TSTP Solution File: ALG117+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG117+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 18:02:31 EDT 2022
% Result : Theorem 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 91
% Syntax : Number of clauses : 240 ( 116 unt; 76 nHn; 240 RR)
% Number of literals : 507 ( 0 equ; 145 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('ALG117+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG117+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG117+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e12,e11),
file('ALG117+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e13,e11),
file('ALG117+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e12),
file('ALG117+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e21,e20),
file('ALG117+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e22,e20),
file('ALG117+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e23,e20),
file('ALG117+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e22,e21),
file('ALG117+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e23,e21),
file('ALG117+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e23,e22),
file('ALG117+1.p',unknown),
[] ).
cnf(32,axiom,
equal(h4(e13),e23),
file('ALG117+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op1(e13,e13),e12),
file('ALG117+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op2(e23,e23),e22),
file('ALG117+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ equal(h4(e10),e20)
| skC33 ),
file('ALG117+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ equal(h4(e11),e21)
| skC34 ),
file('ALG117+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ equal(h4(e12),e22)
| skC35 ),
file('ALG117+1.p',unknown),
[] ).
cnf(83,axiom,
equal(op2(e20,e20),h1(e12)),
file('ALG117+1.p',unknown),
[] ).
cnf(84,axiom,
equal(op2(e21,e21),h2(e12)),
file('ALG117+1.p',unknown),
[] ).
cnf(85,axiom,
equal(op2(e22,e22),h3(e12)),
file('ALG117+1.p',unknown),
[] ).
cnf(86,axiom,
equal(op2(e23,e23),h4(e12)),
file('ALG117+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ skC0
| equal(op1(e10,e10),e10) ),
file('ALG117+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ skC1
| equal(op1(e11,e11),e10) ),
file('ALG117+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ skC2
| equal(op1(e12,e12),e10) ),
file('ALG117+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ skC3
| equal(op1(e10,e10),e11) ),
file('ALG117+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ skC4
| equal(op1(e11,e11),e11) ),
file('ALG117+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ skC5
| equal(op1(e12,e12),e11) ),
file('ALG117+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ skC9
| equal(op1(e10,e10),e13) ),
file('ALG117+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ skC10
| equal(op1(e11,e11),e13) ),
file('ALG117+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ skC11
| equal(op1(e12,e12),e13) ),
file('ALG117+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ skC12
| equal(op2(e20,e20),e20) ),
file('ALG117+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ skC13
| equal(op2(e21,e21),e20) ),
file('ALG117+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ skC14
| equal(op2(e22,e22),e20) ),
file('ALG117+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ skC15
| equal(op2(e20,e20),e21) ),
file('ALG117+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ skC16
| equal(op2(e21,e21),e21) ),
file('ALG117+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ skC17
| equal(op2(e22,e22),e21) ),
file('ALG117+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ skC21
| equal(op2(e20,e20),e23) ),
file('ALG117+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ skC22
| equal(op2(e21,e21),e23) ),
file('ALG117+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ skC23
| equal(op2(e22,e22),e23) ),
file('ALG117+1.p',unknown),
[] ).
cnf(111,axiom,
equal(op1(e13,op1(e13,e13)),e10),
file('ALG117+1.p',unknown),
[] ).
cnf(112,axiom,
equal(op1(op1(e13,e13),e13),e11),
file('ALG117+1.p',unknown),
[] ).
cnf(113,axiom,
equal(op2(e23,op2(e23,e23)),e20),
file('ALG117+1.p',unknown),
[] ).
cnf(114,axiom,
equal(op2(op2(e23,e23),e23),e21),
file('ALG117+1.p',unknown),
[] ).
cnf(117,axiom,
~ equal(op1(e13,e10),op1(e10,e10)),
file('ALG117+1.p',unknown),
[] ).
cnf(124,axiom,
~ equal(op1(e12,e11),op1(e11,e11)),
file('ALG117+1.p',unknown),
[] ).
cnf(132,axiom,
~ equal(op1(e13,e12),op1(e12,e12)),
file('ALG117+1.p',unknown),
[] ).
cnf(140,axiom,
~ equal(op1(e10,e12),op1(e10,e10)),
file('ALG117+1.p',unknown),
[] ).
cnf(149,axiom,
~ equal(op1(e11,e13),op1(e11,e11)),
file('ALG117+1.p',unknown),
[] ).
cnf(156,axiom,
~ equal(op1(e12,e13),op1(e12,e12)),
file('ALG117+1.p',unknown),
[] ).
cnf(165,axiom,
~ equal(op2(e23,e20),op2(e20,e20)),
file('ALG117+1.p',unknown),
[] ).
cnf(172,axiom,
~ equal(op2(e22,e21),op2(e21,e21)),
file('ALG117+1.p',unknown),
[] ).
cnf(180,axiom,
~ equal(op2(e23,e22),op2(e22,e22)),
file('ALG117+1.p',unknown),
[] ).
cnf(188,axiom,
~ equal(op2(e20,e22),op2(e20,e20)),
file('ALG117+1.p',unknown),
[] ).
cnf(197,axiom,
~ equal(op2(e21,e23),op2(e21,e21)),
file('ALG117+1.p',unknown),
[] ).
cnf(204,axiom,
~ equal(op2(e22,e23),op2(e22,e22)),
file('ALG117+1.p',unknown),
[] ).
cnf(211,axiom,
( equal(op1(e13,e13),e10)
| skC0
| skC1
| skC2 ),
file('ALG117+1.p',unknown),
[] ).
cnf(212,axiom,
( equal(op1(e13,e13),e11)
| skC3
| skC4
| skC5 ),
file('ALG117+1.p',unknown),
[] ).
cnf(214,axiom,
( equal(op1(e13,e13),e13)
| skC9
| skC10
| skC11 ),
file('ALG117+1.p',unknown),
[] ).
cnf(215,axiom,
( ~ equal(op1(e10,e10),e10)
| ~ skC0 ),
file('ALG117+1.p',unknown),
[] ).
cnf(219,axiom,
( ~ equal(op1(e11,e11),e11)
| ~ skC4 ),
file('ALG117+1.p',unknown),
[] ).
cnf(227,axiom,
( equal(op2(e23,e23),e20)
| skC12
| skC13
| skC14 ),
file('ALG117+1.p',unknown),
[] ).
cnf(228,axiom,
( equal(op2(e23,e23),e21)
| skC15
| skC16
| skC17 ),
file('ALG117+1.p',unknown),
[] ).
cnf(230,axiom,
( equal(op2(e23,e23),e23)
| skC21
| skC22
| skC23 ),
file('ALG117+1.p',unknown),
[] ).
cnf(231,axiom,
( ~ equal(op2(e20,e20),e20)
| ~ skC12 ),
file('ALG117+1.p',unknown),
[] ).
cnf(235,axiom,
( ~ equal(op2(e21,e21),e21)
| ~ skC16 ),
file('ALG117+1.p',unknown),
[] ).
cnf(243,axiom,
equal(op2(e20,op2(e20,e20)),h1(e10)),
file('ALG117+1.p',unknown),
[] ).
cnf(244,axiom,
equal(op2(op2(e20,e20),e20),h1(e11)),
file('ALG117+1.p',unknown),
[] ).
cnf(249,axiom,
equal(op2(e23,op2(e23,e23)),h4(e10)),
file('ALG117+1.p',unknown),
[] ).
cnf(250,axiom,
equal(op2(op2(e23,e23),e23),h4(e11)),
file('ALG117+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('ALG117+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('ALG117+1.p',unknown),
[] ).
cnf(264,axiom,
( equal(op2(e23,e20),e21)
| equal(op2(e23,e21),e21)
| equal(op2(e23,e22),e21)
| equal(op2(e23,e23),e21) ),
file('ALG117+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('ALG117+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('ALG117+1.p',unknown),
[] ).
cnf(270,axiom,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e21),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e22,e23),e22) ),
file('ALG117+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('ALG117+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('ALG117+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('ALG117+1.p',unknown),
[] ).
cnf(278,axiom,
( equal(op2(e21,e20),e22)
| equal(op2(e21,e21),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e21,e23),e22) ),
file('ALG117+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('ALG117+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('ALG117+1.p',unknown),
[] ).
cnf(312,axiom,
( equal(op1(e13,e10),e11)
| equal(op1(e13,e11),e11)
| equal(op1(e13,e12),e11)
| equal(op1(e13,e13),e11) ),
file('ALG117+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('ALG117+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('ALG117+1.p',unknown),
[] ).
cnf(318,axiom,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e11),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e12,e13),e12) ),
file('ALG117+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('ALG117+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('ALG117+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('ALG117+1.p',unknown),
[] ).
cnf(326,axiom,
( equal(op1(e11,e10),e12)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e11,e13),e12) ),
file('ALG117+1.p',unknown),
[] ).
cnf(355,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)))
| ~ skC33
| ~ skC34
| ~ skC35 ),
file('ALG117+1.p',unknown),
[] ).
cnf(371,plain,
equal(h4(e12),e22),
inference(rew,[status(thm),theory(equality)],[34,86]),
[iquote('0:Rew:34.0,86.0')] ).
cnf(373,plain,
( ~ equal(e22,e22)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[371,81]),
[iquote('0:Rew:371.0,81.0')] ).
cnf(374,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[373]),
[iquote('0:Obv:373.0')] ).
cnf(391,plain,
equal(op2(e22,e23),e21),
inference(rew,[status(thm),theory(equality)],[34,114]),
[iquote('0:Rew:34.0,114.0')] ).
cnf(392,plain,
equal(op2(e23,e22),e20),
inference(rew,[status(thm),theory(equality)],[34,113]),
[iquote('0:Rew:34.0,113.0')] ).
cnf(393,plain,
equal(op1(e12,e13),e11),
inference(rew,[status(thm),theory(equality)],[33,112]),
[iquote('0:Rew:33.0,112.0')] ).
cnf(394,plain,
equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[33,111]),
[iquote('0:Rew:33.0,111.0')] ).
cnf(395,plain,
( ~ skC23
| equal(h3(e12),e23) ),
inference(rew,[status(thm),theory(equality)],[85,110]),
[iquote('0:Rew:85.0,110.1')] ).
cnf(396,plain,
( ~ skC22
| equal(h2(e12),e23) ),
inference(rew,[status(thm),theory(equality)],[84,109]),
[iquote('0:Rew:84.0,109.1')] ).
cnf(397,plain,
( ~ skC21
| equal(h1(e12),e23) ),
inference(rew,[status(thm),theory(equality)],[83,108]),
[iquote('0:Rew:83.0,108.1')] ).
cnf(401,plain,
( ~ skC17
| equal(h3(e12),e21) ),
inference(rew,[status(thm),theory(equality)],[85,104]),
[iquote('0:Rew:85.0,104.1')] ).
cnf(402,plain,
( ~ skC16
| equal(h2(e12),e21) ),
inference(rew,[status(thm),theory(equality)],[84,103]),
[iquote('0:Rew:84.0,103.1')] ).
cnf(403,plain,
( ~ skC15
| equal(h1(e12),e21) ),
inference(rew,[status(thm),theory(equality)],[83,102]),
[iquote('0:Rew:83.0,102.1')] ).
cnf(404,plain,
( ~ skC14
| equal(h3(e12),e20) ),
inference(rew,[status(thm),theory(equality)],[85,101]),
[iquote('0:Rew:85.0,101.1')] ).
cnf(405,plain,
( ~ skC13
| equal(h2(e12),e20) ),
inference(rew,[status(thm),theory(equality)],[84,100]),
[iquote('0:Rew:84.0,100.1')] ).
cnf(406,plain,
( ~ skC12
| equal(h1(e12),e20) ),
inference(rew,[status(thm),theory(equality)],[83,99]),
[iquote('0:Rew:83.0,99.1')] ).
cnf(407,plain,
equal(h4(e11),e21),
inference(rew,[status(thm),theory(equality)],[391,250,34]),
[iquote('0:Rew:391.0,250.0,34.0,250.0')] ).
cnf(408,plain,
( ~ equal(e21,e21)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[407,76]),
[iquote('0:Rew:407.0,76.0')] ).
cnf(410,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[408]),
[iquote('0:Obv:408.0')] ).
cnf(411,plain,
equal(h4(e10),e20),
inference(rew,[status(thm),theory(equality)],[392,249,34]),
[iquote('0:Rew:392.0,249.0,34.0,249.0')] ).
cnf(412,plain,
( ~ equal(e20,e20)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[411,71]),
[iquote('0:Rew:411.0,71.0')] ).
cnf(413,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[412]),
[iquote('0:Obv:412.0')] ).
cnf(418,plain,
equal(op2(h1(e12),e20),h1(e11)),
inference(rew,[status(thm),theory(equality)],[83,244]),
[iquote('0:Rew:83.0,244.0')] ).
cnf(419,plain,
equal(op2(e20,h1(e12)),h1(e10)),
inference(rew,[status(thm),theory(equality)],[83,243]),
[iquote('0:Rew:83.0,243.0')] ).
cnf(423,plain,
( ~ equal(e21,e21)
| ~ skC16 ),
inference(rew,[status(thm),theory(equality)],[402,235,84]),
[iquote('0:Rew:402.1,235.0,84.0,235.0')] ).
cnf(424,plain,
~ skC16,
inference(obv,[status(thm),theory(equality)],[423]),
[iquote('0:Obv:423.0')] ).
cnf(425,plain,
( ~ equal(e20,e20)
| ~ skC12 ),
inference(rew,[status(thm),theory(equality)],[406,231,83]),
[iquote('0:Rew:406.1,231.0,83.0,231.0')] ).
cnf(426,plain,
~ skC12,
inference(obv,[status(thm),theory(equality)],[425]),
[iquote('0:Obv:425.0')] ).
cnf(427,plain,
( equal(e23,e22)
| skC21
| skC22
| skC23 ),
inference(rew,[status(thm),theory(equality)],[34,230]),
[iquote('0:Rew:34.0,230.0')] ).
cnf(428,plain,
( skC21
| skC22
| skC23 ),
inference(mrr,[status(thm)],[427,12]),
[iquote('0:MRR:427.0,12.0')] ).
cnf(429,plain,
( equal(e22,e21)
| skC15
| skC16
| skC17 ),
inference(rew,[status(thm),theory(equality)],[34,228]),
[iquote('0:Rew:34.0,228.0')] ).
cnf(430,plain,
( skC15
| skC17 ),
inference(mrr,[status(thm)],[429,10,424]),
[iquote('0:MRR:429.0,429.2,10.0,424.0')] ).
cnf(431,plain,
( equal(e22,e20)
| skC12
| skC13
| skC14 ),
inference(rew,[status(thm),theory(equality)],[34,227]),
[iquote('0:Rew:34.0,227.0')] ).
cnf(432,plain,
( skC13
| skC14 ),
inference(mrr,[status(thm)],[431,8,426]),
[iquote('0:MRR:431.0,431.1,8.0,426.0')] ).
cnf(436,plain,
( ~ equal(e11,e11)
| ~ skC4 ),
inference(rew,[status(thm),theory(equality)],[91,219]),
[iquote('0:Rew:91.1,219.0')] ).
cnf(437,plain,
~ skC4,
inference(obv,[status(thm),theory(equality)],[436]),
[iquote('0:Obv:436.0')] ).
cnf(438,plain,
( ~ equal(e10,e10)
| ~ skC0 ),
inference(rew,[status(thm),theory(equality)],[87,215]),
[iquote('0:Rew:87.1,215.0')] ).
cnf(439,plain,
~ skC0,
inference(obv,[status(thm),theory(equality)],[438]),
[iquote('0:Obv:438.0')] ).
cnf(440,plain,
( equal(e13,e12)
| skC9
| skC10
| skC11 ),
inference(rew,[status(thm),theory(equality)],[33,214]),
[iquote('0:Rew:33.0,214.0')] ).
cnf(441,plain,
( skC9
| skC10
| skC11 ),
inference(mrr,[status(thm)],[440,6]),
[iquote('0:MRR:440.0,6.0')] ).
cnf(442,plain,
( equal(e12,e11)
| skC3
| skC4
| skC5 ),
inference(rew,[status(thm),theory(equality)],[33,212]),
[iquote('0:Rew:33.0,212.0')] ).
cnf(443,plain,
( skC3
| skC5 ),
inference(mrr,[status(thm)],[442,4,437]),
[iquote('0:MRR:442.0,442.2,4.0,437.0')] ).
cnf(444,plain,
( equal(e12,e10)
| skC0
| skC1
| skC2 ),
inference(rew,[status(thm),theory(equality)],[33,211]),
[iquote('0:Rew:33.0,211.0')] ).
cnf(445,plain,
( skC1
| skC2 ),
inference(mrr,[status(thm)],[444,2,439]),
[iquote('0:MRR:444.0,444.1,2.0,439.0')] ).
cnf(451,plain,
~ equal(h3(e12),e21),
inference(rew,[status(thm),theory(equality)],[391,204,85]),
[iquote('0:Rew:391.0,204.0,85.0,204.0')] ).
cnf(452,plain,
~ skC17,
inference(mrr,[status(thm)],[401,451]),
[iquote('0:MRR:401.1,451.0')] ).
cnf(453,plain,
skC15,
inference(mrr,[status(thm)],[430,452]),
[iquote('0:MRR:430.1,452.0')] ).
cnf(454,plain,
equal(h1(e12),e21),
inference(mrr,[status(thm)],[403,453]),
[iquote('0:MRR:403.0,453.0')] ).
cnf(456,plain,
equal(op2(e20,e20),e21),
inference(rew,[status(thm),theory(equality)],[454,83]),
[iquote('0:Rew:454.0,83.0')] ).
cnf(460,plain,
( ~ skC21
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[454,397]),
[iquote('0:Rew:454.0,397.1')] ).
cnf(461,plain,
equal(op2(e21,e20),h1(e11)),
inference(rew,[status(thm),theory(equality)],[454,418]),
[iquote('0:Rew:454.0,418.0')] ).
cnf(462,plain,
equal(op2(e20,e21),h1(e10)),
inference(rew,[status(thm),theory(equality)],[454,419]),
[iquote('0:Rew:454.0,419.0')] ).
cnf(465,plain,
~ skC21,
inference(mrr,[status(thm)],[460,11]),
[iquote('0:MRR:460.1,11.0')] ).
cnf(466,plain,
( skC22
| skC23 ),
inference(mrr,[status(thm)],[428,465]),
[iquote('0:MRR:428.0,465.0')] ).
cnf(473,plain,
~ equal(op2(e21,e23),h2(e12)),
inference(rew,[status(thm),theory(equality)],[84,197]),
[iquote('0:Rew:84.0,197.0')] ).
cnf(481,plain,
~ equal(op2(e20,e22),e21),
inference(rew,[status(thm),theory(equality)],[456,188]),
[iquote('0:Rew:456.0,188.0')] ).
cnf(488,plain,
~ equal(h3(e12),e20),
inference(rew,[status(thm),theory(equality)],[392,180,85]),
[iquote('0:Rew:392.0,180.0,85.0,180.0')] ).
cnf(489,plain,
~ skC14,
inference(mrr,[status(thm)],[404,488]),
[iquote('0:MRR:404.1,488.0')] ).
cnf(490,plain,
skC13,
inference(mrr,[status(thm)],[432,489]),
[iquote('0:MRR:432.1,489.0')] ).
cnf(491,plain,
equal(h2(e12),e20),
inference(mrr,[status(thm)],[405,490]),
[iquote('0:MRR:405.0,490.0')] ).
cnf(493,plain,
equal(op2(e21,e21),e20),
inference(rew,[status(thm),theory(equality)],[491,84]),
[iquote('0:Rew:491.0,84.0')] ).
cnf(497,plain,
( ~ skC22
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[491,396]),
[iquote('0:Rew:491.0,396.1')] ).
cnf(500,plain,
~ equal(op2(e21,e23),e20),
inference(rew,[status(thm),theory(equality)],[491,473]),
[iquote('0:Rew:491.0,473.0')] ).
cnf(505,plain,
~ skC22,
inference(mrr,[status(thm)],[497,9]),
[iquote('0:MRR:497.1,9.0')] ).
cnf(506,plain,
skC23,
inference(mrr,[status(thm)],[466,505]),
[iquote('0:MRR:466.0,505.0')] ).
cnf(507,plain,
equal(h3(e12),e23),
inference(mrr,[status(thm)],[395,506]),
[iquote('0:MRR:395.0,506.0')] ).
cnf(508,plain,
equal(op2(e22,e22),e23),
inference(rew,[status(thm),theory(equality)],[507,85]),
[iquote('0:Rew:507.0,85.0')] ).
cnf(531,plain,
~ equal(op2(e22,e21),e20),
inference(rew,[status(thm),theory(equality)],[493,172]),
[iquote('0:Rew:493.0,172.0')] ).
cnf(537,plain,
~ equal(op2(e23,e20),e21),
inference(rew,[status(thm),theory(equality)],[456,165]),
[iquote('0:Rew:456.0,165.0')] ).
cnf(545,plain,
~ equal(op1(e12,e12),e11),
inference(rew,[status(thm),theory(equality)],[393,156]),
[iquote('0:Rew:393.0,156.0')] ).
cnf(546,plain,
~ skC5,
inference(mrr,[status(thm)],[92,545]),
[iquote('0:MRR:92.1,545.0')] ).
cnf(547,plain,
skC3,
inference(mrr,[status(thm)],[443,546]),
[iquote('0:MRR:443.1,546.0')] ).
cnf(548,plain,
equal(op1(e10,e10),e11),
inference(mrr,[status(thm)],[90,547]),
[iquote('0:MRR:90.0,547.0')] ).
cnf(550,plain,
( ~ skC9
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[548,96]),
[iquote('0:Rew:548.0,96.1')] ).
cnf(552,plain,
~ skC9,
inference(mrr,[status(thm)],[550,5]),
[iquote('0:MRR:550.1,5.0')] ).
cnf(553,plain,
( skC10
| skC11 ),
inference(mrr,[status(thm)],[441,552]),
[iquote('0:MRR:441.0,552.0')] ).
cnf(558,plain,
~ equal(op1(e10,e12),e11),
inference(rew,[status(thm),theory(equality)],[548,140]),
[iquote('0:Rew:548.0,140.0')] ).
cnf(565,plain,
~ equal(op1(e12,e12),e10),
inference(rew,[status(thm),theory(equality)],[394,132]),
[iquote('0:Rew:394.0,132.0')] ).
cnf(566,plain,
~ skC2,
inference(mrr,[status(thm)],[89,565]),
[iquote('0:MRR:89.1,565.0')] ).
cnf(567,plain,
skC1,
inference(mrr,[status(thm)],[445,566]),
[iquote('0:MRR:445.1,566.0')] ).
cnf(568,plain,
equal(op1(e11,e11),e10),
inference(mrr,[status(thm)],[88,567]),
[iquote('0:MRR:88.0,567.0')] ).
cnf(570,plain,
( ~ skC10
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[568,97]),
[iquote('0:Rew:568.0,97.1')] ).
cnf(572,plain,
~ equal(op1(e11,e13),e10),
inference(rew,[status(thm),theory(equality)],[568,149]),
[iquote('0:Rew:568.0,149.0')] ).
cnf(575,plain,
~ skC10,
inference(mrr,[status(thm)],[570,3]),
[iquote('0:MRR:570.1,3.0')] ).
cnf(576,plain,
skC11,
inference(mrr,[status(thm)],[553,575]),
[iquote('0:MRR:553.0,575.0')] ).
cnf(577,plain,
equal(op1(e12,e12),e13),
inference(mrr,[status(thm)],[98,576]),
[iquote('0:MRR:98.0,576.0')] ).
cnf(588,plain,
~ equal(op1(e12,e11),e10),
inference(rew,[status(thm),theory(equality)],[568,124]),
[iquote('0:Rew:568.0,124.0')] ).
cnf(590,plain,
~ equal(op1(e13,e10),e11),
inference(rew,[status(thm),theory(equality)],[548,117]),
[iquote('0:Rew:548.0,117.0')] ).
cnf(595,plain,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(e23,e21)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[34,259,391]),
[iquote('0:Rew:34.0,259.3,391.0,259.2')] ).
cnf(596,plain,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23) ),
inference(mrr,[status(thm)],[595,11,12]),
[iquote('0:MRR:595.2,595.3,11.0,12.0')] ).
cnf(597,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23)
| equal(e23,e20)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[34,260,392]),
[iquote('0:Rew:34.0,260.3,392.0,260.2')] ).
cnf(598,plain,
( equal(op2(e23,e20),e23)
| equal(op2(e23,e21),e23) ),
inference(mrr,[status(thm)],[597,9,12]),
[iquote('0:MRR:597.2,597.3,9.0,12.0')] ).
cnf(599,plain,
( equal(op2(e23,e20),e21)
| equal(op2(e23,e21),e21)
| equal(e21,e20)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[34,264,392]),
[iquote('0:Rew:34.0,264.3,392.0,264.2')] ).
cnf(600,plain,
equal(op2(e23,e21),e21),
inference(mrr,[status(thm)],[599,537,7,10]),
[iquote('0:MRR:599.0,599.2,599.3,537.0,7.0,10.0')] ).
cnf(606,plain,
( equal(op2(e23,e20),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[600,598]),
[iquote('0:Rew:600.0,598.1')] ).
cnf(607,plain,
equal(op2(e23,e20),e23),
inference(mrr,[status(thm)],[606,11]),
[iquote('0:MRR:606.1,11.0')] ).
cnf(613,plain,
( equal(op2(e20,e23),e20)
| equal(op2(e21,e23),e20)
| equal(e21,e20)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[34,265,391]),
[iquote('0:Rew:34.0,265.3,391.0,265.2')] ).
cnf(614,plain,
equal(op2(e20,e23),e20),
inference(mrr,[status(thm)],[613,500,7,8]),
[iquote('0:MRR:613.1,613.2,613.3,500.0,7.0,8.0')] ).
cnf(620,plain,
( equal(e23,e20)
| equal(op2(e21,e23),e23) ),
inference(rew,[status(thm),theory(equality)],[614,596]),
[iquote('0:Rew:614.0,596.0')] ).
cnf(621,plain,
equal(op2(e21,e23),e23),
inference(mrr,[status(thm)],[620,9]),
[iquote('0:MRR:620.0,9.0')] ).
cnf(627,plain,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(e23,e22)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[392,269,508]),
[iquote('0:Rew:392.0,269.3,508.0,269.2')] ).
cnf(628,plain,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22) ),
inference(mrr,[status(thm)],[627,12,8]),
[iquote('0:MRR:627.2,627.3,12.0,8.0')] ).
cnf(629,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e21),e22)
| equal(e23,e22)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[391,270,508]),
[iquote('0:Rew:391.0,270.3,508.0,270.2')] ).
cnf(630,plain,
( equal(op2(e22,e20),e22)
| equal(op2(e22,e21),e22) ),
inference(mrr,[status(thm)],[629,12,10]),
[iquote('0:MRR:629.2,629.3,12.0,10.0')] ).
cnf(631,plain,
( equal(op2(e20,e22),e21)
| equal(op2(e21,e22),e21)
| equal(e23,e21)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[392,271,508]),
[iquote('0:Rew:392.0,271.3,508.0,271.2')] ).
cnf(632,plain,
equal(op2(e21,e22),e21),
inference(mrr,[status(thm)],[631,481,11,7]),
[iquote('0:MRR:631.0,631.2,631.3,481.0,11.0,7.0')] ).
cnf(637,plain,
( equal(op2(e20,e22),e22)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[632,628]),
[iquote('0:Rew:632.0,628.1')] ).
cnf(638,plain,
equal(op2(e20,e22),e22),
inference(mrr,[status(thm)],[637,10]),
[iquote('0:MRR:637.1,10.0')] ).
cnf(643,plain,
( equal(op2(e22,e20),e20)
| equal(op2(e22,e21),e20)
| equal(e23,e20)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[391,274,508]),
[iquote('0:Rew:391.0,274.3,508.0,274.2')] ).
cnf(644,plain,
equal(op2(e22,e20),e20),
inference(mrr,[status(thm)],[643,531,9,7]),
[iquote('0:MRR:643.1,643.2,643.3,531.0,9.0,7.0')] ).
cnf(649,plain,
( equal(e22,e20)
| equal(op2(e22,e21),e22) ),
inference(rew,[status(thm),theory(equality)],[644,630]),
[iquote('0:Rew:644.0,630.0')] ).
cnf(650,plain,
equal(op2(e22,e21),e22),
inference(mrr,[status(thm)],[649,8]),
[iquote('0:MRR:649.0,8.0')] ).
cnf(655,plain,
( equal(h1(e10),e23)
| equal(e23,e20)
| equal(e23,e22)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[600,275,650,493,462]),
[iquote('0:Rew:600.0,275.3,650.0,275.2,493.0,275.1,462.0,275.0')] ).
cnf(656,plain,
equal(h1(e10),e23),
inference(mrr,[status(thm)],[655,9,12,11]),
[iquote('0:MRR:655.1,655.2,655.3,9.0,12.0,11.0')] ).
cnf(657,plain,
equal(op2(e20,e21),e23),
inference(rew,[status(thm),theory(equality)],[656,462]),
[iquote('0:Rew:656.0,462.0')] ).
cnf(662,plain,
( equal(h1(e11),e22)
| equal(e22,e20)
| equal(e22,e21)
| equal(e23,e22) ),
inference(rew,[status(thm),theory(equality)],[621,278,632,493,461]),
[iquote('0:Rew:621.0,278.3,632.0,278.2,493.0,278.1,461.0,278.0')] ).
cnf(663,plain,
equal(h1(e11),e22),
inference(mrr,[status(thm)],[662,8,10,12]),
[iquote('0:MRR:662.1,662.2,662.3,8.0,10.0,12.0')] ).
cnf(666,plain,
equal(op2(e21,e20),e22),
inference(rew,[status(thm),theory(equality)],[663,461]),
[iquote('0:Rew:663.0,461.0')] ).
cnf(673,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(e13,e11)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[33,307,393]),
[iquote('0:Rew:33.0,307.3,393.0,307.2')] ).
cnf(674,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13) ),
inference(mrr,[status(thm)],[673,5,6]),
[iquote('0:MRR:673.2,673.3,5.0,6.0')] ).
cnf(675,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e11),e13)
| equal(e13,e10)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[33,308,394]),
[iquote('0:Rew:33.0,308.3,394.0,308.2')] ).
cnf(676,plain,
( equal(op1(e13,e10),e13)
| equal(op1(e13,e11),e13) ),
inference(mrr,[status(thm)],[675,3,6]),
[iquote('0:MRR:675.2,675.3,3.0,6.0')] ).
cnf(677,plain,
( equal(op1(e13,e10),e11)
| equal(op1(e13,e11),e11)
| equal(e11,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[33,312,394]),
[iquote('0:Rew:33.0,312.3,394.0,312.2')] ).
cnf(678,plain,
equal(op1(e13,e11),e11),
inference(mrr,[status(thm)],[677,590,1,4]),
[iquote('0:MRR:677.0,677.2,677.3,590.0,1.0,4.0')] ).
cnf(684,plain,
( equal(op1(e13,e10),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[678,676]),
[iquote('0:Rew:678.0,676.1')] ).
cnf(685,plain,
equal(op1(e13,e10),e13),
inference(mrr,[status(thm)],[684,5]),
[iquote('0:MRR:684.1,5.0')] ).
cnf(691,plain,
( equal(op1(e10,e13),e10)
| equal(op1(e11,e13),e10)
| equal(e11,e10)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[33,313,393]),
[iquote('0:Rew:33.0,313.3,393.0,313.2')] ).
cnf(692,plain,
equal(op1(e10,e13),e10),
inference(mrr,[status(thm)],[691,572,1,2]),
[iquote('0:MRR:691.1,691.2,691.3,572.0,1.0,2.0')] ).
cnf(698,plain,
( equal(e13,e10)
| equal(op1(e11,e13),e13) ),
inference(rew,[status(thm),theory(equality)],[692,674]),
[iquote('0:Rew:692.0,674.0')] ).
cnf(699,plain,
equal(op1(e11,e13),e13),
inference(mrr,[status(thm)],[698,3]),
[iquote('0:MRR:698.0,3.0')] ).
cnf(705,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(e13,e12)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[394,317,577]),
[iquote('0:Rew:394.0,317.3,577.0,317.2')] ).
cnf(706,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12) ),
inference(mrr,[status(thm)],[705,6,2]),
[iquote('0:MRR:705.2,705.3,6.0,2.0')] ).
cnf(707,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e11),e12)
| equal(e13,e12)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[393,318,577]),
[iquote('0:Rew:393.0,318.3,577.0,318.2')] ).
cnf(708,plain,
( equal(op1(e12,e10),e12)
| equal(op1(e12,e11),e12) ),
inference(mrr,[status(thm)],[707,6,4]),
[iquote('0:MRR:707.2,707.3,6.0,4.0')] ).
cnf(709,plain,
( equal(op1(e10,e12),e11)
| equal(op1(e11,e12),e11)
| equal(e13,e11)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[394,319,577]),
[iquote('0:Rew:394.0,319.3,577.0,319.2')] ).
cnf(710,plain,
equal(op1(e11,e12),e11),
inference(mrr,[status(thm)],[709,558,5,1]),
[iquote('0:MRR:709.0,709.2,709.3,558.0,5.0,1.0')] ).
cnf(715,plain,
( equal(op1(e10,e12),e12)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[710,706]),
[iquote('0:Rew:710.0,706.1')] ).
cnf(716,plain,
equal(op1(e10,e12),e12),
inference(mrr,[status(thm)],[715,4]),
[iquote('0:MRR:715.1,4.0')] ).
cnf(721,plain,
( equal(op1(e12,e10),e10)
| equal(op1(e12,e11),e10)
| equal(e13,e10)
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[393,322,577]),
[iquote('0:Rew:393.0,322.3,577.0,322.2')] ).
cnf(722,plain,
equal(op1(e12,e10),e10),
inference(mrr,[status(thm)],[721,588,3,1]),
[iquote('0:MRR:721.1,721.2,721.3,588.0,3.0,1.0')] ).
cnf(727,plain,
( equal(e12,e10)
| equal(op1(e12,e11),e12) ),
inference(rew,[status(thm),theory(equality)],[722,708]),
[iquote('0:Rew:722.0,708.0')] ).
cnf(728,plain,
equal(op1(e12,e11),e12),
inference(mrr,[status(thm)],[727,2]),
[iquote('0:MRR:727.0,2.0')] ).
cnf(733,plain,
( equal(op1(e10,e11),e13)
| equal(e13,e10)
| equal(e13,e12)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[678,323,728,568]),
[iquote('0:Rew:678.0,323.3,728.0,323.2,568.0,323.1')] ).
cnf(734,plain,
equal(op1(e10,e11),e13),
inference(mrr,[status(thm)],[733,3,6,5]),
[iquote('0:MRR:733.1,733.2,733.3,3.0,6.0,5.0')] ).
cnf(738,plain,
( equal(op1(e11,e10),e12)
| equal(e12,e10)
| equal(e12,e11)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[699,326,710,568]),
[iquote('0:Rew:699.0,326.3,710.0,326.2,568.0,326.1')] ).
cnf(739,plain,
equal(op1(e11,e10),e12),
inference(mrr,[status(thm)],[738,2,4,6]),
[iquote('0:MRR:738.1,738.2,738.3,2.0,4.0,6.0')] ).
cnf(743,plain,
( ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ skC33
| ~ skC34
| ~ skC35 ),
inference(rew,[status(thm),theory(equality)],[34,355,32,371,33,392,411,394,600,407,678,607,685,391,393,508,577,650,728,644,722,621,699,632,710,493,568,666,739,614,692,638,716,657,734,456,548]),
[iquote('0:Rew:34.0,355.16,32.0,355.16,371.0,355.16,33.0,355.16,392.0,355.15,32.0,355.15,371.0,355.15,411.0,355.15,394.0,355.15,600.0,355.14,32.0,355.14,407.0,355.14,678.0,355.14,607.0,355.13,411.0,355.13,32.0,355.13,685.0,355.13,391.0,355.12,371.0,355.12,32.0,355.12,407.0,355.12,393.0,355.12,508.0,355.11,371.0,355.11,32.0,355.11,577.0,355.11,650.0,355.10,407.0,355.10,371.0,355.10,728.0,355.10,644.0,355.9,371.0,355.9,411.0,355.9,722.0,355.9,621.0,355.8,407.0,355.8,32.0,355.8,699.0,355.8,632.0,355.7,371.0,355.7,407.0,355.7,710.0,355.7,493.0,355.6,407.0,355.6,411.0,355.6,568.0,355.6,666.0,355.5,407.0,355.5,411.0,355.5,371.0,355.5,739.0,355.5,614.0,355.4,32.0,355.4,411.0,355.4,692.0,355.4,638.0,355.3,411.0,355.3,371.0,355.3,716.0,355.3,657.0,355.2,411.0,355.2,407.0,355.2,32.0,355.2,734.0,355.2,456.0,355.1,411.0,355.1,407.0,355.1,548.0,355.1,32.0,355.0')] ).
cnf(744,plain,
( ~ skC33
| ~ skC34
| ~ skC35 ),
inference(obv,[status(thm),theory(equality)],[743]),
[iquote('0:Obv:743.16')] ).
cnf(745,plain,
$false,
inference(mrr,[status(thm)],[744,413,410,374]),
[iquote('0:MRR:744.0,744.1,744.2,413.0,410.0,374.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG117+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.11 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jun 8 15:20:21 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.15/0.45
% 0.15/0.45 SPASS V 3.9
% 0.15/0.45 SPASS beiseite: Proof found.
% 0.15/0.45 % SZS status Theorem
% 0.15/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.45 SPASS derived 165 clauses, backtracked 0 clauses, performed 0 splits and kept 306 clauses.
% 0.15/0.45 SPASS allocated 86197 KBytes.
% 0.15/0.45 SPASS spent 0:00:00.14 on the problem.
% 0.15/0.45 0:00:00.03 for the input.
% 0.15/0.45 0:00:00.06 for the FLOTTER CNF translation.
% 0.15/0.45 0:00:00.00 for inferences.
% 0.15/0.45 0:00:00.00 for the backtracking.
% 0.15/0.45 0:00:00.02 for the reduction.
% 0.15/0.45
% 0.15/0.45
% 0.15/0.45 Here is a proof with depth 0, length 240 :
% 0.15/0.45 % SZS output start Refutation
% See solution above
% 0.15/0.46 Formulae used in the proof : ax7 ax8 ax17 ax12 ax13 co1 ax14 ax15 ax16 ax10 ax11 ax5 ax6 ax4 ax2
% 0.15/0.46
%------------------------------------------------------------------------------