TSTP Solution File: ALG114+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:02:30 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 98
% Syntax : Number of clauses : 260 ( 128 unt; 80 nHn; 260 RR)
% Number of literals : 538 ( 0 equ; 164 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 22 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e11,e10),
file('ALG114+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG114+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG114+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e12,e11),
file('ALG114+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e13,e11),
file('ALG114+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e12),
file('ALG114+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e21,e20),
file('ALG114+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e22,e20),
file('ALG114+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e23,e20),
file('ALG114+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e22,e21),
file('ALG114+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e23,e21),
file('ALG114+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e23,e22),
file('ALG114+1.p',unknown),
[] ).
cnf(31,axiom,
equal(h3(e12),e22),
file('ALG114+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op1(e12,e12),e13),
file('ALG114+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op2(e22,e22),e23),
file('ALG114+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ equal(h3(e10),e20)
| skC30 ),
file('ALG114+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ equal(h3(e11),e21)
| skC31 ),
file('ALG114+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ equal(h3(e12),e22)
| skC32 ),
file('ALG114+1.p',unknown),
[] ).
cnf(83,axiom,
equal(op2(e20,e20),h1(e13)),
file('ALG114+1.p',unknown),
[] ).
cnf(84,axiom,
equal(op2(e21,e21),h2(e13)),
file('ALG114+1.p',unknown),
[] ).
cnf(85,axiom,
equal(op2(e22,e22),h3(e13)),
file('ALG114+1.p',unknown),
[] ).
cnf(86,axiom,
equal(op2(e23,e23),h4(e13)),
file('ALG114+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ skC0
| equal(op1(e10,e10),e10) ),
file('ALG114+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ skC1
| equal(op1(e11,e11),e10) ),
file('ALG114+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ skC2
| equal(op1(e12,e12),e10) ),
file('ALG114+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ skC3
| equal(op1(e10,e10),e11) ),
file('ALG114+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ skC4
| equal(op1(e11,e11),e11) ),
file('ALG114+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ skC5
| equal(op1(e12,e12),e11) ),
file('ALG114+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ skC6
| equal(op1(e10,e10),e12) ),
file('ALG114+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ skC7
| equal(op1(e11,e11),e12) ),
file('ALG114+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ skC8
| equal(op1(e12,e12),e12) ),
file('ALG114+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ skC12
| equal(op2(e20,e20),e20) ),
file('ALG114+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ skC13
| equal(op2(e21,e21),e20) ),
file('ALG114+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ skC14
| equal(op2(e22,e22),e20) ),
file('ALG114+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ skC15
| equal(op2(e20,e20),e21) ),
file('ALG114+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ skC16
| equal(op2(e21,e21),e21) ),
file('ALG114+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ skC17
| equal(op2(e22,e22),e21) ),
file('ALG114+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ skC18
| equal(op2(e20,e20),e22) ),
file('ALG114+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ skC19
| equal(op2(e21,e21),e22) ),
file('ALG114+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ skC20
| equal(op2(e22,e22),e22) ),
file('ALG114+1.p',unknown),
[] ).
cnf(111,axiom,
equal(op1(op1(e12,e12),e12),e10),
file('ALG114+1.p',unknown),
[] ).
cnf(112,axiom,
equal(op2(op2(e22,e22),e22),e20),
file('ALG114+1.p',unknown),
[] ).
cnf(115,axiom,
~ equal(op1(e13,e10),op1(e10,e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(122,axiom,
~ equal(op1(e12,e11),op1(e11,e11)),
file('ALG114+1.p',unknown),
[] ).
cnf(138,axiom,
~ equal(op1(e10,e12),op1(e10,e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(139,axiom,
~ equal(op1(e10,e13),op1(e10,e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(147,axiom,
~ equal(op1(e11,e13),op1(e11,e11)),
file('ALG114+1.p',unknown),
[] ).
cnf(148,axiom,
~ equal(op1(e11,e13),op1(e11,e12)),
file('ALG114+1.p',unknown),
[] ).
cnf(154,axiom,
~ equal(op1(e12,e13),op1(e12,e12)),
file('ALG114+1.p',unknown),
[] ).
cnf(160,axiom,
~ equal(op1(e13,e13),op1(e13,e12)),
file('ALG114+1.p',unknown),
[] ).
cnf(163,axiom,
~ equal(op2(e23,e20),op2(e20,e20)),
file('ALG114+1.p',unknown),
[] ).
cnf(170,axiom,
~ equal(op2(e22,e21),op2(e21,e21)),
file('ALG114+1.p',unknown),
[] ).
cnf(186,axiom,
~ equal(op2(e20,e22),op2(e20,e20)),
file('ALG114+1.p',unknown),
[] ).
cnf(187,axiom,
~ equal(op2(e20,e23),op2(e20,e20)),
file('ALG114+1.p',unknown),
[] ).
cnf(195,axiom,
~ equal(op2(e21,e23),op2(e21,e21)),
file('ALG114+1.p',unknown),
[] ).
cnf(196,axiom,
~ equal(op2(e21,e23),op2(e21,e22)),
file('ALG114+1.p',unknown),
[] ).
cnf(202,axiom,
~ equal(op2(e22,e23),op2(e22,e22)),
file('ALG114+1.p',unknown),
[] ).
cnf(208,axiom,
~ equal(op2(e23,e23),op2(e23,e22)),
file('ALG114+1.p',unknown),
[] ).
cnf(209,axiom,
( equal(op1(e13,e13),e10)
| skC0
| skC1
| skC2 ),
file('ALG114+1.p',unknown),
[] ).
cnf(210,axiom,
( equal(op1(e13,e13),e11)
| skC3
| skC4
| skC5 ),
file('ALG114+1.p',unknown),
[] ).
cnf(211,axiom,
( equal(op1(e13,e13),e12)
| skC6
| skC7
| skC8 ),
file('ALG114+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ equal(op1(e10,e10),e10)
| ~ skC0 ),
file('ALG114+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ equal(op1(e10,e10),e11)
| ~ skC1 ),
file('ALG114+1.p',unknown),
[] ).
cnf(217,axiom,
( ~ equal(op1(e11,e11),e11)
| ~ skC4 ),
file('ALG114+1.p',unknown),
[] ).
cnf(225,axiom,
( equal(op2(e23,e23),e20)
| skC12
| skC13
| skC14 ),
file('ALG114+1.p',unknown),
[] ).
cnf(226,axiom,
( equal(op2(e23,e23),e21)
| skC15
| skC16
| skC17 ),
file('ALG114+1.p',unknown),
[] ).
cnf(227,axiom,
( equal(op2(e23,e23),e22)
| skC18
| skC19
| skC20 ),
file('ALG114+1.p',unknown),
[] ).
cnf(229,axiom,
( ~ equal(op2(e20,e20),e20)
| ~ skC12 ),
file('ALG114+1.p',unknown),
[] ).
cnf(230,axiom,
( ~ equal(op2(e20,e20),e21)
| ~ skC13 ),
file('ALG114+1.p',unknown),
[] ).
cnf(233,axiom,
( ~ equal(op2(e21,e21),e21)
| ~ skC16 ),
file('ALG114+1.p',unknown),
[] ).
cnf(241,axiom,
equal(op2(op2(e20,e20),e20),h1(e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(242,axiom,
equal(op2(op2(e21,e21),e21),h2(e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(243,axiom,
equal(op2(op2(e22,e22),e22),h3(e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(244,axiom,
equal(op2(op2(e23,e23),e23),h4(e10)),
file('ALG114+1.p',unknown),
[] ).
cnf(257,axiom,
equal(op2(op2(e22,e22),op2(e22,e22)),h3(e11)),
file('ALG114+1.p',unknown),
[] ).
cnf(259,axiom,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e22,e23),e23)
| equal(op2(e23,e23),e23) ),
file('ALG114+1.p',unknown),
[] ).
cnf(260,axiom,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e23,e22),e23)
| equal(op2(e23,e23),e23) ),
file('ALG114+1.p',unknown),
[] ).
cnf(261,axiom,
( equal(op2(e20,e23),e22)
| equal(op2(e21,e23),e22)
| equal(op2(e22,e23),e22)
| equal(op2(e23,e23),e22) ),
file('ALG114+1.p',unknown),
[] ).
cnf(262,axiom,
( equal(op2(e23,e20),e22)
| equal(op2(e23,e21),e22)
| equal(op2(e23,e22),e22)
| equal(op2(e23,e23),e22) ),
file('ALG114+1.p',unknown),
[] ).
cnf(265,axiom,
( equal(op2(e20,e23),e20)
| equal(op2(e21,e23),e20)
| equal(op2(e22,e23),e20)
| equal(op2(e23,e23),e20) ),
file('ALG114+1.p',unknown),
[] ).
cnf(269,axiom,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e23,e22),e22) ),
file('ALG114+1.p',unknown),
[] ).
cnf(271,axiom,
( equal(op2(e20,e22),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e23,e22),e21) ),
file('ALG114+1.p',unknown),
[] ).
cnf(272,axiom,
( equal(op2(e22,e20),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e22,e23),e21) ),
file('ALG114+1.p',unknown),
[] ).
cnf(274,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e22,e23),e20) ),
file('ALG114+1.p',unknown),
[] ).
cnf(275,axiom,
( equal(op2(e20,e21),e23)
| equal(op2(e21,e21),e23)
| equal(op2(e22,e21),e23)
| equal(op2(e23,e21),e23) ),
file('ALG114+1.p',unknown),
[] ).
cnf(280,axiom,
( equal(op2(e21,e20),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e23),e21) ),
file('ALG114+1.p',unknown),
[] ).
cnf(307,axiom,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(op1(e13,e13),e13) ),
file('ALG114+1.p',unknown),
[] ).
cnf(308,axiom,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e11),e13)
| equal(op1(e13,e12),e13)
| equal(op1(e13,e13),e13) ),
file('ALG114+1.p',unknown),
[] ).
cnf(309,axiom,
( equal(op1(e10,e13),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12)
| equal(op1(e13,e13),e12) ),
file('ALG114+1.p',unknown),
[] ).
cnf(310,axiom,
( equal(op1(e13,e10),e12)
| equal(op1(e13,e11),e12)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e13),e12) ),
file('ALG114+1.p',unknown),
[] ).
cnf(313,axiom,
( equal(op1(e10,e13),e10)
| equal(op1(e11,e13),e10)
| equal(op1(e12,e13),e10)
| equal(op1(e13,e13),e10) ),
file('ALG114+1.p',unknown),
[] ).
cnf(317,axiom,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12) ),
file('ALG114+1.p',unknown),
[] ).
cnf(319,axiom,
( equal(op1(e10,e12),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e13,e12),e11) ),
file('ALG114+1.p',unknown),
[] ).
cnf(320,axiom,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e12,e12),e11)
| equal(op1(e12,e13),e11) ),
file('ALG114+1.p',unknown),
[] ).
cnf(322,axiom,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e12,e13),e10) ),
file('ALG114+1.p',unknown),
[] ).
cnf(323,axiom,
( equal(op1(e10,e11),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e13,e11),e13) ),
file('ALG114+1.p',unknown),
[] ).
cnf(328,axiom,
( equal(op1(e11,e10),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e13),e11) ),
file('ALG114+1.p',unknown),
[] ).
cnf(359,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)))
| ~ skC30
| ~ skC31
| ~ skC32 ),
file('ALG114+1.p',unknown),
[] ).
cnf(371,plain,
equal(h3(e13),e23),
inference(rew,[status(thm),theory(equality)],[34,85]),
[iquote('0:Rew:34.0,85.0')] ).
cnf(376,plain,
( ~ equal(e22,e22)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[31,69]),
[iquote('0:Rew:31.0,69.0')] ).
cnf(377,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[376]),
[iquote('0:Obv:376.0')] ).
cnf(390,plain,
equal(op2(e23,e22),e20),
inference(rew,[status(thm),theory(equality)],[34,112]),
[iquote('0:Rew:34.0,112.0')] ).
cnf(391,plain,
equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[33,111]),
[iquote('0:Rew:33.0,111.0')] ).
cnf(394,plain,
( ~ skC20
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[34,107]),
[iquote('0:Rew:34.0,107.1')] ).
cnf(395,plain,
~ skC20,
inference(mrr,[status(thm)],[394,12]),
[iquote('0:MRR:394.1,12.0')] ).
cnf(396,plain,
( ~ skC19
| equal(h2(e13),e22) ),
inference(rew,[status(thm),theory(equality)],[84,106]),
[iquote('0:Rew:84.0,106.1')] ).
cnf(397,plain,
( ~ skC18
| equal(h1(e13),e22) ),
inference(rew,[status(thm),theory(equality)],[83,105]),
[iquote('0:Rew:83.0,105.1')] ).
cnf(398,plain,
( ~ skC17
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[34,104]),
[iquote('0:Rew:34.0,104.1')] ).
cnf(399,plain,
~ skC17,
inference(mrr,[status(thm)],[398,11]),
[iquote('0:MRR:398.1,11.0')] ).
cnf(400,plain,
( ~ skC16
| equal(h2(e13),e21) ),
inference(rew,[status(thm),theory(equality)],[84,103]),
[iquote('0:Rew:84.0,103.1')] ).
cnf(401,plain,
( ~ skC15
| equal(h1(e13),e21) ),
inference(rew,[status(thm),theory(equality)],[83,102]),
[iquote('0:Rew:83.0,102.1')] ).
cnf(402,plain,
( ~ skC14
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[34,101]),
[iquote('0:Rew:34.0,101.1')] ).
cnf(403,plain,
~ skC14,
inference(mrr,[status(thm)],[402,9]),
[iquote('0:MRR:402.1,9.0')] ).
cnf(404,plain,
( ~ skC13
| equal(h2(e13),e20) ),
inference(rew,[status(thm),theory(equality)],[84,100]),
[iquote('0:Rew:84.0,100.1')] ).
cnf(405,plain,
( ~ skC12
| equal(h1(e13),e20) ),
inference(rew,[status(thm),theory(equality)],[83,99]),
[iquote('0:Rew:83.0,99.1')] ).
cnf(406,plain,
( ~ skC8
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[33,95]),
[iquote('0:Rew:33.0,95.1')] ).
cnf(407,plain,
~ skC8,
inference(mrr,[status(thm)],[406,6]),
[iquote('0:MRR:406.1,6.0')] ).
cnf(408,plain,
( ~ skC5
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[33,92]),
[iquote('0:Rew:33.0,92.1')] ).
cnf(409,plain,
~ skC5,
inference(mrr,[status(thm)],[408,5]),
[iquote('0:MRR:408.1,5.0')] ).
cnf(410,plain,
( ~ skC2
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[33,89]),
[iquote('0:Rew:33.0,89.1')] ).
cnf(411,plain,
~ skC2,
inference(mrr,[status(thm)],[410,3]),
[iquote('0:MRR:410.1,3.0')] ).
cnf(412,plain,
equal(op2(h4(e13),e23),h4(e10)),
inference(rew,[status(thm),theory(equality)],[86,244]),
[iquote('0:Rew:86.0,244.0')] ).
cnf(413,plain,
equal(h3(e10),e20),
inference(rew,[status(thm),theory(equality)],[390,243,34]),
[iquote('0:Rew:390.0,243.0,34.0,243.0')] ).
cnf(415,plain,
( ~ equal(e20,e20)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[413,59]),
[iquote('0:Rew:413.0,59.0')] ).
cnf(416,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[415]),
[iquote('0:Obv:415.0')] ).
cnf(417,plain,
equal(op2(h2(e13),e21),h2(e10)),
inference(rew,[status(thm),theory(equality)],[84,242]),
[iquote('0:Rew:84.0,242.0')] ).
cnf(418,plain,
equal(op2(h1(e13),e20),h1(e10)),
inference(rew,[status(thm),theory(equality)],[83,241]),
[iquote('0:Rew:83.0,241.0')] ).
cnf(424,plain,
( ~ equal(e21,e21)
| ~ skC16 ),
inference(rew,[status(thm),theory(equality)],[400,233,84]),
[iquote('0:Rew:400.1,233.0,84.0,233.0')] ).
cnf(425,plain,
~ skC16,
inference(obv,[status(thm),theory(equality)],[424]),
[iquote('0:Obv:424.0')] ).
cnf(427,plain,
( ~ equal(h1(e13),e21)
| ~ skC13 ),
inference(rew,[status(thm),theory(equality)],[83,230]),
[iquote('0:Rew:83.0,230.0')] ).
cnf(428,plain,
( ~ equal(e20,e20)
| ~ skC12 ),
inference(rew,[status(thm),theory(equality)],[405,229,83]),
[iquote('0:Rew:405.1,229.0,83.0,229.0')] ).
cnf(429,plain,
~ skC12,
inference(obv,[status(thm),theory(equality)],[428]),
[iquote('0:Obv:428.0')] ).
cnf(431,plain,
( equal(h4(e13),e22)
| skC18
| skC19
| skC20 ),
inference(rew,[status(thm),theory(equality)],[86,227]),
[iquote('0:Rew:86.0,227.0')] ).
cnf(432,plain,
( equal(h4(e13),e22)
| skC18
| skC19 ),
inference(mrr,[status(thm)],[431,395]),
[iquote('0:MRR:431.3,395.0')] ).
cnf(433,plain,
( equal(h4(e13),e21)
| skC15
| skC16
| skC17 ),
inference(rew,[status(thm),theory(equality)],[86,226]),
[iquote('0:Rew:86.0,226.0')] ).
cnf(434,plain,
( equal(h4(e13),e21)
| skC15 ),
inference(mrr,[status(thm)],[433,425,399]),
[iquote('0:MRR:433.2,433.3,425.0,399.0')] ).
cnf(435,plain,
( equal(h4(e13),e20)
| skC12
| skC13
| skC14 ),
inference(rew,[status(thm),theory(equality)],[86,225]),
[iquote('0:Rew:86.0,225.0')] ).
cnf(436,plain,
( equal(h4(e13),e20)
| skC13 ),
inference(mrr,[status(thm)],[435,429,403]),
[iquote('0:MRR:435.1,435.3,429.0,403.0')] ).
cnf(439,plain,
( ~ equal(e11,e11)
| ~ skC4 ),
inference(rew,[status(thm),theory(equality)],[91,217]),
[iquote('0:Rew:91.1,217.0')] ).
cnf(440,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[439]),
[iquote('0:Obv:439.0')] ).
cnf(441,plain,
( ~ equal(e10,e10)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[87,213]),
[iquote('0:Rew:87.1,213.0')] ).
cnf(442,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[441]),
[iquote('0:Obv:441.0')] ).
cnf(443,plain,
( equal(op1(e13,e13),e12)
| skC6
| skC7 ),
inference(mrr,[status(thm)],[211,407]),
[iquote('0:MRR:211.3,407.0')] ).
cnf(444,plain,
( equal(op1(e13,e13),e11)
| skC3 ),
inference(mrr,[status(thm)],[210,440,409]),
[iquote('0:MRR:210.2,210.3,440.0,409.0')] ).
cnf(445,plain,
( equal(op1(e13,e13),e10)
| skC1 ),
inference(mrr,[status(thm)],[209,442,411]),
[iquote('0:MRR:209.1,209.3,442.0,411.0')] ).
cnf(446,plain,
~ equal(h4(e13),e20),
inference(rew,[status(thm),theory(equality)],[86,208,390]),
[iquote('0:Rew:86.0,208.0,390.0,208.0')] ).
cnf(447,plain,
skC13,
inference(mrr,[status(thm)],[436,446]),
[iquote('0:MRR:436.0,446.0')] ).
cnf(448,plain,
equal(h2(e13),e20),
inference(mrr,[status(thm)],[404,447]),
[iquote('0:MRR:404.0,447.0')] ).
cnf(449,plain,
~ equal(h1(e13),e21),
inference(mrr,[status(thm)],[427,447]),
[iquote('0:MRR:427.1,447.0')] ).
cnf(450,plain,
equal(op2(e21,e21),e20),
inference(rew,[status(thm),theory(equality)],[448,84]),
[iquote('0:Rew:448.0,84.0')] ).
cnf(451,plain,
( ~ skC19
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[448,396]),
[iquote('0:Rew:448.0,396.1')] ).
cnf(456,plain,
equal(op2(e20,e21),h2(e10)),
inference(rew,[status(thm),theory(equality)],[448,417]),
[iquote('0:Rew:448.0,417.0')] ).
cnf(457,plain,
~ skC15,
inference(mrr,[status(thm)],[401,449]),
[iquote('0:MRR:401.1,449.0')] ).
cnf(458,plain,
equal(h4(e13),e21),
inference(mrr,[status(thm)],[434,457]),
[iquote('0:MRR:434.1,457.0')] ).
cnf(459,plain,
equal(op2(e23,e23),e21),
inference(rew,[status(thm),theory(equality)],[458,86]),
[iquote('0:Rew:458.0,86.0')] ).
cnf(460,plain,
( equal(e22,e21)
| skC18
| skC19 ),
inference(rew,[status(thm),theory(equality)],[458,432]),
[iquote('0:Rew:458.0,432.0')] ).
cnf(465,plain,
equal(op2(e21,e23),h4(e10)),
inference(rew,[status(thm),theory(equality)],[458,412]),
[iquote('0:Rew:458.0,412.0')] ).
cnf(468,plain,
~ skC19,
inference(mrr,[status(thm)],[451,8]),
[iquote('0:MRR:451.1,8.0')] ).
cnf(471,plain,
skC18,
inference(mrr,[status(thm)],[460,10,468]),
[iquote('0:MRR:460.0,460.2,10.0,468.0')] ).
cnf(472,plain,
equal(h1(e13),e22),
inference(mrr,[status(thm)],[397,471]),
[iquote('0:MRR:397.0,471.0')] ).
cnf(473,plain,
equal(op2(e20,e20),e22),
inference(rew,[status(thm),theory(equality)],[472,83]),
[iquote('0:Rew:472.0,83.0')] ).
cnf(476,plain,
equal(op2(e22,e20),h1(e10)),
inference(rew,[status(thm),theory(equality)],[472,418]),
[iquote('0:Rew:472.0,418.0')] ).
cnf(488,plain,
~ equal(op2(e22,e23),e23),
inference(rew,[status(thm),theory(equality)],[34,202]),
[iquote('0:Rew:34.0,202.0')] ).
cnf(493,plain,
~ equal(op2(e21,e22),h4(e10)),
inference(rew,[status(thm),theory(equality)],[465,196]),
[iquote('0:Rew:465.0,196.0')] ).
cnf(494,plain,
~ equal(h4(e10),e20),
inference(rew,[status(thm),theory(equality)],[465,195,450]),
[iquote('0:Rew:465.0,195.0,450.0,195.0')] ).
cnf(500,plain,
~ equal(op2(e20,e23),e22),
inference(rew,[status(thm),theory(equality)],[473,187]),
[iquote('0:Rew:473.0,187.0')] ).
cnf(501,plain,
~ equal(op2(e20,e22),e22),
inference(rew,[status(thm),theory(equality)],[473,186]),
[iquote('0:Rew:473.0,186.0')] ).
cnf(514,plain,
~ equal(op2(e22,e21),e20),
inference(rew,[status(thm),theory(equality)],[450,170]),
[iquote('0:Rew:450.0,170.0')] ).
cnf(520,plain,
~ equal(op2(e23,e20),e22),
inference(rew,[status(thm),theory(equality)],[473,163]),
[iquote('0:Rew:473.0,163.0')] ).
cnf(523,plain,
~ equal(op1(e13,e13),e10),
inference(rew,[status(thm),theory(equality)],[391,160]),
[iquote('0:Rew:391.0,160.0')] ).
cnf(524,plain,
skC1,
inference(mrr,[status(thm)],[445,523]),
[iquote('0:MRR:445.0,523.0')] ).
cnf(525,plain,
equal(op1(e11,e11),e10),
inference(mrr,[status(thm)],[88,524]),
[iquote('0:MRR:88.0,524.0')] ).
cnf(526,plain,
~ equal(op1(e10,e10),e11),
inference(mrr,[status(thm)],[214,524]),
[iquote('0:MRR:214.1,524.0')] ).
cnf(528,plain,
( ~ skC7
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[525,94]),
[iquote('0:Rew:525.0,94.1')] ).
cnf(532,plain,
~ skC7,
inference(mrr,[status(thm)],[528,2]),
[iquote('0:MRR:528.1,2.0')] ).
cnf(533,plain,
( equal(op1(e13,e13),e12)
| skC6 ),
inference(mrr,[status(thm)],[443,532]),
[iquote('0:MRR:443.2,532.0')] ).
cnf(534,plain,
~ skC3,
inference(mrr,[status(thm)],[90,526]),
[iquote('0:MRR:90.1,526.0')] ).
cnf(535,plain,
equal(op1(e13,e13),e11),
inference(mrr,[status(thm)],[444,534]),
[iquote('0:MRR:444.1,534.0')] ).
cnf(539,plain,
( equal(e12,e11)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[535,533]),
[iquote('0:Rew:535.0,533.0')] ).
cnf(540,plain,
skC6,
inference(mrr,[status(thm)],[539,4]),
[iquote('0:MRR:539.0,4.0')] ).
cnf(541,plain,
equal(op1(e10,e10),e12),
inference(mrr,[status(thm)],[93,540]),
[iquote('0:MRR:93.0,540.0')] ).
cnf(551,plain,
~ equal(op1(e12,e13),e13),
inference(rew,[status(thm),theory(equality)],[33,154]),
[iquote('0:Rew:33.0,154.0')] ).
cnf(554,plain,
~ equal(op1(e11,e13),e10),
inference(rew,[status(thm),theory(equality)],[525,147]),
[iquote('0:Rew:525.0,147.0')] ).
cnf(557,plain,
~ equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[541,139]),
[iquote('0:Rew:541.0,139.0')] ).
cnf(558,plain,
~ equal(op1(e10,e12),e12),
inference(rew,[status(thm),theory(equality)],[541,138]),
[iquote('0:Rew:541.0,138.0')] ).
cnf(569,plain,
~ equal(op1(e12,e11),e10),
inference(rew,[status(thm),theory(equality)],[525,122]),
[iquote('0:Rew:525.0,122.0')] ).
cnf(571,plain,
~ equal(op1(e13,e10),e12),
inference(rew,[status(thm),theory(equality)],[541,115]),
[iquote('0:Rew:541.0,115.0')] ).
cnf(582,plain,
equal(h3(e11),e21),
inference(rew,[status(thm),theory(equality)],[459,257,34]),
[iquote('0:Rew:459.0,257.0,34.0,257.0')] ).
cnf(583,plain,
( ~ equal(e21,e21)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[582,64]),
[iquote('0:Rew:582.0,64.0')] ).
cnf(584,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[583]),
[iquote('0:Obv:583.0')] ).
cnf(590,plain,
( equal(op2(e20,e23),e23)
| equal(h4(e10),e23)
| equal(op2(e22,e23),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[459,259,465]),
[iquote('0:Rew:459.0,259.3,465.0,259.1')] ).
cnf(591,plain,
( equal(op2(e20,e23),e23)
| equal(h4(e10),e23) ),
inference(mrr,[status(thm)],[590,488,11]),
[iquote('0:MRR:590.2,590.3,488.0,11.0')] ).
cnf(592,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23)
| equal(e23,e20)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[459,260,390]),
[iquote('0:Rew:459.0,260.3,390.0,260.2')] ).
cnf(593,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23) ),
inference(mrr,[status(thm)],[592,9,11]),
[iquote('0:MRR:592.2,592.3,9.0,11.0')] ).
cnf(594,plain,
( equal(op2(e20,e23),e22)
| equal(h4(e10),e22)
| equal(op2(e22,e23),e22)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[459,261,465]),
[iquote('0:Rew:459.0,261.3,465.0,261.1')] ).
cnf(595,plain,
( equal(h4(e10),e22)
| equal(op2(e22,e23),e22) ),
inference(mrr,[status(thm)],[594,500,10]),
[iquote('0:MRR:594.0,594.3,500.0,10.0')] ).
cnf(596,plain,
( equal(op2(e23,e20),e22)
| equal(op2(e23,e21),e22)
| equal(e22,e20)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[459,262,390]),
[iquote('0:Rew:459.0,262.3,390.0,262.2')] ).
cnf(597,plain,
equal(op2(e23,e21),e22),
inference(mrr,[status(thm)],[596,520,8,10]),
[iquote('0:MRR:596.0,596.2,596.3,520.0,8.0,10.0')] ).
cnf(603,plain,
( equal(op2(e23,e20),e23)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[597,593]),
[iquote('0:Rew:597.0,593.1')] ).
cnf(604,plain,
equal(op2(e23,e20),e23),
inference(mrr,[status(thm)],[603,12]),
[iquote('0:MRR:603.1,12.0')] ).
cnf(610,plain,
( equal(op2(e20,e23),e20)
| equal(h4(e10),e20)
| equal(op2(e22,e23),e20)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[459,265,465]),
[iquote('0:Rew:459.0,265.3,465.0,265.1')] ).
cnf(611,plain,
( equal(op2(e20,e23),e20)
| equal(op2(e22,e23),e20) ),
inference(mrr,[status(thm)],[610,494,7]),
[iquote('0:MRR:610.1,610.3,494.0,7.0')] ).
cnf(612,plain,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(e23,e22)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[390,269,34]),
[iquote('0:Rew:390.0,269.3,34.0,269.2')] ).
cnf(613,plain,
equal(op2(e21,e22),e22),
inference(mrr,[status(thm)],[612,501,12,8]),
[iquote('0:MRR:612.0,612.2,612.3,501.0,12.0,8.0')] ).
cnf(614,plain,
~ equal(h4(e10),e22),
inference(rew,[status(thm),theory(equality)],[613,493]),
[iquote('0:Rew:613.0,493.0')] ).
cnf(619,plain,
equal(op2(e22,e23),e22),
inference(mrr,[status(thm)],[595,614]),
[iquote('0:MRR:595.0,614.0')] ).
cnf(626,plain,
( equal(op2(e20,e23),e20)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[619,611]),
[iquote('0:Rew:619.0,611.1')] ).
cnf(627,plain,
equal(op2(e20,e23),e20),
inference(mrr,[status(thm)],[626,8]),
[iquote('0:MRR:626.1,8.0')] ).
cnf(633,plain,
( equal(e23,e20)
| equal(h4(e10),e23) ),
inference(rew,[status(thm),theory(equality)],[627,591]),
[iquote('0:Rew:627.0,591.0')] ).
cnf(634,plain,
equal(h4(e10),e23),
inference(mrr,[status(thm)],[633,9]),
[iquote('0:MRR:633.0,9.0')] ).
cnf(635,plain,
equal(op2(e21,e23),e23),
inference(rew,[status(thm),theory(equality)],[634,465]),
[iquote('0:Rew:634.0,465.0')] ).
cnf(640,plain,
( equal(op2(e20,e22),e21)
| equal(e22,e21)
| equal(e23,e21)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[390,271,34,613]),
[iquote('0:Rew:390.0,271.3,34.0,271.2,613.0,271.1')] ).
cnf(641,plain,
equal(op2(e20,e22),e21),
inference(mrr,[status(thm)],[640,10,11,7]),
[iquote('0:MRR:640.1,640.2,640.3,10.0,11.0,7.0')] ).
cnf(646,plain,
( equal(h1(e10),e21)
| equal(op2(e22,e21),e21)
| equal(e23,e21)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[619,272,34,476]),
[iquote('0:Rew:619.0,272.3,34.0,272.2,476.0,272.0')] ).
cnf(647,plain,
( equal(h1(e10),e21)
| equal(op2(e22,e21),e21) ),
inference(mrr,[status(thm)],[646,11,10]),
[iquote('0:MRR:646.2,646.3,11.0,10.0')] ).
cnf(648,plain,
( equal(h1(e10),e20)
| equal(op2(e22,e21),e20)
| equal(e23,e20)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[619,274,34,476]),
[iquote('0:Rew:619.0,274.3,34.0,274.2,476.0,274.0')] ).
cnf(649,plain,
equal(h1(e10),e20),
inference(mrr,[status(thm)],[648,514,9,8]),
[iquote('0:MRR:648.1,648.2,648.3,514.0,9.0,8.0')] ).
cnf(650,plain,
( equal(e21,e20)
| equal(op2(e22,e21),e21) ),
inference(rew,[status(thm),theory(equality)],[649,647]),
[iquote('0:Rew:649.0,647.0')] ).
cnf(652,plain,
equal(op2(e22,e20),e20),
inference(rew,[status(thm),theory(equality)],[649,476]),
[iquote('0:Rew:649.0,476.0')] ).
cnf(657,plain,
equal(op2(e22,e21),e21),
inference(mrr,[status(thm)],[650,7]),
[iquote('0:MRR:650.0,7.0')] ).
cnf(662,plain,
( equal(h2(e10),e23)
| equal(e23,e20)
| equal(e23,e21)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[597,275,657,450,456]),
[iquote('0:Rew:597.0,275.3,657.0,275.2,450.0,275.1,456.0,275.0')] ).
cnf(663,plain,
equal(h2(e10),e23),
inference(mrr,[status(thm)],[662,9,11,12]),
[iquote('0:MRR:662.1,662.2,662.3,9.0,11.0,12.0')] ).
cnf(664,plain,
equal(op2(e20,e21),e23),
inference(rew,[status(thm),theory(equality)],[663,456]),
[iquote('0:Rew:663.0,456.0')] ).
cnf(668,plain,
( equal(op2(e21,e20),e21)
| equal(e21,e20)
| equal(e22,e21)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[635,280,613,450]),
[iquote('0:Rew:635.0,280.3,613.0,280.2,450.0,280.1')] ).
cnf(669,plain,
equal(op2(e21,e20),e21),
inference(mrr,[status(thm)],[668,7,10,11]),
[iquote('0:MRR:668.1,668.2,668.3,7.0,10.0,11.0')] ).
cnf(673,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[535,307]),
[iquote('0:Rew:535.0,307.3')] ).
cnf(674,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13) ),
inference(mrr,[status(thm)],[673,551,5]),
[iquote('0:MRR:673.2,673.3,551.0,5.0')] ).
cnf(675,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e11),e13)
| equal(e13,e10)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[535,308,391]),
[iquote('0:Rew:535.0,308.3,391.0,308.2')] ).
cnf(676,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e11),e13) ),
inference(mrr,[status(thm)],[675,3,5]),
[iquote('0:MRR:675.2,675.3,3.0,5.0')] ).
cnf(677,plain,
( equal(op1(e10,e13),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[535,309]),
[iquote('0:Rew:535.0,309.3')] ).
cnf(678,plain,
( equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12) ),
inference(mrr,[status(thm)],[677,557,4]),
[iquote('0:MRR:677.0,677.3,557.0,4.0')] ).
cnf(679,plain,
( equal(op1(e13,e10),e12)
| equal(op1(e13,e11),e12)
| equal(e12,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[535,310,391]),
[iquote('0:Rew:535.0,310.3,391.0,310.2')] ).
cnf(680,plain,
equal(op1(e13,e11),e12),
inference(mrr,[status(thm)],[679,571,2,4]),
[iquote('0:MRR:679.0,679.2,679.3,571.0,2.0,4.0')] ).
cnf(686,plain,
( equal(op1(e13,e10),e13)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[680,676]),
[iquote('0:Rew:680.0,676.1')] ).
cnf(687,plain,
equal(op1(e13,e10),e13),
inference(mrr,[status(thm)],[686,6]),
[iquote('0:MRR:686.1,6.0')] ).
cnf(693,plain,
( equal(op1(e10,e13),e10)
| equal(op1(e11,e13),e10)
| equal(op1(e12,e13),e10)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[535,313]),
[iquote('0:Rew:535.0,313.3')] ).
cnf(694,plain,
( equal(op1(e10,e13),e10)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[693,554,1]),
[iquote('0:MRR:693.1,693.3,554.0,1.0')] ).
cnf(695,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(e13,e12)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[391,317,33]),
[iquote('0:Rew:391.0,317.3,33.0,317.2')] ).
cnf(696,plain,
equal(op1(e11,e12),e12),
inference(mrr,[status(thm)],[695,558,6,2]),
[iquote('0:MRR:695.0,695.2,695.3,558.0,6.0,2.0')] ).
cnf(697,plain,
~ equal(op1(e11,e13),e12),
inference(rew,[status(thm),theory(equality)],[696,148]),
[iquote('0:Rew:696.0,148.0')] ).
cnf(702,plain,
equal(op1(e12,e13),e12),
inference(mrr,[status(thm)],[678,697]),
[iquote('0:MRR:678.0,697.0')] ).
cnf(709,plain,
( equal(op1(e10,e13),e10)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[702,694]),
[iquote('0:Rew:702.0,694.1')] ).
cnf(710,plain,
equal(op1(e10,e13),e10),
inference(mrr,[status(thm)],[709,2]),
[iquote('0:MRR:709.1,2.0')] ).
cnf(716,plain,
( equal(e13,e10)
| equal(op1(e11,e13),e13) ),
inference(rew,[status(thm),theory(equality)],[710,674]),
[iquote('0:Rew:710.0,674.0')] ).
cnf(717,plain,
equal(op1(e11,e13),e13),
inference(mrr,[status(thm)],[716,3]),
[iquote('0:MRR:716.0,3.0')] ).
cnf(722,plain,
( equal(op1(e10,e12),e11)
| equal(e12,e11)
| equal(e13,e11)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[391,319,33,696]),
[iquote('0:Rew:391.0,319.3,33.0,319.2,696.0,319.1')] ).
cnf(723,plain,
equal(op1(e10,e12),e11),
inference(mrr,[status(thm)],[722,4,5,1]),
[iquote('0:MRR:722.1,722.2,722.3,4.0,5.0,1.0')] ).
cnf(728,plain,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11)
| equal(e13,e11)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[702,320,33]),
[iquote('0:Rew:702.0,320.3,33.0,320.2')] ).
cnf(729,plain,
( equal(op1(e12,e10),e11)
| equal(op1(e12,e11),e11) ),
inference(mrr,[status(thm)],[728,5,4]),
[iquote('0:MRR:728.2,728.3,5.0,4.0')] ).
cnf(730,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(e13,e10)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[702,322,33]),
[iquote('0:Rew:702.0,322.3,33.0,322.2')] ).
cnf(731,plain,
equal(op1(e12,e10),e10),
inference(mrr,[status(thm)],[730,569,3,2]),
[iquote('0:MRR:730.1,730.2,730.3,569.0,3.0,2.0')] ).
cnf(736,plain,
( equal(e11,e10)
| equal(op1(e12,e11),e11) ),
inference(rew,[status(thm),theory(equality)],[731,729]),
[iquote('0:Rew:731.0,729.0')] ).
cnf(737,plain,
equal(op1(e12,e11),e11),
inference(mrr,[status(thm)],[736,1]),
[iquote('0:MRR:736.0,1.0')] ).
cnf(742,plain,
( equal(op1(e10,e11),e13)
| equal(e13,e10)
| equal(e13,e11)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[680,323,737,525]),
[iquote('0:Rew:680.0,323.3,737.0,323.2,525.0,323.1')] ).
cnf(743,plain,
equal(op1(e10,e11),e13),
inference(mrr,[status(thm)],[742,3,5,6]),
[iquote('0:MRR:742.1,742.2,742.3,3.0,5.0,6.0')] ).
cnf(747,plain,
( equal(op1(e11,e10),e11)
| equal(e11,e10)
| equal(e12,e11)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[717,328,696,525]),
[iquote('0:Rew:717.0,328.3,696.0,328.2,525.0,328.1')] ).
cnf(748,plain,
equal(op1(e11,e10),e11),
inference(mrr,[status(thm)],[747,1,4,5]),
[iquote('0:MRR:747.1,747.2,747.3,1.0,4.0,5.0')] ).
cnf(760,plain,
( ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ skC30
| ~ skC31
| ~ skC32 ),
inference(rew,[status(thm),theory(equality)],[459,359,371,582,535,390,31,413,391,597,680,604,687,619,702,34,33,657,737,652,731,635,717,613,696,450,525,669,748,627,710,641,723,664,743,473,541]),
[iquote('0:Rew:459.0,359.16,371.0,359.16,582.0,359.16,535.0,359.16,390.0,359.15,371.0,359.15,31.0,359.15,413.0,359.15,391.0,359.15,597.0,359.14,371.0,359.14,582.0,359.14,31.0,359.14,680.0,359.14,604.0,359.13,413.0,359.13,371.0,359.13,687.0,359.13,619.0,359.12,371.0,359.12,31.0,359.12,702.0,359.12,34.0,359.11,31.0,359.11,371.0,359.11,33.0,359.11,657.0,359.10,31.0,359.10,582.0,359.10,737.0,359.10,652.0,359.9,31.0,359.9,413.0,359.9,731.0,359.9,635.0,359.8,582.0,359.8,371.0,359.8,717.0,359.8,613.0,359.7,582.0,359.7,31.0,359.7,696.0,359.7,450.0,359.6,582.0,359.6,413.0,359.6,525.0,359.6,669.0,359.5,413.0,359.5,582.0,359.5,748.0,359.5,627.0,359.4,371.0,359.4,413.0,359.4,710.0,359.4,641.0,359.3,413.0,359.3,31.0,359.3,582.0,359.3,723.0,359.3,664.0,359.2,413.0,359.2,582.0,359.2,371.0,359.2,743.0,359.2,473.0,359.1,413.0,359.1,31.0,359.1,541.0,359.1,371.0,359.0')] ).
cnf(761,plain,
( ~ skC30
| ~ skC31
| ~ skC32 ),
inference(obv,[status(thm),theory(equality)],[760]),
[iquote('0:Obv:760.16')] ).
cnf(762,plain,
$false,
inference(mrr,[status(thm)],[761,416,584,377]),
[iquote('0:MRR:761.0,761.1,761.2,416.0,584.0,377.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 07:03:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51
% 0.18/0.51 SPASS V 3.9
% 0.18/0.51 SPASS beiseite: Proof found.
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 SPASS derived 159 clauses, backtracked 0 clauses, performed 0 splits and kept 291 clauses.
% 0.18/0.51 SPASS allocated 86200 KBytes.
% 0.18/0.51 SPASS spent 0:00:00.17 on the problem.
% 0.18/0.51 0:00:00.04 for the input.
% 0.18/0.51 0:00:00.08 for the FLOTTER CNF translation.
% 0.18/0.51 0:00:00.00 for inferences.
% 0.18/0.51 0:00:00.00 for the backtracking.
% 0.18/0.51 0:00:00.02 for the reduction.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 Here is a proof with depth 0, length 260 :
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.52 Formulae used in the proof : ax7 ax8 ax16 ax12 ax13 co1 ax14 ax15 ax17 ax10 ax11 ax5 ax6 ax4 ax2
% 0.18/0.52
%------------------------------------------------------------------------------