] ).
cnf(1406,plain,
~ equal(op1(e11,e13),e11),
inference(rew,[status(thm),theory(equality)],[54,1274]),
[iquote('1:Rew:54.0,1274.0')] ).
cnf(1407,plain,
~ equal(op1(e11,e12),e11),
inference(rew,[status(thm),theory(equality)],[54,1275]),
[iquote('1:Rew:54.0,1275.0')] ).
cnf(1409,plain,
~ equal(op1(e11,e10),e11),
inference(rew,[status(thm),theory(equality)],[54,1277]),
[iquote('1:Rew:54.0,1277.0')] ).
cnf(1443,plain,
( equal(op1(e11,e12),e11)
| equal(e12,e11)
| equal(op1(e10,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[55,1238]),
[iquote('1:Rew:55.0,1238.1')] ).
cnf(1444,plain,
equal(op1(e10,e12),e11),
inference(mrr,[status(thm)],[1443,1407,5]),
[iquote('1:MRR:1443.0,1443.1,1407.0,5.0')] ).
cnf(1445,plain,
~ equal(op1(e10,e13),e11),
inference(rew,[status(thm),theory(equality)],[1444,237]),
[iquote('1:Rew:1444.0,237.0')] ).
cnf(1447,plain,
~ equal(op1(e10,e10),e11),
inference(rew,[status(thm),theory(equality)],[1444,231]),
[iquote('1:Rew:1444.0,231.0')] ).
cnf(1471,plain,
( equal(op1(e11,e13),e11)
| equal(e13,e11)
| equal(op1(e12,e13),e11)
| equal(op1(e10,e13),e11) ),
inference(rew,[status(thm),theory(equality)],[57,1220]),
[iquote('1:Rew:57.0,1220.1')] ).
cnf(1472,plain,
equal(op1(e12,e13),e11),
inference(mrr,[status(thm)],[1471,1406,6,1445]),
[iquote('1:MRR:1471.0,1471.1,1471.3,1406.0,6.0,1445.0')] ).
cnf(1478,plain,
~ equal(op1(e12,e10),e11),
inference(rew,[status(thm),theory(equality)],[1472,252]),
[iquote('1:Rew:1472.0,252.0')] ).
cnf(1485,plain,
equal(op1(e12,e10),e12),
inference(mrr,[status(thm)],[1401,1478]),
[iquote('1:MRR:1401.1,1478.0')] ).
cnf(1525,plain,
( equal(op1(e11,e10),e11)
| equal(op1(e10,e10),e11)
| equal(e11,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1485,1259,51]),
[iquote('1:Rew:1485.0,1259.3,51.0,1259.2')] ).
cnf(1526,plain,
$false,
inference(mrr,[status(thm)],[1525,1409,1447,1,5]),
[iquote('1:MRR:1525.0,1525.1,1525.2,1525.3,1409.0,1447.0,1.0,5.0')] ).
cnf(1568,plain,
~ equal(e14,unit1),
inference(spt,[spt(split,[position(sa)])],[1526,1128]),
[iquote('1:Spt:1526.0,499.0,1128.0')] ).
cnf(1569,plain,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2)])],[499]),
[iquote('1:Spt:1526.0,499.1,499.2,499.3,499.4')] ).
cnf(1570,plain,
equal(e13,unit1),
inference(spt,[spt(split,[position(s2s1)])],[1569]),
[iquote('2:Spt:1569.0')] ).
cnf(1636,plain,
~ equal(op1(e14,e12),op1(unit1,e12)),
inference(rew,[status(thm),theory(equality)],[1570,209]),
[iquote('2:Rew:1570.0,209.0')] ).
cnf(1645,plain,
~ equal(op1(e10,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[1570,192]),
[iquote('2:Rew:1570.0,192.0')] ).
cnf(1649,plain,
~ equal(op1(e14,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[1570,199]),
[iquote('2:Rew:1570.0,199.0')] ).
cnf(1660,plain,
~ equal(op1(e12,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[1570,187]),
[iquote('2:Rew:1570.0,187.0')] ).
cnf(1684,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e10),e11)
| equal(op1(e10,unit1),e11)
| equal(op1(e10,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[1570,1045]),
[iquote('2:Rew:1570.0,1045.2')] ).
cnf(1715,plain,
~ equal(op1(e12,e10),op1(e12,unit1)),
inference(rew,[status(thm),theory(equality)],[1570,252]),
[iquote('2:Rew:1570.0,252.0')] ).
cnf(1727,plain,
~ equal(op1(e14,e10),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[1570,272]),
[iquote('2:Rew:1570.0,272.0')] ).
cnf(1728,plain,
~ equal(op1(e14,e11),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[1570,275]),
[iquote('2:Rew:1570.0,275.0')] ).
cnf(1739,plain,
( equal(op1(e14,e11),e14)
| equal(op1(e14,e11),e11)
| equal(op1(e14,e11),unit1)
| equal(op1(e14,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[1570,1050]),
[iquote('2:Rew:1570.0,1050.2')] ).
cnf(1748,plain,
( equal(op1(e14,e12),e12)
| equal(op1(e14,e12),unit1)
| equal(op1(e14,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[1570,1049]),
[iquote('2:Rew:1570.0,1049.1')] ).
cnf(1760,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e14,e10),unit1)
| equal(op1(e14,e10),e12)
| equal(op1(e14,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[1570,1051]),
[iquote('2:Rew:1570.0,1051.1')] ).
cnf(1777,plain,
~ equal(op1(e14,e12),e12),
inference(rew,[status(thm),theory(equality)],[55,1636]),
[iquote('2:Rew:55.0,1636.0')] ).
cnf(1783,plain,
~ equal(op1(e10,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,1645]),
[iquote('2:Rew:53.0,1645.0')] ).
cnf(1785,plain,
~ equal(op1(e14,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,1649]),
[iquote('2:Rew:53.0,1649.0')] ).
cnf(1794,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,1660]),
[iquote('2:Rew:51.0,1660.0')] ).
cnf(1795,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[1058,1794]),
[iquote('2:MRR:1058.1,1794.0')] ).
cnf(1812,plain,
~ equal(op1(e12,e10),e12),
inference(rew,[status(thm),theory(equality)],[56,1715]),
[iquote('2:Rew:56.0,1715.0')] ).
cnf(1814,plain,
~ equal(op1(e14,e10),e14),
inference(rew,[status(thm),theory(equality)],[60,1727]),
[iquote('2:Rew:60.0,1727.0')] ).
cnf(1815,plain,
~ equal(op1(e14,e11),e14),
inference(rew,[status(thm),theory(equality)],[60,1728]),
[iquote('2:Rew:60.0,1728.0')] ).
cnf(1853,plain,
equal(op1(e12,e10),e11),
inference(mrr,[status(thm)],[1795,1812]),
[iquote('2:MRR:1795.0,1812.0')] ).
cnf(1855,plain,
~ equal(op1(e14,e10),e11),
inference(rew,[status(thm),theory(equality)],[1853,188]),
[iquote('2:Rew:1853.0,188.0')] ).
cnf(1856,plain,
~ equal(op1(e10,e10),e11),
inference(rew,[status(thm),theory(equality)],[1853,181]),
[iquote('2:Rew:1853.0,181.0')] ).
cnf(1887,plain,
( equal(op1(e14,e12),unit1)
| equal(op1(e14,e12),e11) ),
inference(mrr,[status(thm)],[1748,1777]),
[iquote('2:MRR:1748.0,1777.0')] ).
cnf(1905,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e10),e11)
| equal(e11,e10)
| equal(op1(e10,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[52,1684]),
[iquote('2:Rew:52.0,1684.2')] ).
cnf(1906,plain,
equal(op1(e10,e12),e11),
inference(mrr,[status(thm)],[1905,1783,1856,1]),
[iquote('2:MRR:1905.0,1905.1,1905.2,1783.0,1856.0,1.0')] ).
cnf(1909,plain,
~ equal(op1(e14,e12),e11),
inference(rew,[status(thm),theory(equality)],[1906,203]),
[iquote('2:Rew:1906.0,203.0')] ).
cnf(1916,plain,
equal(op1(e14,e12),unit1),
inference(mrr,[status(thm)],[1887,1909]),
[iquote('2:MRR:1887.1,1909.0')] ).
cnf(1919,plain,
~ equal(op1(e14,e10),unit1),
inference(rew,[status(thm),theory(equality)],[1916,271]),
[iquote('2:Rew:1916.0,271.0')] ).
cnf(1920,plain,
~ equal(op1(e14,e11),unit1),
inference(rew,[status(thm),theory(equality)],[1916,274]),
[iquote('2:Rew:1916.0,274.0')] ).
cnf(1936,plain,
equal(op1(e14,e11),e12),
inference(mrr,[status(thm)],[1739,1815,1785,1920]),
[iquote('2:MRR:1739.0,1739.1,1739.2,1815.0,1785.0,1920.0')] ).
cnf(1938,plain,
~ equal(op1(e14,e10),e12),
inference(rew,[status(thm),theory(equality)],[1936,270]),
[iquote('2:Rew:1936.0,270.0')] ).
cnf(1961,plain,
$false,
inference(mrr,[status(thm)],[1760,1814,1919,1938,1855]),
[iquote('2:MRR:1760.0,1760.1,1760.2,1760.3,1814.0,1919.0,1938.0,1855.0')] ).
cnf(1988,plain,
~ equal(e13,unit1),
inference(spt,[spt(split,[position(s2sa)])],[1961,1570]),
[iquote('2:Spt:1961.0,1569.0,1570.0')] ).
cnf(1989,plain,
( equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2s2)])],[1569]),
[iquote('2:Spt:1961.0,1569.1,1569.2,1569.3')] ).
cnf(1990,plain,
equal(e12,unit1),
inference(spt,[spt(split,[position(s2s2s1)])],[1989]),
[iquote('3:Spt:1989.0')] ).
cnf(2001,plain,
~ equal(e11,unit1),
inference(rew,[status(thm),theory(equality)],[1990,5]),
[iquote('3:Rew:1990.0,5.0')] ).
cnf(2002,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[1990,2]),
[iquote('3:Rew:1990.0,2.0')] ).
cnf(2121,plain,
( equal(op1(e14,unit1),unit1)
| equal(op1(e13,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e10,e12),e12) ),
inference(rew,[status(thm),theory(equality)],[1990,1021]),
[iquote('3:Rew:1990.0,1021.0')] ).
cnf(2259,plain,
( equal(e14,unit1)
| equal(e13,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
inference(rew,[status(thm),theory(equality)],[52,2121,1990,54,58,60]),
[iquote('3:Rew:52.0,2121.3,1990.0,2121.3,54.0,2121.2,1990.0,2121.2,58.0,2121.1,1990.0,2121.1,60.0,2121.0')] ).
cnf(2260,plain,
$false,
inference(mrr,[status(thm)],[2259,1568,1988,2001,2002]),
[iquote('3:MRR:2259.0,2259.1,2259.2,2259.3,1568.0,1988.0,2001.0,2002.0')] ).
cnf(2298,plain,
~ equal(e12,unit1),
inference(spt,[spt(split,[position(s2s2sa)])],[2260,1990]),
[iquote('3:Spt:2260.0,1989.0,1990.0')] ).
cnf(2299,plain,
( equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2s2s2)])],[1989]),
[iquote('3:Spt:2260.0,1989.1,1989.2')] ).
cnf(2300,plain,
equal(e11,unit1),
inference(spt,[spt(split,[position(s2s2s2s1)])],[2299]),
[iquote('4:Spt:2299.0')] ).
cnf(2343,plain,
~ equal(op1(e13,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[2300,185]),
[iquote('4:Rew:2300.0,185.0')] ).
cnf(2345,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e10,e10),e14)
| equal(op1(e13,e10),e14)
| equal(op1(unit1,e10),e14) ),
inference(rew,[status(thm),theory(equality)],[2300,1040]),
[iquote('4:Rew:2300.0,1040.3')] ).
cnf(2346,plain,
~ equal(op1(e12,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[2300,184]),
[iquote('4:Rew:2300.0,184.0')] ).
cnf(2347,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e10,e10),e13)
| equal(op1(e14,e10),e13)
| equal(op1(unit1,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[2300,1042]),
[iquote('4:Rew:2300.0,1042.3')] ).
cnf(2365,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[2300,1]),
[iquote('4:Rew:2300.0,1.0')] ).
cnf(2370,plain,
( ~ skC1
| ~ equal(op1(unit1,op1(unit1,e10)),e10) ),
inference(rew,[status(thm),theory(equality)],[2300,428]),
[iquote('4:Rew:2300.0,428.1')] ).
cnf(2374,plain,
~ equal(op1(e10,e14),op1(unit1,e14)),
inference(rew,[status(thm),theory(equality)],[2300,220]),
[iquote('4:Rew:2300.0,220.0')] ).
cnf(2382,plain,
( ~ skC17
| equal(op1(e14,op1(unit1,e14)),unit1) ),
inference(rew,[status(thm),theory(equality)],[2300,402]),
[iquote('4:Rew:2300.0,402.1')] ).
cnf(2387,plain,
~ equal(op1(e13,e10),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[2300,260]),
[iquote('4:Rew:2300.0,260.0')] ).
cnf(2393,plain,
~ equal(op1(e13,e13),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[2300,265]),
[iquote('4:Rew:2300.0,265.0')] ).
cnf(2394,plain,
~ equal(op1(e13,e12),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[2300,264]),
[iquote('4:Rew:2300.0,264.0')] ).
cnf(2403,plain,
( ~ skC19
| equal(op1(e14,unit1),e13) ),
inference(rew,[status(thm),theory(equality)],[2300,863]),
[iquote('4:Rew:2300.0,863.1')] ).
cnf(2408,plain,
~ equal(op1(e14,e10),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[2300,270]),
[iquote('4:Rew:2300.0,270.0')] ).
cnf(2437,plain,
~ equal(op1(e13,e12),op1(unit1,e12)),
inference(rew,[status(thm),theory(equality)],[2300,205]),
[iquote('4:Rew:2300.0,205.0')] ).
cnf(2454,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e13),e10)
| equal(op1(e12,unit1),e10) ),
inference(rew,[status(thm),theory(equality)],[2300,1031]),
[iquote('4:Rew:2300.0,1031.2')] ).
cnf(2468,plain,
( equal(op1(e12,e11),e11)
| equal(op1(e12,e13),unit1)
| equal(op1(e12,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[2300,1027]),
[iquote('4:Rew:2300.0,1027.1')] ).
cnf(2485,plain,
( ~ skC19
| equal(e14,e13) ),
inference(rew,[status(thm),theory(equality)],[60,2403]),
[iquote('4:Rew:60.0,2403.1')] ).
cnf(2486,plain,
~ skC19,
inference(mrr,[status(thm)],[2485,10]),
[iquote('4:MRR:2485.1,10.0')] ).
cnf(2487,plain,
( skC18
| skC17
| skC16 ),
inference(mrr,[status(thm)],[891,2486]),
[iquote('4:MRR:891.0,2486.0')] ).
cnf(2491,plain,
~ equal(op1(e13,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,2343]),
[iquote('4:Rew:51.0,2343.0')] ).
cnf(2492,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e10),e14)
| equal(op1(e13,e10),e12) ),
inference(mrr,[status(thm)],[1055,2491]),
[iquote('4:MRR:1055.1,2491.0')] ).
cnf(2493,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,2346]),
[iquote('4:Rew:51.0,2346.0')] ).
cnf(2499,plain,
~ equal(op1(e10,e14),e14),
inference(rew,[status(thm),theory(equality)],[59,2374]),
[iquote('4:Rew:59.0,2374.0')] ).
cnf(2500,plain,
equal(op1(e10,e14),e12),
inference(mrr,[status(thm)],[1061,2499]),
[iquote('4:MRR:1061.0,2499.0')] ).
cnf(2503,plain,
( ~ skC16
| equal(op1(e14,e12),e10) ),
inference(rew,[status(thm),theory(equality)],[2500,401]),
[iquote('4:Rew:2500.0,401.1')] ).
cnf(2510,plain,
~ skC16,
inference(mrr,[status(thm)],[2503,802]),
[iquote('4:MRR:2503.1,802.0')] ).
cnf(2511,plain,
( skC18
| skC17 ),
inference(mrr,[status(thm)],[2487,2510]),
[iquote('4:MRR:2487.2,2510.0')] ).
cnf(2514,plain,
~ equal(op1(e13,e10),e13),
inference(rew,[status(thm),theory(equality)],[58,2387]),
[iquote('4:Rew:58.0,2387.0')] ).
cnf(2517,plain,
~ equal(op1(e13,e13),e13),
inference(rew,[status(thm),theory(equality)],[58,2393]),
[iquote('4:Rew:58.0,2393.0')] ).
cnf(2518,plain,
( equal(op1(e13,e13),e14)
| equal(op1(e13,e13),e12)
| equal(op1(e13,e13),e10) ),
inference(mrr,[status(thm)],[1052,2517]),
[iquote('4:MRR:1052.0,2517.0')] ).
cnf(2519,plain,
~ equal(op1(e13,e12),e13),
inference(rew,[status(thm),theory(equality)],[58,2394]),
[iquote('4:Rew:58.0,2394.0')] ).
cnf(2520,plain,
( equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e10) ),
inference(mrr,[status(thm)],[1053,2519]),
[iquote('4:MRR:1053.0,2519.0')] ).
cnf(2525,plain,
~ equal(op1(e14,e10),e14),
inference(rew,[status(thm),theory(equality)],[60,2408]),
[iquote('4:Rew:60.0,2408.0')] ).
cnf(2539,plain,
~ equal(op1(e13,e12),e12),
inference(rew,[status(thm),theory(equality)],[55,2437]),
[iquote('4:Rew:55.0,2437.0')] ).
cnf(2548,plain,
( ~ skC17
| equal(e10,unit1) ),
inference(rew,[status(thm),theory(equality)],[800,2382,59]),
[iquote('4:Rew:800.0,2382.1,59.0,2382.1')] ).
cnf(2549,plain,
~ skC17,
inference(mrr,[status(thm)],[2548,2365]),
[iquote('4:MRR:2548.1,2365.0')] ).
cnf(2550,plain,
skC18,
inference(mrr,[status(thm)],[2511,2549]),
[iquote('4:MRR:2511.1,2549.0')] ).
cnf(2551,plain,
equal(op1(e14,e13),e12),
inference(mrr,[status(thm)],[815,2550]),
[iquote('4:MRR:815.0,2550.0')] ).
cnf(2553,plain,
~ equal(op1(e13,e13),e12),
inference(rew,[status(thm),theory(equality)],[2551,219]),
[iquote('4:Rew:2551.0,219.0')] ).
cnf(2573,plain,
( ~ skC1
| ~ equal(e10,e10) ),
inference(rew,[status(thm),theory(equality)],[51,2370]),
[iquote('4:Rew:51.0,2370.1,51.0,2370.1')] ).
cnf(2574,plain,
~ skC1,
inference(obv,[status(thm),theory(equality)],[2573]),
[iquote('4:Obv:2573.1')] ).
cnf(2575,plain,
( skC3
| skC2
| equal(op1(e10,op1(e14,e10)),e14) ),
inference(mrr,[status(thm)],[875,2574]),
[iquote('4:MRR:875.2,2574.0')] ).
cnf(2581,plain,
equal(op1(e13,e12),e10),
inference(mrr,[status(thm)],[2520,2539]),
[iquote('4:MRR:2520.0,2539.0')] ).
cnf(2585,plain,
~ equal(op1(e13,e13),e10),
inference(rew,[status(thm),theory(equality)],[2581,267]),
[iquote('4:Rew:2581.0,267.0')] ).
cnf(2598,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e13),e10)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[56,2454]),
[iquote('4:Rew:56.0,2454.2')] ).
cnf(2599,plain,
equal(op1(e12,e13),e10),
inference(mrr,[status(thm)],[2598,2493,2]),
[iquote('4:MRR:2598.0,2598.2,2493.0,2.0')] ).
cnf(2611,plain,
( equal(e12,unit1)
| equal(e10,unit1)
| equal(op1(e12,e10),unit1) ),
inference(rew,[status(thm),theory(equality)],[2300,2468,2599,56]),
[iquote('4:Rew:2300.0,2468.2,2599.0,2468.1,56.0,2468.0,2300.0,2468.0')] ).
cnf(2612,plain,
equal(op1(e12,e10),unit1),
inference(mrr,[status(thm)],[2611,2298,2365]),
[iquote('4:MRR:2611.0,2611.1,2298.0,2365.0')] ).
cnf(2618,plain,
( ~ skC2
| equal(op1(e10,unit1),e12) ),
inference(rew,[status(thm),theory(equality)],[2612,387]),
[iquote('4:Rew:2612.0,387.1')] ).
cnf(2622,plain,
( ~ skC2
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[52,2618]),
[iquote('4:Rew:52.0,2618.1')] ).
cnf(2623,plain,
~ skC2,
inference(mrr,[status(thm)],[2622,2]),
[iquote('4:MRR:2622.1,2.0')] ).
cnf(2624,plain,
( skC3
| equal(op1(e10,op1(e14,e10)),e14) ),
inference(mrr,[status(thm)],[2575,2623]),
[iquote('4:MRR:2575.1,2623.0')] ).
cnf(2626,plain,
( equal(op1(e13,e10),e14)
| equal(op1(e13,e10),e12) ),
inference(mrr,[status(thm)],[2492,2514]),
[iquote('4:MRR:2492.0,2514.0')] ).
cnf(2627,plain,
equal(op1(e13,e13),e14),
inference(mrr,[status(thm)],[2518,2553,2585]),
[iquote('4:MRR:2518.1,2518.2,2553.0,2585.0')] ).
cnf(2628,plain,
~ equal(op1(e10,e13),e14),
inference(rew,[status(thm),theory(equality)],[2627,212]),
[iquote('4:Rew:2627.0,212.0')] ).
cnf(2629,plain,
~ equal(op1(e13,e10),e14),
inference(rew,[status(thm),theory(equality)],[2627,262]),
[iquote('4:Rew:2627.0,262.0')] ).
cnf(2634,plain,
equal(op1(e13,e10),e12),
inference(mrr,[status(thm)],[2626,2629]),
[iquote('4:MRR:2626.0,2629.0')] ).
cnf(2638,plain,
( ~ skC3
| ~ equal(op1(e13,e12),e10) ),
inference(rew,[status(thm),theory(equality)],[2634,430]),
[iquote('4:Rew:2634.0,430.1')] ).
cnf(2643,plain,
( ~ skC3
| ~ equal(e10,e10) ),
inference(rew,[status(thm),theory(equality)],[2581,2638]),
[iquote('4:Rew:2581.0,2638.1')] ).
cnf(2644,plain,
~ skC3,
inference(obv,[status(thm),theory(equality)],[2643]),
[iquote('4:Obv:2643.1')] ).
cnf(2645,plain,
equal(op1(e10,op1(e14,e10)),e14),
inference(mrr,[status(thm)],[2624,2644]),
[iquote('4:MRR:2624.0,2644.0')] ).
cnf(2653,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e10,e10),e14)
| equal(e14,e12)
| equal(e14,e10) ),
inference(rew,[status(thm),theory(equality)],[51,2345,2634]),
[iquote('4:Rew:51.0,2345.3,2634.0,2345.2')] ).
cnf(2654,plain,
equal(op1(e10,e10),e14),
inference(mrr,[status(thm)],[2653,2525,9,4]),
[iquote('4:MRR:2653.0,2653.2,2653.3,2525.0,9.0,4.0')] ).
cnf(2661,plain,
( equal(e13,e12)
| equal(e14,e13)
| equal(op1(e14,e10),e13)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[51,2347,2654,2634]),
[iquote('4:Rew:51.0,2347.3,2654.0,2347.1,2634.0,2347.0')] ).
cnf(2662,plain,
equal(op1(e14,e10),e13),
inference(mrr,[status(thm)],[2661,8,10,3]),
[iquote('4:MRR:2661.0,2661.1,2661.3,8.0,10.0,3.0')] ).
cnf(2668,plain,
equal(op1(e10,e13),e14),
inference(rew,[status(thm),theory(equality)],[2662,2645]),
[iquote('4:Rew:2662.0,2645.0')] ).
cnf(2670,plain,
$false,
inference(mrr,[status(thm)],[2668,2628]),
[iquote('4:MRR:2668.0,2628.0')] ).
cnf(2730,plain,
~ equal(e11,unit1),
inference(spt,[spt(split,[position(s2s2s2sa)])],[2670,2300]),
[iquote('4:Spt:2670.0,2299.0,2300.0')] ).
cnf(2731,plain,
equal(e10,unit1),
inference(spt,[spt(split,[position(s2s2s2s2)])],[2299]),
[iquote('4:Spt:2670.0,2299.1')] ).
cnf(2738,plain,
( ~ equal(h2(unit1),e20)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[2731,93]),
[iquote('4:Rew:2731.0,93.0')] ).
cnf(2739,plain,
equal(op2(h2(e14),h2(e14)),h2(unit1)),
inference(rew,[status(thm),theory(equality)],[2731,827]),
[iquote('4:Rew:2731.0,827.0')] ).
cnf(2750,plain,
equal(op1(unit1,unit1),unit1),
inference(rew,[status(thm),theory(equality)],[2731,52]),
[iquote('4:Rew:2731.0,52.0')] ).
cnf(2757,plain,
~ equal(e11,unit1),
inference(rew,[status(thm),theory(equality)],[2731,1]),
[iquote('4:Rew:2731.0,1.0')] ).
cnf(2770,plain,
~ equal(op1(e12,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,191,2731]),
[iquote('4:Rew:53.0,191.0,2731.0,191.0')] ).
cnf(2772,plain,
~ equal(op1(e11,e12),e11),
inference(rew,[status(thm),theory(equality)],[54,241,2731]),
[iquote('4:Rew:54.0,241.0,2731.0,241.0')] ).
cnf(2775,plain,
~ equal(op1(e11,e13),e13),
inference(rew,[status(thm),theory(equality)],[57,210,2731]),
[iquote('4:Rew:57.0,210.0,2731.0,210.0')] ).
cnf(2779,plain,
~ equal(op1(e13,e11),e13),
inference(rew,[status(thm),theory(equality)],[58,260,2731]),
[iquote('4:Rew:58.0,260.0,2731.0,260.0')] ).
cnf(2797,plain,
~ equal(op1(e13,e12),e13),
inference(rew,[status(thm),theory(equality)],[58,261,2731]),
[iquote('4:Rew:58.0,261.0,2731.0,261.0')] ).
cnf(2798,plain,
~ equal(op1(e13,e12),e12),
inference(rew,[status(thm),theory(equality)],[55,202,2731]),
[iquote('4:Rew:55.0,202.0,2731.0,202.0')] ).
cnf(2825,plain,
( equal(op1(e11,e14),e12)
| equal(e14,e12) ),
inference(rew,[status(thm),theory(equality)],[59,1001,2731]),
[iquote('4:Rew:59.0,1001.1,2731.0,1001.1')] ).
cnf(2826,plain,
equal(op1(e11,e14),e12),
inference(mrr,[status(thm)],[2825,9]),
[iquote('4:MRR:2825.1,9.0')] ).
cnf(2857,plain,
( equal(op1(e12,e11),e11)
| equal(op1(e12,e13),e11)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[56,1027,2731]),
[iquote('4:Rew:56.0,1027.2,2731.0,1027.2')] ).
cnf(2858,plain,
equal(op1(e12,e13),e11),
inference(mrr,[status(thm)],[2857,2770,5]),
[iquote('4:MRR:2857.0,2857.2,2770.0,5.0')] ).
cnf(2869,plain,
( equal(op1(e11,e12),e11)
| equal(op1(e14,e12),e11)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[55,1025,2731]),
[iquote('4:Rew:55.0,1025.2,2731.0,1025.2')] ).
cnf(2870,plain,
equal(op1(e14,e12),e11),
inference(mrr,[status(thm)],[2869,2772,5]),
[iquote('4:MRR:2869.0,2869.2,2772.0,5.0')] ).
cnf(2881,plain,
( equal(e12,unit1)
| equal(e11,unit1)
| equal(op1(e12,e11),unit1) ),
inference(rew,[status(thm),theory(equality)],[2731,1031,2858,56]),
[iquote('4:Rew:2731.0,1031.2,2858.0,1031.1,2731.0,1031.1,56.0,1031.0,2731.0,1031.0')] ).
cnf(2882,plain,
equal(op1(e12,e11),unit1),
inference(mrr,[status(thm)],[2881,2298,2757]),
[iquote('4:MRR:2881.0,2881.1,2298.0,2757.0')] ).
cnf(2885,plain,
~ equal(op1(e13,e11),unit1),
inference(rew,[status(thm),theory(equality)],[2882,197]),
[iquote('4:Rew:2882.0,197.0')] ).
cnf(2886,plain,
~ equal(op1(e11,e11),unit1),
inference(rew,[status(thm),theory(equality)],[2882,194]),
[iquote('4:Rew:2882.0,194.0')] ).
cnf(2901,plain,
( equal(op1(e13,e13),e14)
| equal(op1(e13,e11),e14)
| equal(e14,e13) ),
inference(rew,[status(thm),theory(equality)],[58,1008,2731]),
[iquote('4:Rew:58.0,1008.2,2731.0,1008.2')] ).
cnf(2902,plain,
( equal(op1(e13,e13),e14)
| equal(op1(e13,e11),e14) ),
inference(mrr,[status(thm)],[2901,10]),
[iquote('4:MRR:2901.2,10.0')] ).
cnf(2903,plain,
( equal(op1(e13,e12),e13)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),unit1) ),
inference(rew,[status(thm),theory(equality)],[2731,1053]),
[iquote('4:Rew:2731.0,1053.2')] ).
cnf(2904,plain,
equal(op1(e13,e12),unit1),
inference(mrr,[status(thm)],[2903,2797,2798]),
[iquote('4:MRR:2903.0,2903.1,2797.0,2798.0')] ).
cnf(2907,plain,
~ equal(op1(e11,e12),unit1),
inference(rew,[status(thm),theory(equality)],[2904,205]),
[iquote('4:Rew:2904.0,205.0')] ).
cnf(2924,plain,
( equal(e14,e12)
| equal(op1(e11,e11),e14)
| equal(op1(e11,e13),e14)
| equal(e14,e11) ),
inference(rew,[status(thm),theory(equality)],[54,1033,2731,2826]),
[iquote('4:Rew:54.0,1033.3,2731.0,1033.3,2826.0,1033.0')] ).
cnf(2925,plain,
( equal(op1(e11,e11),e14)
| equal(op1(e11,e13),e14) ),
inference(mrr,[status(thm)],[2924,9,7]),
[iquote('4:MRR:2924.0,2924.3,9.0,7.0')] ).
cnf(2926,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e11,e12),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[54,1035,2731]),
[iquote('4:Rew:54.0,1035.3,2731.0,1035.3')] ).
cnf(2927,plain,
( equal(op1(e11,e11),e13)
| equal(op1(e11,e12),e13) ),
inference(mrr,[status(thm)],[2926,2775,6]),
[iquote('4:MRR:2926.0,2926.3,2775.0,6.0')] ).
cnf(2928,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e14,e11),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[53,1034,2731]),
[iquote('4:Rew:53.0,1034.3,2731.0,1034.3')] ).
cnf(2929,plain,
( equal(op1(e11,e11),e13)
| equal(op1(e14,e11),e13) ),
inference(mrr,[status(thm)],[2928,2779,6]),
[iquote('4:MRR:2928.0,2928.3,2779.0,6.0')] ).
cnf(2930,plain,
( equal(op1(e11,e11),unit1)
| equal(e11,unit1)
| equal(op1(e11,e13),unit1)
| equal(op1(e11,e12),unit1) ),
inference(rew,[status(thm),theory(equality)],[2731,1039,54]),
[iquote('4:Rew:2731.0,1039.3,2731.0,1039.2,54.0,1039.1,2731.0,1039.1,2731.0,1039.0')] ).
cnf(2931,plain,
equal(op1(e11,e13),unit1),
inference(mrr,[status(thm)],[2930,2886,2757,2907]),
[iquote('4:MRR:2930.0,2930.1,2930.3,2886.0,2757.0,2907.0')] ).
cnf(2941,plain,
( equal(op1(e11,e11),e14)
| equal(e14,unit1) ),
inference(rew,[status(thm),theory(equality)],[2931,2925]),
[iquote('4:Rew:2931.0,2925.1')] ).
cnf(2946,plain,
equal(op1(e11,e11),e14),
inference(mrr,[status(thm)],[2941,1568]),
[iquote('4:MRR:2941.1,1568.0')] ).
cnf(2949,plain,
~ equal(op1(e13,e11),e14),
inference(rew,[status(thm),theory(equality)],[2946,195]),
[iquote('4:Rew:2946.0,195.0')] ).
cnf(2953,plain,
( equal(e14,e13)
| equal(op1(e14,e11),e13) ),
inference(rew,[status(thm),theory(equality)],[2946,2929]),
[iquote('4:Rew:2946.0,2929.0')] ).
cnf(2954,plain,
( equal(e14,e13)
| equal(op1(e11,e12),e13) ),
inference(rew,[status(thm),theory(equality)],[2946,2927]),
[iquote('4:Rew:2946.0,2927.0')] ).
cnf(2955,plain,
equal(op1(e13,e13),e14),
inference(mrr,[status(thm)],[2902,2949]),
[iquote('4:MRR:2902.1,2949.0')] ).
cnf(2961,plain,
equal(op1(e14,e11),e13),
inference(mrr,[status(thm)],[2953,10]),
[iquote('4:MRR:2953.0,10.0')] ).
cnf(2973,plain,
equal(op1(e11,e12),e13),
inference(mrr,[status(thm)],[2954,10]),
[iquote('4:MRR:2954.0,10.0')] ).
cnf(2988,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e13,e11),e14)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e11),unit1) ),
inference(rew,[status(thm),theory(equality)],[2731,1054]),
[iquote('4:Rew:2731.0,1054.3')] ).
cnf(2989,plain,
equal(op1(e13,e11),e12),
inference(mrr,[status(thm)],[2988,2779,2949,2885]),
[iquote('4:MRR:2988.0,2988.1,2988.3,2779.0,2949.0,2885.0')] ).
cnf(2999,plain,
( equal(e12,e11)
| equal(op1(e14,e13),e12)
| equal(e13,e12)
| equal(e14,e12) ),
inference(rew,[status(thm),theory(equality)],[60,1003,2731,2961,2870]),
[iquote('4:Rew:60.0,1003.3,2731.0,1003.3,2961.0,1003.2,2870.0,1003.0')] ).
cnf(3000,plain,
equal(op1(e14,e13),e12),
inference(mrr,[status(thm)],[2999,5,8,9]),
[iquote('4:MRR:2999.0,2999.2,2999.3,5.0,8.0,9.0')] ).
cnf(3035,plain,
( ~ skC47
| ~ skC46
| ~ skC44
| ~ equal(h2(e14),e24)
| ~ equal(op2(e21,h2(e13)),h2(e11))
| ~ equal(op2(e21,h2(e11)),h2(unit1))
| ~ equal(op2(e21,h2(unit1)),e21)
| ~ equal(op2(h2(e14),e21),h2(e11))
| ~ equal(op2(h2(e13),e21),h2(unit1))
| ~ equal(op2(h2(e11),e21),h2(e13))
| ~ equal(op2(h2(unit1),e21),e21)
| ~ equal(op2(h2(e13),h2(e13)),h2(e14))
| ~ equal(op2(h2(e11),h2(e11)),h2(e14))
| ~ equal(op2(h2(unit1),h2(unit1)),h2(unit1))
| ~ equal(op2(h2(e14),h2(e13)),e21)
| ~ equal(op2(h2(e14),h2(e11)),h2(e13))
| ~ equal(op2(h2(e14),h2(unit1)),h2(e14))
| ~ equal(op2(h2(e13),h2(e11)),e21)
| ~ equal(op2(h2(e13),h2(unit1)),h2(e13))
| ~ equal(op2(h2(e11),h2(e14)),e21)
| ~ equal(op2(h2(e11),h2(e13)),h2(unit1))
| ~ equal(op2(h2(e11),h2(unit1)),h2(e11))
| ~ equal(op2(h2(unit1),h2(e14)),h2(e14))
| ~ equal(op2(h2(unit1),h2(e13)),h2(e13))
| ~ equal(op2(h2(unit1),h2(e11)),h2(e11)) ),
inference(rew,[status(thm),theory(equality)],[53,1102,2731,57,59,54,2931,47,2826,58,2989,60,2961,3000,2750,2946,2955,55,2973,2904,2870,56,2882,2858]),
[iquote('4:Rew:53.0,1102.24,2731.0,1102.24,57.0,1102.23,2731.0,1102.23,59.0,1102.22,2731.0,1102.22,54.0,1102.21,2731.0,1102.21,2931.0,1102.20,47.0,1102.19,2826.0,1102.19,58.0,1102.18,2731.0,1102.18,47.0,1102.17,2989.0,1102.17,60.0,1102.16,2731.0,1102.16,2961.0,1102.15,47.0,1102.14,3000.0,1102.14,2750.0,1102.13,2731.0,1102.13,2946.0,1102.12,2955.0,1102.11,47.0,1102.10,55.0,1102.10,2731.0,1102.10,2973.0,1102.9,2904.0,1102.8,2870.0,1102.7,47.0,1102.6,56.0,1102.6,2731.0,1102.6,2882.0,1102.5,2858.0,1102.4')] ).
cnf(3040,plain,
equal(e21,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[500]),
[iquote('5:Spt:500.3')] ).
cnf(3045,plain,
( ~ skC39
| equal(op2(e24,unit2),e23) ),
inference(rew,[status(thm),theory(equality)],[3040,852]),
[iquote('5:Rew:3040.0,852.1')] ).
cnf(3054,plain,
~ equal(op2(e24,unit2),h5(e13)),
inference(rew,[status(thm),theory(equality)],[3040,794]),
[iquote('5:Rew:3040.0,794.0')] ).
cnf(3062,plain,
~ equal(op2(e23,e22),op2(e23,unit2)),
inference(rew,[status(thm),theory(equality)],[3040,364]),
[iquote('5:Rew:3040.0,364.0')] ).
cnf(3063,plain,
~ equal(op2(e23,e20),op2(e23,unit2)),
inference(rew,[status(thm),theory(equality)],[3040,360]),
[iquote('5:Rew:3040.0,360.0')] ).
cnf(3066,plain,
~ equal(op2(e23,unit2),h4(e14)),
inference(rew,[status(thm),theory(equality)],[3040,722]),
[iquote('5:Rew:3040.0,722.0')] ).
cnf(3069,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e23),e20)
| equal(op2(e22,unit2),e20) ),
inference(rew,[status(thm),theory(equality)],[3040,938]),
[iquote('5:Rew:3040.0,938.2')] ).
cnf(3097,plain,
~ equal(op2(e20,e24),op2(unit2,e24)),
inference(rew,[status(thm),theory(equality)],[3040,320]),
[iquote('5:Rew:3040.0,320.0')] ).
cnf(3107,plain,
~ equal(op2(e23,e22),op2(unit2,e22)),
inference(rew,[status(thm),theory(equality)],[3040,305]),
[iquote('5:Rew:3040.0,305.0')] ).
cnf(3118,plain,
~ equal(op2(e23,e20),op2(unit2,e20)),
inference(rew,[status(thm),theory(equality)],[3040,285]),
[iquote('5:Rew:3040.0,285.0')] ).
cnf(3119,plain,
~ equal(op2(e22,e20),op2(unit2,e20)),
inference(rew,[status(thm),theory(equality)],[3040,284]),
[iquote('5:Rew:3040.0,284.0')] ).
cnf(3146,plain,
( equal(op2(e22,e21),e21)
| equal(op2(e22,e23),unit2)
| equal(op2(e22,e20),e21) ),
inference(rew,[status(thm),theory(equality)],[3040,934]),
[iquote('5:Rew:3040.0,934.1')] ).
cnf(3152,plain,
~ equal(e22,unit2),
inference(rew,[status(thm),theory(equality)],[3040,15]),
[iquote('5:Rew:3040.0,15.0')] ).
cnf(3153,plain,
~ equal(e20,unit2),
inference(rew,[status(thm),theory(equality)],[3040,11]),
[iquote('5:Rew:3040.0,11.0')] ).
cnf(3162,plain,
( ~ skC37
| equal(op2(e24,op2(unit2,e24)),unit2) ),
inference(rew,[status(thm),theory(equality)],[3040,422]),
[iquote('5:Rew:3040.0,422.1')] ).
cnf(3175,plain,
( ~ skC21
| ~ equal(op2(unit2,op2(unit2,e20)),e20) ),
inference(rew,[status(thm),theory(equality)],[3040,448]),
[iquote('5:Rew:3040.0,448.1')] ).
cnf(3188,plain,
( equal(h5(e13),e24)
| equal(h5(e13),e23)
| equal(h5(e13),e22)
| equal(h5(e13),unit2) ),
inference(rew,[status(thm),theory(equality)],[3040,979]),
[iquote('5:Rew:3040.0,979.3')] ).
cnf(3223,plain,
( ~ skC39
| equal(e24,e23) ),
inference(rew,[status(thm),theory(equality)],[70,3045]),
[iquote('5:Rew:70.0,3045.1')] ).
cnf(3224,plain,
~ skC39,
inference(mrr,[status(thm)],[3223,20]),
[iquote('5:MRR:3223.1,20.0')] ).
cnf(3225,plain,
( skC38
| skC37
| skC36 ),
inference(mrr,[status(thm)],[884,3224]),
[iquote('5:MRR:884.0,3224.0')] ).
cnf(3227,plain,
~ equal(h5(e13),e24),
inference(rew,[status(thm),theory(equality)],[70,3054]),
[iquote('5:Rew:70.0,3054.0')] ).
cnf(3229,plain,
~ equal(h4(e14),e23),
inference(rew,[status(thm),theory(equality)],[68,3066]),
[iquote('5:Rew:68.0,3066.0')] ).
cnf(3230,plain,
( equal(h4(e14),e24)
| equal(h4(e14),e22)
| equal(h4(e14),e20) ),
inference(mrr,[status(thm)],[981,3229]),
[iquote('5:MRR:981.1,3229.0')] ).
cnf(3251,plain,
~ equal(op2(e23,e22),e23),
inference(rew,[status(thm),theory(equality)],[68,3062]),
[iquote('5:Rew:68.0,3062.0')] ).
cnf(3252,plain,
( equal(op2(e23,e22),e22)
| equal(op2(e23,e22),e20) ),
inference(mrr,[status(thm)],[982,3251]),
[iquote('5:MRR:982.0,3251.0')] ).
cnf(3253,plain,
~ equal(op2(e23,e20),e23),
inference(rew,[status(thm),theory(equality)],[68,3063]),
[iquote('5:Rew:68.0,3063.0')] ).
cnf(3254,plain,
( equal(op2(e23,e20),e20)
| equal(op2(e23,e20),e24)
| equal(op2(e23,e20),e22) ),
inference(mrr,[status(thm)],[984,3253]),
[iquote('5:MRR:984.0,3253.0')] ).
cnf(3264,plain,
~ equal(op2(e20,e24),e24),
inference(rew,[status(thm),theory(equality)],[69,3097]),
[iquote('5:Rew:69.0,3097.0')] ).
cnf(3265,plain,
equal(op2(e20,e24),e22),
inference(mrr,[status(thm)],[991,3264]),
[iquote('5:MRR:991.0,3264.0')] ).
cnf(3270,plain,
( ~ skC36
| equal(op2(e24,e22),e20) ),
inference(rew,[status(thm),theory(equality)],[3265,421]),
[iquote('5:Rew:3265.0,421.1')] ).
cnf(3276,plain,
~ skC36,
inference(mrr,[status(thm)],[3270,784]),
[iquote('5:MRR:3270.1,784.0')] ).
cnf(3277,plain,
( skC38
| skC37 ),
inference(mrr,[status(thm)],[3225,3276]),
[iquote('5:MRR:3225.2,3276.0')] ).
cnf(3281,plain,
~ equal(op2(e23,e22),e22),
inference(rew,[status(thm),theory(equality)],[65,3107]),
[iquote('5:Rew:65.0,3107.0')] ).
cnf(3286,plain,
~ equal(op2(e23,e20),e20),
inference(rew,[status(thm),theory(equality)],[61,3118]),
[iquote('5:Rew:61.0,3118.0')] ).
cnf(3287,plain,
~ equal(op2(e22,e20),e20),
inference(rew,[status(thm),theory(equality)],[61,3119]),
[iquote('5:Rew:61.0,3119.0')] ).
cnf(3294,plain,
( ~ skC37
| equal(e20,unit2) ),
inference(rew,[status(thm),theory(equality)],[778,3162,69]),
[iquote('5:Rew:778.0,3162.1,69.0,3162.1')] ).
cnf(3295,plain,
~ skC37,
inference(mrr,[status(thm)],[3294,3153]),
[iquote('5:MRR:3294.1,3153.0')] ).
cnf(3296,plain,
skC38,
inference(mrr,[status(thm)],[3277,3295]),
[iquote('5:MRR:3277.1,3295.0')] ).
cnf(3297,plain,
equal(op2(e24,e23),e22),
inference(mrr,[status(thm)],[809,3296]),
[iquote('5:MRR:809.0,3296.0')] ).
cnf(3304,plain,
~ equal(h4(e14),e22),
inference(rew,[status(thm),theory(equality)],[3297,746]),
[iquote('5:Rew:3297.0,746.0')] ).
cnf(3305,plain,
~ equal(h5(e13),e22),
inference(rew,[status(thm),theory(equality)],[3297,792]),
[iquote('5:Rew:3297.0,792.0')] ).
cnf(3323,plain,
( ~ skC21
| ~ equal(e20,e20) ),
inference(rew,[status(thm),theory(equality)],[61,3175]),
[iquote('5:Rew:61.0,3175.1,61.0,3175.1')] ).
cnf(3324,plain,
~ skC21,
inference(obv,[status(thm),theory(equality)],[3323]),
[iquote('5:Obv:3323.1')] ).
cnf(3325,plain,
( skC23
| skC22
| equal(op2(e20,h5(e13)),e24) ),
inference(mrr,[status(thm)],[870,3324]),
[iquote('5:MRR:870.2,3324.0')] ).
cnf(3328,plain,
equal(op2(e23,e22),e20),
inference(mrr,[status(thm)],[3252,3281]),
[iquote('5:MRR:3252.0,3281.0')] ).
cnf(3335,plain,
~ equal(h4(e14),e20),
inference(rew,[status(thm),theory(equality)],[3328,721]),
[iquote('5:Rew:3328.0,721.0')] ).
cnf(3343,plain,
equal(h4(e14),e24),
inference(mrr,[status(thm)],[3230,3304,3335]),
[iquote('5:MRR:3230.1,3230.2,3304.0,3335.0')] ).
cnf(3345,plain,
~ equal(op2(e20,e23),e24),
inference(rew,[status(thm),theory(equality)],[3343,749]),
[iquote('5:Rew:3343.0,749.0')] ).
cnf(3347,plain,
~ equal(op2(e23,e20),e24),
inference(rew,[status(thm),theory(equality)],[3343,723]),
[iquote('5:Rew:3343.0,723.0')] ).
cnf(3370,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e23),e20)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[66,3069]),
[iquote('5:Rew:66.0,3069.2')] ).
cnf(3371,plain,
equal(op2(e22,e23),e20),
inference(mrr,[status(thm)],[3370,3287,12]),
[iquote('5:MRR:3370.0,3370.2,3287.0,12.0')] ).
cnf(3382,plain,
( equal(e22,unit2)
| equal(e20,unit2)
| equal(op2(e22,e20),unit2) ),
inference(rew,[status(thm),theory(equality)],[3040,3146,3371,66]),
[iquote('5:Rew:3040.0,3146.2,3371.0,3146.1,66.0,3146.0,3040.0,3146.0')] ).
cnf(3383,plain,
equal(op2(e22,e20),unit2),
inference(mrr,[status(thm)],[3382,3152,3153]),
[iquote('5:MRR:3382.0,3382.1,3152.0,3153.0')] ).
cnf(3387,plain,
( ~ skC22
| equal(op2(e20,unit2),e22) ),
inference(rew,[status(thm),theory(equality)],[3383,407]),
[iquote('5:Rew:3383.0,407.1')] ).
cnf(3390,plain,
~ equal(h5(e13),unit2),
inference(rew,[status(thm),theory(equality)],[3383,796]),
[iquote('5:Rew:3383.0,796.0')] ).
cnf(3393,plain,
( ~ skC22
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[62,3387]),
[iquote('5:Rew:62.0,3387.1')] ).
cnf(3394,plain,
~ skC22,
inference(mrr,[status(thm)],[3393,12]),
[iquote('5:MRR:3393.1,12.0')] ).
cnf(3395,plain,
( skC23
| equal(op2(e20,h5(e13)),e24) ),
inference(mrr,[status(thm)],[3325,3394]),
[iquote('5:MRR:3325.1,3394.0')] ).
cnf(3397,plain,
equal(op2(e23,e20),e22),
inference(mrr,[status(thm)],[3254,3286,3347]),
[iquote('5:MRR:3254.0,3254.1,3286.0,3347.0')] ).
cnf(3399,plain,
( ~ skC23
| ~ equal(op2(e23,e22),e20) ),
inference(rew,[status(thm),theory(equality)],[3397,450]),
[iquote('5:Rew:3397.0,450.1')] ).
cnf(3406,plain,
( ~ skC23
| ~ equal(e20,e20) ),
inference(rew,[status(thm),theory(equality)],[3328,3399]),
[iquote('5:Rew:3328.0,3399.1')] ).
cnf(3407,plain,
~ skC23,
inference(obv,[status(thm),theory(equality)],[3406]),
[iquote('5:Obv:3406.1')] ).
cnf(3408,plain,
equal(op2(e20,h5(e13)),e24),
inference(mrr,[status(thm)],[3395,3407]),
[iquote('5:MRR:3395.0,3407.0')] ).
cnf(3410,plain,
equal(h5(e13),e23),
inference(mrr,[status(thm)],[3188,3227,3305,3390]),
[iquote('5:MRR:3188.0,3188.2,3188.3,3227.0,3305.0,3390.0')] ).
cnf(3420,plain,
equal(op2(e20,e23),e24),
inference(rew,[status(thm),theory(equality)],[3410,3408]),
[iquote('5:Rew:3410.0,3408.0')] ).
cnf(3423,plain,
$false,
inference(mrr,[status(thm)],[3420,3345]),
[iquote('5:MRR:3420.0,3345.0')] ).
cnf(3536,plain,
~ equal(e21,unit2),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[3423,3040]),
[iquote('5:Spt:3423.0,500.3,3040.0')] ).
cnf(3537,plain,
( equal(e24,unit2)
| equal(e23,unit2)
| equal(e22,unit2)
| equal(e20,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[500]),
[iquote('5:Spt:3423.0,500.0,500.1,500.2,500.4')] ).
cnf(3538,plain,
equal(e24,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[3537]),
[iquote('6:Spt:3537.0')] ).
cnf(3571,plain,
~ equal(op2(e21,e20),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[3538,343]),
[iquote('6:Rew:3538.0,343.0')] ).
cnf(3572,plain,
~ equal(op2(e21,e22),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[3538,348]),
[iquote('6:Rew:3538.0,348.0')] ).
cnf(3574,plain,
~ equal(op2(e21,e23),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[3538,349]),
[iquote('6:Rew:3538.0,349.0')] ).
cnf(3581,plain,
~ equal(op2(unit2,e21),h5(e13)),
inference(rew,[status(thm),theory(equality)],[3538,794]),
[iquote('6:Rew:3538.0,794.0')] ).
cnf(3604,plain,
( equal(op2(e21,e23),e21)
| equal(op2(unit2,e23),e21)
| equal(op2(e22,e23),e21)
| equal(op2(e20,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[3538,920]),
[iquote('6:Rew:3538.0,920.1')] ).
cnf(3618,plain,
( equal(op2(e21,e22),e21)
| equal(op2(unit2,e22),e21)
| equal(op2(e20,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[3538,932]),
[iquote('6:Rew:3538.0,932.1')] ).
cnf(3691,plain,
~ equal(h5(e13),e21),
inference(rew,[status(thm),theory(equality)],[63,3581]),
[iquote('6:Rew:63.0,3581.0')] ).
cnf(3692,plain,
( equal(h1(e14),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[968,3691]),
[iquote('6:MRR:968.0,3691.0')] ).
cnf(3713,plain,
~ equal(op2(e21,e20),e21),
inference(rew,[status(thm),theory(equality)],[64,3571]),
[iquote('6:Rew:64.0,3571.0')] ).
cnf(3714,plain,
~ equal(op2(e21,e22),e21),
inference(rew,[status(thm),theory(equality)],[64,3572]),
[iquote('6:Rew:64.0,3572.0')] ).
cnf(3717,plain,
~ equal(op2(e21,e23),e21),
inference(rew,[status(thm),theory(equality)],[64,3574]),
[iquote('6:Rew:64.0,3574.0')] ).
cnf(3779,plain,
( equal(h1(e14),e21)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[3692,3713]),
[iquote('6:MRR:3692.1,3713.0')] ).
cnf(3781,plain,
( equal(op2(e21,e22),e21)
| equal(e22,e21)
| equal(op2(e20,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[65,3618]),
[iquote('6:Rew:65.0,3618.1')] ).
cnf(3782,plain,
equal(op2(e20,e22),e21),
inference(mrr,[status(thm)],[3781,3714,15]),
[iquote('6:MRR:3781.0,3781.1,3714.0,15.0')] ).
cnf(3783,plain,
~ equal(h1(e14),e21),
inference(rew,[status(thm),theory(equality)],[3782,737]),
[iquote('6:Rew:3782.0,737.0')] ).
cnf(3787,plain,
~ equal(op2(e20,e23),e21),
inference(rew,[status(thm),theory(equality)],[3782,337]),
[iquote('6:Rew:3782.0,337.0')] ).
cnf(3794,plain,
equal(op2(e22,e20),e21),
inference(mrr,[status(thm)],[3779,3783]),
[iquote('6:MRR:3779.0,3783.0')] ).
cnf(3799,plain,
~ equal(op2(e22,e23),e21),
inference(rew,[status(thm),theory(equality)],[3794,352]),
[iquote('6:Rew:3794.0,352.0')] ).
cnf(3834,plain,
( equal(op2(e21,e23),e21)
| equal(e23,e21)
| equal(op2(e22,e23),e21)
| equal(op2(e20,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[67,3604]),
[iquote('6:Rew:67.0,3604.1')] ).
cnf(3835,plain,
$false,
inference(mrr,[status(thm)],[3834,3717,16,3799,3787]),
[iquote('6:MRR:3834.0,3834.1,3834.2,3834.3,3717.0,16.0,3799.0,3787.0')] ).
cnf(3855,plain,
~ equal(e24,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[3835,3538]),
[iquote('6:Spt:3835.0,3537.0,3538.0')] ).
cnf(3856,plain,
( equal(e23,unit2)
| equal(e22,unit2)
| equal(e20,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[3537]),
[iquote('6:Spt:3835.0,3537.1,3537.2,3537.3')] ).
cnf(3857,plain,
equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[3856]),
[iquote('7:Spt:3856.0')] ).
cnf(3878,plain,
~ equal(op2(e22,e20),op2(unit2,e20)),
inference(rew,[status(thm),theory(equality)],[3857,287]),
[iquote('7:Rew:3857.0,287.0')] ).
cnf(3886,plain,
~ equal(op2(e20,e21),op2(unit2,e21)),
inference(rew,[status(thm),theory(equality)],[3857,292]),
[iquote('7:Rew:3857.0,292.0')] ).
cnf(3893,plain,
~ equal(op2(e24,e21),op2(unit2,e21)),
inference(rew,[status(thm),theory(equality)],[3857,299]),
[iquote('7:Rew:3857.0,299.0')] ).
cnf(3904,plain,
~ equal(op2(e24,e22),op2(unit2,e22)),
inference(rew,[status(thm),theory(equality)],[3857,309]),
[iquote('7:Rew:3857.0,309.0')] ).
cnf(3919,plain,
~ equal(op2(e22,e20),op2(e22,unit2)),
inference(rew,[status(thm),theory(equality)],[3857,352]),
[iquote('7:Rew:3857.0,352.0')] ).
cnf(3959,plain,
( equal(h1(e14),e21)
| equal(op2(e20,e21),e21)
| equal(op2(e20,unit2),e21)
| equal(op2(e20,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[3857,970]),
[iquote('7:Rew:3857.0,970.2')] ).
cnf(3978,plain,
~ equal(op2(e24,unit2),h5(e13)),
inference(rew,[status(thm),theory(equality)],[3857,792]),
[iquote('7:Rew:3857.0,792.0')] ).
cnf(3985,plain,
~ equal(op2(e24,e21),op2(e24,unit2)),
inference(rew,[status(thm),theory(equality)],[3857,375]),
[iquote('7:Rew:3857.0,375.0')] ).
cnf(3992,plain,
( equal(h5(e13),e24)
| equal(h5(e13),unit2)
| equal(h5(e13),e22)
| equal(h5(e13),e21) ),
inference(rew,[status(thm),theory(equality)],[3857,979]),
[iquote('7:Rew:3857.0,979.1')] ).
cnf(3996,plain,
( equal(op2(e24,e21),e24)
| equal(op2(e24,e21),e21)
| equal(op2(e24,e21),unit2)
| equal(op2(e24,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[3857,977]),
[iquote('7:Rew:3857.0,977.2')] ).
cnf(4001,plain,
( equal(op2(e24,e22),e22)
| equal(op2(e24,e22),unit2)
| equal(op2(e24,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[3857,976]),
[iquote('7:Rew:3857.0,976.1')] ).
cnf(4050,plain,
~ equal(h5(e13),e24),
inference(rew,[status(thm),theory(equality)],[70,3978]),
[iquote('7:Rew:70.0,3978.0')] ).
cnf(4059,plain,
~ equal(op2(e22,e20),e20),
inference(rew,[status(thm),theory(equality)],[61,3878]),
[iquote('7:Rew:61.0,3878.0')] ).
cnf(4060,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[987,4059]),
[iquote('7:MRR:987.1,4059.0')] ).
cnf(4061,plain,
~ equal(op2(e20,e21),e21),
inference(rew,[status(thm),theory(equality)],[63,3886]),
[iquote('7:Rew:63.0,3886.0')] ).
cnf(4066,plain,
~ equal(op2(e24,e21),e21),
inference(rew,[status(thm),theory(equality)],[63,3893]),
[iquote('7:Rew:63.0,3893.0')] ).
cnf(4070,plain,
~ equal(op2(e24,e22),e22),
inference(rew,[status(thm),theory(equality)],[65,3904]),
[iquote('7:Rew:65.0,3904.0')] ).
cnf(4073,plain,
~ equal(op2(e22,e20),e22),
inference(rew,[status(thm),theory(equality)],[66,3919]),
[iquote('7:Rew:66.0,3919.0')] ).
cnf(4088,plain,
~ equal(op2(e24,e21),e24),
inference(rew,[status(thm),theory(equality)],[70,3985]),
[iquote('7:Rew:70.0,3985.0')] ).
cnf(4111,plain,
equal(op2(e22,e20),e21),
inference(mrr,[status(thm)],[4060,4073]),
[iquote('7:MRR:4060.0,4073.0')] ).
cnf(4113,plain,
~ equal(h5(e13),e21),
inference(rew,[status(thm),theory(equality)],[4111,796]),
[iquote('7:Rew:4111.0,796.0')] ).
cnf(4114,plain,
~ equal(h1(e14),e21),
inference(rew,[status(thm),theory(equality)],[4111,760]),
[iquote('7:Rew:4111.0,760.0')] ).
cnf(4157,plain,
( equal(op2(e24,e22),unit2)
| equal(op2(e24,e22),e21) ),
inference(mrr,[status(thm)],[4001,4070]),
[iquote('7:MRR:4001.0,4070.0')] ).
cnf(4160,plain,
( equal(h5(e13),unit2)
| equal(h5(e13),e22) ),
inference(mrr,[status(thm)],[3992,4050,4113]),
[iquote('7:MRR:3992.0,3992.3,4050.0,4113.0')] ).
cnf(4180,plain,
( equal(h1(e14),e21)
| equal(op2(e20,e21),e21)
| equal(e21,e20)
| equal(op2(e20,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[62,3959]),
[iquote('7:Rew:62.0,3959.2')] ).
cnf(4181,plain,
equal(op2(e20,e22),e21),
inference(mrr,[status(thm)],[4180,4114,4061,11]),
[iquote('7:MRR:4180.0,4180.1,4180.2,4114.0,4061.0,11.0')] ).
cnf(4184,plain,
~ equal(op2(e24,e22),e21),
inference(rew,[status(thm),theory(equality)],[4181,303]),
[iquote('7:Rew:4181.0,303.0')] ).
cnf(4192,plain,
equal(op2(e24,e22),unit2),
inference(mrr,[status(thm)],[4157,4184]),
[iquote('7:MRR:4157.1,4184.0')] ).
cnf(4195,plain,
~ equal(h5(e13),unit2),
inference(rew,[status(thm),theory(equality)],[4192,793]),
[iquote('7:Rew:4192.0,793.0')] ).
cnf(4196,plain,
~ equal(op2(e24,e21),unit2),
inference(rew,[status(thm),theory(equality)],[4192,374]),
[iquote('7:Rew:4192.0,374.0')] ).
cnf(4201,plain,
equal(h5(e13),e22),
inference(mrr,[status(thm)],[4160,4195]),
[iquote('7:MRR:4160.0,4195.0')] ).
cnf(4207,plain,
~ equal(op2(e24,e21),e22),
inference(rew,[status(thm),theory(equality)],[4201,794]),
[iquote('7:Rew:4201.0,794.0')] ).
cnf(4241,plain,
$false,
inference(mrr,[status(thm)],[3996,4088,4066,4196,4207]),
[iquote('7:MRR:3996.0,3996.1,3996.2,3996.3,4088.0,4066.0,4196.0,4207.0')] ).
cnf(4262,plain,
~ equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2sa)])],[4241,3857]),
[iquote('7:Spt:4241.0,3856.0,3857.0')] ).
cnf(4263,plain,
( equal(e22,unit2)
| equal(e20,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[3856]),
[iquote('7:Spt:4241.0,3856.1,3856.2')] ).
cnf(4264,plain,
equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s1)])],[4263]),
[iquote('8:Spt:4263.0')] ).
cnf(4265,plain,
~ equal(e20,unit2),
inference(rew,[status(thm),theory(equality)],[4264,12]),
[iquote('8:Rew:4264.0,12.0')] ).
cnf(4400,plain,
( equal(op2(e24,unit2),unit2)
| equal(op2(e23,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e20,e22),e22) ),
inference(rew,[status(thm),theory(equality)],[4264,928]),
[iquote('8:Rew:4264.0,928.0')] ).
cnf(4537,plain,
( equal(e24,unit2)
| equal(e23,unit2)
| equal(e21,unit2)
| equal(e20,unit2) ),
inference(rew,[status(thm),theory(equality)],[62,4400,4264,64,68,70]),
[iquote('8:Rew:62.0,4400.3,4264.0,4400.3,64.0,4400.2,4264.0,4400.2,68.0,4400.1,4264.0,4400.1,70.0,4400.0')] ).
cnf(4538,plain,
$false,
inference(mrr,[status(thm)],[4537,3855,4262,3536,4265]),
[iquote('8:MRR:4537.0,4537.1,4537.2,4537.3,3855.0,4262.0,3536.0,4265.0')] ).
cnf(4556,plain,
~ equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2sa)])],[4538,4264]),
[iquote('8:Spt:4538.0,4263.0,4264.0')] ).
cnf(4557,plain,
equal(e20,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2)])],[4263]),
[iquote('8:Spt:4538.0,4263.1')] ).
cnf(4558,plain,
equal(op2(unit2,unit2),unit2),
inference(rew,[status(thm),theory(equality)],[4557,62]),
[iquote('8:Rew:4557.0,62.0')] ).
cnf(4569,plain,
( ~ equal(h2(unit1),unit2)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[4557,2738]),
[iquote('8:Rew:4557.0,2738.0')] ).
cnf(4588,plain,
equal(op2(e24,e24),unit2),
inference(rew,[status(thm),theory(equality)],[4557,778]),
[iquote('8:Rew:4557.0,778.0')] ).
cnf(4593,plain,
~ equal(op2(e21,e24),op2(unit2,e24)),
inference(rew,[status(thm),theory(equality)],[4557,320]),
[iquote('8:Rew:4557.0,320.0')] ).
cnf(4611,plain,
~ equal(op2(e23,unit2),h4(e14)),
inference(rew,[status(thm),theory(equality)],[4557,723]),
[iquote('8:Rew:4557.0,723.0')] ).
cnf(4620,plain,
equal(op2(e24,unit2),h5(e13)),
inference(rew,[status(thm),theory(equality)],[4557,782]),
[iquote('8:Rew:4557.0,782.0')] ).
cnf(4623,plain,
~ equal(op2(e24,e23),op2(unit2,e23)),
inference(rew,[status(thm),theory(equality)],[4557,313]),
[iquote('8:Rew:4557.0,313.0')] ).
cnf(4625,plain,
~ equal(op2(e21,e23),op2(unit2,e23)),
inference(rew,[status(thm),theory(equality)],[4557,310]),
[iquote('8:Rew:4557.0,310.0')] ).
cnf(4631,plain,
( ~ skC32
| ~ equal(op2(unit2,op2(unit2,e23)),e23) ),
inference(rew,[status(thm),theory(equality)],[4557,459]),
[iquote('8:Rew:4557.0,459.1')] ).
cnf(4654,plain,
equal(h5(e13),e24),
inference(rew,[status(thm),theory(equality)],[70,4620]),
[iquote('8:Rew:70.0,4620.0')] ).
cnf(4681,plain,
~ equal(h4(e14),e23),
inference(rew,[status(thm),theory(equality)],[68,4611]),
[iquote('8:Rew:68.0,4611.0')] ).
cnf(4696,plain,
~ equal(op2(e23,e22),e22),
inference(rew,[status(thm),theory(equality)],[65,302,4557]),
[iquote('8:Rew:65.0,302.0,4557.0,302.0')] ).
cnf(4698,plain,
~ equal(op2(e21,e22),e21),
inference(rew,[status(thm),theory(equality)],[64,341,4557]),
[iquote('8:Rew:64.0,341.0,4557.0,341.0')] ).
cnf(4699,plain,
~ equal(op2(e23,e22),e23),
inference(rew,[status(thm),theory(equality)],[68,361,4557]),
[iquote('8:Rew:68.0,361.0,4557.0,361.0')] ).
cnf(4700,plain,
~ equal(op2(e22,e21),e21),
inference(rew,[status(thm),theory(equality)],[63,291,4557]),
[iquote('8:Rew:63.0,291.0,4557.0,291.0')] ).
cnf(4701,plain,
~ equal(op2(e22,e21),e22),
inference(rew,[status(thm),theory(equality)],[66,350,4557]),
[iquote('8:Rew:66.0,350.0,4557.0,350.0')] ).
cnf(4702,plain,
~ equal(op2(e22,e23),e22),
inference(rew,[status(thm),theory(equality)],[66,352,4557]),
[iquote('8:Rew:66.0,352.0,4557.0,352.0')] ).
cnf(4710,plain,
~ equal(op2(e21,e24),e24),
inference(rew,[status(thm),theory(equality)],[69,4593]),
[iquote('8:Rew:69.0,4593.0')] ).
cnf(4714,plain,
~ equal(op2(e24,e23),e23),
inference(rew,[status(thm),theory(equality)],[67,4623]),
[iquote('8:Rew:67.0,4623.0')] ).
cnf(4716,plain,
~ equal(op2(e21,e23),e23),
inference(rew,[status(thm),theory(equality)],[67,4625]),
[iquote('8:Rew:67.0,4625.0')] ).
cnf(4730,plain,
equal(op2(e21,e24),e22),
inference(mrr,[status(thm)],[988,4710]),
[iquote('8:MRR:988.0,4710.0')] ).
cnf(4748,plain,
( ~ skC32
| ~ equal(e23,e23) ),
inference(rew,[status(thm),theory(equality)],[67,4631]),
[iquote('8:Rew:67.0,4631.1,67.0,4631.1')] ).
cnf(4749,plain,
~ skC32,
inference(obv,[status(thm),theory(equality)],[4748]),
[iquote('8:Obv:4748.1')] ).
cnf(4750,plain,
( skC34
| skC33
| equal(op2(e23,op2(e24,e23)),e24) ),
inference(mrr,[status(thm)],[866,4749]),
[iquote('8:MRR:866.2,4749.0')] ).
cnf(4760,plain,
( equal(op2(e21,e22),e21)
| equal(op2(e24,e22),e21)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[65,932,4557]),
[iquote('8:Rew:65.0,932.2,4557.0,932.2')] ).
cnf(4761,plain,
equal(op2(e24,e22),e21),
inference(mrr,[status(thm)],[4760,4698,15]),
[iquote('8:MRR:4760.0,4760.2,4698.0,15.0')] ).
cnf(4774,plain,
( equal(op2(e23,e22),e23)
| equal(op2(e23,e22),e22)
| equal(op2(e23,e22),unit2) ),
inference(rew,[status(thm),theory(equality)],[4557,982]),
[iquote('8:Rew:4557.0,982.2')] ).
cnf(4775,plain,
equal(op2(e23,e22),unit2),
inference(mrr,[status(thm)],[4774,4699,4696]),
[iquote('8:MRR:4774.0,4774.1,4699.0,4696.0')] ).
cnf(4778,plain,
~ equal(h4(e14),unit2),
inference(rew,[status(thm),theory(equality)],[4775,721]),
[iquote('8:Rew:4775.0,721.0')] ).
cnf(4790,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),unit2) ),
inference(rew,[status(thm),theory(equality)],[4557,986]),
[iquote('8:Rew:4557.0,986.2')] ).
cnf(4791,plain,
equal(op2(e22,e21),unit2),
inference(mrr,[status(thm)],[4790,4701,4700]),
[iquote('8:MRR:4790.0,4790.1,4701.0,4700.0')] ).
cnf(4794,plain,
~ equal(h2(e14),unit2),
inference(rew,[status(thm),theory(equality)],[4791,756]),
[iquote('8:Rew:4791.0,756.0')] ).
cnf(4799,plain,
~ equal(op2(e22,e23),unit2),
inference(rew,[status(thm),theory(equality)],[4791,355]),
[iquote('8:Rew:4791.0,355.0')] ).
cnf(4806,plain,
( equal(op2(e22,e23),e22)
| equal(op2(e22,e23),e21)
| equal(op2(e22,e23),unit2) ),
inference(rew,[status(thm),theory(equality)],[4557,985]),
[iquote('8:Rew:4557.0,985.2')] ).
cnf(4807,plain,
equal(op2(e22,e23),e21),
inference(mrr,[status(thm)],[4806,4702,4799]),
[iquote('8:MRR:4806.0,4806.2,4702.0,4799.0')] ).
cnf(4814,plain,
( ~ skC34
| equal(op2(e23,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[4807,419]),
[iquote('8:Rew:4807.0,419.1')] ).
cnf(4820,plain,
( equal(h4(e14),e24)
| equal(h4(e14),e23)
| equal(h4(e14),e22)
| equal(h4(e14),unit2) ),
inference(rew,[status(thm),theory(equality)],[4557,981]),
[iquote('8:Rew:4557.0,981.3')] ).
cnf(4821,plain,
( equal(h4(e14),e24)
| equal(h4(e14),e22) ),
inference(mrr,[status(thm)],[4820,4681,4778]),
[iquote('8:MRR:4820.1,4820.3,4681.0,4778.0')] ).
cnf(4824,plain,
( equal(e24,e22)
| equal(e22,e21)
| equal(op2(e24,e23),e22)
| equal(op2(e24,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[4761,905,4654]),
[iquote('8:Rew:4761.0,905.1,4654.0,905.0')] ).
cnf(4825,plain,
( equal(op2(e24,e23),e22)
| equal(op2(e24,e21),e22) ),
inference(mrr,[status(thm)],[4824,19,15]),
[iquote('8:MRR:4824.0,4824.1,19.0,15.0')] ).
cnf(4826,plain,
( equal(e24,e23)
| equal(op2(e24,e23),e23)
| equal(e23,e21)
| equal(op2(e24,e21),e23) ),
inference(rew,[status(thm),theory(equality)],[4761,901,4654]),
[iquote('8:Rew:4761.0,901.2,4654.0,901.0')] ).
cnf(4827,plain,
equal(op2(e24,e21),e23),
inference(mrr,[status(thm)],[4826,20,4714,16]),
[iquote('8:MRR:4826.0,4826.1,4826.2,20.0,4714.0,16.0')] ).
cnf(4828,plain,
~ equal(h2(e14),e23),
inference(rew,[status(thm),theory(equality)],[4827,754]),
[iquote('8:Rew:4827.0,754.0')] ).
cnf(4836,plain,
( equal(op2(e24,e23),e22)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[4827,4825]),
[iquote('8:Rew:4827.0,4825.1')] ).
cnf(4837,plain,
equal(op2(e24,e23),e22),
inference(mrr,[status(thm)],[4836,18]),
[iquote('8:MRR:4836.1,18.0')] ).
cnf(4838,plain,
~ equal(h4(e14),e22),
inference(rew,[status(thm),theory(equality)],[4837,746]),
[iquote('8:Rew:4837.0,746.0')] ).
cnf(4843,plain,
( skC34
| skC33
| equal(op2(e23,e22),e24) ),
inference(rew,[status(thm),theory(equality)],[4837,4750]),
[iquote('8:Rew:4837.0,4750.2')] ).
cnf(4846,plain,
equal(h4(e14),e24),
inference(mrr,[status(thm)],[4821,4838]),
[iquote('8:MRR:4821.1,4838.0')] ).
cnf(4848,plain,
equal(op2(e23,e23),e24),
inference(rew,[status(thm),theory(equality)],[4846,176]),
[iquote('8:Rew:4846.0,176.0')] ).
cnf(4873,plain,
( skC34
| skC33
| equal(e24,unit2) ),
inference(rew,[status(thm),theory(equality)],[4775,4843]),
[iquote('8:Rew:4775.0,4843.2')] ).
cnf(4874,plain,
( skC34
| skC33 ),
inference(mrr,[status(thm)],[4873,3855]),
[iquote('8:MRR:4873.2,3855.0')] ).
cnf(4881,plain,
( equal(h2(e14),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e21,e22),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[64,946,4557]),
[iquote('8:Rew:64.0,946.3,4557.0,946.3')] ).
cnf(4882,plain,
equal(op2(e21,e22),e23),
inference(mrr,[status(thm)],[4881,4828,4716,16]),
[iquote('8:MRR:4881.0,4881.1,4881.3,4828.0,4716.0,16.0')] ).
cnf(4892,plain,
( equal(h2(e14),unit2)
| equal(e21,unit2)
| equal(op2(e21,e23),unit2)
| equal(e23,unit2) ),
inference(rew,[status(thm),theory(equality)],[4882,956,4557,64]),
[iquote('8:Rew:4882.0,956.3,4557.0,956.3,4557.0,956.2,64.0,956.1,4557.0,956.1,4557.0,956.0')] ).
cnf(4893,plain,
equal(op2(e21,e23),unit2),
inference(mrr,[status(thm)],[4892,4794,3536,4262]),
[iquote('8:MRR:4892.0,4892.1,4892.3,4794.0,3536.0,4262.0')] ).
cnf(4895,plain,
( ~ skC33
| equal(op2(e23,unit2),e21) ),
inference(rew,[status(thm),theory(equality)],[4893,418]),
[iquote('8:Rew:4893.0,418.1')] ).
cnf(4901,plain,
( ~ skC33
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[68,4895]),
[iquote('8:Rew:68.0,4895.1')] ).
cnf(4902,plain,
~ skC33,
inference(mrr,[status(thm)],[4901,16]),
[iquote('8:MRR:4901.1,16.0')] ).
cnf(4903,plain,
skC34,
inference(mrr,[status(thm)],[4874,4902]),
[iquote('8:MRR:4874.1,4902.0')] ).
cnf(4904,plain,
equal(op2(e23,e21),e22),
inference(mrr,[status(thm)],[4814,4903]),
[iquote('8:MRR:4814.0,4903.0')] ).
cnf(4920,plain,
( equal(h2(e14),e24)
| equal(e24,e23)
| equal(e24,e22)
| equal(e24,e21) ),
inference(rew,[status(thm),theory(equality)],[63,940,4557,4904,4827]),
[iquote('8:Rew:63.0,940.3,4557.0,940.3,4904.0,940.2,4827.0,940.1')] ).
cnf(4921,plain,
equal(h2(e14),e24),
inference(mrr,[status(thm)],[4920,20,19,17]),
[iquote('8:MRR:4920.1,4920.2,4920.3,20.0,19.0,17.0')] ).
cnf(4923,plain,
equal(op2(e21,e24),h2(e13)),
inference(rew,[status(thm),theory(equality)],[4921,714]),
[iquote('8:Rew:4921.0,714.0')] ).
cnf(4924,plain,
equal(op2(e24,e24),h2(unit1)),
inference(rew,[status(thm),theory(equality)],[4921,2739]),
[iquote('8:Rew:4921.0,2739.0')] ).
cnf(4925,plain,
equal(op2(h2(e13),e24),h2(e11)),
inference(rew,[status(thm),theory(equality)],[4921,881]),
[iquote('8:Rew:4921.0,881.0')] ).
cnf(4926,plain,
( ~ skC47
| ~ skC46
| ~ skC44
| ~ equal(e24,e24)
| ~ equal(op2(e21,h2(e13)),h2(e11))
| ~ equal(op2(e21,h2(e11)),h2(unit1))
| ~ equal(op2(e21,h2(unit1)),e21)
| ~ equal(op2(h2(e14),e21),h2(e11))
| ~ equal(op2(h2(e13),e21),h2(unit1))
| ~ equal(op2(h2(e11),e21),h2(e13))
| ~ equal(op2(h2(unit1),e21),e21)
| ~ equal(op2(h2(e13),h2(e13)),h2(e14))
| ~ equal(op2(h2(e11),h2(e11)),h2(e14))
| ~ equal(op2(h2(unit1),h2(unit1)),h2(unit1))
| ~ equal(op2(h2(e14),h2(e13)),e21)
| ~ equal(op2(h2(e14),h2(e11)),h2(e13))
| ~ equal(op2(h2(e14),h2(unit1)),h2(e14))
| ~ equal(op2(h2(e13),h2(e11)),e21)
| ~ equal(op2(h2(e13),h2(unit1)),h2(e13))
| ~ equal(op2(h2(e11),h2(e14)),e21)
| ~ equal(op2(h2(e11),h2(e13)),h2(unit1))
| ~ equal(op2(h2(e11),h2(unit1)),h2(e11))
| ~ equal(op2(h2(unit1),h2(e14)),h2(e14))
| ~ equal(op2(h2(unit1),h2(e13)),h2(e13))
| ~ equal(op2(h2(unit1),h2(e11)),h2(e11)) ),
inference(rew,[status(thm),theory(equality)],[4921,3035]),
[iquote('8:Rew:4921.0,3035.3')] ).
cnf(4934,plain,
equal(h2(e13),e22),
inference(rew,[status(thm),theory(equality)],[4730,4923]),
[iquote('8:Rew:4730.0,4923.0')] ).
cnf(4936,plain,
( ~ equal(e22,e22)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[4934,106]),
[iquote('8:Rew:4934.0,106.0')] ).
cnf(4938,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[4936]),
[iquote('8:Obv:4936.0')] ).
cnf(4939,plain,
equal(h2(unit1),unit2),
inference(rew,[status(thm),theory(equality)],[4588,4924]),
[iquote('8:Rew:4588.0,4924.0')] ).
cnf(4941,plain,
( ~ equal(unit2,unit2)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[4939,4569]),
[iquote('8:Rew:4939.0,4569.0')] ).
cnf(4942,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[4941]),
[iquote('8:Obv:4941.0')] ).
cnf(4943,plain,
equal(h2(e11),e23),
inference(rew,[status(thm),theory(equality)],[705,4925,4934]),
[iquote('8:Rew:705.0,4925.0,4934.0,4925.0')] ).
cnf(4944,plain,
( ~ equal(e23,e23)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[4943,109]),
[iquote('8:Rew:4943.0,109.0')] ).
cnf(4945,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[4944]),
[iquote('8:Obv:4944.0')] ).
cnf(4971,plain,
( ~ skC47
| ~ skC46
| ~ skC44
| ~ equal(op2(e21,h2(e13)),h2(e11))
| ~ equal(op2(e21,h2(e11)),h2(unit1))
| ~ equal(op2(e21,h2(unit1)),e21)
| ~ equal(op2(h2(e14),e21),h2(e11))
| ~ equal(op2(h2(e13),e21),h2(unit1))
| ~ equal(op2(h2(e11),e21),h2(e13))
| ~ equal(op2(h2(unit1),e21),e21)
| ~ equal(op2(h2(e13),h2(e13)),h2(e14))
| ~ equal(op2(h2(e11),h2(e11)),h2(e14))
| ~ equal(op2(h2(unit1),h2(unit1)),h2(unit1))
| ~ equal(op2(h2(e14),h2(e13)),e21)
| ~ equal(op2(h2(e14),h2(e11)),h2(e13))
| ~ equal(op2(h2(e14),h2(unit1)),h2(e14))
| ~ equal(op2(h2(e13),h2(e11)),e21)
| ~ equal(op2(h2(e13),h2(unit1)),h2(e13))
| ~ equal(op2(h2(e11),h2(e14)),e21)
| ~ equal(op2(h2(e11),h2(e13)),h2(unit1))
| ~ equal(op2(h2(e11),h2(unit1)),h2(e11))
| ~ equal(op2(h2(unit1),h2(e14)),h2(e14))
| ~ equal(op2(h2(unit1),h2(e13)),h2(e13))
| ~ equal(op2(h2(unit1),h2(e11)),h2(e11)) ),
inference(obv,[status(thm),theory(equality)],[4926]),
[iquote('8:Obv:4926.3')] ).
cnf(4972,plain,
( ~ skC47
| ~ skC46
| ~ skC44
| ~ equal(e23,e23)
| ~ equal(unit2,unit2)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(unit2,unit2)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(e24,e24)
| ~ equal(e24,e24)
| ~ equal(unit2,unit2)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e24,e24)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(unit2,unit2)
| ~ equal(e23,e23)
| ~ equal(e24,e24)
| ~ equal(e22,e22)
| ~ equal(e23,e23) ),
inference(rew,[status(thm),theory(equality)],[67,4971,4939,4943,65,4934,69,4921,68,4775,843,66,4807,70,4837,4761,4558,4848,72,63,4904,4791,4827,64,4893,4882]),
[iquote('8:Rew:67.0,4971.23,4939.0,4971.23,4943.0,4971.23,65.0,4971.22,4939.0,4971.22,4934.0,4971.22,69.0,4971.21,4939.0,4971.21,4921.0,4971.21,68.0,4971.20,4939.0,4971.20,4943.0,4971.20,4775.0,4971.19,4943.0,4971.19,4934.0,4971.19,4939.0,4971.19,843.0,4971.18,4943.0,4971.18,4921.0,4971.18,66.0,4971.17,4939.0,4971.17,4934.0,4971.17,4807.0,4971.16,4934.0,4971.16,4943.0,4971.16,70.0,4971.15,4939.0,4971.15,4921.0,4971.15,4837.0,4971.14,4921.0,4971.14,4943.0,4971.14,4934.0,4971.14,4761.0,4971.13,4921.0,4971.13,4934.0,4971.13,4558.0,4971.12,4939.0,4971.12,4848.0,4971.11,4943.0,4971.11,4921.0,4971.11,72.0,4971.10,4934.0,4971.10,4921.0,4971.10,63.0,4971.9,4939.0,4971.9,4904.0,4971.8,4943.0,4971.8,4934.0,4971.8,4791.0,4971.7,4934.0,4971.7,4939.0,4971.7,4827.0,4971.6,4921.0,4971.6,4943.0,4971.6,64.0,4971.5,4939.0,4971.5,4893.0,4971.4,4943.0,4971.4,4939.0,4971.4,4882.0,4971.3,4934.0,4971.3,4943.0,4971.3')] ).
cnf(4973,plain,
( ~ skC47
| ~ skC46
| ~ skC44 ),
inference(obv,[status(thm),theory(equality)],[4972]),
[iquote('8:Obv:4972.23')] ).
cnf(4974,plain,
$false,
inference(mrr,[status(thm)],[4973,4945,4938,4942]),
[iquote('8:MRR:4973.0,4973.1,4973.2,4945.0,4938.0,4942.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG050+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 03:54:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.09/1.30
% 1.09/1.30 SPASS V 3.9
% 1.09/1.30 SPASS beiseite: Proof found.
% 1.09/1.30 % SZS status Theorem
% 1.09/1.30 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/1.30 SPASS derived 2366 clauses, backtracked 1775 clauses, performed 8 splits and kept 3528 clauses.
% 1.09/1.30 SPASS allocated 89410 KBytes.
% 1.09/1.30 SPASS spent 0:00:00.96 on the problem.
% 1.09/1.30 0:00:00.04 for the input.
% 1.09/1.30 0:00:00.16 for the FLOTTER CNF translation.
% 1.09/1.30 0:00:00.00 for inferences.
% 1.09/1.30 0:00:00.02 for the backtracking.
% 1.09/1.30 0:00:00.66 for the reduction.
% 1.09/1.30
% 1.09/1.30
% 1.09/1.30 Here is a proof with depth 4, length 823 :
% 1.09/1.30 % SZS output start Refutation
% See solution above
% 1.09/1.32 Formulae used in the proof : ax9 ax10 ax17 ax2 ax5 ax14 ax15 co1 ax16 ax19 ax20 ax7 ax8 ax12 ax13 ax6 ax4 ax3 ax1
% 1.09/1.32
%------------------------------------------------------------------------------