TSTP Solution File: ALG038+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 18:02:04 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 130
% Syntax : Number of clauses : 431 ( 283 unt; 131 nHn; 431 RR)
% Number of literals : 859 ( 0 equ; 327 neg)
% Maximal clause size : 20 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e11,e10),
file('ALG038+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG038+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG038+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e12,e11),
file('ALG038+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e13,e11),
file('ALG038+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e12),
file('ALG038+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e21,e20),
file('ALG038+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e22,e20),
file('ALG038+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e23,e20),
file('ALG038+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e22,e21),
file('ALG038+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e23,e21),
file('ALG038+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e23,e22),
file('ALG038+1.p',unknown),
[] ).
cnf(31,axiom,
equal(h3(e11),e22),
file('ALG038+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op1(unit1,e10),e10),
file('ALG038+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op1(e10,unit1),e10),
file('ALG038+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op1(unit1,e11),e11),
file('ALG038+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op1(unit1,e12),e12),
file('ALG038+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op1(e12,unit1),e12),
file('ALG038+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op1(unit1,e13),e13),
file('ALG038+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op1(e13,unit1),e13),
file('ALG038+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op2(unit2,e20),e20),
file('ALG038+1.p',unknown),
[] ).
cnf(42,axiom,
equal(op2(e20,unit2),e20),
file('ALG038+1.p',unknown),
[] ).
cnf(43,axiom,
equal(op2(unit2,e21),e21),
file('ALG038+1.p',unknown),
[] ).
cnf(45,axiom,
equal(op2(unit2,e22),e22),
file('ALG038+1.p',unknown),
[] ).
cnf(46,axiom,
equal(op2(e22,unit2),e22),
file('ALG038+1.p',unknown),
[] ).
cnf(47,axiom,
equal(op2(unit2,e23),e23),
file('ALG038+1.p',unknown),
[] ).
cnf(48,axiom,
equal(op2(e23,unit2),e23),
file('ALG038+1.p',unknown),
[] ).
cnf(49,axiom,
equal(op1(e11,e11),e13),
file('ALG038+1.p',unknown),
[] ).
cnf(50,axiom,
equal(op2(e21,e21),e23),
file('ALG038+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ equal(h3(e10),e20)
| skC6 ),
file('ALG038+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ equal(h3(e12),e21)
| skC7 ),
file('ALG038+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ equal(h3(e11),e22)
| skC8 ),
file('ALG038+1.p',unknown),
[] ).
cnf(99,axiom,
equal(op2(e20,e20),h1(e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(101,axiom,
equal(op2(e22,e22),h3(e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(102,axiom,
equal(op2(e23,e23),h4(e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(103,axiom,
equal(op1(e11,op1(e11,e11)),e12),
file('ALG038+1.p',unknown),
[] ).
cnf(104,axiom,
equal(op2(e21,op2(e21,e21)),e22),
file('ALG038+1.p',unknown),
[] ).
cnf(105,axiom,
~ equal(op1(e11,e10),op1(e10,e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(106,axiom,
~ equal(op1(e12,e10),op1(e10,e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(107,axiom,
~ equal(op1(e13,e10),op1(e10,e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(108,axiom,
~ equal(op1(e12,e10),op1(e11,e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(111,axiom,
~ equal(op1(e11,e11),op1(e10,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(113,axiom,
~ equal(op1(e13,e11),op1(e10,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(114,axiom,
~ equal(op1(e12,e11),op1(e11,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(115,axiom,
~ equal(op1(e13,e11),op1(e11,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(116,axiom,
~ equal(op1(e13,e11),op1(e12,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(118,axiom,
~ equal(op1(e12,e12),op1(e10,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(119,axiom,
~ equal(op1(e13,e12),op1(e10,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(120,axiom,
~ equal(op1(e12,e12),op1(e11,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(121,axiom,
~ equal(op1(e13,e12),op1(e11,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(122,axiom,
~ equal(op1(e13,e12),op1(e12,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(123,axiom,
~ equal(op1(e11,e13),op1(e10,e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(124,axiom,
~ equal(op1(e12,e13),op1(e10,e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(125,axiom,
~ equal(op1(e13,e13),op1(e10,e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(126,axiom,
~ equal(op1(e12,e13),op1(e11,e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(127,axiom,
~ equal(op1(e13,e13),op1(e11,e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(128,axiom,
~ equal(op1(e13,e13),op1(e12,e13)),
file('ALG038+1.p',unknown),
[] ).
cnf(129,axiom,
~ equal(op1(e10,e11),op1(e10,e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(133,axiom,
~ equal(op1(e10,e13),op1(e10,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(134,axiom,
~ equal(op1(e10,e13),op1(e10,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(145,axiom,
~ equal(op1(e12,e13),op1(e12,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(148,axiom,
~ equal(op1(e13,e12),op1(e13,e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(151,axiom,
~ equal(op1(e13,e13),op1(e13,e11)),
file('ALG038+1.p',unknown),
[] ).
cnf(152,axiom,
~ equal(op1(e13,e13),op1(e13,e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(153,axiom,
~ equal(op2(e21,e20),op2(e20,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(154,axiom,
~ equal(op2(e22,e20),op2(e20,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(155,axiom,
~ equal(op2(e23,e20),op2(e20,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(156,axiom,
~ equal(op2(e22,e20),op2(e21,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(158,axiom,
~ equal(op2(e23,e20),op2(e22,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(159,axiom,
~ equal(op2(e21,e21),op2(e20,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(160,axiom,
~ equal(op2(e22,e21),op2(e20,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(161,axiom,
~ equal(op2(e23,e21),op2(e20,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(162,axiom,
~ equal(op2(e22,e21),op2(e21,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(163,axiom,
~ equal(op2(e23,e21),op2(e21,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(164,axiom,
~ equal(op2(e23,e21),op2(e22,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(168,axiom,
~ equal(op2(e22,e22),op2(e21,e22)),
file('ALG038+1.p',unknown),
[] ).
cnf(171,axiom,
~ equal(op2(e21,e23),op2(e20,e23)),
file('ALG038+1.p',unknown),
[] ).
cnf(172,axiom,
~ equal(op2(e22,e23),op2(e20,e23)),
file('ALG038+1.p',unknown),
[] ).
cnf(173,axiom,
~ equal(op2(e23,e23),op2(e20,e23)),
file('ALG038+1.p',unknown),
[] ).
cnf(175,axiom,
~ equal(op2(e23,e23),op2(e21,e23)),
file('ALG038+1.p',unknown),
[] ).
cnf(176,axiom,
~ equal(op2(e23,e23),op2(e22,e23)),
file('ALG038+1.p',unknown),
[] ).
cnf(177,axiom,
~ equal(op2(e20,e21),op2(e20,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(181,axiom,
~ equal(op2(e20,e23),op2(e20,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(182,axiom,
~ equal(op2(e20,e23),op2(e20,e22)),
file('ALG038+1.p',unknown),
[] ).
cnf(191,axiom,
~ equal(op2(e22,e23),op2(e22,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(193,axiom,
~ equal(op2(e22,e23),op2(e22,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(196,axiom,
~ equal(op2(e23,e22),op2(e23,e20)),
file('ALG038+1.p',unknown),
[] ).
cnf(199,axiom,
~ equal(op2(e23,e23),op2(e23,e21)),
file('ALG038+1.p',unknown),
[] ).
cnf(200,axiom,
~ equal(op2(e23,e23),op2(e23,e22)),
file('ALG038+1.p',unknown),
[] ).
cnf(201,axiom,
equal(op2(e20,op2(e20,e20)),h1(e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(203,axiom,
equal(op2(e22,op2(e22,e22)),h3(e12)),
file('ALG038+1.p',unknown),
[] ).
cnf(205,axiom,
equal(op1(e11,op1(e11,op1(e11,e11))),e10),
file('ALG038+1.p',unknown),
[] ).
cnf(206,axiom,
equal(op2(e21,op2(e21,op2(e21,e21))),e20),
file('ALG038+1.p',unknown),
[] ).
cnf(207,axiom,
equal(op2(e20,op2(e20,op2(e20,e20))),h1(e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(209,axiom,
equal(op2(e22,op2(e22,op2(e22,e22))),h3(e10)),
file('ALG038+1.p',unknown),
[] ).
cnf(211,axiom,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
file('ALG038+1.p',unknown),
[] ).
cnf(212,axiom,
( equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2)
| equal(e20,unit2) ),
file('ALG038+1.p',unknown),
[] ).
cnf(221,axiom,
( equal(op2(e20,e22),e23)
| equal(op2(e21,e22),e23)
| equal(op2(e22,e22),e23)
| equal(op2(e23,e22),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(225,axiom,
( equal(op2(e20,e22),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e23,e22),e21) ),
file('ALG038+1.p',unknown),
[] ).
cnf(226,axiom,
( equal(op2(e22,e20),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e22,e23),e21) ),
file('ALG038+1.p',unknown),
[] ).
cnf(228,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e22,e23),e20) ),
file('ALG038+1.p',unknown),
[] ).
cnf(231,axiom,
( equal(op2(e20,e21),e22)
| equal(op2(e21,e21),e22)
| equal(op2(e22,e21),e22)
| equal(op2(e23,e21),e22) ),
file('ALG038+1.p',unknown),
[] ).
cnf(233,axiom,
( equal(op2(e20,e21),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e23,e21),e21) ),
file('ALG038+1.p',unknown),
[] ).
cnf(234,axiom,
( equal(op2(e21,e20),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e23),e21) ),
file('ALG038+1.p',unknown),
[] ).
cnf(238,axiom,
( equal(op2(e20,e20),e23)
| equal(op2(e20,e21),e23)
| equal(op2(e20,e22),e23)
| equal(op2(e20,e23),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(240,axiom,
( equal(op2(e20,e20),e22)
| equal(op2(e20,e21),e22)
| equal(op2(e20,e22),e22)
| equal(op2(e20,e23),e22) ),
file('ALG038+1.p',unknown),
[] ).
cnf(245,axiom,
( equal(op2(e23,e23),e20)
| equal(op2(e23,e23),e21)
| equal(op2(e23,e23),e22)
| equal(op2(e23,e23),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(247,axiom,
( equal(op2(e23,e21),e20)
| equal(op2(e23,e21),e21)
| equal(op2(e23,e21),e22)
| equal(op2(e23,e21),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(251,axiom,
( equal(op2(e22,e21),e20)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(252,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e20),e21)
| equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(257,axiom,
( equal(op2(e20,e23),e20)
| equal(op2(e20,e23),e21)
| equal(op2(e20,e23),e22)
| equal(op2(e20,e23),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(259,axiom,
( equal(op2(e20,e21),e20)
| equal(op2(e20,e21),e21)
| equal(op2(e20,e21),e22)
| equal(op2(e20,e21),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(260,axiom,
( equal(op2(e20,e20),e20)
| equal(op2(e20,e20),e21)
| equal(op2(e20,e20),e22)
| equal(op2(e20,e20),e23) ),
file('ALG038+1.p',unknown),
[] ).
cnf(270,axiom,
( equal(op1(e12,e10),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e12,e13),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(274,axiom,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e12,e13),e11) ),
file('ALG038+1.p',unknown),
[] ).
cnf(276,axiom,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e12,e13),e10) ),
file('ALG038+1.p',unknown),
[] ).
cnf(281,axiom,
( equal(op1(e10,e11),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e13,e11),e11) ),
file('ALG038+1.p',unknown),
[] ).
cnf(282,axiom,
( equal(op1(e11,e10),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e13),e11) ),
file('ALG038+1.p',unknown),
[] ).
cnf(285,axiom,
( equal(op1(e10,e10),e13)
| equal(op1(e11,e10),e13)
| equal(op1(e12,e10),e13)
| equal(op1(e13,e10),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(288,axiom,
( equal(op1(e10,e10),e12)
| equal(op1(e10,e11),e12)
| equal(op1(e10,e12),e12)
| equal(op1(e10,e13),e12) ),
file('ALG038+1.p',unknown),
[] ).
cnf(293,axiom,
( equal(op1(e13,e13),e10)
| equal(op1(e13,e13),e11)
| equal(op1(e13,e13),e12)
| equal(op1(e13,e13),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(294,axiom,
( equal(op1(e13,e12),e10)
| equal(op1(e13,e12),e11)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(295,axiom,
( equal(op1(e13,e11),e10)
| equal(op1(e13,e11),e11)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e11),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(297,axiom,
( equal(op1(e12,e13),e10)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),e12)
| equal(op1(e12,e13),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(298,axiom,
( equal(op1(e12,e12),e10)
| equal(op1(e12,e12),e11)
| equal(op1(e12,e12),e12)
| equal(op1(e12,e12),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(299,axiom,
( equal(op1(e12,e11),e10)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e11),e12)
| equal(op1(e12,e11),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(305,axiom,
( equal(op1(e10,e13),e10)
| equal(op1(e10,e13),e11)
| equal(op1(e10,e13),e12)
| equal(op1(e10,e13),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(307,axiom,
( equal(op1(e10,e11),e10)
| equal(op1(e10,e11),e11)
| equal(op1(e10,e11),e12)
| equal(op1(e10,e11),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(308,axiom,
( equal(op1(e10,e10),e10)
| equal(op1(e10,e10),e11)
| equal(op1(e10,e10),e12)
| equal(op1(e10,e10),e13) ),
file('ALG038+1.p',unknown),
[] ).
cnf(321,axiom,
( ~ equal(h3(e13),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)))
| ~ skC6
| ~ skC7
| ~ skC8 ),
file('ALG038+1.p',unknown),
[] ).
cnf(337,plain,
( ~ equal(e22,e22)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[31,84]),
[iquote('0:Rew:31.0,84.0')] ).
cnf(338,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[337]),
[iquote('0:Obv:337.0')] ).
cnf(352,plain,
equal(op2(e21,e23),e22),
inference(rew,[status(thm),theory(equality)],[50,104]),
[iquote('0:Rew:50.0,104.0')] ).
cnf(353,plain,
equal(op1(e11,e13),e12),
inference(rew,[status(thm),theory(equality)],[49,103]),
[iquote('0:Rew:49.0,103.0')] ).
cnf(355,plain,
equal(op2(e22,h3(e13)),h3(e12)),
inference(rew,[status(thm),theory(equality)],[101,203]),
[iquote('0:Rew:101.0,203.0')] ).
cnf(360,plain,
equal(op2(e20,h1(e13)),h1(e12)),
inference(rew,[status(thm),theory(equality)],[99,201]),
[iquote('0:Rew:99.0,201.0')] ).
cnf(361,plain,
~ equal(op2(e23,e22),h4(e13)),
inference(rew,[status(thm),theory(equality)],[102,200]),
[iquote('0:Rew:102.0,200.0')] ).
cnf(362,plain,
~ equal(op2(e23,e21),h4(e13)),
inference(rew,[status(thm),theory(equality)],[102,199]),
[iquote('0:Rew:102.0,199.0')] ).
cnf(374,plain,
~ equal(op2(e20,e21),h1(e13)),
inference(rew,[status(thm),theory(equality)],[99,177]),
[iquote('0:Rew:99.0,177.0')] ).
cnf(375,plain,
~ equal(op2(e22,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[102,176]),
[iquote('0:Rew:102.0,176.0')] ).
cnf(376,plain,
~ equal(h4(e13),e22),
inference(rew,[status(thm),theory(equality)],[102,175,352]),
[iquote('0:Rew:102.0,175.0,352.0,175.0')] ).
cnf(378,plain,
~ equal(op2(e20,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[102,173]),
[iquote('0:Rew:102.0,173.0')] ).
cnf(379,plain,
~ equal(op2(e20,e23),e22),
inference(rew,[status(thm),theory(equality)],[352,171]),
[iquote('0:Rew:352.0,171.0')] ).
cnf(381,plain,
~ equal(op2(e21,e22),h3(e13)),
inference(rew,[status(thm),theory(equality)],[101,168]),
[iquote('0:Rew:101.0,168.0')] ).
cnf(383,plain,
~ equal(op2(e23,e21),e23),
inference(rew,[status(thm),theory(equality)],[50,163]),
[iquote('0:Rew:50.0,163.0')] ).
cnf(384,plain,
~ equal(op2(e22,e21),e23),
inference(rew,[status(thm),theory(equality)],[50,162]),
[iquote('0:Rew:50.0,162.0')] ).
cnf(385,plain,
~ equal(op2(e20,e21),e23),
inference(rew,[status(thm),theory(equality)],[50,159]),
[iquote('0:Rew:50.0,159.0')] ).
cnf(386,plain,
~ equal(op2(e23,e20),h1(e13)),
inference(rew,[status(thm),theory(equality)],[99,155]),
[iquote('0:Rew:99.0,155.0')] ).
cnf(387,plain,
~ equal(op2(e22,e20),h1(e13)),
inference(rew,[status(thm),theory(equality)],[99,154]),
[iquote('0:Rew:99.0,154.0')] ).
cnf(388,plain,
~ equal(op2(e21,e20),h1(e13)),
inference(rew,[status(thm),theory(equality)],[99,153]),
[iquote('0:Rew:99.0,153.0')] ).
cnf(394,plain,
~ equal(op1(e13,e13),e12),
inference(rew,[status(thm),theory(equality)],[353,127]),
[iquote('0:Rew:353.0,127.0')] ).
cnf(395,plain,
~ equal(op1(e12,e13),e12),
inference(rew,[status(thm),theory(equality)],[353,126]),
[iquote('0:Rew:353.0,126.0')] ).
cnf(396,plain,
~ equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[353,123]),
[iquote('0:Rew:353.0,123.0')] ).
cnf(397,plain,
~ equal(op1(e13,e11),e13),
inference(rew,[status(thm),theory(equality)],[49,115]),
[iquote('0:Rew:49.0,115.0')] ).
cnf(398,plain,
~ equal(op1(e12,e11),e13),
inference(rew,[status(thm),theory(equality)],[49,114]),
[iquote('0:Rew:49.0,114.0')] ).
cnf(399,plain,
~ equal(op1(e10,e11),e13),
inference(rew,[status(thm),theory(equality)],[49,111]),
[iquote('0:Rew:49.0,111.0')] ).
cnf(400,plain,
equal(op2(e21,e22),e20),
inference(rew,[status(thm),theory(equality)],[352,206,50]),
[iquote('0:Rew:352.0,206.0,50.0,206.0')] ).
cnf(405,plain,
~ equal(h3(e13),e20),
inference(rew,[status(thm),theory(equality)],[400,381]),
[iquote('0:Rew:400.0,381.0')] ).
cnf(407,plain,
equal(op1(e11,e12),e10),
inference(rew,[status(thm),theory(equality)],[353,205,49]),
[iquote('0:Rew:353.0,205.0,49.0,205.0')] ).
cnf(411,plain,
~ equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[407,121]),
[iquote('0:Rew:407.0,121.0')] ).
cnf(412,plain,
~ equal(op1(e12,e12),e10),
inference(rew,[status(thm),theory(equality)],[407,120]),
[iquote('0:Rew:407.0,120.0')] ).
cnf(415,plain,
equal(op2(e22,h3(e12)),h3(e10)),
inference(rew,[status(thm),theory(equality)],[355,209,101]),
[iquote('0:Rew:355.0,209.0,101.0,209.0')] ).
cnf(419,plain,
equal(op2(e20,h1(e12)),h1(e10)),
inference(rew,[status(thm),theory(equality)],[360,207,99]),
[iquote('0:Rew:360.0,207.0,99.0,207.0')] ).
cnf(433,plain,
( equal(op2(e20,e22),e23)
| equal(e23,e20)
| equal(h3(e13),e23)
| equal(op2(e23,e22),e23) ),
inference(rew,[status(thm),theory(equality)],[101,221,400]),
[iquote('0:Rew:101.0,221.2,400.0,221.1')] ).
cnf(434,plain,
( equal(h3(e13),e23)
| equal(op2(e23,e22),e23)
| equal(op2(e20,e22),e23) ),
inference(mrr,[status(thm)],[433,9]),
[iquote('0:MRR:433.1,9.0')] ).
cnf(441,plain,
( equal(op2(e20,e22),e21)
| equal(e21,e20)
| equal(h3(e13),e21)
| equal(op2(e23,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[101,225,400]),
[iquote('0:Rew:101.0,225.2,400.0,225.1')] ).
cnf(442,plain,
( equal(h3(e13),e21)
| equal(op2(e23,e22),e21)
| equal(op2(e20,e22),e21) ),
inference(mrr,[status(thm)],[441,7]),
[iquote('0:MRR:441.1,7.0')] ).
cnf(443,plain,
( equal(op2(e22,e20),e21)
| equal(op2(e22,e21),e21)
| equal(h3(e13),e21)
| equal(op2(e22,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[101,226]),
[iquote('0:Rew:101.0,226.2')] ).
cnf(444,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(h3(e13),e20)
| equal(op2(e22,e23),e20) ),
inference(rew,[status(thm),theory(equality)],[101,228]),
[iquote('0:Rew:101.0,228.2')] ).
cnf(445,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e23),e20)
| equal(op2(e22,e21),e20) ),
inference(mrr,[status(thm)],[444,405]),
[iquote('0:MRR:444.2,405.0')] ).
cnf(446,plain,
( equal(op2(e20,e21),e22)
| equal(e23,e22)
| equal(op2(e22,e21),e22)
| equal(op2(e23,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[50,231]),
[iquote('0:Rew:50.0,231.1')] ).
cnf(447,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e23,e21),e22)
| equal(op2(e20,e21),e22) ),
inference(mrr,[status(thm)],[446,12]),
[iquote('0:MRR:446.1,12.0')] ).
cnf(448,plain,
( equal(op2(e20,e21),e21)
| equal(e23,e21)
| equal(op2(e22,e21),e21)
| equal(op2(e23,e21),e21) ),
inference(rew,[status(thm),theory(equality)],[50,233]),
[iquote('0:Rew:50.0,233.1')] ).
cnf(449,plain,
( equal(op2(e23,e21),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e20,e21),e21) ),
inference(mrr,[status(thm)],[448,11]),
[iquote('0:MRR:448.1,11.0')] ).
cnf(450,plain,
( equal(op2(e21,e20),e21)
| equal(e23,e21)
| equal(e21,e20)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[352,234,400,50]),
[iquote('0:Rew:352.0,234.3,400.0,234.2,50.0,234.1')] ).
cnf(451,plain,
equal(op2(e21,e20),e21),
inference(mrr,[status(thm)],[450,11,7,10]),
[iquote('0:MRR:450.1,450.2,450.3,11.0,7.0,10.0')] ).
cnf(455,plain,
~ equal(op2(e22,e20),e21),
inference(rew,[status(thm),theory(equality)],[451,156]),
[iquote('0:Rew:451.0,156.0')] ).
cnf(456,plain,
~ equal(h1(e13),e21),
inference(rew,[status(thm),theory(equality)],[451,388]),
[iquote('0:Rew:451.0,388.0')] ).
cnf(459,plain,
( equal(h3(e13),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e23),e21) ),
inference(mrr,[status(thm)],[443,455]),
[iquote('0:MRR:443.0,455.0')] ).
cnf(464,plain,
( equal(h1(e13),e23)
| equal(op2(e20,e21),e23)
| equal(op2(e20,e22),e23)
| equal(op2(e20,e23),e23) ),
inference(rew,[status(thm),theory(equality)],[99,238]),
[iquote('0:Rew:99.0,238.0')] ).
cnf(465,plain,
( equal(h1(e13),e23)
| equal(op2(e20,e23),e23)
| equal(op2(e20,e22),e23) ),
inference(mrr,[status(thm)],[464,385]),
[iquote('0:MRR:464.1,385.0')] ).
cnf(468,plain,
( equal(h1(e13),e22)
| equal(op2(e20,e21),e22)
| equal(op2(e20,e22),e22)
| equal(op2(e20,e23),e22) ),
inference(rew,[status(thm),theory(equality)],[99,240]),
[iquote('0:Rew:99.0,240.0')] ).
cnf(469,plain,
( equal(h1(e13),e22)
| equal(op2(e20,e22),e22)
| equal(op2(e20,e21),e22) ),
inference(mrr,[status(thm)],[468,379]),
[iquote('0:MRR:468.3,379.0')] ).
cnf(476,plain,
( equal(h4(e13),e20)
| equal(h4(e13),e21)
| equal(h4(e13),e22)
| equal(h4(e13),e23) ),
inference(rew,[status(thm),theory(equality)],[102,245]),
[iquote('0:Rew:102.0,245.3,102.0,245.2,102.0,245.1,102.0,245.0')] ).
cnf(477,plain,
( equal(h4(e13),e23)
| equal(h4(e13),e21)
| equal(h4(e13),e20) ),
inference(mrr,[status(thm)],[476,376]),
[iquote('0:MRR:476.2,376.0')] ).
cnf(479,plain,
( equal(op2(e23,e21),e21)
| equal(op2(e23,e21),e22)
| equal(op2(e23,e21),e20) ),
inference(mrr,[status(thm)],[247,383]),
[iquote('0:MRR:247.3,383.0')] ).
cnf(484,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e20) ),
inference(mrr,[status(thm)],[251,384]),
[iquote('0:MRR:251.3,384.0')] ).
cnf(485,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e20)
| equal(op2(e22,e20),e23) ),
inference(mrr,[status(thm)],[252,455]),
[iquote('0:MRR:252.1,455.0')] ).
cnf(486,plain,
( equal(op2(e20,e23),e23)
| equal(op2(e20,e23),e20)
| equal(op2(e20,e23),e21) ),
inference(mrr,[status(thm)],[257,379]),
[iquote('0:MRR:257.2,379.0')] ).
cnf(488,plain,
( equal(op2(e20,e21),e21)
| equal(op2(e20,e21),e20)
| equal(op2(e20,e21),e22) ),
inference(mrr,[status(thm)],[259,385]),
[iquote('0:MRR:259.3,385.0')] ).
cnf(489,plain,
( equal(h1(e13),e20)
| equal(h1(e13),e21)
| equal(h1(e13),e22)
| equal(h1(e13),e23) ),
inference(rew,[status(thm),theory(equality)],[99,260]),
[iquote('0:Rew:99.0,260.3,99.0,260.2,99.0,260.1,99.0,260.0')] ).
cnf(490,plain,
( equal(h1(e13),e23)
| equal(h1(e13),e22)
| equal(h1(e13),e20) ),
inference(mrr,[status(thm)],[489,456]),
[iquote('0:MRR:489.1,456.0')] ).
cnf(502,plain,
( equal(op1(e12,e13),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e12,e10),e13) ),
inference(mrr,[status(thm)],[270,398]),
[iquote('0:MRR:270.1,398.0')] ).
cnf(508,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e13),e10)
| equal(op1(e12,e11),e10) ),
inference(mrr,[status(thm)],[276,412]),
[iquote('0:MRR:276.2,412.0')] ).
cnf(511,plain,
( equal(op1(e10,e11),e11)
| equal(e13,e11)
| equal(op1(e12,e11),e11)
| equal(op1(e13,e11),e11) ),
inference(rew,[status(thm),theory(equality)],[49,281]),
[iquote('0:Rew:49.0,281.1')] ).
cnf(512,plain,
( equal(op1(e13,e11),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e10,e11),e11) ),
inference(mrr,[status(thm)],[511,5]),
[iquote('0:MRR:511.1,5.0')] ).
cnf(513,plain,
( equal(op1(e11,e10),e11)
| equal(e13,e11)
| equal(e11,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[353,282,407,49]),
[iquote('0:Rew:353.0,282.3,407.0,282.2,49.0,282.1')] ).
cnf(514,plain,
equal(op1(e11,e10),e11),
inference(mrr,[status(thm)],[513,5,1,4]),
[iquote('0:MRR:513.1,513.2,513.3,5.0,1.0,4.0')] ).
cnf(518,plain,
~ equal(op1(e12,e10),e11),
inference(rew,[status(thm),theory(equality)],[514,108]),
[iquote('0:Rew:514.0,108.0')] ).
cnf(519,plain,
~ equal(op1(e10,e10),e11),
inference(rew,[status(thm),theory(equality)],[514,105]),
[iquote('0:Rew:514.0,105.0')] ).
cnf(522,plain,
( equal(op1(e12,e12),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e13),e11) ),
inference(mrr,[status(thm)],[274,518]),
[iquote('0:MRR:274.0,518.0')] ).
cnf(525,plain,
( equal(op1(e10,e10),e13)
| equal(e13,e11)
| equal(op1(e12,e10),e13)
| equal(op1(e13,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[514,285]),
[iquote('0:Rew:514.0,285.1')] ).
cnf(526,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e10,e10),e13)
| equal(op1(e12,e10),e13) ),
inference(mrr,[status(thm)],[525,5]),
[iquote('0:MRR:525.1,5.0')] ).
cnf(530,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e10),e12)
| equal(op1(e10,e11),e12) ),
inference(mrr,[status(thm)],[288,396]),
[iquote('0:MRR:288.3,396.0')] ).
cnf(535,plain,
( equal(op1(e13,e13),e13)
| equal(op1(e13,e13),e11)
| equal(op1(e13,e13),e10) ),
inference(mrr,[status(thm)],[293,394]),
[iquote('0:MRR:293.2,394.0')] ).
cnf(536,plain,
( equal(op1(e13,e12),e13)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e11) ),
inference(mrr,[status(thm)],[294,411]),
[iquote('0:MRR:294.0,411.0')] ).
cnf(537,plain,
( equal(op1(e13,e11),e11)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e11),e10) ),
inference(mrr,[status(thm)],[295,397]),
[iquote('0:MRR:295.3,397.0')] ).
cnf(539,plain,
( equal(op1(e12,e13),e13)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[297,395]),
[iquote('0:MRR:297.2,395.0')] ).
cnf(540,plain,
( equal(op1(e12,e12),e12)
| equal(op1(e12,e12),e13)
| equal(op1(e12,e12),e11) ),
inference(mrr,[status(thm)],[298,412]),
[iquote('0:MRR:298.0,412.0')] ).
cnf(541,plain,
( equal(op1(e12,e11),e12)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e11),e10) ),
inference(mrr,[status(thm)],[299,398]),
[iquote('0:MRR:299.3,398.0')] ).
cnf(543,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e10,e13),e10)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[305,396]),
[iquote('0:MRR:305.2,396.0')] ).
cnf(545,plain,
( equal(op1(e10,e11),e11)
| equal(op1(e10,e11),e10)
| equal(op1(e10,e11),e12) ),
inference(mrr,[status(thm)],[307,399]),
[iquote('0:MRR:307.3,399.0')] ).
cnf(546,plain,
( equal(op1(e10,e10),e10)
| equal(op1(e10,e10),e13)
| equal(op1(e10,e10),e12) ),
inference(mrr,[status(thm)],[308,519]),
[iquote('0:MRR:308.1,519.0')] ).
cnf(562,plain,
( ~ equal(h3(e13),e23)
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e10),e22),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(e22,h3(e10)),e22)
| ~ equal(h3(e13),h3(e13))
| ~ equal(h3(e10),h3(e10))
| ~ equal(h3(e12),h3(e12))
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e12),e22),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),e22),h3(op1(e13,e11)))
| ~ equal(op2(h3(e13),h3(e12)),h3(op1(e13,e12)))
| ~ equal(op2(h3(e13),h3(e13)),h3(op1(e13,e13)))
| ~ skC6
| ~ skC7
| ~ skC8 ),
inference(rew,[status(thm),theory(equality)],[31,321,355,353,415,407,101,49,514]),
[iquote('0:Rew:31.0,321.14,31.0,321.10,355.0,321.8,31.0,321.8,353.0,321.8,415.0,321.7,31.0,321.7,407.0,321.7,101.0,321.6,31.0,321.6,49.0,321.6,31.0,321.5,514.0,321.5,31.0,321.2')] ).
cnf(563,plain,
( ~ equal(h3(e13),e23)
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e10),e22),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(e22,h3(e10)),e22)
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e12),e22),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),e22),h3(op1(e13,e11)))
| ~ equal(op2(h3(e13),h3(e12)),h3(op1(e13,e12)))
| ~ equal(op2(h3(e13),h3(e13)),h3(op1(e13,e13)))
| ~ skC6
| ~ skC7
| ~ skC8 ),
inference(obv,[status(thm),theory(equality)],[562]),
[iquote('0:Obv:562.8')] ).
cnf(564,plain,
( ~ skC7
| ~ skC6
| ~ equal(h3(e13),e23)
| ~ equal(op2(e22,h3(e10)),e22)
| ~ equal(op2(h3(e13),e22),h3(op1(e13,e11)))
| ~ equal(op2(h3(e12),e22),h3(op1(e12,e11)))
| ~ equal(op2(h3(e10),e22),h3(op1(e10,e11)))
| ~ equal(op2(h3(e13),h3(e13)),h3(op1(e13,e13)))
| ~ equal(op2(h3(e12),h3(e12)),h3(op1(e12,e12)))
| ~ equal(op2(h3(e10),h3(e10)),h3(op1(e10,e10)))
| ~ equal(op2(h3(e13),h3(e12)),h3(op1(e13,e12)))
| ~ equal(op2(h3(e13),h3(e10)),h3(op1(e13,e10)))
| ~ equal(op2(h3(e12),h3(e13)),h3(op1(e12,e13)))
| ~ equal(op2(h3(e12),h3(e10)),h3(op1(e12,e10)))
| ~ equal(op2(h3(e10),h3(e13)),h3(op1(e10,e13)))
| ~ equal(op2(h3(e10),h3(e12)),h3(op1(e10,e12))) ),
inference(mrr,[status(thm)],[563,338]),
[iquote('0:MRR:563.16,338.0')] ).
cnf(593,plain,
equal(e13,unit1),
inference(spt,[spt(split,[position(s1)])],[211]),
[iquote('1:Spt:211.0')] ).
cnf(672,plain,
~ equal(op1(e12,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[593,116]),
[iquote('1:Rew:593.0,116.0')] ).
cnf(673,plain,
~ equal(op1(e10,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[593,113]),
[iquote('1:Rew:593.0,113.0')] ).
cnf(682,plain,
~ equal(op1(e10,e10),op1(unit1,e10)),
inference(rew,[status(thm),theory(equality)],[593,107]),
[iquote('1:Rew:593.0,107.0')] ).
cnf(684,plain,
( equal(op1(e12,e12),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e12,unit1),e11) ),
inference(rew,[status(thm),theory(equality)],[593,522]),
[iquote('1:Rew:593.0,522.2')] ).
cnf(688,plain,
~ equal(op1(e12,e11),op1(e12,unit1)),
inference(rew,[status(thm),theory(equality)],[593,145]),
[iquote('1:Rew:593.0,145.0')] ).
cnf(696,plain,
~ equal(op1(e10,e11),op1(e10,unit1)),
inference(rew,[status(thm),theory(equality)],[593,133]),
[iquote('1:Rew:593.0,133.0')] ).
cnf(702,plain,
( equal(op1(e12,unit1),unit1)
| equal(op1(e12,e12),e13)
| equal(op1(e12,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[593,502]),
[iquote('1:Rew:593.0,502.0')] ).
cnf(710,plain,
( equal(op1(e10,e10),e10)
| equal(op1(e10,e10),unit1)
| equal(op1(e10,e10),e12) ),
inference(rew,[status(thm),theory(equality)],[593,546]),
[iquote('1:Rew:593.0,546.1')] ).
cnf(715,plain,
~ equal(e12,unit1),
inference(rew,[status(thm),theory(equality)],[593,6]),
[iquote('1:Rew:593.0,6.0')] ).
cnf(716,plain,
~ equal(e11,unit1),
inference(rew,[status(thm),theory(equality)],[593,5]),
[iquote('1:Rew:593.0,5.0')] ).
cnf(742,plain,
~ equal(op1(e12,e11),e11),
inference(rew,[status(thm),theory(equality)],[35,672]),
[iquote('1:Rew:35.0,672.0')] ).
cnf(743,plain,
( equal(op1(e12,e11),e12)
| equal(op1(e12,e11),e10) ),
inference(mrr,[status(thm)],[541,742]),
[iquote('1:MRR:541.1,742.0')] ).
cnf(744,plain,
~ equal(op1(e10,e11),e11),
inference(rew,[status(thm),theory(equality)],[35,673]),
[iquote('1:Rew:35.0,673.0')] ).
cnf(745,plain,
( equal(op1(e10,e11),e10)
| equal(op1(e10,e11),e12) ),
inference(mrr,[status(thm)],[545,744]),
[iquote('1:MRR:545.0,744.0')] ).
cnf(750,plain,
~ equal(op1(e10,e10),e10),
inference(rew,[status(thm),theory(equality)],[33,682]),
[iquote('1:Rew:33.0,682.0')] ).
cnf(752,plain,
~ equal(op1(e12,e11),e12),
inference(rew,[status(thm),theory(equality)],[38,688]),
[iquote('1:Rew:38.0,688.0')] ).
cnf(756,plain,
~ equal(op1(e10,e11),e10),
inference(rew,[status(thm),theory(equality)],[34,696]),
[iquote('1:Rew:34.0,696.0')] ).
cnf(761,plain,
equal(op1(e12,e11),e10),
inference(mrr,[status(thm)],[743,752]),
[iquote('1:MRR:743.0,752.0')] ).
cnf(768,plain,
equal(op1(e10,e11),e12),
inference(mrr,[status(thm)],[745,756]),
[iquote('1:MRR:745.0,756.0')] ).
cnf(770,plain,
~ equal(op1(e10,e10),e12),
inference(rew,[status(thm),theory(equality)],[768,129]),
[iquote('1:Rew:768.0,129.0')] ).
cnf(792,plain,
( equal(op1(e12,e12),e11)
| equal(e11,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[38,684,761]),
[iquote('1:Rew:38.0,684.2,761.0,684.1')] ).
cnf(793,plain,
equal(op1(e12,e12),e11),
inference(mrr,[status(thm)],[792,1,4]),
[iquote('1:MRR:792.1,792.2,1.0,4.0')] ).
cnf(804,plain,
( equal(e12,unit1)
| equal(e11,unit1)
| equal(op1(e12,e10),unit1) ),
inference(rew,[status(thm),theory(equality)],[593,702,793,38]),
[iquote('1:Rew:593.0,702.2,793.0,702.1,593.0,702.1,38.0,702.0')] ).
cnf(805,plain,
equal(op1(e12,e10),unit1),
inference(mrr,[status(thm)],[804,715,716]),
[iquote('1:MRR:804.0,804.1,715.0,716.0')] ).
cnf(807,plain,
~ equal(op1(e10,e10),unit1),
inference(rew,[status(thm),theory(equality)],[805,106]),
[iquote('1:Rew:805.0,106.0')] ).
cnf(817,plain,
$false,
inference(mrr,[status(thm)],[710,750,807,770]),
[iquote('1:MRR:710.0,710.1,710.2,750.0,807.0,770.0')] ).
cnf(828,plain,
~ equal(e13,unit1),
inference(spt,[spt(split,[position(sa)])],[817,593]),
[iquote('1:Spt:817.0,211.0,593.0')] ).
cnf(829,plain,
( equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2)])],[211]),
[iquote('1:Spt:817.0,211.1,211.2,211.3')] ).
cnf(830,plain,
equal(e12,unit1),
inference(spt,[spt(split,[position(s2s1)])],[829]),
[iquote('2:Spt:829.0')] ).
cnf(851,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[830,2]),
[iquote('2:Rew:830.0,2.0')] ).
cnf(859,plain,
~ equal(op1(e13,e11),op1(unit1,e11)),
inference(rew,[status(thm),theory(equality)],[830,116]),
[iquote('2:Rew:830.0,116.0')] ).
cnf(873,plain,
~ equal(op1(e10,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[830,124]),
[iquote('2:Rew:830.0,124.0')] ).
cnf(874,plain,
~ equal(op1(e13,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[830,128]),
[iquote('2:Rew:830.0,128.0')] ).
cnf(884,plain,
~ equal(op1(e13,e10),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[830,148]),
[iquote('2:Rew:830.0,148.0')] ).
cnf(906,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e10,e10),e13)
| equal(op1(unit1,e10),e13) ),
inference(rew,[status(thm),theory(equality)],[830,526]),
[iquote('2:Rew:830.0,526.2')] ).
cnf(908,plain,
~ equal(op1(e10,e13),op1(e10,unit1)),
inference(rew,[status(thm),theory(equality)],[830,134]),
[iquote('2:Rew:830.0,134.0')] ).
cnf(916,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e10),unit1)
| equal(op1(e10,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[830,530]),
[iquote('2:Rew:830.0,530.1')] ).
cnf(924,plain,
( equal(op1(e13,e11),e11)
| equal(op1(e13,e11),unit1)
| equal(op1(e13,e11),e10) ),
inference(rew,[status(thm),theory(equality)],[830,537]),
[iquote('2:Rew:830.0,537.1')] ).
cnf(935,plain,
~ equal(op1(e13,e11),e11),
inference(rew,[status(thm),theory(equality)],[35,859]),
[iquote('2:Rew:35.0,859.0')] ).
cnf(937,plain,
~ equal(op1(e10,e13),e13),
inference(rew,[status(thm),theory(equality)],[39,873]),
[iquote('2:Rew:39.0,873.0')] ).
cnf(938,plain,
( equal(op1(e10,e13),e10)
| equal(op1(e10,e13),e11) ),
inference(mrr,[status(thm)],[543,937]),
[iquote('2:MRR:543.0,937.0')] ).
cnf(939,plain,
~ equal(op1(e13,e13),e13),
inference(rew,[status(thm),theory(equality)],[39,874]),
[iquote('2:Rew:39.0,874.0')] ).
cnf(940,plain,
( equal(op1(e13,e13),e11)
| equal(op1(e13,e13),e10) ),
inference(mrr,[status(thm)],[535,939]),
[iquote('2:MRR:535.0,939.0')] ).
cnf(942,plain,
~ equal(op1(e13,e10),e13),
inference(rew,[status(thm),theory(equality)],[40,884]),
[iquote('2:Rew:40.0,884.0')] ).
cnf(955,plain,
~ equal(op1(e10,e13),e10),
inference(rew,[status(thm),theory(equality)],[34,908]),
[iquote('2:Rew:34.0,908.0')] ).
cnf(960,plain,
equal(op1(e10,e13),e11),
inference(mrr,[status(thm)],[938,955]),
[iquote('2:MRR:938.0,955.0')] ).
cnf(961,plain,
~ equal(op1(e13,e13),e11),
inference(rew,[status(thm),theory(equality)],[960,125]),
[iquote('2:Rew:960.0,125.0')] ).
cnf(967,plain,
equal(op1(e13,e13),e10),
inference(mrr,[status(thm)],[940,961]),
[iquote('2:MRR:940.0,961.0')] ).
cnf(969,plain,
~ equal(op1(e13,e11),e10),
inference(rew,[status(thm),theory(equality)],[967,151]),
[iquote('2:Rew:967.0,151.0')] ).
cnf(984,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e10,e10),e13)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[33,906]),
[iquote('2:Rew:33.0,906.2')] ).
cnf(985,plain,
equal(op1(e10,e10),e13),
inference(mrr,[status(thm)],[984,942,3]),
[iquote('2:MRR:984.0,984.2,942.0,3.0')] ).
cnf(992,plain,
( equal(e10,unit1)
| equal(e13,unit1)
| equal(op1(e10,e11),unit1) ),
inference(rew,[status(thm),theory(equality)],[830,916,985,34]),
[iquote('2:Rew:830.0,916.2,985.0,916.1,34.0,916.0,830.0,916.0')] ).
cnf(993,plain,
equal(op1(e10,e11),unit1),
inference(mrr,[status(thm)],[992,851,828]),
[iquote('2:MRR:992.0,992.1,851.0,828.0')] ).
cnf(995,plain,
~ equal(op1(e13,e11),unit1),
inference(rew,[status(thm),theory(equality)],[993,113]),
[iquote('2:Rew:993.0,113.0')] ).
cnf(1006,plain,
$false,
inference(mrr,[status(thm)],[924,935,995,969]),
[iquote('2:MRR:924.0,924.1,924.2,935.0,995.0,969.0')] ).
cnf(1017,plain,
~ equal(e12,unit1),
inference(spt,[spt(split,[position(s2sa)])],[1006,830]),
[iquote('2:Spt:1006.0,829.0,830.0')] ).
cnf(1018,plain,
( equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2s2)])],[829]),
[iquote('2:Spt:1006.0,829.1,829.2')] ).
cnf(1019,plain,
equal(e11,unit1),
inference(spt,[spt(split,[position(s2s2s1)])],[1018]),
[iquote('3:Spt:1018.0')] ).
cnf(1028,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[1019,1]),
[iquote('3:Rew:1019.0,1.0')] ).
cnf(1074,plain,
( equal(op1(e13,e11),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e10,unit1),unit1) ),
inference(rew,[status(thm),theory(equality)],[1019,512]),
[iquote('3:Rew:1019.0,512.2')] ).
cnf(1134,plain,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e10,unit1) ),
inference(rew,[status(thm),theory(equality)],[34,1074,38,1019,40]),
[iquote('3:Rew:34.0,1074.2,38.0,1074.1,1019.0,1074.1,40.0,1074.0,1019.0,1074.0')] ).
cnf(1135,plain,
$false,
inference(mrr,[status(thm)],[1134,828,1017,1028]),
[iquote('3:MRR:1134.0,1134.1,1134.2,828.0,1017.0,1028.0')] ).
cnf(1156,plain,
~ equal(e11,unit1),
inference(spt,[spt(split,[position(s2s2sa)])],[1135,1019]),
[iquote('3:Spt:1135.0,1018.0,1019.0')] ).
cnf(1157,plain,
equal(e10,unit1),
inference(spt,[spt(split,[position(s2s2s2)])],[1018]),
[iquote('3:Spt:1135.0,1018.1')] ).
cnf(1163,plain,
( ~ equal(h3(unit1),e20)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[1157,75]),
[iquote('3:Rew:1157.0,75.0')] ).
cnf(1164,plain,
equal(op2(e22,h3(e12)),h3(unit1)),
inference(rew,[status(thm),theory(equality)],[1157,415]),
[iquote('3:Rew:1157.0,415.0')] ).
cnf(1167,plain,
equal(op2(e20,h1(e12)),h1(unit1)),
inference(rew,[status(thm),theory(equality)],[1157,419]),
[iquote('3:Rew:1157.0,419.0')] ).
cnf(1173,plain,
equal(op1(unit1,unit1),unit1),
inference(rew,[status(thm),theory(equality)],[1157,34]),
[iquote('3:Rew:1157.0,34.0')] ).
cnf(1177,plain,
~ equal(op1(e12,e12),op1(unit1,e12)),
inference(rew,[status(thm),theory(equality)],[1157,118]),
[iquote('3:Rew:1157.0,118.0')] ).
cnf(1178,plain,
~ equal(op1(e13,e12),op1(unit1,e12)),
inference(rew,[status(thm),theory(equality)],[1157,119]),
[iquote('3:Rew:1157.0,119.0')] ).
cnf(1188,plain,
~ equal(op1(e12,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[1157,124]),
[iquote('3:Rew:1157.0,124.0')] ).
cnf(1189,plain,
~ equal(op1(e13,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[1157,125]),
[iquote('3:Rew:1157.0,125.0')] ).
cnf(1194,plain,
~ equal(op1(e13,e12),op1(e13,unit1)),
inference(rew,[status(thm),theory(equality)],[1157,148]),
[iquote('3:Rew:1157.0,148.0')] ).
cnf(1197,plain,
~ equal(e11,unit1),
inference(rew,[status(thm),theory(equality)],[1157,1]),
[iquote('3:Rew:1157.0,1.0')] ).
cnf(1206,plain,
~ equal(op1(e13,e11),e11),
inference(rew,[status(thm),theory(equality)],[35,113,1157]),
[iquote('3:Rew:35.0,113.0,1157.0,113.0')] ).
cnf(1213,plain,
~ equal(op1(e12,e12),e12),
inference(rew,[status(thm),theory(equality)],[37,1177]),
[iquote('3:Rew:37.0,1177.0')] ).
cnf(1214,plain,
~ equal(op1(e13,e12),e12),
inference(rew,[status(thm),theory(equality)],[37,1178]),
[iquote('3:Rew:37.0,1178.0')] ).
cnf(1218,plain,
~ equal(op1(e12,e13),e13),
inference(rew,[status(thm),theory(equality)],[39,1188]),
[iquote('3:Rew:39.0,1188.0')] ).
cnf(1219,plain,
~ equal(op1(e13,e13),e13),
inference(rew,[status(thm),theory(equality)],[39,1189]),
[iquote('3:Rew:39.0,1189.0')] ).
cnf(1224,plain,
~ equal(op1(e13,e12),e13),
inference(rew,[status(thm),theory(equality)],[40,1194]),
[iquote('3:Rew:40.0,1194.0')] ).
cnf(1227,plain,
( equal(op1(e12,e13),e13)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[1157,539]),
[iquote('3:Rew:1157.0,539.2')] ).
cnf(1228,plain,
( equal(op1(e12,e13),e11)
| equal(op1(e12,e13),unit1) ),
inference(mrr,[status(thm)],[1227,1218]),
[iquote('3:MRR:1227.0,1218.0')] ).
cnf(1229,plain,
( equal(op1(e13,e13),e13)
| equal(op1(e13,e13),e11)
| equal(op1(e13,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[1157,535]),
[iquote('3:Rew:1157.0,535.2')] ).
cnf(1230,plain,
( equal(op1(e13,e13),e11)
| equal(op1(e13,e13),unit1) ),
inference(mrr,[status(thm)],[1229,1219]),
[iquote('3:MRR:1229.0,1219.0')] ).
cnf(1231,plain,
equal(op1(e13,e12),e11),
inference(mrr,[status(thm)],[536,1224,1214]),
[iquote('3:MRR:536.0,536.1,1224.0,1214.0')] ).
cnf(1232,plain,
~ equal(op1(e12,e12),e11),
inference(rew,[status(thm),theory(equality)],[1231,122]),
[iquote('3:Rew:1231.0,122.0')] ).
cnf(1233,plain,
~ equal(op1(e13,e13),e11),
inference(rew,[status(thm),theory(equality)],[1231,152]),
[iquote('3:Rew:1231.0,152.0')] ).
cnf(1238,plain,
equal(op1(e13,e13),unit1),
inference(mrr,[status(thm)],[1230,1233]),
[iquote('3:MRR:1230.0,1233.0')] ).
cnf(1240,plain,
~ equal(op1(e12,e13),unit1),
inference(rew,[status(thm),theory(equality)],[1238,128]),
[iquote('3:Rew:1238.0,128.0')] ).
cnf(1241,plain,
~ equal(op1(e13,e11),unit1),
inference(rew,[status(thm),theory(equality)],[1238,151]),
[iquote('3:Rew:1238.0,151.0')] ).
cnf(1244,plain,
equal(op1(e12,e13),e11),
inference(mrr,[status(thm)],[1228,1240]),
[iquote('3:MRR:1228.1,1240.0')] ).
cnf(1250,plain,
equal(op1(e12,e12),e13),
inference(mrr,[status(thm)],[540,1213,1232]),
[iquote('3:MRR:540.0,540.2,1213.0,1232.0')] ).
cnf(1262,plain,
( equal(e12,unit1)
| equal(e11,unit1)
| equal(op1(e12,e11),unit1) ),
inference(rew,[status(thm),theory(equality)],[1157,508,1244,38]),
[iquote('3:Rew:1157.0,508.2,1244.0,508.1,1157.0,508.1,38.0,508.0,1157.0,508.0')] ).
cnf(1263,plain,
equal(op1(e12,e11),unit1),
inference(mrr,[status(thm)],[1262,1017,1197]),
[iquote('3:MRR:1262.0,1262.1,1017.0,1197.0')] ).
cnf(1272,plain,
( equal(op1(e13,e11),e11)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e11),unit1) ),
inference(rew,[status(thm),theory(equality)],[1157,537]),
[iquote('3:Rew:1157.0,537.2')] ).
cnf(1273,plain,
equal(op1(e13,e11),e12),
inference(mrr,[status(thm)],[1272,1206,1241]),
[iquote('3:MRR:1272.0,1272.2,1206.0,1241.0')] ).
cnf(1292,plain,
( ~ skC7
| ~ skC6
| ~ equal(h3(e13),e23)
| ~ equal(op2(e22,h3(unit1)),e22)
| ~ equal(op2(h3(e13),e22),h3(e12))
| ~ equal(op2(h3(e12),e22),h3(unit1))
| ~ equal(op2(h3(unit1),e22),e22)
| ~ equal(op2(h3(e13),h3(e13)),h3(unit1))
| ~ equal(op2(h3(e12),h3(e12)),h3(e13))
| ~ equal(op2(h3(unit1),h3(unit1)),h3(unit1))
| ~ equal(op2(h3(e13),h3(e12)),e22)
| ~ equal(op2(h3(e13),h3(unit1)),h3(e13))
| ~ equal(op2(h3(e12),h3(e13)),e22)
| ~ equal(op2(h3(e12),h3(unit1)),h3(e12))
| ~ equal(op2(h3(unit1),h3(e13)),h3(e13))
| ~ equal(op2(h3(unit1),h3(e12)),h3(e12)) ),
inference(rew,[status(thm),theory(equality)],[37,564,1157,39,38,31,1244,40,1231,1173,1250,1238,35,1263,1273]),
[iquote('3:Rew:37.0,564.15,1157.0,564.15,39.0,564.14,1157.0,564.14,38.0,564.13,1157.0,564.13,31.0,564.12,1244.0,564.12,40.0,564.11,1157.0,564.11,31.0,564.10,1231.0,564.10,1173.0,564.9,1157.0,564.9,1250.0,564.8,1238.0,564.7,31.0,564.6,35.0,564.6,1157.0,564.6,1263.0,564.5,1273.0,564.4,1157.0,564.3')] ).
cnf(1299,plain,
equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s1)])],[212]),
[iquote('4:Spt:212.0')] ).
cnf(1316,plain,
~ equal(op2(e22,e21),op2(unit2,e21)),
inference(rew,[status(thm),theory(equality)],[1299,164]),
[iquote('4:Rew:1299.0,164.0')] ).
cnf(1317,plain,
~ equal(op2(e20,e21),op2(unit2,e21)),
inference(rew,[status(thm),theory(equality)],[1299,161]),
[iquote('4:Rew:1299.0,161.0')] ).
cnf(1325,plain,
~ equal(op2(e22,e20),op2(unit2,e20)),
inference(rew,[status(thm),theory(equality)],[1299,158]),
[iquote('4:Rew:1299.0,158.0')] ).
cnf(1326,plain,
~ equal(op2(unit2,e20),h1(e13)),
inference(rew,[status(thm),theory(equality)],[1299,386]),
[iquote('4:Rew:1299.0,386.0')] ).
cnf(1329,plain,
( equal(h3(e13),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e22,unit2),e21) ),
inference(rew,[status(thm),theory(equality)],[1299,459]),
[iquote('4:Rew:1299.0,459.2')] ).
cnf(1334,plain,
~ equal(op2(e22,e21),op2(e22,unit2)),
inference(rew,[status(thm),theory(equality)],[1299,193]),
[iquote('4:Rew:1299.0,193.0')] ).
cnf(1335,plain,
~ equal(op2(e22,e20),op2(e22,unit2)),
inference(rew,[status(thm),theory(equality)],[1299,191]),
[iquote('4:Rew:1299.0,191.0')] ).
cnf(1343,plain,
~ equal(op2(e20,e21),op2(e20,unit2)),
inference(rew,[status(thm),theory(equality)],[1299,181]),
[iquote('4:Rew:1299.0,181.0')] ).
cnf(1354,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e20),e20)
| equal(op2(e22,e20),unit2) ),
inference(rew,[status(thm),theory(equality)],[1299,485]),
[iquote('4:Rew:1299.0,485.2')] ).
cnf(1370,plain,
( equal(h1(e13),unit2)
| equal(h1(e13),e22)
| equal(h1(e13),e20) ),
inference(rew,[status(thm),theory(equality)],[1299,490]),
[iquote('4:Rew:1299.0,490.0')] ).
cnf(1401,plain,
~ equal(h1(e13),e20),
inference(rew,[status(thm),theory(equality)],[41,1326]),
[iquote('4:Rew:41.0,1326.0')] ).
cnf(1418,plain,
~ equal(op2(e22,e21),e21),
inference(rew,[status(thm),theory(equality)],[43,1316]),
[iquote('4:Rew:43.0,1316.0')] ).
cnf(1419,plain,
( equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e20) ),
inference(mrr,[status(thm)],[484,1418]),
[iquote('4:MRR:484.1,1418.0')] ).
cnf(1420,plain,
~ equal(op2(e20,e21),e21),
inference(rew,[status(thm),theory(equality)],[43,1317]),
[iquote('4:Rew:43.0,1317.0')] ).
cnf(1421,plain,
( equal(op2(e20,e21),e20)
| equal(op2(e20,e21),e22) ),
inference(mrr,[status(thm)],[488,1420]),
[iquote('4:MRR:488.0,1420.0')] ).
cnf(1424,plain,
~ equal(op2(e22,e20),e20),
inference(rew,[status(thm),theory(equality)],[41,1325]),
[iquote('4:Rew:41.0,1325.0')] ).
cnf(1425,plain,
~ equal(op2(e22,e21),e22),
inference(rew,[status(thm),theory(equality)],[46,1334]),
[iquote('4:Rew:46.0,1334.0')] ).
cnf(1426,plain,
~ equal(op2(e22,e20),e22),
inference(rew,[status(thm),theory(equality)],[46,1335]),
[iquote('4:Rew:46.0,1335.0')] ).
cnf(1428,plain,
~ equal(op2(e20,e21),e20),
inference(rew,[status(thm),theory(equality)],[42,1343]),
[iquote('4:Rew:42.0,1343.0')] ).
cnf(1431,plain,
equal(op2(e22,e21),e20),
inference(mrr,[status(thm)],[1419,1425]),
[iquote('4:MRR:1419.0,1425.0')] ).
cnf(1438,plain,
equal(op2(e20,e21),e22),
inference(mrr,[status(thm)],[1421,1428]),
[iquote('4:MRR:1421.0,1428.0')] ).
cnf(1440,plain,
~ equal(h1(e13),e22),
inference(rew,[status(thm),theory(equality)],[1438,374]),
[iquote('4:Rew:1438.0,374.0')] ).
cnf(1444,plain,
equal(h1(e13),unit2),
inference(mrr,[status(thm)],[1370,1440,1401]),
[iquote('4:MRR:1370.1,1370.2,1440.0,1401.0')] ).
cnf(1447,plain,
~ equal(op2(e22,e20),unit2),
inference(rew,[status(thm),theory(equality)],[1444,387]),
[iquote('4:Rew:1444.0,387.0')] ).
cnf(1468,plain,
( equal(h3(e13),e21)
| equal(e21,e20)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[46,1329,1431]),
[iquote('4:Rew:46.0,1329.2,1431.0,1329.1')] ).
cnf(1469,plain,
equal(h3(e13),e21),
inference(mrr,[status(thm)],[1468,7,10]),
[iquote('4:MRR:1468.1,1468.2,7.0,10.0')] ).
cnf(1475,plain,
equal(op2(e22,e21),h3(e12)),
inference(rew,[status(thm),theory(equality)],[1469,355]),
[iquote('4:Rew:1469.0,355.0')] ).
cnf(1478,plain,
equal(h3(e12),e20),
inference(rew,[status(thm),theory(equality)],[1431,1475]),
[iquote('4:Rew:1431.0,1475.0')] ).
cnf(1480,plain,
equal(op2(e22,e20),h3(unit1)),
inference(rew,[status(thm),theory(equality)],[1478,1164]),
[iquote('4:Rew:1478.0,1164.0')] ).
cnf(1483,plain,
~ equal(h3(unit1),e20),
inference(rew,[status(thm),theory(equality)],[1480,1424]),
[iquote('4:Rew:1480.0,1424.0')] ).
cnf(1484,plain,
~ equal(h3(unit1),e22),
inference(rew,[status(thm),theory(equality)],[1480,1426]),
[iquote('4:Rew:1480.0,1426.0')] ).
cnf(1485,plain,
~ equal(h3(unit1),unit2),
inference(rew,[status(thm),theory(equality)],[1480,1447]),
[iquote('4:Rew:1480.0,1447.0')] ).
cnf(1503,plain,
( equal(h3(unit1),e22)
| equal(h3(unit1),e20)
| equal(h3(unit1),unit2) ),
inference(rew,[status(thm),theory(equality)],[1480,1354]),
[iquote('4:Rew:1480.0,1354.2,1480.0,1354.1,1480.0,1354.0')] ).
cnf(1504,plain,
$false,
inference(mrr,[status(thm)],[1503,1484,1483,1485]),
[iquote('4:MRR:1503.0,1503.1,1503.2,1484.0,1483.0,1485.0')] ).
cnf(1515,plain,
~ equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2sa)])],[1504,1299]),
[iquote('4:Spt:1504.0,212.0,1299.0')] ).
cnf(1516,plain,
( equal(e22,unit2)
| equal(e21,unit2)
| equal(e20,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2)])],[212]),
[iquote('4:Spt:1504.0,212.1,212.2,212.3')] ).
cnf(1517,plain,
equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[1516]),
[iquote('5:Spt:1516.0')] ).
cnf(1521,plain,
~ equal(op2(e20,e23),op2(e20,unit2)),
inference(rew,[status(thm),theory(equality)],[1517,182]),
[iquote('5:Rew:1517.0,182.0')] ).
cnf(1524,plain,
( equal(h1(e13),e23)
| equal(op2(e20,e23),e23)
| equal(op2(e20,unit2),e23) ),
inference(rew,[status(thm),theory(equality)],[1517,465]),
[iquote('5:Rew:1517.0,465.2')] ).
cnf(1529,plain,
~ equal(e20,unit2),
inference(rew,[status(thm),theory(equality)],[1517,8]),
[iquote('5:Rew:1517.0,8.0')] ).
cnf(1544,plain,
~ equal(op2(e23,e21),op2(unit2,e21)),
inference(rew,[status(thm),theory(equality)],[1517,164]),
[iquote('5:Rew:1517.0,164.0')] ).
cnf(1553,plain,
~ equal(op2(unit2,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[1517,375]),
[iquote('5:Rew:1517.0,375.0')] ).
cnf(1555,plain,
~ equal(op2(e20,e23),op2(unit2,e23)),
inference(rew,[status(thm),theory(equality)],[1517,172]),
[iquote('5:Rew:1517.0,172.0')] ).
cnf(1574,plain,
( equal(h1(e13),unit2)
| equal(op2(e20,e22),e22)
| equal(op2(e20,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[1517,469]),
[iquote('5:Rew:1517.0,469.0')] ).
cnf(1599,plain,
( equal(op2(e23,e21),e21)
| equal(op2(e23,e21),unit2)
| equal(op2(e23,e21),e20) ),
inference(rew,[status(thm),theory(equality)],[1517,479]),
[iquote('5:Rew:1517.0,479.1')] ).
cnf(1619,plain,
~ equal(h4(e13),e23),
inference(rew,[status(thm),theory(equality)],[47,1553]),
[iquote('5:Rew:47.0,1553.0')] ).
cnf(1620,plain,
( equal(h4(e13),e21)
| equal(h4(e13),e20) ),
inference(mrr,[status(thm)],[477,1619]),
[iquote('5:MRR:477.0,1619.0')] ).
cnf(1632,plain,
~ equal(op2(e20,e23),e20),
inference(rew,[status(thm),theory(equality)],[42,1521]),
[iquote('5:Rew:42.0,1521.0')] ).
cnf(1633,plain,
( equal(op2(e20,e23),e23)
| equal(op2(e20,e23),e21) ),
inference(mrr,[status(thm)],[486,1632]),
[iquote('5:MRR:486.1,1632.0')] ).
cnf(1635,plain,
~ equal(op2(e23,e21),e21),
inference(rew,[status(thm),theory(equality)],[43,1544]),
[iquote('5:Rew:43.0,1544.0')] ).
cnf(1637,plain,
~ equal(op2(e20,e23),e23),
inference(rew,[status(thm),theory(equality)],[47,1555]),
[iquote('5:Rew:47.0,1555.0')] ).
cnf(1647,plain,
equal(op2(e20,e23),e21),
inference(mrr,[status(thm)],[1633,1637]),
[iquote('5:MRR:1633.0,1637.0')] ).
cnf(1648,plain,
~ equal(h4(e13),e21),
inference(rew,[status(thm),theory(equality)],[1647,378]),
[iquote('5:Rew:1647.0,378.0')] ).
cnf(1654,plain,
equal(h4(e13),e20),
inference(mrr,[status(thm)],[1620,1648]),
[iquote('5:MRR:1620.0,1648.0')] ).
cnf(1659,plain,
~ equal(op2(e23,e21),e20),
inference(rew,[status(thm),theory(equality)],[1654,362]),
[iquote('5:Rew:1654.0,362.0')] ).
cnf(1672,plain,
( equal(h1(e13),e23)
| equal(e23,e21)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[42,1524,1647]),
[iquote('5:Rew:42.0,1524.2,1647.0,1524.1')] ).
cnf(1673,plain,
equal(h1(e13),e23),
inference(mrr,[status(thm)],[1672,11,9]),
[iquote('5:MRR:1672.1,1672.2,11.0,9.0')] ).
cnf(1677,plain,
equal(op2(e20,e23),h1(e12)),
inference(rew,[status(thm),theory(equality)],[1673,360]),
[iquote('5:Rew:1673.0,360.0')] ).
cnf(1684,plain,
equal(h1(e12),e21),
inference(rew,[status(thm),theory(equality)],[1647,1677]),
[iquote('5:Rew:1647.0,1677.0')] ).
cnf(1686,plain,
equal(op2(e20,e21),h1(unit1)),
inference(rew,[status(thm),theory(equality)],[1684,1167]),
[iquote('5:Rew:1684.0,1167.0')] ).
cnf(1690,plain,
~ equal(op2(e23,e21),h1(unit1)),
inference(rew,[status(thm),theory(equality)],[1686,161]),
[iquote('5:Rew:1686.0,161.0')] ).
cnf(1698,plain,
( equal(e23,unit2)
| equal(e20,unit2)
| equal(h1(unit1),unit2) ),
inference(rew,[status(thm),theory(equality)],[1686,1574,1517,42,1673]),
[iquote('5:Rew:1686.0,1574.2,1517.0,1574.2,42.0,1574.1,1517.0,1574.1,1673.0,1574.0')] ).
cnf(1699,plain,
equal(h1(unit1),unit2),
inference(mrr,[status(thm)],[1698,1515,1529]),
[iquote('5:MRR:1698.0,1698.1,1515.0,1529.0')] ).
cnf(1705,plain,
~ equal(op2(e23,e21),unit2),
inference(rew,[status(thm),theory(equality)],[1699,1690]),
[iquote('5:Rew:1699.0,1690.0')] ).
cnf(1726,plain,
$false,
inference(mrr,[status(thm)],[1599,1635,1705,1659]),
[iquote('5:MRR:1599.0,1599.1,1599.2,1635.0,1705.0,1659.0')] ).
cnf(1744,plain,
~ equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[1726,1517]),
[iquote('5:Spt:1726.0,1516.0,1517.0')] ).
cnf(1745,plain,
( equal(e21,unit2)
| equal(e20,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[1516]),
[iquote('5:Spt:1726.0,1516.1,1516.2')] ).
cnf(1746,plain,
equal(e21,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[1745]),
[iquote('6:Spt:1745.0')] ).
cnf(1747,plain,
~ equal(e20,unit2),
inference(rew,[status(thm),theory(equality)],[1746,7]),
[iquote('6:Rew:1746.0,7.0')] ).
cnf(1805,plain,
( equal(op2(e23,unit2),unit2)
| equal(op2(e22,e21),e21)
| equal(op2(e20,e21),e21) ),
inference(rew,[status(thm),theory(equality)],[1746,449]),
[iquote('6:Rew:1746.0,449.0')] ).
cnf(1868,plain,
( equal(e23,unit2)
| equal(e22,unit2)
| equal(e20,unit2) ),
inference(rew,[status(thm),theory(equality)],[42,1805,1746,46,48]),
[iquote('6:Rew:42.0,1805.2,1746.0,1805.2,46.0,1805.1,1746.0,1805.1,48.0,1805.0')] ).
cnf(1869,plain,
$false,
inference(mrr,[status(thm)],[1868,1515,1744,1747]),
[iquote('6:MRR:1868.0,1868.1,1868.2,1515.0,1744.0,1747.0')] ).
cnf(1874,plain,
~ equal(e21,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[1869,1746]),
[iquote('6:Spt:1869.0,1745.0,1746.0')] ).
cnf(1875,plain,
equal(e20,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[1745]),
[iquote('6:Spt:1869.0,1745.1')] ).
cnf(1876,plain,
equal(op2(unit2,unit2),unit2),
inference(rew,[status(thm),theory(equality)],[1875,42]),
[iquote('6:Rew:1875.0,42.0')] ).
cnf(1894,plain,
~ equal(op2(unit2,e23),h4(e13)),
inference(rew,[status(thm),theory(equality)],[1875,378]),
[iquote('6:Rew:1875.0,378.0')] ).
cnf(1903,plain,
( ~ equal(h3(unit1),unit2)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[1875,1163]),
[iquote('6:Rew:1875.0,1163.0')] ).
cnf(1910,plain,
~ equal(op2(e23,e22),op2(e23,unit2)),
inference(rew,[status(thm),theory(equality)],[1875,196]),
[iquote('6:Rew:1875.0,196.0')] ).
cnf(1917,plain,
~ equal(e21,unit2),
inference(rew,[status(thm),theory(equality)],[1875,7]),
[iquote('6:Rew:1875.0,7.0')] ).
cnf(1918,plain,
equal(op2(e21,e22),unit2),
inference(rew,[status(thm),theory(equality)],[1875,400]),
[iquote('6:Rew:1875.0,400.0')] ).
cnf(1919,plain,
equal(op2(e21,unit2),e21),
inference(rew,[status(thm),theory(equality)],[1875,451]),
[iquote('6:Rew:1875.0,451.0')] ).
cnf(1932,plain,
~ equal(h4(e13),e23),
inference(rew,[status(thm),theory(equality)],[47,1894]),
[iquote('6:Rew:47.0,1894.0')] ).
cnf(1946,plain,
~ equal(op2(e22,e21),e21),
inference(rew,[status(thm),theory(equality)],[43,160,1875]),
[iquote('6:Rew:43.0,160.0,1875.0,160.0')] ).
cnf(1954,plain,
~ equal(op2(e23,e22),e23),
inference(rew,[status(thm),theory(equality)],[48,1910]),
[iquote('6:Rew:48.0,1910.0')] ).
cnf(1955,plain,
( equal(h4(e13),e23)
| equal(h4(e13),e21)
| equal(h4(e13),unit2) ),
inference(rew,[status(thm),theory(equality)],[1875,477]),
[iquote('6:Rew:1875.0,477.2')] ).
cnf(1956,plain,
( equal(h4(e13),e21)
| equal(h4(e13),unit2) ),
inference(mrr,[status(thm)],[1955,1932]),
[iquote('6:MRR:1955.0,1932.0')] ).
cnf(1964,plain,
( equal(h3(e13),e21)
| equal(op2(e22,e23),e21) ),
inference(mrr,[status(thm)],[459,1946]),
[iquote('6:MRR:459.1,1946.0')] ).
cnf(1965,plain,
( equal(h3(e13),e21)
| equal(op2(e23,e22),e21)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[45,442,1875]),
[iquote('6:Rew:45.0,442.2,1875.0,442.2')] ).
cnf(1966,plain,
( equal(h3(e13),e21)
| equal(op2(e23,e22),e21) ),
inference(mrr,[status(thm)],[1965,10]),
[iquote('6:MRR:1965.2,10.0')] ).
cnf(1974,plain,
( equal(h3(e13),e23)
| equal(op2(e23,e22),e23)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[45,434,1875]),
[iquote('6:Rew:45.0,434.2,1875.0,434.2')] ).
cnf(1975,plain,
equal(h3(e13),e23),
inference(mrr,[status(thm)],[1974,1954,12]),
[iquote('6:MRR:1974.1,1974.2,1954.0,12.0')] ).
cnf(1977,plain,
equal(op2(e22,e23),h3(e12)),
inference(rew,[status(thm),theory(equality)],[1975,355]),
[iquote('6:Rew:1975.0,355.0')] ).
cnf(1980,plain,
( ~ skC7
| ~ skC6
| ~ equal(e23,e23)
| ~ equal(op2(e22,h3(unit1)),e22)
| ~ equal(op2(h3(e13),e22),h3(e12))
| ~ equal(op2(h3(e12),e22),h3(unit1))
| ~ equal(op2(h3(unit1),e22),e22)
| ~ equal(op2(h3(e13),h3(e13)),h3(unit1))
| ~ equal(op2(h3(e12),h3(e12)),h3(e13))
| ~ equal(op2(h3(unit1),h3(unit1)),h3(unit1))
| ~ equal(op2(h3(e13),h3(e12)),e22)
| ~ equal(op2(h3(e13),h3(unit1)),h3(e13))
| ~ equal(op2(h3(e12),h3(e13)),e22)
| ~ equal(op2(h3(e12),h3(unit1)),h3(e12))
| ~ equal(op2(h3(unit1),h3(e13)),h3(e13))
| ~ equal(op2(h3(unit1),h3(e12)),h3(e12)) ),
inference(rew,[status(thm),theory(equality)],[1975,1292]),
[iquote('6:Rew:1975.0,1292.2')] ).
cnf(1984,plain,
( equal(e23,e21)
| equal(op2(e23,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[1975,1966]),
[iquote('6:Rew:1975.0,1966.0')] ).
cnf(1985,plain,
( equal(e23,e21)
| equal(op2(e22,e23),e21) ),
inference(rew,[status(thm),theory(equality)],[1975,1964]),
[iquote('6:Rew:1975.0,1964.0')] ).
cnf(1995,plain,
equal(op2(e23,e22),e21),
inference(mrr,[status(thm)],[1984,11]),
[iquote('6:MRR:1984.0,11.0')] ).
cnf(1996,plain,
~ equal(h4(e13),e21),
inference(rew,[status(thm),theory(equality)],[1995,361]),
[iquote('6:Rew:1995.0,361.0')] ).
cnf(2001,plain,
equal(h4(e13),unit2),
inference(mrr,[status(thm)],[1956,1996]),
[iquote('6:MRR:1956.0,1996.0')] ).
cnf(2003,plain,
equal(op2(e23,e23),unit2),
inference(rew,[status(thm),theory(equality)],[2001,102]),
[iquote('6:Rew:2001.0,102.0')] ).
cnf(2019,plain,
( equal(e23,e21)
| equal(h3(e12),e21) ),
inference(rew,[status(thm),theory(equality)],[1977,1985]),
[iquote('6:Rew:1977.0,1985.1')] ).
cnf(2020,plain,
equal(h3(e12),e21),
inference(mrr,[status(thm)],[2019,11]),
[iquote('6:MRR:2019.0,11.0')] ).
cnf(2021,plain,
equal(op2(e22,e21),h3(unit1)),
inference(rew,[status(thm),theory(equality)],[2020,1164]),
[iquote('6:Rew:2020.0,1164.0')] ).
cnf(2022,plain,
( ~ equal(e21,e21)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[2020,81]),
[iquote('6:Rew:2020.0,81.0')] ).
cnf(2023,plain,
equal(op2(e22,e23),e21),
inference(rew,[status(thm),theory(equality)],[2020,1977]),
[iquote('6:Rew:2020.0,1977.0')] ).
cnf(2028,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[2022]),
[iquote('6:Obv:2022.0')] ).
cnf(2042,plain,
( equal(e22,unit2)
| equal(e21,unit2)
| equal(h3(unit1),unit2) ),
inference(rew,[status(thm),theory(equality)],[2021,445,1875,2023,46]),
[iquote('6:Rew:2021.0,445.2,1875.0,445.2,2023.0,445.1,1875.0,445.1,46.0,445.0,1875.0,445.0')] ).
cnf(2043,plain,
equal(h3(unit1),unit2),
inference(mrr,[status(thm)],[2042,1744,1917]),
[iquote('6:MRR:2042.0,2042.1,1744.0,1917.0')] ).
cnf(2044,plain,
( ~ equal(unit2,unit2)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[2043,1903]),
[iquote('6:Rew:2043.0,1903.0')] ).
cnf(2045,plain,
equal(op2(e22,e21),unit2),
inference(rew,[status(thm),theory(equality)],[2043,2021]),
[iquote('6:Rew:2043.0,2021.0')] ).
cnf(2050,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[2044]),
[iquote('6:Obv:2044.0')] ).
cnf(2052,plain,
( equal(e22,unit2)
| equal(op2(e23,e21),e22)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[43,447,1875,2045]),
[iquote('6:Rew:43.0,447.2,1875.0,447.2,2045.0,447.0')] ).
cnf(2053,plain,
equal(op2(e23,e21),e22),
inference(mrr,[status(thm)],[2052,1744,10]),
[iquote('6:MRR:2052.0,2052.2,1744.0,10.0')] ).
cnf(2067,plain,
( ~ skC7
| ~ skC6
| ~ equal(op2(e22,h3(unit1)),e22)
| ~ equal(op2(h3(e13),e22),h3(e12))
| ~ equal(op2(h3(e12),e22),h3(unit1))
| ~ equal(op2(h3(unit1),e22),e22)
| ~ equal(op2(h3(e13),h3(e13)),h3(unit1))
| ~ equal(op2(h3(e12),h3(e12)),h3(e13))
| ~ equal(op2(h3(unit1),h3(unit1)),h3(unit1))
| ~ equal(op2(h3(e13),h3(e12)),e22)
| ~ equal(op2(h3(e13),h3(unit1)),h3(e13))
| ~ equal(op2(h3(e12),h3(e13)),e22)
| ~ equal(op2(h3(e12),h3(unit1)),h3(e12))
| ~ equal(op2(h3(unit1),h3(e13)),h3(e13))
| ~ equal(op2(h3(unit1),h3(e12)),h3(e12)) ),
inference(obv,[status(thm),theory(equality)],[1980]),
[iquote('6:Obv:1980.2')] ).
cnf(2068,plain,
( ~ skC7
| ~ skC6
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(unit2,unit2)
| ~ equal(e22,e22)
| ~ equal(unit2,unit2)
| ~ equal(e23,e23)
| ~ equal(unit2,unit2)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e21,e21) ),
inference(rew,[status(thm),theory(equality)],[43,2067,2043,2020,47,1975,1919,352,48,2053,1876,50,2003,45,1918,1995,46]),
[iquote('6:Rew:43.0,2067.14,2043.0,2067.14,2020.0,2067.14,47.0,2067.13,2043.0,2067.13,1975.0,2067.13,1919.0,2067.12,2043.0,2067.12,2020.0,2067.12,352.0,2067.11,2020.0,2067.11,1975.0,2067.11,48.0,2067.10,2043.0,2067.10,1975.0,2067.10,2053.0,2067.9,1975.0,2067.9,2020.0,2067.9,1876.0,2067.8,2043.0,2067.8,50.0,2067.7,2020.0,2067.7,1975.0,2067.7,2003.0,2067.6,1975.0,2067.6,2043.0,2067.6,45.0,2067.5,2043.0,2067.5,1918.0,2067.4,2020.0,2067.4,2043.0,2067.4,1995.0,2067.3,1975.0,2067.3,2020.0,2067.3,46.0,2067.2,2043.0,2067.2')] ).
cnf(2069,plain,
( ~ skC7
| ~ skC6 ),
inference(obv,[status(thm),theory(equality)],[2068]),
[iquote('6:Obv:2068.14')] ).
cnf(2070,plain,
$false,
inference(mrr,[status(thm)],[2069,2028,2050]),
[iquote('6:MRR:2069.0,2069.1,2028.0,2050.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.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 10:00:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.64
% 0.46/0.64 SPASS V 3.9
% 0.46/0.64 SPASS beiseite: Proof found.
% 0.46/0.64 % SZS status Theorem
% 0.46/0.64 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64 SPASS derived 927 clauses, backtracked 677 clauses, performed 6 splits and kept 1390 clauses.
% 0.46/0.64 SPASS allocated 86747 KBytes.
% 0.46/0.64 SPASS spent 0:00:00.30 on the problem.
% 0.46/0.64 0:00:00.04 for the input.
% 0.46/0.64 0:00:00.08 for the FLOTTER CNF translation.
% 0.46/0.64 0:00:00.00 for inferences.
% 0.46/0.64 0:00:00.01 for the backtracking.
% 0.46/0.64 0:00:00.15 for the reduction.
% 0.46/0.64
% 0.46/0.64
% 0.46/0.64 Here is a proof with depth 3, length 431 :
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.65 Formulae used in the proof : ax9 ax10 ax18 ax2 ax5 ax14 ax15 co1 ax16 ax19 ax7 ax8 ax6 ax4 ax3 ax1
% 0.46/0.65
%------------------------------------------------------------------------------