TSTP Solution File: ALG068+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 18:02:12 EDT 2022
% Result : Theorem 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 138
% Syntax : Number of clauses : 465 ( 248 unt; 143 nHn; 465 RR)
% Number of literals : 1036 ( 0 equ; 290 neg)
% Maximal clause size : 25 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 25 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('ALG068+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e2,e0),
file('ALG068+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e3,e0),
file('ALG068+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e4,e0),
file('ALG068+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e2,e1),
file('ALG068+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e3,e1),
file('ALG068+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e4,e1),
file('ALG068+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e3,e2),
file('ALG068+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e4,e2),
file('ALG068+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e4,e3),
file('ALG068+1.p',unknown),
[] ).
cnf(11,axiom,
equal(op(unit,e0),e0),
file('ALG068+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,unit),e0),
file('ALG068+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(unit,e1),e1),
file('ALG068+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e1,unit),e1),
file('ALG068+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(unit,e2),e2),
file('ALG068+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e2,unit),e2),
file('ALG068+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(unit,e3),e3),
file('ALG068+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e3,unit),e3),
file('ALG068+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(unit,e4),e4),
file('ALG068+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e4,unit),e4),
file('ALG068+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e4,e2),e1),
file('ALG068+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e2,e4),e3),
file('ALG068+1.p',unknown),
[] ).
cnf(23,axiom,
~ equal(op(e1,e0),op(e0,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(24,axiom,
~ equal(op(e2,e0),op(e0,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(25,axiom,
~ equal(op(e3,e0),op(e0,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(27,axiom,
~ equal(op(e2,e0),op(e1,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(28,axiom,
~ equal(op(e3,e0),op(e1,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(31,axiom,
~ equal(op(e4,e0),op(e2,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(34,axiom,
~ equal(op(e2,e1),op(e0,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(37,axiom,
~ equal(op(e2,e1),op(e1,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(40,axiom,
~ equal(op(e3,e1),op(e2,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(op(e4,e1),op(e2,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(50,axiom,
~ equal(op(e3,e2),op(e2,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(51,axiom,
~ equal(op(e4,e2),op(e2,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(52,axiom,
~ equal(op(e4,e2),op(e3,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(53,axiom,
~ equal(op(e1,e3),op(e0,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(54,axiom,
~ equal(op(e2,e3),op(e0,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(56,axiom,
~ equal(op(e4,e3),op(e0,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(59,axiom,
~ equal(op(e4,e3),op(e1,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(61,axiom,
~ equal(op(e4,e3),op(e2,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(62,axiom,
~ equal(op(e4,e3),op(e3,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(63,axiom,
~ equal(op(e1,e4),op(e0,e4)),
file('ALG068+1.p',unknown),
[] ).
cnf(67,axiom,
~ equal(op(e2,e4),op(e1,e4)),
file('ALG068+1.p',unknown),
[] ).
cnf(71,axiom,
~ equal(op(e4,e4),op(e2,e4)),
file('ALG068+1.p',unknown),
[] ).
cnf(75,axiom,
~ equal(op(e0,e3),op(e0,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(77,axiom,
~ equal(op(e0,e2),op(e0,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(78,axiom,
~ equal(op(e0,e3),op(e0,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(79,axiom,
~ equal(op(e0,e4),op(e0,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(80,axiom,
~ equal(op(e0,e3),op(e0,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(81,axiom,
~ equal(op(e0,e4),op(e0,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(82,axiom,
~ equal(op(e0,e4),op(e0,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(85,axiom,
~ equal(op(e1,e3),op(e1,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(86,axiom,
~ equal(op(e1,e4),op(e1,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(87,axiom,
~ equal(op(e1,e2),op(e1,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(88,axiom,
~ equal(op(e1,e3),op(e1,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(89,axiom,
~ equal(op(e1,e4),op(e1,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(92,axiom,
~ equal(op(e1,e4),op(e1,e3)),
file('ALG068+1.p',unknown),
[] ).
cnf(93,axiom,
~ equal(op(e2,e1),op(e2,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(94,axiom,
~ equal(op(e2,e2),op(e2,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(95,axiom,
~ equal(op(e2,e3),op(e2,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(96,axiom,
~ equal(op(e2,e4),op(e2,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(99,axiom,
~ equal(op(e2,e4),op(e2,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(101,axiom,
~ equal(op(e2,e4),op(e2,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(103,axiom,
~ equal(op(e3,e1),op(e3,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(104,axiom,
~ equal(op(e3,e2),op(e3,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(107,axiom,
~ equal(op(e3,e2),op(e3,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(109,axiom,
~ equal(op(e3,e4),op(e3,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(116,axiom,
~ equal(op(e4,e4),op(e4,e0)),
file('ALG068+1.p',unknown),
[] ).
cnf(118,axiom,
~ equal(op(e4,e3),op(e4,e1)),
file('ALG068+1.p',unknown),
[] ).
cnf(120,axiom,
~ equal(op(e4,e3),op(e4,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(121,axiom,
~ equal(op(e4,e4),op(e4,e2)),
file('ALG068+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ skC0
| equal(op(op(e0,e0),e0),e0) ),
file('ALG068+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ skC6
| equal(op(op(e1,e1),e1),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ skC7
| equal(op(op(e1,e2),e2),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ skC8
| equal(op(op(e1,e3),e3),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ skC9
| equal(op(op(e1,e4),e4),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ skC11
| equal(op(op(e2,e1),e1),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ skC12
| equal(op(op(e2,e2),e2),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ skC13
| equal(op(op(e2,e3),e3),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ skC14
| equal(op(op(e2,e4),e4),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ skC17
| equal(op(op(e3,e2),e2),e3) ),
file('ALG068+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ skC18
| equal(op(op(e3,e3),e3),e3) ),
file('ALG068+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ skC19
| equal(op(op(e3,e4),e4),e3) ),
file('ALG068+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ skC23
| equal(op(op(e4,e3),e3),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(147,axiom,
equal(op(op(e4,e2),op(e4,e2)),e0),
file('ALG068+1.p',unknown),
[] ).
cnf(149,axiom,
( ~ equal(op(op(e0,e0),e0),e0)
| ~ skC0 ),
file('ALG068+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ equal(op(e1,e0),op(e0,e1))
| ~ skC1 ),
file('ALG068+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ skC2
| ~ equal(op(e2,e0),op(e0,e2)) ),
file('ALG068+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ skC3
| ~ equal(op(e3,e0),op(e0,e3)) ),
file('ALG068+1.p',unknown),
[] ).
cnf(156,axiom,
( ~ skC4
| ~ equal(op(e4,e0),op(e0,e4)) ),
file('ALG068+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ equal(op(op(e1,e0),e1),e0)
| ~ skC5 ),
file('ALG068+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ equal(op(op(e1,e1),e1),e1)
| ~ skC6 ),
file('ALG068+1.p',unknown),
[] ).
cnf(168,axiom,
( ~ skC10
| ~ equal(op(e2,e0),op(e0,e2)) ),
file('ALG068+1.p',unknown),
[] ).
cnf(173,axiom,
( ~ equal(op(op(e2,e2),e2),e2)
| ~ skC12 ),
file('ALG068+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ skC15
| ~ equal(op(e3,e0),op(e0,e3)) ),
file('ALG068+1.p',unknown),
[] ).
cnf(181,axiom,
( ~ skC16
| ~ equal(op(op(e3,e1),e3),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ equal(op(op(e3,e3),e3),e3)
| ~ skC18 ),
file('ALG068+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ skC20
| ~ equal(op(op(e4,e0),e4),e0) ),
file('ALG068+1.p',unknown),
[] ).
cnf(191,axiom,
( ~ skC21
| ~ equal(op(op(e4,e1),e4),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(193,axiom,
( ~ equal(op(op(e4,e2),e4),e2)
| ~ skC22 ),
file('ALG068+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ equal(op(e0,e0),e3)
| equal(op(e0,e3),e0) ),
file('ALG068+1.p',unknown),
[] ).
cnf(199,axiom,
( ~ equal(op(e0,e0),e4)
| equal(op(e0,e4),e0) ),
file('ALG068+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ equal(op(e1,e1),e0)
| equal(op(e1,e0),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ equal(op(e2,e2),e0)
| equal(op(e2,e0),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(207,axiom,
( ~ equal(op(e2,e2),e4)
| equal(op(e2,e4),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ equal(op(e3,e3),e1)
| equal(op(e3,e1),e3) ),
file('ALG068+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ equal(op(e4,e4),e0)
| equal(op(e4,e0),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ equal(op(e4,e4),e2)
| equal(op(e4,e2),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(216,axiom,
( equal(e4,unit)
| equal(e3,unit)
| equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
file('ALG068+1.p',unknown),
[] ).
cnf(217,axiom,
( equal(op(e0,e4),e4)
| equal(op(e1,e4),e4)
| equal(op(e2,e4),e4)
| equal(op(e3,e4),e4)
| equal(op(e4,e4),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(220,axiom,
( equal(op(e4,e0),e3)
| equal(op(e4,e1),e3)
| equal(op(e4,e2),e3)
| equal(op(e4,e3),e3)
| equal(op(e4,e4),e3) ),
file('ALG068+1.p',unknown),
[] ).
cnf(222,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('ALG068+1.p',unknown),
[] ).
cnf(223,axiom,
( equal(op(e0,e4),e1)
| equal(op(e1,e4),e1)
| equal(op(e2,e4),e1)
| equal(op(e3,e4),e1)
| equal(op(e4,e4),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(225,axiom,
( equal(op(e0,e4),e0)
| equal(op(e1,e4),e0)
| equal(op(e2,e4),e0)
| equal(op(e3,e4),e0)
| equal(op(e4,e4),e0) ),
file('ALG068+1.p',unknown),
[] ).
cnf(232,axiom,
( equal(op(e3,e3),e2)
| equal(op(e3,e2),e2)
| equal(op(e3,e4),e2)
| equal(op(e3,e1),e2)
| equal(op(e3,e0),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(234,axiom,
( equal(op(e3,e0),e1)
| equal(op(e3,e1),e1)
| equal(op(e3,e2),e1)
| equal(op(e3,e3),e1)
| equal(op(e3,e4),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(237,axiom,
( equal(op(e0,e2),e4)
| equal(op(e1,e2),e4)
| equal(op(e2,e2),e4)
| equal(op(e3,e2),e4)
| equal(op(e4,e2),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(238,axiom,
( equal(op(e2,e0),e4)
| equal(op(e2,e1),e4)
| equal(op(e2,e2),e4)
| equal(op(e2,e3),e4)
| equal(op(e2,e4),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(241,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('ALG068+1.p',unknown),
[] ).
cnf(244,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('ALG068+1.p',unknown),
[] ).
cnf(245,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('ALG068+1.p',unknown),
[] ).
cnf(246,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('ALG068+1.p',unknown),
[] ).
cnf(247,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('ALG068+1.p',unknown),
[] ).
cnf(249,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('ALG068+1.p',unknown),
[] ).
cnf(250,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('ALG068+1.p',unknown),
[] ).
cnf(251,axiom,
( equal(op(e0,e1),e2)
| equal(op(e1,e1),e2)
| equal(op(e2,e1),e2)
| equal(op(e3,e1),e2)
| equal(op(e4,e1),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(252,axiom,
( equal(op(e1,e0),e2)
| equal(op(e1,e1),e2)
| equal(op(e1,e2),e2)
| equal(op(e1,e3),e2)
| equal(op(e1,e4),e2) ),
file('ALG068+1.p',unknown),
[] ).
cnf(257,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('ALG068+1.p',unknown),
[] ).
cnf(259,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('ALG068+1.p',unknown),
[] ).
cnf(267,axiom,
( equal(op(e4,e4),e0)
| equal(op(e4,e4),e1)
| equal(op(e4,e4),e2)
| equal(op(e4,e4),e3)
| equal(op(e4,e4),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(279,axiom,
( equal(op(e2,e2),e0)
| equal(op(e2,e2),e1)
| equal(op(e2,e2),e2)
| equal(op(e2,e2),e3)
| equal(op(e2,e2),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(281,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('ALG068+1.p',unknown),
[] ).
cnf(282,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('ALG068+1.p',unknown),
[] ).
cnf(283,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('ALG068+1.p',unknown),
[] ).
cnf(288,axiom,
( equal(op(e0,e3),e3)
| equal(op(e0,e3),e0)
| equal(op(e0,e3),e4)
| equal(op(e0,e3),e2)
| equal(op(e0,e3),e1) ),
file('ALG068+1.p',unknown),
[] ).
cnf(291,axiom,
( equal(op(e0,e0),e0)
| equal(op(e0,e0),e1)
| equal(op(e0,e0),e2)
| equal(op(e0,e0),e3)
| equal(op(e0,e0),e4) ),
file('ALG068+1.p',unknown),
[] ).
cnf(292,axiom,
( equal(op(op(e4,e4),e4),e4)
| skC0
| skC1
| skC2
| skC3
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23 ),
file('ALG068+1.p',unknown),
[] ).
cnf(293,axiom,
( ~ equal(op(op(e4,e4),e4),e4)
| skC0
| skC1
| skC2
| skC3
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23 ),
file('ALG068+1.p',unknown),
[] ).
cnf(295,plain,
~ equal(op(e4,e4),e1),
inference(rew,[status(thm),theory(equality)],[21,121]),
[iquote('0:Rew:21.0,121.0')] ).
cnf(296,plain,
~ equal(op(e4,e3),e1),
inference(rew,[status(thm),theory(equality)],[21,120]),
[iquote('0:Rew:21.0,120.0')] ).
cnf(300,plain,
~ equal(op(e2,e2),e3),
inference(rew,[status(thm),theory(equality)],[22,101]),
[iquote('0:Rew:22.0,101.0')] ).
cnf(301,plain,
~ equal(op(e2,e1),e3),
inference(rew,[status(thm),theory(equality)],[22,99]),
[iquote('0:Rew:22.0,99.0')] ).
cnf(302,plain,
~ equal(op(e2,e0),e3),
inference(rew,[status(thm),theory(equality)],[22,96]),
[iquote('0:Rew:22.0,96.0')] ).
cnf(303,plain,
~ equal(op(e4,e4),e3),
inference(rew,[status(thm),theory(equality)],[22,71]),
[iquote('0:Rew:22.0,71.0')] ).
cnf(305,plain,
~ equal(op(e1,e4),e3),
inference(rew,[status(thm),theory(equality)],[22,67]),
[iquote('0:Rew:22.0,67.0')] ).
cnf(307,plain,
~ equal(op(e3,e2),e1),
inference(rew,[status(thm),theory(equality)],[21,52]),
[iquote('0:Rew:21.0,52.0')] ).
cnf(308,plain,
~ equal(op(e2,e2),e1),
inference(rew,[status(thm),theory(equality)],[21,51]),
[iquote('0:Rew:21.0,51.0')] ).
cnf(311,plain,
equal(op(e1,e1),e0),
inference(rew,[status(thm),theory(equality)],[21,147]),
[iquote('0:Rew:21.0,147.0')] ).
cnf(312,plain,
~ equal(op(e1,e4),e0),
inference(rew,[status(thm),theory(equality)],[311,89]),
[iquote('0:Rew:311.0,89.0')] ).
cnf(313,plain,
~ equal(op(e1,e3),e0),
inference(rew,[status(thm),theory(equality)],[311,88]),
[iquote('0:Rew:311.0,88.0')] ).
cnf(314,plain,
~ equal(op(e1,e2),e0),
inference(rew,[status(thm),theory(equality)],[311,87]),
[iquote('0:Rew:311.0,87.0')] ).
cnf(318,plain,
~ equal(op(e2,e1),e0),
inference(rew,[status(thm),theory(equality)],[311,37]),
[iquote('0:Rew:311.0,37.0')] ).
cnf(321,plain,
( ~ skC14
| equal(op(e3,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[22,137]),
[iquote('0:Rew:22.0,137.1')] ).
cnf(322,plain,
( ~ skC6
| equal(op(e0,e1),e1) ),
inference(rew,[status(thm),theory(equality)],[311,129]),
[iquote('0:Rew:311.0,129.1')] ).
cnf(323,plain,
( ~ skC22
| ~ equal(op(e1,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[21,193]),
[iquote('0:Rew:21.0,193.0')] ).
cnf(325,plain,
( ~ equal(e3,e3)
| ~ skC18 ),
inference(rew,[status(thm),theory(equality)],[141,185]),
[iquote('0:Rew:141.1,185.0')] ).
cnf(326,plain,
~ skC18,
inference(obv,[status(thm),theory(equality)],[325]),
[iquote('0:Obv:325.0')] ).
cnf(330,plain,
( ~ equal(e2,e2)
| ~ skC12 ),
inference(rew,[status(thm),theory(equality)],[135,173]),
[iquote('0:Rew:135.1,173.0')] ).
cnf(331,plain,
~ skC12,
inference(obv,[status(thm),theory(equality)],[330]),
[iquote('0:Obv:330.0')] ).
cnf(333,plain,
( ~ equal(e1,e1)
| ~ skC6 ),
inference(rew,[status(thm),theory(equality)],[322,161,311]),
[iquote('0:Rew:322.1,161.0,311.0,161.0')] ).
cnf(334,plain,
~ skC6,
inference(obv,[status(thm),theory(equality)],[333]),
[iquote('0:Obv:333.0')] ).
cnf(336,plain,
( ~ equal(e0,e0)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[123,149]),
[iquote('0:Rew:123.1,149.0')] ).
cnf(337,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[336]),
[iquote('0:Obv:336.0')] ).
cnf(339,plain,
( ~ equal(op(e4,e4),e2)
| equal(e4,e1) ),
inference(rew,[status(thm),theory(equality)],[21,214]),
[iquote('0:Rew:21.0,214.1')] ).
cnf(340,plain,
~ equal(op(e4,e4),e2),
inference(mrr,[status(thm)],[339,7]),
[iquote('0:MRR:339.1,7.0')] ).
cnf(342,plain,
( ~ equal(op(e2,e2),e4)
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[22,207]),
[iquote('0:Rew:22.0,207.1')] ).
cnf(343,plain,
~ equal(op(e2,e2),e4),
inference(mrr,[status(thm)],[342,8]),
[iquote('0:MRR:342.1,8.0')] ).
cnf(347,plain,
( ~ equal(e0,e0)
| equal(op(e1,e0),e1) ),
inference(rew,[status(thm),theory(equality)],[311,200]),
[iquote('0:Rew:311.0,200.0')] ).
cnf(348,plain,
equal(op(e1,e0),e1),
inference(obv,[status(thm),theory(equality)],[347]),
[iquote('0:Obv:347.0')] ).
cnf(349,plain,
~ equal(op(e1,e4),e1),
inference(rew,[status(thm),theory(equality)],[348,86]),
[iquote('0:Rew:348.0,86.0')] ).
cnf(350,plain,
~ equal(op(e1,e3),e1),
inference(rew,[status(thm),theory(equality)],[348,85]),
[iquote('0:Rew:348.0,85.0')] ).
cnf(353,plain,
~ equal(op(e3,e0),e1),
inference(rew,[status(thm),theory(equality)],[348,28]),
[iquote('0:Rew:348.0,28.0')] ).
cnf(354,plain,
~ equal(op(e2,e0),e1),
inference(rew,[status(thm),theory(equality)],[348,27]),
[iquote('0:Rew:348.0,27.0')] ).
cnf(355,plain,
~ equal(op(e0,e0),e1),
inference(rew,[status(thm),theory(equality)],[348,23]),
[iquote('0:Rew:348.0,23.0')] ).
cnf(358,plain,
( ~ equal(op(e1,e1),e0)
| ~ skC5 ),
inference(rew,[status(thm),theory(equality)],[348,159]),
[iquote('0:Rew:348.0,159.0')] ).
cnf(359,plain,
( ~ skC1
| ~ equal(op(e0,e1),e1) ),
inference(rew,[status(thm),theory(equality)],[348,150]),
[iquote('0:Rew:348.0,150.0')] ).
cnf(361,plain,
( ~ equal(e0,e0)
| ~ skC5 ),
inference(rew,[status(thm),theory(equality)],[311,358]),
[iquote('0:Rew:311.0,358.0')] ).
cnf(362,plain,
~ skC5,
inference(obv,[status(thm),theory(equality)],[361]),
[iquote('0:Obv:361.0')] ).
cnf(363,plain,
( equal(op(e0,e4),e4)
| equal(op(e1,e4),e4)
| equal(e4,e3)
| equal(op(e3,e4),e4)
| equal(op(e4,e4),e4) ),
inference(rew,[status(thm),theory(equality)],[22,217]),
[iquote('0:Rew:22.0,217.2')] ).
cnf(364,plain,
( equal(op(e4,e4),e4)
| equal(op(e3,e4),e4)
| equal(op(e1,e4),e4)
| equal(op(e0,e4),e4) ),
inference(mrr,[status(thm)],[363,10]),
[iquote('0:MRR:363.2,10.0')] ).
cnf(367,plain,
( equal(op(e4,e0),e3)
| equal(op(e4,e1),e3)
| equal(e3,e1)
| equal(op(e4,e3),e3)
| equal(op(e4,e4),e3) ),
inference(rew,[status(thm),theory(equality)],[21,220]),
[iquote('0:Rew:21.0,220.2')] ).
cnf(368,plain,
( equal(op(e4,e3),e3)
| equal(op(e4,e1),e3)
| equal(op(e4,e0),e3) ),
inference(mrr,[status(thm)],[367,6,303]),
[iquote('0:MRR:367.2,367.4,6.0,303.0')] ).
cnf(371,plain,
( equal(op(e4,e0),e2)
| equal(op(e4,e1),e2)
| equal(e2,e1)
| equal(op(e4,e3),e2)
| equal(op(e4,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[21,222]),
[iquote('0:Rew:21.0,222.2')] ).
cnf(372,plain,
( equal(op(e4,e3),e2)
| equal(op(e4,e1),e2)
| equal(op(e4,e0),e2) ),
inference(mrr,[status(thm)],[371,5,340]),
[iquote('0:MRR:371.2,371.4,5.0,340.0')] ).
cnf(373,plain,
( equal(op(e0,e4),e1)
| equal(op(e1,e4),e1)
| equal(e3,e1)
| equal(op(e3,e4),e1)
| equal(op(e4,e4),e1) ),
inference(rew,[status(thm),theory(equality)],[22,223]),
[iquote('0:Rew:22.0,223.2')] ).
cnf(374,plain,
( equal(op(e3,e4),e1)
| equal(op(e0,e4),e1) ),
inference(mrr,[status(thm)],[373,349,6,295]),
[iquote('0:MRR:373.1,373.2,373.4,349.0,6.0,295.0')] ).
cnf(375,plain,
( equal(op(e0,e4),e0)
| equal(op(e1,e4),e0)
| equal(e3,e0)
| equal(op(e3,e4),e0)
| equal(op(e4,e4),e0) ),
inference(rew,[status(thm),theory(equality)],[22,225]),
[iquote('0:Rew:22.0,225.2')] ).
cnf(376,plain,
( equal(op(e4,e4),e0)
| equal(op(e0,e4),e0)
| equal(op(e3,e4),e0) ),
inference(mrr,[status(thm)],[375,312,3]),
[iquote('0:MRR:375.1,375.2,312.0,3.0')] ).
cnf(384,plain,
( equal(op(e3,e3),e1)
| equal(op(e3,e1),e1)
| equal(op(e3,e4),e1) ),
inference(mrr,[status(thm)],[234,353,307]),
[iquote('0:MRR:234.0,234.2,353.0,307.0')] ).
cnf(387,plain,
( equal(op(e0,e2),e4)
| equal(op(e1,e2),e4)
| equal(op(e2,e2),e4)
| equal(op(e3,e2),e4)
| equal(e4,e1) ),
inference(rew,[status(thm),theory(equality)],[21,237]),
[iquote('0:Rew:21.0,237.4')] ).
cnf(388,plain,
( equal(op(e3,e2),e4)
| equal(op(e1,e2),e4)
| equal(op(e0,e2),e4) ),
inference(mrr,[status(thm)],[387,343,7]),
[iquote('0:MRR:387.2,387.4,343.0,7.0')] ).
cnf(389,plain,
( equal(op(e2,e0),e4)
| equal(op(e2,e1),e4)
| equal(op(e2,e2),e4)
| equal(op(e2,e3),e4)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[22,238]),
[iquote('0:Rew:22.0,238.4')] ).
cnf(390,plain,
( equal(op(e2,e3),e4)
| equal(op(e2,e1),e4)
| equal(op(e2,e0),e4) ),
inference(mrr,[status(thm)],[389,343,10]),
[iquote('0:MRR:389.2,389.4,343.0,10.0')] ).
cnf(393,plain,
( equal(op(e0,e2),e2)
| equal(op(e1,e2),e2)
| equal(op(e2,e2),e2)
| equal(op(e3,e2),e2)
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[21,241]),
[iquote('0:Rew:21.0,241.4')] ).
cnf(394,plain,
( equal(op(e2,e2),e2)
| equal(op(e3,e2),e2)
| equal(op(e1,e2),e2)
| equal(op(e0,e2),e2) ),
inference(mrr,[status(thm)],[393,5]),
[iquote('0:MRR:393.4,5.0')] ).
cnf(397,plain,
( equal(op(e2,e0),e1)
| equal(op(e2,e1),e1)
| equal(op(e2,e2),e1)
| equal(op(e2,e3),e1)
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[22,244]),
[iquote('0:Rew:22.0,244.4')] ).
cnf(398,plain,
( equal(op(e2,e1),e1)
| equal(op(e2,e3),e1) ),
inference(mrr,[status(thm)],[397,354,308,6]),
[iquote('0:MRR:397.0,397.2,397.4,354.0,308.0,6.0')] ).
cnf(399,plain,
( equal(op(e0,e2),e0)
| equal(op(e1,e2),e0)
| equal(op(e2,e2),e0)
| equal(op(e3,e2),e0)
| equal(e1,e0) ),
inference(rew,[status(thm),theory(equality)],[21,245]),
[iquote('0:Rew:21.0,245.4')] ).
cnf(400,plain,
( equal(op(e2,e2),e0)
| equal(op(e0,e2),e0)
| equal(op(e3,e2),e0) ),
inference(mrr,[status(thm)],[399,314,1]),
[iquote('0:MRR:399.1,399.4,314.0,1.0')] ).
cnf(401,plain,
( equal(op(e2,e0),e0)
| equal(op(e2,e1),e0)
| equal(op(e2,e2),e0)
| equal(op(e2,e3),e0)
| equal(e3,e0) ),
inference(rew,[status(thm),theory(equality)],[22,246]),
[iquote('0:Rew:22.0,246.4')] ).
cnf(402,plain,
( equal(op(e2,e2),e0)
| equal(op(e2,e0),e0)
| equal(op(e2,e3),e0) ),
inference(mrr,[status(thm)],[401,318,3]),
[iquote('0:MRR:401.1,401.4,318.0,3.0')] ).
cnf(403,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)],[311,247]),
[iquote('0:Rew:311.0,247.1')] ).
cnf(404,plain,
( equal(op(e4,e1),e4)
| equal(op(e3,e1),e4)
| equal(op(e2,e1),e4)
| equal(op(e0,e1),e4) ),
inference(mrr,[status(thm)],[403,4]),
[iquote('0:MRR:403.1,4.0')] ).
cnf(407,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)],[311,249]),
[iquote('0:Rew:311.0,249.1')] ).
cnf(408,plain,
( equal(op(e3,e1),e3)
| equal(op(e4,e1),e3)
| equal(op(e0,e1),e3) ),
inference(mrr,[status(thm)],[407,3,301]),
[iquote('0:MRR:407.1,407.2,3.0,301.0')] ).
cnf(409,plain,
( equal(e3,e1)
| equal(e3,e0)
| equal(op(e1,e2),e3)
| equal(op(e1,e3),e3)
| equal(op(e1,e4),e3) ),
inference(rew,[status(thm),theory(equality)],[311,250,348]),
[iquote('0:Rew:311.0,250.1,348.0,250.0')] ).
cnf(410,plain,
( equal(op(e1,e3),e3)
| equal(op(e1,e2),e3) ),
inference(mrr,[status(thm)],[409,6,3,305]),
[iquote('0:MRR:409.0,409.1,409.4,6.0,3.0,305.0')] ).
cnf(411,plain,
( equal(op(e0,e1),e2)
| equal(e2,e0)
| equal(op(e2,e1),e2)
| equal(op(e3,e1),e2)
| equal(op(e4,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[311,251]),
[iquote('0:Rew:311.0,251.1')] ).
cnf(412,plain,
( equal(op(e2,e1),e2)
| equal(op(e4,e1),e2)
| equal(op(e3,e1),e2)
| equal(op(e0,e1),e2) ),
inference(mrr,[status(thm)],[411,2]),
[iquote('0:MRR:411.1,2.0')] ).
cnf(413,plain,
( equal(e2,e1)
| equal(e2,e0)
| equal(op(e1,e2),e2)
| equal(op(e1,e3),e2)
| equal(op(e1,e4),e2) ),
inference(rew,[status(thm),theory(equality)],[311,252,348]),
[iquote('0:Rew:311.0,252.1,348.0,252.0')] ).
cnf(414,plain,
( equal(op(e1,e2),e2)
| equal(op(e1,e4),e2)
| equal(op(e1,e3),e2) ),
inference(mrr,[status(thm)],[413,5,2]),
[iquote('0:MRR:413.0,413.1,5.0,2.0')] ).
cnf(417,plain,
( equal(op(e0,e0),e4)
| equal(e4,e1)
| equal(op(e2,e0),e4)
| equal(op(e3,e0),e4)
| equal(op(e4,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[348,257]),
[iquote('0:Rew:348.0,257.1')] ).
cnf(418,plain,
( equal(op(e4,e0),e4)
| equal(op(e0,e0),e4)
| equal(op(e3,e0),e4)
| equal(op(e2,e0),e4) ),
inference(mrr,[status(thm)],[417,7]),
[iquote('0:MRR:417.1,7.0')] ).
cnf(419,plain,
( equal(op(e0,e0),e3)
| equal(e3,e1)
| equal(op(e2,e0),e3)
| equal(op(e3,e0),e3)
| equal(op(e4,e0),e3) ),
inference(rew,[status(thm),theory(equality)],[348,259]),
[iquote('0:Rew:348.0,259.1')] ).
cnf(420,plain,
( equal(op(e3,e0),e3)
| equal(op(e0,e0),e3)
| equal(op(e4,e0),e3) ),
inference(mrr,[status(thm)],[419,6,302]),
[iquote('0:MRR:419.1,419.2,6.0,302.0')] ).
cnf(428,plain,
( equal(op(e4,e4),e4)
| equal(op(e4,e4),e0) ),
inference(mrr,[status(thm)],[267,295,340,303]),
[iquote('0:MRR:267.1,267.2,267.3,295.0,340.0,303.0')] ).
cnf(438,plain,
( equal(op(e2,e2),e2)
| equal(op(e2,e2),e0) ),
inference(mrr,[status(thm)],[279,308,300,343]),
[iquote('0:MRR:279.1,279.3,279.4,308.0,300.0,343.0')] ).
cnf(440,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e0)
| equal(op(e2,e0),e4) ),
inference(mrr,[status(thm)],[281,354,302]),
[iquote('0:MRR:281.1,281.3,354.0,302.0')] ).
cnf(441,plain,
( equal(op(e1,e4),e4)
| equal(op(e1,e4),e2) ),
inference(mrr,[status(thm)],[282,312,349,305]),
[iquote('0:MRR:282.0,282.1,282.3,312.0,349.0,305.0')] ).
cnf(442,plain,
( equal(op(e1,e3),e3)
| equal(op(e1,e3),e4)
| equal(op(e1,e3),e2) ),
inference(mrr,[status(thm)],[283,313,350]),
[iquote('0:MRR:283.0,283.1,313.0,350.0')] ).
cnf(447,plain,
( equal(op(e0,e0),e0)
| equal(op(e0,e0),e4)
| equal(op(e0,e0),e3)
| equal(op(e0,e0),e2) ),
inference(mrr,[status(thm)],[291,355]),
[iquote('0:MRR:291.1,355.0')] ).
cnf(448,plain,
( equal(op(op(e4,e4),e4),e4)
| skC1
| skC2
| skC3
| skC4
| skC7
| skC8
| skC9
| skC10
| skC11
| skC13
| skC14
| skC15
| skC16
| skC17
| skC19
| skC20
| skC21
| skC22
| skC23 ),
inference(mrr,[status(thm)],[292,337,362,334,331,326]),
[iquote('0:MRR:292.1,292.6,292.7,292.13,292.19,337.0,362.0,334.0,331.0,326.0')] ).
cnf(449,plain,
( ~ equal(e4,e4)
| skC0
| skC1
| skC2
| skC3
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23 ),
inference(rew,[status(thm),theory(equality)],[448,293]),
[iquote('0:Rew:448.0,293.0')] ).
cnf(450,plain,
( skC0
| skC1
| skC2
| skC3
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23 ),
inference(obv,[status(thm),theory(equality)],[449]),
[iquote('0:Obv:449.0')] ).
cnf(451,plain,
( skC23
| skC22
| skC21
| skC20
| skC19
| skC17
| skC16
| skC15
| skC14
| skC13
| skC11
| skC10
| skC9
| skC8
| skC7
| skC4
| skC3
| skC2
| skC1 ),
inference(mrr,[status(thm)],[450,337,362,334,331,326]),
[iquote('0:MRR:450.0,450.5,450.6,450.12,450.18,337.0,362.0,334.0,331.0,326.0')] ).
cnf(453,plain,
equal(e3,unit),
inference(spt,[spt(split,[position(s1)])],[216]),
[iquote('1:Spt:216.1')] ).
cnf(463,plain,
~ equal(op(e4,e1),op(e4,unit)),
inference(rew,[status(thm),theory(equality)],[453,118]),
[iquote('1:Rew:453.0,118.0')] ).
cnf(489,plain,
( equal(op(unit,e2),e4)
| equal(op(e1,e2),e4)
| equal(op(e0,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[453,388]),
[iquote('1:Rew:453.0,388.0')] ).
cnf(496,plain,
~ equal(op(e2,e2),op(unit,e2)),
inference(rew,[status(thm),theory(equality)],[453,50]),
[iquote('1:Rew:453.0,50.0')] ).
cnf(499,plain,
( equal(op(e4,e1),e4)
| equal(op(unit,e1),e4)
| equal(op(e2,e1),e4)
| equal(op(e0,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[453,404]),
[iquote('1:Rew:453.0,404.1')] ).
cnf(531,plain,
~ equal(op(e2,e0),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[453,95]),
[iquote('1:Rew:453.0,95.0')] ).
cnf(572,plain,
( equal(op(e1,unit),unit)
| equal(op(e1,e2),e3) ),
inference(rew,[status(thm),theory(equality)],[453,410]),
[iquote('1:Rew:453.0,410.0')] ).
cnf(576,plain,
~ equal(e4,unit),
inference(rew,[status(thm),theory(equality)],[453,10]),
[iquote('1:Rew:453.0,10.0')] ).
cnf(578,plain,
~ equal(e1,unit),
inference(rew,[status(thm),theory(equality)],[453,6]),
[iquote('1:Rew:453.0,6.0')] ).
cnf(633,plain,
~ equal(op(e4,e1),e4),
inference(rew,[status(thm),theory(equality)],[20,463]),
[iquote('1:Rew:20.0,463.0')] ).
cnf(657,plain,
~ equal(op(e2,e2),e2),
inference(rew,[status(thm),theory(equality)],[15,496]),
[iquote('1:Rew:15.0,496.0')] ).
cnf(658,plain,
equal(op(e2,e2),e0),
inference(mrr,[status(thm)],[438,657]),
[iquote('1:MRR:438.0,657.0')] ).
cnf(663,plain,
~ equal(op(e2,e0),e0),
inference(rew,[status(thm),theory(equality)],[658,94]),
[iquote('1:Rew:658.0,94.0')] ).
cnf(668,plain,
( equal(op(e2,e0),e2)
| equal(op(e2,e0),e4) ),
inference(mrr,[status(thm)],[440,663]),
[iquote('1:MRR:440.1,663.0')] ).
cnf(688,plain,
~ equal(op(e2,e0),e2),
inference(rew,[status(thm),theory(equality)],[16,531]),
[iquote('1:Rew:16.0,531.0')] ).
cnf(746,plain,
( equal(e1,unit)
| equal(op(e1,e2),unit) ),
inference(rew,[status(thm),theory(equality)],[453,572,14]),
[iquote('1:Rew:453.0,572.1,14.0,572.0')] ).
cnf(747,plain,
equal(op(e1,e2),unit),
inference(mrr,[status(thm)],[746,578]),
[iquote('1:MRR:746.0,578.0')] ).
cnf(758,plain,
equal(op(e2,e0),e4),
inference(mrr,[status(thm)],[668,688]),
[iquote('1:MRR:668.0,688.0')] ).
cnf(762,plain,
~ equal(op(e2,e1),e4),
inference(rew,[status(thm),theory(equality)],[758,93]),
[iquote('1:Rew:758.0,93.0')] ).
cnf(780,plain,
( equal(e4,e2)
| equal(e4,unit)
| equal(op(e0,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[747,489,15]),
[iquote('1:Rew:747.0,489.1,15.0,489.0')] ).
cnf(781,plain,
equal(op(e0,e2),e4),
inference(mrr,[status(thm)],[780,9,576]),
[iquote('1:MRR:780.0,780.1,9.0,576.0')] ).
cnf(783,plain,
~ equal(op(e0,e1),e4),
inference(rew,[status(thm),theory(equality)],[781,77]),
[iquote('1:Rew:781.0,77.0')] ).
cnf(812,plain,
( equal(op(e4,e1),e4)
| equal(e4,e1)
| equal(op(e2,e1),e4)
| equal(op(e0,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[13,499]),
[iquote('1:Rew:13.0,499.1')] ).
cnf(813,plain,
$false,
inference(mrr,[status(thm)],[812,633,7,762,783]),
[iquote('1:MRR:812.0,812.1,812.2,812.3,633.0,7.0,762.0,783.0')] ).
cnf(863,plain,
~ equal(e3,unit),
inference(spt,[spt(split,[position(sa)])],[813,453]),
[iquote('1:Spt:813.0,216.1,453.0')] ).
cnf(864,plain,
( equal(e4,unit)
| equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2)])],[216]),
[iquote('1:Spt:813.0,216.0,216.2,216.3,216.4')] ).
cnf(865,plain,
equal(e4,unit),
inference(spt,[spt(split,[position(s2s1)])],[864]),
[iquote('2:Spt:864.0')] ).
cnf(866,plain,
~ equal(e2,unit),
inference(rew,[status(thm),theory(equality)],[865,9]),
[iquote('2:Rew:865.0,9.0')] ).
cnf(867,plain,
~ equal(e1,unit),
inference(rew,[status(thm),theory(equality)],[865,7]),
[iquote('2:Rew:865.0,7.0')] ).
cnf(868,plain,
~ equal(e0,unit),
inference(rew,[status(thm),theory(equality)],[865,4]),
[iquote('2:Rew:865.0,4.0')] ).
cnf(875,plain,
~ equal(op(e0,e3),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[865,82]),
[iquote('2:Rew:865.0,82.0')] ).
cnf(893,plain,
( equal(op(e1,e2),e2)
| equal(op(e1,unit),e2)
| equal(op(e1,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[865,414]),
[iquote('2:Rew:865.0,414.1')] ).
cnf(901,plain,
~ equal(op(e3,e1),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[865,109]),
[iquote('2:Rew:865.0,109.0')] ).
cnf(919,plain,
~ equal(op(e0,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[865,56]),
[iquote('2:Rew:865.0,56.0')] ).
cnf(920,plain,
~ equal(op(e1,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[865,59]),
[iquote('2:Rew:865.0,59.0')] ).
cnf(937,plain,
~ equal(op(e2,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[865,31]),
[iquote('2:Rew:865.0,31.0')] ).
cnf(952,plain,
~ equal(op(e2,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[865,41]),
[iquote('2:Rew:865.0,41.0')] ).
cnf(955,plain,
( equal(op(e3,e1),e3)
| equal(op(unit,e1),e3)
| equal(op(e0,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[865,408]),
[iquote('2:Rew:865.0,408.1')] ).
cnf(957,plain,
( equal(op(e2,e1),e2)
| equal(op(unit,e1),e2)
| equal(op(e3,e1),e2)
| equal(op(e0,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[865,412]),
[iquote('2:Rew:865.0,412.1')] ).
cnf(958,plain,
( equal(op(e3,e2),e4)
| equal(op(e1,e2),unit)
| equal(op(e0,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[865,388]),
[iquote('2:Rew:865.0,388.1')] ).
cnf(979,plain,
( equal(op(unit,e0),unit)
| equal(op(e0,e0),e4)
| equal(op(e3,e0),e4)
| equal(op(e2,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[865,418]),
[iquote('2:Rew:865.0,418.0')] ).
cnf(986,plain,
( equal(op(e2,e3),unit)
| equal(op(e2,e1),e4)
| equal(op(e2,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[865,390]),
[iquote('2:Rew:865.0,390.0')] ).
cnf(990,plain,
( equal(op(e0,e3),e3)
| equal(op(e0,e3),e0)
| equal(op(e0,e3),unit)
| equal(op(e0,e3),e2)
| equal(op(e0,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[865,288]),
[iquote('2:Rew:865.0,288.2')] ).
cnf(1016,plain,
~ equal(op(e0,e3),e0),
inference(rew,[status(thm),theory(equality)],[12,875]),
[iquote('2:Rew:12.0,875.0')] ).
cnf(1032,plain,
~ equal(op(e3,e1),e3),
inference(rew,[status(thm),theory(equality)],[18,901]),
[iquote('2:Rew:18.0,901.0')] ).
cnf(1044,plain,
~ equal(op(e0,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,919]),
[iquote('2:Rew:17.0,919.0')] ).
cnf(1045,plain,
~ equal(op(e1,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,920]),
[iquote('2:Rew:17.0,920.0')] ).
cnf(1046,plain,
equal(op(e1,e2),e3),
inference(mrr,[status(thm)],[410,1045]),
[iquote('2:MRR:410.0,1045.0')] ).
cnf(1057,plain,
( equal(op(e2,e2),e2)
| equal(op(e3,e2),e2)
| equal(e3,e2)
| equal(op(e0,e2),e2) ),
inference(rew,[status(thm),theory(equality)],[1046,394]),
[iquote('2:Rew:1046.0,394.2')] ).
cnf(1067,plain,
~ equal(op(e2,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,937]),
[iquote('2:Rew:11.0,937.0')] ).
cnf(1068,plain,
( equal(op(e2,e2),e0)
| equal(op(e2,e3),e0) ),
inference(mrr,[status(thm)],[402,1067]),
[iquote('2:MRR:402.1,1067.0')] ).
cnf(1076,plain,
~ equal(op(e2,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,952]),
[iquote('2:Rew:13.0,952.0')] ).
cnf(1077,plain,
equal(op(e2,e3),e1),
inference(mrr,[status(thm)],[398,1076]),
[iquote('2:MRR:398.0,1076.0')] ).
cnf(1079,plain,
~ equal(op(e0,e3),e1),
inference(rew,[status(thm),theory(equality)],[1077,54]),
[iquote('2:Rew:1077.0,54.0')] ).
cnf(1113,plain,
( equal(op(e2,e2),e0)
| equal(e1,e0) ),
inference(rew,[status(thm),theory(equality)],[1077,1068]),
[iquote('2:Rew:1077.0,1068.1')] ).
cnf(1114,plain,
equal(op(e2,e2),e0),
inference(mrr,[status(thm)],[1113,1]),
[iquote('2:MRR:1113.1,1.0')] ).
cnf(1121,plain,
( ~ equal(e0,e0)
| equal(op(e2,e0),e2) ),
inference(rew,[status(thm),theory(equality)],[1114,204]),
[iquote('2:Rew:1114.0,204.0')] ).
cnf(1123,plain,
equal(op(e2,e0),e2),
inference(obv,[status(thm),theory(equality)],[1121]),
[iquote('2:Obv:1121.0')] ).
cnf(1142,plain,
( equal(e3,e2)
| equal(e2,e1)
| equal(op(e1,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[14,893,1046]),
[iquote('2:Rew:14.0,893.1,1046.0,893.0')] ).
cnf(1143,plain,
equal(op(e1,e3),e2),
inference(mrr,[status(thm)],[1142,8,5]),
[iquote('2:MRR:1142.0,1142.1,8.0,5.0')] ).
cnf(1146,plain,
~ equal(op(e0,e3),e2),
inference(rew,[status(thm),theory(equality)],[1143,53]),
[iquote('2:Rew:1143.0,53.0')] ).
cnf(1160,plain,
( equal(op(e3,e1),e3)
| equal(e3,e1)
| equal(op(e0,e1),e3) ),
inference(rew,[status(thm),theory(equality)],[13,955]),
[iquote('2:Rew:13.0,955.1')] ).
cnf(1161,plain,
equal(op(e0,e1),e3),
inference(mrr,[status(thm)],[1160,1032,6]),
[iquote('2:MRR:1160.0,1160.1,1032.0,6.0')] ).
cnf(1174,plain,
( equal(op(e3,e2),unit)
| equal(e3,unit)
| equal(op(e0,e2),unit) ),
inference(rew,[status(thm),theory(equality)],[865,958,1046]),
[iquote('2:Rew:865.0,958.2,1046.0,958.1,865.0,958.0')] ).
cnf(1175,plain,
( equal(op(e3,e2),unit)
| equal(op(e0,e2),unit) ),
inference(mrr,[status(thm)],[1174,863]),
[iquote('2:MRR:1174.1,863.0')] ).
cnf(1178,plain,
( equal(e1,unit)
| equal(op(e2,e1),unit)
| equal(e2,unit) ),
inference(rew,[status(thm),theory(equality)],[1123,986,865,1077]),
[iquote('2:Rew:1123.0,986.2,865.0,986.2,865.0,986.1,1077.0,986.0')] ).
cnf(1179,plain,
equal(op(e2,e1),unit),
inference(mrr,[status(thm)],[1178,867,866]),
[iquote('2:MRR:1178.0,1178.2,867.0,866.0')] ).
cnf(1192,plain,
( equal(e2,e0)
| equal(op(e3,e2),e2)
| equal(e3,e2)
| equal(op(e0,e2),e2) ),
inference(rew,[status(thm),theory(equality)],[1114,1057]),
[iquote('2:Rew:1114.0,1057.0')] ).
cnf(1193,plain,
( equal(op(e3,e2),e2)
| equal(op(e0,e2),e2) ),
inference(mrr,[status(thm)],[1192,2,8]),
[iquote('2:MRR:1192.0,1192.2,2.0,8.0')] ).
cnf(1202,plain,
( equal(e2,unit)
| equal(e2,e1)
| equal(op(e3,e1),e2)
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[1161,957,13,1179]),
[iquote('2:Rew:1161.0,957.3,13.0,957.1,1179.0,957.0')] ).
cnf(1203,plain,
equal(op(e3,e1),e2),
inference(mrr,[status(thm)],[1202,866,5,8]),
[iquote('2:MRR:1202.0,1202.1,1202.3,866.0,5.0,8.0')] ).
cnf(1206,plain,
~ equal(op(e3,e2),e2),
inference(rew,[status(thm),theory(equality)],[1203,107]),
[iquote('2:Rew:1203.0,107.0')] ).
cnf(1215,plain,
equal(op(e0,e2),e2),
inference(mrr,[status(thm)],[1193,1206]),
[iquote('2:MRR:1193.0,1206.0')] ).
cnf(1225,plain,
( equal(op(e3,e2),unit)
| equal(e2,unit) ),
inference(rew,[status(thm),theory(equality)],[1215,1175]),
[iquote('2:Rew:1215.0,1175.1')] ).
cnf(1232,plain,
equal(op(e3,e2),unit),
inference(mrr,[status(thm)],[1225,866]),
[iquote('2:MRR:1225.1,866.0')] ).
cnf(1234,plain,
~ equal(op(e3,e0),unit),
inference(rew,[status(thm),theory(equality)],[1232,104]),
[iquote('2:Rew:1232.0,104.0')] ).
cnf(1244,plain,
( equal(e0,unit)
| equal(op(e0,e0),unit)
| equal(op(e3,e0),unit)
| equal(e2,unit) ),
inference(rew,[status(thm),theory(equality)],[1123,979,865,11]),
[iquote('2:Rew:1123.0,979.3,865.0,979.3,865.0,979.2,865.0,979.1,11.0,979.0')] ).
cnf(1245,plain,
equal(op(e0,e0),unit),
inference(mrr,[status(thm)],[1244,868,1234,866]),
[iquote('2:MRR:1244.0,1244.2,1244.3,868.0,1234.0,866.0')] ).
cnf(1247,plain,
~ equal(op(e0,e3),unit),
inference(rew,[status(thm),theory(equality)],[1245,75]),
[iquote('2:Rew:1245.0,75.0')] ).
cnf(1256,plain,
$false,
inference(mrr,[status(thm)],[990,1044,1016,1247,1146,1079]),
[iquote('2:MRR:990.0,990.1,990.2,990.3,990.4,1044.0,1016.0,1247.0,1146.0,1079.0')] ).
cnf(1257,plain,
~ equal(e4,unit),
inference(spt,[spt(split,[position(s2sa)])],[1256,865]),
[iquote('2:Spt:1256.0,864.0,865.0')] ).
cnf(1258,plain,
( equal(e2,unit)
| equal(e1,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2s2)])],[864]),
[iquote('2:Spt:1256.0,864.1,864.2,864.3')] ).
cnf(1259,plain,
equal(e2,unit),
inference(spt,[spt(split,[position(s2s2s1)])],[1258]),
[iquote('3:Spt:1258.0')] ).
cnf(1260,plain,
~ equal(e1,unit),
inference(rew,[status(thm),theory(equality)],[1259,5]),
[iquote('3:Rew:1259.0,5.0')] ).
cnf(1288,plain,
~ equal(op(e4,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[1259,61]),
[iquote('3:Rew:1259.0,61.0')] ).
cnf(1304,plain,
~ equal(op(e0,e0),op(unit,e0)),
inference(rew,[status(thm),theory(equality)],[1259,24]),
[iquote('3:Rew:1259.0,24.0')] ).
cnf(1316,plain,
~ equal(op(e3,e1),op(unit,e1)),
inference(rew,[status(thm),theory(equality)],[1259,40]),
[iquote('3:Rew:1259.0,40.0')] ).
cnf(1321,plain,
( equal(op(e4,e1),e4)
| equal(op(e3,e1),e4)
| equal(op(unit,e1),e4)
| equal(op(e0,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[1259,404]),
[iquote('3:Rew:1259.0,404.2')] ).
cnf(1323,plain,
~ equal(op(e0,e4),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[1259,81]),
[iquote('3:Rew:1259.0,81.0')] ).
cnf(1328,plain,
~ equal(op(e0,e3),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[1259,80]),
[iquote('3:Rew:1259.0,80.0')] ).
cnf(1343,plain,
~ equal(op(e3,e1),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[1259,107]),
[iquote('3:Rew:1259.0,107.0')] ).
cnf(1352,plain,
( equal(op(e3,e3),e2)
| equal(op(e3,e2),e2)
| equal(op(e3,e4),unit)
| equal(op(e3,e1),e2)
| equal(op(e3,e0),e2) ),
inference(rew,[status(thm),theory(equality)],[1259,232]),
[iquote('3:Rew:1259.0,232.2')] ).
cnf(1356,plain,
( equal(op(e1,e2),e2)
| equal(op(e1,e4),unit)
| equal(op(e1,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[1259,414]),
[iquote('3:Rew:1259.0,414.1')] ).
cnf(1374,plain,
( equal(op(e0,e0),e0)
| equal(op(e0,e0),e4)
| equal(op(e0,e0),e3)
| equal(op(e0,e0),unit) ),
inference(rew,[status(thm),theory(equality)],[1259,447]),
[iquote('3:Rew:1259.0,447.3')] ).
cnf(1380,plain,
( equal(op(e4,e3),e2)
| equal(op(e4,e1),unit)
| equal(op(e4,e0),e2) ),
inference(rew,[status(thm),theory(equality)],[1259,372]),
[iquote('3:Rew:1259.0,372.1')] ).
cnf(1413,plain,
~ equal(op(e4,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,1288]),
[iquote('3:Rew:17.0,1288.0')] ).
cnf(1414,plain,
( equal(op(e4,e1),e3)
| equal(op(e4,e0),e3) ),
inference(mrr,[status(thm)],[368,1413]),
[iquote('3:MRR:368.0,1413.0')] ).
cnf(1424,plain,
~ equal(op(e0,e0),e0),
inference(rew,[status(thm),theory(equality)],[11,1304]),
[iquote('3:Rew:11.0,1304.0')] ).
cnf(1432,plain,
~ equal(op(e3,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,1316]),
[iquote('3:Rew:13.0,1316.0')] ).
cnf(1433,plain,
( equal(op(e3,e3),e1)
| equal(op(e3,e4),e1) ),
inference(mrr,[status(thm)],[384,1432]),
[iquote('3:MRR:384.1,1432.0')] ).
cnf(1434,plain,
~ equal(op(e0,e4),e0),
inference(rew,[status(thm),theory(equality)],[12,1323]),
[iquote('3:Rew:12.0,1323.0')] ).
cnf(1435,plain,
~ equal(op(e0,e0),e4),
inference(mrr,[status(thm)],[199,1434]),
[iquote('3:MRR:199.1,1434.0')] ).
cnf(1436,plain,
( equal(op(e4,e4),e0)
| equal(op(e3,e4),e0) ),
inference(mrr,[status(thm)],[376,1434]),
[iquote('3:MRR:376.1,1434.0')] ).
cnf(1441,plain,
~ equal(op(e0,e3),e0),
inference(rew,[status(thm),theory(equality)],[12,1328]),
[iquote('3:Rew:12.0,1328.0')] ).
cnf(1442,plain,
~ equal(op(e0,e0),e3),
inference(mrr,[status(thm)],[198,1441]),
[iquote('3:MRR:198.1,1441.0')] ).
cnf(1448,plain,
~ equal(op(e3,e1),e3),
inference(rew,[status(thm),theory(equality)],[18,1343]),
[iquote('3:Rew:18.0,1343.0')] ).
cnf(1449,plain,
~ equal(op(e3,e3),e1),
inference(mrr,[status(thm)],[209,1448]),
[iquote('3:MRR:209.1,1448.0')] ).
cnf(1476,plain,
equal(op(e3,e4),e1),
inference(mrr,[status(thm)],[1433,1449]),
[iquote('3:MRR:1433.0,1449.0')] ).
cnf(1488,plain,
( equal(op(e4,e4),e4)
| equal(e4,e1)
| equal(op(e1,e4),e4)
| equal(op(e0,e4),e4) ),
inference(rew,[status(thm),theory(equality)],[1476,364]),
[iquote('3:Rew:1476.0,364.1')] ).
cnf(1506,plain,
( equal(op(e4,e4),e0)
| equal(e1,e0) ),
inference(rew,[status(thm),theory(equality)],[1476,1436]),
[iquote('3:Rew:1476.0,1436.1')] ).
cnf(1507,plain,
equal(op(e4,e4),e0),
inference(mrr,[status(thm)],[1506,1]),
[iquote('3:MRR:1506.1,1.0')] ).
cnf(1516,plain,
( ~ equal(e0,e0)
| equal(op(e4,e0),e4) ),
inference(rew,[status(thm),theory(equality)],[1507,212]),
[iquote('3:Rew:1507.0,212.0')] ).
cnf(1518,plain,
equal(op(e4,e0),e4),
inference(obv,[status(thm),theory(equality)],[1516]),
[iquote('3:Obv:1516.0')] ).
cnf(1529,plain,
( equal(op(e4,e1),e3)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[1518,1414]),
[iquote('3:Rew:1518.0,1414.1')] ).
cnf(1532,plain,
equal(op(e4,e1),e3),
inference(mrr,[status(thm)],[1529,10]),
[iquote('3:MRR:1529.1,10.0')] ).
cnf(1561,plain,
( equal(e1,unit)
| equal(op(e1,e4),unit)
| equal(op(e1,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[1259,1356,14]),
[iquote('3:Rew:1259.0,1356.2,14.0,1356.0,1259.0,1356.0')] ).
cnf(1562,plain,
( equal(op(e1,e4),unit)
| equal(op(e1,e3),unit) ),
inference(mrr,[status(thm)],[1561,1260]),
[iquote('3:MRR:1561.0,1260.0')] ).
cnf(1564,plain,
( equal(op(e4,e3),unit)
| equal(e3,unit)
| equal(e4,unit) ),
inference(rew,[status(thm),theory(equality)],[1518,1380,1259,1532]),
[iquote('3:Rew:1518.0,1380.2,1259.0,1380.2,1532.0,1380.1,1259.0,1380.0')] ).
cnf(1565,plain,
equal(op(e4,e3),unit),
inference(mrr,[status(thm)],[1564,863,1257]),
[iquote('3:MRR:1564.1,1564.2,863.0,1257.0')] ).
cnf(1567,plain,
~ equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[1565,62]),
[iquote('3:Rew:1565.0,62.0')] ).
cnf(1568,plain,
~ equal(op(e1,e3),unit),
inference(rew,[status(thm),theory(equality)],[1565,59]),
[iquote('3:Rew:1565.0,59.0')] ).
cnf(1574,plain,
equal(op(e1,e4),unit),
inference(mrr,[status(thm)],[1562,1568]),
[iquote('3:MRR:1562.1,1568.0')] ).
cnf(1603,plain,
( equal(e4,e0)
| equal(e4,e1)
| equal(e4,unit)
| equal(op(e0,e4),e4) ),
inference(rew,[status(thm),theory(equality)],[1574,1488,1507]),
[iquote('3:Rew:1574.0,1488.2,1507.0,1488.0')] ).
cnf(1604,plain,
equal(op(e0,e4),e4),
inference(mrr,[status(thm)],[1603,4,7,1257]),
[iquote('3:MRR:1603.0,1603.1,1603.2,4.0,7.0,1257.0')] ).
cnf(1606,plain,
~ equal(op(e0,e1),e4),
inference(rew,[status(thm),theory(equality)],[1604,79]),
[iquote('3:Rew:1604.0,79.0')] ).
cnf(1620,plain,
( equal(e4,e3)
| equal(op(e3,e1),e4)
| equal(e4,e1)
| equal(op(e0,e1),e4) ),
inference(rew,[status(thm),theory(equality)],[13,1321,1532]),
[iquote('3:Rew:13.0,1321.2,1532.0,1321.0')] ).
cnf(1621,plain,
equal(op(e3,e1),e4),
inference(mrr,[status(thm)],[1620,10,7,1606]),
[iquote('3:MRR:1620.0,1620.2,1620.3,10.0,7.0,1606.0')] ).
cnf(1638,plain,
equal(op(e0,e0),unit),
inference(mrr,[status(thm)],[1374,1424,1435,1442]),
[iquote('3:MRR:1374.0,1374.1,1374.2,1424.0,1435.0,1442.0')] ).
cnf(1641,plain,
~ equal(op(e3,e0),unit),
inference(rew,[status(thm),theory(equality)],[1638,25]),
[iquote('3:Rew:1638.0,25.0')] ).
cnf(1650,plain,
( equal(op(e3,e3),unit)
| equal(e3,unit)
| equal(e1,unit)
| equal(e4,unit)
| equal(op(e3,e0),unit) ),
inference(rew,[status(thm),theory(equality)],[1259,1352,1621,1476,18]),
[iquote('3:Rew:1259.0,1352.4,1621.0,1352.3,1259.0,1352.3,1476.0,1352.2,18.0,1352.1,1259.0,1352.1,1259.0,1352.0')] ).
cnf(1651,plain,
$false,
inference(mrr,[status(thm)],[1650,1567,863,1260,1257,1641]),
[iquote('3:MRR:1650.0,1650.1,1650.2,1650.3,1650.4,1567.0,863.0,1260.0,1257.0,1641.0')] ).
cnf(1653,plain,
~ equal(e2,unit),
inference(spt,[spt(split,[position(s2s2sa)])],[1651,1259]),
[iquote('3:Spt:1651.0,1258.0,1259.0')] ).
cnf(1654,plain,
( equal(e1,unit)
| equal(e0,unit) ),
inference(spt,[spt(split,[position(s2s2s2)])],[1258]),
[iquote('3:Spt:1651.0,1258.1,1258.2')] ).
cnf(1655,plain,
equal(e1,unit),
inference(spt,[spt(split,[position(s2s2s2s1)])],[1654]),
[iquote('4:Spt:1654.0')] ).
cnf(1665,plain,
~ equal(op(e0,e2),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[1655,77]),
[iquote('4:Rew:1655.0,77.0')] ).
cnf(1666,plain,
~ equal(op(e0,e3),op(e0,unit)),
inference(rew,[status(thm),theory(equality)],[1655,78]),
[iquote('4:Rew:1655.0,78.0')] ).
cnf(1685,plain,
~ equal(op(e2,e0),op(e2,unit)),
inference(rew,[status(thm),theory(equality)],[1655,93]),
[iquote('4:Rew:1655.0,93.0')] ).
cnf(1693,plain,
( equal(op(e3,e2),e4)
| equal(op(unit,e2),e4)
| equal(op(e0,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[1655,388]),
[iquote('4:Rew:1655.0,388.1')] ).
cnf(1719,plain,
( equal(op(e4,e3),e2)
| equal(op(e4,unit),e2)
| equal(op(e4,e0),e2) ),
inference(rew,[status(thm),theory(equality)],[1655,372]),
[iquote('4:Rew:1655.0,372.1')] ).
cnf(1738,plain,
~ equal(op(e0,e3),op(unit,e3)),
inference(rew,[status(thm),theory(equality)],[1655,53]),
[iquote('4:Rew:1655.0,53.0')] ).
cnf(1752,plain,
~ equal(op(e3,e0),op(e3,unit)),
inference(rew,[status(thm),theory(equality)],[1655,103]),
[iquote('4:Rew:1655.0,103.0')] ).
cnf(1774,plain,
( equal(op(e2,unit),unit)
| equal(op(e2,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[1655,398]),
[iquote('4:Rew:1655.0,398.0')] ).
cnf(1786,plain,
( equal(op(e0,e3),e3)
| equal(op(e0,e3),e0)
| equal(op(e0,e3),e4)
| equal(op(e0,e3),e2)
| equal(op(e0,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[1655,288]),
[iquote('4:Rew:1655.0,288.4')] ).
cnf(1808,plain,
~ equal(op(e0,e2),e0),
inference(rew,[status(thm),theory(equality)],[12,1665]),
[iquote('4:Rew:12.0,1665.0')] ).
cnf(1810,plain,
( equal(op(e2,e2),e0)
| equal(op(e3,e2),e0) ),
inference(mrr,[status(thm)],[400,1808]),
[iquote('4:MRR:400.1,1808.0')] ).
cnf(1815,plain,
~ equal(op(e0,e3),e0),
inference(rew,[status(thm),theory(equality)],[12,1666]),
[iquote('4:Rew:12.0,1666.0')] ).
cnf(1816,plain,
~ equal(op(e0,e0),e3),
inference(mrr,[status(thm)],[198,1815]),
[iquote('4:MRR:198.1,1815.0')] ).
cnf(1818,plain,
( equal(op(e3,e0),e3)
| equal(op(e4,e0),e3) ),
inference(mrr,[status(thm)],[420,1816]),
[iquote('4:MRR:420.1,1816.0')] ).
cnf(1826,plain,
~ equal(op(e2,e0),e2),
inference(rew,[status(thm),theory(equality)],[16,1685]),
[iquote('4:Rew:16.0,1685.0')] ).
cnf(1827,plain,
~ equal(op(e2,e2),e0),
inference(mrr,[status(thm)],[204,1826]),
[iquote('4:MRR:204.1,1826.0')] ).
cnf(1829,plain,
equal(op(e2,e2),e2),
inference(mrr,[status(thm)],[438,1827]),
[iquote('4:MRR:438.1,1827.0')] ).
cnf(1871,plain,
~ equal(op(e0,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,1738]),
[iquote('4:Rew:17.0,1738.0')] ).
cnf(1880,plain,
~ equal(op(e3,e0),e3),
inference(rew,[status(thm),theory(equality)],[18,1752]),
[iquote('4:Rew:18.0,1752.0')] ).
cnf(1908,plain,
( equal(e2,unit)
| equal(op(e2,e3),unit) ),
inference(rew,[status(thm),theory(equality)],[1655,1774,16]),
[iquote('4:Rew:1655.0,1774.1,16.0,1774.0')] ).
cnf(1909,plain,
equal(op(e2,e3),unit),
inference(mrr,[status(thm)],[1908,1653]),
[iquote('4:MRR:1908.0,1653.0')] ).
cnf(1912,plain,
~ equal(op(e0,e3),unit),
inference(rew,[status(thm),theory(equality)],[1909,54]),
[iquote('4:Rew:1909.0,54.0')] ).
cnf(1923,plain,
( equal(e2,e0)
| equal(op(e3,e2),e0) ),
inference(rew,[status(thm),theory(equality)],[1829,1810]),
[iquote('4:Rew:1829.0,1810.0')] ).
cnf(1924,plain,
equal(op(e3,e2),e0),
inference(mrr,[status(thm)],[1923,2]),
[iquote('4:MRR:1923.0,2.0')] ).
cnf(1935,plain,
equal(op(e4,e0),e3),
inference(mrr,[status(thm)],[1818,1880]),
[iquote('4:MRR:1818.0,1880.0')] ).
cnf(1962,plain,
( equal(e4,e0)
| equal(e4,e2)
| equal(op(e0,e2),e4) ),
inference(rew,[status(thm),theory(equality)],[15,1693,1924]),
[iquote('4:Rew:15.0,1693.1,1924.0,1693.0')] ).
cnf(1963,plain,
equal(op(e0,e2),e4),
inference(mrr,[status(thm)],[1962,4,9]),
[iquote('4:MRR:1962.0,1962.1,4.0,9.0')] ).
cnf(1964,plain,
~ equal(op(e0,e3),e4),
inference(rew,[status(thm),theory(equality)],[1963,80]),
[iquote('4:Rew:1963.0,80.0')] ).
cnf(1980,plain,
( equal(op(e4,e3),e2)
| equal(e4,e2)
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[1935,1719,20]),
[iquote('4:Rew:1935.0,1719.2,20.0,1719.1')] ).
cnf(1981,plain,
equal(op(e4,e3),e2),
inference(mrr,[status(thm)],[1980,9,8]),
[iquote('4:MRR:1980.1,1980.2,9.0,8.0')] ).
cnf(1982,plain,
~ equal(op(e0,e3),e2),
inference(rew,[status(thm),theory(equality)],[1981,56]),
[iquote('4:Rew:1981.0,56.0')] ).
cnf(2056,plain,
$false,
inference(mrr,[status(thm)],[1786,1871,1815,1964,1982,1912]),
[iquote('4:MRR:1786.0,1786.1,1786.2,1786.3,1786.4,1871.0,1815.0,1964.0,1982.0,1912.0')] ).
cnf(2057,plain,
~ equal(e1,unit),
inference(spt,[spt(split,[position(s2s2s2sa)])],[2056,1655]),
[iquote('4:Spt:2056.0,1654.0,1655.0')] ).
cnf(2058,plain,
equal(e0,unit),
inference(spt,[spt(split,[position(s2s2s2s2)])],[1654]),
[iquote('4:Spt:2056.0,1654.1')] ).
cnf(2085,plain,
( ~ skC1
| ~ equal(e1,e1) ),
inference(rew,[status(thm),theory(equality)],[13,359,2058]),
[iquote('4:Rew:13.0,359.1,2058.0,359.1')] ).
cnf(2086,plain,
~ skC1,
inference(obv,[status(thm),theory(equality)],[2085]),
[iquote('4:Obv:2085.1')] ).
cnf(2089,plain,
~ equal(op(e1,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,53,2058]),
[iquote('4:Rew:17.0,53.0,2058.0,53.0')] ).
cnf(2090,plain,
~ equal(op(e1,e4),e4),
inference(rew,[status(thm),theory(equality)],[19,63,2058]),
[iquote('4:Rew:19.0,63.0,2058.0,63.0')] ).
cnf(2095,plain,
~ equal(op(e2,e1),e1),
inference(rew,[status(thm),theory(equality)],[13,34,2058]),
[iquote('4:Rew:13.0,34.0,2058.0,34.0')] ).
cnf(2102,plain,
~ equal(op(e4,e4),e4),
inference(rew,[status(thm),theory(equality)],[20,116,2058]),
[iquote('4:Rew:20.0,116.0,2058.0,116.0')] ).
cnf(2117,plain,
~ equal(op(e4,e3),e3),
inference(rew,[status(thm),theory(equality)],[17,56,2058]),
[iquote('4:Rew:17.0,56.0,2058.0,56.0')] ).
cnf(2132,plain,
( equal(op(e3,e4),e1)
| equal(e4,e1) ),
inference(rew,[status(thm),theory(equality)],[19,374,2058]),
[iquote('4:Rew:19.0,374.1,2058.0,374.1')] ).
cnf(2133,plain,
equal(op(e3,e4),e1),
inference(mrr,[status(thm)],[2132,7]),
[iquote('4:MRR:2132.1,7.0')] ).
cnf(2135,plain,
( ~ skC14
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[2133,321]),
[iquote('4:Rew:2133.0,321.1')] ).
cnf(2142,plain,
( ~ skC19
| equal(op(e1,e4),e3) ),
inference(rew,[status(thm),theory(equality)],[2133,142]),
[iquote('4:Rew:2133.0,142.1')] ).
cnf(2143,plain,
~ skC14,
inference(mrr,[status(thm)],[2135,5]),
[iquote('4:MRR:2135.1,5.0')] ).
cnf(2144,plain,
~ skC19,
inference(mrr,[status(thm)],[2142,305]),
[iquote('4:MRR:2142.1,305.0')] ).
cnf(2145,plain,
equal(op(e2,e3),e1),
inference(mrr,[status(thm)],[398,2095]),
[iquote('4:MRR:398.0,2095.0')] ).
cnf(2153,plain,
( ~ skC13
| equal(op(e1,e3),e2) ),
inference(rew,[status(thm),theory(equality)],[2145,136]),
[iquote('4:Rew:2145.0,136.1')] ).
cnf(2154,plain,
equal(op(e1,e4),e2),
inference(mrr,[status(thm)],[441,2090]),
[iquote('4:MRR:441.0,2090.0')] ).
cnf(2158,plain,
~ equal(op(e1,e3),e2),
inference(rew,[status(thm),theory(equality)],[2154,92]),
[iquote('4:Rew:2154.0,92.0')] ).
cnf(2162,plain,
( ~ skC22
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[2154,323]),
[iquote('4:Rew:2154.0,323.1')] ).
cnf(2163,plain,
( ~ skC9
| equal(op(e2,e4),e1) ),
inference(rew,[status(thm),theory(equality)],[2154,132]),
[iquote('4:Rew:2154.0,132.1')] ).
cnf(2167,plain,
~ skC13,
inference(mrr,[status(thm)],[2153,2158]),
[iquote('4:MRR:2153.1,2158.0')] ).
cnf(2168,plain,
~ skC22,
inference(obv,[status(thm),theory(equality)],[2162]),
[iquote('4:Obv:2162.1')] ).
cnf(2169,plain,
( ~ skC9
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[22,2163]),
[iquote('4:Rew:22.0,2163.1')] ).
cnf(2170,plain,
~ skC9,
inference(mrr,[status(thm)],[2169,6]),
[iquote('4:MRR:2169.1,6.0')] ).
cnf(2171,plain,
equal(op(e1,e2),e3),
inference(mrr,[status(thm)],[410,2089]),
[iquote('4:MRR:410.0,2089.0')] ).
cnf(2178,plain,
( ~ skC7
| equal(op(e3,e2),e1) ),
inference(rew,[status(thm),theory(equality)],[2171,130]),
[iquote('4:Rew:2171.0,130.1')] ).
cnf(2180,plain,
~ skC7,
inference(mrr,[status(thm)],[2178,307]),
[iquote('4:MRR:2178.1,307.0')] ).
cnf(2190,plain,
( equal(op(e4,e4),e4)
| equal(op(e4,e4),unit) ),
inference(rew,[status(thm),theory(equality)],[2058,428]),
[iquote('4:Rew:2058.0,428.1')] ).
cnf(2191,plain,
equal(op(e4,e4),unit),
inference(mrr,[status(thm)],[2190,2102]),
[iquote('4:MRR:2190.0,2102.0')] ).
cnf(2199,plain,
( ~ skC20
| ~ equal(unit,unit) ),
inference(rew,[status(thm),theory(equality)],[2191,189,20,2058]),
[iquote('4:Rew:2191.0,189.1,20.0,189.1,2058.0,189.1')] ).
cnf(2200,plain,
~ skC20,
inference(obv,[status(thm),theory(equality)],[2199]),
[iquote('4:Obv:2199.1')] ).
cnf(2201,plain,
( ~ skC4
| ~ equal(e4,e4) ),
inference(rew,[status(thm),theory(equality)],[20,156,19,2058]),
[iquote('4:Rew:20.0,156.1,19.0,156.1,2058.0,156.1')] ).
cnf(2202,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[2201]),
[iquote('4:Obv:2201.1')] ).
cnf(2203,plain,
( ~ skC10
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,168,15,2058]),
[iquote('4:Rew:16.0,168.1,15.0,168.1,2058.0,168.1')] ).
cnf(2204,plain,
~ skC10,
inference(obv,[status(thm),theory(equality)],[2203]),
[iquote('4:Obv:2203.1')] ).
cnf(2205,plain,
( ~ skC2
| ~ equal(e2,e2) ),
inference(rew,[status(thm),theory(equality)],[16,152,15,2058]),
[iquote('4:Rew:16.0,152.1,15.0,152.1,2058.0,152.1')] ).
cnf(2206,plain,
~ skC2,
inference(obv,[status(thm),theory(equality)],[2205]),
[iquote('4:Obv:2205.1')] ).
cnf(2208,plain,
( ~ skC15
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[18,178,17,2058]),
[iquote('4:Rew:18.0,178.1,17.0,178.1,2058.0,178.1')] ).
cnf(2209,plain,
~ skC15,
inference(obv,[status(thm),theory(equality)],[2208]),
[iquote('4:Obv:2208.1')] ).
cnf(2210,plain,
( ~ skC3
| ~ equal(e3,e3) ),
inference(rew,[status(thm),theory(equality)],[18,154,17,2058]),
[iquote('4:Rew:18.0,154.1,17.0,154.1,2058.0,154.1')] ).
cnf(2211,plain,
~ skC3,
inference(obv,[status(thm),theory(equality)],[2210]),
[iquote('4:Obv:2210.1')] ).
cnf(2221,plain,
equal(op(e1,e3),e4),
inference(mrr,[status(thm)],[442,2089,2158]),
[iquote('4:MRR:442.0,442.2,2089.0,2158.0')] ).
cnf(2227,plain,
( ~ skC8
| equal(op(e4,e3),e1) ),
inference(rew,[status(thm),theory(equality)],[2221,131]),
[iquote('4:Rew:2221.0,131.1')] ).
cnf(2232,plain,
~ skC8,
inference(mrr,[status(thm)],[2227,296]),
[iquote('4:MRR:2227.1,296.0')] ).
cnf(2233,plain,
( equal(op(e4,e3),e2)
| equal(op(e4,e1),e2)
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[20,372,2058]),
[iquote('4:Rew:20.0,372.2,2058.0,372.2')] ).
cnf(2234,plain,
( equal(op(e4,e3),e2)
| equal(op(e4,e1),e2) ),
inference(mrr,[status(thm)],[2233,9]),
[iquote('4:MRR:2233.2,9.0')] ).
cnf(2235,plain,
( equal(op(e4,e3),e3)
| equal(op(e4,e1),e3)
| equal(e4,e3) ),
inference(rew,[status(thm),theory(equality)],[20,368,2058]),
[iquote('4:Rew:20.0,368.2,2058.0,368.2')] ).
cnf(2236,plain,
equal(op(e4,e1),e3),
inference(mrr,[status(thm)],[2235,2117,10]),
[iquote('4:MRR:2235.0,2235.2,2117.0,10.0')] ).
cnf(2244,plain,
( ~ skC21
| ~ equal(op(e3,e4),e1) ),
inference(rew,[status(thm),theory(equality)],[2236,191]),
[iquote('4:Rew:2236.0,191.1')] ).
cnf(2245,plain,
( equal(op(e4,e3),e2)
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[2236,2234]),
[iquote('4:Rew:2236.0,2234.1')] ).
cnf(2247,plain,
( ~ skC21
| ~ equal(e1,e1) ),
inference(rew,[status(thm),theory(equality)],[2133,2244]),
[iquote('4:Rew:2133.0,2244.1')] ).
cnf(2248,plain,
~ skC21,
inference(obv,[status(thm),theory(equality)],[2247]),
[iquote('4:Obv:2247.1')] ).
cnf(2249,plain,
equal(op(e4,e3),e2),
inference(mrr,[status(thm)],[2245,8]),
[iquote('4:MRR:2245.1,8.0')] ).
cnf(2254,plain,
( ~ skC23
| equal(op(e2,e3),e4) ),
inference(rew,[status(thm),theory(equality)],[2249,146]),
[iquote('4:Rew:2249.0,146.1')] ).
cnf(2257,plain,
( ~ skC23
| equal(e4,e1) ),
inference(rew,[status(thm),theory(equality)],[2145,2254]),
[iquote('4:Rew:2145.0,2254.1')] ).
cnf(2258,plain,
~ skC23,
inference(mrr,[status(thm)],[2257,7]),
[iquote('4:MRR:2257.1,7.0')] ).
cnf(2259,plain,
( equal(op(e3,e2),e4)
| equal(e4,e3)
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[15,388,2058,2171]),
[iquote('4:Rew:15.0,388.2,2058.0,388.2,2171.0,388.1')] ).
cnf(2260,plain,
equal(op(e3,e2),e4),
inference(mrr,[status(thm)],[2259,10,9]),
[iquote('4:MRR:2259.1,2259.2,10.0,9.0')] ).
cnf(2266,plain,
( ~ skC17
| equal(op(e4,e2),e3) ),
inference(rew,[status(thm),theory(equality)],[2260,140]),
[iquote('4:Rew:2260.0,140.1')] ).
cnf(2269,plain,
( ~ skC17
| equal(e3,e1) ),
inference(rew,[status(thm),theory(equality)],[21,2266]),
[iquote('4:Rew:21.0,2266.1')] ).
cnf(2270,plain,
~ skC17,
inference(mrr,[status(thm)],[2269,6]),
[iquote('4:MRR:2269.1,6.0')] ).
cnf(2271,plain,
( equal(e4,e1)
| equal(op(e2,e1),e4)
| equal(e4,e2) ),
inference(rew,[status(thm),theory(equality)],[16,390,2058,2145]),
[iquote('4:Rew:16.0,390.2,2058.0,390.2,2145.0,390.0')] ).
cnf(2272,plain,
equal(op(e2,e1),e4),
inference(mrr,[status(thm)],[2271,7,9]),
[iquote('4:MRR:2271.0,2271.2,7.0,9.0')] ).
cnf(2278,plain,
( ~ skC11
| equal(op(e4,e1),e2) ),
inference(rew,[status(thm),theory(equality)],[2272,134]),
[iquote('4:Rew:2272.0,134.1')] ).
cnf(2280,plain,
( ~ skC11
| equal(e3,e2) ),
inference(rew,[status(thm),theory(equality)],[2236,2278]),
[iquote('4:Rew:2236.0,2278.1')] ).
cnf(2281,plain,
~ skC11,
inference(mrr,[status(thm)],[2280,8]),
[iquote('4:MRR:2280.1,8.0')] ).
cnf(2288,plain,
skC16,
inference(mrr,[status(thm)],[451,2258,2168,2248,2200,2144,2270,2209,2143,2167,2281,2204,2170,2232,2180,2202,2211,2206,2086]),
[iquote('4:MRR:451.0,451.1,451.2,451.3,451.4,451.5,451.7,451.8,451.9,451.10,451.11,451.12,451.13,451.14,451.15,451.16,451.17,451.18,2258.0,2168.0,2248.0,2200.0,2144.0,2270.0,2209.0,2143.0,2167.0,2281.0,2204.0,2170.0,2232.0,2180.0,2202.0,2211.0,2206.0,2086.0')] ).
cnf(2290,plain,
~ equal(op(op(e3,e1),e3),e1),
inference(mrr,[status(thm)],[181,2288]),
[iquote('4:MRR:181.0,2288.0')] ).
cnf(2309,plain,
( equal(e4,e2)
| equal(e3,e2)
| equal(op(e3,e1),e2)
| equal(e2,e1) ),
inference(rew,[status(thm),theory(equality)],[13,412,2058,2236,2272]),
[iquote('4:Rew:13.0,412.3,2058.0,412.3,2236.0,412.1,2272.0,412.0')] ).
cnf(2310,plain,
equal(op(e3,e1),e2),
inference(mrr,[status(thm)],[2309,9,8,5]),
[iquote('4:MRR:2309.0,2309.1,2309.3,9.0,8.0,5.0')] ).
cnf(2316,plain,
~ equal(op(e2,e3),e1),
inference(rew,[status(thm),theory(equality)],[2310,2290]),
[iquote('4:Rew:2310.0,2290.0')] ).
cnf(2319,plain,
~ equal(e1,e1),
inference(rew,[status(thm),theory(equality)],[2145,2316]),
[iquote('4:Rew:2145.0,2316.0')] ).
cnf(2320,plain,
$false,
inference(obv,[status(thm),theory(equality)],[2319]),
[iquote('4:Obv:2319.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 20:36:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.57
% 0.39/0.57 SPASS V 3.9
% 0.39/0.57 SPASS beiseite: Proof found.
% 0.39/0.57 % SZS status Theorem
% 0.39/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57 SPASS derived 1165 clauses, backtracked 923 clauses, performed 4 splits and kept 1515 clauses.
% 0.39/0.57 SPASS allocated 86272 KBytes.
% 0.39/0.57 SPASS spent 0:00:00.23 on the problem.
% 0.39/0.57 0:00:00.04 for the input.
% 0.39/0.57 0:00:00.06 for the FLOTTER CNF translation.
% 0.39/0.57 0:00:00.00 for inferences.
% 0.39/0.57 0:00:00.00 for the backtracking.
% 0.39/0.57 0:00:00.10 for the reduction.
% 0.39/0.57
% 0.39/0.57
% 0.39/0.57 Here is a proof with depth 4, length 465 :
% 0.39/0.57 % SZS output start Refutation
% See solution above
% 0.39/0.58 Formulae used in the proof : ax5 ax2 ax6 ax4 co1 ax3 ax1
% 0.39/0.58
%------------------------------------------------------------------------------