TSTP Solution File: ALG058+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 18:02:09 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 157
% Syntax : Number of clauses : 516 ( 287 unt; 113 nHn; 516 RR)
% Number of literals : 1098 ( 0 equ; 428 neg)
% Maximal clause size : 25 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 29 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e1,e0),
file('ALG058+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e2,e0),
file('ALG058+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e3,e0),
file('ALG058+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e4,e0),
file('ALG058+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e2,e1),
file('ALG058+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e3,e1),
file('ALG058+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e4,e1),
file('ALG058+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e3,e2),
file('ALG058+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e4,e2),
file('ALG058+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e4,e3),
file('ALG058+1.p',unknown),
[] ).
cnf(11,axiom,
equal(op(unit,e0),e0),
file('ALG058+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,unit),e0),
file('ALG058+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(unit,e1),e1),
file('ALG058+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e1,unit),e1),
file('ALG058+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(unit,e2),e2),
file('ALG058+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e2,unit),e2),
file('ALG058+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(unit,e3),e3),
file('ALG058+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e3,unit),e3),
file('ALG058+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(unit,e4),e4),
file('ALG058+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e4,unit),e4),
file('ALG058+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e2,e2),e3),
file('ALG058+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ skC4
| equal(op(e0,e0),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ skC5
| equal(op(e0,e0),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ skC6
| equal(op(e2,e2),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ skC7
| equal(op(e3,e3),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ skC8
| equal(op(e0,e0),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ skC9
| equal(op(e0,e0),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ skC10
| equal(op(e1,e1),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ skC11
| equal(op(e2,e2),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ skC12
| equal(op(e3,e3),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ skC13
| equal(op(e1,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ skC14
| equal(op(e2,e2),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ skC15
| equal(op(e2,e2),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ skC16
| equal(op(e2,e2),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ skC17
| equal(op(e3,e3),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ skC18
| equal(op(e2,e2),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ skC19
| equal(op(e3,e3),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ skC20
| equal(op(e3,e3),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ skC21
| equal(op(e3,e3),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ skC22
| equal(op(e3,e3),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ skC23
| equal(op(e4,e4),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ skC24
| equal(op(e0,e0),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ skC25
| equal(op(e1,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ skC26
| equal(op(e2,e2),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ skC27
| equal(op(e4,e4),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(66,axiom,
equal(op(op(e2,e2),e2),e1),
file('ALG058+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ equal(op(e0,e0),e0)
| ~ skC4 ),
file('ALG058+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ equal(op(e1,e1),e1)
| ~ skC10 ),
file('ALG058+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ equal(op(e3,e3),e3)
| ~ skC22 ),
file('ALG058+1.p',unknown),
[] ).
cnf(92,axiom,
~ equal(op(e2,e0),op(e0,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(94,axiom,
~ equal(op(e4,e0),op(e0,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(96,axiom,
~ equal(op(e3,e0),op(e1,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(97,axiom,
~ equal(op(e4,e0),op(e1,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(98,axiom,
~ equal(op(e3,e0),op(e2,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(99,axiom,
~ equal(op(e4,e0),op(e2,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(100,axiom,
~ equal(op(e4,e0),op(e3,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(101,axiom,
~ equal(op(e1,e1),op(e0,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(102,axiom,
~ equal(op(e2,e1),op(e0,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(103,axiom,
~ equal(op(e3,e1),op(e0,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(105,axiom,
~ equal(op(e2,e1),op(e1,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(106,axiom,
~ equal(op(e3,e1),op(e1,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(107,axiom,
~ equal(op(e4,e1),op(e1,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(108,axiom,
~ equal(op(e3,e1),op(e2,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(110,axiom,
~ equal(op(e4,e1),op(e3,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(111,axiom,
~ equal(op(e1,e2),op(e0,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(112,axiom,
~ equal(op(e2,e2),op(e0,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(113,axiom,
~ equal(op(e3,e2),op(e0,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(114,axiom,
~ equal(op(e4,e2),op(e0,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(115,axiom,
~ equal(op(e2,e2),op(e1,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(120,axiom,
~ equal(op(e4,e2),op(e3,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(121,axiom,
~ equal(op(e1,e3),op(e0,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(123,axiom,
~ equal(op(e3,e3),op(e0,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(124,axiom,
~ equal(op(e4,e3),op(e0,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(125,axiom,
~ equal(op(e2,e3),op(e1,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(126,axiom,
~ equal(op(e3,e3),op(e1,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(127,axiom,
~ equal(op(e4,e3),op(e1,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(134,axiom,
~ equal(op(e4,e4),op(e0,e4)),
file('ALG058+1.p',unknown),
[] ).
cnf(135,axiom,
~ equal(op(e2,e4),op(e1,e4)),
file('ALG058+1.p',unknown),
[] ).
cnf(145,axiom,
~ equal(op(e0,e2),op(e0,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(148,axiom,
~ equal(op(e0,e3),op(e0,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(150,axiom,
~ equal(op(e0,e4),op(e0,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(153,axiom,
~ equal(op(e1,e3),op(e1,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(154,axiom,
~ equal(op(e1,e4),op(e1,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(155,axiom,
~ equal(op(e1,e2),op(e1,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(156,axiom,
~ equal(op(e1,e3),op(e1,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(158,axiom,
~ equal(op(e1,e3),op(e1,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(160,axiom,
~ equal(op(e1,e4),op(e1,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(161,axiom,
~ equal(op(e2,e1),op(e2,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(162,axiom,
~ equal(op(e2,e2),op(e2,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(163,axiom,
~ equal(op(e2,e3),op(e2,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(165,axiom,
~ equal(op(e2,e2),op(e2,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(166,axiom,
~ equal(op(e2,e3),op(e2,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(170,axiom,
~ equal(op(e2,e4),op(e2,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(171,axiom,
~ equal(op(e3,e1),op(e3,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(172,axiom,
~ equal(op(e3,e2),op(e3,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(173,axiom,
~ equal(op(e3,e3),op(e3,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(174,axiom,
~ equal(op(e3,e4),op(e3,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(175,axiom,
~ equal(op(e3,e2),op(e3,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(176,axiom,
~ equal(op(e3,e3),op(e3,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(177,axiom,
~ equal(op(e3,e4),op(e3,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(178,axiom,
~ equal(op(e3,e3),op(e3,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(181,axiom,
~ equal(op(e4,e1),op(e4,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(182,axiom,
~ equal(op(e4,e2),op(e4,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(184,axiom,
~ equal(op(e4,e4),op(e4,e0)),
file('ALG058+1.p',unknown),
[] ).
cnf(185,axiom,
~ equal(op(e4,e2),op(e4,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(186,axiom,
~ equal(op(e4,e3),op(e4,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(187,axiom,
~ equal(op(e4,e4),op(e4,e1)),
file('ALG058+1.p',unknown),
[] ).
cnf(189,axiom,
~ equal(op(e4,e4),op(e4,e2)),
file('ALG058+1.p',unknown),
[] ).
cnf(190,axiom,
~ equal(op(e4,e4),op(e4,e3)),
file('ALG058+1.p',unknown),
[] ).
cnf(191,axiom,
equal(op(op(e2,e2),op(e2,e2)),e4),
file('ALG058+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ equal(e0,unit)
| ~ equal(op(e1,e1),e0)
| ~ skC0 ),
file('ALG058+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ equal(e1,unit)
| ~ equal(op(e3,e2),e1)
| ~ skC1 ),
file('ALG058+1.p',unknown),
[] ).
cnf(279,axiom,
( ~ equal(e3,unit)
| ~ equal(op(e2,e2),e3)
| ~ skC3 ),
file('ALG058+1.p',unknown),
[] ).
cnf(296,axiom,
( ~ equal(op(e1,e1),e0)
| ~ skC0
| equal(op(e1,e0),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(307,axiom,
( ~ equal(op(e3,e4),e0)
| ~ skC0
| equal(op(e3,e0),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(312,axiom,
( ~ equal(op(e0,e0),e1)
| ~ skC1
| equal(op(e0,e1),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(314,axiom,
( ~ skC1
| ~ equal(op(e0,e3),e1)
| equal(op(e0,e1),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(319,axiom,
( ~ equal(op(e1,e4),e1)
| ~ skC1
| equal(op(e1,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(325,axiom,
( ~ equal(op(e3,e2),e1)
| ~ skC1
| equal(op(e3,e1),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(328,axiom,
( ~ equal(op(e4,e0),e1)
| ~ skC1
| equal(op(e4,e1),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(338,axiom,
( ~ equal(op(e1,e3),e2)
| ~ skC2
| equal(op(e1,e2),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(340,axiom,
( ~ equal(op(e2,e0),e2)
| ~ skC2
| equal(op(e2,e2),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(341,axiom,
( ~ equal(op(e2,e1),e2)
| ~ skC2
| equal(op(e2,e2),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(343,axiom,
( ~ equal(op(e2,e4),e2)
| ~ skC2
| equal(op(e2,e2),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(349,axiom,
( ~ equal(op(e4,e1),e2)
| ~ skC2
| equal(op(e4,e2),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(351,axiom,
( ~ skC2
| ~ equal(op(e4,e4),e2)
| equal(op(e4,e2),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(362,axiom,
( ~ equal(op(e2,e2),e3)
| ~ skC3
| equal(op(e2,e3),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(364,axiom,
( ~ equal(op(e3,e0),e3)
| ~ skC3
| equal(op(e3,e3),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(372,axiom,
equal(op(op(op(e2,e2),e2),op(op(e2,e2),e2)),e0),
file('ALG058+1.p',unknown),
[] ).
cnf(400,axiom,
( ~ equal(op(e0,e2),e4)
| skC3
| skC2
| skC1
| skC0
| equal(op(e0,e4),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(406,axiom,
( ~ equal(op(e2,e0),e4)
| skC3
| skC2
| skC1
| skC0
| equal(op(e2,e4),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(413,axiom,
( ~ equal(op(e3,e3),e4)
| equal(op(e3,e4),e3)
| skC0
| skC1
| skC2
| skC3 ),
file('ALG058+1.p',unknown),
[] ).
cnf(415,axiom,
( ~ equal(op(e4,e1),e4)
| skC3
| skC2
| skC1
| skC0
| equal(op(e4,e4),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(418,axiom,
( equal(e4,unit)
| equal(e3,unit)
| equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
file('ALG058+1.p',unknown),
[] ).
cnf(423,axiom,
( equal(op(e4,e4),e2)
| equal(op(e2,e4),e2)
| equal(op(e3,e4),e2)
| equal(op(e1,e4),e2)
| equal(op(e0,e4),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(438,axiom,
( equal(op(e3,e0),e0)
| equal(op(e3,e1),e0)
| equal(op(e3,e2),e0)
| equal(op(e3,e3),e0)
| equal(op(e3,e4),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(447,axiom,
( equal(op(e0,e2),e0)
| equal(op(e1,e2),e0)
| equal(op(e2,e2),e0)
| equal(op(e3,e2),e0)
| equal(op(e4,e2),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(449,axiom,
( equal(op(e0,e1),e4)
| equal(op(e1,e1),e4)
| equal(op(e2,e1),e4)
| equal(op(e3,e1),e4)
| equal(op(e4,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(450,axiom,
( equal(op(e1,e0),e4)
| equal(op(e1,e1),e4)
| equal(op(e1,e2),e4)
| equal(op(e1,e3),e4)
| equal(op(e1,e4),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(451,axiom,
( equal(op(e0,e1),e3)
| equal(op(e1,e1),e3)
| equal(op(e2,e1),e3)
| equal(op(e3,e1),e3)
| equal(op(e4,e1),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(452,axiom,
( equal(op(e1,e0),e3)
| equal(op(e1,e1),e3)
| equal(op(e1,e2),e3)
| equal(op(e1,e3),e3)
| equal(op(e1,e4),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(459,axiom,
( equal(op(e0,e0),e4)
| equal(op(e1,e0),e4)
| equal(op(e2,e0),e4)
| equal(op(e3,e0),e4)
| equal(op(e4,e0),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(462,axiom,
( equal(op(e0,e0),e3)
| equal(op(e0,e1),e3)
| equal(op(e0,e2),e3)
| equal(op(e0,e3),e3)
| equal(op(e0,e4),e3) ),
file('ALG058+1.p',unknown),
[] ).
cnf(464,axiom,
( equal(op(e0,e2),e2)
| equal(op(e0,e0),e2)
| equal(op(e0,e4),e2)
| equal(op(e0,e3),e2)
| equal(op(e0,e1),e2) ),
file('ALG058+1.p',unknown),
[] ).
cnf(466,axiom,
( equal(op(e0,e0),e1)
| equal(op(e0,e1),e1)
| equal(op(e0,e2),e1)
| equal(op(e0,e3),e1)
| equal(op(e0,e4),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(469,axiom,
( equal(op(e4,e4),e4)
| equal(op(e4,e4),e3)
| equal(op(e4,e4),e2)
| equal(op(e4,e4),e1)
| equal(op(e4,e4),e0) ),
file('ALG058+1.p',unknown),
[] ).
cnf(472,axiom,
( equal(op(e4,e1),e0)
| equal(op(e4,e1),e1)
| equal(op(e4,e1),e2)
| equal(op(e4,e1),e3)
| equal(op(e4,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(473,axiom,
( equal(op(e4,e0),e4)
| equal(op(e4,e0),e0)
| equal(op(e4,e0),e3)
| equal(op(e4,e0),e2)
| equal(op(e4,e0),e1) ),
file('ALG058+1.p',unknown),
[] ).
cnf(477,axiom,
( equal(op(e3,e1),e0)
| equal(op(e3,e1),e1)
| equal(op(e3,e1),e2)
| equal(op(e3,e1),e3)
| equal(op(e3,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(478,axiom,
( equal(op(e3,e0),e0)
| equal(op(e3,e0),e1)
| equal(op(e3,e0),e2)
| equal(op(e3,e0),e3)
| equal(op(e3,e0),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(482,axiom,
( equal(op(e2,e1),e0)
| equal(op(e2,e1),e1)
| equal(op(e2,e1),e2)
| equal(op(e2,e1),e3)
| equal(op(e2,e1),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(483,axiom,
( equal(op(e2,e0),e0)
| equal(op(e2,e0),e1)
| equal(op(e2,e0),e2)
| equal(op(e2,e0),e3)
| equal(op(e2,e0),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(485,axiom,
( equal(op(e1,e3),e0)
| equal(op(e1,e3),e1)
| equal(op(e1,e3),e2)
| equal(op(e1,e3),e3)
| equal(op(e1,e3),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(490,axiom,
( equal(op(e0,e3),e0)
| equal(op(e0,e3),e1)
| equal(op(e0,e3),e2)
| equal(op(e0,e3),e3)
| equal(op(e0,e3),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(491,axiom,
( equal(op(e0,e2),e0)
| equal(op(e0,e2),e1)
| equal(op(e0,e2),e2)
| equal(op(e0,e2),e3)
| equal(op(e0,e2),e4) ),
file('ALG058+1.p',unknown),
[] ).
cnf(494,axiom,
( equal(op(e4,e4),e4)
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27 ),
file('ALG058+1.p',unknown),
[] ).
cnf(495,axiom,
( ~ equal(op(e4,e4),e4)
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27 ),
file('ALG058+1.p',unknown),
[] ).
cnf(496,plain,
equal(op(e3,e2),e1),
inference(rew,[status(thm),theory(equality)],[21,66]),
[iquote('0:Rew:21.0,66.0')] ).
cnf(497,plain,
( ~ skC26
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[21,63]),
[iquote('0:Rew:21.0,63.1')] ).
cnf(498,plain,
~ skC26,
inference(mrr,[status(thm)],[497,10]),
[iquote('0:MRR:497.1,10.0')] ).
cnf(499,plain,
( ~ skC18
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[21,47]),
[iquote('0:Rew:21.0,47.1')] ).
cnf(500,plain,
~ skC18,
inference(mrr,[status(thm)],[499,10]),
[iquote('0:MRR:499.1,10.0')] ).
cnf(501,plain,
( ~ skC16
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[21,44]),
[iquote('0:Rew:21.0,44.1')] ).
cnf(502,plain,
~ skC16,
inference(mrr,[status(thm)],[501,8]),
[iquote('0:MRR:501.1,8.0')] ).
cnf(503,plain,
( ~ skC15
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[21,42]),
[iquote('0:Rew:21.0,42.1')] ).
cnf(504,plain,
~ skC15,
inference(mrr,[status(thm)],[503,6]),
[iquote('0:MRR:503.1,6.0')] ).
cnf(505,plain,
( ~ skC14
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[21,40]),
[iquote('0:Rew:21.0,40.1')] ).
cnf(506,plain,
~ skC14,
inference(mrr,[status(thm)],[505,3]),
[iquote('0:MRR:505.1,3.0')] ).
cnf(507,plain,
( ~ skC11
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[21,35]),
[iquote('0:Rew:21.0,35.1')] ).
cnf(508,plain,
~ skC11,
inference(mrr,[status(thm)],[507,6]),
[iquote('0:MRR:507.1,6.0')] ).
cnf(509,plain,
( ~ skC6
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[21,26]),
[iquote('0:Rew:21.0,26.1')] ).
cnf(510,plain,
~ skC6,
inference(mrr,[status(thm)],[509,3]),
[iquote('0:MRR:509.1,3.0')] ).
cnf(512,plain,
~ equal(op(e3,e3),e1),
inference(rew,[status(thm),theory(equality)],[496,178]),
[iquote('0:Rew:496.0,178.0')] ).
cnf(513,plain,
~ skC20,
inference(mrr,[status(thm)],[51,512]),
[iquote('0:MRR:51.1,512.0')] ).
cnf(514,plain,
~ skC12,
inference(mrr,[status(thm)],[37,512]),
[iquote('0:MRR:37.1,512.0')] ).
cnf(515,plain,
~ equal(op(e3,e1),e1),
inference(rew,[status(thm),theory(equality)],[496,175]),
[iquote('0:Rew:496.0,175.0')] ).
cnf(516,plain,
~ equal(op(e3,e0),e1),
inference(rew,[status(thm),theory(equality)],[496,172]),
[iquote('0:Rew:496.0,172.0')] ).
cnf(519,plain,
~ equal(op(e2,e1),e3),
inference(rew,[status(thm),theory(equality)],[21,165]),
[iquote('0:Rew:21.0,165.0')] ).
cnf(520,plain,
~ equal(op(e2,e0),e3),
inference(rew,[status(thm),theory(equality)],[21,162]),
[iquote('0:Rew:21.0,162.0')] ).
cnf(521,plain,
~ equal(op(e4,e2),e1),
inference(rew,[status(thm),theory(equality)],[496,120]),
[iquote('0:Rew:496.0,120.0')] ).
cnf(525,plain,
~ equal(op(e1,e2),e3),
inference(rew,[status(thm),theory(equality)],[21,115]),
[iquote('0:Rew:21.0,115.0')] ).
cnf(526,plain,
~ equal(op(e0,e2),e1),
inference(rew,[status(thm),theory(equality)],[496,113]),
[iquote('0:Rew:496.0,113.0')] ).
cnf(527,plain,
~ equal(op(e0,e2),e3),
inference(rew,[status(thm),theory(equality)],[21,112]),
[iquote('0:Rew:21.0,112.0')] ).
cnf(528,plain,
( ~ equal(e3,e3)
| ~ skC22 ),
inference(rew,[status(thm),theory(equality)],[55,85]),
[iquote('0:Rew:55.1,85.0')] ).
cnf(529,plain,
~ skC22,
inference(obv,[status(thm),theory(equality)],[528]),
[iquote('0:Obv:528.0')] ).
cnf(531,plain,
( ~ equal(e1,e1)
| ~ skC10 ),
inference(rew,[status(thm),theory(equality)],[33,73]),
[iquote('0:Rew:33.1,73.0')] ).
cnf(532,plain,
~ skC10,
inference(obv,[status(thm),theory(equality)],[531]),
[iquote('0:Obv:531.0')] ).
cnf(533,plain,
( ~ equal(e0,e0)
| ~ skC4 ),
inference(rew,[status(thm),theory(equality)],[22,67]),
[iquote('0:Rew:22.1,67.0')] ).
cnf(534,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[533]),
[iquote('0:Obv:533.0')] ).
cnf(535,plain,
equal(op(e3,e3),e4),
inference(rew,[status(thm),theory(equality)],[21,191]),
[iquote('0:Rew:21.0,191.0')] ).
cnf(536,plain,
( ~ skC17
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[535,46]),
[iquote('0:Rew:535.0,46.1')] ).
cnf(537,plain,
( ~ skC21
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[535,53]),
[iquote('0:Rew:535.0,53.1')] ).
cnf(538,plain,
( ~ skC7
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[535,28]),
[iquote('0:Rew:535.0,28.1')] ).
cnf(539,plain,
( ~ skC19
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[535,49]),
[iquote('0:Rew:535.0,49.1')] ).
cnf(542,plain,
~ equal(op(e3,e1),e4),
inference(rew,[status(thm),theory(equality)],[535,176]),
[iquote('0:Rew:535.0,176.0')] ).
cnf(543,plain,
~ equal(op(e3,e0),e4),
inference(rew,[status(thm),theory(equality)],[535,173]),
[iquote('0:Rew:535.0,173.0')] ).
cnf(546,plain,
~ equal(op(e1,e3),e4),
inference(rew,[status(thm),theory(equality)],[535,126]),
[iquote('0:Rew:535.0,126.0')] ).
cnf(547,plain,
~ equal(op(e0,e3),e4),
inference(rew,[status(thm),theory(equality)],[535,123]),
[iquote('0:Rew:535.0,123.0')] ).
cnf(548,plain,
~ skC17,
inference(mrr,[status(thm)],[536,9]),
[iquote('0:MRR:536.1,9.0')] ).
cnf(549,plain,
~ skC21,
inference(mrr,[status(thm)],[537,9]),
[iquote('0:MRR:537.1,9.0')] ).
cnf(550,plain,
~ skC7,
inference(mrr,[status(thm)],[538,4]),
[iquote('0:MRR:538.1,4.0')] ).
cnf(551,plain,
~ skC19,
inference(mrr,[status(thm)],[539,4]),
[iquote('0:MRR:539.1,4.0')] ).
cnf(554,plain,
( ~ equal(e3,unit)
| ~ equal(e3,e3)
| ~ skC3 ),
inference(rew,[status(thm),theory(equality)],[21,279]),
[iquote('0:Rew:21.0,279.1')] ).
cnf(555,plain,
( ~ skC3
| ~ equal(e3,unit) ),
inference(obv,[status(thm),theory(equality)],[554]),
[iquote('0:Obv:554.1')] ).
cnf(560,plain,
( ~ equal(e1,unit)
| ~ equal(e1,e1)
| ~ skC1 ),
inference(rew,[status(thm),theory(equality)],[496,234]),
[iquote('0:Rew:496.0,234.1')] ).
cnf(561,plain,
( ~ skC1
| ~ equal(e1,unit) ),
inference(obv,[status(thm),theory(equality)],[560]),
[iquote('0:Obv:560.1')] ).
cnf(565,plain,
equal(op(e1,e1),e0),
inference(rew,[status(thm),theory(equality)],[496,372,21]),
[iquote('0:Rew:496.0,372.0,21.0,372.0')] ).
cnf(566,plain,
( ~ skC13
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[565,38]),
[iquote('0:Rew:565.0,38.1')] ).
cnf(567,plain,
( ~ skC25
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[565,61]),
[iquote('0:Rew:565.0,61.1')] ).
cnf(568,plain,
( ~ equal(e0,unit)
| ~ equal(e0,e0)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[565,198]),
[iquote('0:Rew:565.0,198.1')] ).
cnf(570,plain,
~ equal(op(e1,e3),e0),
inference(rew,[status(thm),theory(equality)],[565,156]),
[iquote('0:Rew:565.0,156.0')] ).
cnf(571,plain,
~ equal(op(e1,e2),e0),
inference(rew,[status(thm),theory(equality)],[565,155]),
[iquote('0:Rew:565.0,155.0')] ).
cnf(573,plain,
~ equal(op(e4,e1),e0),
inference(rew,[status(thm),theory(equality)],[565,107]),
[iquote('0:Rew:565.0,107.0')] ).
cnf(574,plain,
~ equal(op(e3,e1),e0),
inference(rew,[status(thm),theory(equality)],[565,106]),
[iquote('0:Rew:565.0,106.0')] ).
cnf(575,plain,
~ equal(op(e2,e1),e0),
inference(rew,[status(thm),theory(equality)],[565,105]),
[iquote('0:Rew:565.0,105.0')] ).
cnf(576,plain,
~ equal(op(e0,e1),e0),
inference(rew,[status(thm),theory(equality)],[565,101]),
[iquote('0:Rew:565.0,101.0')] ).
cnf(578,plain,
~ skC13,
inference(mrr,[status(thm)],[566,4]),
[iquote('0:MRR:566.1,4.0')] ).
cnf(579,plain,
~ skC25,
inference(mrr,[status(thm)],[567,4]),
[iquote('0:MRR:567.1,4.0')] ).
cnf(580,plain,
( ~ skC0
| ~ equal(e0,unit) ),
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.1')] ).
cnf(585,plain,
( ~ equal(op(e3,e0),e3)
| ~ skC3
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[535,364]),
[iquote('0:Rew:535.0,364.2')] ).
cnf(586,plain,
( ~ skC3
| ~ equal(op(e3,e0),e3) ),
inference(mrr,[status(thm)],[585,4]),
[iquote('0:MRR:585.2,4.0')] ).
cnf(587,plain,
( ~ equal(e3,e3)
| ~ skC3
| equal(op(e2,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[21,362]),
[iquote('0:Rew:21.0,362.0')] ).
cnf(588,plain,
( ~ skC3
| equal(op(e2,e3),e2) ),
inference(obv,[status(thm),theory(equality)],[587]),
[iquote('0:Obv:587.0')] ).
cnf(594,plain,
( ~ skC2
| ~ equal(op(e4,e1),e2) ),
inference(mrr,[status(thm)],[349,521]),
[iquote('0:MRR:349.2,521.0')] ).
cnf(600,plain,
( ~ equal(op(e2,e4),e2)
| ~ skC2
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[21,343]),
[iquote('0:Rew:21.0,343.2')] ).
cnf(601,plain,
( ~ skC2
| ~ equal(op(e2,e4),e2) ),
inference(mrr,[status(thm)],[600,10]),
[iquote('0:MRR:600.2,10.0')] ).
cnf(602,plain,
( ~ equal(op(e2,e1),e2)
| ~ skC2
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[21,341]),
[iquote('0:Rew:21.0,341.2')] ).
cnf(603,plain,
( ~ skC2
| ~ equal(op(e2,e1),e2) ),
inference(mrr,[status(thm)],[602,6]),
[iquote('0:MRR:602.2,6.0')] ).
cnf(604,plain,
( ~ equal(op(e2,e0),e2)
| ~ skC2
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[21,340]),
[iquote('0:Rew:21.0,340.2')] ).
cnf(605,plain,
( ~ skC2
| ~ equal(op(e2,e0),e2) ),
inference(mrr,[status(thm)],[604,3]),
[iquote('0:MRR:604.2,3.0')] ).
cnf(606,plain,
( ~ skC2
| ~ equal(op(e1,e3),e2) ),
inference(mrr,[status(thm)],[338,525]),
[iquote('0:MRR:338.2,525.0')] ).
cnf(611,plain,
( ~ skC1
| ~ equal(op(e4,e0),e1) ),
inference(mrr,[status(thm)],[328,573]),
[iquote('0:MRR:328.2,573.0')] ).
cnf(613,plain,
( ~ equal(e1,e1)
| ~ skC1
| equal(op(e3,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[496,325]),
[iquote('0:Rew:496.0,325.0')] ).
cnf(614,plain,
( ~ skC1
| equal(op(e3,e1),e2) ),
inference(obv,[status(thm),theory(equality)],[613]),
[iquote('0:Obv:613.0')] ).
cnf(618,plain,
( ~ equal(op(e1,e4),e1)
| ~ skC1
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[565,319]),
[iquote('0:Rew:565.0,319.2')] ).
cnf(619,plain,
( ~ skC1
| ~ equal(op(e1,e4),e1) ),
inference(mrr,[status(thm)],[618,4]),
[iquote('0:MRR:618.2,4.0')] ).
cnf(622,plain,
( ~ skC1
| ~ equal(op(e0,e0),e1) ),
inference(mrr,[status(thm)],[312,576]),
[iquote('0:MRR:312.2,576.0')] ).
cnf(623,plain,
( ~ skC0
| ~ equal(op(e3,e4),e0) ),
inference(mrr,[status(thm)],[307,543]),
[iquote('0:MRR:307.2,543.0')] ).
cnf(628,plain,
( ~ equal(e0,e0)
| ~ skC0
| equal(op(e1,e0),e1) ),
inference(rew,[status(thm),theory(equality)],[565,296]),
[iquote('0:Rew:565.0,296.0')] ).
cnf(629,plain,
( ~ skC0
| equal(op(e1,e0),e1) ),
inference(obv,[status(thm),theory(equality)],[628]),
[iquote('0:Obv:628.0')] ).
cnf(632,plain,
( ~ equal(e4,e4)
| equal(op(e3,e4),e3)
| skC0
| skC1
| skC2
| skC3 ),
inference(rew,[status(thm),theory(equality)],[535,413]),
[iquote('0:Rew:535.0,413.0')] ).
cnf(633,plain,
( skC3
| skC2
| skC1
| skC0
| equal(op(e3,e4),e3) ),
inference(obv,[status(thm),theory(equality)],[632]),
[iquote('0:Obv:632.0')] ).
cnf(658,plain,
( equal(op(e3,e0),e0)
| equal(op(e3,e1),e0)
| equal(e1,e0)
| equal(e4,e0)
| equal(op(e3,e4),e0) ),
inference(rew,[status(thm),theory(equality)],[535,438,496]),
[iquote('0:Rew:535.0,438.3,496.0,438.2')] ).
cnf(659,plain,
( equal(op(e3,e0),e0)
| equal(op(e3,e4),e0) ),
inference(mrr,[status(thm)],[658,574,1,4]),
[iquote('0:MRR:658.1,658.2,658.3,574.0,1.0,4.0')] ).
cnf(670,plain,
( equal(op(e0,e2),e0)
| equal(op(e1,e2),e0)
| equal(e3,e0)
| equal(e1,e0)
| equal(op(e4,e2),e0) ),
inference(rew,[status(thm),theory(equality)],[496,447,21]),
[iquote('0:Rew:496.0,447.3,21.0,447.2')] ).
cnf(671,plain,
( equal(op(e0,e2),e0)
| equal(op(e4,e2),e0) ),
inference(mrr,[status(thm)],[670,571,3,1]),
[iquote('0:MRR:670.1,670.2,670.3,571.0,3.0,1.0')] ).
cnf(674,plain,
( equal(op(e0,e1),e4)
| equal(e4,e0)
| equal(op(e2,e1),e4)
| equal(op(e3,e1),e4)
| equal(op(e4,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[565,449]),
[iquote('0:Rew:565.0,449.1')] ).
cnf(675,plain,
( equal(op(e4,e1),e4)
| equal(op(e2,e1),e4)
| equal(op(e0,e1),e4) ),
inference(mrr,[status(thm)],[674,4,542]),
[iquote('0:MRR:674.1,674.3,4.0,542.0')] ).
cnf(676,plain,
( equal(op(e1,e0),e4)
| equal(e4,e0)
| equal(op(e1,e2),e4)
| equal(op(e1,e3),e4)
| equal(op(e1,e4),e4) ),
inference(rew,[status(thm),theory(equality)],[565,450]),
[iquote('0:Rew:565.0,450.1')] ).
cnf(677,plain,
( equal(op(e1,e4),e4)
| equal(op(e1,e2),e4)
| equal(op(e1,e0),e4) ),
inference(mrr,[status(thm)],[676,4,546]),
[iquote('0:MRR:676.1,676.3,4.0,546.0')] ).
cnf(678,plain,
( equal(op(e0,e1),e3)
| equal(e3,e0)
| equal(op(e2,e1),e3)
| equal(op(e3,e1),e3)
| equal(op(e4,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[565,451]),
[iquote('0:Rew:565.0,451.1')] ).
cnf(679,plain,
( equal(op(e3,e1),e3)
| equal(op(e4,e1),e3)
| equal(op(e0,e1),e3) ),
inference(mrr,[status(thm)],[678,3,519]),
[iquote('0:MRR:678.1,678.2,3.0,519.0')] ).
cnf(680,plain,
( equal(op(e1,e0),e3)
| equal(e3,e0)
| equal(op(e1,e2),e3)
| equal(op(e1,e3),e3)
| equal(op(e1,e4),e3) ),
inference(rew,[status(thm),theory(equality)],[565,452]),
[iquote('0:Rew:565.0,452.1')] ).
cnf(681,plain,
( equal(op(e1,e3),e3)
| equal(op(e1,e4),e3)
| equal(op(e1,e0),e3) ),
inference(mrr,[status(thm)],[680,3,525]),
[iquote('0:MRR:680.1,680.2,3.0,525.0')] ).
cnf(690,plain,
( equal(op(e4,e0),e4)
| equal(op(e0,e0),e4)
| equal(op(e2,e0),e4)
| equal(op(e1,e0),e4) ),
inference(mrr,[status(thm)],[459,543]),
[iquote('0:MRR:459.3,543.0')] ).
cnf(693,plain,
( equal(op(e0,e3),e3)
| equal(op(e0,e0),e3)
| equal(op(e0,e4),e3)
| equal(op(e0,e1),e3) ),
inference(mrr,[status(thm)],[462,527]),
[iquote('0:MRR:462.2,527.0')] ).
cnf(695,plain,
( equal(op(e0,e1),e1)
| equal(op(e0,e0),e1)
| equal(op(e0,e4),e1)
| equal(op(e0,e3),e1) ),
inference(mrr,[status(thm)],[466,526]),
[iquote('0:MRR:466.2,526.0')] ).
cnf(700,plain,
( equal(op(e4,e1),e4)
| equal(op(e4,e1),e1)
| equal(op(e4,e1),e3)
| equal(op(e4,e1),e2) ),
inference(mrr,[status(thm)],[472,573]),
[iquote('0:MRR:472.0,573.0')] ).
cnf(702,plain,
( equal(op(e3,e1),e3)
| equal(op(e3,e1),e2) ),
inference(mrr,[status(thm)],[477,574,515,542]),
[iquote('0:MRR:477.0,477.1,477.4,574.0,515.0,542.0')] ).
cnf(703,plain,
( equal(op(e3,e0),e3)
| equal(op(e3,e0),e0)
| equal(op(e3,e0),e2) ),
inference(mrr,[status(thm)],[478,516,543]),
[iquote('0:MRR:478.1,478.4,516.0,543.0')] ).
cnf(706,plain,
( equal(op(e2,e1),e2)
| equal(op(e2,e1),e1)
| equal(op(e2,e1),e4) ),
inference(mrr,[status(thm)],[482,575,519]),
[iquote('0:MRR:482.0,482.3,575.0,519.0')] ).
cnf(707,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e0)
| equal(op(e2,e0),e4)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[483,520]),
[iquote('0:MRR:483.3,520.0')] ).
cnf(709,plain,
( equal(op(e1,e3),e3)
| equal(op(e1,e3),e1)
| equal(op(e1,e3),e2) ),
inference(mrr,[status(thm)],[485,570,546]),
[iquote('0:MRR:485.0,485.4,570.0,546.0')] ).
cnf(712,plain,
( equal(op(e0,e3),e3)
| equal(op(e0,e3),e0)
| equal(op(e0,e3),e2)
| equal(op(e0,e3),e1) ),
inference(mrr,[status(thm)],[490,547]),
[iquote('0:MRR:490.4,547.0')] ).
cnf(713,plain,
( equal(op(e0,e2),e2)
| equal(op(e0,e2),e0)
| equal(op(e0,e2),e4) ),
inference(mrr,[status(thm)],[491,526,527]),
[iquote('0:MRR:491.1,491.3,526.0,527.0')] ).
cnf(715,plain,
( equal(op(e4,e4),e4)
| skC5
| skC8
| skC9
| skC23
| skC24
| skC27 ),
inference(mrr,[status(thm)],[494,534,510,550,532,508,514,578,506,504,502,548,500,551,513,549,529,579,498]),
[iquote('0:MRR:494.1,494.3,494.4,494.7,494.8,494.9,494.10,494.11,494.12,494.13,494.14,494.15,494.16,494.17,494.18,494.19,494.22,494.23,534.0,510.0,550.0,532.0,508.0,514.0,578.0,506.0,504.0,502.0,548.0,500.0,551.0,513.0,549.0,529.0,579.0,498.0')] ).
cnf(716,plain,
( ~ equal(e4,e4)
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27 ),
inference(rew,[status(thm),theory(equality)],[715,495]),
[iquote('0:Rew:715.0,495.0')] ).
cnf(717,plain,
( skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27 ),
inference(obv,[status(thm),theory(equality)],[716]),
[iquote('0:Obv:716.0')] ).
cnf(718,plain,
( skC27
| skC24
| skC23
| skC9
| skC8
| skC5 ),
inference(mrr,[status(thm)],[717,534,510,550,532,508,514,578,506,504,502,548,500,551,513,549,529,579,498]),
[iquote('0:MRR:717.0,717.2,717.3,717.6,717.7,717.8,717.9,717.10,717.11,717.12,717.13,717.14,717.15,717.16,717.17,717.18,717.21,717.22,534.0,510.0,550.0,532.0,508.0,514.0,578.0,506.0,504.0,502.0,548.0,500.0,551.0,513.0,549.0,529.0,579.0,498.0')] ).
cnf(719,plain,
equal(e4,unit),
inference(spt,[spt(split,[position(s1)])],[418]),
[iquote('1:Spt:418.0')] ).
cnf(742,plain,
( equal(op(e4,e0),e4)
| equal(op(e0,e0),unit)
| equal(op(e2,e0),e4)
| equal(op(e1,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[719,690]),
[iquote('1:Rew:719.0,690.1')] ).
cnf(760,plain,
~ equal(op(e1,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[719,127]),
[iquote('1:Rew:719.0,127.0')] ).
cnf(761,plain,
~ equal(op(e0,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[719,124]),
[iquote('1:Rew:719.0,124.0')] ).
cnf(773,plain,
~ equal(op(e0,e2),op(unit,e2)),
inference(rew,[status(thm),theory(equality)],[719,114]),
[iquote('1:Rew:719.0,114.0')] ).
cnf(775,plain,
( equal(op(e3,e1),e3)
| equal(op(unit,e1),e3)
| equal(op(e0,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[719,679]),
[iquote('1:Rew:719.0,679.1')] ).
cnf(810,plain,
~ equal(op(e3,e1),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[719,177]),
[iquote('1:Rew:719.0,177.0')] ).
cnf(815,plain,
( ~ skC2
| ~ equal(op(e2,unit),e2) ),
inference(rew,[status(thm),theory(equality)],[719,601]),
[iquote('1:Rew:719.0,601.1')] ).
cnf(820,plain,
( ~ equal(op(e2,e0),e4)
| skC3
| skC2
| skC1
| skC0
| equal(op(e2,unit),e0) ),
inference(rew,[status(thm),theory(equality)],[719,406]),
[iquote('1:Rew:719.0,406.5')] ).
cnf(823,plain,
~ equal(op(e2,e3),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[719,170]),
[iquote('1:Rew:719.0,170.0')] ).
cnf(833,plain,
( equal(op(e1,e3),e3)
| equal(op(e1,unit),e3)
| equal(op(e1,e0),e3) ),
inference(rew,[status(thm),theory(equality)],[719,681]),
[iquote('1:Rew:719.0,681.1')] ).
cnf(836,plain,
( ~ skC1
| ~ equal(op(e1,unit),e1) ),
inference(rew,[status(thm),theory(equality)],[719,619]),
[iquote('1:Rew:719.0,619.1')] ).
cnf(838,plain,
~ equal(op(e1,e3),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[719,160]),
[iquote('1:Rew:719.0,160.0')] ).
cnf(840,plain,
~ equal(op(e1,e0),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[719,154]),
[iquote('1:Rew:719.0,154.0')] ).
cnf(847,plain,
( equal(op(e0,e2),e2)
| equal(op(e0,e0),e2)
| equal(op(e0,unit),e2)
| equal(op(e0,e3),e2)
| equal(op(e0,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[719,464]),
[iquote('1:Rew:719.0,464.2')] ).
cnf(856,plain,
~ equal(op(e0,e3),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[719,150]),
[iquote('1:Rew:719.0,150.0')] ).
cnf(879,plain,
~ equal(e3,unit),
inference(rew,[status(thm),theory(equality)],[719,10]),
[iquote('1:Rew:719.0,10.0')] ).
cnf(880,plain,
~ equal(e2,unit),
inference(rew,[status(thm),theory(equality)],[719,9]),
[iquote('1:Rew:719.0,9.0')] ).
cnf(882,plain,
~ equal(e0,unit),
inference(rew,[status(thm),theory(equality)],[719,4]),
[iquote('1:Rew:719.0,4.0')] ).
cnf(917,plain,
~ equal(op(e1,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,760]),
[iquote('1:Rew:17.0,760.0')] ).
cnf(918,plain,
( equal(op(e1,e3),e1)
| equal(op(e1,e3),e2) ),
inference(mrr,[status(thm)],[709,917]),
[iquote('1:MRR:709.0,917.0')] ).
cnf(919,plain,
~ equal(op(e0,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,761]),
[iquote('1:Rew:17.0,761.0')] ).
cnf(920,plain,
( equal(op(e0,e3),e0)
| equal(op(e0,e3),e2)
| equal(op(e0,e3),e1) ),
inference(mrr,[status(thm)],[712,919]),
[iquote('1:MRR:712.0,919.0')] ).
cnf(924,plain,
~ equal(op(e0,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,773]),
[iquote('1:Rew:15.0,773.0')] ).
cnf(944,plain,
~ equal(op(e3,e1),e3),
inference(rew,[status(thm),theory(equality)],[18,810]),
[iquote('1:Rew:18.0,810.0')] ).
cnf(945,plain,
equal(op(e3,e1),e2),
inference(mrr,[status(thm)],[702,944]),
[iquote('1:MRR:702.0,944.0')] ).
cnf(955,plain,
( ~ skC2
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,815]),
[iquote('1:Rew:16.0,815.1')] ).
cnf(956,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[955]),
[iquote('1:Obv:955.1')] ).
cnf(957,plain,
~ equal(op(e2,e3),e2),
inference(rew,[status(thm),theory(equality)],[16,823]),
[iquote('1:Rew:16.0,823.0')] ).
cnf(958,plain,
~ skC3,
inference(mrr,[status(thm)],[588,957]),
[iquote('1:MRR:588.1,957.0')] ).
cnf(964,plain,
( ~ skC1
| ~ equal(e1,e1) ),
inference(rew,[status(thm),theory(equality)],[14,836]),
[iquote('1:Rew:14.0,836.1')] ).
cnf(965,plain,
~ skC1,
inference(obv,[status(thm),theory(equality)],[964]),
[iquote('1:Obv:964.1')] ).
cnf(966,plain,
~ equal(op(e1,e3),e1),
inference(rew,[status(thm),theory(equality)],[14,838]),
[iquote('1:Rew:14.0,838.0')] ).
cnf(968,plain,
~ equal(op(e1,e0),e1),
inference(rew,[status(thm),theory(equality)],[14,840]),
[iquote('1:Rew:14.0,840.0')] ).
cnf(969,plain,
~ skC0,
inference(mrr,[status(thm)],[629,968]),
[iquote('1:MRR:629.1,968.0')] ).
cnf(973,plain,
~ equal(op(e0,e3),e0),
inference(rew,[status(thm),theory(equality)],[12,856]),
[iquote('1:Rew:12.0,856.0')] ).
cnf(995,plain,
equal(op(e1,e3),e2),
inference(mrr,[status(thm)],[918,966]),
[iquote('1:MRR:918.0,966.0')] ).
cnf(999,plain,
~ equal(op(e0,e3),e2),
inference(rew,[status(thm),theory(equality)],[995,121]),
[iquote('1:Rew:995.0,121.0')] ).
cnf(1016,plain,
( equal(e3,e2)
| equal(e3,e1)
| equal(op(e0,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[13,775,945]),
[iquote('1:Rew:13.0,775.1,945.0,775.0')] ).
cnf(1017,plain,
equal(op(e0,e1),e3),
inference(mrr,[status(thm)],[1016,8,6]),
[iquote('1:MRR:1016.0,1016.1,8.0,6.0')] ).
cnf(1027,plain,
( ~ equal(op(e2,e0),unit)
| skC3
| skC2
| skC1
| skC0
| equal(e2,e0) ),
inference(rew,[status(thm),theory(equality)],[16,820,719]),
[iquote('1:Rew:16.0,820.5,719.0,820.0')] ).
cnf(1028,plain,
~ equal(op(e2,e0),unit),
inference(mrr,[status(thm)],[1027,958,956,965,969,2]),
[iquote('1:MRR:1027.1,1027.2,1027.3,1027.4,1027.5,958.0,956.0,965.0,969.0,2.0')] ).
cnf(1032,plain,
( equal(e3,e2)
| equal(e3,e1)
| equal(op(e1,e0),e3) ),
inference(rew,[status(thm),theory(equality)],[14,833,995]),
[iquote('1:Rew:14.0,833.1,995.0,833.0')] ).
cnf(1033,plain,
equal(op(e1,e0),e3),
inference(mrr,[status(thm)],[1032,8,6]),
[iquote('1:MRR:1032.0,1032.1,8.0,6.0')] ).
cnf(1050,plain,
equal(op(e0,e3),e1),
inference(mrr,[status(thm)],[920,973,999]),
[iquote('1:MRR:920.0,920.1,973.0,999.0')] ).
cnf(1067,plain,
( equal(e0,unit)
| equal(op(e0,e0),unit)
| equal(op(e2,e0),unit)
| equal(e3,unit) ),
inference(rew,[status(thm),theory(equality)],[1033,742,719,11]),
[iquote('1:Rew:1033.0,742.3,719.0,742.3,719.0,742.2,11.0,742.0,719.0,742.0')] ).
cnf(1068,plain,
equal(op(e0,e0),unit),
inference(mrr,[status(thm)],[1067,882,1028,879]),
[iquote('1:MRR:1067.0,1067.2,1067.3,882.0,1028.0,879.0')] ).
cnf(1094,plain,
( equal(op(e0,e2),e2)
| equal(e2,unit)
| equal(e2,e0)
| equal(e2,e1)
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[1017,847,1050,12,1068]),
[iquote('1:Rew:1017.0,847.4,1050.0,847.3,12.0,847.2,1068.0,847.1')] ).
cnf(1095,plain,
$false,
inference(mrr,[status(thm)],[1094,924,880,2,5,8]),
[iquote('1:MRR:1094.0,1094.1,1094.2,1094.3,1094.4,924.0,880.0,2.0,5.0,8.0')] ).
cnf(1096,plain,
~ equal(e4,unit),
inference(spt,[spt(split,[position(sa)])],[1095,719]),
[iquote('1:Spt:1095.0,418.0,719.0')] ).
cnf(1097,plain,
( equal(e3,unit)
| equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2)])],[418]),
[iquote('1:Spt:1095.0,418.1,418.2,418.3,418.4')] ).
cnf(1098,plain,
equal(e3,unit),
inference(spt,[spt(split,[position(s2s1)])],[1097]),
[iquote('2:Spt:1097.0')] ).
cnf(1108,plain,
~ equal(op(e2,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1098,98]),
[iquote('2:Rew:1098.0,98.0')] ).
cnf(1130,plain,
~ equal(op(e0,e2),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[1098,148]),
[iquote('2:Rew:1098.0,148.0')] ).
cnf(1131,plain,
( equal(op(e0,e1),e1)
| equal(op(e0,e0),e1)
| equal(op(e0,e4),e1)
| equal(op(e0,unit),e1) ),
inference(rew,[status(thm),theory(equality)],[1098,695]),
[iquote('2:Rew:1098.0,695.3')] ).
cnf(1149,plain,
~ equal(op(e1,e0),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[1098,153]),
[iquote('2:Rew:1098.0,153.0')] ).
cnf(1162,plain,
~ equal(op(e2,e0),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[1098,163]),
[iquote('2:Rew:1098.0,163.0')] ).
cnf(1163,plain,
~ equal(op(e2,e1),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[1098,166]),
[iquote('2:Rew:1098.0,166.0')] ).
cnf(1166,plain,
~ equal(op(e4,e1),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1098,186]),
[iquote('2:Rew:1098.0,186.0')] ).
cnf(1171,plain,
~ equal(op(e4,e4),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1098,190]),
[iquote('2:Rew:1098.0,190.0')] ).
cnf(1187,plain,
( ~ skC1
| equal(op(unit,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[1098,614]),
[iquote('2:Rew:1098.0,614.1')] ).
cnf(1188,plain,
~ equal(op(e4,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1098,110]),
[iquote('2:Rew:1098.0,110.0')] ).
cnf(1189,plain,
~ equal(op(e0,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1098,103]),
[iquote('2:Rew:1098.0,103.0')] ).
cnf(1190,plain,
~ equal(op(e2,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1098,108]),
[iquote('2:Rew:1098.0,108.0')] ).
cnf(1207,plain,
( ~ skC3
| ~ equal(unit,unit) ),
inference(rew,[status(thm),theory(equality)],[1098,555]),
[iquote('2:Rew:1098.0,555.1')] ).
cnf(1211,plain,
( equal(op(e4,e4),e4)
| equal(op(e4,e4),unit)
| equal(op(e4,e4),e2)
| equal(op(e4,e4),e1)
| equal(op(e4,e4),e0) ),
inference(rew,[status(thm),theory(equality)],[1098,469]),
[iquote('2:Rew:1098.0,469.1')] ).
cnf(1224,plain,
( skC3
| skC2
| skC1
| skC0
| equal(op(unit,e4),unit) ),
inference(rew,[status(thm),theory(equality)],[1098,633]),
[iquote('2:Rew:1098.0,633.4')] ).
cnf(1233,plain,
( equal(op(e4,e1),e4)
| equal(op(e4,e1),e1)
| equal(op(e4,e1),unit)
| equal(op(e4,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[1098,700]),
[iquote('2:Rew:1098.0,700.2')] ).
cnf(1256,plain,
~ skC3,
inference(obv,[status(thm),theory(equality)],[1207]),
[iquote('2:Obv:1207.1')] ).
cnf(1268,plain,
( ~ skC1
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[13,1187]),
[iquote('2:Rew:13.0,1187.1')] ).
cnf(1269,plain,
~ skC1,
inference(mrr,[status(thm)],[1268,5]),
[iquote('2:MRR:1268.1,5.0')] ).
cnf(1274,plain,
~ equal(op(e2,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1108]),
[iquote('2:Rew:11.0,1108.0')] ).
cnf(1275,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e4)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[707,1274]),
[iquote('2:MRR:707.1,1274.0')] ).
cnf(1280,plain,
~ equal(op(e0,e2),e0),
inference(rew,[status(thm),theory(equality)],[12,1130]),
[iquote('2:Rew:12.0,1130.0')] ).
cnf(1281,plain,
equal(op(e4,e2),e0),
inference(mrr,[status(thm)],[671,1280]),
[iquote('2:MRR:671.0,1280.0')] ).
cnf(1289,plain,
~ equal(op(e4,e4),e0),
inference(rew,[status(thm),theory(equality)],[1281,189]),
[iquote('2:Rew:1281.0,189.0')] ).
cnf(1294,plain,
( ~ skC2
| ~ equal(op(e4,e4),e2)
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[1281,351]),
[iquote('2:Rew:1281.0,351.2')] ).
cnf(1305,plain,
~ equal(op(e1,e0),e1),
inference(rew,[status(thm),theory(equality)],[14,1149]),
[iquote('2:Rew:14.0,1149.0')] ).
cnf(1306,plain,
~ skC0,
inference(mrr,[status(thm)],[629,1305]),
[iquote('2:MRR:629.1,1305.0')] ).
cnf(1312,plain,
~ equal(op(e2,e0),e2),
inference(rew,[status(thm),theory(equality)],[16,1162]),
[iquote('2:Rew:16.0,1162.0')] ).
cnf(1313,plain,
~ equal(op(e2,e1),e2),
inference(rew,[status(thm),theory(equality)],[16,1163]),
[iquote('2:Rew:16.0,1163.0')] ).
cnf(1314,plain,
( equal(op(e2,e1),e1)
| equal(op(e2,e1),e4) ),
inference(mrr,[status(thm)],[706,1313]),
[iquote('2:MRR:706.0,1313.0')] ).
cnf(1317,plain,
~ equal(op(e4,e1),e4),
inference(rew,[status(thm),theory(equality)],[20,1166]),
[iquote('2:Rew:20.0,1166.0')] ).
cnf(1323,plain,
~ equal(op(e4,e4),e4),
inference(rew,[status(thm),theory(equality)],[20,1171]),
[iquote('2:Rew:20.0,1171.0')] ).
cnf(1326,plain,
~ equal(op(e4,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1188]),
[iquote('2:Rew:13.0,1188.0')] ).
cnf(1328,plain,
~ equal(op(e0,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1189]),
[iquote('2:Rew:13.0,1189.0')] ).
cnf(1329,plain,
~ equal(op(e2,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1190]),
[iquote('2:Rew:13.0,1190.0')] ).
cnf(1342,plain,
( skC3
| skC2
| skC1
| skC0
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[19,1224]),
[iquote('2:Rew:19.0,1224.4')] ).
cnf(1343,plain,
skC2,
inference(mrr,[status(thm)],[1342,1256,1269,1306,1096]),
[iquote('2:MRR:1342.0,1342.2,1342.3,1342.4,1256.0,1269.0,1306.0,1096.0')] ).
cnf(1344,plain,
~ equal(op(e4,e1),e2),
inference(mrr,[status(thm)],[594,1343]),
[iquote('2:MRR:594.0,1343.0')] ).
cnf(1352,plain,
equal(op(e2,e1),e4),
inference(mrr,[status(thm)],[1314,1329]),
[iquote('2:MRR:1314.0,1329.0')] ).
cnf(1357,plain,
~ equal(op(e2,e0),e4),
inference(rew,[status(thm),theory(equality)],[1352,161]),
[iquote('2:Rew:1352.0,161.0')] ).
cnf(1364,plain,
~ equal(op(e4,e4),e2),
inference(mrr,[status(thm)],[1294,1343,4]),
[iquote('2:MRR:1294.0,1294.2,1343.0,4.0')] ).
cnf(1390,plain,
equal(op(e2,e0),e1),
inference(mrr,[status(thm)],[1275,1312,1357]),
[iquote('2:MRR:1275.0,1275.1,1312.0,1357.0')] ).
cnf(1393,plain,
~ equal(op(e0,e0),e1),
inference(rew,[status(thm),theory(equality)],[1390,92]),
[iquote('2:Rew:1390.0,92.0')] ).
cnf(1412,plain,
( equal(op(e0,e1),e1)
| equal(op(e0,e0),e1)
| equal(op(e0,e4),e1)
| equal(e1,e0) ),
inference(rew,[status(thm),theory(equality)],[12,1131]),
[iquote('2:Rew:12.0,1131.3')] ).
cnf(1413,plain,
equal(op(e0,e4),e1),
inference(mrr,[status(thm)],[1412,1328,1393,1]),
[iquote('2:MRR:1412.0,1412.1,1412.3,1328.0,1393.0,1.0')] ).
cnf(1415,plain,
~ equal(op(e4,e4),e1),
inference(rew,[status(thm),theory(equality)],[1413,134]),
[iquote('2:Rew:1413.0,134.0')] ).
cnf(1441,plain,
equal(op(e4,e1),unit),
inference(mrr,[status(thm)],[1233,1317,1326,1344]),
[iquote('2:MRR:1233.0,1233.1,1233.3,1317.0,1326.0,1344.0')] ).
cnf(1445,plain,
~ equal(op(e4,e4),unit),
inference(rew,[status(thm),theory(equality)],[1441,187]),
[iquote('2:Rew:1441.0,187.0')] ).
cnf(1505,plain,
$false,
inference(mrr,[status(thm)],[1211,1323,1445,1364,1415,1289]),
[iquote('2:MRR:1211.0,1211.1,1211.2,1211.3,1211.4,1323.0,1445.0,1364.0,1415.0,1289.0')] ).
cnf(1506,plain,
~ equal(e3,unit),
inference(spt,[spt(split,[position(s2sa)])],[1505,1098]),
[iquote('2:Spt:1505.0,1097.0,1098.0')] ).
cnf(1507,plain,
( equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2s2)])],[1097]),
[iquote('2:Spt:1505.0,1097.1,1097.2,1097.3')] ).
cnf(1508,plain,
equal(e2,unit),
inference(spt,[spt(split,[position(s2s2s1)])],[1507]),
[iquote('3:Spt:1507.0')] ).
cnf(1509,plain,
~ equal(e1,unit),
inference(rew,[status(thm),theory(equality)],[1508,5]),
[iquote('3:Rew:1508.0,5.0')] ).
cnf(1510,plain,
~ equal(e0,unit),
inference(rew,[status(thm),theory(equality)],[1508,2]),
[iquote('3:Rew:1508.0,2.0')] ).
cnf(1518,plain,
~ equal(op(e3,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1508,98]),
[iquote('3:Rew:1508.0,98.0')] ).
cnf(1525,plain,
~ equal(op(e4,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1508,99]),
[iquote('3:Rew:1508.0,99.0')] ).
cnf(1537,plain,
~ equal(op(e1,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[1508,125]),
[iquote('3:Rew:1508.0,125.0')] ).
cnf(1546,plain,
~ equal(op(e1,e3),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[1508,158]),
[iquote('3:Rew:1508.0,158.0')] ).
cnf(1549,plain,
( equal(op(e1,e4),e4)
| equal(op(e1,unit),e4)
| equal(op(e1,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[1508,677]),
[iquote('3:Rew:1508.0,677.1')] ).
cnf(1559,plain,
~ equal(op(e4,e1),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1508,185]),
[iquote('3:Rew:1508.0,185.0')] ).
cnf(1560,plain,
~ equal(op(e4,e0),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1508,182]),
[iquote('3:Rew:1508.0,182.0')] ).
cnf(1574,plain,
~ equal(op(e1,e4),op(unit,e4)),
inference(rew,[status(thm),theory(equality)],[1508,135]),
[iquote('3:Rew:1508.0,135.0')] ).
cnf(1602,plain,
~ equal(op(e0,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1508,102]),
[iquote('3:Rew:1508.0,102.0')] ).
cnf(1605,plain,
( equal(op(e4,e1),e4)
| equal(op(unit,e1),e4)
| equal(op(e0,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[1508,675]),
[iquote('3:Rew:1508.0,675.1')] ).
cnf(1612,plain,
( ~ skC1
| equal(op(e3,e1),unit) ),
inference(rew,[status(thm),theory(equality)],[1508,614]),
[iquote('3:Rew:1508.0,614.1')] ).
cnf(1616,plain,
( ~ skC3
| equal(op(unit,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[1508,588]),
[iquote('3:Rew:1508.0,588.1')] ).
cnf(1617,plain,
( equal(op(e4,e4),e2)
| equal(op(e2,e4),e2)
| equal(op(e3,e4),unit)
| equal(op(e1,e4),e2)
| equal(op(e0,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[1508,423]),
[iquote('3:Rew:1508.0,423.2')] ).
cnf(1624,plain,
( equal(op(e1,e3),e3)
| equal(op(e1,e3),e1)
| equal(op(e1,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[1508,709]),
[iquote('3:Rew:1508.0,709.2')] ).
cnf(1625,plain,
( ~ skC2
| ~ equal(op(e1,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[1508,606]),
[iquote('3:Rew:1508.0,606.1')] ).
cnf(1652,plain,
( equal(op(e4,e0),e4)
| equal(op(e4,e0),e0)
| equal(op(e4,e0),e3)
| equal(op(e4,e0),unit)
| equal(op(e4,e0),e1) ),
inference(rew,[status(thm),theory(equality)],[1508,473]),
[iquote('3:Rew:1508.0,473.3')] ).
cnf(1674,plain,
( ~ skC3
| equal(e3,unit) ),
inference(rew,[status(thm),theory(equality)],[17,1616]),
[iquote('3:Rew:17.0,1616.1')] ).
cnf(1675,plain,
~ skC3,
inference(mrr,[status(thm)],[1674,1506]),
[iquote('3:MRR:1674.1,1506.0')] ).
cnf(1676,plain,
( skC2
| skC1
| skC0
| equal(op(e3,e4),e3) ),
inference(mrr,[status(thm)],[633,1675]),
[iquote('3:MRR:633.0,1675.0')] ).
cnf(1682,plain,
~ equal(op(e3,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1518]),
[iquote('3:Rew:11.0,1518.0')] ).
cnf(1683,plain,
equal(op(e3,e4),e0),
inference(mrr,[status(thm)],[659,1682]),
[iquote('3:MRR:659.0,1682.0')] ).
cnf(1689,plain,
( ~ skC0
| ~ equal(e0,e0) ),
inference(rew,[status(thm),theory(equality)],[1683,623]),
[iquote('3:Rew:1683.0,623.1')] ).
cnf(1695,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[1689]),
[iquote('3:Obv:1689.1')] ).
cnf(1703,plain,
~ equal(op(e4,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1525]),
[iquote('3:Rew:11.0,1525.0')] ).
cnf(1710,plain,
~ equal(op(e1,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,1537]),
[iquote('3:Rew:17.0,1537.0')] ).
cnf(1711,plain,
( equal(op(e1,e4),e3)
| equal(op(e1,e0),e3) ),
inference(mrr,[status(thm)],[681,1710]),
[iquote('3:MRR:681.0,1710.0')] ).
cnf(1713,plain,
~ equal(op(e1,e3),e1),
inference(rew,[status(thm),theory(equality)],[14,1546]),
[iquote('3:Rew:14.0,1546.0')] ).
cnf(1720,plain,
~ equal(op(e4,e1),e4),
inference(rew,[status(thm),theory(equality)],[20,1559]),
[iquote('3:Rew:20.0,1559.0')] ).
cnf(1722,plain,
~ equal(op(e4,e0),e4),
inference(rew,[status(thm),theory(equality)],[20,1560]),
[iquote('3:Rew:20.0,1560.0')] ).
cnf(1727,plain,
~ equal(op(e1,e4),e4),
inference(rew,[status(thm),theory(equality)],[19,1574]),
[iquote('3:Rew:19.0,1574.0')] ).
cnf(1738,plain,
~ equal(op(e0,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1602]),
[iquote('3:Rew:13.0,1602.0')] ).
cnf(1739,plain,
( equal(op(e0,e0),e1)
| equal(op(e0,e4),e1)
| equal(op(e0,e3),e1) ),
inference(mrr,[status(thm)],[695,1738]),
[iquote('3:MRR:695.0,1738.0')] ).
cnf(1747,plain,
( skC2
| skC1
| skC0
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[1683,1676]),
[iquote('3:Rew:1683.0,1676.3')] ).
cnf(1748,plain,
( skC2
| skC1 ),
inference(mrr,[status(thm)],[1747,1695,3]),
[iquote('3:MRR:1747.2,1747.3,1695.0,3.0')] ).
cnf(1793,plain,
( equal(op(e1,e4),e4)
| equal(e4,e1)
| equal(op(e1,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[14,1549]),
[iquote('3:Rew:14.0,1549.1')] ).
cnf(1794,plain,
equal(op(e1,e0),e4),
inference(mrr,[status(thm)],[1793,1727,7]),
[iquote('3:MRR:1793.0,1793.1,1727.0,7.0')] ).
cnf(1796,plain,
( equal(op(e1,e4),e3)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[1794,1711]),
[iquote('3:Rew:1794.0,1711.1')] ).
cnf(1805,plain,
equal(op(e1,e4),e3),
inference(mrr,[status(thm)],[1796,10]),
[iquote('3:MRR:1796.1,10.0')] ).
cnf(1819,plain,
( equal(op(e4,e1),e4)
| equal(e4,e1)
| equal(op(e0,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[13,1605]),
[iquote('3:Rew:13.0,1605.1')] ).
cnf(1820,plain,
equal(op(e0,e1),e4),
inference(mrr,[status(thm)],[1819,1720,7]),
[iquote('3:MRR:1819.0,1819.1,1720.0,7.0')] ).
cnf(1827,plain,
( equal(op(e3,e1),e3)
| equal(op(e4,e1),e3)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[1820,679]),
[iquote('3:Rew:1820.0,679.2')] ).
cnf(1828,plain,
( ~ skC1
| ~ equal(op(e0,e3),e1)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[1820,314]),
[iquote('3:Rew:1820.0,314.2')] ).
cnf(1831,plain,
( ~ skC1
| ~ equal(op(e0,e3),e1) ),
inference(mrr,[status(thm)],[1828,10]),
[iquote('3:MRR:1828.2,10.0')] ).
cnf(1832,plain,
( equal(op(e3,e1),e3)
| equal(op(e4,e1),e3) ),
inference(mrr,[status(thm)],[1827,10]),
[iquote('3:MRR:1827.2,10.0')] ).
cnf(1836,plain,
equal(op(e1,e3),unit),
inference(mrr,[status(thm)],[1624,1710,1713]),
[iquote('3:MRR:1624.0,1624.1,1710.0,1713.0')] ).
cnf(1842,plain,
( ~ skC2
| ~ equal(unit,unit) ),
inference(rew,[status(thm),theory(equality)],[1836,1625]),
[iquote('3:Rew:1836.0,1625.1')] ).
cnf(1843,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[1842]),
[iquote('3:Obv:1842.1')] ).
cnf(1844,plain,
skC1,
inference(mrr,[status(thm)],[1748,1843]),
[iquote('3:MRR:1748.0,1843.0')] ).
cnf(1845,plain,
~ equal(op(e4,e0),e1),
inference(mrr,[status(thm)],[611,1844]),
[iquote('3:MRR:611.0,1844.0')] ).
cnf(1846,plain,
~ equal(op(e0,e0),e1),
inference(mrr,[status(thm)],[622,1844]),
[iquote('3:MRR:622.0,1844.0')] ).
cnf(1847,plain,
equal(op(e3,e1),unit),
inference(mrr,[status(thm)],[1612,1844]),
[iquote('3:MRR:1612.0,1844.0')] ).
cnf(1849,plain,
~ equal(op(e0,e3),e1),
inference(mrr,[status(thm)],[1831,1844]),
[iquote('3:MRR:1831.0,1844.0')] ).
cnf(1853,plain,
( equal(e3,unit)
| equal(op(e4,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[1847,1832]),
[iquote('3:Rew:1847.0,1832.0')] ).
cnf(1861,plain,
equal(op(e4,e1),e3),
inference(mrr,[status(thm)],[1853,1506]),
[iquote('3:MRR:1853.0,1506.0')] ).
cnf(1864,plain,
~ equal(op(e4,e0),e3),
inference(rew,[status(thm),theory(equality)],[1861,181]),
[iquote('3:Rew:1861.0,181.0')] ).
cnf(1879,plain,
equal(op(e0,e4),e1),
inference(mrr,[status(thm)],[1739,1846,1849]),
[iquote('3:MRR:1739.0,1739.2,1846.0,1849.0')] ).
cnf(1899,plain,
( equal(op(e4,e4),unit)
| equal(e4,unit)
| equal(e0,unit)
| equal(e3,unit)
| equal(e1,unit) ),
inference(rew,[status(thm),theory(equality)],[1879,1617,1508,1805,1683,19]),
[iquote('3:Rew:1879.0,1617.4,1508.0,1617.4,1805.0,1617.3,1508.0,1617.3,1683.0,1617.2,19.0,1617.1,1508.0,1617.1,1508.0,1617.0')] ).
cnf(1900,plain,
equal(op(e4,e4),unit),
inference(mrr,[status(thm)],[1899,1096,1510,1506,1509]),
[iquote('3:MRR:1899.1,1899.2,1899.3,1899.4,1096.0,1510.0,1506.0,1509.0')] ).
cnf(1901,plain,
~ equal(op(e4,e0),unit),
inference(rew,[status(thm),theory(equality)],[1900,184]),
[iquote('3:Rew:1900.0,184.0')] ).
cnf(1916,plain,
$false,
inference(mrr,[status(thm)],[1652,1722,1703,1864,1901,1845]),
[iquote('3:MRR:1652.0,1652.1,1652.2,1652.3,1652.4,1722.0,1703.0,1864.0,1901.0,1845.0')] ).
cnf(1917,plain,
~ equal(e2,unit),
inference(spt,[spt(split,[position(s2s2sa)])],[1916,1508]),
[iquote('3:Spt:1916.0,1507.0,1508.0')] ).
cnf(1918,plain,
( equal(e1,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2s2s2)])],[1507]),
[iquote('3:Spt:1916.0,1507.1,1507.2')] ).
cnf(1919,plain,
equal(e1,unit),
inference(spt,[spt(split,[position(s2s2s2s1)])],[1918]),
[iquote('4:Spt:1918.0')] ).
cnf(1920,plain,
~ equal(e0,unit),
inference(rew,[status(thm),theory(equality)],[1919,1]),
[iquote('4:Rew:1919.0,1.0')] ).
cnf(1933,plain,
( ~ skC2
| ~ equal(op(e2,unit),e2) ),
inference(rew,[status(thm),theory(equality)],[1919,603]),
[iquote('4:Rew:1919.0,603.1')] ).
cnf(1936,plain,
~ equal(op(e2,e3),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[1919,166]),
[iquote('4:Rew:1919.0,166.0')] ).
cnf(1945,plain,
~ equal(op(e0,e2),op(unit,e2)),
inference(rew,[status(thm),theory(equality)],[1919,111]),
[iquote('4:Rew:1919.0,111.0')] ).
cnf(1955,plain,
( ~ skC1
| ~ equal(unit,unit) ),
inference(rew,[status(thm),theory(equality)],[1919,561]),
[iquote('4:Rew:1919.0,561.1')] ).
cnf(1966,plain,
~ equal(op(e4,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1919,97]),
[iquote('4:Rew:1919.0,97.0')] ).
cnf(1968,plain,
~ equal(op(e3,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1919,96]),
[iquote('4:Rew:1919.0,96.0')] ).
cnf(1988,plain,
~ equal(op(e0,e2),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[1919,145]),
[iquote('4:Rew:1919.0,145.0')] ).
cnf(1992,plain,
( equal(op(e0,e3),e3)
| equal(op(e0,e0),e3)
| equal(op(e0,e4),e3)
| equal(op(e0,unit),e3) ),
inference(rew,[status(thm),theory(equality)],[1919,693]),
[iquote('4:Rew:1919.0,693.3')] ).
cnf(2009,plain,
~ equal(op(e0,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[1919,121]),
[iquote('4:Rew:1919.0,121.0')] ).
cnf(2021,plain,
~ equal(op(e3,e0),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[1919,171]),
[iquote('4:Rew:1919.0,171.0')] ).
cnf(2032,plain,
~ equal(op(e4,e0),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1919,181]),
[iquote('4:Rew:1919.0,181.0')] ).
cnf(2038,plain,
( ~ equal(op(e4,unit),e4)
| skC3
| skC2
| skC1
| skC0
| equal(op(e4,e4),e1) ),
inference(rew,[status(thm),theory(equality)],[1919,415]),
[iquote('4:Rew:1919.0,415.0')] ).
cnf(2044,plain,
( ~ skC0
| equal(op(unit,e0),unit) ),
inference(rew,[status(thm),theory(equality)],[1919,629]),
[iquote('4:Rew:1919.0,629.1')] ).
cnf(2059,plain,
( equal(op(e4,e0),e4)
| equal(op(e4,e0),e0)
| equal(op(e4,e0),e3)
| equal(op(e4,e0),e2)
| equal(op(e4,e0),unit) ),
inference(rew,[status(thm),theory(equality)],[1919,473]),
[iquote('4:Rew:1919.0,473.4')] ).
cnf(2075,plain,
~ skC1,
inference(obv,[status(thm),theory(equality)],[1955]),
[iquote('4:Obv:1955.1')] ).
cnf(2077,plain,
( ~ equal(op(e0,e2),e4)
| skC3
| skC2
| skC0
| equal(op(e0,e4),e2) ),
inference(mrr,[status(thm)],[400,2075]),
[iquote('4:MRR:400.3,2075.0')] ).
cnf(2093,plain,
( ~ skC0
| equal(e0,unit) ),
inference(rew,[status(thm),theory(equality)],[11,2044]),
[iquote('4:Rew:11.0,2044.1')] ).
cnf(2094,plain,
~ skC0,
inference(mrr,[status(thm)],[2093,1920]),
[iquote('4:MRR:2093.1,1920.0')] ).
cnf(2095,plain,
( ~ skC2
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,1933]),
[iquote('4:Rew:16.0,1933.1')] ).
cnf(2096,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[2095]),
[iquote('4:Obv:2095.1')] ).
cnf(2099,plain,
~ equal(op(e2,e3),e2),
inference(rew,[status(thm),theory(equality)],[16,1936]),
[iquote('4:Rew:16.0,1936.0')] ).
cnf(2100,plain,
~ skC3,
inference(mrr,[status(thm)],[588,2099]),
[iquote('4:MRR:588.1,2099.0')] ).
cnf(2101,plain,
~ equal(op(e0,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,1945]),
[iquote('4:Rew:15.0,1945.0')] ).
cnf(2102,plain,
( equal(op(e0,e2),e0)
| equal(op(e0,e2),e4) ),
inference(mrr,[status(thm)],[713,2101]),
[iquote('4:MRR:713.0,2101.0')] ).
cnf(2109,plain,
~ equal(op(e4,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1966]),
[iquote('4:Rew:11.0,1966.0')] ).
cnf(2113,plain,
~ equal(op(e3,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1968]),
[iquote('4:Rew:11.0,1968.0')] ).
cnf(2115,plain,
( equal(op(e3,e0),e3)
| equal(op(e3,e0),e2) ),
inference(mrr,[status(thm)],[703,2113]),
[iquote('4:MRR:703.1,2113.0')] ).
cnf(2134,plain,
~ equal(op(e0,e2),e0),
inference(rew,[status(thm),theory(equality)],[12,1988]),
[iquote('4:Rew:12.0,1988.0')] ).
cnf(2152,plain,
~ equal(op(e0,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,2009]),
[iquote('4:Rew:17.0,2009.0')] ).
cnf(2156,plain,
~ equal(op(e3,e0),e3),
inference(rew,[status(thm),theory(equality)],[18,2021]),
[iquote('4:Rew:18.0,2021.0')] ).
cnf(2162,plain,
~ equal(op(e4,e0),e4),
inference(rew,[status(thm),theory(equality)],[20,2032]),
[iquote('4:Rew:20.0,2032.0')] ).
cnf(2169,plain,
equal(op(e0,e2),e4),
inference(mrr,[status(thm)],[2102,2134]),
[iquote('4:MRR:2102.0,2134.0')] ).
cnf(2185,plain,
equal(op(e3,e0),e2),
inference(mrr,[status(thm)],[2115,2156]),
[iquote('4:MRR:2115.0,2156.0')] ).
cnf(2188,plain,
~ equal(op(e4,e0),e2),
inference(rew,[status(thm),theory(equality)],[2185,100]),
[iquote('4:Rew:2185.0,100.0')] ).
cnf(2193,plain,
( ~ equal(e4,e4)
| skC3
| skC2
| skC0
| equal(op(e0,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[2169,2077]),
[iquote('4:Rew:2169.0,2077.0')] ).
cnf(2194,plain,
( skC3
| skC2
| skC0
| equal(op(e0,e4),e2) ),
inference(obv,[status(thm),theory(equality)],[2193]),
[iquote('4:Obv:2193.0')] ).
cnf(2195,plain,
equal(op(e0,e4),e2),
inference(mrr,[status(thm)],[2194,2100,2096,2094]),
[iquote('4:MRR:2194.0,2194.1,2194.2,2100.0,2096.0,2094.0')] ).
cnf(2214,plain,
( ~ equal(e4,e4)
| skC3
| skC2
| skC1
| skC0
| equal(op(e4,e4),unit) ),
inference(rew,[status(thm),theory(equality)],[1919,2038,20]),
[iquote('4:Rew:1919.0,2038.5,20.0,2038.0')] ).
cnf(2215,plain,
( skC3
| skC2
| skC1
| skC0
| equal(op(e4,e4),unit) ),
inference(obv,[status(thm),theory(equality)],[2214]),
[iquote('4:Obv:2214.0')] ).
cnf(2216,plain,
equal(op(e4,e4),unit),
inference(mrr,[status(thm)],[2215,2100,2096,2075,2094]),
[iquote('4:MRR:2215.0,2215.1,2215.2,2215.3,2100.0,2096.0,2075.0,2094.0')] ).
cnf(2221,plain,
~ equal(op(e4,e0),unit),
inference(rew,[status(thm),theory(equality)],[2216,184]),
[iquote('4:Rew:2216.0,184.0')] ).
cnf(2248,plain,
( equal(op(e0,e3),e3)
| equal(op(e0,e0),e3)
| equal(e3,e2)
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[12,1992,2195]),
[iquote('4:Rew:12.0,1992.3,2195.0,1992.2')] ).
cnf(2249,plain,
equal(op(e0,e0),e3),
inference(mrr,[status(thm)],[2248,2152,8,3]),
[iquote('4:MRR:2248.0,2248.2,2248.3,2152.0,8.0,3.0')] ).
cnf(2251,plain,
~ equal(op(e4,e0),e3),
inference(rew,[status(thm),theory(equality)],[2249,94]),
[iquote('4:Rew:2249.0,94.0')] ).
cnf(2291,plain,
$false,
inference(mrr,[status(thm)],[2059,2162,2109,2251,2188,2221]),
[iquote('4:MRR:2059.0,2059.1,2059.2,2059.3,2059.4,2162.0,2109.0,2251.0,2188.0,2221.0')] ).
cnf(2292,plain,
~ equal(e1,unit),
inference(spt,[spt(split,[position(s2s2s2sa)])],[2291,1919]),
[iquote('4:Spt:2291.0,1918.0,1919.0')] ).
cnf(2293,plain,
equal(e0,unit),
inference(spt,[spt(split,[position(s2s2s2s2)])],[1918]),
[iquote('4:Spt:2291.0,1918.1')] ).
cnf(2294,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[2293,12]),
[iquote('4:Rew:2293.0,12.0')] ).
cnf(2299,plain,
~ equal(e1,unit),
inference(rew,[status(thm),theory(equality)],[2293,1]),
[iquote('4:Rew:2293.0,1.0')] ).
cnf(2311,plain,
( ~ skC0
| ~ equal(unit,unit) ),
inference(rew,[status(thm),theory(equality)],[2293,580]),
[iquote('4:Rew:2293.0,580.1')] ).
cnf(2312,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[2311]),
[iquote('4:Obv:2311.1')] ).
cnf(2317,plain,
( ~ skC5
| equal(e1,unit) ),
inference(rew,[status(thm),theory(equality)],[2294,23,2293]),
[iquote('4:Rew:2294.0,23.1,2293.0,23.1')] ).
cnf(2318,plain,
~ skC5,
inference(mrr,[status(thm)],[2317,2299]),
[iquote('4:MRR:2317.1,2299.0')] ).
cnf(2319,plain,
( skC27
| skC24
| skC23
| skC9
| skC8 ),
inference(mrr,[status(thm)],[718,2318]),
[iquote('4:MRR:718.5,2318.0')] ).
cnf(2320,plain,
( ~ skC9
| equal(e1,unit) ),
inference(rew,[status(thm),theory(equality)],[2294,32,2293]),
[iquote('4:Rew:2294.0,32.1,2293.0,32.1')] ).
cnf(2321,plain,
~ skC9,
inference(mrr,[status(thm)],[2320,2299]),
[iquote('4:MRR:2320.1,2299.0')] ).
cnf(2322,plain,
( skC27
| skC24
| skC23
| skC8 ),
inference(mrr,[status(thm)],[2319,2321]),
[iquote('4:MRR:2319.3,2321.0')] ).
cnf(2325,plain,
( ~ skC24
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[2294,59,2293]),
[iquote('4:Rew:2294.0,59.1,2293.0,59.1')] ).
cnf(2326,plain,
~ skC24,
inference(mrr,[status(thm)],[2325,1096]),
[iquote('4:MRR:2325.1,1096.0')] ).
cnf(2327,plain,
( skC27
| skC23
| skC8 ),
inference(mrr,[status(thm)],[2322,2326]),
[iquote('4:MRR:2322.1,2326.0')] ).
cnf(2328,plain,
( ~ skC8
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[2294,29,2293]),
[iquote('4:Rew:2294.0,29.1,2293.0,29.1')] ).
cnf(2329,plain,
~ skC8,
inference(mrr,[status(thm)],[2328,1096]),
[iquote('4:MRR:2328.1,1096.0')] ).
cnf(2330,plain,
( skC27
| skC23 ),
inference(mrr,[status(thm)],[2327,2329]),
[iquote('4:MRR:2327.2,2329.0')] ).
cnf(2357,plain,
( ~ skC2
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,605,2293]),
[iquote('4:Rew:16.0,605.1,2293.0,605.1')] ).
cnf(2358,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[2357]),
[iquote('4:Obv:2357.1')] ).
cnf(2359,plain,
( ~ skC3
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[18,586,2293]),
[iquote('4:Rew:18.0,586.1,2293.0,586.1')] ).
cnf(2360,plain,
~ skC3,
inference(obv,[status(thm),theory(equality)],[2359]),
[iquote('4:Obv:2359.1')] ).
cnf(2361,plain,
~ equal(op(e3,e4),e3),
inference(rew,[status(thm),theory(equality)],[18,174,2293]),
[iquote('4:Rew:18.0,174.0,2293.0,174.0')] ).
cnf(2385,plain,
skC1,
inference(mrr,[status(thm)],[633,2360,2358,2312,2361]),
[iquote('4:MRR:633.0,633.1,633.3,633.4,2360.0,2358.0,2312.0,2361.0')] ).
cnf(2386,plain,
equal(op(e3,e1),e2),
inference(mrr,[status(thm)],[614,2385]),
[iquote('4:MRR:614.0,2385.0')] ).
cnf(2447,plain,
( equal(e3,e2)
| equal(op(e4,e1),e3)
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[13,679,2293,2386]),
[iquote('4:Rew:13.0,679.2,2293.0,679.2,2386.0,679.0')] ).
cnf(2448,plain,
equal(op(e4,e1),e3),
inference(mrr,[status(thm)],[2447,8,6]),
[iquote('4:MRR:2447.0,2447.2,8.0,6.0')] ).
cnf(2450,plain,
~ equal(op(e4,e4),e3),
inference(rew,[status(thm),theory(equality)],[2448,187]),
[iquote('4:Rew:2448.0,187.0')] ).
cnf(2456,plain,
~ skC23,
inference(mrr,[status(thm)],[57,2450]),
[iquote('4:MRR:57.1,2450.0')] ).
cnf(2457,plain,
~ skC27,
inference(mrr,[status(thm)],[64,2450]),
[iquote('4:MRR:64.1,2450.0')] ).
cnf(2458,plain,
skC27,
inference(mrr,[status(thm)],[2330,2456]),
[iquote('4:MRR:2330.1,2456.0')] ).
cnf(2459,plain,
$false,
inference(mrr,[status(thm)],[2457,2458]),
[iquote('4:MRR:2457.0,2458.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 05:00:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.48/0.64
% 0.48/0.64 SPASS V 3.9
% 0.48/0.64 SPASS beiseite: Proof found.
% 0.48/0.64 % SZS status Theorem
% 0.48/0.64 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 SPASS derived 1144 clauses, backtracked 1009 clauses, performed 4 splits and kept 1638 clauses.
% 0.48/0.64 SPASS allocated 86578 KBytes.
% 0.48/0.64 SPASS spent 0:00:00.29 on the problem.
% 0.48/0.64 0:00:00.04 for the input.
% 0.48/0.64 0:00:00.10 for the FLOTTER CNF translation.
% 0.48/0.64 0:00:00.00 for inferences.
% 0.48/0.64 0:00:00.00 for the backtracking.
% 0.48/0.64 0:00:00.12 for the reduction.
% 0.48/0.64
% 0.48/0.64
% 0.48/0.64 Here is a proof with depth 4, length 516 :
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.65 Formulae used in the proof : ax5 ax2 ax6 co1 ax4 ax3 ax1
% 0.48/0.65
%------------------------------------------------------------------------------