TSTP Solution File: ALG111+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 18:02:29 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 86
% Syntax : Number of clauses : 237 ( 127 unt; 91 nHn; 237 RR)
% Number of literals : 494 ( 0 equ; 134 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 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('ALG111+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG111+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG111+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e12,e11),
file('ALG111+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e13,e11),
file('ALG111+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e12),
file('ALG111+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e21,e20),
file('ALG111+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e22,e20),
file('ALG111+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e23,e20),
file('ALG111+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e22,e21),
file('ALG111+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e23,e21),
file('ALG111+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e23,e22),
file('ALG111+1.p',unknown),
[] ).
cnf(32,axiom,
equal(h4(e13),e23),
file('ALG111+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op1(e13,e13),e11),
file('ALG111+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op2(e23,e23),e21),
file('ALG111+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ equal(h4(e10),e20)
| skC9 ),
file('ALG111+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ equal(h4(e11),e21)
| skC10 ),
file('ALG111+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ equal(h4(e12),e22)
| skC11 ),
file('ALG111+1.p',unknown),
[] ).
cnf(83,axiom,
~ equal(op1(e10,e10),e10),
file('ALG111+1.p',unknown),
[] ).
cnf(84,axiom,
~ equal(op1(e11,e11),e11),
file('ALG111+1.p',unknown),
[] ).
cnf(85,axiom,
~ equal(op1(e12,e12),e12),
file('ALG111+1.p',unknown),
[] ).
cnf(87,axiom,
~ equal(op2(e20,e20),e20),
file('ALG111+1.p',unknown),
[] ).
cnf(88,axiom,
~ equal(op2(e21,e21),e21),
file('ALG111+1.p',unknown),
[] ).
cnf(89,axiom,
~ equal(op2(e22,e22),e22),
file('ALG111+1.p',unknown),
[] ).
cnf(91,axiom,
equal(op2(e20,e20),h1(e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(92,axiom,
equal(op2(e21,e21),h2(e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(93,axiom,
equal(op2(e22,e22),h3(e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(94,axiom,
equal(op2(e23,e23),h4(e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(95,axiom,
equal(op1(e13,op1(e13,e13)),e10),
file('ALG111+1.p',unknown),
[] ).
cnf(96,axiom,
equal(op2(e23,op2(e23,e23)),e20),
file('ALG111+1.p',unknown),
[] ).
cnf(104,axiom,
~ equal(op1(e12,e11),op1(e10,e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(124,axiom,
~ equal(op1(e10,e12),op1(e10,e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(125,axiom,
~ equal(op1(e10,e13),op1(e10,e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(126,axiom,
~ equal(op1(e10,e13),op1(e10,e12)),
file('ALG111+1.p',unknown),
[] ).
cnf(128,axiom,
~ equal(op1(e11,e12),op1(e11,e10)),
file('ALG111+1.p',unknown),
[] ).
cnf(130,axiom,
~ equal(op1(e11,e12),op1(e11,e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(131,axiom,
~ equal(op1(e11,e13),op1(e11,e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(132,axiom,
~ equal(op1(e11,e13),op1(e11,e12)),
file('ALG111+1.p',unknown),
[] ).
cnf(138,axiom,
~ equal(op1(e12,e13),op1(e12,e12)),
file('ALG111+1.p',unknown),
[] ).
cnf(142,axiom,
~ equal(op1(e13,e12),op1(e13,e11)),
file('ALG111+1.p',unknown),
[] ).
cnf(152,axiom,
~ equal(op2(e22,e21),op2(e20,e21)),
file('ALG111+1.p',unknown),
[] ).
cnf(156,axiom,
~ equal(op2(e23,e21),op2(e22,e21)),
file('ALG111+1.p',unknown),
[] ).
cnf(172,axiom,
~ equal(op2(e20,e22),op2(e20,e21)),
file('ALG111+1.p',unknown),
[] ).
cnf(173,axiom,
~ equal(op2(e20,e23),op2(e20,e21)),
file('ALG111+1.p',unknown),
[] ).
cnf(174,axiom,
~ equal(op2(e20,e23),op2(e20,e22)),
file('ALG111+1.p',unknown),
[] ).
cnf(176,axiom,
~ equal(op2(e21,e22),op2(e21,e20)),
file('ALG111+1.p',unknown),
[] ).
cnf(178,axiom,
~ equal(op2(e21,e22),op2(e21,e21)),
file('ALG111+1.p',unknown),
[] ).
cnf(180,axiom,
~ equal(op2(e21,e23),op2(e21,e22)),
file('ALG111+1.p',unknown),
[] ).
cnf(190,axiom,
~ equal(op2(e23,e22),op2(e23,e21)),
file('ALG111+1.p',unknown),
[] ).
cnf(194,axiom,
equal(op2(e21,op2(e21,e21)),h2(e10)),
file('ALG111+1.p',unknown),
[] ).
cnf(196,axiom,
equal(op2(e23,op2(e23,e23)),h4(e10)),
file('ALG111+1.p',unknown),
[] ).
cnf(197,axiom,
equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),e12),
file('ALG111+1.p',unknown),
[] ).
cnf(198,axiom,
equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22),
file('ALG111+1.p',unknown),
[] ).
cnf(206,axiom,
( ~ equal(op1(e10,e13),e10)
| ~ equal(op1(e11,e11),e13) ),
file('ALG111+1.p',unknown),
[] ).
cnf(224,axiom,
( ~ equal(op1(e12,e13),e12)
| ~ equal(op1(e11,e11),e13) ),
file('ALG111+1.p',unknown),
[] ).
cnf(254,axiom,
( ~ equal(op2(e22,e20),e22)
| ~ equal(op2(e22,e22),e20) ),
file('ALG111+1.p',unknown),
[] ).
cnf(260,axiom,
( ~ equal(op2(e22,e23),e22)
| ~ equal(op2(e21,e21),e23) ),
file('ALG111+1.p',unknown),
[] ).
cnf(272,axiom,
equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),h2(e12)),
file('ALG111+1.p',unknown),
[] ).
cnf(274,axiom,
equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),h4(e12)),
file('ALG111+1.p',unknown),
[] ).
cnf(275,axiom,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e22,e23),e23)
| equal(op2(e23,e23),e23) ),
file('ALG111+1.p',unknown),
[] ).
cnf(276,axiom,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23)
| equal(op2(e23,e22),e23)
| equal(op2(e23,e23),e23) ),
file('ALG111+1.p',unknown),
[] ).
cnf(277,axiom,
( equal(op2(e20,e23),e22)
| equal(op2(e21,e23),e22)
| equal(op2(e22,e23),e22)
| equal(op2(e23,e23),e22) ),
file('ALG111+1.p',unknown),
[] ).
cnf(283,axiom,
( equal(op2(e20,e22),e23)
| equal(op2(e21,e22),e23)
| equal(op2(e22,e22),e23)
| equal(op2(e23,e22),e23) ),
file('ALG111+1.p',unknown),
[] ).
cnf(285,axiom,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e23,e22),e22) ),
file('ALG111+1.p',unknown),
[] ).
cnf(286,axiom,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e21),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e22,e23),e22) ),
file('ALG111+1.p',unknown),
[] ).
cnf(289,axiom,
( equal(op2(e20,e22),e20)
| equal(op2(e21,e22),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e23,e22),e20) ),
file('ALG111+1.p',unknown),
[] ).
cnf(290,axiom,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(op2(e22,e22),e20)
| equal(op2(e22,e23),e20) ),
file('ALG111+1.p',unknown),
[] ).
cnf(291,axiom,
( equal(op2(e20,e21),e23)
| equal(op2(e21,e21),e23)
| equal(op2(e22,e21),e23)
| equal(op2(e23,e21),e23) ),
file('ALG111+1.p',unknown),
[] ).
cnf(295,axiom,
( equal(op2(e20,e21),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e23,e21),e21) ),
file('ALG111+1.p',unknown),
[] ).
cnf(296,axiom,
( equal(op2(e21,e20),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e23),e21) ),
file('ALG111+1.p',unknown),
[] ).
cnf(303,axiom,
( equal(op2(e20,e20),e21)
| equal(op2(e21,e20),e21)
| equal(op2(e22,e20),e21)
| equal(op2(e23,e20),e21) ),
file('ALG111+1.p',unknown),
[] ).
cnf(305,axiom,
( equal(op2(e20,e20),e20)
| equal(op2(e21,e20),e20)
| equal(op2(e22,e20),e20)
| equal(op2(e23,e20),e20) ),
file('ALG111+1.p',unknown),
[] ).
cnf(323,axiom,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(op1(e13,e13),e13) ),
file('ALG111+1.p',unknown),
[] ).
cnf(324,axiom,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e11),e13)
| equal(op1(e13,e12),e13)
| equal(op1(e13,e13),e13) ),
file('ALG111+1.p',unknown),
[] ).
cnf(325,axiom,
( equal(op1(e10,e13),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12)
| equal(op1(e13,e13),e12) ),
file('ALG111+1.p',unknown),
[] ).
cnf(329,axiom,
( equal(op1(e10,e13),e10)
| equal(op1(e11,e13),e10)
| equal(op1(e12,e13),e10)
| equal(op1(e13,e13),e10) ),
file('ALG111+1.p',unknown),
[] ).
cnf(331,axiom,
( equal(op1(e10,e12),e13)
| equal(op1(e11,e12),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e13,e12),e13) ),
file('ALG111+1.p',unknown),
[] ).
cnf(333,axiom,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12) ),
file('ALG111+1.p',unknown),
[] ).
cnf(334,axiom,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e11),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e12,e13),e12) ),
file('ALG111+1.p',unknown),
[] ).
cnf(337,axiom,
( equal(op1(e10,e12),e10)
| equal(op1(e11,e12),e10)
| equal(op1(e12,e12),e10)
| equal(op1(e13,e12),e10) ),
file('ALG111+1.p',unknown),
[] ).
cnf(339,axiom,
( equal(op1(e10,e11),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e13,e11),e13) ),
file('ALG111+1.p',unknown),
[] ).
cnf(343,axiom,
( equal(op1(e10,e11),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e13,e11),e11) ),
file('ALG111+1.p',unknown),
[] ).
cnf(344,axiom,
( equal(op1(e11,e10),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e13),e11) ),
file('ALG111+1.p',unknown),
[] ).
cnf(351,axiom,
( equal(op1(e10,e10),e11)
| equal(op1(e11,e10),e11)
| equal(op1(e12,e10),e11)
| equal(op1(e13,e10),e11) ),
file('ALG111+1.p',unknown),
[] ).
cnf(353,axiom,
( equal(op1(e10,e10),e10)
| equal(op1(e11,e10),e10)
| equal(op1(e12,e10),e10)
| equal(op1(e13,e10),e10) ),
file('ALG111+1.p',unknown),
[] ).
cnf(371,axiom,
( ~ equal(h4(e13),e23)
| ~ equal(op2(h4(e10),h4(e10)),h4(op1(e10,e10)))
| ~ equal(op2(h4(e10),h4(e11)),h4(op1(e10,e11)))
| ~ equal(op2(h4(e10),h4(e12)),h4(op1(e10,e12)))
| ~ equal(op2(h4(e10),h4(e13)),h4(op1(e10,e13)))
| ~ equal(op2(h4(e11),h4(e10)),h4(op1(e11,e10)))
| ~ equal(op2(h4(e11),h4(e11)),h4(op1(e11,e11)))
| ~ equal(op2(h4(e11),h4(e12)),h4(op1(e11,e12)))
| ~ equal(op2(h4(e11),h4(e13)),h4(op1(e11,e13)))
| ~ equal(op2(h4(e12),h4(e10)),h4(op1(e12,e10)))
| ~ equal(op2(h4(e12),h4(e11)),h4(op1(e12,e11)))
| ~ equal(op2(h4(e12),h4(e12)),h4(op1(e12,e12)))
| ~ equal(op2(h4(e12),h4(e13)),h4(op1(e12,e13)))
| ~ equal(op2(h4(e13),h4(e10)),h4(op1(e13,e10)))
| ~ equal(op2(h4(e13),h4(e11)),h4(op1(e13,e11)))
| ~ equal(op2(h4(e13),h4(e12)),h4(op1(e13,e12)))
| ~ equal(op2(h4(e13),h4(e13)),h4(op1(e13,e13)))
| ~ skC9
| ~ skC10
| ~ skC11 ),
file('ALG111+1.p',unknown),
[] ).
cnf(387,plain,
equal(h4(e11),e21),
inference(rew,[status(thm),theory(equality)],[34,94]),
[iquote('0:Rew:34.0,94.0')] ).
cnf(389,plain,
~ equal(h3(e11),e22),
inference(rew,[status(thm),theory(equality)],[93,89]),
[iquote('0:Rew:93.0,89.0')] ).
cnf(390,plain,
~ equal(h2(e11),e21),
inference(rew,[status(thm),theory(equality)],[92,88]),
[iquote('0:Rew:92.0,88.0')] ).
cnf(391,plain,
~ equal(h1(e11),e20),
inference(rew,[status(thm),theory(equality)],[91,87]),
[iquote('0:Rew:91.0,87.0')] ).
cnf(396,plain,
( ~ equal(e21,e21)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[387,76]),
[iquote('0:Rew:387.0,76.0')] ).
cnf(397,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[396]),
[iquote('0:Obv:396.0')] ).
cnf(412,plain,
equal(op2(e23,e21),e20),
inference(rew,[status(thm),theory(equality)],[34,96]),
[iquote('0:Rew:34.0,96.0')] ).
cnf(413,plain,
equal(op1(e13,e11),e10),
inference(rew,[status(thm),theory(equality)],[33,95]),
[iquote('0:Rew:33.0,95.0')] ).
cnf(414,plain,
equal(h4(e10),e20),
inference(rew,[status(thm),theory(equality)],[412,196,34]),
[iquote('0:Rew:412.0,196.0,34.0,196.0')] ).
cnf(416,plain,
( ~ equal(e20,e20)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[414,71]),
[iquote('0:Rew:414.0,71.0')] ).
cnf(417,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[416]),
[iquote('0:Obv:416.0')] ).
cnf(419,plain,
equal(op2(e21,h2(e11)),h2(e10)),
inference(rew,[status(thm),theory(equality)],[92,194]),
[iquote('0:Rew:92.0,194.0')] ).
cnf(423,plain,
~ equal(op2(e23,e22),e20),
inference(rew,[status(thm),theory(equality)],[412,190]),
[iquote('0:Rew:412.0,190.0')] ).
cnf(430,plain,
~ equal(op2(e21,e22),h2(e11)),
inference(rew,[status(thm),theory(equality)],[92,178]),
[iquote('0:Rew:92.0,178.0')] ).
cnf(441,plain,
~ equal(op2(e22,e21),e20),
inference(rew,[status(thm),theory(equality)],[412,156]),
[iquote('0:Rew:412.0,156.0')] ).
cnf(451,plain,
~ equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[413,142]),
[iquote('0:Rew:413.0,142.0')] ).
cnf(460,plain,
equal(op2(e20,e21),e22),
inference(rew,[status(thm),theory(equality)],[412,198,34]),
[iquote('0:Rew:412.0,198.0,34.0,198.0')] ).
cnf(461,plain,
~ equal(op2(e20,e23),e22),
inference(rew,[status(thm),theory(equality)],[460,173]),
[iquote('0:Rew:460.0,173.0')] ).
cnf(462,plain,
~ equal(op2(e20,e22),e22),
inference(rew,[status(thm),theory(equality)],[460,172]),
[iquote('0:Rew:460.0,172.0')] ).
cnf(465,plain,
~ equal(op2(e22,e21),e22),
inference(rew,[status(thm),theory(equality)],[460,152]),
[iquote('0:Rew:460.0,152.0')] ).
cnf(467,plain,
equal(op1(e10,e11),e12),
inference(rew,[status(thm),theory(equality)],[413,197,33]),
[iquote('0:Rew:413.0,197.0,33.0,197.0')] ).
cnf(468,plain,
~ equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[467,125]),
[iquote('0:Rew:467.0,125.0')] ).
cnf(469,plain,
~ equal(op1(e10,e12),e12),
inference(rew,[status(thm),theory(equality)],[467,124]),
[iquote('0:Rew:467.0,124.0')] ).
cnf(472,plain,
~ equal(op1(e12,e11),e12),
inference(rew,[status(thm),theory(equality)],[467,104]),
[iquote('0:Rew:467.0,104.0')] ).
cnf(474,plain,
equal(h4(e12),e22),
inference(rew,[status(thm),theory(equality)],[460,274,412,34]),
[iquote('0:Rew:460.0,274.0,412.0,274.0,34.0,274.0')] ).
cnf(475,plain,
( ~ equal(e22,e22)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[474,81]),
[iquote('0:Rew:474.0,81.0')] ).
cnf(476,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[475]),
[iquote('0:Obv:475.0')] ).
cnf(478,plain,
equal(op2(h2(e10),h2(e11)),h2(e12)),
inference(rew,[status(thm),theory(equality)],[419,272,92]),
[iquote('0:Rew:419.0,272.0,92.0,272.0')] ).
cnf(491,plain,
( ~ equal(op2(e22,e23),e22)
| ~ equal(h2(e11),e23) ),
inference(rew,[status(thm),theory(equality)],[92,260]),
[iquote('0:Rew:92.0,260.1')] ).
cnf(494,plain,
( ~ equal(op2(e22,e20),e22)
| ~ equal(h3(e11),e20) ),
inference(rew,[status(thm),theory(equality)],[93,254]),
[iquote('0:Rew:93.0,254.1')] ).
cnf(526,plain,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e22,e23),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[34,275]),
[iquote('0:Rew:34.0,275.3')] ).
cnf(527,plain,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e22,e23),e23) ),
inference(mrr,[status(thm)],[526,11]),
[iquote('0:MRR:526.3,11.0')] ).
cnf(528,plain,
( equal(op2(e23,e20),e23)
| equal(e23,e20)
| equal(op2(e23,e22),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[34,276,412]),
[iquote('0:Rew:34.0,276.3,412.0,276.1')] ).
cnf(529,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e22),e23) ),
inference(mrr,[status(thm)],[528,9,11]),
[iquote('0:MRR:528.1,528.3,9.0,11.0')] ).
cnf(530,plain,
( equal(op2(e20,e23),e22)
| equal(op2(e21,e23),e22)
| equal(op2(e22,e23),e22)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[34,277]),
[iquote('0:Rew:34.0,277.3')] ).
cnf(531,plain,
( equal(op2(e21,e23),e22)
| equal(op2(e22,e23),e22) ),
inference(mrr,[status(thm)],[530,461,10]),
[iquote('0:MRR:530.0,530.3,461.0,10.0')] ).
cnf(536,plain,
( equal(op2(e20,e22),e23)
| equal(op2(e21,e22),e23)
| equal(h3(e11),e23)
| equal(op2(e23,e22),e23) ),
inference(rew,[status(thm),theory(equality)],[93,283]),
[iquote('0:Rew:93.0,283.2')] ).
cnf(538,plain,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(h3(e11),e22)
| equal(op2(e23,e22),e22) ),
inference(rew,[status(thm),theory(equality)],[93,285]),
[iquote('0:Rew:93.0,285.2')] ).
cnf(539,plain,
( equal(op2(e21,e22),e22)
| equal(op2(e23,e22),e22) ),
inference(mrr,[status(thm)],[538,462,389]),
[iquote('0:MRR:538.0,538.2,462.0,389.0')] ).
cnf(540,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e21),e22)
| equal(h3(e11),e22)
| equal(op2(e22,e23),e22) ),
inference(rew,[status(thm),theory(equality)],[93,286]),
[iquote('0:Rew:93.0,286.2')] ).
cnf(541,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e23),e22) ),
inference(mrr,[status(thm)],[540,465,389]),
[iquote('0:MRR:540.1,540.2,465.0,389.0')] ).
cnf(546,plain,
( equal(op2(e20,e22),e20)
| equal(op2(e21,e22),e20)
| equal(h3(e11),e20)
| equal(op2(e23,e22),e20) ),
inference(rew,[status(thm),theory(equality)],[93,289]),
[iquote('0:Rew:93.0,289.2')] ).
cnf(547,plain,
( equal(op2(e20,e22),e20)
| equal(op2(e21,e22),e20)
| equal(h3(e11),e20) ),
inference(mrr,[status(thm)],[546,423]),
[iquote('0:MRR:546.3,423.0')] ).
cnf(548,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(h3(e11),e20)
| equal(op2(e22,e23),e20) ),
inference(rew,[status(thm),theory(equality)],[93,290]),
[iquote('0:Rew:93.0,290.2')] ).
cnf(549,plain,
( equal(op2(e22,e20),e20)
| equal(h3(e11),e20)
| equal(op2(e22,e23),e20) ),
inference(mrr,[status(thm)],[548,441]),
[iquote('0:MRR:548.1,441.0')] ).
cnf(550,plain,
( equal(e23,e22)
| equal(h2(e11),e23)
| equal(op2(e22,e21),e23)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[412,291,92,460]),
[iquote('0:Rew:412.0,291.3,92.0,291.1,460.0,291.0')] ).
cnf(551,plain,
( equal(h2(e11),e23)
| equal(op2(e22,e21),e23) ),
inference(mrr,[status(thm)],[550,12,9]),
[iquote('0:MRR:550.0,550.3,12.0,9.0')] ).
cnf(555,plain,
( equal(e22,e21)
| equal(h2(e11),e21)
| equal(op2(e22,e21),e21)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[412,295,92,460]),
[iquote('0:Rew:412.0,295.3,92.0,295.1,460.0,295.0')] ).
cnf(556,plain,
equal(op2(e22,e21),e21),
inference(mrr,[status(thm)],[555,10,390,7]),
[iquote('0:MRR:555.0,555.1,555.3,10.0,390.0,7.0')] ).
cnf(563,plain,
( equal(h2(e11),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[556,551]),
[iquote('0:Rew:556.0,551.1')] ).
cnf(566,plain,
equal(h2(e11),e23),
inference(mrr,[status(thm)],[563,11]),
[iquote('0:MRR:563.1,11.0')] ).
cnf(567,plain,
equal(op2(e21,e21),e23),
inference(rew,[status(thm),theory(equality)],[566,92]),
[iquote('0:Rew:566.0,92.0')] ).
cnf(569,plain,
equal(op2(e21,e23),h2(e10)),
inference(rew,[status(thm),theory(equality)],[566,419]),
[iquote('0:Rew:566.0,419.0')] ).
cnf(571,plain,
~ equal(op2(e21,e22),e23),
inference(rew,[status(thm),theory(equality)],[566,430]),
[iquote('0:Rew:566.0,430.0')] ).
cnf(575,plain,
equal(op2(h2(e10),e23),h2(e12)),
inference(rew,[status(thm),theory(equality)],[566,478]),
[iquote('0:Rew:566.0,478.0')] ).
cnf(577,plain,
( ~ equal(op2(e22,e23),e22)
| ~ equal(e23,e23) ),
inference(rew,[status(thm),theory(equality)],[566,491]),
[iquote('0:Rew:566.0,491.1')] ).
cnf(578,plain,
~ equal(op2(e21,e22),h2(e10)),
inference(rew,[status(thm),theory(equality)],[569,180]),
[iquote('0:Rew:569.0,180.0')] ).
cnf(583,plain,
( equal(op2(e20,e23),e23)
| equal(h2(e10),e23)
| equal(op2(e22,e23),e23) ),
inference(rew,[status(thm),theory(equality)],[569,527]),
[iquote('0:Rew:569.0,527.1')] ).
cnf(585,plain,
( equal(h2(e10),e22)
| equal(op2(e22,e23),e22) ),
inference(rew,[status(thm),theory(equality)],[569,531]),
[iquote('0:Rew:569.0,531.0')] ).
cnf(588,plain,
( equal(op2(e20,e22),e23)
| equal(h3(e11),e23)
| equal(op2(e23,e22),e23) ),
inference(mrr,[status(thm)],[536,571]),
[iquote('0:MRR:536.1,571.0')] ).
cnf(590,plain,
~ equal(op2(e22,e23),e22),
inference(obv,[status(thm),theory(equality)],[577]),
[iquote('0:Obv:577.1')] ).
cnf(591,plain,
equal(op2(e22,e20),e22),
inference(mrr,[status(thm)],[541,590]),
[iquote('0:MRR:541.1,590.0')] ).
cnf(592,plain,
equal(h2(e10),e22),
inference(mrr,[status(thm)],[585,590]),
[iquote('0:MRR:585.1,590.0')] ).
cnf(595,plain,
equal(op2(e21,e23),e22),
inference(rew,[status(thm),theory(equality)],[592,569]),
[iquote('0:Rew:592.0,569.0')] ).
cnf(598,plain,
equal(op2(e22,e23),h2(e12)),
inference(rew,[status(thm),theory(equality)],[592,575]),
[iquote('0:Rew:592.0,575.0')] ).
cnf(599,plain,
~ equal(op2(e21,e22),e22),
inference(rew,[status(thm),theory(equality)],[592,578]),
[iquote('0:Rew:592.0,578.0')] ).
cnf(608,plain,
( ~ equal(e22,e22)
| ~ equal(h3(e11),e20) ),
inference(rew,[status(thm),theory(equality)],[591,494]),
[iquote('0:Rew:591.0,494.0')] ).
cnf(609,plain,
( equal(e22,e20)
| equal(h3(e11),e20)
| equal(op2(e22,e23),e20) ),
inference(rew,[status(thm),theory(equality)],[591,549]),
[iquote('0:Rew:591.0,549.0')] ).
cnf(616,plain,
equal(op2(e23,e22),e22),
inference(mrr,[status(thm)],[539,599]),
[iquote('0:MRR:539.0,599.0')] ).
cnf(623,plain,
( equal(op2(e23,e20),e23)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[616,529]),
[iquote('0:Rew:616.0,529.1')] ).
cnf(626,plain,
equal(op2(e23,e20),e23),
inference(mrr,[status(thm)],[623,12]),
[iquote('0:MRR:623.1,12.0')] ).
cnf(633,plain,
~ equal(h3(e11),e20),
inference(obv,[status(thm),theory(equality)],[608]),
[iquote('0:Obv:608.0')] ).
cnf(634,plain,
( equal(op2(e20,e22),e20)
| equal(op2(e21,e22),e20) ),
inference(mrr,[status(thm)],[547,633]),
[iquote('0:MRR:547.2,633.0')] ).
cnf(636,plain,
( equal(e22,e20)
| equal(h3(e11),e20)
| equal(h2(e12),e20) ),
inference(rew,[status(thm),theory(equality)],[598,609]),
[iquote('0:Rew:598.0,609.2')] ).
cnf(637,plain,
equal(h2(e12),e20),
inference(mrr,[status(thm)],[636,8,633]),
[iquote('0:MRR:636.0,636.1,8.0,633.0')] ).
cnf(639,plain,
equal(op2(e22,e23),e20),
inference(rew,[status(thm),theory(equality)],[637,598]),
[iquote('0:Rew:637.0,598.0')] ).
cnf(645,plain,
( equal(op2(e20,e23),e23)
| equal(e23,e22)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[639,583,592]),
[iquote('0:Rew:639.0,583.2,592.0,583.1')] ).
cnf(646,plain,
equal(op2(e20,e23),e23),
inference(mrr,[status(thm)],[645,12,9]),
[iquote('0:MRR:645.1,645.2,12.0,9.0')] ).
cnf(647,plain,
~ equal(op2(e20,e22),e23),
inference(rew,[status(thm),theory(equality)],[646,174]),
[iquote('0:Rew:646.0,174.0')] ).
cnf(652,plain,
( equal(op2(e20,e22),e23)
| equal(h3(e11),e23)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[616,588]),
[iquote('0:Rew:616.0,588.2')] ).
cnf(653,plain,
equal(h3(e11),e23),
inference(mrr,[status(thm)],[652,647,12]),
[iquote('0:MRR:652.0,652.2,647.0,12.0')] ).
cnf(654,plain,
equal(op2(e22,e22),e23),
inference(rew,[status(thm),theory(equality)],[653,93]),
[iquote('0:Rew:653.0,93.0')] ).
cnf(668,plain,
( equal(op2(e21,e20),e21)
| equal(e23,e21)
| equal(op2(e21,e22),e21)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[595,296,567]),
[iquote('0:Rew:595.0,296.3,567.0,296.1')] ).
cnf(669,plain,
( equal(op2(e21,e20),e21)
| equal(op2(e21,e22),e21) ),
inference(mrr,[status(thm)],[668,11,10]),
[iquote('0:MRR:668.1,668.3,11.0,10.0')] ).
cnf(672,plain,
( equal(h1(e11),e21)
| equal(op2(e21,e20),e21)
| equal(e22,e21)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[626,303,591,91]),
[iquote('0:Rew:626.0,303.3,591.0,303.2,91.0,303.0')] ).
cnf(673,plain,
( equal(h1(e11),e21)
| equal(op2(e21,e20),e21) ),
inference(mrr,[status(thm)],[672,10,11]),
[iquote('0:MRR:672.2,672.3,10.0,11.0')] ).
cnf(676,plain,
( equal(h1(e11),e20)
| equal(op2(e21,e20),e20)
| equal(e22,e20)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[626,305,591,91]),
[iquote('0:Rew:626.0,305.3,591.0,305.2,91.0,305.0')] ).
cnf(677,plain,
equal(op2(e21,e20),e20),
inference(mrr,[status(thm)],[676,391,8,9]),
[iquote('0:MRR:676.0,676.2,676.3,391.0,8.0,9.0')] ).
cnf(678,plain,
~ equal(op2(e21,e22),e20),
inference(rew,[status(thm),theory(equality)],[677,176]),
[iquote('0:Rew:677.0,176.0')] ).
cnf(682,plain,
( equal(h1(e11),e21)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[677,673]),
[iquote('0:Rew:677.0,673.1')] ).
cnf(683,plain,
( equal(e21,e20)
| equal(op2(e21,e22),e21) ),
inference(rew,[status(thm),theory(equality)],[677,669]),
[iquote('0:Rew:677.0,669.0')] ).
cnf(684,plain,
equal(op2(e20,e22),e20),
inference(mrr,[status(thm)],[634,678]),
[iquote('0:MRR:634.1,678.0')] ).
cnf(691,plain,
equal(h1(e11),e21),
inference(mrr,[status(thm)],[682,7]),
[iquote('0:MRR:682.1,7.0')] ).
cnf(692,plain,
equal(op2(e20,e20),e21),
inference(rew,[status(thm),theory(equality)],[691,91]),
[iquote('0:Rew:691.0,91.0')] ).
cnf(704,plain,
equal(op2(e21,e22),e21),
inference(mrr,[status(thm)],[683,7]),
[iquote('0:MRR:683.0,7.0')] ).
cnf(708,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)],[33,323]),
[iquote('0:Rew:33.0,323.3')] ).
cnf(709,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13) ),
inference(mrr,[status(thm)],[708,5]),
[iquote('0:MRR:708.3,5.0')] ).
cnf(710,plain,
( equal(op1(e13,e10),e13)
| equal(e13,e10)
| equal(op1(e13,e12),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[33,324,413]),
[iquote('0:Rew:33.0,324.3,413.0,324.1')] ).
cnf(711,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e12),e13) ),
inference(mrr,[status(thm)],[710,3,5]),
[iquote('0:MRR:710.1,710.3,3.0,5.0')] ).
cnf(712,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)],[33,325]),
[iquote('0:Rew:33.0,325.3')] ).
cnf(713,plain,
( equal(op1(e11,e13),e12)
| equal(op1(e12,e13),e12) ),
inference(mrr,[status(thm)],[712,468,4]),
[iquote('0:MRR:712.0,712.3,468.0,4.0')] ).
cnf(716,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)],[33,329]),
[iquote('0:Rew:33.0,329.3')] ).
cnf(717,plain,
( equal(op1(e10,e13),e10)
| equal(op1(e11,e13),e10)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[716,1]),
[iquote('0:MRR:716.3,1.0')] ).
cnf(718,plain,
( equal(op1(e11,e12),e12)
| equal(op1(e13,e12),e12) ),
inference(mrr,[status(thm)],[333,469,85]),
[iquote('0:MRR:333.0,333.2,469.0,85.0')] ).
cnf(719,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e13),e12) ),
inference(mrr,[status(thm)],[334,472,85]),
[iquote('0:MRR:334.1,334.2,472.0,85.0')] ).
cnf(722,plain,
( equal(op1(e10,e12),e10)
| equal(op1(e11,e12),e10)
| equal(op1(e12,e12),e10) ),
inference(mrr,[status(thm)],[337,451]),
[iquote('0:MRR:337.3,451.0')] ).
cnf(724,plain,
( equal(e13,e12)
| equal(op1(e11,e11),e13)
| equal(op1(e12,e11),e13)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[413,339,467]),
[iquote('0:Rew:413.0,339.3,467.0,339.0')] ).
cnf(725,plain,
( equal(op1(e11,e11),e13)
| equal(op1(e12,e11),e13) ),
inference(mrr,[status(thm)],[724,6,3]),
[iquote('0:MRR:724.0,724.3,6.0,3.0')] ).
cnf(727,plain,
( equal(e12,e11)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e11),e11)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[413,343,467]),
[iquote('0:Rew:413.0,343.3,467.0,343.0')] ).
cnf(728,plain,
equal(op1(e12,e11),e11),
inference(mrr,[status(thm)],[727,4,84,1]),
[iquote('0:MRR:727.0,727.1,727.3,4.0,84.0,1.0')] ).
cnf(735,plain,
( equal(op1(e11,e11),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[728,725]),
[iquote('0:Rew:728.0,725.1')] ).
cnf(738,plain,
equal(op1(e11,e11),e13),
inference(mrr,[status(thm)],[735,5]),
[iquote('0:MRR:735.1,5.0')] ).
cnf(740,plain,
~ equal(op1(e11,e13),e13),
inference(rew,[status(thm),theory(equality)],[738,131]),
[iquote('0:Rew:738.0,131.0')] ).
cnf(741,plain,
~ equal(op1(e11,e12),e13),
inference(rew,[status(thm),theory(equality)],[738,130]),
[iquote('0:Rew:738.0,130.0')] ).
cnf(745,plain,
( ~ equal(op1(e10,e13),e10)
| ~ equal(e13,e13) ),
inference(rew,[status(thm),theory(equality)],[738,206]),
[iquote('0:Rew:738.0,206.1')] ).
cnf(746,plain,
( ~ equal(op1(e12,e13),e12)
| ~ equal(e13,e13) ),
inference(rew,[status(thm),theory(equality)],[738,224]),
[iquote('0:Rew:738.0,224.1')] ).
cnf(747,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e12,e13),e13) ),
inference(mrr,[status(thm)],[709,740]),
[iquote('0:MRR:709.1,740.0')] ).
cnf(748,plain,
( equal(op1(e10,e12),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e13,e12),e13) ),
inference(mrr,[status(thm)],[331,741]),
[iquote('0:MRR:331.1,741.0')] ).
cnf(749,plain,
~ equal(op1(e10,e13),e10),
inference(obv,[status(thm),theory(equality)],[745]),
[iquote('0:Obv:745.1')] ).
cnf(750,plain,
( equal(op1(e11,e13),e10)
| equal(op1(e12,e13),e10) ),
inference(mrr,[status(thm)],[717,749]),
[iquote('0:MRR:717.0,749.0')] ).
cnf(751,plain,
~ equal(op1(e12,e13),e12),
inference(obv,[status(thm),theory(equality)],[746]),
[iquote('0:Obv:746.1')] ).
cnf(752,plain,
equal(op1(e11,e13),e12),
inference(mrr,[status(thm)],[713,751]),
[iquote('0:MRR:713.1,751.0')] ).
cnf(753,plain,
equal(op1(e12,e10),e12),
inference(mrr,[status(thm)],[719,751]),
[iquote('0:MRR:719.1,751.0')] ).
cnf(754,plain,
~ equal(op1(e11,e12),e12),
inference(rew,[status(thm),theory(equality)],[752,132]),
[iquote('0:Rew:752.0,132.0')] ).
cnf(768,plain,
equal(op1(e13,e12),e12),
inference(mrr,[status(thm)],[718,754]),
[iquote('0:MRR:718.0,754.0')] ).
cnf(775,plain,
( equal(op1(e13,e10),e13)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[768,711]),
[iquote('0:Rew:768.0,711.1')] ).
cnf(776,plain,
equal(op1(e13,e10),e13),
inference(mrr,[status(thm)],[775,6]),
[iquote('0:MRR:775.1,6.0')] ).
cnf(783,plain,
( equal(e12,e10)
| equal(op1(e12,e13),e10) ),
inference(rew,[status(thm),theory(equality)],[752,750]),
[iquote('0:Rew:752.0,750.0')] ).
cnf(784,plain,
equal(op1(e12,e13),e10),
inference(mrr,[status(thm)],[783,2]),
[iquote('0:MRR:783.0,2.0')] ).
cnf(785,plain,
~ equal(op1(e12,e12),e10),
inference(rew,[status(thm),theory(equality)],[784,138]),
[iquote('0:Rew:784.0,138.0')] ).
cnf(789,plain,
( equal(op1(e10,e13),e13)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[784,747]),
[iquote('0:Rew:784.0,747.1')] ).
cnf(790,plain,
( equal(op1(e10,e12),e10)
| equal(op1(e11,e12),e10) ),
inference(mrr,[status(thm)],[722,785]),
[iquote('0:MRR:722.2,785.0')] ).
cnf(791,plain,
equal(op1(e10,e13),e13),
inference(mrr,[status(thm)],[789,3]),
[iquote('0:MRR:789.1,3.0')] ).
cnf(792,plain,
~ equal(op1(e10,e12),e13),
inference(rew,[status(thm),theory(equality)],[791,126]),
[iquote('0:Rew:791.0,126.0')] ).
cnf(799,plain,
( equal(op1(e10,e12),e13)
| equal(op1(e12,e12),e13)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[768,748]),
[iquote('0:Rew:768.0,748.2')] ).
cnf(800,plain,
equal(op1(e12,e12),e13),
inference(mrr,[status(thm)],[799,792,6]),
[iquote('0:MRR:799.0,799.2,792.0,6.0')] ).
cnf(806,plain,
( equal(op1(e11,e10),e11)
| equal(e13,e11)
| equal(op1(e11,e12),e11)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[752,344,738]),
[iquote('0:Rew:752.0,344.3,738.0,344.1')] ).
cnf(807,plain,
( equal(op1(e11,e10),e11)
| equal(op1(e11,e12),e11) ),
inference(mrr,[status(thm)],[806,5,4]),
[iquote('0:MRR:806.1,806.3,5.0,4.0')] ).
cnf(810,plain,
( equal(op1(e10,e10),e11)
| equal(op1(e11,e10),e11)
| equal(e12,e11)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[776,351,753]),
[iquote('0:Rew:776.0,351.3,753.0,351.2')] ).
cnf(811,plain,
( equal(op1(e10,e10),e11)
| equal(op1(e11,e10),e11) ),
inference(mrr,[status(thm)],[810,4,5]),
[iquote('0:MRR:810.2,810.3,4.0,5.0')] ).
cnf(814,plain,
( equal(op1(e10,e10),e10)
| equal(op1(e11,e10),e10)
| equal(e12,e10)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[776,353,753]),
[iquote('0:Rew:776.0,353.3,753.0,353.2')] ).
cnf(815,plain,
equal(op1(e11,e10),e10),
inference(mrr,[status(thm)],[814,83,2,3]),
[iquote('0:MRR:814.0,814.2,814.3,83.0,2.0,3.0')] ).
cnf(816,plain,
~ equal(op1(e11,e12),e10),
inference(rew,[status(thm),theory(equality)],[815,128]),
[iquote('0:Rew:815.0,128.0')] ).
cnf(820,plain,
( equal(op1(e10,e10),e11)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[815,811]),
[iquote('0:Rew:815.0,811.1')] ).
cnf(821,plain,
( equal(e11,e10)
| equal(op1(e11,e12),e11) ),
inference(rew,[status(thm),theory(equality)],[815,807]),
[iquote('0:Rew:815.0,807.0')] ).
cnf(822,plain,
equal(op1(e10,e12),e10),
inference(mrr,[status(thm)],[790,816]),
[iquote('0:MRR:790.1,816.0')] ).
cnf(829,plain,
equal(op1(e10,e10),e11),
inference(mrr,[status(thm)],[820,1]),
[iquote('0:MRR:820.1,1.0')] ).
cnf(833,plain,
equal(op1(e11,e12),e11),
inference(mrr,[status(thm)],[821,1]),
[iquote('0:MRR:821.0,1.0')] ).
cnf(837,plain,
( ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e20,e20)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ skC9
| ~ skC10
| ~ skC11 ),
inference(rew,[status(thm),theory(equality)],[34,371,32,387,33,616,474,768,412,414,413,626,776,639,784,654,800,556,728,591,753,595,752,704,833,567,738,677,815,646,791,684,822,460,467,692,829]),
[iquote('0:Rew:34.0,371.16,32.0,371.16,387.0,371.16,33.0,371.16,616.0,371.15,32.0,371.15,474.0,371.15,768.0,371.15,412.0,371.14,32.0,371.14,387.0,371.14,414.0,371.14,413.0,371.14,626.0,371.13,414.0,371.13,32.0,371.13,776.0,371.13,639.0,371.12,474.0,371.12,32.0,371.12,414.0,371.12,784.0,371.12,654.0,371.11,474.0,371.11,32.0,371.11,800.0,371.11,556.0,371.10,474.0,371.10,387.0,371.10,728.0,371.10,591.0,371.9,414.0,371.9,474.0,371.9,753.0,371.9,595.0,371.8,387.0,371.8,32.0,371.8,474.0,371.8,752.0,371.8,704.0,371.7,474.0,371.7,387.0,371.7,833.0,371.7,567.0,371.6,387.0,371.6,32.0,371.6,738.0,371.6,677.0,371.5,387.0,371.5,414.0,371.5,815.0,371.5,646.0,371.4,414.0,371.4,32.0,371.4,791.0,371.4,684.0,371.3,474.0,371.3,414.0,371.3,822.0,371.3,460.0,371.2,414.0,371.2,387.0,371.2,474.0,371.2,467.0,371.2,692.0,371.1,414.0,371.1,387.0,371.1,829.0,371.1,32.0,371.0')] ).
cnf(838,plain,
( ~ skC9
| ~ skC10
| ~ skC11 ),
inference(obv,[status(thm),theory(equality)],[837]),
[iquote('0:Obv:837.16')] ).
cnf(839,plain,
$false,
inference(mrr,[status(thm)],[838,417,397,476]),
[iquote('0:MRR:838.0,838.1,838.2,417.0,397.0,476.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 9 02:21:51 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 215 clauses, backtracked 0 clauses, performed 0 splits and kept 334 clauses.
% 0.19/0.52 SPASS allocated 86359 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.18 on the problem.
% 0.19/0.52 0:00:00.04 for the input.
% 0.19/0.52 0:00:00.09 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.00 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.02 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 0, length 237 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : ax7 ax8 ax17 ax12 ax13 co1 ax10 ax11 ax14 ax15 ax16 ax5 ax6 ax4 ax2
% 0.19/0.52
%------------------------------------------------------------------------------