TSTP Solution File: ALG051+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG051+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:02:07 EDT 2022
% Result : Theorem 0.99s 1.19s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 272
% Syntax : Number of clauses : 982 ( 589 unt; 263 nHn; 982 RR)
% Number of literals : 2089 ( 0 equ; 813 neg)
% Maximal clause size : 30 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 13 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('ALG051+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG051+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG051+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e14,e10),
file('ALG051+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e12,e11),
file('ALG051+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e11),
file('ALG051+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e14,e11),
file('ALG051+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e13,e12),
file('ALG051+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e14,e12),
file('ALG051+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e14,e13),
file('ALG051+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e21,e20),
file('ALG051+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e22,e20),
file('ALG051+1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(e23,e20),
file('ALG051+1.p',unknown),
[] ).
cnf(14,axiom,
~ equal(e24,e20),
file('ALG051+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(e22,e21),
file('ALG051+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(e23,e21),
file('ALG051+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(e24,e21),
file('ALG051+1.p',unknown),
[] ).
cnf(18,axiom,
~ equal(e23,e22),
file('ALG051+1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(e24,e22),
file('ALG051+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(e24,e23),
file('ALG051+1.p',unknown),
[] ).
cnf(50,axiom,
equal(h5(e12),e24),
file('ALG051+1.p',unknown),
[] ).
cnf(51,axiom,
equal(op1(unit1,e10),e10),
file('ALG051+1.p',unknown),
[] ).
cnf(52,axiom,
equal(op1(e10,unit1),e10),
file('ALG051+1.p',unknown),
[] ).
cnf(53,axiom,
equal(op1(unit1,e11),e11),
file('ALG051+1.p',unknown),
[] ).
cnf(54,axiom,
equal(op1(e11,unit1),e11),
file('ALG051+1.p',unknown),
[] ).
cnf(55,axiom,
equal(op1(unit1,e12),e12),
file('ALG051+1.p',unknown),
[] ).
cnf(56,axiom,
equal(op1(e12,unit1),e12),
file('ALG051+1.p',unknown),
[] ).
cnf(57,axiom,
equal(op1(unit1,e13),e13),
file('ALG051+1.p',unknown),
[] ).
cnf(58,axiom,
equal(op1(e13,unit1),e13),
file('ALG051+1.p',unknown),
[] ).
cnf(59,axiom,
equal(op1(unit1,e14),e14),
file('ALG051+1.p',unknown),
[] ).
cnf(60,axiom,
equal(op1(e14,unit1),e14),
file('ALG051+1.p',unknown),
[] ).
cnf(61,axiom,
equal(op2(unit2,e20),e20),
file('ALG051+1.p',unknown),
[] ).
cnf(62,axiom,
equal(op2(e20,unit2),e20),
file('ALG051+1.p',unknown),
[] ).
cnf(63,axiom,
equal(op2(unit2,e21),e21),
file('ALG051+1.p',unknown),
[] ).
cnf(64,axiom,
equal(op2(e21,unit2),e21),
file('ALG051+1.p',unknown),
[] ).
cnf(65,axiom,
equal(op2(unit2,e22),e22),
file('ALG051+1.p',unknown),
[] ).
cnf(66,axiom,
equal(op2(e22,unit2),e22),
file('ALG051+1.p',unknown),
[] ).
cnf(67,axiom,
equal(op2(unit2,e23),e23),
file('ALG051+1.p',unknown),
[] ).
cnf(68,axiom,
equal(op2(e23,unit2),e23),
file('ALG051+1.p',unknown),
[] ).
cnf(69,axiom,
equal(op2(unit2,e24),e24),
file('ALG051+1.p',unknown),
[] ).
cnf(70,axiom,
equal(op2(e24,unit2),e24),
file('ALG051+1.p',unknown),
[] ).
cnf(71,axiom,
equal(op1(e12,e12),e13),
file('ALG051+1.p',unknown),
[] ).
cnf(72,axiom,
equal(op2(e22,e22),e23),
file('ALG051+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ equal(h5(e10),e20)
| skC24 ),
file('ALG051+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ equal(h5(e11),e21)
| skC25 ),
file('ALG051+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ equal(h5(e13),e22)
| skC26 ),
file('ALG051+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ equal(h5(e14),e23)
| skC27 ),
file('ALG051+1.p',unknown),
[] ).
cnf(173,axiom,
equal(op2(e20,e20),h1(e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(174,axiom,
equal(op2(e21,e21),h2(e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(176,axiom,
equal(op2(e23,e23),h4(e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(177,axiom,
equal(op2(e24,e24),h5(e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(178,axiom,
equal(op1(op1(e12,e12),e12),e11),
file('ALG051+1.p',unknown),
[] ).
cnf(179,axiom,
equal(op2(op2(e22,e22),e22),e21),
file('ALG051+1.p',unknown),
[] ).
cnf(180,axiom,
~ equal(op1(e11,e10),op1(e10,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(181,axiom,
~ equal(op1(e12,e10),op1(e10,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(182,axiom,
~ equal(op1(e13,e10),op1(e10,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(183,axiom,
~ equal(op1(e14,e10),op1(e10,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(184,axiom,
~ equal(op1(e12,e10),op1(e11,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(185,axiom,
~ equal(op1(e13,e10),op1(e11,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(187,axiom,
~ equal(op1(e13,e10),op1(e12,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(188,axiom,
~ equal(op1(e14,e10),op1(e12,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(190,axiom,
~ equal(op1(e11,e11),op1(e10,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(191,axiom,
~ equal(op1(e12,e11),op1(e10,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(192,axiom,
~ equal(op1(e13,e11),op1(e10,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(194,axiom,
~ equal(op1(e12,e11),op1(e11,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(195,axiom,
~ equal(op1(e13,e11),op1(e11,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(196,axiom,
~ equal(op1(e14,e11),op1(e11,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(197,axiom,
~ equal(op1(e13,e11),op1(e12,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(198,axiom,
~ equal(op1(e14,e11),op1(e12,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(199,axiom,
~ equal(op1(e14,e11),op1(e13,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(200,axiom,
~ equal(op1(e11,e12),op1(e10,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(201,axiom,
~ equal(op1(e12,e12),op1(e10,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(202,axiom,
~ equal(op1(e13,e12),op1(e10,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(203,axiom,
~ equal(op1(e14,e12),op1(e10,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(204,axiom,
~ equal(op1(e12,e12),op1(e11,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(205,axiom,
~ equal(op1(e13,e12),op1(e11,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(208,axiom,
~ equal(op1(e14,e12),op1(e12,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(209,axiom,
~ equal(op1(e14,e12),op1(e13,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(210,axiom,
~ equal(op1(e11,e13),op1(e10,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(212,axiom,
~ equal(op1(e13,e13),op1(e10,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(213,axiom,
~ equal(op1(e14,e13),op1(e10,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(214,axiom,
~ equal(op1(e12,e13),op1(e11,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(215,axiom,
~ equal(op1(e13,e13),op1(e11,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(216,axiom,
~ equal(op1(e14,e13),op1(e11,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(217,axiom,
~ equal(op1(e13,e13),op1(e12,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(223,axiom,
~ equal(op1(e14,e14),op1(e10,e14)),
file('ALG051+1.p',unknown),
[] ).
cnf(224,axiom,
~ equal(op1(e12,e14),op1(e11,e14)),
file('ALG051+1.p',unknown),
[] ).
cnf(227,axiom,
~ equal(op1(e13,e14),op1(e12,e14)),
file('ALG051+1.p',unknown),
[] ).
cnf(231,axiom,
~ equal(op1(e10,e12),op1(e10,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(232,axiom,
~ equal(op1(e10,e13),op1(e10,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(234,axiom,
~ equal(op1(e10,e12),op1(e10,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(237,axiom,
~ equal(op1(e10,e13),op1(e10,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(239,axiom,
~ equal(op1(e10,e14),op1(e10,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(242,axiom,
~ equal(op1(e11,e13),op1(e11,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(244,axiom,
~ equal(op1(e11,e12),op1(e11,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(245,axiom,
~ equal(op1(e11,e13),op1(e11,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(247,axiom,
~ equal(op1(e11,e13),op1(e11,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(249,axiom,
~ equal(op1(e11,e14),op1(e11,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(250,axiom,
~ equal(op1(e12,e11),op1(e12,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(251,axiom,
~ equal(op1(e12,e12),op1(e12,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(252,axiom,
~ equal(op1(e12,e13),op1(e12,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(254,axiom,
~ equal(op1(e12,e12),op1(e12,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(255,axiom,
~ equal(op1(e12,e13),op1(e12,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(257,axiom,
~ equal(op1(e12,e13),op1(e12,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(260,axiom,
~ equal(op1(e13,e11),op1(e13,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(261,axiom,
~ equal(op1(e13,e12),op1(e13,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(262,axiom,
~ equal(op1(e13,e13),op1(e13,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(263,axiom,
~ equal(op1(e13,e14),op1(e13,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(264,axiom,
~ equal(op1(e13,e12),op1(e13,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(265,axiom,
~ equal(op1(e13,e13),op1(e13,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(266,axiom,
~ equal(op1(e13,e14),op1(e13,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(270,axiom,
~ equal(op1(e14,e11),op1(e14,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(271,axiom,
~ equal(op1(e14,e12),op1(e14,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(273,axiom,
~ equal(op1(e14,e14),op1(e14,e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(274,axiom,
~ equal(op1(e14,e12),op1(e14,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(275,axiom,
~ equal(op1(e14,e13),op1(e14,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(276,axiom,
~ equal(op1(e14,e14),op1(e14,e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(278,axiom,
~ equal(op1(e14,e14),op1(e14,e12)),
file('ALG051+1.p',unknown),
[] ).
cnf(279,axiom,
~ equal(op1(e14,e14),op1(e14,e13)),
file('ALG051+1.p',unknown),
[] ).
cnf(282,axiom,
~ equal(op2(e23,e20),op2(e20,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(287,axiom,
~ equal(op2(e23,e20),op2(e22,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(291,axiom,
~ equal(op2(e22,e21),op2(e20,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(294,axiom,
~ equal(op2(e22,e21),op2(e21,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(295,axiom,
~ equal(op2(e23,e21),op2(e21,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(297,axiom,
~ equal(op2(e23,e21),op2(e22,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(298,axiom,
~ equal(op2(e24,e21),op2(e22,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(300,axiom,
~ equal(op2(e21,e22),op2(e20,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(301,axiom,
~ equal(op2(e22,e22),op2(e20,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(304,axiom,
~ equal(op2(e22,e22),op2(e21,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(305,axiom,
~ equal(op2(e23,e22),op2(e21,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(306,axiom,
~ equal(op2(e24,e22),op2(e21,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(310,axiom,
~ equal(op2(e21,e23),op2(e20,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(311,axiom,
~ equal(op2(e22,e23),op2(e20,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(312,axiom,
~ equal(op2(e23,e23),op2(e20,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(313,axiom,
~ equal(op2(e24,e23),op2(e20,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(314,axiom,
~ equal(op2(e22,e23),op2(e21,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(315,axiom,
~ equal(op2(e23,e23),op2(e21,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(316,axiom,
~ equal(op2(e24,e23),op2(e21,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(319,axiom,
~ equal(op2(e24,e23),op2(e23,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(320,axiom,
~ equal(op2(e21,e24),op2(e20,e24)),
file('ALG051+1.p',unknown),
[] ).
cnf(321,axiom,
~ equal(op2(e22,e24),op2(e20,e24)),
file('ALG051+1.p',unknown),
[] ).
cnf(322,axiom,
~ equal(op2(e23,e24),op2(e20,e24)),
file('ALG051+1.p',unknown),
[] ).
cnf(324,axiom,
~ equal(op2(e22,e24),op2(e21,e24)),
file('ALG051+1.p',unknown),
[] ).
cnf(329,axiom,
~ equal(op2(e24,e24),op2(e23,e24)),
file('ALG051+1.p',unknown),
[] ).
cnf(337,axiom,
~ equal(op2(e20,e23),op2(e20,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(339,axiom,
~ equal(op2(e20,e24),op2(e20,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(340,axiom,
~ equal(op2(e21,e21),op2(e21,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(342,axiom,
~ equal(op2(e21,e23),op2(e21,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(344,axiom,
~ equal(op2(e21,e22),op2(e21,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(345,axiom,
~ equal(op2(e21,e23),op2(e21,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(347,axiom,
~ equal(op2(e21,e23),op2(e21,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(349,axiom,
~ equal(op2(e21,e24),op2(e21,e23)),
file('ALG051+1.p',unknown),
[] ).
cnf(350,axiom,
~ equal(op2(e22,e21),op2(e22,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(351,axiom,
~ equal(op2(e22,e22),op2(e22,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(352,axiom,
~ equal(op2(e22,e23),op2(e22,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(354,axiom,
~ equal(op2(e22,e22),op2(e22,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(355,axiom,
~ equal(op2(e22,e23),op2(e22,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(360,axiom,
~ equal(op2(e23,e21),op2(e23,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(361,axiom,
~ equal(op2(e23,e22),op2(e23,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(362,axiom,
~ equal(op2(e23,e23),op2(e23,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(363,axiom,
~ equal(op2(e23,e24),op2(e23,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(364,axiom,
~ equal(op2(e23,e22),op2(e23,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(365,axiom,
~ equal(op2(e23,e23),op2(e23,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(366,axiom,
~ equal(op2(e23,e24),op2(e23,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(368,axiom,
~ equal(op2(e23,e24),op2(e23,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(370,axiom,
~ equal(op2(e24,e21),op2(e24,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(373,axiom,
~ equal(op2(e24,e24),op2(e24,e20)),
file('ALG051+1.p',unknown),
[] ).
cnf(374,axiom,
~ equal(op2(e24,e22),op2(e24,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(376,axiom,
~ equal(op2(e24,e24),op2(e24,e21)),
file('ALG051+1.p',unknown),
[] ).
cnf(377,axiom,
~ equal(op2(e24,e23),op2(e24,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(378,axiom,
~ equal(op2(e24,e24),op2(e24,e22)),
file('ALG051+1.p',unknown),
[] ).
cnf(380,axiom,
equal(op2(op2(e20,e20),e20),h1(e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(381,axiom,
equal(op2(op2(e21,e21),e21),h2(e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(383,axiom,
equal(op2(op2(e23,e23),e23),h4(e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(384,axiom,
equal(op2(op2(e24,e24),e24),h5(e11)),
file('ALG051+1.p',unknown),
[] ).
cnf(385,axiom,
equal(op1(op1(e12,e12),op1(e12,e12)),e14),
file('ALG051+1.p',unknown),
[] ).
cnf(386,axiom,
equal(op2(op2(e22,e22),op2(e22,e22)),e24),
file('ALG051+1.p',unknown),
[] ).
cnf(390,axiom,
equal(op2(op2(e23,e23),op2(e23,e23)),h4(e14)),
file('ALG051+1.p',unknown),
[] ).
cnf(391,axiom,
equal(op2(op2(e24,e24),op2(e24,e24)),h5(e14)),
file('ALG051+1.p',unknown),
[] ).
cnf(398,axiom,
( ~ equal(e10,unit1)
| ~ equal(op1(e11,e11),e10)
| ~ skC0 ),
file('ALG051+1.p',unknown),
[] ).
cnf(434,axiom,
( ~ equal(e11,unit1)
| ~ equal(op1(e13,e12),e11)
| ~ skC1 ),
file('ALG051+1.p',unknown),
[] ).
cnf(479,axiom,
( ~ equal(e13,unit1)
| ~ equal(op1(e12,e12),e13)
| ~ skC3 ),
file('ALG051+1.p',unknown),
[] ).
cnf(498,axiom,
( ~ equal(e20,unit2)
| ~ equal(op2(e21,e21),e20)
| ~ skC4 ),
file('ALG051+1.p',unknown),
[] ).
cnf(546,axiom,
( ~ skC6
| ~ equal(e22,unit2)
| ~ equal(op2(e20,e24),e22) ),
file('ALG051+1.p',unknown),
[] ).
cnf(579,axiom,
( ~ equal(e23,unit2)
| ~ equal(op2(e22,e22),e23)
| ~ skC7 ),
file('ALG051+1.p',unknown),
[] ).
cnf(596,axiom,
( ~ equal(op1(e11,e11),e10)
| ~ skC0
| equal(op1(e11,e10),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(607,axiom,
( ~ equal(op1(e13,e14),e10)
| ~ skC0
| equal(op1(e13,e10),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(612,axiom,
( ~ equal(op1(e10,e10),e11)
| ~ skC1
| equal(op1(e10,e11),e10) ),
file('ALG051+1.p',unknown),
[] ).
cnf(614,axiom,
( ~ skC1
| ~ equal(op1(e10,e13),e11)
| equal(op1(e10,e11),e13) ),
file('ALG051+1.p',unknown),
[] ).
cnf(622,axiom,
( ~ equal(op1(e12,e13),e11)
| ~ skC1
| equal(op1(e12,e11),e13) ),
file('ALG051+1.p',unknown),
[] ).
cnf(625,axiom,
( ~ equal(op1(e13,e12),e11)
| ~ skC1
| equal(op1(e13,e11),e12) ),
file('ALG051+1.p',unknown),
[] ).
cnf(628,axiom,
( ~ equal(op1(e14,e10),e11)
| ~ skC1
| equal(op1(e14,e11),e10) ),
file('ALG051+1.p',unknown),
[] ).
cnf(631,axiom,
( ~ skC1
| ~ equal(op1(e14,e14),e11)
| equal(op1(e14,e11),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(638,axiom,
( ~ equal(op1(e11,e13),e12)
| ~ skC2
| equal(op1(e11,e12),e13) ),
file('ALG051+1.p',unknown),
[] ).
cnf(640,axiom,
( ~ equal(op1(e12,e10),e12)
| ~ skC2
| equal(op1(e12,e12),e10) ),
file('ALG051+1.p',unknown),
[] ).
cnf(641,axiom,
( ~ equal(op1(e12,e11),e12)
| ~ skC2
| equal(op1(e12,e12),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(649,axiom,
( ~ equal(op1(e14,e11),e12)
| ~ skC2
| equal(op1(e14,e12),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(651,axiom,
( ~ skC2
| ~ equal(op1(e14,e14),e12)
| equal(op1(e14,e12),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(662,axiom,
( ~ equal(op1(e12,e12),e13)
| ~ skC3
| equal(op1(e12,e13),e12) ),
file('ALG051+1.p',unknown),
[] ).
cnf(665,axiom,
( ~ equal(op1(e13,e11),e13)
| ~ skC3
| equal(op1(e13,e13),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(676,axiom,
( ~ equal(op2(e21,e21),e20)
| ~ skC4
| equal(op2(e21,e20),e21) ),
file('ALG051+1.p',unknown),
[] ).
cnf(687,axiom,
( ~ equal(op2(e23,e24),e20)
| ~ skC4
| equal(op2(e23,e20),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(705,axiom,
( ~ equal(op2(e23,e22),e21)
| ~ skC5
| equal(op2(e23,e21),e22) ),
file('ALG051+1.p',unknown),
[] ).
cnf(711,axiom,
( ~ equal(op2(e24,e24),e21)
| ~ skC5
| equal(op2(e24,e21),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(712,axiom,
( ~ equal(op2(e20,e20),e22)
| ~ skC6
| equal(op2(e20,e22),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(716,axiom,
( ~ equal(op2(e21,e20),e22)
| ~ skC6
| equal(op2(e21,e22),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(720,axiom,
( ~ equal(op2(e22,e20),e22)
| ~ skC6
| equal(op2(e22,e22),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(742,axiom,
( ~ equal(op2(e22,e22),e23)
| ~ skC7
| equal(op2(e22,e23),e22) ),
file('ALG051+1.p',unknown),
[] ).
cnf(744,axiom,
( ~ equal(op2(e23,e20),e23)
| ~ skC7
| equal(op2(e23,e23),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(752,axiom,
equal(op1(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)),e10),
file('ALG051+1.p',unknown),
[] ).
cnf(753,axiom,
equal(op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)),e20),
file('ALG051+1.p',unknown),
[] ).
cnf(808,axiom,
equal(op2(op2(op2(e24,e24),e24),op2(op2(e24,e24),e24)),h5(e10)),
file('ALG051+1.p',unknown),
[] ).
cnf(809,axiom,
( equal(e14,unit1)
| equal(e13,unit1)
| equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
file('ALG051+1.p',unknown),
[] ).
cnf(810,axiom,
( equal(e24,unit2)
| equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2)
| equal(e20,unit2) ),
file('ALG051+1.p',unknown),
[] ).
cnf(813,axiom,
( ~ equal(op1(e10,e12),e14)
| skC3
| skC2
| skC1
| skC0
| equal(op1(e10,e14),e12) ),
file('ALG051+1.p',unknown),
[] ).
cnf(826,axiom,
( ~ equal(op1(e13,e13),e14)
| equal(op1(e13,e14),e13)
| skC0
| skC1
| skC2
| skC3 ),
file('ALG051+1.p',unknown),
[] ).
cnf(828,axiom,
( ~ equal(op1(e14,e11),e14)
| skC3
| skC2
| skC1
| skC0
| equal(op1(e14,e14),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(846,axiom,
( ~ equal(op2(e23,e23),e24)
| equal(op2(e23,e24),e23)
| skC4
| skC5
| skC6
| skC7 ),
file('ALG051+1.p',unknown),
[] ).
cnf(852,axiom,
( equal(op2(e24,e20),e24)
| equal(op2(e24,e21),e24)
| equal(op2(e24,e22),e24)
| equal(op2(e24,e23),e24)
| equal(op2(e24,e24),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(857,axiom,
( equal(op2(e20,e24),e21)
| equal(op2(e21,e24),e21)
| equal(op2(e22,e24),e21)
| equal(op2(e23,e24),e21)
| equal(op2(e24,e24),e21) ),
file('ALG051+1.p',unknown),
[] ).
cnf(864,axiom,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e23,e22),e23)
| equal(op2(e23,e23),e23)
| equal(op2(e23,e24),e23) ),
file('ALG051+1.p',unknown),
[] ).
cnf(867,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('ALG051+1.p',unknown),
[] ).
cnf(869,axiom,
( equal(op2(e20,e23),e20)
| equal(op2(e21,e23),e20)
| equal(op2(e22,e23),e20)
| equal(op2(e23,e23),e20)
| equal(op2(e24,e23),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(870,axiom,
( equal(op2(e23,e20),e20)
| equal(op2(e23,e21),e20)
| equal(op2(e23,e22),e20)
| equal(op2(e23,e23),e20)
| equal(op2(e23,e24),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(879,axiom,
( equal(op2(e20,e22),e20)
| equal(op2(e21,e22),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e23,e22),e20)
| equal(op2(e24,e22),e20) ),
file('ALG051+1.p',unknown),
[] ).
cnf(881,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('ALG051+1.p',unknown),
[] ).
cnf(882,axiom,
( equal(op2(e21,e20),e24)
| equal(op2(e21,e21),e24)
| equal(op2(e21,e22),e24)
| equal(op2(e21,e23),e24)
| equal(op2(e21,e24),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(883,axiom,
( equal(op2(e20,e21),e23)
| equal(op2(e21,e21),e23)
| equal(op2(e22,e21),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e24,e21),e23) ),
file('ALG051+1.p',unknown),
[] ).
cnf(884,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('ALG051+1.p',unknown),
[] ).
cnf(892,axiom,
( equal(op2(e20,e20),e24)
| equal(op2(e20,e21),e24)
| equal(op2(e20,e22),e24)
| equal(op2(e20,e23),e24)
| equal(op2(e20,e24),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(894,axiom,
( equal(op2(e20,e20),e23)
| equal(op2(e20,e21),e23)
| equal(op2(e20,e22),e23)
| equal(op2(e20,e23),e23)
| equal(op2(e20,e24),e23) ),
file('ALG051+1.p',unknown),
[] ).
cnf(895,axiom,
( equal(op2(e20,e20),e22)
| equal(op2(e21,e20),e22)
| equal(op2(e22,e20),e22)
| equal(op2(e23,e20),e22)
| equal(op2(e24,e20),e22) ),
file('ALG051+1.p',unknown),
[] ).
cnf(897,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('ALG051+1.p',unknown),
[] ).
cnf(901,axiom,
( equal(op2(e24,e24),e20)
| equal(op2(e24,e24),e21)
| equal(op2(e24,e24),e22)
| equal(op2(e24,e24),e23)
| equal(op2(e24,e24),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(902,axiom,
( equal(op2(e24,e23),e20)
| equal(op2(e24,e23),e21)
| equal(op2(e24,e23),e22)
| equal(op2(e24,e23),e23)
| equal(op2(e24,e23),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(909,axiom,
( equal(op2(e23,e21),e20)
| equal(op2(e23,e21),e21)
| equal(op2(e23,e21),e22)
| equal(op2(e23,e21),e23)
| equal(op2(e23,e21),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(914,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('ALG051+1.p',unknown),
[] ).
cnf(915,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('ALG051+1.p',unknown),
[] ).
cnf(917,axiom,
( equal(op2(e21,e23),e20)
| equal(op2(e21,e23),e21)
| equal(op2(e21,e23),e22)
| equal(op2(e21,e23),e23)
| equal(op2(e21,e23),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(918,axiom,
( equal(op2(e21,e22),e20)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e22),e22)
| equal(op2(e21,e22),e23)
| equal(op2(e21,e22),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(920,axiom,
( equal(op2(e21,e20),e20)
| equal(op2(e21,e20),e21)
| equal(op2(e21,e20),e22)
| equal(op2(e21,e20),e23)
| equal(op2(e21,e20),e24) ),
file('ALG051+1.p',unknown),
[] ).
cnf(921,axiom,
( equal(op2(e20,e24),e24)
| equal(op2(e20,e24),e20)
| equal(op2(e20,e24),e23)
| equal(op2(e20,e24),e22)
| equal(op2(e20,e24),e21) ),
file('ALG051+1.p',unknown),
[] ).
cnf(929,axiom,
( equal(op1(e14,e10),e13)
| equal(op1(e14,e11),e13)
| equal(op1(e14,e12),e13)
| equal(op1(e14,e13),e13)
| equal(op1(e14,e14),e13) ),
file('ALG051+1.p',unknown),
[] ).
cnf(930,axiom,
( equal(op1(e14,e14),e12)
| equal(op1(e12,e14),e12)
| equal(op1(e13,e14),e12)
| equal(op1(e11,e14),e12)
| equal(op1(e10,e14),e12) ),
file('ALG051+1.p',unknown),
[] ).
cnf(933,axiom,
( equal(op1(e14,e10),e11)
| equal(op1(e14,e11),e11)
| equal(op1(e14,e12),e11)
| equal(op1(e14,e13),e11)
| equal(op1(e14,e14),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(940,axiom,
( equal(op1(e10,e13),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12)
| equal(op1(e13,e13),e12)
| equal(op1(e14,e13),e12) ),
file('ALG051+1.p',unknown),
[] ).
cnf(942,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('ALG051+1.p',unknown),
[] ).
cnf(945,axiom,
( equal(op1(e13,e10),e10)
| equal(op1(e13,e11),e10)
| equal(op1(e13,e12),e10)
| equal(op1(e13,e13),e10)
| equal(op1(e13,e14),e10) ),
file('ALG051+1.p',unknown),
[] ).
cnf(953,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('ALG051+1.p',unknown),
[] ).
cnf(954,axiom,
( equal(op1(e10,e12),e10)
| equal(op1(e11,e12),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e13,e12),e10)
| equal(op1(e14,e12),e10) ),
file('ALG051+1.p',unknown),
[] ).
cnf(955,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('ALG051+1.p',unknown),
[] ).
cnf(956,axiom,
( equal(op1(e10,e11),e14)
| equal(op1(e11,e11),e14)
| equal(op1(e12,e11),e14)
| equal(op1(e13,e11),e14)
| equal(op1(e14,e11),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(957,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('ALG051+1.p',unknown),
[] ).
cnf(958,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('ALG051+1.p',unknown),
[] ).
cnf(959,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('ALG051+1.p',unknown),
[] ).
cnf(966,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('ALG051+1.p',unknown),
[] ).
cnf(971,axiom,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e10),e12)
| equal(op1(e10,e14),e12)
| equal(op1(e10,e13),e12)
| equal(op1(e10,e11),e12) ),
file('ALG051+1.p',unknown),
[] ).
cnf(973,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('ALG051+1.p',unknown),
[] ).
cnf(976,axiom,
( equal(op1(e14,e14),e14)
| equal(op1(e14,e14),e13)
| equal(op1(e14,e14),e12)
| equal(op1(e14,e14),e11)
| equal(op1(e14,e14),e10) ),
file('ALG051+1.p',unknown),
[] ).
cnf(979,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('ALG051+1.p',unknown),
[] ).
cnf(980,axiom,
( equal(op1(e14,e10),e14)
| equal(op1(e14,e10),e10)
| equal(op1(e14,e10),e13)
| equal(op1(e14,e10),e12)
| equal(op1(e14,e10),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(984,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('ALG051+1.p',unknown),
[] ).
cnf(985,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('ALG051+1.p',unknown),
[] ).
cnf(987,axiom,
( equal(op1(e12,e13),e10)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),e12)
| equal(op1(e12,e13),e13)
| equal(op1(e12,e13),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(989,axiom,
( equal(op1(e12,e11),e10)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e11),e12)
| equal(op1(e12,e11),e13)
| equal(op1(e12,e11),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(990,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('ALG051+1.p',unknown),
[] ).
cnf(992,axiom,
( equal(op1(e11,e13),e10)
| equal(op1(e11,e13),e11)
| equal(op1(e11,e13),e12)
| equal(op1(e11,e13),e13)
| equal(op1(e11,e13),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(993,axiom,
( equal(op1(e11,e12),e10)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e12),e12)
| equal(op1(e11,e12),e13)
| equal(op1(e11,e12),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(997,axiom,
( equal(op1(e10,e13),e10)
| equal(op1(e10,e13),e11)
| equal(op1(e10,e13),e12)
| equal(op1(e10,e13),e13)
| equal(op1(e10,e13),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(998,axiom,
( equal(op1(e10,e12),e10)
| equal(op1(e10,e12),e11)
| equal(op1(e10,e12),e12)
| equal(op1(e10,e12),e13)
| equal(op1(e10,e12),e14) ),
file('ALG051+1.p',unknown),
[] ).
cnf(1000,axiom,
( equal(op1(e10,e10),e10)
| equal(op1(e10,e10),e14)
| equal(op1(e10,e10),e13)
| equal(op1(e10,e10),e12)
| equal(op1(e10,e10),e11) ),
file('ALG051+1.p',unknown),
[] ).
cnf(1003,axiom,
( ~ equal(h5(e12),e24)
| ~ equal(op2(h5(e10),h5(e10)),h5(op1(e10,e10)))
| ~ equal(op2(h5(e10),h5(e11)),h5(op1(e10,e11)))
| ~ equal(op2(h5(e10),h5(e12)),h5(op1(e10,e12)))
| ~ equal(op2(h5(e10),h5(e13)),h5(op1(e10,e13)))
| ~ equal(op2(h5(e10),h5(e14)),h5(op1(e10,e14)))
| ~ equal(op2(h5(e11),h5(e10)),h5(op1(e11,e10)))
| ~ equal(op2(h5(e11),h5(e11)),h5(op1(e11,e11)))
| ~ equal(op2(h5(e11),h5(e12)),h5(op1(e11,e12)))
| ~ equal(op2(h5(e11),h5(e13)),h5(op1(e11,e13)))
| ~ equal(op2(h5(e11),h5(e14)),h5(op1(e11,e14)))
| ~ equal(op2(h5(e12),h5(e10)),h5(op1(e12,e10)))
| ~ equal(op2(h5(e12),h5(e11)),h5(op1(e12,e11)))
| ~ equal(op2(h5(e12),h5(e12)),h5(op1(e12,e12)))
| ~ equal(op2(h5(e12),h5(e13)),h5(op1(e12,e13)))
| ~ equal(op2(h5(e12),h5(e14)),h5(op1(e12,e14)))
| ~ equal(op2(h5(e13),h5(e10)),h5(op1(e13,e10)))
| ~ equal(op2(h5(e13),h5(e11)),h5(op1(e13,e11)))
| ~ equal(op2(h5(e13),h5(e12)),h5(op1(e13,e12)))
| ~ equal(op2(h5(e13),h5(e13)),h5(op1(e13,e13)))
| ~ equal(op2(h5(e13),h5(e14)),h5(op1(e13,e14)))
| ~ equal(op2(h5(e14),h5(e10)),h5(op1(e14,e10)))
| ~ equal(op2(h5(e14),h5(e11)),h5(op1(e14,e11)))
| ~ equal(op2(h5(e14),h5(e12)),h5(op1(e14,e12)))
| ~ equal(op2(h5(e14),h5(e13)),h5(op1(e14,e13)))
| ~ equal(op2(h5(e14),h5(e14)),h5(op1(e14,e14)))
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27 ),
file('ALG051+1.p',unknown),
[] ).
cnf(1055,plain,
equal(op2(e23,e22),e21),
inference(rew,[status(thm),theory(equality)],[72,179]),
[iquote('0:Rew:72.0,179.0')] ).
cnf(1056,plain,
equal(op1(e13,e12),e11),
inference(rew,[status(thm),theory(equality)],[71,178]),
[iquote('0:Rew:71.0,178.0')] ).
cnf(1057,plain,
equal(op2(h5(e13),e24),h5(e11)),
inference(rew,[status(thm),theory(equality)],[177,384]),
[iquote('0:Rew:177.0,384.0')] ).
cnf(1058,plain,
equal(op2(h4(e13),e23),h4(e11)),
inference(rew,[status(thm),theory(equality)],[176,383]),
[iquote('0:Rew:176.0,383.0')] ).
cnf(1063,plain,
equal(op2(h2(e13),e21),h2(e11)),
inference(rew,[status(thm),theory(equality)],[174,381]),
[iquote('0:Rew:174.0,381.0')] ).
cnf(1064,plain,
equal(op2(h1(e13),e20),h1(e11)),
inference(rew,[status(thm),theory(equality)],[173,380]),
[iquote('0:Rew:173.0,380.0')] ).
cnf(1066,plain,
~ equal(op2(e24,e22),h5(e13)),
inference(rew,[status(thm),theory(equality)],[177,378]),
[iquote('0:Rew:177.0,378.0')] ).
cnf(1067,plain,
~ equal(op2(e24,e21),h5(e13)),
inference(rew,[status(thm),theory(equality)],[177,376]),
[iquote('0:Rew:177.0,376.0')] ).
cnf(1068,plain,
~ equal(op2(e24,e20),h5(e13)),
inference(rew,[status(thm),theory(equality)],[177,373]),
[iquote('0:Rew:177.0,373.0')] ).
cnf(1070,plain,
~ equal(op2(e23,e24),e21),
inference(rew,[status(thm),theory(equality)],[1055,368]),
[iquote('0:Rew:1055.0,368.0')] ).
cnf(1072,plain,
~ equal(op2(e23,e21),h4(e13)),
inference(rew,[status(thm),theory(equality)],[176,365]),
[iquote('0:Rew:176.0,365.0')] ).
cnf(1073,plain,
~ equal(op2(e23,e21),e21),
inference(rew,[status(thm),theory(equality)],[1055,364]),
[iquote('0:Rew:1055.0,364.0')] ).
cnf(1074,plain,
~ equal(op2(e23,e20),h4(e13)),
inference(rew,[status(thm),theory(equality)],[176,362]),
[iquote('0:Rew:176.0,362.0')] ).
cnf(1075,plain,
~ equal(op2(e23,e20),e21),
inference(rew,[status(thm),theory(equality)],[1055,361]),
[iquote('0:Rew:1055.0,361.0')] ).
cnf(1078,plain,
~ equal(op2(e22,e21),e23),
inference(rew,[status(thm),theory(equality)],[72,354]),
[iquote('0:Rew:72.0,354.0')] ).
cnf(1079,plain,
~ equal(op2(e22,e20),e23),
inference(rew,[status(thm),theory(equality)],[72,351]),
[iquote('0:Rew:72.0,351.0')] ).
cnf(1081,plain,
~ equal(op2(e21,e23),h2(e13)),
inference(rew,[status(thm),theory(equality)],[174,345]),
[iquote('0:Rew:174.0,345.0')] ).
cnf(1082,plain,
~ equal(op2(e21,e22),h2(e13)),
inference(rew,[status(thm),theory(equality)],[174,344]),
[iquote('0:Rew:174.0,344.0')] ).
cnf(1083,plain,
~ equal(op2(e21,e20),h2(e13)),
inference(rew,[status(thm),theory(equality)],[174,340]),
[iquote('0:Rew:174.0,340.0')] ).
cnf(1088,plain,
~ equal(op2(e23,e24),h5(e13)),
inference(rew,[status(thm),theory(equality)],[177,329]),
[iquote('0:Rew:177.0,329.0')] ).
cnf(1092,plain,
~ equal(op2(e24,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[176,319]),
[iquote('0:Rew:176.0,319.0')] ).
cnf(1094,plain,
~ equal(op2(e21,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[176,315]),
[iquote('0:Rew:176.0,315.0')] ).
cnf(1095,plain,
~ equal(op2(e20,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[176,312]),
[iquote('0:Rew:176.0,312.0')] ).
cnf(1099,plain,
~ equal(op2(e21,e22),e21),
inference(rew,[status(thm),theory(equality)],[1055,305]),
[iquote('0:Rew:1055.0,305.0')] ).
cnf(1100,plain,
~ equal(op2(e21,e22),e23),
inference(rew,[status(thm),theory(equality)],[72,304]),
[iquote('0:Rew:72.0,304.0')] ).
cnf(1102,plain,
~ equal(op2(e20,e22),e23),
inference(rew,[status(thm),theory(equality)],[72,301]),
[iquote('0:Rew:72.0,301.0')] ).
cnf(1104,plain,
~ equal(op2(e23,e21),h2(e13)),
inference(rew,[status(thm),theory(equality)],[174,295]),
[iquote('0:Rew:174.0,295.0')] ).
cnf(1105,plain,
~ equal(op2(e22,e21),h2(e13)),
inference(rew,[status(thm),theory(equality)],[174,294]),
[iquote('0:Rew:174.0,294.0')] ).
cnf(1108,plain,
~ equal(op2(e23,e20),h1(e13)),
inference(rew,[status(thm),theory(equality)],[173,282]),
[iquote('0:Rew:173.0,282.0')] ).
cnf(1113,plain,
~ equal(op1(e13,e11),e11),
inference(rew,[status(thm),theory(equality)],[1056,264]),
[iquote('0:Rew:1056.0,264.0')] ).
cnf(1114,plain,
~ equal(op1(e13,e10),e11),
inference(rew,[status(thm),theory(equality)],[1056,261]),
[iquote('0:Rew:1056.0,261.0')] ).
cnf(1116,plain,
~ equal(op1(e12,e13),e13),
inference(rew,[status(thm),theory(equality)],[71,257]),
[iquote('0:Rew:71.0,257.0')] ).
cnf(1117,plain,
~ equal(op1(e12,e11),e13),
inference(rew,[status(thm),theory(equality)],[71,254]),
[iquote('0:Rew:71.0,254.0')] ).
cnf(1118,plain,
~ equal(op1(e12,e10),e13),
inference(rew,[status(thm),theory(equality)],[71,251]),
[iquote('0:Rew:71.0,251.0')] ).
cnf(1119,plain,
~ equal(op1(e14,e12),e11),
inference(rew,[status(thm),theory(equality)],[1056,209]),
[iquote('0:Rew:1056.0,209.0')] ).
cnf(1120,plain,
~ equal(op1(e14,e12),e13),
inference(rew,[status(thm),theory(equality)],[71,208]),
[iquote('0:Rew:71.0,208.0')] ).
cnf(1122,plain,
~ equal(op1(e11,e12),e11),
inference(rew,[status(thm),theory(equality)],[1056,205]),
[iquote('0:Rew:1056.0,205.0')] ).
cnf(1123,plain,
~ equal(op1(e11,e12),e13),
inference(rew,[status(thm),theory(equality)],[71,204]),
[iquote('0:Rew:71.0,204.0')] ).
cnf(1124,plain,
~ equal(op1(e10,e12),e11),
inference(rew,[status(thm),theory(equality)],[1056,202]),
[iquote('0:Rew:1056.0,202.0')] ).
cnf(1125,plain,
~ equal(op1(e10,e12),e13),
inference(rew,[status(thm),theory(equality)],[71,201]),
[iquote('0:Rew:71.0,201.0')] ).
cnf(1126,plain,
equal(h4(e13),e24),
inference(rew,[status(thm),theory(equality)],[176,386,72]),
[iquote('0:Rew:176.0,386.0,72.0,386.0')] ).
cnf(1127,plain,
equal(op2(e23,e23),e24),
inference(rew,[status(thm),theory(equality)],[1126,176]),
[iquote('0:Rew:1126.0,176.0')] ).
cnf(1130,plain,
equal(op2(e24,e23),h4(e11)),
inference(rew,[status(thm),theory(equality)],[1126,1058]),
[iquote('0:Rew:1126.0,1058.0')] ).
cnf(1133,plain,
~ equal(op2(e23,e21),e24),
inference(rew,[status(thm),theory(equality)],[1126,1072]),
[iquote('0:Rew:1126.0,1072.0')] ).
cnf(1134,plain,
~ equal(op2(e23,e20),e24),
inference(rew,[status(thm),theory(equality)],[1126,1074]),
[iquote('0:Rew:1126.0,1074.0')] ).
cnf(1135,plain,
~ equal(op2(e24,e23),e24),
inference(rew,[status(thm),theory(equality)],[1126,1092]),
[iquote('0:Rew:1126.0,1092.0')] ).
cnf(1137,plain,
~ equal(op2(e21,e23),e24),
inference(rew,[status(thm),theory(equality)],[1126,1094]),
[iquote('0:Rew:1126.0,1094.0')] ).
cnf(1138,plain,
~ equal(op2(e20,e23),e24),
inference(rew,[status(thm),theory(equality)],[1126,1095]),
[iquote('0:Rew:1126.0,1095.0')] ).
cnf(1140,plain,
~ equal(op2(e24,e22),h4(e11)),
inference(rew,[status(thm),theory(equality)],[1130,377]),
[iquote('0:Rew:1130.0,377.0')] ).
cnf(1144,plain,
~ equal(op2(e21,e23),h4(e11)),
inference(rew,[status(thm),theory(equality)],[1130,316]),
[iquote('0:Rew:1130.0,316.0')] ).
cnf(1145,plain,
~ equal(op2(e20,e23),h4(e11)),
inference(rew,[status(thm),theory(equality)],[1130,313]),
[iquote('0:Rew:1130.0,313.0')] ).
cnf(1146,plain,
~ equal(h4(e11),e24),
inference(rew,[status(thm),theory(equality)],[1130,1135]),
[iquote('0:Rew:1130.0,1135.0')] ).
cnf(1147,plain,
equal(op1(e13,e13),e14),
inference(rew,[status(thm),theory(equality)],[71,385]),
[iquote('0:Rew:71.0,385.0')] ).
cnf(1150,plain,
~ equal(op1(e13,e11),e14),
inference(rew,[status(thm),theory(equality)],[1147,265]),
[iquote('0:Rew:1147.0,265.0')] ).
cnf(1151,plain,
~ equal(op1(e13,e10),e14),
inference(rew,[status(thm),theory(equality)],[1147,262]),
[iquote('0:Rew:1147.0,262.0')] ).
cnf(1153,plain,
~ equal(op1(e12,e13),e14),
inference(rew,[status(thm),theory(equality)],[1147,217]),
[iquote('0:Rew:1147.0,217.0')] ).
cnf(1154,plain,
~ equal(op1(e11,e13),e14),
inference(rew,[status(thm),theory(equality)],[1147,215]),
[iquote('0:Rew:1147.0,215.0')] ).
cnf(1155,plain,
~ equal(op1(e10,e13),e14),
inference(rew,[status(thm),theory(equality)],[1147,212]),
[iquote('0:Rew:1147.0,212.0')] ).
cnf(1156,plain,
equal(op2(h5(e13),h5(e13)),h5(e14)),
inference(rew,[status(thm),theory(equality)],[177,391]),
[iquote('0:Rew:177.0,391.0')] ).
cnf(1157,plain,
equal(h5(e13),h4(e14)),
inference(rew,[status(thm),theory(equality)],[177,390,1127]),
[iquote('0:Rew:177.0,390.0,1127.0,390.0')] ).
cnf(1158,plain,
equal(op2(e24,e24),h4(e14)),
inference(rew,[status(thm),theory(equality)],[1157,177]),
[iquote('0:Rew:1157.0,177.0')] ).
cnf(1160,plain,
( ~ equal(h4(e14),e22)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[1157,166]),
[iquote('0:Rew:1157.0,166.0')] ).
cnf(1163,plain,
equal(op2(h4(e14),e24),h5(e11)),
inference(rew,[status(thm),theory(equality)],[1157,1057]),
[iquote('0:Rew:1157.0,1057.0')] ).
cnf(1164,plain,
~ equal(op2(e24,e22),h4(e14)),
inference(rew,[status(thm),theory(equality)],[1157,1066]),
[iquote('0:Rew:1157.0,1066.0')] ).
cnf(1165,plain,
~ equal(op2(e24,e21),h4(e14)),
inference(rew,[status(thm),theory(equality)],[1157,1067]),
[iquote('0:Rew:1157.0,1067.0')] ).
cnf(1166,plain,
~ equal(op2(e24,e20),h4(e14)),
inference(rew,[status(thm),theory(equality)],[1157,1068]),
[iquote('0:Rew:1157.0,1068.0')] ).
cnf(1167,plain,
~ equal(op2(e23,e24),h4(e14)),
inference(rew,[status(thm),theory(equality)],[1157,1088]),
[iquote('0:Rew:1157.0,1088.0')] ).
cnf(1172,plain,
equal(op2(h4(e14),h4(e14)),h5(e14)),
inference(rew,[status(thm),theory(equality)],[1157,1156]),
[iquote('0:Rew:1157.0,1156.0')] ).
cnf(1181,plain,
( ~ equal(e23,unit2)
| ~ equal(e23,e23)
| ~ skC7 ),
inference(rew,[status(thm),theory(equality)],[72,579]),
[iquote('0:Rew:72.0,579.1')] ).
cnf(1182,plain,
( ~ skC7
| ~ equal(e23,unit2) ),
inference(obv,[status(thm),theory(equality)],[1181]),
[iquote('0:Obv:1181.1')] ).
cnf(1200,plain,
( ~ equal(e20,unit2)
| ~ equal(h2(e13),e20)
| ~ skC4 ),
inference(rew,[status(thm),theory(equality)],[174,498]),
[iquote('0:Rew:174.0,498.1')] ).
cnf(1204,plain,
( ~ equal(e13,unit1)
| ~ equal(e13,e13)
| ~ skC3 ),
inference(rew,[status(thm),theory(equality)],[71,479]),
[iquote('0:Rew:71.0,479.1')] ).
cnf(1205,plain,
( ~ skC3
| ~ equal(e13,unit1) ),
inference(obv,[status(thm),theory(equality)],[1204]),
[iquote('0:Obv:1204.1')] ).
cnf(1210,plain,
( ~ equal(e11,unit1)
| ~ equal(e11,e11)
| ~ skC1 ),
inference(rew,[status(thm),theory(equality)],[1056,434]),
[iquote('0:Rew:1056.0,434.1')] ).
cnf(1211,plain,
( ~ skC1
| ~ equal(e11,unit1) ),
inference(obv,[status(thm),theory(equality)],[1210]),
[iquote('0:Obv:1210.1')] ).
cnf(1215,plain,
equal(h2(e13),e20),
inference(rew,[status(thm),theory(equality)],[174,753,1055,72]),
[iquote('0:Rew:174.0,753.0,1055.0,753.0,72.0,753.0')] ).
cnf(1216,plain,
equal(op2(e21,e21),e20),
inference(rew,[status(thm),theory(equality)],[1215,174]),
[iquote('0:Rew:1215.0,174.0')] ).
cnf(1220,plain,
( ~ equal(e20,unit2)
| ~ equal(e20,e20)
| ~ skC4 ),
inference(rew,[status(thm),theory(equality)],[1215,1200]),
[iquote('0:Rew:1215.0,1200.1')] ).
cnf(1222,plain,
equal(op2(e20,e21),h2(e11)),
inference(rew,[status(thm),theory(equality)],[1215,1063]),
[iquote('0:Rew:1215.0,1063.0')] ).
cnf(1224,plain,
~ equal(op2(e21,e23),e20),
inference(rew,[status(thm),theory(equality)],[1215,1081]),
[iquote('0:Rew:1215.0,1081.0')] ).
cnf(1225,plain,
~ equal(op2(e21,e22),e20),
inference(rew,[status(thm),theory(equality)],[1215,1082]),
[iquote('0:Rew:1215.0,1082.0')] ).
cnf(1226,plain,
~ equal(op2(e21,e20),e20),
inference(rew,[status(thm),theory(equality)],[1215,1083]),
[iquote('0:Rew:1215.0,1083.0')] ).
cnf(1228,plain,
~ equal(op2(e23,e21),e20),
inference(rew,[status(thm),theory(equality)],[1215,1104]),
[iquote('0:Rew:1215.0,1104.0')] ).
cnf(1229,plain,
~ equal(op2(e22,e21),e20),
inference(rew,[status(thm),theory(equality)],[1215,1105]),
[iquote('0:Rew:1215.0,1105.0')] ).
cnf(1239,plain,
~ equal(op2(e22,e21),h2(e11)),
inference(rew,[status(thm),theory(equality)],[1222,291]),
[iquote('0:Rew:1222.0,291.0')] ).
cnf(1246,plain,
( ~ skC4
| ~ equal(e20,unit2) ),
inference(obv,[status(thm),theory(equality)],[1220]),
[iquote('0:Obv:1220.1')] ).
cnf(1247,plain,
equal(op1(e11,e11),e10),
inference(rew,[status(thm),theory(equality)],[1056,752,71]),
[iquote('0:Rew:1056.0,752.0,71.0,752.0')] ).
cnf(1249,plain,
~ equal(op1(e11,e13),e10),
inference(rew,[status(thm),theory(equality)],[1247,245]),
[iquote('0:Rew:1247.0,245.0')] ).
cnf(1250,plain,
~ equal(op1(e11,e12),e10),
inference(rew,[status(thm),theory(equality)],[1247,244]),
[iquote('0:Rew:1247.0,244.0')] ).
cnf(1252,plain,
~ equal(op1(e14,e11),e10),
inference(rew,[status(thm),theory(equality)],[1247,196]),
[iquote('0:Rew:1247.0,196.0')] ).
cnf(1253,plain,
~ equal(op1(e13,e11),e10),
inference(rew,[status(thm),theory(equality)],[1247,195]),
[iquote('0:Rew:1247.0,195.0')] ).
cnf(1254,plain,
~ equal(op1(e12,e11),e10),
inference(rew,[status(thm),theory(equality)],[1247,194]),
[iquote('0:Rew:1247.0,194.0')] ).
cnf(1255,plain,
~ equal(op1(e10,e11),e10),
inference(rew,[status(thm),theory(equality)],[1247,190]),
[iquote('0:Rew:1247.0,190.0')] ).
cnf(1257,plain,
( ~ equal(e10,unit1)
| ~ equal(e10,e10)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[1247,398]),
[iquote('0:Rew:1247.0,398.1')] ).
cnf(1258,plain,
( ~ skC0
| ~ equal(e10,unit1) ),
inference(obv,[status(thm),theory(equality)],[1257]),
[iquote('0:Obv:1257.1')] ).
cnf(1266,plain,
( ~ equal(op2(e23,e20),e23)
| ~ skC7
| equal(e24,e20) ),
inference(rew,[status(thm),theory(equality)],[1127,744]),
[iquote('0:Rew:1127.0,744.2')] ).
cnf(1267,plain,
( ~ skC7
| ~ equal(op2(e23,e20),e23) ),
inference(mrr,[status(thm)],[1266,14]),
[iquote('0:MRR:1266.2,14.0')] ).
cnf(1268,plain,
( ~ equal(e23,e23)
| ~ skC7
| equal(op2(e22,e23),e22) ),
inference(rew,[status(thm),theory(equality)],[72,742]),
[iquote('0:Rew:72.0,742.0')] ).
cnf(1269,plain,
( ~ skC7
| equal(op2(e22,e23),e22) ),
inference(obv,[status(thm),theory(equality)],[1268]),
[iquote('0:Obv:1268.0')] ).
cnf(1289,plain,
( ~ equal(op2(e22,e20),e22)
| ~ skC6
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[72,720]),
[iquote('0:Rew:72.0,720.2')] ).
cnf(1290,plain,
( ~ skC6
| ~ equal(op2(e22,e20),e22) ),
inference(mrr,[status(thm)],[1289,13]),
[iquote('0:MRR:1289.2,13.0')] ).
cnf(1293,plain,
( ~ skC6
| ~ equal(op2(e21,e20),e22) ),
inference(mrr,[status(thm)],[716,1225]),
[iquote('0:MRR:716.2,1225.0')] ).
cnf(1297,plain,
( ~ skC6
| ~ equal(h1(e13),e22)
| equal(op2(e20,e22),e20) ),
inference(rew,[status(thm),theory(equality)],[173,712]),
[iquote('0:Rew:173.0,712.0')] ).
cnf(1298,plain,
( ~ skC5
| ~ equal(h4(e14),e21)
| equal(op2(e24,e21),e24) ),
inference(rew,[status(thm),theory(equality)],[1158,711]),
[iquote('0:Rew:1158.0,711.0')] ).
cnf(1302,plain,
( ~ equal(e21,e21)
| ~ skC5
| equal(op2(e23,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[1055,705]),
[iquote('0:Rew:1055.0,705.0')] ).
cnf(1303,plain,
( ~ skC5
| equal(op2(e23,e21),e22) ),
inference(obv,[status(thm),theory(equality)],[1302]),
[iquote('0:Obv:1302.0')] ).
cnf(1317,plain,
( ~ skC4
| ~ equal(op2(e23,e24),e20) ),
inference(mrr,[status(thm)],[687,1134]),
[iquote('0:MRR:687.2,1134.0')] ).
cnf(1322,plain,
( ~ equal(e20,e20)
| ~ skC4
| equal(op2(e21,e20),e21) ),
inference(rew,[status(thm),theory(equality)],[1216,676]),
[iquote('0:Rew:1216.0,676.0')] ).
cnf(1323,plain,
( ~ skC4
| equal(op2(e21,e20),e21) ),
inference(obv,[status(thm),theory(equality)],[1322]),
[iquote('0:Obv:1322.0')] ).
cnf(1330,plain,
( ~ equal(op1(e13,e11),e13)
| ~ skC3
| equal(e14,e11) ),
inference(rew,[status(thm),theory(equality)],[1147,665]),
[iquote('0:Rew:1147.0,665.2')] ).
cnf(1331,plain,
( ~ skC3
| ~ equal(op1(e13,e11),e13) ),
inference(mrr,[status(thm)],[1330,7]),
[iquote('0:MRR:1330.2,7.0')] ).
cnf(1334,plain,
( ~ equal(e13,e13)
| ~ skC3
| equal(op1(e12,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[71,662]),
[iquote('0:Rew:71.0,662.0')] ).
cnf(1335,plain,
( ~ skC3
| equal(op1(e12,e13),e12) ),
inference(obv,[status(thm),theory(equality)],[1334]),
[iquote('0:Obv:1334.0')] ).
cnf(1341,plain,
( ~ skC2
| ~ equal(op1(e14,e11),e12) ),
inference(mrr,[status(thm)],[649,1119]),
[iquote('0:MRR:649.2,1119.0')] ).
cnf(1349,plain,
( ~ equal(op1(e12,e11),e12)
| ~ skC2
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[71,641]),
[iquote('0:Rew:71.0,641.2')] ).
cnf(1350,plain,
( ~ skC2
| ~ equal(op1(e12,e11),e12) ),
inference(mrr,[status(thm)],[1349,6]),
[iquote('0:MRR:1349.2,6.0')] ).
cnf(1351,plain,
( ~ equal(op1(e12,e10),e12)
| ~ skC2
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[71,640]),
[iquote('0:Rew:71.0,640.2')] ).
cnf(1352,plain,
( ~ skC2
| ~ equal(op1(e12,e10),e12) ),
inference(mrr,[status(thm)],[1351,3]),
[iquote('0:MRR:1351.2,3.0')] ).
cnf(1353,plain,
( ~ skC2
| ~ equal(op1(e11,e13),e12) ),
inference(mrr,[status(thm)],[638,1123]),
[iquote('0:MRR:638.2,1123.0')] ).
cnf(1358,plain,
( ~ skC1
| ~ equal(op1(e14,e10),e11) ),
inference(mrr,[status(thm)],[628,1252]),
[iquote('0:MRR:628.2,1252.0')] ).
cnf(1360,plain,
( ~ equal(e11,e11)
| ~ skC1
| equal(op1(e13,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[1056,625]),
[iquote('0:Rew:1056.0,625.0')] ).
cnf(1361,plain,
( ~ skC1
| equal(op1(e13,e11),e12) ),
inference(obv,[status(thm),theory(equality)],[1360]),
[iquote('0:Obv:1360.0')] ).
cnf(1362,plain,
( ~ skC1
| ~ equal(op1(e12,e13),e11) ),
inference(mrr,[status(thm)],[622,1117]),
[iquote('0:MRR:622.2,1117.0')] ).
cnf(1369,plain,
( ~ skC1
| ~ equal(op1(e10,e10),e11) ),
inference(mrr,[status(thm)],[612,1255]),
[iquote('0:MRR:612.2,1255.0')] ).
cnf(1370,plain,
( ~ skC0
| ~ equal(op1(e13,e14),e10) ),
inference(mrr,[status(thm)],[607,1151]),
[iquote('0:MRR:607.2,1151.0')] ).
cnf(1375,plain,
( ~ equal(e10,e10)
| ~ skC0
| equal(op1(e11,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[1247,596]),
[iquote('0:Rew:1247.0,596.0')] ).
cnf(1376,plain,
( ~ skC0
| equal(op1(e11,e10),e11) ),
inference(obv,[status(thm),theory(equality)],[1375]),
[iquote('0:Obv:1375.0')] ).
cnf(1377,plain,
equal(op2(h5(e11),h5(e11)),h5(e10)),
inference(rew,[status(thm),theory(equality)],[1163,808,1158]),
[iquote('0:Rew:1163.0,808.0,1158.0,808.0')] ).
cnf(1394,plain,
( ~ equal(e24,e24)
| equal(op2(e23,e24),e23)
| skC4
| skC5
| skC6
| skC7 ),
inference(rew,[status(thm),theory(equality)],[1127,846]),
[iquote('0:Rew:1127.0,846.0')] ).
cnf(1395,plain,
( skC7
| skC6
| skC5
| skC4
| equal(op2(e23,e24),e23) ),
inference(obv,[status(thm),theory(equality)],[1394]),
[iquote('0:Obv:1394.0')] ).
cnf(1402,plain,
( ~ equal(e14,e14)
| equal(op1(e13,e14),e13)
| skC0
| skC1
| skC2
| skC3 ),
inference(rew,[status(thm),theory(equality)],[1147,826]),
[iquote('0:Rew:1147.0,826.0')] ).
cnf(1403,plain,
( skC3
| skC2
| skC1
| skC0
| equal(op1(e13,e14),e13) ),
inference(obv,[status(thm),theory(equality)],[1402]),
[iquote('0:Obv:1402.0')] ).
cnf(1410,plain,
( equal(op2(e24,e20),e24)
| equal(op2(e24,e21),e24)
| equal(op2(e24,e22),e24)
| equal(h4(e11),e24)
| equal(h4(e14),e24) ),
inference(rew,[status(thm),theory(equality)],[1158,852,1130]),
[iquote('0:Rew:1158.0,852.4,1130.0,852.3')] ).
cnf(1411,plain,
( equal(h4(e14),e24)
| equal(op2(e24,e22),e24)
| equal(op2(e24,e21),e24)
| equal(op2(e24,e20),e24) ),
inference(mrr,[status(thm)],[1410,1146]),
[iquote('0:MRR:1410.3,1146.0')] ).
cnf(1418,plain,
( equal(op2(e20,e24),e21)
| equal(op2(e21,e24),e21)
| equal(op2(e22,e24),e21)
| equal(op2(e23,e24),e21)
| equal(h4(e14),e21) ),
inference(rew,[status(thm),theory(equality)],[1158,857]),
[iquote('0:Rew:1158.0,857.4')] ).
cnf(1419,plain,
( equal(h4(e14),e21)
| equal(op2(e21,e24),e21)
| equal(op2(e22,e24),e21)
| equal(op2(e20,e24),e21) ),
inference(mrr,[status(thm)],[1418,1070]),
[iquote('0:MRR:1418.3,1070.0')] ).
cnf(1428,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23)
| equal(e23,e21)
| equal(e24,e23)
| equal(op2(e23,e24),e23) ),
inference(rew,[status(thm),theory(equality)],[1127,864,1055]),
[iquote('0:Rew:1127.0,864.3,1055.0,864.2')] ).
cnf(1429,plain,
( equal(op2(e23,e24),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e23,e20),e23) ),
inference(mrr,[status(thm)],[1428,16,20]),
[iquote('0:MRR:1428.2,1428.3,16.0,20.0')] ).
cnf(1434,plain,
( equal(op2(e20,e23),e21)
| equal(op2(e21,e23),e21)
| equal(op2(e22,e23),e21)
| equal(e24,e21)
| equal(h4(e11),e21) ),
inference(rew,[status(thm),theory(equality)],[1130,867,1127]),
[iquote('0:Rew:1130.0,867.4,1127.0,867.3')] ).
cnf(1435,plain,
( equal(h4(e11),e21)
| equal(op2(e21,e23),e21)
| equal(op2(e22,e23),e21)
| equal(op2(e20,e23),e21) ),
inference(mrr,[status(thm)],[1434,17]),
[iquote('0:MRR:1434.3,17.0')] ).
cnf(1436,plain,
( equal(op2(e20,e23),e20)
| equal(op2(e21,e23),e20)
| equal(op2(e22,e23),e20)
| equal(e24,e20)
| equal(h4(e11),e20) ),
inference(rew,[status(thm),theory(equality)],[1130,869,1127]),
[iquote('0:Rew:1130.0,869.4,1127.0,869.3')] ).
cnf(1437,plain,
( equal(h4(e11),e20)
| equal(op2(e20,e23),e20)
| equal(op2(e22,e23),e20) ),
inference(mrr,[status(thm)],[1436,1224,14]),
[iquote('0:MRR:1436.1,1436.3,1224.0,14.0')] ).
cnf(1438,plain,
( equal(op2(e23,e20),e20)
| equal(op2(e23,e21),e20)
| equal(e21,e20)
| equal(e24,e20)
| equal(op2(e23,e24),e20) ),
inference(rew,[status(thm),theory(equality)],[1127,870,1055]),
[iquote('0:Rew:1127.0,870.3,1055.0,870.2')] ).
cnf(1439,plain,
( equal(op2(e23,e20),e20)
| equal(op2(e23,e24),e20) ),
inference(mrr,[status(thm)],[1438,1228,11,14]),
[iquote('0:MRR:1438.1,1438.2,1438.3,1228.0,11.0,14.0')] ).
cnf(1450,plain,
( equal(op2(e20,e22),e20)
| equal(op2(e21,e22),e20)
| equal(e23,e20)
| equal(e21,e20)
| equal(op2(e24,e22),e20) ),
inference(rew,[status(thm),theory(equality)],[1055,879,72]),
[iquote('0:Rew:1055.0,879.3,72.0,879.2')] ).
cnf(1451,plain,
( equal(op2(e20,e22),e20)
| equal(op2(e24,e22),e20) ),
inference(mrr,[status(thm)],[1450,1225,13,11]),
[iquote('0:MRR:1450.1,1450.2,1450.3,1225.0,13.0,11.0')] ).
cnf(1454,plain,
( equal(h2(e11),e24)
| equal(e24,e20)
| equal(op2(e22,e21),e24)
| equal(op2(e23,e21),e24)
| equal(op2(e24,e21),e24) ),
inference(rew,[status(thm),theory(equality)],[1216,881,1222]),
[iquote('0:Rew:1216.0,881.1,1222.0,881.0')] ).
cnf(1455,plain,
( equal(h2(e11),e24)
| equal(op2(e24,e21),e24)
| equal(op2(e22,e21),e24) ),
inference(mrr,[status(thm)],[1454,14,1133]),
[iquote('0:MRR:1454.1,1454.3,14.0,1133.0')] ).
cnf(1456,plain,
( equal(op2(e21,e20),e24)
| equal(e24,e20)
| equal(op2(e21,e22),e24)
| equal(op2(e21,e23),e24)
| equal(op2(e21,e24),e24) ),
inference(rew,[status(thm),theory(equality)],[1216,882]),
[iquote('0:Rew:1216.0,882.1')] ).
cnf(1457,plain,
( equal(op2(e21,e24),e24)
| equal(op2(e21,e22),e24)
| equal(op2(e21,e20),e24) ),
inference(mrr,[status(thm)],[1456,14,1137]),
[iquote('0:MRR:1456.1,1456.3,14.0,1137.0')] ).
cnf(1458,plain,
( equal(h2(e11),e23)
| equal(e23,e20)
| equal(op2(e22,e21),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e24,e21),e23) ),
inference(rew,[status(thm),theory(equality)],[1216,883,1222]),
[iquote('0:Rew:1216.0,883.1,1222.0,883.0')] ).
cnf(1459,plain,
( equal(h2(e11),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e24,e21),e23) ),
inference(mrr,[status(thm)],[1458,13,1078]),
[iquote('0:MRR:1458.1,1458.2,13.0,1078.0')] ).
cnf(1460,plain,
( equal(op2(e21,e20),e23)
| equal(e23,e20)
| equal(op2(e21,e22),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e21,e24),e23) ),
inference(rew,[status(thm),theory(equality)],[1216,884]),
[iquote('0:Rew:1216.0,884.1')] ).
cnf(1461,plain,
( equal(op2(e21,e23),e23)
| equal(op2(e21,e24),e23)
| equal(op2(e21,e20),e23) ),
inference(mrr,[status(thm)],[1460,13,1100]),
[iquote('0:MRR:1460.1,1460.2,13.0,1100.0')] ).
cnf(1472,plain,
( equal(h1(e13),e24)
| equal(h2(e11),e24)
| equal(op2(e20,e22),e24)
| equal(op2(e20,e23),e24)
| equal(op2(e20,e24),e24) ),
inference(rew,[status(thm),theory(equality)],[1222,892,173]),
[iquote('0:Rew:1222.0,892.1,173.0,892.0')] ).
cnf(1473,plain,
( equal(h2(e11),e24)
| equal(h1(e13),e24)
| equal(op2(e20,e24),e24)
| equal(op2(e20,e22),e24) ),
inference(mrr,[status(thm)],[1472,1138]),
[iquote('0:MRR:1472.3,1138.0')] ).
cnf(1476,plain,
( equal(h1(e13),e23)
| equal(h2(e11),e23)
| equal(op2(e20,e22),e23)
| equal(op2(e20,e23),e23)
| equal(op2(e20,e24),e23) ),
inference(rew,[status(thm),theory(equality)],[1222,894,173]),
[iquote('0:Rew:1222.0,894.1,173.0,894.0')] ).
cnf(1477,plain,
( equal(h2(e11),e23)
| equal(h1(e13),e23)
| equal(op2(e20,e23),e23)
| equal(op2(e20,e24),e23) ),
inference(mrr,[status(thm)],[1476,1102]),
[iquote('0:MRR:1476.2,1102.0')] ).
cnf(1478,plain,
( equal(h1(e13),e22)
| equal(op2(e22,e20),e22)
| equal(op2(e24,e20),e22)
| equal(op2(e23,e20),e22)
| equal(op2(e21,e20),e22) ),
inference(rew,[status(thm),theory(equality)],[173,895]),
[iquote('0:Rew:173.0,895.0')] ).
cnf(1480,plain,
( equal(h1(e13),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e22,e20),e21)
| equal(op2(e23,e20),e21)
| equal(op2(e24,e20),e21) ),
inference(rew,[status(thm),theory(equality)],[173,897]),
[iquote('0:Rew:173.0,897.0')] ).
cnf(1481,plain,
( equal(h1(e13),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e24,e20),e21)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[1480,1075]),
[iquote('0:MRR:1480.3,1075.0')] ).
cnf(1488,plain,
( equal(h4(e14),e24)
| equal(h4(e14),e23)
| equal(h4(e14),e22)
| equal(h4(e14),e21)
| equal(h4(e14),e20) ),
inference(rew,[status(thm),theory(equality)],[1158,901]),
[iquote('0:Rew:1158.0,901.4,1158.0,901.3,1158.0,901.2,1158.0,901.1,1158.0,901.0')] ).
cnf(1489,plain,
( equal(h4(e11),e20)
| equal(h4(e11),e21)
| equal(h4(e11),e22)
| equal(h4(e11),e23)
| equal(h4(e11),e24) ),
inference(rew,[status(thm),theory(equality)],[1130,902]),
[iquote('0:Rew:1130.0,902.4,1130.0,902.3,1130.0,902.2,1130.0,902.1,1130.0,902.0')] ).
cnf(1490,plain,
( equal(h4(e11),e23)
| equal(h4(e11),e22)
| equal(h4(e11),e21)
| equal(h4(e11),e20) ),
inference(mrr,[status(thm)],[1489,1146]),
[iquote('0:MRR:1489.4,1146.0')] ).
cnf(1494,plain,
( equal(op2(e23,e21),e23)
| equal(op2(e23,e21),e22) ),
inference(mrr,[status(thm)],[909,1228,1073,1133]),
[iquote('0:MRR:909.0,909.1,909.4,1228.0,1073.0,1133.0')] ).
cnf(1498,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e24) ),
inference(mrr,[status(thm)],[914,1229,1078]),
[iquote('0:MRR:914.0,914.3,1229.0,1078.0')] ).
cnf(1499,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e20)
| equal(op2(e22,e20),e24)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[915,1079]),
[iquote('0:MRR:915.3,1079.0')] ).
cnf(1501,plain,
( equal(op2(e21,e23),e23)
| equal(op2(e21,e23),e21)
| equal(op2(e21,e23),e22) ),
inference(mrr,[status(thm)],[917,1224,1137]),
[iquote('0:MRR:917.0,917.4,1224.0,1137.0')] ).
cnf(1502,plain,
( equal(op2(e21,e22),e22)
| equal(op2(e21,e22),e24) ),
inference(mrr,[status(thm)],[918,1225,1099,1100]),
[iquote('0:MRR:918.0,918.1,918.3,1225.0,1099.0,1100.0')] ).
cnf(1503,plain,
( equal(op2(e21,e20),e21)
| equal(op2(e21,e20),e24)
| equal(op2(e21,e20),e23)
| equal(op2(e21,e20),e22) ),
inference(mrr,[status(thm)],[920,1226]),
[iquote('0:MRR:920.0,1226.0')] ).
cnf(1512,plain,
( equal(op1(e14,e14),e13)
| equal(op1(e14,e13),e13)
| equal(op1(e14,e11),e13)
| equal(op1(e14,e10),e13) ),
inference(mrr,[status(thm)],[929,1120]),
[iquote('0:MRR:929.2,1120.0')] ).
cnf(1514,plain,
( equal(op1(e14,e14),e11)
| equal(op1(e14,e11),e11)
| equal(op1(e14,e13),e11)
| equal(op1(e14,e10),e11) ),
inference(mrr,[status(thm)],[933,1119]),
[iquote('0:MRR:933.2,1119.0')] ).
cnf(1521,plain,
( equal(op1(e10,e13),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12)
| equal(e14,e12)
| equal(op1(e14,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[1147,940]),
[iquote('0:Rew:1147.0,940.3')] ).
cnf(1522,plain,
( equal(op1(e12,e13),e12)
| equal(op1(e14,e13),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e10,e13),e12) ),
inference(mrr,[status(thm)],[1521,9]),
[iquote('0:MRR:1521.3,9.0')] ).
cnf(1525,plain,
( equal(op1(e10,e13),e11)
| equal(op1(e11,e13),e11)
| equal(op1(e12,e13),e11)
| equal(e14,e11)
| equal(op1(e14,e13),e11) ),
inference(rew,[status(thm),theory(equality)],[1147,942]),
[iquote('0:Rew:1147.0,942.3')] ).
cnf(1526,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)],[1525,7]),
[iquote('0:MRR:1525.3,7.0')] ).
cnf(1529,plain,
( equal(op1(e13,e10),e10)
| equal(op1(e13,e11),e10)
| equal(e11,e10)
| equal(e14,e10)
| equal(op1(e13,e14),e10) ),
inference(rew,[status(thm),theory(equality)],[1147,945,1056]),
[iquote('0:Rew:1147.0,945.3,1056.0,945.2')] ).
cnf(1530,plain,
( equal(op1(e13,e10),e10)
| equal(op1(e13,e14),e10) ),
inference(mrr,[status(thm)],[1529,1253,1,4]),
[iquote('0:MRR:1529.1,1529.2,1529.3,1253.0,1.0,4.0')] ).
cnf(1539,plain,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11)
| equal(e13,e11)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e14),e11) ),
inference(rew,[status(thm),theory(equality)],[71,953]),
[iquote('0:Rew:71.0,953.2')] ).
cnf(1540,plain,
( equal(op1(e12,e11),e11)
| equal(op1(e12,e14),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[1539,6]),
[iquote('0:MRR:1539.2,6.0')] ).
cnf(1541,plain,
( equal(op1(e10,e12),e10)
| equal(op1(e11,e12),e10)
| equal(e13,e10)
| equal(e11,e10)
| equal(op1(e14,e12),e10) ),
inference(rew,[status(thm),theory(equality)],[1056,954,71]),
[iquote('0:Rew:1056.0,954.3,71.0,954.2')] ).
cnf(1542,plain,
( equal(op1(e10,e12),e10)
| equal(op1(e14,e12),e10) ),
inference(mrr,[status(thm)],[1541,1250,3,1]),
[iquote('0:MRR:1541.1,1541.2,1541.3,1250.0,3.0,1.0')] ).
cnf(1543,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(e13,e10)
| equal(op1(e12,e13),e10)
| equal(op1(e12,e14),e10) ),
inference(rew,[status(thm),theory(equality)],[71,955]),
[iquote('0:Rew:71.0,955.2')] ).
cnf(1544,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e14),e10)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[1543,1254,3]),
[iquote('0:MRR:1543.1,1543.2,1254.0,3.0')] ).
cnf(1545,plain,
( equal(op1(e10,e11),e14)
| equal(e14,e10)
| equal(op1(e12,e11),e14)
| equal(op1(e13,e11),e14)
| equal(op1(e14,e11),e14) ),
inference(rew,[status(thm),theory(equality)],[1247,956]),
[iquote('0:Rew:1247.0,956.1')] ).
cnf(1546,plain,
( equal(op1(e14,e11),e14)
| equal(op1(e12,e11),e14)
| equal(op1(e10,e11),e14) ),
inference(mrr,[status(thm)],[1545,4,1150]),
[iquote('0:MRR:1545.1,1545.3,4.0,1150.0')] ).
cnf(1547,plain,
( equal(op1(e11,e10),e14)
| equal(e14,e10)
| equal(op1(e11,e12),e14)
| equal(op1(e11,e13),e14)
| equal(op1(e11,e14),e14) ),
inference(rew,[status(thm),theory(equality)],[1247,957]),
[iquote('0:Rew:1247.0,957.1')] ).
cnf(1548,plain,
( equal(op1(e11,e14),e14)
| equal(op1(e11,e12),e14)
| equal(op1(e11,e10),e14) ),
inference(mrr,[status(thm)],[1547,4,1154]),
[iquote('0:MRR:1547.1,1547.3,4.0,1154.0')] ).
cnf(1549,plain,
( equal(op1(e10,e11),e13)
| equal(e13,e10)
| equal(op1(e12,e11),e13)
| equal(op1(e13,e11),e13)
| equal(op1(e14,e11),e13) ),
inference(rew,[status(thm),theory(equality)],[1247,958]),
[iquote('0:Rew:1247.0,958.1')] ).
cnf(1550,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e14,e11),e13)
| equal(op1(e10,e11),e13) ),
inference(mrr,[status(thm)],[1549,3,1117]),
[iquote('0:MRR:1549.1,1549.2,3.0,1117.0')] ).
cnf(1551,plain,
( equal(op1(e11,e10),e13)
| equal(e13,e10)
| equal(op1(e11,e12),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e11,e14),e13) ),
inference(rew,[status(thm),theory(equality)],[1247,959]),
[iquote('0:Rew:1247.0,959.1')] ).
cnf(1552,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e14),e13)
| equal(op1(e11,e10),e13) ),
inference(mrr,[status(thm)],[1551,3,1123]),
[iquote('0:MRR:1551.1,1551.2,3.0,1123.0')] ).
cnf(1561,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e10,e10),e14)
| equal(op1(e12,e10),e14)
| equal(op1(e11,e10),e14) ),
inference(mrr,[status(thm)],[966,1151]),
[iquote('0:MRR:966.3,1151.0')] ).
cnf(1566,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e10),e11)
| equal(op1(e10,e14),e11)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[973,1124]),
[iquote('0:MRR:973.2,1124.0')] ).
cnf(1571,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)],[979,1252]),
[iquote('0:MRR:979.0,1252.0')] ).
cnf(1573,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e13,e11),e12) ),
inference(mrr,[status(thm)],[984,1253,1113,1150]),
[iquote('0:MRR:984.0,984.1,984.4,1253.0,1113.0,1150.0')] ).
cnf(1574,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e10),e10)
| equal(op1(e13,e10),e12) ),
inference(mrr,[status(thm)],[985,1114,1151]),
[iquote('0:MRR:985.1,985.4,1114.0,1151.0')] ).
cnf(1576,plain,
( equal(op1(e12,e13),e12)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[987,1116,1153]),
[iquote('0:MRR:987.3,987.4,1116.0,1153.0')] ).
cnf(1577,plain,
( equal(op1(e12,e11),e12)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e11),e14) ),
inference(mrr,[status(thm)],[989,1254,1117]),
[iquote('0:MRR:989.0,989.3,1254.0,1117.0')] ).
cnf(1578,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e10)
| equal(op1(e12,e10),e14)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[990,1118]),
[iquote('0:MRR:990.3,1118.0')] ).
cnf(1580,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e13),e11)
| equal(op1(e11,e13),e12) ),
inference(mrr,[status(thm)],[992,1249,1154]),
[iquote('0:MRR:992.0,992.4,1249.0,1154.0')] ).
cnf(1581,plain,
( equal(op1(e11,e12),e12)
| equal(op1(e11,e12),e14) ),
inference(mrr,[status(thm)],[993,1250,1122,1123]),
[iquote('0:MRR:993.0,993.1,993.3,1250.0,1122.0,1123.0')] ).
cnf(1583,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e10,e13),e10)
| equal(op1(e10,e13),e12)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[997,1155]),
[iquote('0:MRR:997.4,1155.0')] ).
cnf(1584,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e12),e10)
| equal(op1(e10,e12),e14) ),
inference(mrr,[status(thm)],[998,1124,1125]),
[iquote('0:MRR:998.1,998.3,1124.0,1125.0')] ).
cnf(1590,plain,
( ~ equal(e24,e24)
| ~ equal(op2(h5(e10),h5(e10)),h5(op1(e10,e10)))
| ~ equal(op2(h5(e10),h5(e11)),h5(op1(e10,e11)))
| ~ equal(op2(h5(e10),e24),h5(op1(e10,e12)))
| ~ equal(op2(h5(e10),h4(e14)),h5(op1(e10,e13)))
| ~ equal(op2(h5(e10),h5(e14)),h5(op1(e10,e14)))
| ~ equal(op2(h5(e11),h5(e10)),h5(op1(e11,e10)))
| ~ equal(h5(e10),h5(e10))
| ~ equal(op2(h5(e11),e24),h5(op1(e11,e12)))
| ~ equal(op2(h5(e11),h4(e14)),h5(op1(e11,e13)))
| ~ equal(op2(h5(e11),h5(e14)),h5(op1(e11,e14)))
| ~ equal(op2(e24,h5(e10)),h5(op1(e12,e10)))
| ~ equal(op2(e24,h5(e11)),h5(op1(e12,e11)))
| ~ equal(h4(e14),h4(e14))
| ~ equal(op2(e24,h4(e14)),h5(op1(e12,e13)))
| ~ equal(op2(e24,h5(e14)),h5(op1(e12,e14)))
| ~ equal(op2(h4(e14),h5(e10)),h5(op1(e13,e10)))
| ~ equal(op2(h4(e14),h5(e11)),h5(op1(e13,e11)))
| ~ equal(h5(e11),h5(e11))
| ~ equal(h5(e14),h5(e14))
| ~ equal(op2(h4(e14),h5(e14)),h5(op1(e13,e14)))
| ~ equal(op2(h5(e14),h5(e10)),h5(op1(e14,e10)))
| ~ equal(op2(h5(e14),h5(e11)),h5(op1(e14,e11)))
| ~ equal(op2(h5(e14),e24),h5(op1(e14,e12)))
| ~ equal(op2(h5(e14),h4(e14)),h5(op1(e14,e13)))
| ~ equal(op2(h5(e14),h5(e14)),h5(op1(e14,e14)))
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27 ),
inference(rew,[status(thm),theory(equality)],[1157,1003,50,1172,1147,1163,1056,1158,71,1377,1247]),
[iquote('0:Rew:1157.0,1003.24,50.0,1003.23,1157.0,1003.20,1172.0,1003.19,1157.0,1003.19,1147.0,1003.19,1163.0,1003.18,1157.0,1003.18,50.0,1003.18,1056.0,1003.18,1157.0,1003.17,1157.0,1003.16,50.0,1003.15,50.0,1003.14,1157.0,1003.14,1158.0,1003.13,50.0,1003.13,1157.0,1003.13,71.0,1003.13,50.0,1003.12,50.0,1003.11,1157.0,1003.9,50.0,1003.8,1377.0,1003.7,1247.0,1003.7,1157.0,1003.4,50.0,1003.3,50.0,1003.0')] ).
cnf(1591,plain,
( ~ skC27
| ~ skC26
| ~ skC25
| ~ skC24
| ~ equal(op2(e24,h5(e14)),h5(op1(e12,e14)))
| ~ equal(op2(e24,h5(e11)),h5(op1(e12,e11)))
| ~ equal(op2(e24,h5(e10)),h5(op1(e12,e10)))
| ~ equal(op2(e24,h4(e14)),h5(op1(e12,e13)))
| ~ equal(op2(h5(e14),e24),h5(op1(e14,e12)))
| ~ equal(op2(h5(e11),e24),h5(op1(e11,e12)))
| ~ equal(op2(h5(e10),e24),h5(op1(e10,e12)))
| ~ equal(op2(h5(e14),h5(e14)),h5(op1(e14,e14)))
| ~ equal(op2(h5(e10),h5(e10)),h5(op1(e10,e10)))
| ~ equal(op2(h5(e14),h5(e11)),h5(op1(e14,e11)))
| ~ equal(op2(h5(e14),h5(e10)),h5(op1(e14,e10)))
| ~ equal(op2(h5(e11),h5(e14)),h5(op1(e11,e14)))
| ~ equal(op2(h5(e11),h5(e10)),h5(op1(e11,e10)))
| ~ equal(op2(h5(e10),h5(e14)),h5(op1(e10,e14)))
| ~ equal(op2(h5(e10),h5(e11)),h5(op1(e10,e11)))
| ~ equal(op2(h5(e14),h4(e14)),h5(op1(e14,e13)))
| ~ equal(op2(h4(e14),h5(e14)),h5(op1(e13,e14)))
| ~ equal(op2(h4(e14),h5(e11)),h5(op1(e13,e11)))
| ~ equal(op2(h4(e14),h5(e10)),h5(op1(e13,e10)))
| ~ equal(op2(h5(e11),h4(e14)),h5(op1(e11,e13)))
| ~ equal(op2(h5(e10),h4(e14)),h5(op1(e10,e13))) ),
inference(obv,[status(thm),theory(equality)],[1590]),
[iquote('0:Obv:1590.19')] ).
cnf(1644,plain,
equal(e11,unit1),
inference(spt,[spt(split,[position(s1)])],[809]),
[iquote('1:Spt:809.3')] ).
cnf(1715,plain,
( equal(op1(e14,e14),e13)
| equal(op1(e14,e13),e13)
| equal(op1(e14,unit1),e13)
| equal(op1(e14,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[1644,1512]),
[iquote('1:Rew:1644.0,1512.2')] ).
cnf(1725,plain,
( ~ equal(op1(e14,unit1),e14)
| skC3
| skC2
| skC1
| skC0
| equal(op1(e14,e14),e11) ),
inference(rew,[status(thm),theory(equality)],[1644,828]),
[iquote('1:Rew:1644.0,828.0')] ).
cnf(1741,plain,
( ~ skC3
| ~ equal(op1(e13,unit1),e13) ),
inference(rew,[status(thm),theory(equality)],[1644,1331]),
[iquote('1:Rew:1644.0,1331.1')] ).
cnf(1745,plain,
~ equal(op1(e13,e10),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[1644,260]),
[iquote('1:Rew:1644.0,260.0')] ).
cnf(1749,plain,
( ~ skC2
| ~ equal(op1(e12,unit1),e12) ),
inference(rew,[status(thm),theory(equality)],[1644,1350]),
[iquote('1:Rew:1644.0,1350.1')] ).
cnf(1760,plain,
( equal(op1(e12,e13),e12)
| equal(op1(e14,e13),e12)
| equal(op1(unit1,e13),e12)
| equal(op1(e10,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[1644,1522]),
[iquote('1:Rew:1644.0,1522.2')] ).
cnf(1768,plain,
~ equal(op1(e14,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[1644,216]),
[iquote('1:Rew:1644.0,216.0')] ).
cnf(1795,plain,
~ equal(op1(e10,e12),op1(unit1,e12)),
inference(rew,[status(thm),theory(equality)],[1644,200]),
[iquote('1:Rew:1644.0,200.0')] ).
cnf(1808,plain,
~ equal(op1(e13,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[1644,185]),
[iquote('1:Rew:1644.0,185.0')] ).
cnf(1809,plain,
~ equal(op1(e12,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[1644,184]),
[iquote('1:Rew:1644.0,184.0')] ).
cnf(1810,plain,
~ equal(op1(e10,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[1644,180]),
[iquote('1:Rew:1644.0,180.0')] ).
cnf(1823,plain,
~ equal(op1(e10,e12),op1(e10,unit1)),
inference(rew,[status(thm),theory(equality)],[1644,234]),
[iquote('1:Rew:1644.0,234.0')] ).
cnf(1828,plain,
( ~ skC1
| ~ equal(unit1,unit1) ),
inference(rew,[status(thm),theory(equality)],[1644,1211]),
[iquote('1:Rew:1644.0,1211.1')] ).
cnf(1830,plain,
( equal(op1(e11,e13),e11)
| equal(op1(e14,e13),unit1)
| equal(op1(e12,e13),e11)
| equal(op1(e10,e13),e11) ),
inference(rew,[status(thm),theory(equality)],[1644,1526]),
[iquote('1:Rew:1644.0,1526.1')] ).
cnf(1849,plain,
( equal(op1(e10,e10),e10)
| equal(op1(e10,e10),e14)
| equal(op1(e10,e10),e13)
| equal(op1(e10,e10),e12)
| equal(op1(e10,e10),unit1) ),
inference(rew,[status(thm),theory(equality)],[1644,1000]),
[iquote('1:Rew:1644.0,1000.4')] ).
cnf(1851,plain,
( ~ skC0
| equal(op1(unit1,e10),unit1) ),
inference(rew,[status(thm),theory(equality)],[1644,1376]),
[iquote('1:Rew:1644.0,1376.1')] ).
cnf(1859,plain,
~ equal(e13,unit1),
inference(rew,[status(thm),theory(equality)],[1644,6]),
[iquote('1:Rew:1644.0,6.0')] ).
cnf(1860,plain,
~ equal(e12,unit1),
inference(rew,[status(thm),theory(equality)],[1644,5]),
[iquote('1:Rew:1644.0,5.0')] ).
cnf(1861,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[1644,1]),
[iquote('1:Rew:1644.0,1.0')] ).
cnf(1889,plain,
~ skC1,
inference(obv,[status(thm),theory(equality)],[1828]),
[iquote('1:Obv:1828.1')] ).
cnf(1894,plain,
( ~ equal(op1(e10,e12),e14)
| skC3
| skC2
| skC0
| equal(op1(e10,e14),e12) ),
inference(mrr,[status(thm)],[813,1889]),
[iquote('1:MRR:813.3,1889.0')] ).
cnf(1898,plain,
( ~ skC0
| equal(e10,unit1) ),
inference(rew,[status(thm),theory(equality)],[51,1851]),
[iquote('1:Rew:51.0,1851.1')] ).
cnf(1899,plain,
~ skC0,
inference(mrr,[status(thm)],[1898,1861]),
[iquote('1:MRR:1898.1,1861.0')] ).
cnf(1907,plain,
( ~ skC3
| ~ equal(e13,e13) ),
inference(rew,[status(thm),theory(equality)],[58,1741]),
[iquote('1:Rew:58.0,1741.1')] ).
cnf(1908,plain,
~ skC3,
inference(obv,[status(thm),theory(equality)],[1907]),
[iquote('1:Obv:1907.1')] ).
cnf(1911,plain,
~ equal(op1(e13,e10),e13),
inference(rew,[status(thm),theory(equality)],[58,1745]),
[iquote('1:Rew:58.0,1745.0')] ).
cnf(1912,plain,
( equal(op1(e13,e10),e10)
| equal(op1(e13,e10),e12) ),
inference(mrr,[status(thm)],[1574,1911]),
[iquote('1:MRR:1574.0,1911.0')] ).
cnf(1914,plain,
( ~ skC2
| ~ equal(e12,e12) ),
inference(rew,[status(thm),theory(equality)],[56,1749]),
[iquote('1:Rew:56.0,1749.1')] ).
cnf(1915,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[1914]),
[iquote('1:Obv:1914.1')] ).
cnf(1921,plain,
~ equal(op1(e14,e13),e13),
inference(rew,[status(thm),theory(equality)],[57,1768]),
[iquote('1:Rew:57.0,1768.0')] ).
cnf(1932,plain,
~ equal(op1(e10,e12),e12),
inference(rew,[status(thm),theory(equality)],[55,1795]),
[iquote('1:Rew:55.0,1795.0')] ).
cnf(1933,plain,
( equal(op1(e10,e12),e10)
| equal(op1(e10,e12),e14) ),
inference(mrr,[status(thm)],[1584,1932]),
[iquote('1:MRR:1584.0,1932.0')] ).
cnf(1940,plain,
~ equal(op1(e13,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,1808]),
[iquote('1:Rew:51.0,1808.0')] ).
cnf(1941,plain,
equal(op1(e13,e14),e10),
inference(mrr,[status(thm)],[1530,1940]),
[iquote('1:MRR:1530.0,1940.0')] ).
cnf(1945,plain,
~ equal(op1(e12,e14),e10),
inference(rew,[status(thm),theory(equality)],[1941,227]),
[iquote('1:Rew:1941.0,227.0')] ).
cnf(1949,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[1544,1945]),
[iquote('1:MRR:1544.1,1945.0')] ).
cnf(1951,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,1809]),
[iquote('1:Rew:51.0,1809.0')] ).
cnf(1952,plain,
~ equal(op1(e10,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,1810]),
[iquote('1:Rew:51.0,1810.0')] ).
cnf(1956,plain,
~ equal(op1(e10,e12),e10),
inference(rew,[status(thm),theory(equality)],[52,1823]),
[iquote('1:Rew:52.0,1823.0')] ).
cnf(1974,plain,
equal(op1(e13,e10),e12),
inference(mrr,[status(thm)],[1912,1940]),
[iquote('1:MRR:1912.0,1940.0')] ).
cnf(1978,plain,
~ equal(op1(e10,e10),e12),
inference(rew,[status(thm),theory(equality)],[1974,182]),
[iquote('1:Rew:1974.0,182.0')] ).
cnf(1982,plain,
equal(op1(e10,e12),e14),
inference(mrr,[status(thm)],[1933,1956]),
[iquote('1:MRR:1933.0,1956.0')] ).
cnf(1986,plain,
~ equal(op1(e10,e10),e14),
inference(rew,[status(thm),theory(equality)],[1982,231]),
[iquote('1:Rew:1982.0,231.0')] ).
cnf(1990,plain,
equal(op1(e12,e13),e10),
inference(mrr,[status(thm)],[1949,1951]),
[iquote('1:MRR:1949.0,1951.0')] ).
cnf(2000,plain,
( ~ equal(e14,e14)
| skC3
| skC2
| skC0
| equal(op1(e10,e14),e12) ),
inference(rew,[status(thm),theory(equality)],[1982,1894]),
[iquote('1:Rew:1982.0,1894.0')] ).
cnf(2001,plain,
( skC3
| skC2
| skC0
| equal(op1(e10,e14),e12) ),
inference(obv,[status(thm),theory(equality)],[2000]),
[iquote('1:Obv:2000.0')] ).
cnf(2002,plain,
equal(op1(e10,e14),e12),
inference(mrr,[status(thm)],[2001,1908,1915,1899]),
[iquote('1:MRR:2001.0,2001.1,2001.2,1908.0,1915.0,1899.0')] ).
cnf(2003,plain,
~ equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[2002,239]),
[iquote('1:Rew:2002.0,239.0')] ).
cnf(2010,plain,
( ~ equal(e14,e14)
| skC3
| skC2
| skC1
| skC0
| equal(op1(e14,e14),unit1) ),
inference(rew,[status(thm),theory(equality)],[1644,1725,60]),
[iquote('1:Rew:1644.0,1725.5,60.0,1725.0')] ).
cnf(2011,plain,
( skC3
| skC2
| skC1
| skC0
| equal(op1(e14,e14),unit1) ),
inference(obv,[status(thm),theory(equality)],[2010]),
[iquote('1:Obv:2010.0')] ).
cnf(2012,plain,
equal(op1(e14,e14),unit1),
inference(mrr,[status(thm)],[2011,1908,1915,1889,1899]),
[iquote('1:MRR:2011.0,2011.1,2011.2,2011.3,1908.0,1915.0,1889.0,1899.0')] ).
cnf(2035,plain,
( equal(e13,unit1)
| equal(op1(e14,e13),e13)
| equal(e14,e13)
| equal(op1(e14,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[60,1715,2012]),
[iquote('1:Rew:60.0,1715.2,2012.0,1715.0')] ).
cnf(2036,plain,
equal(op1(e14,e10),e13),
inference(mrr,[status(thm)],[2035,1859,1921,10]),
[iquote('1:MRR:2035.0,2035.1,2035.2,1859.0,1921.0,10.0')] ).
cnf(2039,plain,
~ equal(op1(e10,e10),e13),
inference(rew,[status(thm),theory(equality)],[2036,183]),
[iquote('1:Rew:2036.0,183.0')] ).
cnf(2046,plain,
( equal(e12,e10)
| equal(op1(e14,e13),e12)
| equal(e13,e12)
| equal(op1(e10,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[57,1760,1990]),
[iquote('1:Rew:57.0,1760.2,1990.0,1760.0')] ).
cnf(2047,plain,
equal(op1(e14,e13),e12),
inference(mrr,[status(thm)],[2046,2,8,2003]),
[iquote('1:MRR:2046.0,2046.2,2046.3,2.0,8.0,2003.0')] ).
cnf(2066,plain,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e10,unit1)
| equal(op1(e10,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[1644,1830,1990,2047,57]),
[iquote('1:Rew:1644.0,1830.3,1990.0,1830.2,1644.0,1830.2,2047.0,1830.1,57.0,1830.0,1644.0,1830.0')] ).
cnf(2067,plain,
equal(op1(e10,e13),unit1),
inference(mrr,[status(thm)],[2066,1859,1860,1861]),
[iquote('1:MRR:2066.0,2066.1,2066.2,1859.0,1860.0,1861.0')] ).
cnf(2069,plain,
~ equal(op1(e10,e10),unit1),
inference(rew,[status(thm),theory(equality)],[2067,232]),
[iquote('1:Rew:2067.0,232.0')] ).
cnf(2083,plain,
$false,
inference(mrr,[status(thm)],[1849,1952,1986,2039,1978,2069]),
[iquote('1:MRR:1849.0,1849.1,1849.2,1849.3,1849.4,1952.0,1986.0,2039.0,1978.0,2069.0')] ).
cnf(2094,plain,
~ equal(e11,unit1),
inference(spt,[spt(split,[position(sa)])],[2083,1644]),
[iquote('1:Spt:2083.0,809.3,1644.0')] ).
cnf(2095,plain,
( equal(e14,unit1)
| equal(e13,unit1)
| equal(e12,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2)])],[809]),
[iquote('1:Spt:2083.0,809.0,809.1,809.2,809.4')] ).
cnf(2096,plain,
equal(e14,unit1),
inference(spt,[spt(split,[position(s2s1)])],[2095]),
[iquote('2:Spt:2095.0')] ).
cnf(2153,plain,
( equal(op1(e12,e11),e11)
| equal(op1(e12,unit1),e11)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[2096,1540]),
[iquote('2:Rew:2096.0,1540.1')] ).
cnf(2158,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,unit1),e10)
| equal(op1(e12,e13),e10) ),
inference(rew,[status(thm),theory(equality)],[2096,1544]),
[iquote('2:Rew:2096.0,1544.1')] ).
cnf(2174,plain,
~ equal(e13,unit1),
inference(rew,[status(thm),theory(equality)],[2096,10]),
[iquote('2:Rew:2096.0,10.0')] ).
cnf(2175,plain,
~ equal(e12,unit1),
inference(rew,[status(thm),theory(equality)],[2096,9]),
[iquote('2:Rew:2096.0,9.0')] ).
cnf(2176,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[2096,4]),
[iquote('2:Rew:2096.0,4.0')] ).
cnf(2186,plain,
~ equal(op1(e10,e12),op1(unit1,e12)),
inference(rew,[status(thm),theory(equality)],[2096,203]),
[iquote('2:Rew:2096.0,203.0')] ).
cnf(2196,plain,
~ equal(op1(e13,e11),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[2096,266]),
[iquote('2:Rew:2096.0,266.0')] ).
cnf(2215,plain,
~ equal(op1(e11,e13),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[2096,249]),
[iquote('2:Rew:2096.0,249.0')] ).
cnf(2216,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,unit1),e13)
| equal(op1(e11,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[2096,1552]),
[iquote('2:Rew:2096.0,1552.1')] ).
cnf(2226,plain,
~ equal(op1(e12,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[2096,198]),
[iquote('2:Rew:2096.0,198.0')] ).
cnf(2233,plain,
( equal(op1(e13,e11),e13)
| equal(op1(unit1,e11),e13)
| equal(op1(e10,e11),e13) ),
inference(rew,[status(thm),theory(equality)],[2096,1550]),
[iquote('2:Rew:2096.0,1550.1')] ).
cnf(2241,plain,
~ equal(op1(e11,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[2096,216]),
[iquote('2:Rew:2096.0,216.0')] ).
cnf(2248,plain,
~ equal(op1(e10,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[2096,213]),
[iquote('2:Rew:2096.0,213.0')] ).
cnf(2264,plain,
~ equal(op1(e12,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[2096,188]),
[iquote('2:Rew:2096.0,188.0')] ).
cnf(2279,plain,
~ equal(op1(e10,e13),op1(e10,unit1)),
inference(rew,[status(thm),theory(equality)],[2096,239]),
[iquote('2:Rew:2096.0,239.0')] ).
cnf(2280,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e10),e12)
| equal(op1(e10,unit1),e12)
| equal(op1(e10,e13),e12)
| equal(op1(e10,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[2096,971]),
[iquote('2:Rew:2096.0,971.2')] ).
cnf(2308,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e10,e10),e14)
| equal(op1(e12,e10),e14)
| equal(op1(e11,e10),unit1) ),
inference(rew,[status(thm),theory(equality)],[2096,1561]),
[iquote('2:Rew:2096.0,1561.3')] ).
cnf(2340,plain,
~ equal(op1(e10,e12),e12),
inference(rew,[status(thm),theory(equality)],[55,2186]),
[iquote('2:Rew:55.0,2186.0')] ).
cnf(2341,plain,
~ equal(op1(e13,e11),e13),
inference(rew,[status(thm),theory(equality)],[58,2196]),
[iquote('2:Rew:58.0,2196.0')] ).
cnf(2342,plain,
equal(op1(e13,e11),e12),
inference(mrr,[status(thm)],[1573,2341]),
[iquote('2:MRR:1573.0,2341.0')] ).
cnf(2361,plain,
~ equal(op1(e11,e13),e11),
inference(rew,[status(thm),theory(equality)],[54,2215]),
[iquote('2:Rew:54.0,2215.0')] ).
cnf(2362,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e13),e12) ),
inference(mrr,[status(thm)],[1580,2361]),
[iquote('2:MRR:1580.1,2361.0')] ).
cnf(2364,plain,
~ equal(op1(e12,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,2226]),
[iquote('2:Rew:53.0,2226.0')] ).
cnf(2367,plain,
~ equal(op1(e11,e13),e13),
inference(rew,[status(thm),theory(equality)],[57,2241]),
[iquote('2:Rew:57.0,2241.0')] ).
cnf(2371,plain,
~ equal(op1(e10,e13),e13),
inference(rew,[status(thm),theory(equality)],[57,2248]),
[iquote('2:Rew:57.0,2248.0')] ).
cnf(2372,plain,
( equal(op1(e10,e13),e10)
| equal(op1(e10,e13),e12)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[1583,2371]),
[iquote('2:MRR:1583.0,2371.0')] ).
cnf(2378,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,2264]),
[iquote('2:Rew:51.0,2264.0')] ).
cnf(2386,plain,
~ equal(op1(e10,e13),e10),
inference(rew,[status(thm),theory(equality)],[52,2279]),
[iquote('2:Rew:52.0,2279.0')] ).
cnf(2411,plain,
equal(op1(e11,e13),e12),
inference(mrr,[status(thm)],[2362,2367]),
[iquote('2:MRR:2362.0,2367.0')] ).
cnf(2414,plain,
~ equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[2411,210]),
[iquote('2:Rew:2411.0,210.0')] ).
cnf(2421,plain,
( equal(op1(e12,e10),e10)
| equal(e12,e10)
| equal(op1(e12,e13),e10) ),
inference(rew,[status(thm),theory(equality)],[56,2158]),
[iquote('2:Rew:56.0,2158.1')] ).
cnf(2422,plain,
equal(op1(e12,e13),e10),
inference(mrr,[status(thm)],[2421,2378,2]),
[iquote('2:MRR:2421.0,2421.1,2378.0,2.0')] ).
cnf(2433,plain,
( equal(e13,e12)
| equal(e13,e11)
| equal(op1(e11,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[54,2216,2411]),
[iquote('2:Rew:54.0,2216.1,2411.0,2216.0')] ).
cnf(2434,plain,
equal(op1(e11,e10),e13),
inference(mrr,[status(thm)],[2433,8,6]),
[iquote('2:MRR:2433.0,2433.1,8.0,6.0')] ).
cnf(2445,plain,
( equal(e13,e12)
| equal(e13,e11)
| equal(op1(e10,e11),e13) ),
inference(rew,[status(thm),theory(equality)],[53,2233,2342]),
[iquote('2:Rew:53.0,2233.1,2342.0,2233.0')] ).
cnf(2446,plain,
equal(op1(e10,e11),e13),
inference(mrr,[status(thm)],[2445,8,6]),
[iquote('2:MRR:2445.0,2445.1,8.0,6.0')] ).
cnf(2466,plain,
equal(op1(e10,e13),e11),
inference(mrr,[status(thm)],[2372,2386,2414]),
[iquote('2:MRR:2372.0,2372.1,2386.0,2414.0')] ).
cnf(2474,plain,
( equal(op1(e12,e11),e11)
| equal(e12,e11)
| equal(e11,e10)
| equal(op1(e12,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[2422,2153,56]),
[iquote('2:Rew:2422.0,2153.2,56.0,2153.1')] ).
cnf(2475,plain,
equal(op1(e12,e10),e11),
inference(mrr,[status(thm)],[2474,2364,5,1]),
[iquote('2:MRR:2474.0,2474.1,2474.2,2364.0,5.0,1.0')] ).
cnf(2489,plain,
( equal(e10,unit1)
| equal(op1(e10,e10),unit1)
| equal(e11,unit1)
| equal(e13,unit1) ),
inference(rew,[status(thm),theory(equality)],[2434,2308,2475,2096,51]),
[iquote('2:Rew:2434.0,2308.3,2475.0,2308.2,2096.0,2308.2,2096.0,2308.1,51.0,2308.0,2096.0,2308.0')] ).
cnf(2490,plain,
equal(op1(e10,e10),unit1),
inference(mrr,[status(thm)],[2489,2176,2094,2174]),
[iquote('2:MRR:2489.0,2489.2,2489.3,2176.0,2094.0,2174.0')] ).
cnf(2503,plain,
( equal(op1(e10,e12),e12)
| equal(e12,unit1)
| equal(e12,e10)
| equal(e12,e11)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[2446,2280,2466,52,2490]),
[iquote('2:Rew:2446.0,2280.4,2466.0,2280.3,52.0,2280.2,2490.0,2280.1')] ).
cnf(2504,plain,
$false,
inference(mrr,[status(thm)],[2503,2340,2175,2,5,8]),
[iquote('2:MRR:2503.0,2503.1,2503.2,2503.3,2503.4,2340.0,2175.0,2.0,5.0,8.0')] ).
cnf(2516,plain,
~ equal(e14,unit1),
inference(spt,[spt(split,[position(s2sa)])],[2504,2096]),
[iquote('2:Spt:2504.0,2095.0,2096.0')] ).
cnf(2517,plain,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2s2)])],[2095]),
[iquote('2:Spt:2504.0,2095.1,2095.2,2095.3')] ).
cnf(2518,plain,
equal(e13,unit1),
inference(spt,[spt(split,[position(s2s2s1)])],[2517]),
[iquote('3:Spt:2517.0')] ).
cnf(2583,plain,
~ equal(op1(e12,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[2518,187]),
[iquote('3:Rew:2518.0,187.0')] ).
cnf(2605,plain,
~ equal(op1(e10,e12),op1(e10,unit1)),
inference(rew,[status(thm),theory(equality)],[2518,237]),
[iquote('3:Rew:2518.0,237.0')] ).
cnf(2606,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e10),e11)
| equal(op1(e10,e14),e11)
| equal(op1(e10,unit1),e11) ),
inference(rew,[status(thm),theory(equality)],[2518,1566]),
[iquote('3:Rew:2518.0,1566.3')] ).
cnf(2615,plain,
~ equal(op1(e14,e14),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[2518,279]),
[iquote('3:Rew:2518.0,279.0')] ).
cnf(2622,plain,
~ equal(op1(e14,e11),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[2518,275]),
[iquote('3:Rew:2518.0,275.0')] ).
cnf(2640,plain,
~ equal(op1(e12,e10),op1(e12,unit1)),
inference(rew,[status(thm),theory(equality)],[2518,252]),
[iquote('3:Rew:2518.0,252.0')] ).
cnf(2642,plain,
~ equal(op1(e12,e11),op1(e12,unit1)),
inference(rew,[status(thm),theory(equality)],[2518,255]),
[iquote('3:Rew:2518.0,255.0')] ).
cnf(2661,plain,
( ~ skC1
| equal(op1(unit1,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[2518,1361]),
[iquote('3:Rew:2518.0,1361.1')] ).
cnf(2662,plain,
~ equal(op1(e14,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[2518,199]),
[iquote('3:Rew:2518.0,199.0')] ).
cnf(2665,plain,
~ equal(op1(e12,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[2518,197]),
[iquote('3:Rew:2518.0,197.0')] ).
cnf(2666,plain,
~ equal(op1(e10,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[2518,192]),
[iquote('3:Rew:2518.0,192.0')] ).
cnf(2679,plain,
~ equal(op1(e11,e10),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[2518,242]),
[iquote('3:Rew:2518.0,242.0')] ).
cnf(2682,plain,
( ~ skC3
| ~ equal(unit1,unit1) ),
inference(rew,[status(thm),theory(equality)],[2518,1205]),
[iquote('3:Rew:2518.0,1205.1')] ).
cnf(2686,plain,
( equal(op1(e14,e14),e14)
| equal(op1(e14,e14),unit1)
| equal(op1(e14,e14),e12)
| equal(op1(e14,e14),e11)
| equal(op1(e14,e14),e10) ),
inference(rew,[status(thm),theory(equality)],[2518,976]),
[iquote('3:Rew:2518.0,976.1')] ).
cnf(2703,plain,
( skC3
| skC2
| skC1
| skC0
| equal(op1(unit1,e14),unit1) ),
inference(rew,[status(thm),theory(equality)],[2518,1403]),
[iquote('3:Rew:2518.0,1403.4')] ).
cnf(2705,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)],[2518,1571]),
[iquote('3:Rew:2518.0,1571.2')] ).
cnf(2728,plain,
~ skC3,
inference(obv,[status(thm),theory(equality)],[2682]),
[iquote('3:Obv:2682.1')] ).
cnf(2740,plain,
( ~ skC1
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[53,2661]),
[iquote('3:Rew:53.0,2661.1')] ).
cnf(2741,plain,
~ skC1,
inference(mrr,[status(thm)],[2740,5]),
[iquote('3:MRR:2740.1,5.0')] ).
cnf(2745,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,2583]),
[iquote('3:Rew:51.0,2583.0')] ).
cnf(2746,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e14)
| equal(op1(e12,e10),e11) ),
inference(mrr,[status(thm)],[1578,2745]),
[iquote('3:MRR:1578.1,2745.0')] ).
cnf(2752,plain,
~ equal(op1(e10,e12),e10),
inference(rew,[status(thm),theory(equality)],[52,2605]),
[iquote('3:Rew:52.0,2605.0')] ).
cnf(2753,plain,
equal(op1(e14,e12),e10),
inference(mrr,[status(thm)],[1542,2752]),
[iquote('3:MRR:1542.0,2752.0')] ).
cnf(2757,plain,
~ equal(op1(e14,e14),e10),
inference(rew,[status(thm),theory(equality)],[2753,278]),
[iquote('3:Rew:2753.0,278.0')] ).
cnf(2766,plain,
( ~ skC2
| ~ equal(op1(e14,e14),e12)
| equal(e14,e10) ),
inference(rew,[status(thm),theory(equality)],[2753,651]),
[iquote('3:Rew:2753.0,651.2')] ).
cnf(2768,plain,
~ equal(op1(e14,e14),e14),
inference(rew,[status(thm),theory(equality)],[60,2615]),
[iquote('3:Rew:60.0,2615.0')] ).
cnf(2775,plain,
~ equal(op1(e14,e11),e14),
inference(rew,[status(thm),theory(equality)],[60,2622]),
[iquote('3:Rew:60.0,2622.0')] ).
cnf(2781,plain,
~ equal(op1(e12,e10),e12),
inference(rew,[status(thm),theory(equality)],[56,2640]),
[iquote('3:Rew:56.0,2640.0')] ).
cnf(2783,plain,
~ equal(op1(e12,e11),e12),
inference(rew,[status(thm),theory(equality)],[56,2642]),
[iquote('3:Rew:56.0,2642.0')] ).
cnf(2784,plain,
( equal(op1(e12,e11),e11)
| equal(op1(e12,e11),e14) ),
inference(mrr,[status(thm)],[1577,2783]),
[iquote('3:MRR:1577.0,2783.0')] ).
cnf(2795,plain,
~ equal(op1(e14,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,2662]),
[iquote('3:Rew:53.0,2662.0')] ).
cnf(2799,plain,
~ equal(op1(e12,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,2665]),
[iquote('3:Rew:53.0,2665.0')] ).
cnf(2800,plain,
~ equal(op1(e10,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,2666]),
[iquote('3:Rew:53.0,2666.0')] ).
cnf(2808,plain,
~ equal(op1(e11,e10),e11),
inference(rew,[status(thm),theory(equality)],[54,2679]),
[iquote('3:Rew:54.0,2679.0')] ).
cnf(2809,plain,
~ skC0,
inference(mrr,[status(thm)],[1376,2808]),
[iquote('3:MRR:1376.1,2808.0')] ).
cnf(2811,plain,
( skC3
| skC2
| skC1
| skC0
| equal(e14,unit1) ),
inference(rew,[status(thm),theory(equality)],[59,2703]),
[iquote('3:Rew:59.0,2703.4')] ).
cnf(2812,plain,
skC2,
inference(mrr,[status(thm)],[2811,2728,2741,2809,2516]),
[iquote('3:MRR:2811.0,2811.2,2811.3,2811.4,2728.0,2741.0,2809.0,2516.0')] ).
cnf(2813,plain,
~ equal(op1(e14,e11),e12),
inference(mrr,[status(thm)],[1341,2812]),
[iquote('3:MRR:1341.0,2812.0')] ).
cnf(2821,plain,
equal(op1(e12,e11),e14),
inference(mrr,[status(thm)],[2784,2799]),
[iquote('3:MRR:2784.0,2799.0')] ).
cnf(2826,plain,
~ equal(op1(e12,e10),e14),
inference(rew,[status(thm),theory(equality)],[2821,250]),
[iquote('3:Rew:2821.0,250.0')] ).
cnf(2833,plain,
~ equal(op1(e14,e14),e12),
inference(mrr,[status(thm)],[2766,2812,4]),
[iquote('3:MRR:2766.0,2766.2,2812.0,4.0')] ).
cnf(2859,plain,
equal(op1(e12,e10),e11),
inference(mrr,[status(thm)],[2746,2781,2826]),
[iquote('3:MRR:2746.0,2746.1,2781.0,2826.0')] ).
cnf(2862,plain,
~ equal(op1(e10,e10),e11),
inference(rew,[status(thm),theory(equality)],[2859,181]),
[iquote('3:Rew:2859.0,181.0')] ).
cnf(2878,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e10),e11)
| equal(op1(e10,e14),e11)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[52,2606]),
[iquote('3:Rew:52.0,2606.3')] ).
cnf(2879,plain,
equal(op1(e10,e14),e11),
inference(mrr,[status(thm)],[2878,2800,2862,1]),
[iquote('3:MRR:2878.0,2878.1,2878.3,2800.0,2862.0,1.0')] ).
cnf(2880,plain,
~ equal(op1(e14,e14),e11),
inference(rew,[status(thm),theory(equality)],[2879,223]),
[iquote('3:Rew:2879.0,223.0')] ).
cnf(2907,plain,
equal(op1(e14,e11),unit1),
inference(mrr,[status(thm)],[2705,2775,2795,2813]),
[iquote('3:MRR:2705.0,2705.1,2705.3,2775.0,2795.0,2813.0')] ).
cnf(2909,plain,
~ equal(op1(e14,e14),unit1),
inference(rew,[status(thm),theory(equality)],[2907,276]),
[iquote('3:Rew:2907.0,276.0')] ).
cnf(2967,plain,
$false,
inference(mrr,[status(thm)],[2686,2768,2909,2833,2880,2757]),
[iquote('3:MRR:2686.0,2686.1,2686.2,2686.3,2686.4,2768.0,2909.0,2833.0,2880.0,2757.0')] ).
cnf(2978,plain,
~ equal(e13,unit1),
inference(spt,[spt(split,[position(s2s2sa)])],[2967,2518]),
[iquote('3:Spt:2967.0,2517.0,2518.0')] ).
cnf(2979,plain,
( equal(e12,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2s2s2)])],[2517]),
[iquote('3:Spt:2967.0,2517.1,2517.2')] ).
cnf(2980,plain,
equal(e12,unit1),
inference(spt,[spt(split,[position(s2s2s2s1)])],[2979]),
[iquote('4:Spt:2979.0')] ).
cnf(2991,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[2980,2]),
[iquote('4:Rew:2980.0,2.0')] ).
cnf(3000,plain,
~ equal(op1(e13,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[2980,187]),
[iquote('4:Rew:2980.0,187.0')] ).
cnf(3007,plain,
~ equal(op1(e14,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[2980,188]),
[iquote('4:Rew:2980.0,188.0')] ).
cnf(3026,plain,
~ equal(op1(e11,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[2980,214]),
[iquote('4:Rew:2980.0,214.0')] ).
cnf(3038,plain,
~ equal(op1(e11,e13),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[2980,247]),
[iquote('4:Rew:2980.0,247.0')] ).
cnf(3041,plain,
( equal(op1(e11,e14),e14)
| equal(op1(e11,unit1),e14)
| equal(op1(e11,e10),e14) ),
inference(rew,[status(thm),theory(equality)],[2980,1548]),
[iquote('4:Rew:2980.0,1548.1')] ).
cnf(3050,plain,
~ equal(op1(e11,e14),op1(unit1,e14)),
inference(rew,[status(thm),theory(equality)],[2980,224]),
[iquote('4:Rew:2980.0,224.0')] ).
cnf(3063,plain,
~ equal(op1(e14,e11),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[2980,274]),
[iquote('4:Rew:2980.0,274.0')] ).
cnf(3064,plain,
~ equal(op1(e14,e10),op1(e14,unit1)),
inference(rew,[status(thm),theory(equality)],[2980,271]),
[iquote('4:Rew:2980.0,271.0')] ).
cnf(3094,plain,
~ equal(op1(e10,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[2980,191]),
[iquote('4:Rew:2980.0,191.0')] ).
cnf(3098,plain,
( equal(op1(e14,e11),e14)
| equal(op1(unit1,e11),e14)
| equal(op1(e10,e11),e14) ),
inference(rew,[status(thm),theory(equality)],[2980,1546]),
[iquote('4:Rew:2980.0,1546.1')] ).
cnf(3113,plain,
( ~ skC1
| equal(op1(e13,e11),unit1) ),
inference(rew,[status(thm),theory(equality)],[2980,1361]),
[iquote('4:Rew:2980.0,1361.1')] ).
cnf(3116,plain,
( ~ skC3
| equal(op1(unit1,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[2980,1335]),
[iquote('4:Rew:2980.0,1335.1')] ).
cnf(3118,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e13),e11)
| equal(op1(e11,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[2980,1580]),
[iquote('4:Rew:2980.0,1580.2')] ).
cnf(3119,plain,
( ~ skC2
| ~ equal(op1(e11,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[2980,1353]),
[iquote('4:Rew:2980.0,1353.1')] ).
cnf(3120,plain,
( equal(op1(e14,e14),e12)
| equal(op1(e12,e14),e12)
| equal(op1(e13,e14),unit1)
| equal(op1(e11,e14),e12)
| equal(op1(e10,e14),e12) ),
inference(rew,[status(thm),theory(equality)],[2980,930]),
[iquote('4:Rew:2980.0,930.2')] ).
cnf(3144,plain,
( equal(op1(e14,e10),e14)
| equal(op1(e14,e10),e10)
| equal(op1(e14,e10),e13)
| equal(op1(e14,e10),unit1)
| equal(op1(e14,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[2980,980]),
[iquote('4:Rew:2980.0,980.3')] ).
cnf(3166,plain,
( ~ skC3
| equal(e13,unit1) ),
inference(rew,[status(thm),theory(equality)],[57,3116]),
[iquote('4:Rew:57.0,3116.1')] ).
cnf(3167,plain,
~ skC3,
inference(mrr,[status(thm)],[3166,2978]),
[iquote('4:MRR:3166.1,2978.0')] ).
cnf(3168,plain,
( skC2
| skC1
| skC0
| equal(op1(e13,e14),e13) ),
inference(mrr,[status(thm)],[1403,3167]),
[iquote('4:MRR:1403.0,3167.0')] ).
cnf(3174,plain,
~ equal(op1(e13,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,3000]),
[iquote('4:Rew:51.0,3000.0')] ).
cnf(3175,plain,
equal(op1(e13,e14),e10),
inference(mrr,[status(thm)],[1530,3174]),
[iquote('4:MRR:1530.0,3174.0')] ).
cnf(3179,plain,
( ~ skC0
| ~ equal(e10,e10) ),
inference(rew,[status(thm),theory(equality)],[3175,1370]),
[iquote('4:Rew:3175.0,1370.1')] ).
cnf(3186,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[3179]),
[iquote('4:Obv:3179.1')] ).
cnf(3190,plain,
~ equal(op1(e14,e10),e10),
inference(rew,[status(thm),theory(equality)],[51,3007]),
[iquote('4:Rew:51.0,3007.0')] ).
cnf(3191,plain,
~ equal(op1(e11,e13),e13),
inference(rew,[status(thm),theory(equality)],[57,3026]),
[iquote('4:Rew:57.0,3026.0')] ).
cnf(3193,plain,
( equal(op1(e11,e14),e13)
| equal(op1(e11,e10),e13) ),
inference(mrr,[status(thm)],[1552,3191]),
[iquote('4:MRR:1552.0,3191.0')] ).
cnf(3200,plain,
~ equal(op1(e11,e13),e11),
inference(rew,[status(thm),theory(equality)],[54,3038]),
[iquote('4:Rew:54.0,3038.0')] ).
cnf(3207,plain,
~ equal(op1(e11,e14),e14),
inference(rew,[status(thm),theory(equality)],[59,3050]),
[iquote('4:Rew:59.0,3050.0')] ).
cnf(3212,plain,
~ equal(op1(e14,e11),e14),
inference(rew,[status(thm),theory(equality)],[60,3063]),
[iquote('4:Rew:60.0,3063.0')] ).
cnf(3214,plain,
~ equal(op1(e14,e10),e14),
inference(rew,[status(thm),theory(equality)],[60,3064]),
[iquote('4:Rew:60.0,3064.0')] ).
cnf(3225,plain,
~ equal(op1(e10,e11),e11),
inference(rew,[status(thm),theory(equality)],[53,3094]),
[iquote('4:Rew:53.0,3094.0')] ).
cnf(3226,plain,
( equal(op1(e10,e10),e11)
| equal(op1(e10,e14),e11)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[1566,3225]),
[iquote('4:MRR:1566.0,3225.0')] ).
cnf(3234,plain,
( skC2
| skC1
| skC0
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[3175,3168]),
[iquote('4:Rew:3175.0,3168.3')] ).
cnf(3235,plain,
( skC2
| skC1 ),
inference(mrr,[status(thm)],[3234,3186,3]),
[iquote('4:MRR:3234.2,3234.3,3186.0,3.0')] ).
cnf(3280,plain,
( equal(op1(e11,e14),e14)
| equal(e14,e11)
| equal(op1(e11,e10),e14) ),
inference(rew,[status(thm),theory(equality)],[54,3041]),
[iquote('4:Rew:54.0,3041.1')] ).
cnf(3281,plain,
equal(op1(e11,e10),e14),
inference(mrr,[status(thm)],[3280,3207,7]),
[iquote('4:MRR:3280.0,3280.1,3207.0,7.0')] ).
cnf(3283,plain,
( equal(op1(e11,e14),e13)
| equal(e14,e13) ),
inference(rew,[status(thm),theory(equality)],[3281,3193]),
[iquote('4:Rew:3281.0,3193.1')] ).
cnf(3292,plain,
equal(op1(e11,e14),e13),
inference(mrr,[status(thm)],[3283,10]),
[iquote('4:MRR:3283.1,10.0')] ).
cnf(3303,plain,
( equal(op1(e14,e11),e14)
| equal(e14,e11)
| equal(op1(e10,e11),e14) ),
inference(rew,[status(thm),theory(equality)],[53,3098]),
[iquote('4:Rew:53.0,3098.1')] ).
cnf(3304,plain,
equal(op1(e10,e11),e14),
inference(mrr,[status(thm)],[3303,3212,7]),
[iquote('4:MRR:3303.0,3303.1,3212.0,7.0')] ).
cnf(3311,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e14,e11),e13)
| equal(e14,e13) ),
inference(rew,[status(thm),theory(equality)],[3304,1550]),
[iquote('4:Rew:3304.0,1550.2')] ).
cnf(3312,plain,
( ~ skC1
| ~ equal(op1(e10,e13),e11)
| equal(e14,e13) ),
inference(rew,[status(thm),theory(equality)],[3304,614]),
[iquote('4:Rew:3304.0,614.2')] ).
cnf(3315,plain,
( ~ skC1
| ~ equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[3312,10]),
[iquote('4:MRR:3312.2,10.0')] ).
cnf(3316,plain,
( equal(op1(e13,e11),e13)
| equal(op1(e14,e11),e13) ),
inference(mrr,[status(thm)],[3311,10]),
[iquote('4:MRR:3311.2,10.0')] ).
cnf(3319,plain,
equal(op1(e11,e13),unit1),
inference(mrr,[status(thm)],[3118,3191,3200]),
[iquote('4:MRR:3118.0,3118.1,3191.0,3200.0')] ).
cnf(3325,plain,
( ~ skC2
| ~ equal(unit1,unit1) ),
inference(rew,[status(thm),theory(equality)],[3319,3119]),
[iquote('4:Rew:3319.0,3119.1')] ).
cnf(3326,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[3325]),
[iquote('4:Obv:3325.1')] ).
cnf(3327,plain,
skC1,
inference(mrr,[status(thm)],[3235,3326]),
[iquote('4:MRR:3235.0,3326.0')] ).
cnf(3328,plain,
~ equal(op1(e14,e10),e11),
inference(mrr,[status(thm)],[1358,3327]),
[iquote('4:MRR:1358.0,3327.0')] ).
cnf(3329,plain,
~ equal(op1(e10,e10),e11),
inference(mrr,[status(thm)],[1369,3327]),
[iquote('4:MRR:1369.0,3327.0')] ).
cnf(3330,plain,
equal(op1(e13,e11),unit1),
inference(mrr,[status(thm)],[3113,3327]),
[iquote('4:MRR:3113.0,3327.0')] ).
cnf(3332,plain,
~ equal(op1(e10,e13),e11),
inference(mrr,[status(thm)],[3315,3327]),
[iquote('4:MRR:3315.0,3327.0')] ).
cnf(3336,plain,
( equal(e13,unit1)
| equal(op1(e14,e11),e13) ),
inference(rew,[status(thm),theory(equality)],[3330,3316]),
[iquote('4:Rew:3330.0,3316.0')] ).
cnf(3340,plain,
equal(op1(e14,e11),e13),
inference(mrr,[status(thm)],[3336,2978]),
[iquote('4:MRR:3336.0,2978.0')] ).
cnf(3342,plain,
~ equal(op1(e14,e10),e13),
inference(rew,[status(thm),theory(equality)],[3340,270]),
[iquote('4:Rew:3340.0,270.0')] ).
cnf(3358,plain,
equal(op1(e10,e14),e11),
inference(mrr,[status(thm)],[3226,3329,3332]),
[iquote('4:MRR:3226.0,3226.2,3329.0,3332.0')] ).
cnf(3378,plain,
( equal(op1(e14,e14),unit1)
| equal(e14,unit1)
| equal(e10,unit1)
| equal(e13,unit1)
| equal(e11,unit1) ),
inference(rew,[status(thm),theory(equality)],[3358,3120,2980,3292,3175,59]),
[iquote('4:Rew:3358.0,3120.4,2980.0,3120.4,3292.0,3120.3,2980.0,3120.3,3175.0,3120.2,59.0,3120.1,2980.0,3120.1,2980.0,3120.0')] ).
cnf(3379,plain,
equal(op1(e14,e14),unit1),
inference(mrr,[status(thm)],[3378,2516,2991,2978,2094]),
[iquote('4:MRR:3378.1,3378.2,3378.3,3378.4,2516.0,2991.0,2978.0,2094.0')] ).
cnf(3380,plain,
~ equal(op1(e14,e10),unit1),
inference(rew,[status(thm),theory(equality)],[3379,273]),
[iquote('4:Rew:3379.0,273.0')] ).
cnf(3395,plain,
$false,
inference(mrr,[status(thm)],[3144,3214,3190,3342,3380,3328]),
[iquote('4:MRR:3144.0,3144.1,3144.2,3144.3,3144.4,3214.0,3190.0,3342.0,3380.0,3328.0')] ).
cnf(3406,plain,
~ equal(e12,unit1),
inference(spt,[spt(split,[position(s2s2s2sa)])],[3395,2980]),
[iquote('4:Spt:3395.0,2979.0,2980.0')] ).
cnf(3407,plain,
equal(e10,unit1),
inference(spt,[spt(split,[position(s2s2s2s2)])],[2979]),
[iquote('4:Spt:3395.0,2979.1')] ).
cnf(3411,plain,
( ~ equal(h5(unit1),e20)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[3407,153]),
[iquote('4:Rew:3407.0,153.0')] ).
cnf(3412,plain,
equal(op2(h5(e11),h5(e11)),h5(unit1)),
inference(rew,[status(thm),theory(equality)],[3407,1377]),
[iquote('4:Rew:3407.0,1377.0')] ).
cnf(3430,plain,
equal(op1(unit1,unit1),unit1),
inference(rew,[status(thm),theory(equality)],[3407,52]),
[iquote('4:Rew:3407.0,52.0')] ).
cnf(3437,plain,
~ equal(e12,unit1),
inference(rew,[status(thm),theory(equality)],[3407,2]),
[iquote('4:Rew:3407.0,2.0')] ).
cnf(3443,plain,
( ~ skC0
| ~ equal(unit1,unit1) ),
inference(rew,[status(thm),theory(equality)],[3407,1258]),
[iquote('4:Rew:3407.0,1258.1')] ).
cnf(3444,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[3443]),
[iquote('4:Obv:3443.1')] ).
cnf(3456,plain,
( ~ skC2
| ~ equal(e12,e12) ),
inference(rew,[status(thm),theory(equality)],[56,1352,3407]),
[iquote('4:Rew:56.0,1352.1,3407.0,1352.1')] ).
cnf(3457,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[3456]),
[iquote('4:Obv:3456.1')] ).
cnf(3461,plain,
~ equal(op1(e11,e12),e12),
inference(rew,[status(thm),theory(equality)],[55,200,3407]),
[iquote('4:Rew:55.0,200.0,3407.0,200.0')] ).
cnf(3470,plain,
~ equal(op1(e12,e13),e12),
inference(rew,[status(thm),theory(equality)],[56,252,3407]),
[iquote('4:Rew:56.0,252.0,3407.0,252.0')] ).
cnf(3471,plain,
~ skC3,
inference(mrr,[status(thm)],[1335,3470]),
[iquote('4:MRR:1335.1,3470.0')] ).
cnf(3479,plain,
~ equal(op1(e13,e14),e13),
inference(rew,[status(thm),theory(equality)],[58,263,3407]),
[iquote('4:Rew:58.0,263.0,3407.0,263.0')] ).
cnf(3486,plain,
~ equal(op1(e11,e13),e11),
inference(rew,[status(thm),theory(equality)],[54,242,3407]),
[iquote('4:Rew:54.0,242.0,3407.0,242.0')] ).
cnf(3493,plain,
~ equal(op1(e11,e13),e13),
inference(rew,[status(thm),theory(equality)],[57,210,3407]),
[iquote('4:Rew:57.0,210.0,3407.0,210.0')] ).
cnf(3497,plain,
~ equal(op1(e14,e11),e14),
inference(rew,[status(thm),theory(equality)],[60,270,3407]),
[iquote('4:Rew:60.0,270.0,3407.0,270.0')] ).
cnf(3506,plain,
skC1,
inference(mrr,[status(thm)],[1403,3471,3457,3444,3479]),
[iquote('4:MRR:1403.0,1403.1,1403.3,1403.4,3471.0,3457.0,3444.0,3479.0')] ).
cnf(3507,plain,
equal(op1(e13,e11),e12),
inference(mrr,[status(thm)],[1361,3506]),
[iquote('4:MRR:1361.0,3506.0')] ).
cnf(3508,plain,
~ equal(op1(e12,e13),e11),
inference(mrr,[status(thm)],[1362,3506]),
[iquote('4:MRR:1362.0,3506.0')] ).
cnf(3516,plain,
( equal(e12,unit1)
| equal(op1(e14,e12),unit1) ),
inference(rew,[status(thm),theory(equality)],[3407,1542,55]),
[iquote('4:Rew:3407.0,1542.1,55.0,1542.0,3407.0,1542.0')] ).
cnf(3517,plain,
equal(op1(e14,e12),unit1),
inference(mrr,[status(thm)],[3516,3437]),
[iquote('4:MRR:3516.0,3437.0')] ).
cnf(3526,plain,
equal(op1(e11,e12),e14),
inference(mrr,[status(thm)],[1581,3461]),
[iquote('4:MRR:1581.0,3461.0')] ).
cnf(3533,plain,
( equal(e13,unit1)
| equal(op1(e13,e14),unit1) ),
inference(rew,[status(thm),theory(equality)],[3407,1530,58]),
[iquote('4:Rew:3407.0,1530.1,58.0,1530.0,3407.0,1530.0')] ).
cnf(3534,plain,
equal(op1(e13,e14),unit1),
inference(mrr,[status(thm)],[3533,2978]),
[iquote('4:MRR:3533.0,2978.0')] ).
cnf(3543,plain,
~ equal(op1(e14,e14),e11),
inference(mrr,[status(thm)],[631,3506,3497]),
[iquote('4:MRR:631.0,631.2,3506.0,3497.0')] ).
cnf(3550,plain,
equal(op1(e11,e13),e12),
inference(mrr,[status(thm)],[1580,3493,3486]),
[iquote('4:MRR:1580.0,1580.1,3493.0,3486.0')] ).
cnf(3559,plain,
( equal(op1(e14,e11),e14)
| equal(op1(e12,e11),e14)
| equal(e14,e11) ),
inference(rew,[status(thm),theory(equality)],[53,1546,3407]),
[iquote('4:Rew:53.0,1546.2,3407.0,1546.2')] ).
cnf(3560,plain,
equal(op1(e12,e11),e14),
inference(mrr,[status(thm)],[3559,3497,7]),
[iquote('4:MRR:3559.0,3559.2,3497.0,7.0')] ).
cnf(3570,plain,
( equal(op1(e12,e13),e12)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[3407,1576]),
[iquote('4:Rew:3407.0,1576.2')] ).
cnf(3571,plain,
equal(op1(e12,e13),unit1),
inference(mrr,[status(thm)],[3570,3470,3508]),
[iquote('4:MRR:3570.0,3570.1,3470.0,3508.0')] ).
cnf(3581,plain,
( equal(e13,e12)
| equal(op1(e11,e14),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[54,1552,3407,3550]),
[iquote('4:Rew:54.0,1552.2,3407.0,1552.2,3550.0,1552.0')] ).
cnf(3582,plain,
equal(op1(e11,e14),e13),
inference(mrr,[status(thm)],[3581,8,6]),
[iquote('4:MRR:3581.0,3581.2,8.0,6.0')] ).
cnf(3591,plain,
( equal(e13,e12)
| equal(op1(e14,e11),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[53,1550,3407,3507]),
[iquote('4:Rew:53.0,1550.2,3407.0,1550.2,3507.0,1550.0')] ).
cnf(3592,plain,
equal(op1(e14,e11),e13),
inference(mrr,[status(thm)],[3591,8,6]),
[iquote('4:MRR:3591.0,3591.2,8.0,6.0')] ).
cnf(3600,plain,
( equal(op1(e14,e14),e11)
| equal(e13,e11)
| equal(op1(e14,e13),e11)
| equal(e14,e11) ),
inference(rew,[status(thm),theory(equality)],[60,1514,3407,3592]),
[iquote('4:Rew:60.0,1514.3,3407.0,1514.3,3592.0,1514.1')] ).
cnf(3601,plain,
equal(op1(e14,e13),e11),
inference(mrr,[status(thm)],[3600,3543,6,7]),
[iquote('4:MRR:3600.0,3600.1,3600.3,3543.0,6.0,7.0')] ).
cnf(3609,plain,
( equal(e14,e11)
| equal(op1(e12,e14),e11)
| equal(e11,unit1)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[56,1540,3407,3571,3560]),
[iquote('4:Rew:56.0,1540.3,3407.0,1540.3,3571.0,1540.2,3560.0,1540.0')] ).
cnf(3610,plain,
equal(op1(e12,e14),e11),
inference(mrr,[status(thm)],[3609,7,2094,5]),
[iquote('4:MRR:3609.0,3609.2,3609.3,7.0,2094.0,5.0')] ).
cnf(3630,plain,
( equal(op1(e14,e14),e12)
| equal(e12,e11)
| equal(e12,unit1)
| equal(e13,e12)
| equal(e14,e12) ),
inference(rew,[status(thm),theory(equality)],[59,930,3407,3582,3534,3610]),
[iquote('4:Rew:59.0,930.4,3407.0,930.4,3582.0,930.3,3534.0,930.2,3610.0,930.1')] ).
cnf(3631,plain,
equal(op1(e14,e14),e12),
inference(mrr,[status(thm)],[3630,5,3437,8,9]),
[iquote('4:MRR:3630.1,3630.2,3630.3,3630.4,5.0,3437.0,8.0,9.0')] ).
cnf(3646,plain,
( ~ skC27
| ~ skC26
| ~ skC25
| ~ skC24
| ~ equal(op2(e24,h5(e14)),h5(e11))
| ~ equal(op2(e24,h5(e11)),h5(e14))
| ~ equal(op2(e24,h5(unit1)),e24)
| ~ equal(op2(e24,h4(e14)),h5(unit1))
| ~ equal(op2(h5(e14),e24),h5(unit1))
| ~ equal(op2(h5(e11),e24),h5(e14))
| ~ equal(op2(h5(unit1),e24),e24)
| ~ equal(op2(h5(e14),h5(e14)),e24)
| ~ equal(op2(h5(unit1),h5(unit1)),h5(unit1))
| ~ equal(op2(h5(e14),h5(e11)),h4(e14))
| ~ equal(op2(h5(e14),h5(unit1)),h5(e14))
| ~ equal(op2(h5(e11),h5(e14)),h4(e14))
| ~ equal(op2(h5(e11),h5(unit1)),h5(e11))
| ~ equal(op2(h5(unit1),h5(e14)),h5(e14))
| ~ equal(op2(h5(unit1),h5(e11)),h5(e11))
| ~ equal(op2(h5(e14),h4(e14)),h5(e11))
| ~ equal(op2(h4(e14),h5(e14)),h5(unit1))
| ~ equal(op2(h4(e14),h5(e11)),e24)
| ~ equal(op2(h4(e14),h5(unit1)),h4(e14))
| ~ equal(op2(h5(e11),h4(e14)),e24)
| ~ equal(op2(h5(unit1),h4(e14)),h4(e14)) ),
inference(rew,[status(thm),theory(equality)],[1157,1591,57,3407,50,3550,58,3507,3534,3601,53,59,54,3582,60,3592,3430,3631,55,3526,3517,3571,56,3560,3610]),
[iquote('4:Rew:1157.0,1591.24,57.0,1591.24,3407.0,1591.24,50.0,1591.23,3550.0,1591.23,1157.0,1591.22,58.0,1591.22,3407.0,1591.22,50.0,1591.21,3507.0,1591.21,3534.0,1591.20,3601.0,1591.19,53.0,1591.18,3407.0,1591.18,59.0,1591.17,3407.0,1591.17,54.0,1591.16,3407.0,1591.16,1157.0,1591.15,3582.0,1591.15,60.0,1591.14,3407.0,1591.14,1157.0,1591.13,3592.0,1591.13,3430.0,1591.12,3407.0,1591.12,50.0,1591.11,3631.0,1591.11,50.0,1591.10,55.0,1591.10,3407.0,1591.10,3526.0,1591.9,3517.0,1591.8,3571.0,1591.7,50.0,1591.6,56.0,1591.6,3407.0,1591.6,3560.0,1591.5,3610.0,1591.4')] ).
cnf(3652,plain,
equal(e20,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[810]),
[iquote('5:Spt:810.4')] ).
cnf(3672,plain,
~ equal(op2(e24,e21),op2(e24,unit2)),
inference(rew,[status(thm),theory(equality)],[3652,370]),
[iquote('5:Rew:3652.0,370.0')] ).
cnf(3674,plain,
~ equal(op2(e24,unit2),h4(e14)),
inference(rew,[status(thm),theory(equality)],[3652,1166]),
[iquote('5:Rew:3652.0,1166.0')] ).
cnf(3678,plain,
( ~ skC7
| ~ equal(op2(e23,unit2),e23) ),
inference(rew,[status(thm),theory(equality)],[3652,1267]),
[iquote('5:Rew:3652.0,1267.1')] ).
cnf(3683,plain,
~ equal(op2(e23,e24),op2(e23,unit2)),
inference(rew,[status(thm),theory(equality)],[3652,363]),
[iquote('5:Rew:3652.0,363.0')] ).
cnf(3684,plain,
~ equal(op2(e23,e21),op2(e23,unit2)),
inference(rew,[status(thm),theory(equality)],[3652,360]),
[iquote('5:Rew:3652.0,360.0')] ).
cnf(3689,plain,
( ~ skC6
| ~ equal(op2(e22,unit2),e22) ),
inference(rew,[status(thm),theory(equality)],[3652,1290]),
[iquote('5:Rew:3652.0,1290.1')] ).
cnf(3703,plain,
( equal(op2(e21,e23),e23)
| equal(op2(e21,e24),e23)
| equal(op2(e21,unit2),e23) ),
inference(rew,[status(thm),theory(equality)],[3652,1461]),
[iquote('5:Rew:3652.0,1461.2')] ).
cnf(3712,plain,
~ equal(op2(e21,e23),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[3652,342]),
[iquote('5:Rew:3652.0,342.0')] ).
cnf(3733,plain,
~ equal(op2(e21,e23),op2(unit2,e23)),
inference(rew,[status(thm),theory(equality)],[3652,310]),
[iquote('5:Rew:3652.0,310.0')] ).
cnf(3735,plain,
~ equal(op2(unit2,e23),h4(e11)),
inference(rew,[status(thm),theory(equality)],[3652,1145]),
[iquote('5:Rew:3652.0,1145.0')] ).
cnf(3744,plain,
( equal(h4(e14),e21)
| equal(op2(e21,e24),e21)
| equal(op2(e22,e24),e21)
| equal(op2(unit2,e24),e21) ),
inference(rew,[status(thm),theory(equality)],[3652,1419]),
[iquote('5:Rew:3652.0,1419.3')] ).
cnf(3765,plain,
~ equal(op2(e21,e22),op2(unit2,e22)),
inference(rew,[status(thm),theory(equality)],[3652,300]),
[iquote('5:Rew:3652.0,300.0')] ).
cnf(3768,plain,
( ~ skC4
| ~ equal(unit2,unit2) ),
inference(rew,[status(thm),theory(equality)],[3652,1246]),
[iquote('5:Rew:3652.0,1246.1')] ).
cnf(3772,plain,
( equal(h4(e11),e20)
| equal(op2(unit2,e23),unit2)
| equal(op2(e22,e23),e20) ),
inference(rew,[status(thm),theory(equality)],[3652,1437]),
[iquote('5:Rew:3652.0,1437.1')] ).
cnf(3775,plain,
( equal(op2(e20,e22),e20)
| equal(op2(e24,e22),unit2) ),
inference(rew,[status(thm),theory(equality)],[3652,1451]),
[iquote('5:Rew:3652.0,1451.1')] ).
cnf(3780,plain,
( equal(op2(e23,e20),e20)
| equal(op2(e23,e24),unit2) ),
inference(rew,[status(thm),theory(equality)],[3652,1439]),
[iquote('5:Rew:3652.0,1439.1')] ).
cnf(3790,plain,
~ equal(e23,unit2),
inference(rew,[status(thm),theory(equality)],[3652,13]),
[iquote('5:Rew:3652.0,13.0')] ).
cnf(3791,plain,
~ equal(e22,unit2),
inference(rew,[status(thm),theory(equality)],[3652,12]),
[iquote('5:Rew:3652.0,12.0')] ).
cnf(3793,plain,
equal(op2(unit2,unit2),unit2),
inference(rew,[status(thm),theory(equality)],[3652,62]),
[iquote('5:Rew:3652.0,62.0')] ).
cnf(3795,plain,
equal(op2(e21,e21),unit2),
inference(rew,[status(thm),theory(equality)],[3652,1216]),
[iquote('5:Rew:3652.0,1216.0')] ).
cnf(3805,plain,
equal(op2(unit2,e21),h2(e11)),
inference(rew,[status(thm),theory(equality)],[3652,1222]),
[iquote('5:Rew:3652.0,1222.0')] ).
cnf(3806,plain,
( equal(h4(e11),e23)
| equal(h4(e11),e22)
| equal(h4(e11),e21)
| equal(h4(e11),unit2) ),
inference(rew,[status(thm),theory(equality)],[3652,1490]),
[iquote('5:Rew:3652.0,1490.3')] ).
cnf(3810,plain,
( equal(h4(e14),e24)
| equal(h4(e14),e23)
| equal(h4(e14),e22)
| equal(h4(e14),e21)
| equal(h4(e14),unit2) ),
inference(rew,[status(thm),theory(equality)],[3652,1488]),
[iquote('5:Rew:3652.0,1488.4')] ).
cnf(3823,plain,
( ~ equal(h5(unit1),unit2)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[3652,3411]),
[iquote('5:Rew:3652.0,3411.0')] ).
cnf(3835,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[3768]),
[iquote('5:Obv:3768.1')] ).
cnf(3836,plain,
( skC7
| skC6
| skC5
| equal(op2(e23,e24),e23) ),
inference(mrr,[status(thm)],[1395,3835]),
[iquote('5:MRR:1395.3,3835.0')] ).
cnf(3842,plain,
equal(h2(e11),e21),
inference(rew,[status(thm),theory(equality)],[63,3805]),
[iquote('5:Rew:63.0,3805.0')] ).
cnf(3846,plain,
( equal(e23,e21)
| equal(op2(e23,e21),e23)
| equal(op2(e24,e21),e23) ),
inference(rew,[status(thm),theory(equality)],[3842,1459]),
[iquote('5:Rew:3842.0,1459.0')] ).
cnf(3848,plain,
~ equal(op2(e22,e21),e21),
inference(rew,[status(thm),theory(equality)],[3842,1239]),
[iquote('5:Rew:3842.0,1239.0')] ).
cnf(3863,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e24) ),
inference(mrr,[status(thm)],[1498,3848]),
[iquote('5:MRR:1498.1,3848.0')] ).
cnf(3873,plain,
~ equal(h4(e14),e24),
inference(rew,[status(thm),theory(equality)],[70,3674]),
[iquote('5:Rew:70.0,3674.0')] ).
cnf(3879,plain,
~ equal(h4(e11),e23),
inference(rew,[status(thm),theory(equality)],[67,3735]),
[iquote('5:Rew:67.0,3735.0')] ).
cnf(3898,plain,
~ equal(op2(e24,e21),e24),
inference(rew,[status(thm),theory(equality)],[70,3672]),
[iquote('5:Rew:70.0,3672.0')] ).
cnf(3899,plain,
( ~ skC5
| ~ equal(h4(e14),e21) ),
inference(mrr,[status(thm)],[1298,3898]),
[iquote('5:MRR:1298.2,3898.0')] ).
cnf(3900,plain,
( ~ skC7
| ~ equal(e23,e23) ),
inference(rew,[status(thm),theory(equality)],[68,3678]),
[iquote('5:Rew:68.0,3678.1')] ).
cnf(3901,plain,
~ skC7,
inference(obv,[status(thm),theory(equality)],[3900]),
[iquote('5:Obv:3900.1')] ).
cnf(3903,plain,
~ equal(op2(e23,e24),e23),
inference(rew,[status(thm),theory(equality)],[68,3683]),
[iquote('5:Rew:68.0,3683.0')] ).
cnf(3904,plain,
~ equal(op2(e23,e21),e23),
inference(rew,[status(thm),theory(equality)],[68,3684]),
[iquote('5:Rew:68.0,3684.0')] ).
cnf(3905,plain,
equal(op2(e23,e21),e22),
inference(mrr,[status(thm)],[1494,3904]),
[iquote('5:MRR:1494.0,3904.0')] ).
cnf(3910,plain,
~ equal(op2(e22,e21),e22),
inference(rew,[status(thm),theory(equality)],[3905,297]),
[iquote('5:Rew:3905.0,297.0')] ).
cnf(3914,plain,
( ~ skC6
| ~ equal(e22,e22) ),
inference(rew,[status(thm),theory(equality)],[66,3689]),
[iquote('5:Rew:66.0,3689.1')] ).
cnf(3915,plain,
~ skC6,
inference(obv,[status(thm),theory(equality)],[3914]),
[iquote('5:Obv:3914.1')] ).
cnf(3924,plain,
~ equal(op2(e21,e23),e21),
inference(rew,[status(thm),theory(equality)],[64,3712]),
[iquote('5:Rew:64.0,3712.0')] ).
cnf(3925,plain,
( equal(op2(e21,e23),e23)
| equal(op2(e21,e23),e22) ),
inference(mrr,[status(thm)],[1501,3924]),
[iquote('5:MRR:1501.1,3924.0')] ).
cnf(3931,plain,
~ equal(op2(e21,e23),e23),
inference(rew,[status(thm),theory(equality)],[67,3733]),
[iquote('5:Rew:67.0,3733.0')] ).
cnf(3939,plain,
~ equal(op2(e21,e22),e22),
inference(rew,[status(thm),theory(equality)],[65,3765]),
[iquote('5:Rew:65.0,3765.0')] ).
cnf(3940,plain,
equal(op2(e21,e22),e24),
inference(mrr,[status(thm)],[1502,3939]),
[iquote('5:MRR:1502.0,3939.0')] ).
cnf(3948,plain,
skC5,
inference(mrr,[status(thm)],[3836,3901,3915,3903]),
[iquote('5:MRR:3836.0,3836.1,3836.3,3901.0,3915.0,3903.0')] ).
cnf(3952,plain,
~ equal(h4(e14),e21),
inference(mrr,[status(thm)],[3899,3948]),
[iquote('5:MRR:3899.0,3948.0')] ).
cnf(3953,plain,
( equal(e22,unit2)
| equal(op2(e24,e22),unit2) ),
inference(rew,[status(thm),theory(equality)],[65,3775,3652]),
[iquote('5:Rew:65.0,3775.0,3652.0,3775.0')] ).
cnf(3954,plain,
equal(op2(e24,e22),unit2),
inference(mrr,[status(thm)],[3953,3791]),
[iquote('5:MRR:3953.0,3791.0')] ).
cnf(3958,plain,
~ equal(h4(e11),unit2),
inference(rew,[status(thm),theory(equality)],[3954,1140]),
[iquote('5:Rew:3954.0,1140.0')] ).
cnf(3959,plain,
~ equal(h4(e14),unit2),
inference(rew,[status(thm),theory(equality)],[3954,1164]),
[iquote('5:Rew:3954.0,1164.0')] ).
cnf(3962,plain,
( equal(e23,unit2)
| equal(op2(e23,e24),unit2) ),
inference(rew,[status(thm),theory(equality)],[68,3780,3652]),
[iquote('5:Rew:68.0,3780.0,3652.0,3780.0')] ).
cnf(3963,plain,
equal(op2(e23,e24),unit2),
inference(mrr,[status(thm)],[3962,3790]),
[iquote('5:MRR:3962.0,3790.0')] ).
cnf(3972,plain,
equal(op2(e22,e21),e24),
inference(mrr,[status(thm)],[3863,3910]),
[iquote('5:MRR:3863.0,3910.0')] ).
cnf(3980,plain,
equal(op2(e21,e23),e22),
inference(mrr,[status(thm)],[3925,3931]),
[iquote('5:MRR:3925.0,3931.0')] ).
cnf(3984,plain,
~ equal(h4(e11),e22),
inference(rew,[status(thm),theory(equality)],[3980,1144]),
[iquote('5:Rew:3980.0,1144.0')] ).
cnf(3990,plain,
( equal(e23,e21)
| equal(e23,e22)
| equal(op2(e24,e21),e23) ),
inference(rew,[status(thm),theory(equality)],[3905,3846]),
[iquote('5:Rew:3905.0,3846.1')] ).
cnf(3991,plain,
equal(op2(e24,e21),e23),
inference(mrr,[status(thm)],[3990,16,18]),
[iquote('5:MRR:3990.0,3990.1,16.0,18.0')] ).
cnf(3993,plain,
~ equal(h4(e14),e23),
inference(rew,[status(thm),theory(equality)],[3991,1165]),
[iquote('5:Rew:3991.0,1165.0')] ).
cnf(3998,plain,
( equal(h4(e11),unit2)
| equal(e23,unit2)
| equal(op2(e22,e23),unit2) ),
inference(rew,[status(thm),theory(equality)],[3652,3772,67]),
[iquote('5:Rew:3652.0,3772.2,67.0,3772.1,3652.0,3772.0')] ).
cnf(3999,plain,
equal(op2(e22,e23),unit2),
inference(mrr,[status(thm)],[3998,3958,3790]),
[iquote('5:MRR:3998.0,3998.1,3958.0,3790.0')] ).
cnf(4006,plain,
( equal(e23,e22)
| equal(op2(e21,e24),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[64,3703,3980]),
[iquote('5:Rew:64.0,3703.2,3980.0,3703.0')] ).
cnf(4007,plain,
equal(op2(e21,e24),e23),
inference(mrr,[status(thm)],[4006,18,16]),
[iquote('5:MRR:4006.0,4006.2,18.0,16.0')] ).
cnf(4015,plain,
equal(h4(e11),e21),
inference(mrr,[status(thm)],[3806,3879,3984,3958]),
[iquote('5:MRR:3806.0,3806.1,3806.3,3879.0,3984.0,3958.0')] ).
cnf(4017,plain,
equal(op2(e24,e23),e21),
inference(rew,[status(thm),theory(equality)],[4015,1130]),
[iquote('5:Rew:4015.0,1130.0')] ).
cnf(4031,plain,
( equal(h4(e14),e21)
| equal(e23,e21)
| equal(op2(e22,e24),e21)
| equal(e24,e21) ),
inference(rew,[status(thm),theory(equality)],[69,3744,4007]),
[iquote('5:Rew:69.0,3744.3,4007.0,3744.1')] ).
cnf(4032,plain,
equal(op2(e22,e24),e21),
inference(mrr,[status(thm)],[4031,3952,16,17]),
[iquote('5:MRR:4031.0,4031.1,4031.3,3952.0,16.0,17.0')] ).
cnf(4042,plain,
equal(h4(e14),e22),
inference(mrr,[status(thm)],[3810,3873,3993,3952,3959]),
[iquote('5:MRR:3810.0,3810.1,3810.3,3810.4,3873.0,3993.0,3952.0,3959.0')] ).
cnf(4044,plain,
( ~ equal(e22,e22)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[4042,1160]),
[iquote('5:Rew:4042.0,1160.0')] ).
cnf(4046,plain,
equal(op2(e22,e24),h5(e11)),
inference(rew,[status(thm),theory(equality)],[4042,1163]),
[iquote('5:Rew:4042.0,1163.0')] ).
cnf(4047,plain,
equal(op2(e22,e22),h5(e14)),
inference(rew,[status(thm),theory(equality)],[4042,1172]),
[iquote('5:Rew:4042.0,1172.0')] ).
cnf(4049,plain,
( ~ skC27
| ~ skC26
| ~ skC25
| ~ skC24
| ~ equal(op2(e24,h5(e14)),h5(e11))
| ~ equal(op2(e24,h5(e11)),h5(e14))
| ~ equal(op2(e24,h5(unit1)),e24)
| ~ equal(op2(e24,e22),h5(unit1))
| ~ equal(op2(h5(e14),e24),h5(unit1))
| ~ equal(op2(h5(e11),e24),h5(e14))
| ~ equal(op2(h5(unit1),e24),e24)
| ~ equal(op2(h5(e14),h5(e14)),e24)
| ~ equal(op2(h5(unit1),h5(unit1)),h5(unit1))
| ~ equal(op2(h5(e14),h5(e11)),h4(e14))
| ~ equal(op2(h5(e14),h5(unit1)),h5(e14))
| ~ equal(op2(h5(e11),h5(e14)),h4(e14))
| ~ equal(op2(h5(e11),h5(unit1)),h5(e11))
| ~ equal(op2(h5(unit1),h5(e14)),h5(e14))
| ~ equal(op2(h5(unit1),h5(e11)),h5(e11))
| ~ equal(op2(h5(e14),h4(e14)),h5(e11))
| ~ equal(op2(h4(e14),h5(e14)),h5(unit1))
| ~ equal(op2(h4(e14),h5(e11)),e24)
| ~ equal(op2(h4(e14),h5(unit1)),h4(e14))
| ~ equal(op2(h5(e11),h4(e14)),e24)
| ~ equal(op2(h5(unit1),h4(e14)),h4(e14)) ),
inference(rew,[status(thm),theory(equality)],[4042,3646]),
[iquote('5:Rew:4042.0,3646.7')] ).
cnf(4054,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[4044]),
[iquote('5:Obv:4044.0')] ).
cnf(4056,plain,
equal(h5(e11),e21),
inference(rew,[status(thm),theory(equality)],[4032,4046]),
[iquote('5:Rew:4032.0,4046.0')] ).
cnf(4057,plain,
( ~ equal(e21,e21)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[4056,159]),
[iquote('5:Rew:4056.0,159.0')] ).
cnf(4059,plain,
equal(op2(e21,e21),h5(unit1)),
inference(rew,[status(thm),theory(equality)],[4056,3412]),
[iquote('5:Rew:4056.0,3412.0')] ).
cnf(4061,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[4057]),
[iquote('5:Obv:4057.0')] ).
cnf(4062,plain,
equal(h5(e14),e23),
inference(rew,[status(thm),theory(equality)],[72,4047]),
[iquote('5:Rew:72.0,4047.0')] ).
cnf(4063,plain,
( ~ equal(e23,e23)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[4062,172]),
[iquote('5:Rew:4062.0,172.0')] ).
cnf(4065,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[4063]),
[iquote('5:Obv:4063.0')] ).
cnf(4066,plain,
equal(h5(unit1),unit2),
inference(rew,[status(thm),theory(equality)],[3795,4059]),
[iquote('5:Rew:3795.0,4059.0')] ).
cnf(4067,plain,
( ~ equal(unit2,unit2)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[4066,3823]),
[iquote('5:Rew:4066.0,3823.0')] ).
cnf(4068,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[4067]),
[iquote('5:Obv:4067.0')] ).
cnf(4084,plain,
( ~ skC27
| ~ skC26
| ~ skC25
| ~ skC24
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e24,e24)
| ~ equal(unit2,unit2)
| ~ equal(unit2,unit2)
| ~ equal(e23,e23)
| ~ equal(e24,e24)
| ~ equal(e24,e24)
| ~ equal(unit2,unit2)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e21,e21)
| ~ equal(unit2,unit2)
| ~ equal(e24,e24)
| ~ equal(e22,e22)
| ~ equal(e24,e24)
| ~ equal(e22,e22) ),
inference(rew,[status(thm),theory(equality)],[65,4049,4066,4042,3940,4056,66,3972,3999,4062,1055,63,67,64,3980,68,3905,3793,1127,69,4007,3963,3954,70,3991,4017]),
[iquote('5:Rew:65.0,4049.24,4066.0,4049.24,4042.0,4049.24,3940.0,4049.23,4056.0,4049.23,4042.0,4049.23,66.0,4049.22,4066.0,4049.22,4042.0,4049.22,3972.0,4049.21,4042.0,4049.21,4056.0,4049.21,3999.0,4049.20,4042.0,4049.20,4062.0,4049.20,4066.0,4049.20,1055.0,4049.19,4062.0,4049.19,4042.0,4049.19,4056.0,4049.19,63.0,4049.18,4066.0,4049.18,4056.0,4049.18,67.0,4049.17,4066.0,4049.17,4062.0,4049.17,64.0,4049.16,4066.0,4049.16,4056.0,4049.16,3980.0,4049.15,4056.0,4049.15,4062.0,4049.15,4042.0,4049.15,68.0,4049.14,4066.0,4049.14,4062.0,4049.14,3905.0,4049.13,4062.0,4049.13,4056.0,4049.13,4042.0,4049.13,3793.0,4049.12,4066.0,4049.12,1127.0,4049.11,4062.0,4049.11,69.0,4049.10,4066.0,4049.10,4007.0,4049.9,4056.0,4049.9,4062.0,4049.9,3963.0,4049.8,4062.0,4049.8,4066.0,4049.8,3954.0,4049.7,4066.0,4049.7,70.0,4049.6,4066.0,4049.6,3991.0,4049.5,4056.0,4049.5,4062.0,4049.5,4017.0,4049.4,4062.0,4049.4,4056.0,4049.4')] ).
cnf(4085,plain,
( ~ skC27
| ~ skC26
| ~ skC25
| ~ skC24 ),
inference(obv,[status(thm),theory(equality)],[4084]),
[iquote('5:Obv:4084.24')] ).
cnf(4086,plain,
$false,
inference(mrr,[status(thm)],[4085,4065,4054,4061,4068]),
[iquote('5:MRR:4085.0,4085.1,4085.2,4085.3,4065.0,4054.0,4061.0,4068.0')] ).
cnf(4095,plain,
~ equal(e20,unit2),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[4086,3652]),
[iquote('5:Spt:4086.0,810.4,3652.0')] ).
cnf(4096,plain,
( equal(e24,unit2)
| equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[810]),
[iquote('5:Spt:4086.0,810.0,810.1,810.2,810.3')] ).
cnf(4097,plain,
equal(e24,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[4096]),
[iquote('6:Spt:4096.0')] ).
cnf(4098,plain,
~ equal(e23,unit2),
inference(rew,[status(thm),theory(equality)],[4097,20]),
[iquote('6:Rew:4097.0,20.0')] ).
cnf(4099,plain,
~ equal(e22,unit2),
inference(rew,[status(thm),theory(equality)],[4097,19]),
[iquote('6:Rew:4097.0,19.0')] ).
cnf(4100,plain,
~ equal(e21,unit2),
inference(rew,[status(thm),theory(equality)],[4097,17]),
[iquote('6:Rew:4097.0,17.0')] ).
cnf(4126,plain,
( equal(h2(e11),e23)
| equal(op2(e23,e21),e23)
| equal(op2(unit2,e21),e23) ),
inference(rew,[status(thm),theory(equality)],[4097,1459]),
[iquote('6:Rew:4097.0,1459.2')] ).
cnf(4136,plain,
( equal(op2(e21,e23),e23)
| equal(op2(e21,unit2),e23)
| equal(op2(e21,e20),e23) ),
inference(rew,[status(thm),theory(equality)],[4097,1461]),
[iquote('6:Rew:4097.0,1461.1')] ).
cnf(4142,plain,
~ equal(op2(e21,e23),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[4097,349]),
[iquote('6:Rew:4097.0,349.0')] ).
cnf(4156,plain,
~ equal(op2(e21,e22),op2(unit2,e22)),
inference(rew,[status(thm),theory(equality)],[4097,306]),
[iquote('6:Rew:4097.0,306.0')] ).
cnf(4172,plain,
~ equal(op2(e23,e21),op2(e23,unit2)),
inference(rew,[status(thm),theory(equality)],[4097,366]),
[iquote('6:Rew:4097.0,366.0')] ).
cnf(4182,plain,
equal(op2(unit2,e23),h4(e11)),
inference(rew,[status(thm),theory(equality)],[4097,1130]),
[iquote('6:Rew:4097.0,1130.0')] ).
cnf(4230,plain,
( equal(h1(e13),e21)
| equal(op2(e21,e20),e21)
| equal(op2(unit2,e20),e21)
| equal(op2(e22,e20),e21) ),
inference(rew,[status(thm),theory(equality)],[4097,1481]),
[iquote('6:Rew:4097.0,1481.2')] ).
cnf(4235,plain,
( equal(h1(e13),e22)
| equal(op2(e22,e20),e22)
| equal(op2(unit2,e20),e22)
| equal(op2(e23,e20),e22)
| equal(op2(e21,e20),e22) ),
inference(rew,[status(thm),theory(equality)],[4097,1478]),
[iquote('6:Rew:4097.0,1478.2')] ).
cnf(4245,plain,
( equal(op2(e21,e22),e22)
| equal(op2(e21,e22),unit2) ),
inference(rew,[status(thm),theory(equality)],[4097,1502]),
[iquote('6:Rew:4097.0,1502.1')] ).
cnf(4249,plain,
( equal(h2(e11),e24)
| equal(h1(e13),unit2)
| equal(op2(e20,e24),e24)
| equal(op2(e20,e22),e24) ),
inference(rew,[status(thm),theory(equality)],[4097,1473]),
[iquote('6:Rew:4097.0,1473.1')] ).
cnf(4277,plain,
equal(h4(e11),e23),
inference(rew,[status(thm),theory(equality)],[67,4182]),
[iquote('6:Rew:67.0,4182.0')] ).
cnf(4287,plain,
~ equal(op2(e21,e23),e23),
inference(rew,[status(thm),theory(equality)],[4277,1144]),
[iquote('6:Rew:4277.0,1144.0')] ).
cnf(4303,plain,
( equal(op2(e21,e23),e21)
| equal(op2(e21,e23),e22) ),
inference(mrr,[status(thm)],[1501,4287]),
[iquote('6:MRR:1501.0,4287.0')] ).
cnf(4347,plain,
~ equal(op2(e21,e23),e21),
inference(rew,[status(thm),theory(equality)],[64,4142]),
[iquote('6:Rew:64.0,4142.0')] ).
cnf(4349,plain,
~ equal(op2(e21,e22),e22),
inference(rew,[status(thm),theory(equality)],[65,4156]),
[iquote('6:Rew:65.0,4156.0')] ).
cnf(4353,plain,
~ equal(op2(e23,e21),e23),
inference(rew,[status(thm),theory(equality)],[68,4172]),
[iquote('6:Rew:68.0,4172.0')] ).
cnf(4354,plain,
equal(op2(e23,e21),e22),
inference(mrr,[status(thm)],[1494,4353]),
[iquote('6:MRR:1494.0,4353.0')] ).
cnf(4358,plain,
~ equal(op2(e23,e20),e22),
inference(rew,[status(thm),theory(equality)],[4354,360]),
[iquote('6:Rew:4354.0,360.0')] ).
cnf(4390,plain,
equal(op2(e21,e22),unit2),
inference(mrr,[status(thm)],[4245,4349]),
[iquote('6:MRR:4245.0,4349.0')] ).
cnf(4394,plain,
~ equal(op2(e20,e22),unit2),
inference(rew,[status(thm),theory(equality)],[4390,300]),
[iquote('6:Rew:4390.0,300.0')] ).
cnf(4398,plain,
equal(op2(e21,e23),e22),
inference(mrr,[status(thm)],[4303,4347]),
[iquote('6:MRR:4303.0,4347.0')] ).
cnf(4414,plain,
( equal(h2(e11),e23)
| equal(e23,e22)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[63,4126,4354]),
[iquote('6:Rew:63.0,4126.2,4354.0,4126.1')] ).
cnf(4415,plain,
equal(h2(e11),e23),
inference(mrr,[status(thm)],[4414,18,16]),
[iquote('6:MRR:4414.1,4414.2,18.0,16.0')] ).
cnf(4440,plain,
( equal(e23,e22)
| equal(e23,e21)
| equal(op2(e21,e20),e23) ),
inference(rew,[status(thm),theory(equality)],[64,4136,4398]),
[iquote('6:Rew:64.0,4136.1,4398.0,4136.0')] ).
cnf(4441,plain,
equal(op2(e21,e20),e23),
inference(mrr,[status(thm)],[4440,18,16]),
[iquote('6:MRR:4440.0,4440.1,18.0,16.0')] ).
cnf(4470,plain,
( equal(e23,unit2)
| equal(h1(e13),unit2)
| equal(e20,unit2)
| equal(op2(e20,e22),unit2) ),
inference(rew,[status(thm),theory(equality)],[4097,4249,62,4415]),
[iquote('6:Rew:4097.0,4249.3,62.0,4249.2,4097.0,4249.2,4415.0,4249.0,4097.0,4249.0')] ).
cnf(4471,plain,
equal(h1(e13),unit2),
inference(mrr,[status(thm)],[4470,4098,4095,4394]),
[iquote('6:MRR:4470.0,4470.2,4470.3,4098.0,4095.0,4394.0')] ).
cnf(4499,plain,
( equal(e21,unit2)
| equal(e23,e21)
| equal(e21,e20)
| equal(op2(e22,e20),e21) ),
inference(rew,[status(thm),theory(equality)],[61,4230,4441,4471]),
[iquote('6:Rew:61.0,4230.2,4441.0,4230.1,4471.0,4230.0')] ).
cnf(4500,plain,
equal(op2(e22,e20),e21),
inference(mrr,[status(thm)],[4499,4100,16,11]),
[iquote('6:MRR:4499.0,4499.1,4499.2,4100.0,16.0,11.0')] ).
cnf(4515,plain,
( equal(e22,unit2)
| equal(e22,e21)
| equal(e22,e20)
| equal(op2(e23,e20),e22)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[4441,4235,61,4500,4471]),
[iquote('6:Rew:4441.0,4235.4,61.0,4235.2,4500.0,4235.1,4471.0,4235.0')] ).
cnf(4516,plain,
$false,
inference(mrr,[status(thm)],[4515,4099,15,12,4358,18]),
[iquote('6:MRR:4515.0,4515.1,4515.2,4515.3,4515.4,4099.0,15.0,12.0,4358.0,18.0')] ).
cnf(4537,plain,
~ equal(e24,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[4516,4097]),
[iquote('6:Spt:4516.0,4096.0,4097.0')] ).
cnf(4538,plain,
( equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[4096]),
[iquote('6:Spt:4516.0,4096.1,4096.2,4096.3')] ).
cnf(4539,plain,
equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[4538]),
[iquote('7:Spt:4538.0')] ).
cnf(4559,plain,
( equal(h1(e13),e22)
| equal(op2(e22,e20),e22)
| equal(op2(e24,e20),e22)
| equal(op2(unit2,e20),e22)
| equal(op2(e21,e20),e22) ),
inference(rew,[status(thm),theory(equality)],[4539,1478]),
[iquote('7:Rew:4539.0,1478.3')] ).
cnf(4564,plain,
~ equal(op2(e22,e20),op2(unit2,e20)),
inference(rew,[status(thm),theory(equality)],[4539,287]),
[iquote('7:Rew:4539.0,287.0')] ).
cnf(4586,plain,
~ equal(op2(e22,e21),op2(e22,unit2)),
inference(rew,[status(thm),theory(equality)],[4539,355]),
[iquote('7:Rew:4539.0,355.0')] ).
cnf(4587,plain,
~ equal(op2(e22,e20),op2(e22,unit2)),
inference(rew,[status(thm),theory(equality)],[4539,352]),
[iquote('7:Rew:4539.0,352.0')] ).
cnf(4599,plain,
~ equal(op2(e21,e20),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[4539,342]),
[iquote('7:Rew:4539.0,342.0')] ).
cnf(4602,plain,
~ equal(op2(unit2,e24),h4(e14)),
inference(rew,[status(thm),theory(equality)],[4539,1167]),
[iquote('7:Rew:4539.0,1167.0')] ).
cnf(4620,plain,
( ~ skC5
| equal(op2(unit2,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[4539,1303]),
[iquote('7:Rew:4539.0,1303.1')] ).
cnf(4624,plain,
~ equal(op2(e22,e21),op2(unit2,e21)),
inference(rew,[status(thm),theory(equality)],[4539,297]),
[iquote('7:Rew:4539.0,297.0')] ).
cnf(4636,plain,
~ equal(op2(e20,e22),op2(e20,unit2)),
inference(rew,[status(thm),theory(equality)],[4539,337]),
[iquote('7:Rew:4539.0,337.0')] ).
cnf(4643,plain,
( ~ skC7
| ~ equal(unit2,unit2) ),
inference(rew,[status(thm),theory(equality)],[4539,1182]),
[iquote('7:Rew:4539.0,1182.1')] ).
cnf(4678,plain,
( skC7
| skC6
| skC5
| skC4
| equal(op2(unit2,e24),unit2) ),
inference(rew,[status(thm),theory(equality)],[4539,1395]),
[iquote('7:Rew:4539.0,1395.4')] ).
cnf(4706,plain,
~ skC7,
inference(obv,[status(thm),theory(equality)],[4643]),
[iquote('7:Obv:4643.1')] ).
cnf(4723,plain,
~ equal(h4(e14),e24),
inference(rew,[status(thm),theory(equality)],[69,4602]),
[iquote('7:Rew:69.0,4602.0')] ).
cnf(4725,plain,
( equal(op2(e24,e22),e24)
| equal(op2(e24,e21),e24)
| equal(op2(e24,e20),e24) ),
inference(mrr,[status(thm)],[1411,4723]),
[iquote('7:MRR:1411.0,4723.0')] ).
cnf(4726,plain,
( ~ skC5
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[63,4620]),
[iquote('7:Rew:63.0,4620.1')] ).
cnf(4727,plain,
~ skC5,
inference(mrr,[status(thm)],[4726,15]),
[iquote('7:MRR:4726.1,15.0')] ).
cnf(4737,plain,
~ equal(op2(e22,e20),e20),
inference(rew,[status(thm),theory(equality)],[61,4564]),
[iquote('7:Rew:61.0,4564.0')] ).
cnf(4738,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e24)
| equal(op2(e22,e20),e21) ),
inference(mrr,[status(thm)],[1499,4737]),
[iquote('7:MRR:1499.1,4737.0')] ).
cnf(4742,plain,
~ equal(op2(e22,e21),e22),
inference(rew,[status(thm),theory(equality)],[66,4586]),
[iquote('7:Rew:66.0,4586.0')] ).
cnf(4743,plain,
( equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e24) ),
inference(mrr,[status(thm)],[1498,4742]),
[iquote('7:MRR:1498.0,4742.0')] ).
cnf(4744,plain,
~ equal(op2(e22,e20),e22),
inference(rew,[status(thm),theory(equality)],[66,4587]),
[iquote('7:Rew:66.0,4587.0')] ).
cnf(4750,plain,
~ equal(op2(e21,e20),e21),
inference(rew,[status(thm),theory(equality)],[64,4599]),
[iquote('7:Rew:64.0,4599.0')] ).
cnf(4751,plain,
~ skC4,
inference(mrr,[status(thm)],[1323,4750]),
[iquote('7:MRR:1323.1,4750.0')] ).
cnf(4763,plain,
~ equal(op2(e22,e21),e21),
inference(rew,[status(thm),theory(equality)],[63,4624]),
[iquote('7:Rew:63.0,4624.0')] ).
cnf(4769,plain,
~ equal(op2(e20,e22),e20),
inference(rew,[status(thm),theory(equality)],[62,4636]),
[iquote('7:Rew:62.0,4636.0')] ).
cnf(4770,plain,
equal(op2(e24,e22),e20),
inference(mrr,[status(thm)],[1451,4769]),
[iquote('7:MRR:1451.0,4769.0')] ).
cnf(4771,plain,
( ~ skC6
| ~ equal(h1(e13),e22) ),
inference(mrr,[status(thm)],[1297,4769]),
[iquote('7:MRR:1297.2,4769.0')] ).
cnf(4784,plain,
( skC7
| skC6
| skC5
| skC4
| equal(e24,unit2) ),
inference(rew,[status(thm),theory(equality)],[69,4678]),
[iquote('7:Rew:69.0,4678.4')] ).
cnf(4785,plain,
skC6,
inference(mrr,[status(thm)],[4784,4706,4727,4751,4537]),
[iquote('7:MRR:4784.0,4784.2,4784.3,4784.4,4706.0,4727.0,4751.0,4537.0')] ).
cnf(4788,plain,
~ equal(op2(e21,e20),e22),
inference(mrr,[status(thm)],[1293,4785]),
[iquote('7:MRR:1293.0,4785.0')] ).
cnf(4791,plain,
~ equal(h1(e13),e22),
inference(mrr,[status(thm)],[4771,4785]),
[iquote('7:MRR:4771.0,4785.0')] ).
cnf(4795,plain,
equal(op2(e22,e21),e24),
inference(mrr,[status(thm)],[4743,4763]),
[iquote('7:MRR:4743.0,4763.0')] ).
cnf(4799,plain,
~ equal(op2(e24,e21),e24),
inference(rew,[status(thm),theory(equality)],[4795,298]),
[iquote('7:Rew:4795.0,298.0')] ).
cnf(4800,plain,
~ equal(op2(e22,e20),e24),
inference(rew,[status(thm),theory(equality)],[4795,350]),
[iquote('7:Rew:4795.0,350.0')] ).
cnf(4866,plain,
( equal(e24,e20)
| equal(op2(e24,e21),e24)
| equal(op2(e24,e20),e24) ),
inference(rew,[status(thm),theory(equality)],[4770,4725]),
[iquote('7:Rew:4770.0,4725.0')] ).
cnf(4867,plain,
equal(op2(e24,e20),e24),
inference(mrr,[status(thm)],[4866,14,4799]),
[iquote('7:MRR:4866.0,4866.1,14.0,4799.0')] ).
cnf(4926,plain,
equal(op2(e22,e20),e21),
inference(mrr,[status(thm)],[4738,4744,4800]),
[iquote('7:MRR:4738.0,4738.1,4744.0,4800.0')] ).
cnf(4970,plain,
( equal(h1(e13),e22)
| equal(e22,e21)
| equal(e24,e22)
| equal(e22,e20)
| equal(op2(e21,e20),e22) ),
inference(rew,[status(thm),theory(equality)],[61,4559,4867,4926]),
[iquote('7:Rew:61.0,4559.3,4867.0,4559.2,4926.0,4559.1')] ).
cnf(4971,plain,
$false,
inference(mrr,[status(thm)],[4970,4791,15,19,12,4788]),
[iquote('7:MRR:4970.0,4970.1,4970.2,4970.3,4970.4,4791.0,15.0,19.0,12.0,4788.0')] ).
cnf(4978,plain,
~ equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2sa)])],[4971,4539]),
[iquote('7:Spt:4971.0,4538.0,4539.0')] ).
cnf(4979,plain,
( equal(e22,unit2)
| equal(e21,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[4538]),
[iquote('7:Spt:4971.0,4538.1,4538.2')] ).
cnf(4980,plain,
equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s1)])],[4979]),
[iquote('8:Spt:4979.0')] ).
cnf(5000,plain,
~ equal(op2(e23,e20),op2(unit2,e20)),
inference(rew,[status(thm),theory(equality)],[4980,287]),
[iquote('8:Rew:4980.0,287.0')] ).
cnf(5022,plain,
( equal(h2(e11),e24)
| equal(op2(e24,e21),e24)
| equal(op2(unit2,e21),e24) ),
inference(rew,[status(thm),theory(equality)],[4980,1455]),
[iquote('8:Rew:4980.0,1455.2')] ).
cnf(5028,plain,
~ equal(op2(e20,e23),op2(unit2,e23)),
inference(rew,[status(thm),theory(equality)],[4980,311]),
[iquote('8:Rew:4980.0,311.0')] ).
cnf(5029,plain,
~ equal(op2(e21,e23),op2(unit2,e23)),
inference(rew,[status(thm),theory(equality)],[4980,314]),
[iquote('8:Rew:4980.0,314.0')] ).
cnf(5032,plain,
( equal(h4(e11),e21)
| equal(op2(e21,e23),e21)
| equal(op2(unit2,e23),e21)
| equal(op2(e20,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[4980,1435]),
[iquote('8:Rew:4980.0,1435.2')] ).
cnf(5035,plain,
( equal(h4(e11),e20)
| equal(op2(e20,e23),e20)
| equal(op2(unit2,e23),e20) ),
inference(rew,[status(thm),theory(equality)],[4980,1437]),
[iquote('8:Rew:4980.0,1437.2')] ).
cnf(5040,plain,
~ equal(op2(e21,e23),op2(e21,unit2)),
inference(rew,[status(thm),theory(equality)],[4980,347]),
[iquote('8:Rew:4980.0,347.0')] ).
cnf(5044,plain,
( equal(op2(e21,e24),e24)
| equal(op2(e21,unit2),e24)
| equal(op2(e21,e20),e24) ),
inference(rew,[status(thm),theory(equality)],[4980,1457]),
[iquote('8:Rew:4980.0,1457.1')] ).
cnf(5053,plain,
~ equal(op2(e24,e21),op2(e24,unit2)),
inference(rew,[status(thm),theory(equality)],[4980,374]),
[iquote('8:Rew:4980.0,374.0')] ).
cnf(5069,plain,
~ equal(op2(e21,e24),op2(unit2,e24)),
inference(rew,[status(thm),theory(equality)],[4980,324]),
[iquote('8:Rew:4980.0,324.0')] ).
cnf(5070,plain,
~ equal(op2(e20,e24),op2(unit2,e24)),
inference(rew,[status(thm),theory(equality)],[4980,321]),
[iquote('8:Rew:4980.0,321.0')] ).
cnf(5079,plain,
~ equal(op2(e20,e23),op2(e20,unit2)),
inference(rew,[status(thm),theory(equality)],[4980,337]),
[iquote('8:Rew:4980.0,337.0')] ).
cnf(5119,plain,
( ~ skC6
| ~ equal(unit2,unit2)
| ~ equal(op2(e20,e24),e22) ),
inference(rew,[status(thm),theory(equality)],[4980,546]),
[iquote('8:Rew:4980.0,546.1')] ).
cnf(5125,plain,
( ~ skC5
| equal(op2(e23,e21),unit2) ),
inference(rew,[status(thm),theory(equality)],[4980,1303]),
[iquote('8:Rew:4980.0,1303.1')] ).
cnf(5127,plain,
( ~ skC7
| equal(op2(unit2,e23),unit2) ),
inference(rew,[status(thm),theory(equality)],[4980,1269]),
[iquote('8:Rew:4980.0,1269.1')] ).
cnf(5146,plain,
( equal(op2(e20,e24),e24)
| equal(op2(e20,e24),e20)
| equal(op2(e20,e24),e23)
| equal(op2(e20,e24),unit2)
| equal(op2(e20,e24),e21) ),
inference(rew,[status(thm),theory(equality)],[4980,921]),
[iquote('8:Rew:4980.0,921.3')] ).
cnf(5178,plain,
( ~ skC7
| equal(e23,unit2) ),
inference(rew,[status(thm),theory(equality)],[67,5127]),
[iquote('8:Rew:67.0,5127.1')] ).
cnf(5179,plain,
~ skC7,
inference(mrr,[status(thm)],[5178,4978]),
[iquote('8:MRR:5178.1,4978.0')] ).
cnf(5180,plain,
( skC6
| skC5
| skC4
| equal(op2(e23,e24),e23) ),
inference(mrr,[status(thm)],[1395,5179]),
[iquote('8:MRR:1395.0,5179.0')] ).
cnf(5186,plain,
~ equal(op2(e23,e20),e20),
inference(rew,[status(thm),theory(equality)],[61,5000]),
[iquote('8:Rew:61.0,5000.0')] ).
cnf(5187,plain,
equal(op2(e23,e24),e20),
inference(mrr,[status(thm)],[1439,5186]),
[iquote('8:MRR:1439.0,5186.0')] ).
cnf(5192,plain,
( ~ skC4
| ~ equal(e20,e20) ),
inference(rew,[status(thm),theory(equality)],[5187,1317]),
[iquote('8:Rew:5187.0,1317.1')] ).
cnf(5195,plain,
~ equal(op2(e20,e24),e20),
inference(rew,[status(thm),theory(equality)],[5187,322]),
[iquote('8:Rew:5187.0,322.0')] ).
cnf(5197,plain,
( equal(e23,e20)
| equal(op2(e23,e21),e23)
| equal(op2(e23,e20),e23) ),
inference(rew,[status(thm),theory(equality)],[5187,1429]),
[iquote('8:Rew:5187.0,1429.0')] ).
cnf(5199,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[5192]),
[iquote('8:Obv:5192.1')] ).
cnf(5207,plain,
~ equal(op2(e20,e23),e23),
inference(rew,[status(thm),theory(equality)],[67,5028]),
[iquote('8:Rew:67.0,5028.0')] ).
cnf(5208,plain,
( equal(h2(e11),e23)
| equal(h1(e13),e23)
| equal(op2(e20,e24),e23) ),
inference(mrr,[status(thm)],[1477,5207]),
[iquote('8:MRR:1477.2,5207.0')] ).
cnf(5209,plain,
~ equal(op2(e21,e23),e23),
inference(rew,[status(thm),theory(equality)],[67,5029]),
[iquote('8:Rew:67.0,5029.0')] ).
cnf(5210,plain,
( equal(op2(e21,e24),e23)
| equal(op2(e21,e20),e23) ),
inference(mrr,[status(thm)],[1461,5209]),
[iquote('8:MRR:1461.0,5209.0')] ).
cnf(5214,plain,
~ equal(op2(e21,e23),e21),
inference(rew,[status(thm),theory(equality)],[64,5040]),
[iquote('8:Rew:64.0,5040.0')] ).
cnf(5219,plain,
~ equal(op2(e24,e21),e24),
inference(rew,[status(thm),theory(equality)],[70,5053]),
[iquote('8:Rew:70.0,5053.0')] ).
cnf(5226,plain,
~ equal(op2(e21,e24),e24),
inference(rew,[status(thm),theory(equality)],[69,5069]),
[iquote('8:Rew:69.0,5069.0')] ).
cnf(5227,plain,
~ equal(op2(e20,e24),e24),
inference(rew,[status(thm),theory(equality)],[69,5070]),
[iquote('8:Rew:69.0,5070.0')] ).
cnf(5228,plain,
~ equal(op2(e20,e23),e20),
inference(rew,[status(thm),theory(equality)],[62,5079]),
[iquote('8:Rew:62.0,5079.0')] ).
cnf(5236,plain,
( skC6
| skC5
| skC4
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[5187,5180]),
[iquote('8:Rew:5187.0,5180.3')] ).
cnf(5237,plain,
( skC6
| skC5 ),
inference(mrr,[status(thm)],[5236,5199,13]),
[iquote('8:MRR:5236.2,5236.3,5199.0,13.0')] ).
cnf(5255,plain,
( ~ skC6
| ~ equal(op2(e20,e24),e22) ),
inference(obv,[status(thm),theory(equality)],[5119]),
[iquote('8:Obv:5119.1')] ).
cnf(5256,plain,
( ~ skC6
| ~ equal(op2(e20,e24),unit2) ),
inference(rew,[status(thm),theory(equality)],[4980,5255]),
[iquote('8:Rew:4980.0,5255.1')] ).
cnf(5267,plain,
( equal(op2(e23,e21),e23)
| equal(op2(e23,e20),e23) ),
inference(mrr,[status(thm)],[5197,13]),
[iquote('8:MRR:5197.0,13.0')] ).
cnf(5268,plain,
( equal(h2(e11),e24)
| equal(op2(e24,e21),e24)
| equal(e24,e21) ),
inference(rew,[status(thm),theory(equality)],[63,5022]),
[iquote('8:Rew:63.0,5022.2')] ).
cnf(5269,plain,
equal(h2(e11),e24),
inference(mrr,[status(thm)],[5268,5219,17]),
[iquote('8:MRR:5268.1,5268.2,5219.0,17.0')] ).
cnf(5271,plain,
( equal(e24,e23)
| equal(h1(e13),e23)
| equal(op2(e20,e24),e23) ),
inference(rew,[status(thm),theory(equality)],[5269,5208]),
[iquote('8:Rew:5269.0,5208.0')] ).
cnf(5310,plain,
( equal(h1(e13),e23)
| equal(op2(e20,e24),e23) ),
inference(mrr,[status(thm)],[5271,20]),
[iquote('8:MRR:5271.0,20.0')] ).
cnf(5312,plain,
( equal(h4(e11),e20)
| equal(op2(e20,e23),e20)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[67,5035]),
[iquote('8:Rew:67.0,5035.2')] ).
cnf(5313,plain,
equal(h4(e11),e20),
inference(mrr,[status(thm)],[5312,5228,13]),
[iquote('8:MRR:5312.1,5312.2,5228.0,13.0')] ).
cnf(5340,plain,
( equal(op2(e21,e24),e24)
| equal(e24,e21)
| equal(op2(e21,e20),e24) ),
inference(rew,[status(thm),theory(equality)],[64,5044]),
[iquote('8:Rew:64.0,5044.1')] ).
cnf(5341,plain,
equal(op2(e21,e20),e24),
inference(mrr,[status(thm)],[5340,5226,17]),
[iquote('8:MRR:5340.0,5340.1,5226.0,17.0')] ).
cnf(5344,plain,
( equal(op2(e21,e24),e23)
| equal(e24,e23) ),
inference(rew,[status(thm),theory(equality)],[5341,5210]),
[iquote('8:Rew:5341.0,5210.1')] ).
cnf(5352,plain,
equal(op2(e21,e24),e23),
inference(mrr,[status(thm)],[5344,20]),
[iquote('8:MRR:5344.1,20.0')] ).
cnf(5355,plain,
~ equal(op2(e20,e24),e23),
inference(rew,[status(thm),theory(equality)],[5352,320]),
[iquote('8:Rew:5352.0,320.0')] ).
cnf(5361,plain,
equal(h1(e13),e23),
inference(mrr,[status(thm)],[5310,5355]),
[iquote('8:MRR:5310.1,5355.0')] ).
cnf(5364,plain,
equal(op2(e23,e20),h1(e11)),
inference(rew,[status(thm),theory(equality)],[5361,1064]),
[iquote('8:Rew:5361.0,1064.0')] ).
cnf(5376,plain,
~ equal(op2(e23,e20),e23),
inference(rew,[status(thm),theory(equality)],[5361,1108]),
[iquote('8:Rew:5361.0,1108.0')] ).
cnf(5390,plain,
( equal(op2(e23,e21),e23)
| equal(h1(e11),e23) ),
inference(rew,[status(thm),theory(equality)],[5364,5267]),
[iquote('8:Rew:5364.0,5267.1')] ).
cnf(5398,plain,
~ equal(h1(e11),e23),
inference(rew,[status(thm),theory(equality)],[5364,5376]),
[iquote('8:Rew:5364.0,5376.0')] ).
cnf(5399,plain,
equal(op2(e23,e21),e23),
inference(mrr,[status(thm)],[5390,5398]),
[iquote('8:MRR:5390.1,5398.0')] ).
cnf(5405,plain,
( ~ skC5
| equal(e23,unit2) ),
inference(rew,[status(thm),theory(equality)],[5399,5125]),
[iquote('8:Rew:5399.0,5125.1')] ).
cnf(5407,plain,
~ skC5,
inference(mrr,[status(thm)],[5405,4978]),
[iquote('8:MRR:5405.1,4978.0')] ).
cnf(5408,plain,
skC6,
inference(mrr,[status(thm)],[5237,5407]),
[iquote('8:MRR:5237.1,5407.0')] ).
cnf(5412,plain,
~ equal(op2(e20,e24),unit2),
inference(mrr,[status(thm)],[5256,5408]),
[iquote('8:MRR:5256.0,5408.0')] ).
cnf(5435,plain,
( equal(e21,e20)
| equal(op2(e21,e23),e21)
| equal(e23,e21)
| equal(op2(e20,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[67,5032,5313]),
[iquote('8:Rew:67.0,5032.2,5313.0,5032.0')] ).
cnf(5436,plain,
equal(op2(e20,e23),e21),
inference(mrr,[status(thm)],[5435,11,5214,16]),
[iquote('8:MRR:5435.0,5435.1,5435.2,11.0,5214.0,16.0')] ).
cnf(5439,plain,
~ equal(op2(e20,e24),e21),
inference(rew,[status(thm),theory(equality)],[5436,339]),
[iquote('8:Rew:5436.0,339.0')] ).
cnf(5467,plain,
$false,
inference(mrr,[status(thm)],[5146,5227,5195,5355,5412,5439]),
[iquote('8:MRR:5146.0,5146.1,5146.2,5146.3,5146.4,5227.0,5195.0,5355.0,5412.0,5439.0')] ).
cnf(5478,plain,
~ equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2sa)])],[5467,4980]),
[iquote('8:Spt:5467.0,4979.0,4980.0')] ).
cnf(5479,plain,
equal(e21,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2)])],[4979]),
[iquote('8:Spt:5467.0,4979.1')] ).
cnf(5757,plain,
( equal(e20,unit2)
| equal(e24,e20)
| equal(e23,e20)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[61,1503,5479]),
[iquote('8:Rew:61.0,1503.3,5479.0,1503.3,61.0,1503.2,5479.0,1503.2,61.0,1503.1,5479.0,1503.1,61.0,1503.0,5479.0,1503.0')] ).
cnf(5758,plain,
$false,
inference(mrr,[status(thm)],[5757,4095,14,13,12]),
[iquote('8:MRR:5757.0,5757.1,5757.2,5757.3,4095.0,14.0,13.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG051+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 15:38:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.99/1.19
% 0.99/1.19 SPASS V 3.9
% 0.99/1.19 SPASS beiseite: Proof found.
% 0.99/1.19 % SZS status Theorem
% 0.99/1.19 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/1.19 SPASS derived 2770 clauses, backtracked 2419 clauses, performed 8 splits and kept 4082 clauses.
% 0.99/1.19 SPASS allocated 89635 KBytes.
% 0.99/1.19 SPASS spent 0:00:00.84 on the problem.
% 0.99/1.19 0:00:00.04 for the input.
% 0.99/1.19 0:00:00.17 for the FLOTTER CNF translation.
% 0.99/1.19 0:00:00.00 for inferences.
% 0.99/1.19 0:00:00.01 for the backtracking.
% 0.99/1.19 0:00:00.55 for the reduction.
% 0.99/1.19
% 0.99/1.19
% 0.99/1.19 Here is a proof with depth 4, length 982 :
% 0.99/1.19 % SZS output start Refutation
% See solution above
% 1.03/1.21 Formulae used in the proof : ax9 ax10 ax20 ax2 ax5 ax14 ax15 co1 ax16 ax17 ax19 ax7 ax8 ax12 ax13 ax6 ax4 ax3 ax1
% 1.03/1.21
%------------------------------------------------------------------------------