TSTP Solution File: ALG057+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG057+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 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 156
% Syntax : Number of clauses : 544 ( 276 unt; 135 nHn; 544 RR)
% Number of literals : 1200 ( 0 equ; 406 neg)
% Maximal clause size : 25 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 33 usr; 33 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('ALG057+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e2,e0),
file('ALG057+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e3,e0),
file('ALG057+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e4,e0),
file('ALG057+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e2,e1),
file('ALG057+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e3,e1),
file('ALG057+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e4,e1),
file('ALG057+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e3,e2),
file('ALG057+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e4,e2),
file('ALG057+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e4,e3),
file('ALG057+1.p',unknown),
[] ).
cnf(11,axiom,
equal(op(unit,e0),e0),
file('ALG057+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,unit),e0),
file('ALG057+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(unit,e1),e1),
file('ALG057+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e1,unit),e1),
file('ALG057+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(unit,e2),e2),
file('ALG057+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e2,unit),e2),
file('ALG057+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(unit,e3),e3),
file('ALG057+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e3,unit),e3),
file('ALG057+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(unit,e4),e4),
file('ALG057+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e4,unit),e4),
file('ALG057+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e2,e2),e4),
file('ALG057+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e2,op(e2,e2)),e3),
file('ALG057+1.p',unknown),
[] ).
cnf(24,axiom,
~ equal(op(e2,e0),op(e0,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(27,axiom,
~ equal(op(e2,e0),op(e1,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(28,axiom,
~ equal(op(e3,e0),op(e1,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(30,axiom,
~ equal(op(e3,e0),op(e2,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(31,axiom,
~ equal(op(e4,e0),op(e2,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(34,axiom,
~ equal(op(e2,e1),op(e0,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(35,axiom,
~ equal(op(e3,e1),op(e0,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(42,axiom,
~ equal(op(e4,e1),op(e3,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(45,axiom,
~ equal(op(e3,e2),op(e0,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(46,axiom,
~ equal(op(e4,e2),op(e0,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(47,axiom,
~ equal(op(e2,e2),op(e1,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(48,axiom,
~ equal(op(e3,e2),op(e1,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(49,axiom,
~ equal(op(e4,e2),op(e1,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(50,axiom,
~ equal(op(e3,e2),op(e2,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(51,axiom,
~ equal(op(e4,e2),op(e2,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(52,axiom,
~ equal(op(e4,e2),op(e3,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(62,axiom,
~ equal(op(e4,e3),op(e3,e3)),
file('ALG057+1.p',unknown),
[] ).
cnf(63,axiom,
~ equal(op(e1,e4),op(e0,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(64,axiom,
~ equal(op(e2,e4),op(e0,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(65,axiom,
~ equal(op(e3,e4),op(e0,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(66,axiom,
~ equal(op(e4,e4),op(e0,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(67,axiom,
~ equal(op(e2,e4),op(e1,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(68,axiom,
~ equal(op(e3,e4),op(e1,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(69,axiom,
~ equal(op(e4,e4),op(e1,e4)),
file('ALG057+1.p',unknown),
[] ).
cnf(74,axiom,
~ equal(op(e0,e2),op(e0,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(80,axiom,
~ equal(op(e0,e3),op(e0,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(84,axiom,
~ equal(op(e1,e2),op(e1,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(86,axiom,
~ equal(op(e1,e4),op(e1,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(91,axiom,
~ equal(op(e1,e4),op(e1,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(92,axiom,
~ equal(op(e1,e4),op(e1,e3)),
file('ALG057+1.p',unknown),
[] ).
cnf(94,axiom,
~ equal(op(e2,e2),op(e2,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(95,axiom,
~ equal(op(e2,e3),op(e2,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(96,axiom,
~ equal(op(e2,e4),op(e2,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(97,axiom,
~ equal(op(e2,e2),op(e2,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(99,axiom,
~ equal(op(e2,e4),op(e2,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(100,axiom,
~ equal(op(e2,e3),op(e2,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(103,axiom,
~ equal(op(e3,e1),op(e3,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(104,axiom,
~ equal(op(e3,e2),op(e3,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(105,axiom,
~ equal(op(e3,e3),op(e3,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(106,axiom,
~ equal(op(e3,e4),op(e3,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(107,axiom,
~ equal(op(e3,e2),op(e3,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(108,axiom,
~ equal(op(e3,e3),op(e3,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(110,axiom,
~ equal(op(e3,e3),op(e3,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(111,axiom,
~ equal(op(e3,e4),op(e3,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(112,axiom,
~ equal(op(e3,e4),op(e3,e3)),
file('ALG057+1.p',unknown),
[] ).
cnf(113,axiom,
~ equal(op(e4,e1),op(e4,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(114,axiom,
~ equal(op(e4,e2),op(e4,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(115,axiom,
~ equal(op(e4,e3),op(e4,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(116,axiom,
~ equal(op(e4,e4),op(e4,e0)),
file('ALG057+1.p',unknown),
[] ).
cnf(117,axiom,
~ equal(op(e4,e2),op(e4,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(118,axiom,
~ equal(op(e4,e3),op(e4,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(119,axiom,
~ equal(op(e4,e4),op(e4,e1)),
file('ALG057+1.p',unknown),
[] ).
cnf(121,axiom,
~ equal(op(e4,e4),op(e4,e2)),
file('ALG057+1.p',unknown),
[] ).
cnf(122,axiom,
~ equal(op(e4,e4),op(e4,e3)),
file('ALG057+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ skC13
| equal(op(e3,op(e1,e3)),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ skC14
| equal(op(e3,op(e2,e3)),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ skC15
| equal(op(e3,op(e3,e3)),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ skC16
| equal(op(e4,op(e0,e4)),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ skC17
| equal(op(e4,op(e1,e4)),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ skC18
| equal(op(e4,op(e2,e4)),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ skC19
| equal(op(e4,op(e3,e4)),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ skC20
| equal(op(op(e0,e0),e0),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(145,axiom,
( ~ skC22
| equal(op(op(e0,e2),e2),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ skC23
| equal(op(op(e0,e3),e3),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ skC24
| equal(op(op(e0,e4),e4),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(149,axiom,
( ~ skC26
| equal(op(op(e1,e1),e1),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ skC27
| equal(op(op(e1,e2),e2),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(151,axiom,
( ~ skC28
| equal(op(op(e1,e3),e3),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ skC29
| equal(op(op(e1,e4),e4),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ skC30
| equal(op(op(e2,e0),e0),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ skC31
| equal(op(op(e2,e1),e1),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ skC32
| equal(op(op(e2,e2),e2),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(156,axiom,
( ~ skC33
| equal(op(op(e2,e3),e3),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ skC34
| equal(op(op(e2,e4),e4),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ skC35
| equal(op(op(e3,e0),e0),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ skC37
| equal(op(op(e3,e2),e2),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ skC38
| equal(op(op(e3,e3),e3),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ skC39
| equal(op(op(e3,e4),e4),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ skC40
| equal(op(op(e4,e0),e0),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(164,axiom,
( ~ skC41
| equal(op(op(e4,e1),e1),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(165,axiom,
( ~ skC42
| equal(op(op(e4,e2),e2),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ skC43
| equal(op(op(e4,e3),e3),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(167,axiom,
equal(op(op(e2,e2),op(e2,e2)),e0),
file('ALG057+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ skC12
| ~ equal(op(e0,op(e0,e3)),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ equal(op(e3,op(e3,e3)),e3)
| ~ skC15 ),
file('ALG057+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ equal(op(op(e0,e0),e0),e0)
| ~ skC20 ),
file('ALG057+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ skC21
| ~ equal(op(e1,e0),op(e0,e1)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(193,axiom,
( ~ skC22
| ~ equal(op(op(e0,e2),e0),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ skC23
| ~ equal(op(e3,e0),op(e0,e3)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ skC24
| ~ equal(op(e4,e0),op(e0,e4)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ skC25
| ~ equal(op(e1,e0),op(e0,e1)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(201,axiom,
( ~ equal(op(op(e1,e1),e1),e1)
| ~ skC26 ),
file('ALG057+1.p',unknown),
[] ).
cnf(208,axiom,
( ~ skC30
| ~ equal(op(e2,e0),op(e0,e2)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(210,axiom,
( ~ skC31
| ~ equal(op(e2,e1),op(e1,e2)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ equal(op(op(e2,e2),e2),e2)
| ~ skC32 ),
file('ALG057+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ skC33
| ~ equal(op(e3,e2),op(e2,e3)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(218,axiom,
( ~ skC35
| ~ equal(op(e3,e0),op(e0,e3)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(220,axiom,
( ~ skC36
| ~ equal(op(e3,e1),op(e1,e3)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(221,axiom,
( ~ skC36
| ~ equal(op(op(e3,e1),e3),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(222,axiom,
( ~ skC37
| ~ equal(op(e3,e2),op(e2,e3)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(225,axiom,
( ~ equal(op(op(e3,e3),e3),e3)
| ~ skC38 ),
file('ALG057+1.p',unknown),
[] ).
cnf(228,axiom,
( ~ skC40
| ~ equal(op(e4,e0),op(e0,e4)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(230,axiom,
( ~ skC41
| ~ equal(op(e4,e1),op(e1,e4)) ),
file('ALG057+1.p',unknown),
[] ).
cnf(239,axiom,
( equal(op(e3,op(e4,e3)),e4)
| skC12
| skC13
| skC14
| skC15 ),
file('ALG057+1.p',unknown),
[] ).
cnf(240,axiom,
( equal(op(e4,op(e4,e4)),e4)
| skC16
| skC17
| skC18
| skC19 ),
file('ALG057+1.p',unknown),
[] ).
cnf(241,axiom,
equal(op(op(e2,op(e2,e2)),op(e2,e2)),e1),
file('ALG057+1.p',unknown),
[] ).
cnf(246,axiom,
( ~ equal(op(e4,op(e4,e4)),e4)
| skC16
| skC17
| skC18
| skC19 ),
file('ALG057+1.p',unknown),
[] ).
cnf(247,axiom,
( equal(e4,unit)
| equal(e3,unit)
| equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
file('ALG057+1.p',unknown),
[] ).
cnf(253,axiom,
( equal(op(e4,e0),e2)
| equal(op(e4,e1),e2)
| equal(op(e4,e2),e2)
| equal(op(e4,e3),e2)
| equal(op(e4,e4),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(258,axiom,
( equal(op(e0,e3),e4)
| equal(op(e1,e3),e4)
| equal(op(e2,e3),e4)
| equal(op(e3,e3),e4)
| equal(op(e4,e3),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(264,axiom,
( equal(op(e0,e3),e1)
| equal(op(e1,e3),e1)
| equal(op(e2,e3),e1)
| equal(op(e3,e3),e1)
| equal(op(e4,e3),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(266,axiom,
( equal(op(e0,e3),e0)
| equal(op(e1,e3),e0)
| equal(op(e2,e3),e0)
| equal(op(e3,e3),e0)
| equal(op(e4,e3),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(270,axiom,
( equal(op(e0,e2),e3)
| equal(op(e1,e2),e3)
| equal(op(e2,e2),e3)
| equal(op(e3,e2),e3)
| equal(op(e4,e2),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(272,axiom,
( equal(op(e0,e2),e2)
| equal(op(e1,e2),e2)
| equal(op(e2,e2),e2)
| equal(op(e3,e2),e2)
| equal(op(e4,e2),e2) ),
file('ALG057+1.p',unknown),
[] ).
cnf(274,axiom,
( equal(op(e0,e2),e1)
| equal(op(e1,e2),e1)
| equal(op(e2,e2),e1)
| equal(op(e3,e2),e1)
| equal(op(e4,e2),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(275,axiom,
( equal(op(e2,e0),e1)
| equal(op(e2,e1),e1)
| equal(op(e2,e2),e1)
| equal(op(e2,e3),e1)
| equal(op(e2,e4),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(277,axiom,
( equal(op(e2,e0),e0)
| equal(op(e2,e1),e0)
| equal(op(e2,e2),e0)
| equal(op(e2,e3),e0)
| equal(op(e2,e4),e0) ),
file('ALG057+1.p',unknown),
[] ).
cnf(278,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('ALG057+1.p',unknown),
[] ).
cnf(280,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('ALG057+1.p',unknown),
[] ).
cnf(288,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('ALG057+1.p',unknown),
[] ).
cnf(290,axiom,
( equal(op(e0,e0),e3)
| equal(op(e1,e0),e3)
| equal(op(e2,e0),e3)
| equal(op(e3,e0),e3)
| equal(op(e4,e0),e3) ),
file('ALG057+1.p',unknown),
[] ).
cnf(294,axiom,
( equal(op(e0,e0),e1)
| equal(op(e1,e0),e1)
| equal(op(e2,e0),e1)
| equal(op(e3,e0),e1)
| equal(op(e4,e0),e1) ),
file('ALG057+1.p',unknown),
[] ).
cnf(295,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('ALG057+1.p',unknown),
[] ).
cnf(300,axiom,
( equal(op(e4,e2),e0)
| equal(op(e4,e2),e1)
| equal(op(e4,e2),e2)
| equal(op(e4,e2),e3)
| equal(op(e4,e2),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(301,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('ALG057+1.p',unknown),
[] ).
cnf(302,axiom,
( equal(op(e4,e0),e0)
| equal(op(e4,e0),e1)
| equal(op(e4,e0),e2)
| equal(op(e4,e0),e3)
| equal(op(e4,e0),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(304,axiom,
( equal(op(e3,e3),e0)
| equal(op(e3,e3),e1)
| equal(op(e3,e3),e2)
| equal(op(e3,e3),e3)
| equal(op(e3,e3),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(305,axiom,
( equal(op(e3,e2),e0)
| equal(op(e3,e2),e1)
| equal(op(e3,e2),e2)
| equal(op(e3,e2),e3)
| equal(op(e3,e2),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(307,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('ALG057+1.p',unknown),
[] ).
cnf(312,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('ALG057+1.p',unknown),
[] ).
cnf(313,axiom,
( equal(op(e1,e4),e0)
| equal(op(e1,e4),e1)
| equal(op(e1,e4),e2)
| equal(op(e1,e4),e3)
| equal(op(e1,e4),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(318,axiom,
( equal(op(e0,e4),e0)
| equal(op(e0,e4),e1)
| equal(op(e0,e4),e2)
| equal(op(e0,e4),e3)
| equal(op(e0,e4),e4) ),
file('ALG057+1.p',unknown),
[] ).
cnf(323,axiom,
( equal(op(op(e4,e4),e4),e4)
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29
| skC30
| skC31
| skC32
| skC33
| skC34
| skC35
| skC36
| skC37
| skC38
| skC39
| skC40
| skC41
| skC42
| skC43 ),
file('ALG057+1.p',unknown),
[] ).
cnf(324,axiom,
( ~ equal(op(op(e4,e4),e4),e4)
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29
| skC30
| skC31
| skC32
| skC33
| skC34
| skC35
| skC36
| skC37
| skC38
| skC39
| skC40
| skC41
| skC42
| skC43 ),
file('ALG057+1.p',unknown),
[] ).
cnf(326,plain,
equal(op(e2,e4),e3),
inference(rew,[status(thm),theory(equality)],[21,22]),
[iquote('0:Rew:21.0,22.0')] ).
cnf(329,plain,
~ equal(op(e2,e3),e4),
inference(rew,[status(thm),theory(equality)],[21,100]),
[iquote('0:Rew:21.0,100.0')] ).
cnf(330,plain,
~ equal(op(e2,e1),e3),
inference(rew,[status(thm),theory(equality)],[326,99]),
[iquote('0:Rew:326.0,99.0')] ).
cnf(331,plain,
~ equal(op(e2,e1),e4),
inference(rew,[status(thm),theory(equality)],[21,97]),
[iquote('0:Rew:21.0,97.0')] ).
cnf(332,plain,
~ equal(op(e2,e0),e3),
inference(rew,[status(thm),theory(equality)],[326,96]),
[iquote('0:Rew:326.0,96.0')] ).
cnf(333,plain,
~ equal(op(e2,e0),e4),
inference(rew,[status(thm),theory(equality)],[21,94]),
[iquote('0:Rew:21.0,94.0')] ).
cnf(336,plain,
~ equal(op(e1,e4),e3),
inference(rew,[status(thm),theory(equality)],[326,67]),
[iquote('0:Rew:326.0,67.0')] ).
cnf(337,plain,
~ equal(op(e0,e4),e3),
inference(rew,[status(thm),theory(equality)],[326,64]),
[iquote('0:Rew:326.0,64.0')] ).
cnf(338,plain,
~ equal(op(e4,e2),e4),
inference(rew,[status(thm),theory(equality)],[21,51]),
[iquote('0:Rew:21.0,51.0')] ).
cnf(339,plain,
~ equal(op(e3,e2),e4),
inference(rew,[status(thm),theory(equality)],[21,50]),
[iquote('0:Rew:21.0,50.0')] ).
cnf(340,plain,
~ equal(op(e1,e2),e4),
inference(rew,[status(thm),theory(equality)],[21,47]),
[iquote('0:Rew:21.0,47.0')] ).
cnf(342,plain,
equal(op(e4,e4),e0),
inference(rew,[status(thm),theory(equality)],[21,167]),
[iquote('0:Rew:21.0,167.0')] ).
cnf(343,plain,
~ equal(op(e4,e3),e0),
inference(rew,[status(thm),theory(equality)],[342,122]),
[iquote('0:Rew:342.0,122.0')] ).
cnf(344,plain,
~ equal(op(e4,e2),e0),
inference(rew,[status(thm),theory(equality)],[342,121]),
[iquote('0:Rew:342.0,121.0')] ).
cnf(345,plain,
~ equal(op(e4,e1),e0),
inference(rew,[status(thm),theory(equality)],[342,119]),
[iquote('0:Rew:342.0,119.0')] ).
cnf(346,plain,
~ equal(op(e4,e0),e0),
inference(rew,[status(thm),theory(equality)],[342,116]),
[iquote('0:Rew:342.0,116.0')] ).
cnf(349,plain,
~ equal(op(e1,e4),e0),
inference(rew,[status(thm),theory(equality)],[342,69]),
[iquote('0:Rew:342.0,69.0')] ).
cnf(350,plain,
~ equal(op(e0,e4),e0),
inference(rew,[status(thm),theory(equality)],[342,66]),
[iquote('0:Rew:342.0,66.0')] ).
cnf(351,plain,
( ~ skC34
| equal(op(e3,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[326,157]),
[iquote('0:Rew:326.0,157.1')] ).
cnf(352,plain,
( ~ skC32
| equal(op(e4,e2),e2) ),
inference(rew,[status(thm),theory(equality)],[21,155]),
[iquote('0:Rew:21.0,155.1')] ).
cnf(353,plain,
( ~ skC18
| equal(op(e4,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[326,141]),
[iquote('0:Rew:326.0,141.1')] ).
cnf(357,plain,
( ~ equal(e3,e3)
| ~ skC38 ),
inference(rew,[status(thm),theory(equality)],[161,225]),
[iquote('0:Rew:161.1,225.0')] ).
cnf(358,plain,
~ skC38,
inference(obv,[status(thm),theory(equality)],[357]),
[iquote('0:Obv:357.0')] ).
cnf(362,plain,
( ~ equal(e2,e2)
| ~ skC32 ),
inference(rew,[status(thm),theory(equality)],[352,213,21]),
[iquote('0:Rew:352.1,213.0,21.0,213.0')] ).
cnf(363,plain,
~ skC32,
inference(obv,[status(thm),theory(equality)],[362]),
[iquote('0:Obv:362.0')] ).
cnf(365,plain,
( ~ equal(e1,e1)
| ~ skC26 ),
inference(rew,[status(thm),theory(equality)],[149,201]),
[iquote('0:Rew:149.1,201.0')] ).
cnf(366,plain,
~ skC26,
inference(obv,[status(thm),theory(equality)],[365]),
[iquote('0:Obv:365.0')] ).
cnf(368,plain,
( ~ equal(e0,e0)
| ~ skC20 ),
inference(rew,[status(thm),theory(equality)],[143,189]),
[iquote('0:Rew:143.1,189.0')] ).
cnf(369,plain,
~ skC20,
inference(obv,[status(thm),theory(equality)],[368]),
[iquote('0:Obv:368.0')] ).
cnf(372,plain,
( ~ equal(e3,e3)
| ~ skC15 ),
inference(rew,[status(thm),theory(equality)],[138,183]),
[iquote('0:Rew:138.1,183.0')] ).
cnf(373,plain,
~ skC15,
inference(obv,[status(thm),theory(equality)],[372]),
[iquote('0:Obv:372.0')] ).
cnf(378,plain,
equal(op(e3,e4),e1),
inference(rew,[status(thm),theory(equality)],[326,241,21]),
[iquote('0:Rew:326.0,241.0,21.0,241.0')] ).
cnf(379,plain,
~ equal(op(e3,e3),e1),
inference(rew,[status(thm),theory(equality)],[378,112]),
[iquote('0:Rew:378.0,112.0')] ).
cnf(380,plain,
~ equal(op(e3,e2),e1),
inference(rew,[status(thm),theory(equality)],[378,111]),
[iquote('0:Rew:378.0,111.0')] ).
cnf(382,plain,
~ equal(op(e3,e0),e1),
inference(rew,[status(thm),theory(equality)],[378,106]),
[iquote('0:Rew:378.0,106.0')] ).
cnf(384,plain,
~ equal(op(e1,e4),e1),
inference(rew,[status(thm),theory(equality)],[378,68]),
[iquote('0:Rew:378.0,68.0')] ).
cnf(385,plain,
~ equal(op(e0,e4),e1),
inference(rew,[status(thm),theory(equality)],[378,65]),
[iquote('0:Rew:378.0,65.0')] ).
cnf(387,plain,
( ~ skC39
| equal(op(e1,e4),e3) ),
inference(rew,[status(thm),theory(equality)],[378,162]),
[iquote('0:Rew:378.0,162.1')] ).
cnf(388,plain,
( ~ skC34
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[378,351]),
[iquote('0:Rew:378.0,351.1')] ).
cnf(389,plain,
( ~ skC19
| equal(op(e4,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[378,142]),
[iquote('0:Rew:378.0,142.1')] ).
cnf(394,plain,
~ skC34,
inference(mrr,[status(thm)],[388,5]),
[iquote('0:MRR:388.1,5.0')] ).
cnf(395,plain,
~ skC39,
inference(mrr,[status(thm)],[387,336]),
[iquote('0:MRR:387.1,336.0')] ).
cnf(396,plain,
( equal(op(e4,e0),e4)
| skC16
| skC17
| skC18
| skC19 ),
inference(rew,[status(thm),theory(equality)],[342,240]),
[iquote('0:Rew:342.0,240.0')] ).
cnf(397,plain,
( skC14
| skC13
| skC12
| equal(op(e3,op(e4,e3)),e4) ),
inference(mrr,[status(thm)],[239,373]),
[iquote('0:MRR:239.4,373.0')] ).
cnf(401,plain,
( ~ equal(e4,e4)
| skC16
| skC17
| skC18
| skC19 ),
inference(rew,[status(thm),theory(equality)],[396,246,342]),
[iquote('0:Rew:396.0,246.0,342.0,246.0')] ).
cnf(402,plain,
( skC19
| skC18
| skC17
| skC16 ),
inference(obv,[status(thm),theory(equality)],[401]),
[iquote('0:Obv:401.0')] ).
cnf(415,plain,
( equal(op(e4,e0),e2)
| equal(op(e4,e1),e2)
| equal(op(e4,e2),e2)
| equal(op(e4,e3),e2)
| equal(e2,e0) ),
inference(rew,[status(thm),theory(equality)],[342,253]),
[iquote('0:Rew:342.0,253.4')] ).
cnf(416,plain,
( equal(op(e4,e2),e2)
| equal(op(e4,e3),e2)
| equal(op(e4,e1),e2)
| equal(op(e4,e0),e2) ),
inference(mrr,[status(thm)],[415,2]),
[iquote('0:MRR:415.4,2.0')] ).
cnf(419,plain,
( equal(op(e4,e3),e4)
| equal(op(e3,e3),e4)
| equal(op(e1,e3),e4)
| equal(op(e0,e3),e4) ),
inference(mrr,[status(thm)],[258,329]),
[iquote('0:MRR:258.2,329.0')] ).
cnf(427,plain,
( equal(op(e1,e3),e1)
| equal(op(e4,e3),e1)
| equal(op(e2,e3),e1)
| equal(op(e0,e3),e1) ),
inference(mrr,[status(thm)],[264,379]),
[iquote('0:MRR:264.3,379.0')] ).
cnf(428,plain,
( equal(op(e3,e3),e0)
| equal(op(e0,e3),e0)
| equal(op(e2,e3),e0)
| equal(op(e1,e3),e0) ),
inference(mrr,[status(thm)],[266,343]),
[iquote('0:MRR:266.4,343.0')] ).
cnf(431,plain,
( equal(op(e0,e2),e3)
| equal(op(e1,e2),e3)
| equal(e4,e3)
| equal(op(e3,e2),e3)
| equal(op(e4,e2),e3) ),
inference(rew,[status(thm),theory(equality)],[21,270]),
[iquote('0:Rew:21.0,270.2')] ).
cnf(432,plain,
( equal(op(e3,e2),e3)
| equal(op(e4,e2),e3)
| equal(op(e1,e2),e3)
| equal(op(e0,e2),e3) ),
inference(mrr,[status(thm)],[431,10]),
[iquote('0:MRR:431.2,10.0')] ).
cnf(433,plain,
( equal(op(e0,e2),e2)
| equal(op(e1,e2),e2)
| equal(e4,e2)
| equal(op(e3,e2),e2)
| equal(op(e4,e2),e2) ),
inference(rew,[status(thm),theory(equality)],[21,272]),
[iquote('0:Rew:21.0,272.2')] ).
cnf(434,plain,
( equal(op(e4,e2),e2)
| equal(op(e3,e2),e2)
| equal(op(e1,e2),e2)
| equal(op(e0,e2),e2) ),
inference(mrr,[status(thm)],[433,9]),
[iquote('0:MRR:433.2,9.0')] ).
cnf(437,plain,
( equal(op(e0,e2),e1)
| equal(op(e1,e2),e1)
| equal(e4,e1)
| equal(op(e3,e2),e1)
| equal(op(e4,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[21,274]),
[iquote('0:Rew:21.0,274.2')] ).
cnf(438,plain,
( equal(op(e1,e2),e1)
| equal(op(e4,e2),e1)
| equal(op(e0,e2),e1) ),
inference(mrr,[status(thm)],[437,7,380]),
[iquote('0:MRR:437.2,437.3,7.0,380.0')] ).
cnf(439,plain,
( equal(op(e2,e0),e1)
| equal(op(e2,e1),e1)
| equal(e4,e1)
| equal(op(e2,e3),e1)
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[326,275,21]),
[iquote('0:Rew:326.0,275.4,21.0,275.2')] ).
cnf(440,plain,
( equal(op(e2,e1),e1)
| equal(op(e2,e3),e1)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[439,7,6]),
[iquote('0:MRR:439.2,439.4,7.0,6.0')] ).
cnf(443,plain,
( equal(op(e2,e0),e0)
| equal(op(e2,e1),e0)
| equal(e4,e0)
| equal(op(e2,e3),e0)
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[326,277,21]),
[iquote('0:Rew:326.0,277.4,21.0,277.2')] ).
cnf(444,plain,
( equal(op(e2,e0),e0)
| equal(op(e2,e3),e0)
| equal(op(e2,e1),e0) ),
inference(mrr,[status(thm)],[443,4,3]),
[iquote('0:MRR:443.2,443.4,4.0,3.0')] ).
cnf(445,plain,
( equal(op(e4,e1),e4)
| equal(op(e1,e1),e4)
| equal(op(e3,e1),e4)
| equal(op(e0,e1),e4) ),
inference(mrr,[status(thm)],[278,331]),
[iquote('0:MRR:278.2,331.0')] ).
cnf(447,plain,
( equal(op(e3,e1),e3)
| equal(op(e1,e1),e3)
| equal(op(e4,e1),e3)
| equal(op(e0,e1),e3) ),
inference(mrr,[status(thm)],[280,330]),
[iquote('0:MRR:280.2,330.0')] ).
cnf(453,plain,
( equal(op(e4,e0),e4)
| equal(op(e0,e0),e4)
| equal(op(e3,e0),e4)
| equal(op(e1,e0),e4) ),
inference(mrr,[status(thm)],[288,333]),
[iquote('0:MRR:288.2,333.0')] ).
cnf(455,plain,
( equal(op(e3,e0),e3)
| equal(op(e0,e0),e3)
| equal(op(e4,e0),e3)
| equal(op(e1,e0),e3) ),
inference(mrr,[status(thm)],[290,332]),
[iquote('0:MRR:290.2,332.0')] ).
cnf(457,plain,
( equal(op(e1,e0),e1)
| equal(op(e0,e0),e1)
| equal(op(e4,e0),e1)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[294,382]),
[iquote('0:MRR:294.3,382.0')] ).
cnf(458,plain,
( equal(op(e0,e1),e1)
| equal(op(e0,e0),e1)
| equal(op(e0,e3),e1)
| equal(op(e0,e2),e1) ),
inference(mrr,[status(thm)],[295,385]),
[iquote('0:MRR:295.4,385.0')] ).
cnf(462,plain,
( equal(op(e4,e2),e2)
| equal(op(e4,e2),e3)
| equal(op(e4,e2),e1) ),
inference(mrr,[status(thm)],[300,344,338]),
[iquote('0:MRR:300.0,300.4,344.0,338.0')] ).
cnf(463,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)],[301,345]),
[iquote('0:MRR:301.0,345.0')] ).
cnf(464,plain,
( equal(op(e4,e0),e4)
| equal(op(e4,e0),e3)
| equal(op(e4,e0),e2)
| equal(op(e4,e0),e1) ),
inference(mrr,[status(thm)],[302,346]),
[iquote('0:MRR:302.0,346.0')] ).
cnf(465,plain,
( equal(op(e3,e3),e3)
| equal(op(e3,e3),e4)
| equal(op(e3,e3),e2)
| equal(op(e3,e3),e0) ),
inference(mrr,[status(thm)],[304,379]),
[iquote('0:MRR:304.1,379.0')] ).
cnf(466,plain,
( equal(op(e3,e2),e3)
| equal(op(e3,e2),e2)
| equal(op(e3,e2),e0) ),
inference(mrr,[status(thm)],[305,380,339]),
[iquote('0:MRR:305.1,305.4,380.0,339.0')] ).
cnf(468,plain,
( equal(op(e3,e0),e3)
| equal(op(e3,e0),e0)
| equal(op(e3,e0),e4)
| equal(op(e3,e0),e2) ),
inference(mrr,[status(thm)],[307,382]),
[iquote('0:MRR:307.1,382.0')] ).
cnf(471,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e0)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[312,332,333]),
[iquote('0:MRR:312.3,312.4,332.0,333.0')] ).
cnf(472,plain,
( equal(op(e1,e4),e4)
| equal(op(e1,e4),e2) ),
inference(mrr,[status(thm)],[313,349,384,336]),
[iquote('0:MRR:313.0,313.1,313.3,349.0,384.0,336.0')] ).
cnf(474,plain,
( equal(op(e0,e4),e4)
| equal(op(e0,e4),e2) ),
inference(mrr,[status(thm)],[318,350,385,337]),
[iquote('0:MRR:318.0,318.1,318.3,350.0,385.0,337.0')] ).
cnf(476,plain,
( equal(op(e0,e4),e4)
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29
| skC30
| skC31
| skC32
| skC33
| skC34
| skC35
| skC36
| skC37
| skC38
| skC39
| skC40
| skC41
| skC42
| skC43 ),
inference(rew,[status(thm),theory(equality)],[342,323]),
[iquote('0:Rew:342.0,323.0')] ).
cnf(477,plain,
( equal(op(e0,e4),e4)
| skC21
| skC22
| skC23
| skC24
| skC25
| skC27
| skC28
| skC29
| skC30
| skC31
| skC33
| skC35
| skC36
| skC37
| skC40
| skC41
| skC42
| skC43 ),
inference(mrr,[status(thm)],[476,369,366,363,394,358,395]),
[iquote('0:MRR:476.1,476.7,476.13,476.15,476.19,476.20,369.0,366.0,363.0,394.0,358.0,395.0')] ).
cnf(478,plain,
( ~ equal(e4,e4)
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29
| skC30
| skC31
| skC32
| skC33
| skC34
| skC35
| skC36
| skC37
| skC38
| skC39
| skC40
| skC41
| skC42
| skC43 ),
inference(rew,[status(thm),theory(equality)],[477,324,342]),
[iquote('0:Rew:477.0,324.0,342.0,324.0')] ).
cnf(479,plain,
( skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29
| skC30
| skC31
| skC32
| skC33
| skC34
| skC35
| skC36
| skC37
| skC38
| skC39
| skC40
| skC41
| skC42
| skC43 ),
inference(obv,[status(thm),theory(equality)],[478]),
[iquote('0:Obv:478.0')] ).
cnf(480,plain,
( skC43
| skC42
| skC41
| skC40
| skC37
| skC36
| skC35
| skC33
| skC31
| skC30
| skC29
| skC28
| skC27
| skC25
| skC24
| skC23
| skC22
| skC21 ),
inference(mrr,[status(thm)],[479,369,366,363,394,358,395]),
[iquote('0:MRR:479.0,479.6,479.12,479.14,479.18,479.19,369.0,366.0,363.0,394.0,358.0,395.0')] ).
cnf(482,plain,
equal(e1,unit),
inference(spt,[spt(split,[position(s1)])],[247]),
[iquote('1:Spt:247.3')] ).
cnf(486,plain,
( ~ skC19
| equal(op(e4,unit),e3) ),
inference(rew,[status(thm),theory(equality)],[482,389]),
[iquote('1:Rew:482.0,389.1')] ).
cnf(494,plain,
~ equal(op(e4,e0),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[482,113]),
[iquote('1:Rew:482.0,113.0')] ).
cnf(502,plain,
~ equal(op(e3,e3),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[482,108]),
[iquote('1:Rew:482.0,108.0')] ).
cnf(503,plain,
~ equal(op(e3,e2),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[482,107]),
[iquote('1:Rew:482.0,107.0')] ).
cnf(504,plain,
~ equal(op(e3,e0),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[482,103]),
[iquote('1:Rew:482.0,103.0')] ).
cnf(508,plain,
( equal(op(e2,e0),e0)
| equal(op(e2,e3),e0)
| equal(op(e2,unit),e0) ),
inference(rew,[status(thm),theory(equality)],[482,444]),
[iquote('1:Rew:482.0,444.2')] ).
cnf(516,plain,
( ~ skC36
| ~ equal(op(e3,unit),op(unit,e3)) ),
inference(rew,[status(thm),theory(equality)],[482,220]),
[iquote('1:Rew:482.0,220.1')] ).
cnf(531,plain,
( ~ skC41
| ~ equal(op(e4,unit),op(unit,e4)) ),
inference(rew,[status(thm),theory(equality)],[482,230]),
[iquote('1:Rew:482.0,230.1')] ).
cnf(538,plain,
~ equal(op(e0,e4),op(unit,e4)),
inference(rew,[status(thm),theory(equality)],[482,63]),
[iquote('1:Rew:482.0,63.0')] ).
cnf(540,plain,
( ~ skC31
| ~ equal(op(e2,unit),op(unit,e2)) ),
inference(rew,[status(thm),theory(equality)],[482,210]),
[iquote('1:Rew:482.0,210.1')] ).
cnf(541,plain,
( equal(op(e3,e2),e3)
| equal(op(e4,e2),e3)
| equal(op(unit,e2),e3)
| equal(op(e0,e2),e3) ),
inference(rew,[status(thm),theory(equality)],[482,432]),
[iquote('1:Rew:482.0,432.2')] ).
cnf(548,plain,
~ equal(op(e4,e2),op(unit,e2)),
inference(rew,[status(thm),theory(equality)],[482,49]),
[iquote('1:Rew:482.0,49.0')] ).
cnf(549,plain,
~ equal(op(e3,e2),op(unit,e2)),
inference(rew,[status(thm),theory(equality)],[482,48]),
[iquote('1:Rew:482.0,48.0')] ).
cnf(559,plain,
( equal(op(e4,e0),e4)
| equal(op(e0,e0),e4)
| equal(op(e3,e0),e4)
| equal(op(unit,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[482,453]),
[iquote('1:Rew:482.0,453.3')] ).
cnf(560,plain,
( equal(op(e3,e0),e3)
| equal(op(e0,e0),e3)
| equal(op(e4,e0),e3)
| equal(op(unit,e0),e3) ),
inference(rew,[status(thm),theory(equality)],[482,455]),
[iquote('1:Rew:482.0,455.3')] ).
cnf(568,plain,
~ equal(op(e3,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[482,28]),
[iquote('1:Rew:482.0,28.0')] ).
cnf(569,plain,
~ equal(op(e2,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[482,27]),
[iquote('1:Rew:482.0,27.0')] ).
cnf(571,plain,
( ~ skC21
| ~ equal(op(e0,unit),op(unit,e0)) ),
inference(rew,[status(thm),theory(equality)],[482,190]),
[iquote('1:Rew:482.0,190.1')] ).
cnf(572,plain,
( ~ skC25
| ~ equal(op(e0,unit),op(unit,e0)) ),
inference(rew,[status(thm),theory(equality)],[482,198]),
[iquote('1:Rew:482.0,198.1')] ).
cnf(587,plain,
( equal(op(e1,e3),e1)
| equal(op(e4,e3),unit)
| equal(op(e2,e3),e1)
| equal(op(e0,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[482,427]),
[iquote('1:Rew:482.0,427.1')] ).
cnf(593,plain,
( equal(op(e4,e2),e2)
| equal(op(e4,e2),e3)
| equal(op(e4,e2),unit) ),
inference(rew,[status(thm),theory(equality)],[482,462]),
[iquote('1:Rew:482.0,462.2')] ).
cnf(599,plain,
( equal(op(e2,e1),e1)
| equal(op(e2,e3),unit)
| equal(op(e2,e0),e1) ),
inference(rew,[status(thm),theory(equality)],[482,440]),
[iquote('1:Rew:482.0,440.1')] ).
cnf(603,plain,
~ equal(e4,unit),
inference(rew,[status(thm),theory(equality)],[482,7]),
[iquote('1:Rew:482.0,7.0')] ).
cnf(604,plain,
~ equal(e3,unit),
inference(rew,[status(thm),theory(equality)],[482,6]),
[iquote('1:Rew:482.0,6.0')] ).
cnf(605,plain,
~ equal(e2,unit),
inference(rew,[status(thm),theory(equality)],[482,5]),
[iquote('1:Rew:482.0,5.0')] ).
cnf(606,plain,
~ equal(e0,unit),
inference(rew,[status(thm),theory(equality)],[482,1]),
[iquote('1:Rew:482.0,1.0')] ).
cnf(610,plain,
~ equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[482,379]),
[iquote('1:Rew:482.0,379.0')] ).
cnf(619,plain,
( ~ skC29
| equal(op(op(unit,e4),e4),unit) ),
inference(rew,[status(thm),theory(equality)],[482,152]),
[iquote('1:Rew:482.0,152.1')] ).
cnf(620,plain,
( ~ skC28
| equal(op(op(unit,e3),e3),unit) ),
inference(rew,[status(thm),theory(equality)],[482,151]),
[iquote('1:Rew:482.0,151.1')] ).
cnf(621,plain,
( ~ skC27
| equal(op(op(unit,e2),e2),unit) ),
inference(rew,[status(thm),theory(equality)],[482,150]),
[iquote('1:Rew:482.0,150.1')] ).
cnf(624,plain,
( ~ skC17
| equal(op(e4,op(unit,e4)),unit) ),
inference(rew,[status(thm),theory(equality)],[482,140]),
[iquote('1:Rew:482.0,140.1')] ).
cnf(656,plain,
( ~ skC19
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[20,486]),
[iquote('1:Rew:20.0,486.1')] ).
cnf(657,plain,
~ skC19,
inference(mrr,[status(thm)],[656,10]),
[iquote('1:MRR:656.1,10.0')] ).
cnf(658,plain,
( skC18
| skC17
| skC16 ),
inference(mrr,[status(thm)],[402,657]),
[iquote('1:MRR:402.0,657.0')] ).
cnf(661,plain,
~ equal(op(e4,e0),e4),
inference(rew,[status(thm),theory(equality)],[20,494]),
[iquote('1:Rew:20.0,494.0')] ).
cnf(662,plain,
~ equal(op(e3,e3),e3),
inference(rew,[status(thm),theory(equality)],[18,502]),
[iquote('1:Rew:18.0,502.0')] ).
cnf(663,plain,
( equal(op(e3,e3),e4)
| equal(op(e3,e3),e2)
| equal(op(e3,e3),e0) ),
inference(mrr,[status(thm)],[465,662]),
[iquote('1:MRR:465.0,662.0')] ).
cnf(664,plain,
~ equal(op(e3,e2),e3),
inference(rew,[status(thm),theory(equality)],[18,503]),
[iquote('1:Rew:18.0,503.0')] ).
cnf(665,plain,
( equal(op(e3,e2),e2)
| equal(op(e3,e2),e0) ),
inference(mrr,[status(thm)],[466,664]),
[iquote('1:MRR:466.0,664.0')] ).
cnf(666,plain,
~ equal(op(e3,e0),e3),
inference(rew,[status(thm),theory(equality)],[18,504]),
[iquote('1:Rew:18.0,504.0')] ).
cnf(667,plain,
( equal(op(e3,e0),e0)
| equal(op(e3,e0),e4)
| equal(op(e3,e0),e2) ),
inference(mrr,[status(thm)],[468,666]),
[iquote('1:MRR:468.0,666.0')] ).
cnf(678,plain,
~ equal(op(e0,e4),e4),
inference(rew,[status(thm),theory(equality)],[19,538]),
[iquote('1:Rew:19.0,538.0')] ).
cnf(679,plain,
equal(op(e0,e4),e2),
inference(mrr,[status(thm)],[474,678]),
[iquote('1:MRR:474.0,678.0')] ).
cnf(687,plain,
( ~ skC24
| equal(op(e2,e4),e0) ),
inference(rew,[status(thm),theory(equality)],[679,147]),
[iquote('1:Rew:679.0,147.1')] ).
cnf(688,plain,
( ~ skC16
| equal(op(e4,e2),e0) ),
inference(rew,[status(thm),theory(equality)],[679,139]),
[iquote('1:Rew:679.0,139.1')] ).
cnf(693,plain,
( ~ skC24
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[326,687]),
[iquote('1:Rew:326.0,687.1')] ).
cnf(694,plain,
~ skC24,
inference(mrr,[status(thm)],[693,3]),
[iquote('1:MRR:693.1,3.0')] ).
cnf(695,plain,
( skC43
| skC42
| skC41
| skC40
| skC37
| skC36
| skC35
| skC33
| skC31
| skC30
| skC29
| skC28
| skC27
| skC25
| skC23
| skC22
| skC21 ),
inference(mrr,[status(thm)],[480,694]),
[iquote('1:MRR:480.14,694.0')] ).
cnf(696,plain,
~ skC16,
inference(mrr,[status(thm)],[688,344]),
[iquote('1:MRR:688.1,344.0')] ).
cnf(697,plain,
( skC18
| skC17 ),
inference(mrr,[status(thm)],[658,696]),
[iquote('1:MRR:658.2,696.0')] ).
cnf(700,plain,
~ equal(op(e4,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,548]),
[iquote('1:Rew:15.0,548.0')] ).
cnf(701,plain,
~ equal(op(e3,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,549]),
[iquote('1:Rew:15.0,549.0')] ).
cnf(714,plain,
~ equal(op(e3,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,568]),
[iquote('1:Rew:11.0,568.0')] ).
cnf(715,plain,
~ equal(op(e2,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,569]),
[iquote('1:Rew:11.0,569.0')] ).
cnf(728,plain,
( ~ skC29
| equal(e0,unit) ),
inference(rew,[status(thm),theory(equality)],[342,619,19]),
[iquote('1:Rew:342.0,619.1,19.0,619.1')] ).
cnf(729,plain,
~ skC29,
inference(mrr,[status(thm)],[728,606]),
[iquote('1:MRR:728.1,606.0')] ).
cnf(730,plain,
( ~ skC28
| equal(op(e3,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[17,620]),
[iquote('1:Rew:17.0,620.1')] ).
cnf(731,plain,
~ skC28,
inference(mrr,[status(thm)],[730,610]),
[iquote('1:MRR:730.1,610.0')] ).
cnf(732,plain,
( ~ skC27
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[21,621,15]),
[iquote('1:Rew:21.0,621.1,15.0,621.1')] ).
cnf(733,plain,
~ skC27,
inference(mrr,[status(thm)],[732,603]),
[iquote('1:MRR:732.1,603.0')] ).
cnf(736,plain,
( ~ skC17
| equal(e0,unit) ),
inference(rew,[status(thm),theory(equality)],[342,624,19]),
[iquote('1:Rew:342.0,624.1,19.0,624.1')] ).
cnf(737,plain,
~ skC17,
inference(mrr,[status(thm)],[736,606]),
[iquote('1:MRR:736.1,606.0')] ).
cnf(738,plain,
skC18,
inference(mrr,[status(thm)],[697,737]),
[iquote('1:MRR:697.1,737.0')] ).
cnf(739,plain,
equal(op(e4,e3),e2),
inference(mrr,[status(thm)],[353,738]),
[iquote('1:MRR:353.0,738.0')] ).
cnf(743,plain,
~ equal(op(e3,e3),e2),
inference(rew,[status(thm),theory(equality)],[739,62]),
[iquote('1:Rew:739.0,62.0')] ).
cnf(746,plain,
( ~ skC43
| equal(op(e2,e3),e4) ),
inference(rew,[status(thm),theory(equality)],[739,166]),
[iquote('1:Rew:739.0,166.1')] ).
cnf(753,plain,
~ skC43,
inference(mrr,[status(thm)],[746,329]),
[iquote('1:MRR:746.1,329.0')] ).
cnf(766,plain,
( ~ skC36
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[18,516,17]),
[iquote('1:Rew:18.0,516.1,17.0,516.1')] ).
cnf(767,plain,
~ skC36,
inference(obv,[status(thm),theory(equality)],[766]),
[iquote('1:Obv:766.1')] ).
cnf(768,plain,
( ~ skC41
| ~ equal(e4,e4) ),
inference(rew,[status(thm),theory(equality)],[20,531,19]),
[iquote('1:Rew:20.0,531.1,19.0,531.1')] ).
cnf(769,plain,
~ skC41,
inference(obv,[status(thm),theory(equality)],[768]),
[iquote('1:Obv:768.1')] ).
cnf(770,plain,
( ~ skC31
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,540,15]),
[iquote('1:Rew:16.0,540.1,15.0,540.1')] ).
cnf(771,plain,
~ skC31,
inference(obv,[status(thm),theory(equality)],[770]),
[iquote('1:Obv:770.1')] ).
cnf(772,plain,
( ~ skC21
| ~ equal(e0,e0) ),
inference(rew,[status(thm),theory(equality)],[12,571,11]),
[iquote('1:Rew:12.0,571.1,11.0,571.1')] ).
cnf(773,plain,
~ skC21,
inference(obv,[status(thm),theory(equality)],[772]),
[iquote('1:Obv:772.1')] ).
cnf(774,plain,
( ~ skC25
| ~ equal(e0,e0) ),
inference(rew,[status(thm),theory(equality)],[12,572,11]),
[iquote('1:Rew:12.0,572.1,11.0,572.1')] ).
cnf(775,plain,
~ skC25,
inference(obv,[status(thm),theory(equality)],[774]),
[iquote('1:Obv:774.1')] ).
cnf(784,plain,
equal(op(e3,e2),e0),
inference(mrr,[status(thm)],[665,701]),
[iquote('1:MRR:665.0,701.0')] ).
cnf(785,plain,
( ~ skC33
| ~ equal(op(e2,e3),e0) ),
inference(rew,[status(thm),theory(equality)],[784,214]),
[iquote('1:Rew:784.0,214.1')] ).
cnf(786,plain,
( ~ skC37
| ~ equal(op(e2,e3),e0) ),
inference(rew,[status(thm),theory(equality)],[784,222]),
[iquote('1:Rew:784.0,222.1')] ).
cnf(788,plain,
~ equal(op(e3,e3),e0),
inference(rew,[status(thm),theory(equality)],[784,110]),
[iquote('1:Rew:784.0,110.0')] ).
cnf(805,plain,
( equal(op(e2,e0),e0)
| equal(op(e2,e3),e0)
| equal(e2,e0) ),
inference(rew,[status(thm),theory(equality)],[16,508]),
[iquote('1:Rew:16.0,508.2')] ).
cnf(806,plain,
equal(op(e2,e3),e0),
inference(mrr,[status(thm)],[805,715,2]),
[iquote('1:MRR:805.0,805.2,715.0,2.0')] ).
cnf(817,plain,
( ~ skC37
| ~ equal(e0,e0) ),
inference(rew,[status(thm),theory(equality)],[806,786]),
[iquote('1:Rew:806.0,786.1')] ).
cnf(818,plain,
( ~ skC33
| ~ equal(e0,e0) ),
inference(rew,[status(thm),theory(equality)],[806,785]),
[iquote('1:Rew:806.0,785.1')] ).
cnf(819,plain,
~ skC37,
inference(obv,[status(thm),theory(equality)],[817]),
[iquote('1:Obv:817.1')] ).
cnf(820,plain,
~ skC33,
inference(obv,[status(thm),theory(equality)],[818]),
[iquote('1:Obv:818.1')] ).
cnf(821,plain,
( equal(op(e4,e2),e3)
| equal(op(e4,e2),unit) ),
inference(mrr,[status(thm)],[593,700]),
[iquote('1:MRR:593.0,700.0')] ).
cnf(824,plain,
( equal(e2,unit)
| equal(e0,unit)
| equal(op(e2,e0),unit) ),
inference(rew,[status(thm),theory(equality)],[482,599,806,16]),
[iquote('1:Rew:482.0,599.2,806.0,599.1,16.0,599.0,482.0,599.0')] ).
cnf(825,plain,
equal(op(e2,e0),unit),
inference(mrr,[status(thm)],[824,605,606]),
[iquote('1:MRR:824.0,824.1,605.0,606.0')] ).
cnf(833,plain,
( ~ skC30
| equal(op(unit,e0),e2) ),
inference(rew,[status(thm),theory(equality)],[825,153]),
[iquote('1:Rew:825.0,153.1')] ).
cnf(839,plain,
( ~ skC30
| equal(e2,e0) ),
inference(rew,[status(thm),theory(equality)],[11,833]),
[iquote('1:Rew:11.0,833.1')] ).
cnf(840,plain,
~ skC30,
inference(mrr,[status(thm)],[839,2]),
[iquote('1:MRR:839.1,2.0')] ).
cnf(845,plain,
equal(op(e3,e3),e4),
inference(mrr,[status(thm)],[663,743,788]),
[iquote('1:MRR:663.1,663.2,743.0,788.0')] ).
cnf(846,plain,
~ equal(op(e3,e0),e4),
inference(rew,[status(thm),theory(equality)],[845,105]),
[iquote('1:Rew:845.0,105.0')] ).
cnf(852,plain,
equal(op(e3,e0),e2),
inference(mrr,[status(thm)],[667,714,846]),
[iquote('1:MRR:667.0,667.1,714.0,846.0')] ).
cnf(857,plain,
( ~ skC35
| equal(op(e2,e0),e3) ),
inference(rew,[status(thm),theory(equality)],[852,158]),
[iquote('1:Rew:852.0,158.1')] ).
cnf(865,plain,
( ~ skC35
| equal(e3,unit) ),
inference(rew,[status(thm),theory(equality)],[825,857]),
[iquote('1:Rew:825.0,857.1')] ).
cnf(866,plain,
~ skC35,
inference(mrr,[status(thm)],[865,604]),
[iquote('1:MRR:865.1,604.0')] ).
cnf(871,plain,
( skC42
| skC40
| skC23
| skC22 ),
inference(mrr,[status(thm)],[695,753,769,819,767,866,820,771,840,729,731,733,775,773]),
[iquote('1:MRR:695.0,695.2,695.4,695.5,695.6,695.7,695.8,695.9,695.10,695.11,695.12,695.13,695.16,753.0,769.0,819.0,767.0,866.0,820.0,771.0,840.0,729.0,731.0,733.0,775.0,773.0')] ).
cnf(880,plain,
( equal(e3,e0)
| equal(op(e4,e2),e3)
| equal(e3,e2)
| equal(op(e0,e2),e3) ),
inference(rew,[status(thm),theory(equality)],[15,541,784]),
[iquote('1:Rew:15.0,541.2,784.0,541.0')] ).
cnf(881,plain,
( equal(op(e4,e2),e3)
| equal(op(e0,e2),e3) ),
inference(mrr,[status(thm)],[880,3,8]),
[iquote('1:MRR:880.0,880.2,3.0,8.0')] ).
cnf(883,plain,
( equal(op(e4,e0),e4)
| equal(op(e0,e0),e4)
| equal(e4,e2)
| equal(e4,e0) ),
inference(rew,[status(thm),theory(equality)],[11,559,852]),
[iquote('1:Rew:11.0,559.3,852.0,559.2')] ).
cnf(884,plain,
equal(op(e0,e0),e4),
inference(mrr,[status(thm)],[883,661,9,4]),
[iquote('1:MRR:883.0,883.2,883.3,661.0,9.0,4.0')] ).
cnf(891,plain,
( equal(e3,e2)
| equal(e4,e3)
| equal(op(e4,e0),e3)
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[11,560,884,852]),
[iquote('1:Rew:11.0,560.3,884.0,560.1,852.0,560.0')] ).
cnf(892,plain,
equal(op(e4,e0),e3),
inference(mrr,[status(thm)],[891,8,10,3]),
[iquote('1:MRR:891.0,891.1,891.3,8.0,10.0,3.0')] ).
cnf(894,plain,
~ equal(op(e4,e2),e3),
inference(rew,[status(thm),theory(equality)],[892,114]),
[iquote('1:Rew:892.0,114.0')] ).
cnf(895,plain,
( ~ skC40
| equal(op(e3,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[892,163]),
[iquote('1:Rew:892.0,163.1')] ).
cnf(903,plain,
equal(op(e4,e2),unit),
inference(mrr,[status(thm)],[821,894]),
[iquote('1:MRR:821.0,894.0')] ).
cnf(904,plain,
equal(op(e0,e2),e3),
inference(mrr,[status(thm)],[881,894]),
[iquote('1:MRR:881.0,894.0')] ).
cnf(908,plain,
( ~ skC42
| equal(op(unit,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[903,165]),
[iquote('1:Rew:903.0,165.1')] ).
cnf(918,plain,
( ~ skC22
| ~ equal(op(e3,e0),e2) ),
inference(rew,[status(thm),theory(equality)],[904,193]),
[iquote('1:Rew:904.0,193.1')] ).
cnf(927,plain,
( ~ skC40
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[852,895]),
[iquote('1:Rew:852.0,895.1')] ).
cnf(928,plain,
~ skC40,
inference(mrr,[status(thm)],[927,9]),
[iquote('1:MRR:927.1,9.0')] ).
cnf(929,plain,
( skC42
| skC23
| skC22 ),
inference(mrr,[status(thm)],[871,928]),
[iquote('1:MRR:871.1,928.0')] ).
cnf(930,plain,
( ~ skC42
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[15,908]),
[iquote('1:Rew:15.0,908.1')] ).
cnf(931,plain,
~ skC42,
inference(mrr,[status(thm)],[930,9]),
[iquote('1:MRR:930.1,9.0')] ).
cnf(932,plain,
( skC23
| skC22 ),
inference(mrr,[status(thm)],[929,931]),
[iquote('1:MRR:929.0,931.0')] ).
cnf(933,plain,
( ~ skC22
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[852,918]),
[iquote('1:Rew:852.0,918.1')] ).
cnf(934,plain,
~ skC22,
inference(obv,[status(thm),theory(equality)],[933]),
[iquote('1:Obv:933.1')] ).
cnf(935,plain,
skC23,
inference(mrr,[status(thm)],[932,934]),
[iquote('1:MRR:932.1,934.0')] ).
cnf(936,plain,
equal(op(op(e0,e3),e3),e0),
inference(mrr,[status(thm)],[146,935]),
[iquote('1:MRR:146.0,935.0')] ).
cnf(939,plain,
( equal(e3,unit)
| equal(e2,unit)
| equal(e0,unit)
| equal(op(e0,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[482,587,806,739,17]),
[iquote('1:Rew:482.0,587.3,806.0,587.2,482.0,587.2,739.0,587.1,17.0,587.0,482.0,587.0')] ).
cnf(940,plain,
equal(op(e0,e3),unit),
inference(mrr,[status(thm)],[939,604,605,606]),
[iquote('1:MRR:939.0,939.1,939.2,604.0,605.0,606.0')] ).
cnf(947,plain,
equal(op(unit,e3),e0),
inference(rew,[status(thm),theory(equality)],[940,936]),
[iquote('1:Rew:940.0,936.0')] ).
cnf(949,plain,
equal(e3,e0),
inference(rew,[status(thm),theory(equality)],[17,947]),
[iquote('1:Rew:17.0,947.0')] ).
cnf(950,plain,
$false,
inference(mrr,[status(thm)],[949,3]),
[iquote('1:MRR:949.0,3.0')] ).
cnf(964,plain,
~ equal(e1,unit),
inference(spt,[spt(split,[position(sa)])],[950,482]),
[iquote('1:Spt:950.0,247.3,482.0')] ).
cnf(965,plain,
( equal(e4,unit)
| equal(e3,unit)
| equal(e2,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2)])],[247]),
[iquote('1:Spt:950.0,247.0,247.1,247.2,247.4')] ).
cnf(966,plain,
equal(e4,unit),
inference(spt,[spt(split,[position(s2s1)])],[965]),
[iquote('2:Spt:965.0')] ).
cnf(990,plain,
~ equal(op(e1,e0),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[966,86]),
[iquote('2:Rew:966.0,86.0')] ).
cnf(992,plain,
~ equal(op(e1,e2),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[966,91]),
[iquote('2:Rew:966.0,91.0')] ).
cnf(994,plain,
~ equal(op(e1,e3),op(e1,unit)),
inference(rew,[status(thm),theory(equality)],[966,92]),
[iquote('2:Rew:966.0,92.0')] ).
cnf(1018,plain,
( equal(op(e1,e3),e1)
| equal(op(unit,e3),e1)
| equal(op(e2,e3),e1)
| equal(op(e0,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[966,427]),
[iquote('2:Rew:966.0,427.1')] ).
cnf(1033,plain,
~ equal(op(e2,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[966,31]),
[iquote('2:Rew:966.0,31.0')] ).
cnf(1041,plain,
( equal(op(e1,e0),e1)
| equal(op(e0,e0),e1)
| equal(op(unit,e0),e1)
| equal(op(e2,e0),e1) ),
inference(rew,[status(thm),theory(equality)],[966,457]),
[iquote('2:Rew:966.0,457.2')] ).
cnf(1052,plain,
( equal(op(e1,e2),e1)
| equal(op(unit,e2),e1)
| equal(op(e0,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[966,438]),
[iquote('2:Rew:966.0,438.1')] ).
cnf(1134,plain,
~ equal(op(e1,e0),e1),
inference(rew,[status(thm),theory(equality)],[14,990]),
[iquote('2:Rew:14.0,990.0')] ).
cnf(1137,plain,
~ equal(op(e1,e2),e1),
inference(rew,[status(thm),theory(equality)],[14,992]),
[iquote('2:Rew:14.0,992.0')] ).
cnf(1140,plain,
~ equal(op(e1,e3),e1),
inference(rew,[status(thm),theory(equality)],[14,994]),
[iquote('2:Rew:14.0,994.0')] ).
cnf(1161,plain,
~ equal(op(e2,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1033]),
[iquote('2:Rew:11.0,1033.0')] ).
cnf(1162,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[471,1161]),
[iquote('2:MRR:471.1,1161.0')] ).
cnf(1220,plain,
( equal(op(e1,e2),e1)
| equal(e2,e1)
| equal(op(e0,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[15,1052]),
[iquote('2:Rew:15.0,1052.1')] ).
cnf(1221,plain,
equal(op(e0,e2),e1),
inference(mrr,[status(thm)],[1220,1137,5]),
[iquote('2:MRR:1220.0,1220.1,1137.0,5.0')] ).
cnf(1225,plain,
~ equal(op(e0,e0),e1),
inference(rew,[status(thm),theory(equality)],[1221,74]),
[iquote('2:Rew:1221.0,74.0')] ).
cnf(1226,plain,
~ equal(op(e0,e3),e1),
inference(rew,[status(thm),theory(equality)],[1221,80]),
[iquote('2:Rew:1221.0,80.0')] ).
cnf(1253,plain,
( equal(op(e1,e3),e1)
| equal(e3,e1)
| equal(op(e2,e3),e1)
| equal(op(e0,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[17,1018]),
[iquote('2:Rew:17.0,1018.1')] ).
cnf(1254,plain,
equal(op(e2,e3),e1),
inference(mrr,[status(thm)],[1253,1140,6,1226]),
[iquote('2:MRR:1253.0,1253.1,1253.3,1140.0,6.0,1226.0')] ).
cnf(1260,plain,
~ equal(op(e2,e0),e1),
inference(rew,[status(thm),theory(equality)],[1254,95]),
[iquote('2:Rew:1254.0,95.0')] ).
cnf(1271,plain,
equal(op(e2,e0),e2),
inference(mrr,[status(thm)],[1162,1260]),
[iquote('2:MRR:1162.1,1260.0')] ).
cnf(1316,plain,
( equal(op(e1,e0),e1)
| equal(op(e0,e0),e1)
| equal(e1,e0)
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[1271,1041,11]),
[iquote('2:Rew:1271.0,1041.3,11.0,1041.2')] ).
cnf(1317,plain,
$false,
inference(mrr,[status(thm)],[1316,1134,1225,1,5]),
[iquote('2:MRR:1316.0,1316.1,1316.2,1316.3,1134.0,1225.0,1.0,5.0')] ).
cnf(1347,plain,
~ equal(e4,unit),
inference(spt,[spt(split,[position(s2sa)])],[1317,966]),
[iquote('2:Spt:1317.0,965.0,966.0')] ).
cnf(1348,plain,
( equal(e3,unit)
| equal(e2,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2s2)])],[965]),
[iquote('2:Spt:1317.0,965.1,965.2,965.3')] ).
cnf(1349,plain,
equal(e3,unit),
inference(spt,[spt(split,[position(s2s2s1)])],[1348]),
[iquote('3:Spt:1348.0')] ).
cnf(1359,plain,
~ equal(op(e2,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1349,30]),
[iquote('3:Rew:1349.0,30.0')] ).
cnf(1368,plain,
~ equal(op(e0,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1349,35]),
[iquote('3:Rew:1349.0,35.0')] ).
cnf(1374,plain,
~ equal(op(e4,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1349,42]),
[iquote('3:Rew:1349.0,42.0')] ).
cnf(1383,plain,
~ equal(op(e4,e2),op(unit,e2)),
inference(rew,[status(thm),theory(equality)],[1349,52]),
[iquote('3:Rew:1349.0,52.0')] ).
cnf(1405,plain,
( equal(op(e0,e1),e1)
| equal(op(e0,e0),e1)
| equal(op(e0,unit),e1)
| equal(op(e0,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[1349,458]),
[iquote('3:Rew:1349.0,458.2')] ).
cnf(1446,plain,
~ equal(op(e2,e0),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[1349,95]),
[iquote('3:Rew:1349.0,95.0')] ).
cnf(1462,plain,
~ equal(op(e4,e0),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1349,115]),
[iquote('3:Rew:1349.0,115.0')] ).
cnf(1466,plain,
~ equal(op(e4,e1),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[1349,118]),
[iquote('3:Rew:1349.0,118.0')] ).
cnf(1478,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)],[1349,463]),
[iquote('3:Rew:1349.0,463.2')] ).
cnf(1481,plain,
( equal(op(e4,e2),e2)
| equal(op(e4,e2),unit)
| equal(op(e4,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[1349,462]),
[iquote('3:Rew:1349.0,462.1')] ).
cnf(1502,plain,
( equal(op(e4,e0),e4)
| equal(op(e4,e0),unit)
| equal(op(e4,e0),e2)
| equal(op(e4,e0),e1) ),
inference(rew,[status(thm),theory(equality)],[1349,464]),
[iquote('3:Rew:1349.0,464.1')] ).
cnf(1520,plain,
~ equal(op(e2,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1359]),
[iquote('3:Rew:11.0,1359.0')] ).
cnf(1521,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e1) ),
inference(mrr,[status(thm)],[471,1520]),
[iquote('3:MRR:471.1,1520.0')] ).
cnf(1522,plain,
~ equal(op(e0,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1368]),
[iquote('3:Rew:13.0,1368.0')] ).
cnf(1527,plain,
~ equal(op(e4,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1374]),
[iquote('3:Rew:13.0,1374.0')] ).
cnf(1533,plain,
~ equal(op(e4,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,1383]),
[iquote('3:Rew:15.0,1383.0')] ).
cnf(1551,plain,
~ equal(op(e2,e0),e2),
inference(rew,[status(thm),theory(equality)],[16,1446]),
[iquote('3:Rew:16.0,1446.0')] ).
cnf(1557,plain,
~ equal(op(e4,e0),e4),
inference(rew,[status(thm),theory(equality)],[20,1462]),
[iquote('3:Rew:20.0,1462.0')] ).
cnf(1561,plain,
~ equal(op(e4,e1),e4),
inference(rew,[status(thm),theory(equality)],[20,1466]),
[iquote('3:Rew:20.0,1466.0')] ).
cnf(1605,plain,
equal(op(e2,e0),e1),
inference(mrr,[status(thm)],[1521,1551]),
[iquote('3:MRR:1521.0,1551.0')] ).
cnf(1607,plain,
~ equal(op(e4,e0),e1),
inference(rew,[status(thm),theory(equality)],[1605,31]),
[iquote('3:Rew:1605.0,31.0')] ).
cnf(1608,plain,
~ equal(op(e0,e0),e1),
inference(rew,[status(thm),theory(equality)],[1605,24]),
[iquote('3:Rew:1605.0,24.0')] ).
cnf(1667,plain,
( equal(op(e4,e2),unit)
| equal(op(e4,e2),e1) ),
inference(mrr,[status(thm)],[1481,1533]),
[iquote('3:MRR:1481.0,1533.0')] ).
cnf(1683,plain,
( equal(op(e0,e1),e1)
| equal(op(e0,e0),e1)
| equal(e1,e0)
| equal(op(e0,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[12,1405]),
[iquote('3:Rew:12.0,1405.2')] ).
cnf(1684,plain,
equal(op(e0,e2),e1),
inference(mrr,[status(thm)],[1683,1522,1608,1]),
[iquote('3:MRR:1683.0,1683.1,1683.2,1522.0,1608.0,1.0')] ).
cnf(1686,plain,
~ equal(op(e4,e2),e1),
inference(rew,[status(thm),theory(equality)],[1684,46]),
[iquote('3:Rew:1684.0,46.0')] ).
cnf(1697,plain,
equal(op(e4,e2),unit),
inference(mrr,[status(thm)],[1667,1686]),
[iquote('3:MRR:1667.1,1686.0')] ).
cnf(1700,plain,
~ equal(op(e4,e0),unit),
inference(rew,[status(thm),theory(equality)],[1697,114]),
[iquote('3:Rew:1697.0,114.0')] ).
cnf(1701,plain,
~ equal(op(e4,e1),unit),
inference(rew,[status(thm),theory(equality)],[1697,117]),
[iquote('3:Rew:1697.0,117.0')] ).
cnf(1729,plain,
equal(op(e4,e1),e2),
inference(mrr,[status(thm)],[1478,1561,1527,1701]),
[iquote('3:MRR:1478.0,1478.1,1478.2,1561.0,1527.0,1701.0')] ).
cnf(1731,plain,
~ equal(op(e4,e0),e2),
inference(rew,[status(thm),theory(equality)],[1729,113]),
[iquote('3:Rew:1729.0,113.0')] ).
cnf(1757,plain,
$false,
inference(mrr,[status(thm)],[1502,1557,1700,1731,1607]),
[iquote('3:MRR:1502.0,1502.1,1502.2,1502.3,1557.0,1700.0,1731.0,1607.0')] ).
cnf(1771,plain,
~ equal(e3,unit),
inference(spt,[spt(split,[position(s2s2sa)])],[1757,1349]),
[iquote('3:Spt:1757.0,1348.0,1349.0')] ).
cnf(1772,plain,
( equal(e2,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2s2s2)])],[1348]),
[iquote('3:Spt:1757.0,1348.1,1348.2')] ).
cnf(1773,plain,
equal(e2,unit),
inference(spt,[spt(split,[position(s2s2s2s1)])],[1772]),
[iquote('4:Spt:1772.0')] ).
cnf(1774,plain,
~ equal(e0,unit),
inference(rew,[status(thm),theory(equality)],[1773,2]),
[iquote('4:Rew:1773.0,2.0')] ).
cnf(1901,plain,
( equal(op(e4,unit),unit)
| equal(op(e3,e2),e2)
| equal(op(e1,e2),e2)
| equal(op(e0,e2),e2) ),
inference(rew,[status(thm),theory(equality)],[1773,434]),
[iquote('4:Rew:1773.0,434.0')] ).
cnf(2062,plain,
( equal(e4,unit)
| equal(e3,unit)
| equal(e1,unit)
| equal(e0,unit) ),
inference(rew,[status(thm),theory(equality)],[12,1901,1773,14,18,20]),
[iquote('4:Rew:12.0,1901.3,1773.0,1901.3,14.0,1901.2,1773.0,1901.2,18.0,1901.1,1773.0,1901.1,20.0,1901.0')] ).
cnf(2063,plain,
$false,
inference(mrr,[status(thm)],[2062,1347,1771,964,1774]),
[iquote('4:MRR:2062.0,2062.1,2062.2,2062.3,1347.0,1771.0,964.0,1774.0')] ).
cnf(2087,plain,
~ equal(e2,unit),
inference(spt,[spt(split,[position(s2s2s2sa)])],[2063,1773]),
[iquote('4:Spt:2063.0,1772.0,1773.0')] ).
cnf(2088,plain,
equal(e0,unit),
inference(spt,[spt(split,[position(s2s2s2s2)])],[1772]),
[iquote('4:Spt:2063.0,1772.1')] ).
cnf(2099,plain,
( ~ skC21
| ~ equal(op(e1,unit),op(unit,e1)) ),
inference(rew,[status(thm),theory(equality)],[2088,190]),
[iquote('4:Rew:2088.0,190.1')] ).
cnf(2100,plain,
( ~ skC25
| ~ equal(op(e1,unit),op(unit,e1)) ),
inference(rew,[status(thm),theory(equality)],[2088,198]),
[iquote('4:Rew:2088.0,198.1')] ).
cnf(2114,plain,
~ equal(op(e4,e3),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[2088,115]),
[iquote('4:Rew:2088.0,115.0')] ).
cnf(2115,plain,
~ equal(op(e4,e1),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[2088,113]),
[iquote('4:Rew:2088.0,113.0')] ).
cnf(2119,plain,
~ equal(op(e1,e4),op(unit,e4)),
inference(rew,[status(thm),theory(equality)],[2088,63]),
[iquote('4:Rew:2088.0,63.0')] ).
cnf(2123,plain,
( ~ skC24
| ~ equal(op(e4,unit),op(unit,e4)) ),
inference(rew,[status(thm),theory(equality)],[2088,196]),
[iquote('4:Rew:2088.0,196.1')] ).
cnf(2124,plain,
( ~ skC40
| ~ equal(op(e4,unit),op(unit,e4)) ),
inference(rew,[status(thm),theory(equality)],[2088,228]),
[iquote('4:Rew:2088.0,228.1')] ).
cnf(2137,plain,
~ equal(op(e3,e1),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[2088,103]),
[iquote('4:Rew:2088.0,103.0')] ).
cnf(2149,plain,
( ~ skC23
| ~ equal(op(e3,unit),op(unit,e3)) ),
inference(rew,[status(thm),theory(equality)],[2088,194]),
[iquote('4:Rew:2088.0,194.1')] ).
cnf(2150,plain,
( ~ skC35
| ~ equal(op(e3,unit),op(unit,e3)) ),
inference(rew,[status(thm),theory(equality)],[2088,218]),
[iquote('4:Rew:2088.0,218.1')] ).
cnf(2156,plain,
( ~ skC12
| ~ equal(op(unit,op(unit,e3)),e3) ),
inference(rew,[status(thm),theory(equality)],[2088,180]),
[iquote('4:Rew:2088.0,180.1')] ).
cnf(2161,plain,
~ equal(e2,unit),
inference(rew,[status(thm),theory(equality)],[2088,2]),
[iquote('4:Rew:2088.0,2.0')] ).
cnf(2177,plain,
~ equal(op(e3,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,45,2088]),
[iquote('4:Rew:15.0,45.0,2088.0,45.0')] ).
cnf(2179,plain,
~ equal(op(e1,e2),e1),
inference(rew,[status(thm),theory(equality)],[14,84,2088]),
[iquote('4:Rew:14.0,84.0,2088.0,84.0')] ).
cnf(2180,plain,
~ equal(op(e3,e2),e3),
inference(rew,[status(thm),theory(equality)],[18,104,2088]),
[iquote('4:Rew:18.0,104.0,2088.0,104.0')] ).
cnf(2188,plain,
~ equal(op(e2,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,34,2088]),
[iquote('4:Rew:13.0,34.0,2088.0,34.0')] ).
cnf(2199,plain,
~ equal(op(e4,e3),e4),
inference(rew,[status(thm),theory(equality)],[20,2114]),
[iquote('4:Rew:20.0,2114.0')] ).
cnf(2200,plain,
~ equal(op(e4,e1),e4),
inference(rew,[status(thm),theory(equality)],[20,2115]),
[iquote('4:Rew:20.0,2115.0')] ).
cnf(2201,plain,
~ equal(op(e1,e4),e4),
inference(rew,[status(thm),theory(equality)],[19,2119]),
[iquote('4:Rew:19.0,2119.0')] ).
cnf(2205,plain,
~ equal(op(e3,e1),e3),
inference(rew,[status(thm),theory(equality)],[18,2137]),
[iquote('4:Rew:18.0,2137.0')] ).
cnf(2215,plain,
( ~ skC22
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[21,145,15,2088]),
[iquote('4:Rew:21.0,145.1,15.0,145.1,2088.0,145.1')] ).
cnf(2216,plain,
~ skC22,
inference(mrr,[status(thm)],[2215,1347]),
[iquote('4:MRR:2215.1,1347.0')] ).
cnf(2235,plain,
( ~ skC30
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,208,15,2088]),
[iquote('4:Rew:16.0,208.1,15.0,208.1,2088.0,208.1')] ).
cnf(2236,plain,
~ skC30,
inference(obv,[status(thm),theory(equality)],[2235]),
[iquote('4:Obv:2235.1')] ).
cnf(2238,plain,
equal(op(e1,e4),e2),
inference(mrr,[status(thm)],[472,2201]),
[iquote('4:MRR:472.0,2201.0')] ).
cnf(2241,plain,
( ~ skC29
| equal(op(e2,e4),e1) ),
inference(rew,[status(thm),theory(equality)],[2238,152]),
[iquote('4:Rew:2238.0,152.1')] ).
cnf(2246,plain,
~ equal(op(e1,e3),e2),
inference(rew,[status(thm),theory(equality)],[2238,92]),
[iquote('4:Rew:2238.0,92.0')] ).
cnf(2252,plain,
( ~ skC29
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[326,2241]),
[iquote('4:Rew:326.0,2241.1')] ).
cnf(2253,plain,
~ skC29,
inference(mrr,[status(thm)],[2252,6]),
[iquote('4:MRR:2252.1,6.0')] ).
cnf(2255,plain,
( ~ skC21
| ~ equal(e1,e1) ),
inference(rew,[status(thm),theory(equality)],[14,2099,13]),
[iquote('4:Rew:14.0,2099.1,13.0,2099.1')] ).
cnf(2256,plain,
~ skC21,
inference(obv,[status(thm),theory(equality)],[2255]),
[iquote('4:Obv:2255.1')] ).
cnf(2257,plain,
( ~ skC25
| ~ equal(e1,e1) ),
inference(rew,[status(thm),theory(equality)],[14,2100,13]),
[iquote('4:Rew:14.0,2100.1,13.0,2100.1')] ).
cnf(2258,plain,
~ skC25,
inference(obv,[status(thm),theory(equality)],[2257]),
[iquote('4:Obv:2257.1')] ).
cnf(2260,plain,
( ~ skC24
| ~ equal(e4,e4) ),
inference(rew,[status(thm),theory(equality)],[20,2123,19]),
[iquote('4:Rew:20.0,2123.1,19.0,2123.1')] ).
cnf(2261,plain,
~ skC24,
inference(obv,[status(thm),theory(equality)],[2260]),
[iquote('4:Obv:2260.1')] ).
cnf(2262,plain,
( ~ skC40
| ~ equal(e4,e4) ),
inference(rew,[status(thm),theory(equality)],[20,2124,19]),
[iquote('4:Rew:20.0,2124.1,19.0,2124.1')] ).
cnf(2263,plain,
~ skC40,
inference(obv,[status(thm),theory(equality)],[2262]),
[iquote('4:Obv:2262.1')] ).
cnf(2267,plain,
( ~ skC23
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[18,2149,17]),
[iquote('4:Rew:18.0,2149.1,17.0,2149.1')] ).
cnf(2268,plain,
~ skC23,
inference(obv,[status(thm),theory(equality)],[2267]),
[iquote('4:Obv:2267.1')] ).
cnf(2269,plain,
( ~ skC35
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[18,2150,17]),
[iquote('4:Rew:18.0,2150.1,17.0,2150.1')] ).
cnf(2270,plain,
~ skC35,
inference(obv,[status(thm),theory(equality)],[2269]),
[iquote('4:Obv:2269.1')] ).
cnf(2271,plain,
( ~ skC12
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[17,2156]),
[iquote('4:Rew:17.0,2156.1,17.0,2156.1')] ).
cnf(2272,plain,
~ skC12,
inference(obv,[status(thm),theory(equality)],[2271]),
[iquote('4:Obv:2271.1')] ).
cnf(2273,plain,
( skC14
| skC13
| equal(op(e3,op(e4,e3)),e4) ),
inference(mrr,[status(thm)],[397,2272]),
[iquote('4:MRR:397.2,2272.0')] ).
cnf(2285,plain,
( equal(op(e1,e2),e1)
| equal(op(e4,e2),e1)
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[15,438,2088]),
[iquote('4:Rew:15.0,438.2,2088.0,438.2')] ).
cnf(2286,plain,
equal(op(e4,e2),e1),
inference(mrr,[status(thm)],[2285,2179,5]),
[iquote('4:MRR:2285.0,2285.2,2179.0,5.0')] ).
cnf(2295,plain,
( ~ skC42
| equal(op(e1,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[2286,165]),
[iquote('4:Rew:2286.0,165.1')] ).
cnf(2299,plain,
~ skC42,
inference(mrr,[status(thm)],[2295,340]),
[iquote('4:MRR:2295.1,340.0')] ).
cnf(2303,plain,
( equal(op(e3,e2),e3)
| equal(op(e3,e2),e2)
| equal(op(e3,e2),unit) ),
inference(rew,[status(thm),theory(equality)],[2088,466]),
[iquote('4:Rew:2088.0,466.2')] ).
cnf(2304,plain,
equal(op(e3,e2),unit),
inference(mrr,[status(thm)],[2303,2180,2177]),
[iquote('4:MRR:2303.0,2303.1,2180.0,2177.0')] ).
cnf(2311,plain,
~ equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[2304,110]),
[iquote('4:Rew:2304.0,110.0')] ).
cnf(2313,plain,
( ~ skC37
| equal(op(unit,e2),e3) ),
inference(rew,[status(thm),theory(equality)],[2304,160]),
[iquote('4:Rew:2304.0,160.1')] ).
cnf(2323,plain,
( ~ skC37
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[15,2313]),
[iquote('4:Rew:15.0,2313.1')] ).
cnf(2324,plain,
~ skC37,
inference(mrr,[status(thm)],[2323,8]),
[iquote('4:MRR:2323.1,8.0')] ).
cnf(2328,plain,
( equal(op(e2,e1),e1)
| equal(op(e2,e3),e1)
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[16,440,2088]),
[iquote('4:Rew:16.0,440.2,2088.0,440.2')] ).
cnf(2329,plain,
equal(op(e2,e3),e1),
inference(mrr,[status(thm)],[2328,2188,5]),
[iquote('4:MRR:2328.0,2328.2,2188.0,5.0')] ).
cnf(2337,plain,
( ~ skC33
| equal(op(e1,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[2329,156]),
[iquote('4:Rew:2329.0,156.1')] ).
cnf(2338,plain,
( ~ skC14
| equal(op(e3,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[2329,137]),
[iquote('4:Rew:2329.0,137.1')] ).
cnf(2342,plain,
~ skC33,
inference(mrr,[status(thm)],[2337,2246]),
[iquote('4:MRR:2337.1,2246.0')] ).
cnf(2343,plain,
( equal(e2,unit)
| equal(e1,unit)
| equal(op(e2,e1),unit) ),
inference(rew,[status(thm),theory(equality)],[2088,444,2329,16]),
[iquote('4:Rew:2088.0,444.2,2329.0,444.1,2088.0,444.1,16.0,444.0,2088.0,444.0')] ).
cnf(2344,plain,
equal(op(e2,e1),unit),
inference(mrr,[status(thm)],[2343,2161,964]),
[iquote('4:MRR:2343.0,2343.1,2161.0,964.0')] ).
cnf(2352,plain,
( ~ skC31
| equal(op(unit,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[2344,154]),
[iquote('4:Rew:2344.0,154.1')] ).
cnf(2358,plain,
( ~ skC31
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[13,2352]),
[iquote('4:Rew:13.0,2352.1')] ).
cnf(2359,plain,
~ skC31,
inference(mrr,[status(thm)],[2358,5]),
[iquote('4:MRR:2358.1,5.0')] ).
cnf(2368,plain,
( skC43
| skC41
| skC36
| skC28
| skC27 ),
inference(mrr,[status(thm)],[480,2299,2263,2324,2270,2342,2359,2236,2253,2258,2261,2268,2216,2256]),
[iquote('4:MRR:480.1,480.3,480.4,480.6,480.7,480.8,480.9,480.10,480.13,480.14,480.15,480.16,480.17,2299.0,2263.0,2324.0,2270.0,2342.0,2359.0,2236.0,2253.0,2258.0,2261.0,2268.0,2216.0,2256.0')] ).
cnf(2370,plain,
( equal(op(e4,e1),e4)
| equal(op(e1,e1),e4)
| equal(op(e3,e1),e4)
| equal(e4,e1) ),
inference(rew,[status(thm),theory(equality)],[13,445,2088]),
[iquote('4:Rew:13.0,445.3,2088.0,445.3')] ).
cnf(2371,plain,
( equal(op(e1,e1),e4)
| equal(op(e3,e1),e4) ),
inference(mrr,[status(thm)],[2370,2200,7]),
[iquote('4:MRR:2370.0,2370.3,2200.0,7.0')] ).
cnf(2372,plain,
( equal(op(e4,e3),e4)
| equal(op(e3,e3),e4)
| equal(op(e1,e3),e4)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[17,419,2088]),
[iquote('4:Rew:17.0,419.3,2088.0,419.3')] ).
cnf(2373,plain,
( equal(op(e3,e3),e4)
| equal(op(e1,e3),e4) ),
inference(mrr,[status(thm)],[2372,2199,10]),
[iquote('4:MRR:2372.0,2372.3,2199.0,10.0')] ).
cnf(2374,plain,
( equal(op(e3,e1),e3)
| equal(op(e1,e1),e3)
| equal(op(e4,e1),e3)
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[13,447,2088]),
[iquote('4:Rew:13.0,447.3,2088.0,447.3')] ).
cnf(2375,plain,
( equal(op(e1,e1),e3)
| equal(op(e4,e1),e3) ),
inference(mrr,[status(thm)],[2374,2205,6]),
[iquote('4:MRR:2374.0,2374.3,2205.0,6.0')] ).
cnf(2382,plain,
( equal(op(e3,e3),unit)
| equal(e3,unit)
| equal(e1,unit)
| equal(op(e1,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[2088,428,2329,17]),
[iquote('4:Rew:2088.0,428.3,2329.0,428.2,2088.0,428.2,17.0,428.1,2088.0,428.1,2088.0,428.0')] ).
cnf(2383,plain,
equal(op(e1,e3),unit),
inference(mrr,[status(thm)],[2382,2311,1771,964]),
[iquote('4:MRR:2382.0,2382.1,2382.2,2311.0,1771.0,964.0')] ).
cnf(2387,plain,
( ~ skC28
| equal(op(unit,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[2383,151]),
[iquote('4:Rew:2383.0,151.1')] ).
cnf(2388,plain,
( ~ skC13
| equal(op(e3,unit),e1) ),
inference(rew,[status(thm),theory(equality)],[2383,136]),
[iquote('4:Rew:2383.0,136.1')] ).
cnf(2397,plain,
( equal(op(e3,e3),e4)
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[2383,2373]),
[iquote('4:Rew:2383.0,2373.1')] ).
cnf(2398,plain,
( ~ skC28
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[17,2387]),
[iquote('4:Rew:17.0,2387.1')] ).
cnf(2399,plain,
~ skC28,
inference(mrr,[status(thm)],[2398,6]),
[iquote('4:MRR:2398.1,6.0')] ).
cnf(2400,plain,
( skC43
| skC41
| skC36
| skC27 ),
inference(mrr,[status(thm)],[2368,2399]),
[iquote('4:MRR:2368.3,2399.0')] ).
cnf(2401,plain,
( ~ skC13
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[18,2388]),
[iquote('4:Rew:18.0,2388.1')] ).
cnf(2402,plain,
~ skC13,
inference(mrr,[status(thm)],[2401,6]),
[iquote('4:MRR:2401.1,6.0')] ).
cnf(2403,plain,
( skC14
| equal(op(e3,op(e4,e3)),e4) ),
inference(mrr,[status(thm)],[2273,2402]),
[iquote('4:MRR:2273.1,2402.0')] ).
cnf(2405,plain,
equal(op(e3,e3),e4),
inference(mrr,[status(thm)],[2397,1347]),
[iquote('4:MRR:2397.1,1347.0')] ).
cnf(2408,plain,
~ equal(op(e3,e1),e4),
inference(rew,[status(thm),theory(equality)],[2405,108]),
[iquote('4:Rew:2405.0,108.0')] ).
cnf(2411,plain,
equal(op(e1,e1),e4),
inference(mrr,[status(thm)],[2371,2408]),
[iquote('4:MRR:2371.1,2408.0')] ).
cnf(2418,plain,
( equal(e4,e3)
| equal(op(e4,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[2411,2375]),
[iquote('4:Rew:2411.0,2375.0')] ).
cnf(2419,plain,
equal(op(e4,e1),e3),
inference(mrr,[status(thm)],[2418,10]),
[iquote('4:MRR:2418.0,10.0')] ).
cnf(2422,plain,
( ~ skC41
| equal(op(e3,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[2419,164]),
[iquote('4:Rew:2419.0,164.1')] ).
cnf(2434,plain,
~ skC41,
inference(mrr,[status(thm)],[2422,2408]),
[iquote('4:MRR:2422.1,2408.0')] ).
cnf(2435,plain,
( skC43
| skC36
| skC27 ),
inference(mrr,[status(thm)],[2400,2434]),
[iquote('4:MRR:2400.1,2434.0')] ).
cnf(2438,plain,
( equal(e3,unit)
| equal(e3,e1)
| equal(op(e1,e2),e3)
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[15,432,2088,2286,2304]),
[iquote('4:Rew:15.0,432.3,2088.0,432.3,2286.0,432.1,2304.0,432.0')] ).
cnf(2439,plain,
equal(op(e1,e2),e3),
inference(mrr,[status(thm)],[2438,1771,6,8]),
[iquote('4:MRR:2438.0,2438.1,2438.3,1771.0,6.0,8.0')] ).
cnf(2443,plain,
( ~ skC27
| equal(op(e3,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[2439,150]),
[iquote('4:Rew:2439.0,150.1')] ).
cnf(2449,plain,
( ~ skC27
| equal(e1,unit) ),
inference(rew,[status(thm),theory(equality)],[2304,2443]),
[iquote('4:Rew:2304.0,2443.1')] ).
cnf(2450,plain,
~ skC27,
inference(mrr,[status(thm)],[2449,964]),
[iquote('4:MRR:2449.1,964.0')] ).
cnf(2451,plain,
( skC43
| skC36 ),
inference(mrr,[status(thm)],[2435,2450]),
[iquote('4:MRR:2435.2,2450.0')] ).
cnf(2458,plain,
( equal(e2,e1)
| equal(op(e4,e3),e2)
| equal(e3,e2)
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[20,416,2088,2419,2286]),
[iquote('4:Rew:20.0,416.3,2088.0,416.3,2419.0,416.2,2286.0,416.0')] ).
cnf(2459,plain,
equal(op(e4,e3),e2),
inference(mrr,[status(thm)],[2458,5,8,9]),
[iquote('4:MRR:2458.0,2458.2,2458.3,5.0,8.0,9.0')] ).
cnf(2460,plain,
( ~ skC43
| equal(op(e2,e3),e4) ),
inference(rew,[status(thm),theory(equality)],[2459,166]),
[iquote('4:Rew:2459.0,166.1')] ).
cnf(2466,plain,
( skC14
| equal(op(e3,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[2459,2403]),
[iquote('4:Rew:2459.0,2403.1')] ).
cnf(2468,plain,
( skC14
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[2304,2466]),
[iquote('4:Rew:2304.0,2466.1')] ).
cnf(2469,plain,
skC14,
inference(mrr,[status(thm)],[2468,1347]),
[iquote('4:MRR:2468.1,1347.0')] ).
cnf(2470,plain,
equal(op(e3,e1),e2),
inference(mrr,[status(thm)],[2338,2469]),
[iquote('4:MRR:2338.0,2469.0')] ).
cnf(2473,plain,
( ~ skC36
| ~ equal(op(e2,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[2470,221]),
[iquote('4:Rew:2470.0,221.1')] ).
cnf(2480,plain,
( ~ skC43
| equal(e4,e1) ),
inference(rew,[status(thm),theory(equality)],[2329,2460]),
[iquote('4:Rew:2329.0,2460.1')] ).
cnf(2481,plain,
~ skC43,
inference(mrr,[status(thm)],[2480,7]),
[iquote('4:MRR:2480.1,7.0')] ).
cnf(2482,plain,
skC36,
inference(mrr,[status(thm)],[2451,2481]),
[iquote('4:MRR:2451.0,2481.0')] ).
cnf(2485,plain,
( ~ skC36
| ~ equal(e1,e1) ),
inference(rew,[status(thm),theory(equality)],[2329,2473]),
[iquote('4:Rew:2329.0,2473.1')] ).
cnf(2486,plain,
~ skC36,
inference(obv,[status(thm),theory(equality)],[2485]),
[iquote('4:Obv:2485.1')] ).
cnf(2487,plain,
$false,
inference(mrr,[status(thm)],[2486,2482]),
[iquote('4:MRR:2486.0,2482.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG057+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % 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 : Wed Jun 8 19:34:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.69
% 0.47/0.69 SPASS V 3.9
% 0.47/0.69 SPASS beiseite: Proof found.
% 0.47/0.69 % SZS status Theorem
% 0.47/0.69 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.69 SPASS derived 1184 clauses, backtracked 845 clauses, performed 4 splits and kept 1660 clauses.
% 0.47/0.69 SPASS allocated 86412 KBytes.
% 0.47/0.69 SPASS spent 0:00:00.34 on the problem.
% 0.47/0.69 0:00:00.04 for the input.
% 0.47/0.69 0:00:00.07 for the FLOTTER CNF translation.
% 0.47/0.69 0:00:00.00 for inferences.
% 0.47/0.69 0:00:00.01 for the backtracking.
% 0.47/0.69 0:00:00.19 for the reduction.
% 0.47/0.69
% 0.47/0.69
% 0.47/0.69 Here is a proof with depth 4, length 544 :
% 0.47/0.69 % SZS output start Refutation
% See solution above
% 0.47/0.71 Formulae used in the proof : ax5 ax2 ax6 ax4 co1 ax3 ax1
% 0.47/0.71
%------------------------------------------------------------------------------