TSTP Solution File: ALG123+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 18:02:32 EDT 2022
% Result : Theorem 0.43s 0.62s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 155
% Syntax : Number of clauses : 460 ( 233 unt; 137 nHn; 460 RR)
% Number of literals : 1022 ( 0 equ; 386 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 34 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e11,e10),
file('ALG123+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG123+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG123+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e12,e11),
file('ALG123+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e13,e11),
file('ALG123+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e12),
file('ALG123+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e21,e20),
file('ALG123+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e22,e20),
file('ALG123+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e23,e20),
file('ALG123+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e22,e21),
file('ALG123+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e23,e21),
file('ALG123+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e23,e22),
file('ALG123+1.p',unknown),
[] ).
cnf(31,axiom,
equal(h3(e13),e22),
file('ALG123+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op1(e13,e13),e10),
file('ALG123+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op2(e23,e23),e20),
file('ALG123+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ equal(h3(e10),e20)
| skC36 ),
file('ALG123+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ equal(h3(e11),e21)
| skC37 ),
file('ALG123+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ equal(h3(e13),e22)
| skC38 ),
file('ALG123+1.p',unknown),
[] ).
cnf(83,axiom,
equal(op2(e20,e20),h1(e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(84,axiom,
equal(op2(e21,e21),h2(e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(85,axiom,
equal(op2(e22,e22),h3(e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ skC0
| equal(op1(e10,e10),e10) ),
file('ALG123+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ skC2
| equal(op1(e10,e12),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ skC3
| equal(op1(e10,e13),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ skC5
| equal(op1(e11,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ skC8
| equal(op1(e12,e10),e10) ),
file('ALG123+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ skC9
| equal(op1(e12,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ skC10
| equal(op1(e12,e12),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ skC11
| equal(op1(e12,e13),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ skC12
| equal(op1(e13,e10),e10) ),
file('ALG123+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ skC13
| equal(op1(e13,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ skC14
| equal(op1(e13,e12),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ skC15
| equal(op2(e20,e20),e20) ),
file('ALG123+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ skC17
| equal(op2(e20,e22),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ skC18
| equal(op2(e20,e23),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ skC20
| equal(op2(e21,e21),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ skC23
| equal(op2(e22,e20),e20) ),
file('ALG123+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ skC24
| equal(op2(e22,e21),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ skC25
| equal(op2(e22,e22),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ skC26
| equal(op2(e22,e23),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ skC27
| equal(op2(e23,e20),e20) ),
file('ALG123+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ skC28
| equal(op2(e23,e21),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ skC29
| equal(op2(e23,e22),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(117,axiom,
equal(op1(op1(e13,e13),e13),e12),
file('ALG123+1.p',unknown),
[] ).
cnf(118,axiom,
equal(op2(op2(e23,e23),e23),e22),
file('ALG123+1.p',unknown),
[] ).
cnf(119,axiom,
~ equal(op1(e11,e10),op1(e10,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(124,axiom,
~ equal(op1(e13,e10),op1(e12,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(129,axiom,
~ equal(op1(e13,e11),op1(e11,e11)),
file('ALG123+1.p',unknown),
[] ).
cnf(136,axiom,
~ equal(op1(e13,e12),op1(e12,e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(140,axiom,
~ equal(op1(e12,e13),op1(e11,e13)),
file('ALG123+1.p',unknown),
[] ).
cnf(145,axiom,
~ equal(op1(e10,e13),op1(e10,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(147,axiom,
~ equal(op1(e10,e13),op1(e10,e11)),
file('ALG123+1.p',unknown),
[] ).
cnf(148,axiom,
~ equal(op1(e10,e13),op1(e10,e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(150,axiom,
~ equal(op1(e11,e12),op1(e11,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(152,axiom,
~ equal(op1(e11,e12),op1(e11,e11)),
file('ALG123+1.p',unknown),
[] ).
cnf(154,axiom,
~ equal(op1(e11,e13),op1(e11,e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(156,axiom,
~ equal(op1(e12,e12),op1(e12,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(157,axiom,
~ equal(op1(e12,e13),op1(e12,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(159,axiom,
~ equal(op1(e12,e13),op1(e12,e11)),
file('ALG123+1.p',unknown),
[] ).
cnf(160,axiom,
~ equal(op1(e12,e13),op1(e12,e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(162,axiom,
~ equal(op1(e13,e12),op1(e13,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(163,axiom,
~ equal(op1(e13,e13),op1(e13,e10)),
file('ALG123+1.p',unknown),
[] ).
cnf(164,axiom,
~ equal(op1(e13,e12),op1(e13,e11)),
file('ALG123+1.p',unknown),
[] ).
cnf(166,axiom,
~ equal(op1(e13,e13),op1(e13,e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(168,axiom,
~ equal(op2(e22,e20),op2(e20,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(169,axiom,
~ equal(op2(e23,e20),op2(e20,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(170,axiom,
~ equal(op2(e22,e20),op2(e21,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(172,axiom,
~ equal(op2(e23,e20),op2(e22,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(173,axiom,
~ equal(op2(e21,e21),op2(e20,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(175,axiom,
~ equal(op2(e23,e21),op2(e20,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(177,axiom,
~ equal(op2(e23,e21),op2(e21,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(183,axiom,
~ equal(op2(e23,e22),op2(e21,e22)),
file('ALG123+1.p',unknown),
[] ).
cnf(188,axiom,
~ equal(op2(e22,e23),op2(e21,e23)),
file('ALG123+1.p',unknown),
[] ).
cnf(191,axiom,
~ equal(op2(e20,e21),op2(e20,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(193,axiom,
~ equal(op2(e20,e23),op2(e20,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(195,axiom,
~ equal(op2(e20,e23),op2(e20,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(196,axiom,
~ equal(op2(e20,e23),op2(e20,e22)),
file('ALG123+1.p',unknown),
[] ).
cnf(197,axiom,
~ equal(op2(e21,e21),op2(e21,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(202,axiom,
~ equal(op2(e21,e23),op2(e21,e22)),
file('ALG123+1.p',unknown),
[] ).
cnf(204,axiom,
~ equal(op2(e22,e22),op2(e22,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(207,axiom,
~ equal(op2(e22,e23),op2(e22,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(208,axiom,
~ equal(op2(e22,e23),op2(e22,e22)),
file('ALG123+1.p',unknown),
[] ).
cnf(209,axiom,
~ equal(op2(e23,e21),op2(e23,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(210,axiom,
~ equal(op2(e23,e22),op2(e23,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(211,axiom,
~ equal(op2(e23,e23),op2(e23,e20)),
file('ALG123+1.p',unknown),
[] ).
cnf(212,axiom,
~ equal(op2(e23,e22),op2(e23,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(213,axiom,
~ equal(op2(e23,e23),op2(e23,e21)),
file('ALG123+1.p',unknown),
[] ).
cnf(214,axiom,
~ equal(op2(e23,e23),op2(e23,e22)),
file('ALG123+1.p',unknown),
[] ).
cnf(215,axiom,
( ~ equal(op1(e10,e10),e10)
| ~ skC0 ),
file('ALG123+1.p',unknown),
[] ).
cnf(219,axiom,
( ~ skC4
| ~ equal(op1(e11,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(220,axiom,
( ~ equal(op1(e11,e11),e11)
| ~ skC5 ),
file('ALG123+1.p',unknown),
[] ).
cnf(221,axiom,
( ~ skC6
| ~ equal(op1(e11,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(222,axiom,
( ~ skC7
| ~ equal(op1(e11,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(223,axiom,
( ~ skC8
| ~ equal(op1(e12,e12),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(225,axiom,
( ~ equal(op1(e12,e12),e12)
| ~ skC10 ),
file('ALG123+1.p',unknown),
[] ).
cnf(230,axiom,
( ~ equal(op2(e20,e20),e20)
| ~ skC15 ),
file('ALG123+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ equal(op2(e21,e21),e21)
| ~ skC19 ),
file('ALG123+1.p',unknown),
[] ).
cnf(235,axiom,
( ~ equal(op2(e21,e21),e21)
| ~ skC20 ),
file('ALG123+1.p',unknown),
[] ).
cnf(236,axiom,
( ~ equal(op2(e21,e21),e21)
| ~ skC21 ),
file('ALG123+1.p',unknown),
[] ).
cnf(237,axiom,
( ~ equal(op2(e21,e21),e21)
| ~ skC22 ),
file('ALG123+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ equal(op2(e22,e22),e22)
| ~ skC23 ),
file('ALG123+1.p',unknown),
[] ).
cnf(240,axiom,
( ~ equal(op2(e22,e22),e22)
| ~ skC25 ),
file('ALG123+1.p',unknown),
[] ).
cnf(245,axiom,
equal(op2(op2(e20,e20),e20),h1(e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(246,axiom,
equal(op2(op2(e21,e21),e21),h2(e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(247,axiom,
equal(op2(op2(e22,e22),e22),h3(e12)),
file('ALG123+1.p',unknown),
[] ).
cnf(249,axiom,
equal(op1(op1(op1(e13,e13),e13),e13),e11),
file('ALG123+1.p',unknown),
[] ).
cnf(250,axiom,
equal(op2(op2(op2(e23,e23),e23),e23),e21),
file('ALG123+1.p',unknown),
[] ).
cnf(253,axiom,
equal(op2(op2(op2(e22,e22),e22),e22),h3(e11)),
file('ALG123+1.p',unknown),
[] ).
cnf(260,axiom,
( ~ equal(op1(e11,e11),e13)
| equal(op1(e11,e13),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(263,axiom,
( ~ equal(op1(e12,e12),e13)
| equal(op1(e12,e13),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(264,axiom,
( ~ equal(op1(e13,e13),e10)
| equal(op1(e13,e10),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(272,axiom,
( ~ equal(op2(e21,e21),e23)
| equal(op2(e21,e23),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ equal(op2(e22,e22),e23)
| equal(op2(e22,e23),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(276,axiom,
( ~ equal(op2(e23,e23),e20)
| equal(op2(e23,e20),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(284,axiom,
( ~ equal(op1(e13,e13),e10)
| ~ equal(op1(e13,e10),e13)
| ~ skC1 ),
file('ALG123+1.p',unknown),
[] ).
cnf(329,axiom,
( ~ equal(op2(e23,e23),e20)
| ~ equal(op2(e23,e20),e23)
| ~ skC16 ),
file('ALG123+1.p',unknown),
[] ).
cnf(369,axiom,
( equal(op2(e20,e20),e20)
| equal(op2(e21,e21),e21)
| equal(op2(e22,e22),e22)
| equal(op2(e23,e23),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(370,axiom,
( equal(op2(e23,e23),e23)
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29 ),
file('ALG123+1.p',unknown),
[] ).
cnf(371,axiom,
( equal(op1(e10,e10),e10)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e13),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(372,axiom,
( equal(op1(e13,e13),e13)
| skC0
| skC1
| skC2
| skC3
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14 ),
file('ALG123+1.p',unknown),
[] ).
cnf(373,axiom,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e22,e23),e23)
| equal(op2(e23,e23),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(381,axiom,
( equal(op2(e20,e22),e23)
| equal(op2(e21,e22),e23)
| equal(op2(e22,e22),e23)
| equal(op2(e23,e22),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(382,axiom,
( equal(op2(e22,e20),e23)
| equal(op2(e22,e21),e23)
| equal(op2(e22,e22),e23)
| equal(op2(e22,e23),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(383,axiom,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e23,e22),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(384,axiom,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e21),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e22,e23),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(388,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e22,e23),e20) ),
file('ALG123+1.p',unknown),
[] ).
cnf(391,axiom,
( equal(op2(e20,e21),e22)
| equal(op2(e21,e21),e22)
| equal(op2(e22,e21),e22)
| equal(op2(e23,e21),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(393,axiom,
( equal(op2(e20,e21),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e23,e21),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(394,axiom,
( equal(op2(e21,e20),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e23),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(396,axiom,
( equal(op2(e21,e20),e20)
| equal(op2(e21,e21),e20)
| equal(op2(e21,e22),e20)
| equal(op2(e21,e23),e20) ),
file('ALG123+1.p',unknown),
[] ).
cnf(399,axiom,
( equal(op2(e20,e20),e22)
| equal(op2(e21,e20),e22)
| equal(op2(e22,e20),e22)
| equal(op2(e23,e20),e22) ),
file('ALG123+1.p',unknown),
[] ).
cnf(402,axiom,
( equal(op2(e20,e20),e21)
| equal(op2(e20,e21),e21)
| equal(op2(e20,e22),e21)
| equal(op2(e20,e23),e21) ),
file('ALG123+1.p',unknown),
[] ).
cnf(406,axiom,
( equal(op2(e23,e22),e20)
| equal(op2(e23,e22),e21)
| equal(op2(e23,e22),e22)
| equal(op2(e23,e22),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(407,axiom,
( equal(op2(e23,e21),e20)
| equal(op2(e23,e21),e21)
| equal(op2(e23,e21),e22)
| equal(op2(e23,e21),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(410,axiom,
( equal(op2(e22,e22),e20)
| equal(op2(e22,e22),e21)
| equal(op2(e22,e22),e22)
| equal(op2(e22,e22),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(415,axiom,
( equal(op2(e21,e21),e20)
| equal(op2(e21,e21),e21)
| equal(op2(e21,e21),e22)
| equal(op2(e21,e21),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(420,axiom,
( equal(op2(e20,e20),e20)
| equal(op2(e20,e20),e21)
| equal(op2(e20,e20),e22)
| equal(op2(e20,e20),e23) ),
file('ALG123+1.p',unknown),
[] ).
cnf(421,axiom,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(op1(e13,e13),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(424,axiom,
( equal(op1(e13,e10),e12)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e13),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(429,axiom,
( equal(op1(e10,e12),e13)
| equal(op1(e11,e12),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e13,e12),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(430,axiom,
( equal(op1(e12,e10),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e12,e13),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(431,axiom,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(433,axiom,
( equal(op1(e10,e12),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e13,e12),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(435,axiom,
( equal(op1(e10,e12),e10)
| equal(op1(e11,e12),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e13,e12),e10) ),
file('ALG123+1.p',unknown),
[] ).
cnf(439,axiom,
( equal(op1(e10,e11),e12)
| equal(op1(e11,e11),e12)
| equal(op1(e12,e11),e12)
| equal(op1(e13,e11),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(440,axiom,
( equal(op1(e11,e10),e12)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e11,e13),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(441,axiom,
( equal(op1(e10,e11),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e13,e11),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(444,axiom,
( equal(op1(e11,e10),e10)
| equal(op1(e11,e11),e10)
| equal(op1(e11,e12),e10)
| equal(op1(e11,e13),e10) ),
file('ALG123+1.p',unknown),
[] ).
cnf(447,axiom,
( equal(op1(e10,e10),e12)
| equal(op1(e11,e10),e12)
| equal(op1(e12,e10),e12)
| equal(op1(e13,e10),e12) ),
file('ALG123+1.p',unknown),
[] ).
cnf(449,axiom,
( equal(op1(e10,e10),e11)
| equal(op1(e11,e10),e11)
| equal(op1(e12,e10),e11)
| equal(op1(e13,e10),e11) ),
file('ALG123+1.p',unknown),
[] ).
cnf(454,axiom,
( equal(op1(e13,e12),e10)
| equal(op1(e13,e12),e11)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(458,axiom,
( equal(op1(e12,e12),e10)
| equal(op1(e12,e12),e11)
| equal(op1(e12,e12),e12)
| equal(op1(e12,e12),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(460,axiom,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e10),e11)
| equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(463,axiom,
( equal(op1(e11,e11),e10)
| equal(op1(e11,e11),e11)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e11),e13) ),
file('ALG123+1.p',unknown),
[] ).
cnf(482,axiom,
( ~ equal(h3(e12),e23)
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e10),h3(e11)),h3(op1(e10,e11)))
| ~ equal(op2(h3(e10),h3(e12)),h3(op1(e10,e12)))
| ~ equal(op2(h3(e10),h3(e13)),h3(op1(e10,e13)))
| ~ equal(op2(h3(e11),h3(e10)),h3(op1(e11,e10)))
| ~ equal(op2(h3(e11),h3(e11)),h3(op1(e11,e11)))
| ~ equal(op2(h3(e11),h3(e12)),h3(op1(e11,e12)))
| ~ equal(op2(h3(e11),h3(e13)),h3(op1(e11,e13)))
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e12),h3(e11)),h3(op1(e12,e11)))
| ~ equal(op2(h3(e12),h3(e12)),h3(op1(e12,e12)))
| ~ equal(op2(h3(e12),h3(e13)),h3(op1(e12,e13)))
| ~ equal(op2(h3(e13),h3(e10)),h3(op1(e13,e10)))
| ~ equal(op2(h3(e13),h3(e11)),h3(op1(e13,e11)))
| ~ equal(op2(h3(e13),h3(e12)),h3(op1(e13,e12)))
| ~ equal(op2(h3(e13),h3(e13)),h3(op1(e13,e13)))
| ~ skC36
| ~ skC37
| ~ skC38 ),
file('ALG123+1.p',unknown),
[] ).
cnf(501,plain,
( ~ equal(e22,e22)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[31,70]),
[iquote('0:Rew:31.0,70.0')] ).
cnf(502,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[501]),
[iquote('0:Obv:501.0')] ).
cnf(513,plain,
equal(op2(e20,e23),e22),
inference(rew,[status(thm),theory(equality)],[34,118]),
[iquote('0:Rew:34.0,118.0')] ).
cnf(514,plain,
equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[33,117]),
[iquote('0:Rew:33.0,117.0')] ).
cnf(515,plain,
( ~ skC25
| equal(h3(e10),e22) ),
inference(rew,[status(thm),theory(equality)],[85,112]),
[iquote('0:Rew:85.0,112.1')] ).
cnf(516,plain,
( ~ skC20
| equal(h2(e10),e21) ),
inference(rew,[status(thm),theory(equality)],[84,107]),
[iquote('0:Rew:84.0,107.1')] ).
cnf(517,plain,
( ~ skC18
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[513,105]),
[iquote('0:Rew:513.0,105.1')] ).
cnf(518,plain,
~ skC18,
inference(mrr,[status(thm)],[517,12]),
[iquote('0:MRR:517.1,12.0')] ).
cnf(519,plain,
( ~ skC15
| equal(h1(e10),e20) ),
inference(rew,[status(thm),theory(equality)],[83,102]),
[iquote('0:Rew:83.0,102.1')] ).
cnf(520,plain,
( ~ skC3
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[514,90]),
[iquote('0:Rew:514.0,90.1')] ).
cnf(521,plain,
~ skC3,
inference(mrr,[status(thm)],[520,6]),
[iquote('0:MRR:520.1,6.0')] ).
cnf(526,plain,
equal(op2(h3(e10),e22),h3(e12)),
inference(rew,[status(thm),theory(equality)],[85,247]),
[iquote('0:Rew:85.0,247.0')] ).
cnf(527,plain,
equal(op2(h2(e10),e21),h2(e12)),
inference(rew,[status(thm),theory(equality)],[84,246]),
[iquote('0:Rew:84.0,246.0')] ).
cnf(528,plain,
equal(op2(h1(e10),e20),h1(e12)),
inference(rew,[status(thm),theory(equality)],[83,245]),
[iquote('0:Rew:83.0,245.0')] ).
cnf(533,plain,
( ~ equal(e22,e22)
| ~ skC25 ),
inference(rew,[status(thm),theory(equality)],[515,240,85]),
[iquote('0:Rew:515.1,240.0,85.0,240.0')] ).
cnf(534,plain,
~ skC25,
inference(obv,[status(thm),theory(equality)],[533]),
[iquote('0:Obv:533.0')] ).
cnf(536,plain,
( ~ skC23
| ~ equal(h3(e10),e22) ),
inference(rew,[status(thm),theory(equality)],[85,238]),
[iquote('0:Rew:85.0,238.0')] ).
cnf(537,plain,
( ~ skC22
| ~ equal(h2(e10),e21) ),
inference(rew,[status(thm),theory(equality)],[84,237]),
[iquote('0:Rew:84.0,237.0')] ).
cnf(538,plain,
( ~ skC21
| ~ equal(h2(e10),e21) ),
inference(rew,[status(thm),theory(equality)],[84,236]),
[iquote('0:Rew:84.0,236.0')] ).
cnf(539,plain,
( ~ equal(e21,e21)
| ~ skC20 ),
inference(rew,[status(thm),theory(equality)],[516,235,84]),
[iquote('0:Rew:516.1,235.0,84.0,235.0')] ).
cnf(540,plain,
~ skC20,
inference(obv,[status(thm),theory(equality)],[539]),
[iquote('0:Obv:539.0')] ).
cnf(541,plain,
( ~ skC19
| ~ equal(h2(e10),e21) ),
inference(rew,[status(thm),theory(equality)],[84,234]),
[iquote('0:Rew:84.0,234.0')] ).
cnf(544,plain,
( ~ equal(e20,e20)
| ~ skC15 ),
inference(rew,[status(thm),theory(equality)],[519,230,83]),
[iquote('0:Rew:519.1,230.0,83.0,230.0')] ).
cnf(545,plain,
~ skC15,
inference(obv,[status(thm),theory(equality)],[544]),
[iquote('0:Obv:544.0')] ).
cnf(549,plain,
( ~ equal(e12,e12)
| ~ skC10 ),
inference(rew,[status(thm),theory(equality)],[97,225]),
[iquote('0:Rew:97.1,225.0')] ).
cnf(550,plain,
~ skC10,
inference(obv,[status(thm),theory(equality)],[549]),
[iquote('0:Obv:549.0')] ).
cnf(551,plain,
( ~ equal(e11,e11)
| ~ skC5 ),
inference(rew,[status(thm),theory(equality)],[92,220]),
[iquote('0:Rew:92.1,220.0')] ).
cnf(552,plain,
~ skC5,
inference(obv,[status(thm),theory(equality)],[551]),
[iquote('0:Obv:551.0')] ).
cnf(553,plain,
( ~ equal(e10,e10)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[87,215]),
[iquote('0:Rew:87.1,215.0')] ).
cnf(554,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[553]),
[iquote('0:Obv:553.0')] ).
cnf(555,plain,
~ equal(op2(e23,e22),e20),
inference(rew,[status(thm),theory(equality)],[34,214]),
[iquote('0:Rew:34.0,214.0')] ).
cnf(556,plain,
~ equal(op2(e23,e21),e20),
inference(rew,[status(thm),theory(equality)],[34,213]),
[iquote('0:Rew:34.0,213.0')] ).
cnf(557,plain,
~ equal(op2(e23,e20),e20),
inference(rew,[status(thm),theory(equality)],[34,211]),
[iquote('0:Rew:34.0,211.0')] ).
cnf(558,plain,
~ skC27,
inference(mrr,[status(thm)],[114,557]),
[iquote('0:MRR:114.1,557.0')] ).
cnf(559,plain,
~ equal(op2(e22,e23),h3(e10)),
inference(rew,[status(thm),theory(equality)],[85,208]),
[iquote('0:Rew:85.0,208.0')] ).
cnf(561,plain,
~ equal(op2(e22,e20),h3(e10)),
inference(rew,[status(thm),theory(equality)],[85,204]),
[iquote('0:Rew:85.0,204.0')] ).
cnf(564,plain,
~ equal(op2(e21,e20),h2(e10)),
inference(rew,[status(thm),theory(equality)],[84,197]),
[iquote('0:Rew:84.0,197.0')] ).
cnf(565,plain,
~ equal(op2(e20,e22),e22),
inference(rew,[status(thm),theory(equality)],[513,196]),
[iquote('0:Rew:513.0,196.0')] ).
cnf(566,plain,
~ skC17,
inference(mrr,[status(thm)],[104,565]),
[iquote('0:MRR:104.1,565.0')] ).
cnf(567,plain,
~ equal(op2(e20,e21),e22),
inference(rew,[status(thm),theory(equality)],[513,195]),
[iquote('0:Rew:513.0,195.0')] ).
cnf(568,plain,
~ equal(h1(e10),e22),
inference(rew,[status(thm),theory(equality)],[513,193,83]),
[iquote('0:Rew:513.0,193.0,83.0,193.0')] ).
cnf(570,plain,
~ equal(op2(e20,e21),h1(e10)),
inference(rew,[status(thm),theory(equality)],[83,191]),
[iquote('0:Rew:83.0,191.0')] ).
cnf(579,plain,
~ equal(op2(e23,e21),h2(e10)),
inference(rew,[status(thm),theory(equality)],[84,177]),
[iquote('0:Rew:84.0,177.0')] ).
cnf(581,plain,
~ equal(op2(e20,e21),h2(e10)),
inference(rew,[status(thm),theory(equality)],[84,173]),
[iquote('0:Rew:84.0,173.0')] ).
cnf(582,plain,
~ equal(op2(e23,e20),h1(e10)),
inference(rew,[status(thm),theory(equality)],[83,169]),
[iquote('0:Rew:83.0,169.0')] ).
cnf(583,plain,
~ equal(op2(e22,e20),h1(e10)),
inference(rew,[status(thm),theory(equality)],[83,168]),
[iquote('0:Rew:83.0,168.0')] ).
cnf(585,plain,
~ equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[33,166]),
[iquote('0:Rew:33.0,166.0')] ).
cnf(587,plain,
~ equal(op1(e13,e10),e10),
inference(rew,[status(thm),theory(equality)],[33,163]),
[iquote('0:Rew:33.0,163.0')] ).
cnf(588,plain,
~ skC12,
inference(mrr,[status(thm)],[99,587]),
[iquote('0:MRR:99.1,587.0')] ).
cnf(589,plain,
~ equal(op1(e10,e12),e12),
inference(rew,[status(thm),theory(equality)],[514,148]),
[iquote('0:Rew:514.0,148.0')] ).
cnf(590,plain,
~ skC2,
inference(mrr,[status(thm)],[89,589]),
[iquote('0:MRR:89.1,589.0')] ).
cnf(591,plain,
~ equal(op1(e10,e11),e12),
inference(rew,[status(thm),theory(equality)],[514,147]),
[iquote('0:Rew:514.0,147.0')] ).
cnf(592,plain,
~ equal(op1(e10,e10),e12),
inference(rew,[status(thm),theory(equality)],[514,145]),
[iquote('0:Rew:514.0,145.0')] ).
cnf(598,plain,
equal(op2(e22,e23),e21),
inference(rew,[status(thm),theory(equality)],[513,250,34]),
[iquote('0:Rew:513.0,250.0,34.0,250.0')] ).
cnf(599,plain,
( ~ skC26
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[598,113]),
[iquote('0:Rew:598.0,113.1')] ).
cnf(600,plain,
~ equal(h3(e10),e21),
inference(rew,[status(thm),theory(equality)],[598,559]),
[iquote('0:Rew:598.0,559.0')] ).
cnf(601,plain,
~ equal(op2(e22,e21),e21),
inference(rew,[status(thm),theory(equality)],[598,207]),
[iquote('0:Rew:598.0,207.0')] ).
cnf(604,plain,
~ equal(op2(e21,e23),e21),
inference(rew,[status(thm),theory(equality)],[598,188]),
[iquote('0:Rew:598.0,188.0')] ).
cnf(606,plain,
~ skC26,
inference(mrr,[status(thm)],[599,11]),
[iquote('0:MRR:599.1,11.0')] ).
cnf(607,plain,
~ skC24,
inference(mrr,[status(thm)],[111,601]),
[iquote('0:MRR:111.1,601.0')] ).
cnf(608,plain,
equal(op1(e12,e13),e11),
inference(rew,[status(thm),theory(equality)],[514,249,33]),
[iquote('0:Rew:514.0,249.0,33.0,249.0')] ).
cnf(609,plain,
( ~ skC11
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[608,98]),
[iquote('0:Rew:608.0,98.1')] ).
cnf(610,plain,
~ equal(op1(e12,e12),e11),
inference(rew,[status(thm),theory(equality)],[608,160]),
[iquote('0:Rew:608.0,160.0')] ).
cnf(611,plain,
~ equal(op1(e12,e11),e11),
inference(rew,[status(thm),theory(equality)],[608,159]),
[iquote('0:Rew:608.0,159.0')] ).
cnf(612,plain,
~ equal(op1(e12,e10),e11),
inference(rew,[status(thm),theory(equality)],[608,157]),
[iquote('0:Rew:608.0,157.0')] ).
cnf(614,plain,
~ equal(op1(e11,e13),e11),
inference(rew,[status(thm),theory(equality)],[608,140]),
[iquote('0:Rew:608.0,140.0')] ).
cnf(616,plain,
~ skC11,
inference(mrr,[status(thm)],[609,5]),
[iquote('0:MRR:609.1,5.0')] ).
cnf(617,plain,
~ skC9,
inference(mrr,[status(thm)],[96,611]),
[iquote('0:MRR:96.1,611.0')] ).
cnf(621,plain,
equal(op2(h3(e12),e22),h3(e11)),
inference(rew,[status(thm),theory(equality)],[526,253,85]),
[iquote('0:Rew:526.0,253.0,85.0,253.0')] ).
cnf(626,plain,
( ~ equal(e20,e20)
| equal(op2(e23,e20),e23) ),
inference(rew,[status(thm),theory(equality)],[34,276]),
[iquote('0:Rew:34.0,276.0')] ).
cnf(627,plain,
equal(op2(e23,e20),e23),
inference(obv,[status(thm),theory(equality)],[626]),
[iquote('0:Obv:626.0')] ).
cnf(629,plain,
~ equal(op2(e23,e22),e23),
inference(rew,[status(thm),theory(equality)],[627,210]),
[iquote('0:Rew:627.0,210.0')] ).
cnf(630,plain,
~ equal(op2(e23,e21),e23),
inference(rew,[status(thm),theory(equality)],[627,209]),
[iquote('0:Rew:627.0,209.0')] ).
cnf(631,plain,
~ equal(op2(e22,e20),e23),
inference(rew,[status(thm),theory(equality)],[627,172]),
[iquote('0:Rew:627.0,172.0')] ).
cnf(633,plain,
~ equal(h1(e10),e23),
inference(rew,[status(thm),theory(equality)],[627,582]),
[iquote('0:Rew:627.0,582.0')] ).
cnf(634,plain,
( ~ equal(h3(e10),e23)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[598,275,85]),
[iquote('0:Rew:598.0,275.1,85.0,275.0')] ).
cnf(635,plain,
~ equal(h3(e10),e23),
inference(mrr,[status(thm)],[634,10]),
[iquote('0:MRR:634.1,10.0')] ).
cnf(638,plain,
( ~ equal(h2(e10),e23)
| equal(op2(e21,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[84,272]),
[iquote('0:Rew:84.0,272.0')] ).
cnf(639,plain,
~ equal(h2(e10),e23),
inference(mrr,[status(thm)],[638,604]),
[iquote('0:MRR:638.1,604.0')] ).
cnf(647,plain,
( ~ equal(e10,e10)
| equal(op1(e13,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[33,264]),
[iquote('0:Rew:33.0,264.0')] ).
cnf(648,plain,
equal(op1(e13,e10),e13),
inference(obv,[status(thm),theory(equality)],[647]),
[iquote('0:Obv:647.0')] ).
cnf(650,plain,
~ equal(op1(e13,e12),e13),
inference(rew,[status(thm),theory(equality)],[648,162]),
[iquote('0:Rew:648.0,162.0')] ).
cnf(652,plain,
~ equal(op1(e12,e10),e13),
inference(rew,[status(thm),theory(equality)],[648,124]),
[iquote('0:Rew:648.0,124.0')] ).
cnf(655,plain,
( ~ equal(op1(e12,e12),e13)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[608,263]),
[iquote('0:Rew:608.0,263.1')] ).
cnf(656,plain,
~ equal(op1(e12,e12),e13),
inference(mrr,[status(thm)],[655,4]),
[iquote('0:MRR:655.1,4.0')] ).
cnf(657,plain,
~ equal(op1(e11,e11),e13),
inference(mrr,[status(thm)],[260,614]),
[iquote('0:MRR:260.1,614.0')] ).
cnf(674,plain,
( ~ equal(e20,e20)
| ~ equal(e23,e23)
| ~ skC16 ),
inference(rew,[status(thm),theory(equality)],[627,329,34]),
[iquote('0:Rew:627.0,329.1,34.0,329.0')] ).
cnf(675,plain,
~ skC16,
inference(obv,[status(thm),theory(equality)],[674]),
[iquote('0:Obv:674.1')] ).
cnf(684,plain,
( ~ equal(e10,e10)
| ~ equal(e13,e13)
| ~ skC1 ),
inference(rew,[status(thm),theory(equality)],[648,284,33]),
[iquote('0:Rew:648.0,284.1,33.0,284.0')] ).
cnf(685,plain,
~ skC1,
inference(obv,[status(thm),theory(equality)],[684]),
[iquote('0:Obv:684.1')] ).
cnf(686,plain,
( equal(h1(e10),e20)
| equal(h2(e10),e21)
| equal(h3(e10),e22)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[34,369,85,84,83]),
[iquote('0:Rew:34.0,369.3,85.0,369.2,84.0,369.1,83.0,369.0')] ).
cnf(687,plain,
( equal(h3(e10),e22)
| equal(h2(e10),e21)
| equal(h1(e10),e20) ),
inference(mrr,[status(thm)],[686,9]),
[iquote('0:MRR:686.3,9.0')] ).
cnf(688,plain,
( equal(e23,e20)
| skC15
| skC16
| skC17
| skC18
| skC19
| skC20
| skC21
| skC22
| skC23
| skC24
| skC25
| skC26
| skC27
| skC28
| skC29 ),
inference(rew,[status(thm),theory(equality)],[34,370]),
[iquote('0:Rew:34.0,370.0')] ).
cnf(689,plain,
( skC29
| skC28
| skC23
| skC22
| skC21
| skC19 ),
inference(mrr,[status(thm)],[688,9,545,675,566,518,540,607,534,606,558]),
[iquote('0:MRR:688.0,688.1,688.2,688.3,688.4,688.6,688.10,688.11,688.12,688.13,9.0,545.0,675.0,566.0,518.0,540.0,607.0,534.0,606.0,558.0')] ).
cnf(690,plain,
( equal(op1(e10,e10),e10)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e12),e12)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[33,371]),
[iquote('0:Rew:33.0,371.3')] ).
cnf(691,plain,
( equal(op1(e12,e12),e12)
| equal(op1(e11,e11),e11)
| equal(op1(e10,e10),e10) ),
inference(mrr,[status(thm)],[690,3]),
[iquote('0:MRR:690.3,3.0')] ).
cnf(692,plain,
( equal(e13,e10)
| skC0
| skC1
| skC2
| skC3
| skC4
| skC5
| skC6
| skC7
| skC8
| skC9
| skC10
| skC11
| skC12
| skC13
| skC14 ),
inference(rew,[status(thm),theory(equality)],[33,372]),
[iquote('0:Rew:33.0,372.0')] ).
cnf(693,plain,
( skC14
| skC13
| skC8
| skC7
| skC6
| skC4 ),
inference(mrr,[status(thm)],[692,3,554,685,590,521,552,617,550,616,588]),
[iquote('0:MRR:692.0,692.1,692.2,692.3,692.4,692.6,692.10,692.11,692.12,692.13,3.0,554.0,685.0,590.0,521.0,552.0,617.0,550.0,616.0,588.0')] ).
cnf(694,plain,
( equal(e23,e22)
| equal(op2(e21,e23),e23)
| equal(e23,e21)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[34,373,598,513]),
[iquote('0:Rew:34.0,373.3,598.0,373.2,513.0,373.0')] ).
cnf(695,plain,
equal(op2(e21,e23),e23),
inference(mrr,[status(thm)],[694,12,11,9]),
[iquote('0:MRR:694.0,694.2,694.3,12.0,11.0,9.0')] ).
cnf(696,plain,
~ equal(op2(e21,e22),e23),
inference(rew,[status(thm),theory(equality)],[695,202]),
[iquote('0:Rew:695.0,202.0')] ).
cnf(706,plain,
( equal(op2(e20,e22),e23)
| equal(op2(e21,e22),e23)
| equal(h3(e10),e23)
| equal(op2(e23,e22),e23) ),
inference(rew,[status(thm),theory(equality)],[85,381]),
[iquote('0:Rew:85.0,381.2')] ).
cnf(707,plain,
equal(op2(e20,e22),e23),
inference(mrr,[status(thm)],[706,696,635,629]),
[iquote('0:MRR:706.1,706.2,706.3,696.0,635.0,629.0')] ).
cnf(714,plain,
( equal(op2(e22,e20),e23)
| equal(op2(e22,e21),e23)
| equal(h3(e10),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[598,382,85]),
[iquote('0:Rew:598.0,382.3,85.0,382.2')] ).
cnf(715,plain,
equal(op2(e22,e21),e23),
inference(mrr,[status(thm)],[714,631,635,11]),
[iquote('0:MRR:714.0,714.2,714.3,631.0,635.0,11.0')] ).
cnf(722,plain,
( equal(e23,e22)
| equal(op2(e21,e22),e22)
| equal(h3(e10),e22)
| equal(op2(e23,e22),e22) ),
inference(rew,[status(thm),theory(equality)],[85,383,707]),
[iquote('0:Rew:85.0,383.2,707.0,383.0')] ).
cnf(723,plain,
( equal(h3(e10),e22)
| equal(op2(e23,e22),e22)
| equal(op2(e21,e22),e22) ),
inference(mrr,[status(thm)],[722,12]),
[iquote('0:MRR:722.0,12.0')] ).
cnf(724,plain,
( equal(op2(e22,e20),e22)
| equal(e23,e22)
| equal(h3(e10),e22)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[598,384,85,715]),
[iquote('0:Rew:598.0,384.3,85.0,384.2,715.0,384.1')] ).
cnf(725,plain,
( equal(h3(e10),e22)
| equal(op2(e22,e20),e22) ),
inference(mrr,[status(thm)],[724,12,10]),
[iquote('0:MRR:724.1,724.3,12.0,10.0')] ).
cnf(731,plain,
( equal(op2(e22,e20),e20)
| equal(e23,e20)
| equal(h3(e10),e20)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[598,388,85,715]),
[iquote('0:Rew:598.0,388.3,85.0,388.2,715.0,388.1')] ).
cnf(732,plain,
( equal(h3(e10),e20)
| equal(op2(e22,e20),e20) ),
inference(mrr,[status(thm)],[731,9,7]),
[iquote('0:MRR:731.1,731.3,9.0,7.0')] ).
cnf(733,plain,
( equal(op2(e20,e21),e22)
| equal(h2(e10),e22)
| equal(e23,e22)
| equal(op2(e23,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[715,391,84]),
[iquote('0:Rew:715.0,391.2,84.0,391.1')] ).
cnf(734,plain,
( equal(h2(e10),e22)
| equal(op2(e23,e21),e22) ),
inference(mrr,[status(thm)],[733,567,12]),
[iquote('0:MRR:733.0,733.2,567.0,12.0')] ).
cnf(737,plain,
( equal(op2(e20,e21),e21)
| equal(h2(e10),e21)
| equal(e23,e21)
| equal(op2(e23,e21),e21) ),
inference(rew,[status(thm),theory(equality)],[715,393,84]),
[iquote('0:Rew:715.0,393.2,84.0,393.1')] ).
cnf(738,plain,
( equal(h2(e10),e21)
| equal(op2(e23,e21),e21)
| equal(op2(e20,e21),e21) ),
inference(mrr,[status(thm)],[737,11]),
[iquote('0:MRR:737.2,11.0')] ).
cnf(739,plain,
( equal(op2(e21,e20),e21)
| equal(h2(e10),e21)
| equal(op2(e21,e22),e21)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[695,394,84]),
[iquote('0:Rew:695.0,394.3,84.0,394.1')] ).
cnf(740,plain,
( equal(h2(e10),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e20),e21) ),
inference(mrr,[status(thm)],[739,11]),
[iquote('0:MRR:739.3,11.0')] ).
cnf(743,plain,
( equal(op2(e21,e20),e20)
| equal(h2(e10),e20)
| equal(op2(e21,e22),e20)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[695,396,84]),
[iquote('0:Rew:695.0,396.3,84.0,396.1')] ).
cnf(744,plain,
( equal(h2(e10),e20)
| equal(op2(e21,e20),e20)
| equal(op2(e21,e22),e20) ),
inference(mrr,[status(thm)],[743,9]),
[iquote('0:MRR:743.3,9.0')] ).
cnf(745,plain,
( equal(h1(e10),e22)
| equal(op2(e21,e20),e22)
| equal(op2(e22,e20),e22)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[627,399,83]),
[iquote('0:Rew:627.0,399.3,83.0,399.0')] ).
cnf(746,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e21,e20),e22) ),
inference(mrr,[status(thm)],[745,568,12]),
[iquote('0:MRR:745.0,745.3,568.0,12.0')] ).
cnf(749,plain,
( equal(h1(e10),e21)
| equal(op2(e20,e21),e21)
| equal(e23,e21)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[513,402,707,83]),
[iquote('0:Rew:513.0,402.3,707.0,402.2,83.0,402.0')] ).
cnf(750,plain,
( equal(h1(e10),e21)
| equal(op2(e20,e21),e21) ),
inference(mrr,[status(thm)],[749,11,10]),
[iquote('0:MRR:749.2,749.3,11.0,10.0')] ).
cnf(756,plain,
( equal(op2(e23,e22),e22)
| equal(op2(e23,e22),e21) ),
inference(mrr,[status(thm)],[406,555,629]),
[iquote('0:MRR:406.0,406.3,555.0,629.0')] ).
cnf(757,plain,
( equal(op2(e23,e21),e21)
| equal(op2(e23,e21),e22) ),
inference(mrr,[status(thm)],[407,556,630]),
[iquote('0:MRR:407.0,407.3,556.0,630.0')] ).
cnf(758,plain,
( equal(h3(e10),e20)
| equal(h3(e10),e21)
| equal(h3(e10),e22)
| equal(h3(e10),e23) ),
inference(rew,[status(thm),theory(equality)],[85,410]),
[iquote('0:Rew:85.0,410.3,85.0,410.2,85.0,410.1,85.0,410.0')] ).
cnf(759,plain,
( equal(h3(e10),e22)
| equal(h3(e10),e20) ),
inference(mrr,[status(thm)],[758,600,635]),
[iquote('0:MRR:758.1,758.3,600.0,635.0')] ).
cnf(762,plain,
( equal(h2(e10),e20)
| equal(h2(e10),e21)
| equal(h2(e10),e22)
| equal(h2(e10),e23) ),
inference(rew,[status(thm),theory(equality)],[84,415]),
[iquote('0:Rew:84.0,415.3,84.0,415.2,84.0,415.1,84.0,415.0')] ).
cnf(763,plain,
( equal(h2(e10),e22)
| equal(h2(e10),e21)
| equal(h2(e10),e20) ),
inference(mrr,[status(thm)],[762,639]),
[iquote('0:MRR:762.3,639.0')] ).
cnf(766,plain,
( equal(h1(e10),e20)
| equal(h1(e10),e21)
| equal(h1(e10),e22)
| equal(h1(e10),e23) ),
inference(rew,[status(thm),theory(equality)],[83,420]),
[iquote('0:Rew:83.0,420.3,83.0,420.2,83.0,420.1,83.0,420.0')] ).
cnf(767,plain,
( equal(h1(e10),e21)
| equal(h1(e10),e20) ),
inference(mrr,[status(thm)],[766,568,633]),
[iquote('0:MRR:766.2,766.3,568.0,633.0')] ).
cnf(768,plain,
( equal(e13,e12)
| equal(op1(e11,e13),e13)
| equal(e13,e11)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[33,421,608,514]),
[iquote('0:Rew:33.0,421.3,608.0,421.2,514.0,421.0')] ).
cnf(769,plain,
equal(op1(e11,e13),e13),
inference(mrr,[status(thm)],[768,6,5,3]),
[iquote('0:MRR:768.0,768.2,768.3,6.0,5.0,3.0')] ).
cnf(770,plain,
~ equal(op1(e11,e12),e13),
inference(rew,[status(thm),theory(equality)],[769,154]),
[iquote('0:Rew:769.0,154.0')] ).
cnf(776,plain,
( equal(e13,e12)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e12),e12)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[33,424,648]),
[iquote('0:Rew:33.0,424.3,648.0,424.0')] ).
cnf(777,plain,
( equal(op1(e13,e12),e12)
| equal(op1(e13,e11),e12) ),
inference(mrr,[status(thm)],[776,6,2]),
[iquote('0:MRR:776.0,776.3,6.0,2.0')] ).
cnf(780,plain,
equal(op1(e10,e12),e13),
inference(mrr,[status(thm)],[429,770,656,650]),
[iquote('0:MRR:429.1,429.2,429.3,770.0,656.0,650.0')] ).
cnf(787,plain,
( equal(op1(e12,e10),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e12,e12),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[608,430]),
[iquote('0:Rew:608.0,430.3')] ).
cnf(788,plain,
equal(op1(e12,e11),e13),
inference(mrr,[status(thm)],[787,652,656,5]),
[iquote('0:MRR:787.0,787.2,787.3,652.0,656.0,5.0')] ).
cnf(795,plain,
( equal(e13,e12)
| equal(op1(e11,e12),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12) ),
inference(rew,[status(thm),theory(equality)],[780,431]),
[iquote('0:Rew:780.0,431.0')] ).
cnf(796,plain,
( equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12)
| equal(op1(e11,e12),e12) ),
inference(mrr,[status(thm)],[795,6]),
[iquote('0:MRR:795.0,6.0')] ).
cnf(800,plain,
( equal(e13,e11)
| equal(op1(e11,e12),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e13,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[780,433]),
[iquote('0:Rew:780.0,433.0')] ).
cnf(801,plain,
( equal(op1(e11,e12),e11)
| equal(op1(e13,e12),e11) ),
inference(mrr,[status(thm)],[800,5,610]),
[iquote('0:MRR:800.0,800.2,5.0,610.0')] ).
cnf(802,plain,
( equal(e13,e10)
| equal(op1(e11,e12),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e13,e12),e10) ),
inference(rew,[status(thm),theory(equality)],[780,435]),
[iquote('0:Rew:780.0,435.0')] ).
cnf(803,plain,
( equal(op1(e12,e12),e10)
| equal(op1(e11,e12),e10) ),
inference(mrr,[status(thm)],[802,3,585]),
[iquote('0:MRR:802.0,802.3,3.0,585.0')] ).
cnf(806,plain,
( equal(op1(e10,e11),e12)
| equal(op1(e11,e11),e12)
| equal(e13,e12)
| equal(op1(e13,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[788,439]),
[iquote('0:Rew:788.0,439.2')] ).
cnf(807,plain,
( equal(op1(e11,e11),e12)
| equal(op1(e13,e11),e12) ),
inference(mrr,[status(thm)],[806,591,6]),
[iquote('0:MRR:806.0,806.2,591.0,6.0')] ).
cnf(808,plain,
( equal(op1(e11,e10),e12)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e12),e12)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[769,440]),
[iquote('0:Rew:769.0,440.3')] ).
cnf(809,plain,
( equal(op1(e11,e12),e12)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e10),e12) ),
inference(mrr,[status(thm)],[808,6]),
[iquote('0:MRR:808.3,6.0')] ).
cnf(810,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e11,e11),e11)
| equal(e13,e11)
| equal(op1(e13,e11),e11) ),
inference(rew,[status(thm),theory(equality)],[788,441]),
[iquote('0:Rew:788.0,441.2')] ).
cnf(811,plain,
( equal(op1(e11,e11),e11)
| equal(op1(e13,e11),e11)
| equal(op1(e10,e11),e11) ),
inference(mrr,[status(thm)],[810,5]),
[iquote('0:MRR:810.2,5.0')] ).
cnf(816,plain,
( equal(op1(e11,e10),e10)
| equal(op1(e11,e11),e10)
| equal(op1(e11,e12),e10)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[769,444]),
[iquote('0:Rew:769.0,444.3')] ).
cnf(817,plain,
( equal(op1(e11,e11),e10)
| equal(op1(e11,e10),e10)
| equal(op1(e11,e12),e10) ),
inference(mrr,[status(thm)],[816,3]),
[iquote('0:MRR:816.3,3.0')] ).
cnf(818,plain,
( equal(op1(e10,e10),e12)
| equal(op1(e11,e10),e12)
| equal(op1(e12,e10),e12)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[648,447]),
[iquote('0:Rew:648.0,447.3')] ).
cnf(819,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e11,e10),e12) ),
inference(mrr,[status(thm)],[818,592,6]),
[iquote('0:MRR:818.0,818.3,592.0,6.0')] ).
cnf(820,plain,
( equal(op1(e10,e10),e11)
| equal(op1(e11,e10),e11)
| equal(op1(e12,e10),e11)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[648,449]),
[iquote('0:Rew:648.0,449.3')] ).
cnf(821,plain,
( equal(op1(e11,e10),e11)
| equal(op1(e10,e10),e11) ),
inference(mrr,[status(thm)],[820,612,5]),
[iquote('0:MRR:820.2,820.3,612.0,5.0')] ).
cnf(829,plain,
( equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e11) ),
inference(mrr,[status(thm)],[454,585,650]),
[iquote('0:MRR:454.0,454.3,585.0,650.0')] ).
cnf(831,plain,
( equal(op1(e12,e12),e12)
| equal(op1(e12,e12),e10) ),
inference(mrr,[status(thm)],[458,610,656]),
[iquote('0:MRR:458.1,458.3,610.0,656.0')] ).
cnf(832,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e10),e10) ),
inference(mrr,[status(thm)],[460,612,652]),
[iquote('0:MRR:460.1,460.3,612.0,652.0')] ).
cnf(834,plain,
( equal(op1(e11,e11),e11)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e11),e10) ),
inference(mrr,[status(thm)],[463,657]),
[iquote('0:MRR:463.3,657.0')] ).
cnf(849,plain,
( ~ equal(h3(e12),e23)
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e10),h3(e11)),h3(op1(e10,e11)))
| ~ equal(op2(h3(e10),h3(e12)),e22)
| ~ equal(h3(e12),h3(e12))
| ~ equal(op2(h3(e11),h3(e10)),h3(op1(e11,e10)))
| ~ equal(op2(h3(e11),h3(e11)),h3(op1(e11,e11)))
| ~ equal(op2(h3(e11),h3(e12)),h3(op1(e11,e12)))
| ~ equal(op2(h3(e11),e22),e22)
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e12),h3(e11)),e22)
| ~ equal(op2(h3(e12),h3(e12)),h3(op1(e12,e12)))
| ~ equal(h3(e11),h3(e11))
| ~ equal(op2(e22,h3(e10)),e22)
| ~ equal(op2(e22,h3(e11)),h3(op1(e13,e11)))
| ~ equal(op2(e22,h3(e12)),h3(op1(e13,e12)))
| ~ equal(h3(e10),h3(e10))
| ~ skC36
| ~ skC37
| ~ skC38 ),
inference(rew,[status(thm),theory(equality)],[85,482,31,33,648,621,608,788,769,526,514,780]),
[iquote('0:Rew:85.0,482.16,31.0,482.16,33.0,482.16,31.0,482.15,31.0,482.14,31.0,482.13,648.0,482.13,621.0,482.12,31.0,482.12,608.0,482.12,31.0,482.10,788.0,482.10,31.0,482.8,769.0,482.8,526.0,482.4,31.0,482.4,514.0,482.4,31.0,482.3,780.0,482.3')] ).
cnf(850,plain,
( ~ equal(h3(e12),e23)
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e10),h3(e11)),h3(op1(e10,e11)))
| ~ equal(op2(h3(e10),h3(e12)),e22)
| ~ equal(op2(h3(e11),h3(e10)),h3(op1(e11,e10)))
| ~ equal(op2(h3(e11),h3(e11)),h3(op1(e11,e11)))
| ~ equal(op2(h3(e11),h3(e12)),h3(op1(e11,e12)))
| ~ equal(op2(h3(e11),e22),e22)
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e12),h3(e11)),e22)
| ~ equal(op2(h3(e12),h3(e12)),h3(op1(e12,e12)))
| ~ equal(op2(e22,h3(e10)),e22)
| ~ equal(op2(e22,h3(e11)),h3(op1(e13,e11)))
| ~ equal(op2(e22,h3(e12)),h3(op1(e13,e12)))
| ~ skC36
| ~ skC37
| ~ skC38 ),
inference(obv,[status(thm),theory(equality)],[849]),
[iquote('0:Obv:849.16')] ).
cnf(851,plain,
( ~ skC37
| ~ skC36
| ~ equal(h3(e12),e23)
| ~ equal(op2(e22,h3(e10)),e22)
| ~ equal(op2(e22,h3(e12)),h3(op1(e13,e12)))
| ~ equal(op2(e22,h3(e11)),h3(op1(e13,e11)))
| ~ equal(op2(h3(e11),e22),e22)
| ~ equal(op2(h3(e12),h3(e11)),e22)
| ~ equal(op2(h3(e10),h3(e12)),e22)
| ~ equal(op2(h3(e12),h3(e12)),h3(op1(e12,e12)))
| ~ equal(op2(h3(e11),h3(e11)),h3(op1(e11,e11)))
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e11),h3(e12)),h3(op1(e11,e12)))
| ~ equal(op2(h3(e11),h3(e10)),h3(op1(e11,e10)))
| ~ equal(op2(h3(e10),h3(e11)),h3(op1(e10,e11))) ),
inference(mrr,[status(thm)],[850,502]),
[iquote('0:MRR:850.16,502.0')] ).
cnf(871,plain,
equal(h2(e10),e22),
inference(spt,[spt(split,[position(s1)])],[763]),
[iquote('1:Spt:763.0')] ).
cnf(881,plain,
( equal(h3(e10),e22)
| equal(e22,e21)
| equal(h1(e10),e20) ),
inference(rew,[status(thm),theory(equality)],[871,687]),
[iquote('1:Rew:871.0,687.1')] ).
cnf(891,plain,
~ equal(op2(e21,e20),e22),
inference(rew,[status(thm),theory(equality)],[871,564]),
[iquote('1:Rew:871.0,564.0')] ).
cnf(892,plain,
~ equal(op2(e23,e21),e22),
inference(rew,[status(thm),theory(equality)],[871,579]),
[iquote('1:Rew:871.0,579.0')] ).
cnf(905,plain,
equal(op2(e22,e20),e22),
inference(mrr,[status(thm)],[746,891]),
[iquote('1:MRR:746.1,891.0')] ).
cnf(911,plain,
~ equal(h3(e10),e22),
inference(rew,[status(thm),theory(equality)],[905,561]),
[iquote('1:Rew:905.0,561.0')] ).
cnf(914,plain,
equal(h3(e10),e20),
inference(mrr,[status(thm)],[759,911]),
[iquote('1:MRR:759.0,911.0')] ).
cnf(927,plain,
equal(op2(e23,e21),e21),
inference(mrr,[status(thm)],[757,892]),
[iquote('1:MRR:757.1,892.0')] ).
cnf(936,plain,
~ equal(op2(e20,e21),e21),
inference(rew,[status(thm),theory(equality)],[927,175]),
[iquote('1:Rew:927.0,175.0')] ).
cnf(945,plain,
equal(h1(e10),e21),
inference(mrr,[status(thm)],[750,936]),
[iquote('1:MRR:750.1,936.0')] ).
cnf(989,plain,
( equal(e22,e20)
| equal(e22,e21)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[945,881,914]),
[iquote('1:Rew:945.0,881.2,914.0,881.0')] ).
cnf(990,plain,
$false,
inference(mrr,[status(thm)],[989,8,10,7]),
[iquote('1:MRR:989.0,989.1,989.2,8.0,10.0,7.0')] ).
cnf(1004,plain,
~ equal(h2(e10),e22),
inference(spt,[spt(split,[position(sa)])],[990,871]),
[iquote('1:Spt:990.0,763.0,871.0')] ).
cnf(1005,plain,
( equal(h2(e10),e21)
| equal(h2(e10),e20) ),
inference(spt,[spt(split,[position(s2)])],[763]),
[iquote('1:Spt:990.0,763.1,763.2')] ).
cnf(1006,plain,
equal(op2(e23,e21),e22),
inference(mrr,[status(thm)],[734,1004]),
[iquote('1:MRR:734.0,1004.0')] ).
cnf(1010,plain,
( ~ skC28
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[1006,115]),
[iquote('1:Rew:1006.0,115.1')] ).
cnf(1011,plain,
~ equal(op2(e23,e22),e22),
inference(rew,[status(thm),theory(equality)],[1006,212]),
[iquote('1:Rew:1006.0,212.0')] ).
cnf(1013,plain,
~ skC28,
inference(mrr,[status(thm)],[1010,10]),
[iquote('1:MRR:1010.1,10.0')] ).
cnf(1014,plain,
( skC29
| skC23
| skC22
| skC21
| skC19 ),
inference(mrr,[status(thm)],[689,1013]),
[iquote('1:MRR:689.1,1013.0')] ).
cnf(1015,plain,
~ skC29,
inference(mrr,[status(thm)],[116,1011]),
[iquote('1:MRR:116.1,1011.0')] ).
cnf(1016,plain,
( skC23
| skC22
| skC21
| skC19 ),
inference(mrr,[status(thm)],[1014,1015]),
[iquote('1:MRR:1014.0,1015.0')] ).
cnf(1017,plain,
equal(op2(e23,e22),e21),
inference(mrr,[status(thm)],[756,1011]),
[iquote('1:MRR:756.0,1011.0')] ).
cnf(1021,plain,
~ equal(op2(e21,e22),e21),
inference(rew,[status(thm),theory(equality)],[1017,183]),
[iquote('1:Rew:1017.0,183.0')] ).
cnf(1024,plain,
( equal(h2(e10),e21)
| equal(e22,e21)
| equal(op2(e20,e21),e21) ),
inference(rew,[status(thm),theory(equality)],[1006,738]),
[iquote('1:Rew:1006.0,738.1')] ).
cnf(1025,plain,
( equal(h2(e10),e21)
| equal(op2(e20,e21),e21) ),
inference(mrr,[status(thm)],[1024,10]),
[iquote('1:MRR:1024.1,10.0')] ).
cnf(1026,plain,
( equal(h2(e10),e21)
| equal(op2(e21,e20),e21) ),
inference(mrr,[status(thm)],[740,1021]),
[iquote('1:MRR:740.1,1021.0')] ).
cnf(1028,plain,
( equal(h3(e10),e22)
| equal(e22,e21)
| equal(op2(e21,e22),e22) ),
inference(rew,[status(thm),theory(equality)],[1017,723]),
[iquote('1:Rew:1017.0,723.1')] ).
cnf(1029,plain,
( equal(h3(e10),e22)
| equal(op2(e21,e22),e22) ),
inference(mrr,[status(thm)],[1028,10]),
[iquote('1:MRR:1028.1,10.0')] ).
cnf(1032,plain,
equal(h2(e10),e21),
inference(spt,[spt(split,[position(s2s1)])],[1005]),
[iquote('2:Spt:1005.0')] ).
cnf(1036,plain,
( equal(e21,e20)
| equal(op2(e21,e20),e20)
| equal(op2(e21,e22),e20) ),
inference(rew,[status(thm),theory(equality)],[1032,744]),
[iquote('2:Rew:1032.0,744.0')] ).
cnf(1039,plain,
~ equal(op2(e20,e21),e21),
inference(rew,[status(thm),theory(equality)],[1032,581]),
[iquote('2:Rew:1032.0,581.0')] ).
cnf(1043,plain,
( ~ skC19
| ~ equal(e21,e21) ),
inference(rew,[status(thm),theory(equality)],[1032,541]),
[iquote('2:Rew:1032.0,541.1')] ).
cnf(1044,plain,
( ~ skC21
| ~ equal(e21,e21) ),
inference(rew,[status(thm),theory(equality)],[1032,538]),
[iquote('2:Rew:1032.0,538.1')] ).
cnf(1045,plain,
( ~ skC22
| ~ equal(e21,e21) ),
inference(rew,[status(thm),theory(equality)],[1032,537]),
[iquote('2:Rew:1032.0,537.1')] ).
cnf(1049,plain,
equal(h1(e10),e21),
inference(mrr,[status(thm)],[750,1039]),
[iquote('2:MRR:750.1,1039.0')] ).
cnf(1061,plain,
equal(op2(e21,e20),h1(e12)),
inference(rew,[status(thm),theory(equality)],[1049,528]),
[iquote('2:Rew:1049.0,528.0')] ).
cnf(1075,plain,
~ skC19,
inference(obv,[status(thm),theory(equality)],[1043]),
[iquote('2:Obv:1043.1')] ).
cnf(1076,plain,
( skC23
| skC22
| skC21 ),
inference(mrr,[status(thm)],[1016,1075]),
[iquote('2:MRR:1016.3,1075.0')] ).
cnf(1077,plain,
~ skC21,
inference(obv,[status(thm),theory(equality)],[1044]),
[iquote('2:Obv:1044.1')] ).
cnf(1078,plain,
( skC23
| skC22 ),
inference(mrr,[status(thm)],[1076,1077]),
[iquote('2:MRR:1076.2,1077.0')] ).
cnf(1079,plain,
~ skC22,
inference(obv,[status(thm),theory(equality)],[1045]),
[iquote('2:Obv:1045.1')] ).
cnf(1080,plain,
skC23,
inference(mrr,[status(thm)],[1078,1079]),
[iquote('2:MRR:1078.1,1079.0')] ).
cnf(1081,plain,
equal(op2(e22,e20),e20),
inference(mrr,[status(thm)],[110,1080]),
[iquote('2:MRR:110.0,1080.0')] ).
cnf(1082,plain,
~ equal(h3(e10),e22),
inference(mrr,[status(thm)],[536,1080]),
[iquote('2:MRR:536.0,1080.0')] ).
cnf(1086,plain,
~ equal(op2(e21,e20),e20),
inference(rew,[status(thm),theory(equality)],[1081,170]),
[iquote('2:Rew:1081.0,170.0')] ).
cnf(1090,plain,
equal(op2(e21,e22),e22),
inference(mrr,[status(thm)],[1029,1082]),
[iquote('2:MRR:1029.0,1082.0')] ).
cnf(1116,plain,
~ equal(h1(e12),e20),
inference(rew,[status(thm),theory(equality)],[1061,1086]),
[iquote('2:Rew:1061.0,1086.0')] ).
cnf(1132,plain,
( equal(e21,e20)
| equal(h1(e12),e20)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[1090,1036,1061]),
[iquote('2:Rew:1090.0,1036.2,1061.0,1036.1')] ).
cnf(1133,plain,
$false,
inference(mrr,[status(thm)],[1132,7,1116,8]),
[iquote('2:MRR:1132.0,1132.1,1132.2,7.0,1116.0,8.0')] ).
cnf(1146,plain,
~ equal(h2(e10),e21),
inference(spt,[spt(split,[position(s2sa)])],[1133,1032]),
[iquote('2:Spt:1133.0,1005.0,1032.0')] ).
cnf(1147,plain,
equal(h2(e10),e20),
inference(spt,[spt(split,[position(s2s2)])],[1005]),
[iquote('2:Spt:1133.0,1005.1')] ).
cnf(1153,plain,
equal(op2(e21,e21),e20),
inference(rew,[status(thm),theory(equality)],[1147,84]),
[iquote('2:Rew:1147.0,84.0')] ).
cnf(1157,plain,
equal(op2(e20,e21),h2(e12)),
inference(rew,[status(thm),theory(equality)],[1147,527]),
[iquote('2:Rew:1147.0,527.0')] ).
cnf(1163,plain,
~ equal(h2(e12),h1(e10)),
inference(rew,[status(thm),theory(equality)],[1157,570]),
[iquote('2:Rew:1157.0,570.0')] ).
cnf(1166,plain,
( equal(e21,e20)
| equal(h2(e12),e21) ),
inference(rew,[status(thm),theory(equality)],[1157,1025,1147]),
[iquote('2:Rew:1157.0,1025.1,1147.0,1025.0')] ).
cnf(1167,plain,
equal(h2(e12),e21),
inference(mrr,[status(thm)],[1166,7]),
[iquote('2:MRR:1166.0,7.0')] ).
cnf(1168,plain,
equal(op2(e20,e21),e21),
inference(rew,[status(thm),theory(equality)],[1167,1157]),
[iquote('2:Rew:1167.0,1157.0')] ).
cnf(1172,plain,
~ equal(h1(e10),e21),
inference(rew,[status(thm),theory(equality)],[1167,1163]),
[iquote('2:Rew:1167.0,1163.0')] ).
cnf(1174,plain,
equal(h1(e10),e20),
inference(mrr,[status(thm)],[767,1172]),
[iquote('2:MRR:767.0,1172.0')] ).
cnf(1177,plain,
equal(op2(e20,e20),e20),
inference(rew,[status(thm),theory(equality)],[1174,83]),
[iquote('2:Rew:1174.0,83.0')] ).
cnf(1180,plain,
~ equal(op2(e22,e20),e20),
inference(rew,[status(thm),theory(equality)],[1174,583]),
[iquote('2:Rew:1174.0,583.0')] ).
cnf(1193,plain,
( equal(e21,e20)
| equal(op2(e21,e20),e21) ),
inference(rew,[status(thm),theory(equality)],[1147,1026]),
[iquote('2:Rew:1147.0,1026.0')] ).
cnf(1194,plain,
equal(op2(e21,e20),e21),
inference(mrr,[status(thm)],[1193,7]),
[iquote('2:MRR:1193.0,7.0')] ).
cnf(1199,plain,
equal(h3(e10),e20),
inference(mrr,[status(thm)],[732,1180]),
[iquote('2:MRR:732.1,1180.0')] ).
cnf(1202,plain,
( ~ equal(e20,e20)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[1199,59]),
[iquote('2:Rew:1199.0,59.0')] ).
cnf(1205,plain,
equal(op2(e20,e22),h3(e12)),
inference(rew,[status(thm),theory(equality)],[1199,526]),
[iquote('2:Rew:1199.0,526.0')] ).
cnf(1207,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[1202]),
[iquote('2:Obv:1202.0')] ).
cnf(1208,plain,
equal(h3(e12),e23),
inference(rew,[status(thm),theory(equality)],[707,1205]),
[iquote('2:Rew:707.0,1205.0')] ).
cnf(1210,plain,
equal(op2(e23,e22),h3(e11)),
inference(rew,[status(thm),theory(equality)],[1208,621]),
[iquote('2:Rew:1208.0,621.0')] ).
cnf(1211,plain,
equal(h3(e11),e21),
inference(rew,[status(thm),theory(equality)],[1017,1210]),
[iquote('2:Rew:1017.0,1210.0')] ).
cnf(1212,plain,
( ~ equal(e21,e21)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[1211,64]),
[iquote('2:Rew:1211.0,64.0')] ).
cnf(1213,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[1212]),
[iquote('2:Obv:1212.0')] ).
cnf(1214,plain,
( equal(e22,e20)
| equal(op2(e22,e20),e22) ),
inference(rew,[status(thm),theory(equality)],[1199,725]),
[iquote('2:Rew:1199.0,725.0')] ).
cnf(1215,plain,
equal(op2(e22,e20),e22),
inference(mrr,[status(thm)],[1214,8]),
[iquote('2:MRR:1214.0,8.0')] ).
cnf(1219,plain,
( equal(e22,e20)
| equal(op2(e21,e22),e22) ),
inference(rew,[status(thm),theory(equality)],[1199,1029]),
[iquote('2:Rew:1199.0,1029.0')] ).
cnf(1220,plain,
equal(op2(e21,e22),e22),
inference(mrr,[status(thm)],[1219,8]),
[iquote('2:MRR:1219.0,8.0')] ).
cnf(1227,plain,
( ~ skC37
| ~ skC36
| ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(h3(op1(e13,e12)),e21)
| ~ equal(h3(op1(e13,e11)),e23)
| ~ equal(e22,e22)
| ~ equal(e22,e22)
| ~ equal(e22,e22)
| ~ equal(h3(op1(e12,e12)),e20)
| ~ equal(h3(op1(e11,e11)),e20)
| ~ equal(h3(op1(e10,e10)),e20)
| ~ equal(h3(op1(e12,e10)),e23)
| ~ equal(h3(op1(e11,e12)),e23)
| ~ equal(h3(op1(e11,e10)),e21)
| ~ equal(h3(op1(e10,e11)),e21) ),
inference(rew,[status(thm),theory(equality)],[1168,851,1199,1211,1194,695,1208,627,1177,1153,34,513,1006,1220,715,598,1215]),
[iquote('2:Rew:1168.0,851.15,1199.0,851.15,1211.0,851.15,1194.0,851.14,1211.0,851.14,1199.0,851.14,695.0,851.13,1211.0,851.13,1208.0,851.13,627.0,851.12,1208.0,851.12,1199.0,851.12,1177.0,851.11,1199.0,851.11,1153.0,851.10,1211.0,851.10,34.0,851.9,1208.0,851.9,513.0,851.8,1199.0,851.8,1208.0,851.8,1006.0,851.7,1208.0,851.7,1211.0,851.7,1220.0,851.6,1211.0,851.6,715.0,851.5,1211.0,851.5,598.0,851.4,1208.0,851.4,1215.0,851.3,1199.0,851.3,1208.0,851.2')] ).
cnf(1228,plain,
( ~ skC37
| ~ skC36
| ~ equal(h3(op1(e13,e12)),e21)
| ~ equal(h3(op1(e13,e11)),e23)
| ~ equal(h3(op1(e12,e12)),e20)
| ~ equal(h3(op1(e11,e11)),e20)
| ~ equal(h3(op1(e10,e10)),e20)
| ~ equal(h3(op1(e12,e10)),e23)
| ~ equal(h3(op1(e11,e12)),e23)
| ~ equal(h3(op1(e11,e10)),e21)
| ~ equal(h3(op1(e10,e11)),e21) ),
inference(obv,[status(thm),theory(equality)],[1227]),
[iquote('2:Obv:1227.8')] ).
cnf(1229,plain,
( ~ equal(h3(op1(e13,e12)),e21)
| ~ equal(h3(op1(e13,e11)),e23)
| ~ equal(h3(op1(e12,e12)),e20)
| ~ equal(h3(op1(e11,e11)),e20)
| ~ equal(h3(op1(e10,e10)),e20)
| ~ equal(h3(op1(e12,e10)),e23)
| ~ equal(h3(op1(e11,e12)),e23)
| ~ equal(h3(op1(e11,e10)),e21)
| ~ equal(h3(op1(e10,e11)),e21) ),
inference(mrr,[status(thm)],[1228,1213,1207]),
[iquote('2:MRR:1228.0,1228.1,1213.0,1207.0')] ).
cnf(1239,plain,
equal(op1(e11,e11),e11),
inference(spt,[spt(split,[position(s2s2s1)])],[834]),
[iquote('3:Spt:834.0')] ).
cnf(1240,plain,
( ~ skC4
| ~ equal(e11,e11) ),
inference(rew,[status(thm),theory(equality)],[1239,219]),
[iquote('3:Rew:1239.0,219.1')] ).
cnf(1241,plain,
( ~ skC6
| ~ equal(e11,e11) ),
inference(rew,[status(thm),theory(equality)],[1239,221]),
[iquote('3:Rew:1239.0,221.1')] ).
cnf(1242,plain,
( ~ skC7
| ~ equal(e11,e11) ),
inference(rew,[status(thm),theory(equality)],[1239,222]),
[iquote('3:Rew:1239.0,222.1')] ).
cnf(1251,plain,
~ equal(op1(e11,e12),e11),
inference(rew,[status(thm),theory(equality)],[1239,152]),
[iquote('3:Rew:1239.0,152.0')] ).
cnf(1253,plain,
~ equal(op1(e13,e11),e11),
inference(rew,[status(thm),theory(equality)],[1239,129]),
[iquote('3:Rew:1239.0,129.0')] ).
cnf(1257,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[1240]),
[iquote('3:Obv:1240.1')] ).
cnf(1258,plain,
( skC14
| skC13
| skC8
| skC7
| skC6 ),
inference(mrr,[status(thm)],[693,1257]),
[iquote('3:MRR:693.5,1257.0')] ).
cnf(1259,plain,
~ skC6,
inference(obv,[status(thm),theory(equality)],[1241]),
[iquote('3:Obv:1241.1')] ).
cnf(1260,plain,
( skC14
| skC13
| skC8
| skC7 ),
inference(mrr,[status(thm)],[1258,1259]),
[iquote('3:MRR:1258.4,1259.0')] ).
cnf(1261,plain,
~ skC7,
inference(obv,[status(thm),theory(equality)],[1242]),
[iquote('3:Obv:1242.1')] ).
cnf(1262,plain,
( skC14
| skC13
| skC8 ),
inference(mrr,[status(thm)],[1260,1261]),
[iquote('3:MRR:1260.3,1261.0')] ).
cnf(1263,plain,
equal(op1(e13,e12),e11),
inference(mrr,[status(thm)],[801,1251]),
[iquote('3:MRR:801.0,1251.0')] ).
cnf(1265,plain,
( equal(op1(e12,e12),e12)
| equal(e12,e11)
| equal(op1(e11,e12),e12) ),
inference(rew,[status(thm),theory(equality)],[1263,796]),
[iquote('3:Rew:1263.0,796.1')] ).
cnf(1267,plain,
( ~ skC14
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1263,101]),
[iquote('3:Rew:1263.0,101.1')] ).
cnf(1273,plain,
~ skC14,
inference(mrr,[status(thm)],[1267,4]),
[iquote('3:MRR:1267.1,4.0')] ).
cnf(1274,plain,
( skC13
| skC8 ),
inference(mrr,[status(thm)],[1262,1273]),
[iquote('3:MRR:1262.0,1273.0')] ).
cnf(1284,plain,
~ skC13,
inference(mrr,[status(thm)],[100,1253]),
[iquote('3:MRR:100.1,1253.0')] ).
cnf(1286,plain,
skC8,
inference(mrr,[status(thm)],[1274,1284]),
[iquote('3:MRR:1274.0,1284.0')] ).
cnf(1287,plain,
equal(op1(e12,e10),e10),
inference(mrr,[status(thm)],[95,1286]),
[iquote('3:MRR:95.0,1286.0')] ).
cnf(1288,plain,
~ equal(op1(e12,e12),e12),
inference(mrr,[status(thm)],[223,1286]),
[iquote('3:MRR:223.0,1286.0')] ).
cnf(1293,plain,
( equal(e12,e10)
| equal(op1(e11,e10),e12) ),
inference(rew,[status(thm),theory(equality)],[1287,819]),
[iquote('3:Rew:1287.0,819.0')] ).
cnf(1306,plain,
equal(op1(e12,e12),e10),
inference(mrr,[status(thm)],[831,1288]),
[iquote('3:MRR:831.0,1288.0')] ).
cnf(1314,plain,
equal(op1(e11,e10),e12),
inference(mrr,[status(thm)],[1293,2]),
[iquote('3:MRR:1293.0,2.0')] ).
cnf(1316,plain,
~ equal(op1(e11,e12),e12),
inference(rew,[status(thm),theory(equality)],[1314,150]),
[iquote('3:Rew:1314.0,150.0')] ).
cnf(1325,plain,
( equal(e12,e10)
| equal(e12,e11)
| equal(op1(e11,e12),e12) ),
inference(rew,[status(thm),theory(equality)],[1306,1265]),
[iquote('3:Rew:1306.0,1265.0')] ).
cnf(1326,plain,
$false,
inference(mrr,[status(thm)],[1325,2,4,1316]),
[iquote('3:MRR:1325.0,1325.1,1325.2,2.0,4.0,1316.0')] ).
cnf(1331,plain,
~ equal(op1(e11,e11),e11),
inference(spt,[spt(split,[position(s2s2sa)])],[1326,1239]),
[iquote('3:Spt:1326.0,834.0,1239.0')] ).
cnf(1332,plain,
( equal(op1(e11,e11),e12)
| equal(op1(e11,e11),e10) ),
inference(spt,[spt(split,[position(s2s2s2)])],[834]),
[iquote('3:Spt:1326.0,834.1,834.2')] ).
cnf(1333,plain,
( equal(op1(e12,e12),e12)
| equal(op1(e10,e10),e10) ),
inference(mrr,[status(thm)],[691,1331]),
[iquote('3:MRR:691.1,1331.0')] ).
cnf(1334,plain,
( equal(op1(e13,e11),e11)
| equal(op1(e10,e11),e11) ),
inference(mrr,[status(thm)],[811,1331]),
[iquote('3:MRR:811.0,1331.0')] ).
cnf(1336,plain,
equal(op1(e11,e11),e12),
inference(spt,[spt(split,[position(s2s2s2s1)])],[1332]),
[iquote('4:Spt:1332.0')] ).
cnf(1340,plain,
~ equal(op1(e13,e11),e12),
inference(rew,[status(thm),theory(equality)],[1336,129]),
[iquote('4:Rew:1336.0,129.0')] ).
cnf(1345,plain,
( equal(e12,e10)
| equal(op1(e11,e10),e10)
| equal(op1(e11,e12),e10) ),
inference(rew,[status(thm),theory(equality)],[1336,817]),
[iquote('4:Rew:1336.0,817.0')] ).
cnf(1350,plain,
equal(op1(e13,e12),e12),
inference(mrr,[status(thm)],[777,1340]),
[iquote('4:MRR:777.1,1340.0')] ).
cnf(1355,plain,
~ equal(op1(e12,e12),e12),
inference(rew,[status(thm),theory(equality)],[1350,136]),
[iquote('4:Rew:1350.0,136.0')] ).
cnf(1358,plain,
( equal(op1(e11,e12),e11)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1350,801]),
[iquote('4:Rew:1350.0,801.1')] ).
cnf(1380,plain,
equal(op1(e10,e10),e10),
inference(mrr,[status(thm)],[1333,1355]),
[iquote('4:MRR:1333.0,1355.0')] ).
cnf(1391,plain,
~ equal(op1(e11,e10),e10),
inference(rew,[status(thm),theory(equality)],[1380,119]),
[iquote('4:Rew:1380.0,119.0')] ).
cnf(1404,plain,
equal(op1(e11,e12),e11),
inference(mrr,[status(thm)],[1358,4]),
[iquote('4:MRR:1358.1,4.0')] ).
cnf(1415,plain,
( equal(e12,e10)
| equal(op1(e11,e10),e10)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[1404,1345]),
[iquote('4:Rew:1404.0,1345.2')] ).
cnf(1416,plain,
$false,
inference(mrr,[status(thm)],[1415,2,1391,1]),
[iquote('4:MRR:1415.0,1415.1,1415.2,2.0,1391.0,1.0')] ).
cnf(1421,plain,
~ equal(op1(e11,e11),e12),
inference(spt,[spt(split,[position(s2s2s2sa)])],[1416,1336]),
[iquote('4:Spt:1416.0,1332.0,1336.0')] ).
cnf(1422,plain,
equal(op1(e11,e11),e10),
inference(spt,[spt(split,[position(s2s2s2s2)])],[1332]),
[iquote('4:Spt:1416.0,1332.1')] ).
cnf(1427,plain,
~ equal(op1(e11,e12),e10),
inference(rew,[status(thm),theory(equality)],[1422,152]),
[iquote('4:Rew:1422.0,152.0')] ).
cnf(1433,plain,
( equal(e12,e10)
| equal(op1(e13,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[1422,807]),
[iquote('4:Rew:1422.0,807.0')] ).
cnf(1434,plain,
equal(op1(e13,e11),e12),
inference(mrr,[status(thm)],[1433,2]),
[iquote('4:MRR:1433.0,2.0')] ).
cnf(1438,plain,
~ equal(op1(e13,e12),e12),
inference(rew,[status(thm),theory(equality)],[1434,164]),
[iquote('4:Rew:1434.0,164.0')] ).
cnf(1444,plain,
equal(op1(e13,e12),e11),
inference(mrr,[status(thm)],[829,1438]),
[iquote('4:MRR:829.0,1438.0')] ).
cnf(1450,plain,
( equal(e12,e11)
| equal(op1(e10,e11),e11) ),
inference(rew,[status(thm),theory(equality)],[1434,1334]),
[iquote('4:Rew:1434.0,1334.0')] ).
cnf(1451,plain,
equal(op1(e10,e11),e11),
inference(mrr,[status(thm)],[1450,4]),
[iquote('4:MRR:1450.0,4.0')] ).
cnf(1456,plain,
equal(op1(e12,e12),e10),
inference(mrr,[status(thm)],[803,1427]),
[iquote('4:MRR:803.1,1427.0')] ).
cnf(1459,plain,
~ equal(op1(e12,e10),e10),
inference(rew,[status(thm),theory(equality)],[1456,156]),
[iquote('4:Rew:1456.0,156.0')] ).
cnf(1460,plain,
( equal(e12,e10)
| equal(op1(e10,e10),e10) ),
inference(rew,[status(thm),theory(equality)],[1456,1333]),
[iquote('4:Rew:1456.0,1333.0')] ).
cnf(1465,plain,
equal(op1(e12,e10),e12),
inference(mrr,[status(thm)],[832,1459]),
[iquote('4:MRR:832.1,1459.0')] ).
cnf(1472,plain,
equal(op1(e10,e10),e10),
inference(mrr,[status(thm)],[1460,2]),
[iquote('4:MRR:1460.0,2.0')] ).
cnf(1477,plain,
( equal(op1(e11,e10),e11)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[1472,821]),
[iquote('4:Rew:1472.0,821.1')] ).
cnf(1478,plain,
equal(op1(e11,e10),e11),
inference(mrr,[status(thm)],[1477,1]),
[iquote('4:MRR:1477.1,1.0')] ).
cnf(1484,plain,
( equal(op1(e11,e12),e12)
| equal(e12,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1478,809,1422]),
[iquote('4:Rew:1478.0,809.2,1422.0,809.1')] ).
cnf(1485,plain,
equal(op1(e11,e12),e12),
inference(mrr,[status(thm)],[1484,2,4]),
[iquote('4:MRR:1484.1,1484.2,2.0,4.0')] ).
cnf(1491,plain,
( ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e20,e20)
| ~ equal(e20,e20)
| ~ equal(e23,e23)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e21,e21) ),
inference(rew,[status(thm),theory(equality)],[1211,1229,1451,1478,1208,1485,1465,1199,1472,1422,1456,1434,1444]),
[iquote('4:Rew:1211.0,1229.8,1451.0,1229.8,1211.0,1229.7,1478.0,1229.7,1208.0,1229.6,1485.0,1229.6,1208.0,1229.5,1465.0,1229.5,1199.0,1229.4,1472.0,1229.4,1199.0,1229.3,1422.0,1229.3,1199.0,1229.2,1456.0,1229.2,1208.0,1229.1,1434.0,1229.1,1211.0,1229.0,1444.0,1229.0')] ).
cnf(1492,plain,
$false,
inference(obv,[status(thm),theory(equality)],[1491]),
[iquote('4:Obv:1491.8')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 10:57:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/0.62
% 0.43/0.62 SPASS V 3.9
% 0.43/0.62 SPASS beiseite: Proof found.
% 0.43/0.62 % SZS status Theorem
% 0.43/0.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.62 SPASS derived 487 clauses, backtracked 343 clauses, performed 4 splits and kept 810 clauses.
% 0.43/0.62 SPASS allocated 86711 KBytes.
% 0.43/0.62 SPASS spent 0:00:00.27 on the problem.
% 0.43/0.62 0:00:00.04 for the input.
% 0.43/0.62 0:00:00.10 for the FLOTTER CNF translation.
% 0.43/0.62 0:00:00.00 for inferences.
% 0.43/0.62 0:00:00.00 for the backtracking.
% 0.43/0.62 0:00:00.10 for the reduction.
% 0.43/0.62
% 0.43/0.62
% 0.43/0.62 Here is a proof with depth 2, length 460 :
% 0.43/0.62 % SZS output start Refutation
% See solution above
% 0.43/0.63 Formulae used in the proof : ax7 ax8 ax16 ax12 ax13 co1 ax14 ax15 ax10 ax11 ax5 ax6 ax4 ax3 ax2 ax1
% 0.43/0.63
%------------------------------------------------------------------------------