TSTP Solution File: ALG169+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG169+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 18:02:47 EDT 2022
% Result : Theorem 0.96s 1.14s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 101
% Syntax : Number of clauses : 236 ( 205 unt; 20 nHn; 236 RR)
% Number of literals : 385 ( 0 equ; 92 neg)
% Maximal clause size : 30 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e11,e10),
file('ALG169+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG169+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG169+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e14,e10),
file('ALG169+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e12,e11),
file('ALG169+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e11),
file('ALG169+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e14,e11),
file('ALG169+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e13,e12),
file('ALG169+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e14,e12),
file('ALG169+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e14,e13),
file('ALG169+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e21,e20),
file('ALG169+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e22,e20),
file('ALG169+1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(e23,e20),
file('ALG169+1.p',unknown),
[] ).
cnf(14,axiom,
~ equal(e24,e20),
file('ALG169+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(e22,e21),
file('ALG169+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(e23,e21),
file('ALG169+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(e24,e21),
file('ALG169+1.p',unknown),
[] ).
cnf(18,axiom,
~ equal(e23,e22),
file('ALG169+1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(e24,e22),
file('ALG169+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(e23,e24),
file('ALG169+1.p',unknown),
[] ).
cnf(84,axiom,
equal(h20(e11),e24),
file('ALG169+1.p',unknown),
[] ).
cnf(85,axiom,
equal(h20(e13),e23),
file('ALG169+1.p',unknown),
[] ).
cnf(86,axiom,
equal(op1(e13,e11),e10),
file('ALG169+1.p',unknown),
[] ).
cnf(87,axiom,
equal(op2(e23,e21),e20),
file('ALG169+1.p',unknown),
[] ).
cnf(470,axiom,
( ~ equal(h20(e12),e20)
| skC76 ),
file('ALG169+1.p',unknown),
[] ).
cnf(477,axiom,
( ~ equal(h20(e14),e21)
| skC77 ),
file('ALG169+1.p',unknown),
[] ).
cnf(478,axiom,
( ~ equal(h20(e10),e22)
| skC78 ),
file('ALG169+1.p',unknown),
[] ).
cnf(486,axiom,
( ~ equal(h20(e13),e23)
| skC79 ),
file('ALG169+1.p',unknown),
[] ).
cnf(488,axiom,
equal(op2(e21,e20),h1(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(489,axiom,
equal(op2(e22,e20),h2(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(490,axiom,
equal(op2(e23,e20),h3(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(491,axiom,
equal(op2(e24,e20),h4(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(492,axiom,
equal(op2(e20,e21),h5(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(493,axiom,
equal(op2(e22,e21),h6(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(495,axiom,
equal(op2(e24,e21),h8(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(496,axiom,
equal(op2(e20,e22),h9(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(497,axiom,
equal(op2(e21,e22),h10(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(498,axiom,
equal(op2(e23,e22),h11(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(499,axiom,
equal(op2(e24,e22),h12(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(500,axiom,
equal(op2(e20,e23),h13(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(501,axiom,
equal(op2(e21,e23),h14(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(502,axiom,
equal(op2(e22,e23),h15(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(503,axiom,
equal(op2(e24,e23),h16(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(504,axiom,
equal(op2(e20,e24),h17(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(505,axiom,
equal(op2(e21,e24),h18(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(506,axiom,
equal(op2(e22,e24),h19(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(507,axiom,
equal(op2(e23,e24),h20(e10)),
file('ALG169+1.p',unknown),
[] ).
cnf(510,axiom,
equal(op1(op1(e10,e12),e12),e10),
file('ALG169+1.p',unknown),
[] ).
cnf(513,axiom,
equal(op1(op1(e11,e10),e10),e11),
file('ALG169+1.p',unknown),
[] ).
cnf(517,axiom,
equal(op1(op1(e11,e14),e14),e11),
file('ALG169+1.p',unknown),
[] ).
cnf(521,axiom,
equal(op1(op1(e12,e13),e13),e12),
file('ALG169+1.p',unknown),
[] ).
cnf(524,axiom,
equal(op1(op1(e13,e11),e11),e13),
file('ALG169+1.p',unknown),
[] ).
cnf(525,axiom,
equal(op1(op1(e13,e12),e12),e13),
file('ALG169+1.p',unknown),
[] ).
cnf(527,axiom,
equal(op1(op1(e13,e14),e14),e13),
file('ALG169+1.p',unknown),
[] ).
cnf(528,axiom,
equal(op1(op1(e14,e10),e10),e14),
file('ALG169+1.p',unknown),
[] ).
cnf(529,axiom,
equal(op1(op1(e14,e11),e11),e14),
file('ALG169+1.p',unknown),
[] ).
cnf(531,axiom,
equal(op1(op1(e14,e13),e13),e14),
file('ALG169+1.p',unknown),
[] ).
cnf(535,axiom,
equal(op2(op2(e20,e22),e22),e20),
file('ALG169+1.p',unknown),
[] ).
cnf(538,axiom,
equal(op2(op2(e21,e20),e20),e21),
file('ALG169+1.p',unknown),
[] ).
cnf(542,axiom,
equal(op2(op2(e21,e24),e24),e21),
file('ALG169+1.p',unknown),
[] ).
cnf(546,axiom,
equal(op2(op2(e22,e23),e23),e22),
file('ALG169+1.p',unknown),
[] ).
cnf(549,axiom,
equal(op2(op2(e23,e21),e21),e23),
file('ALG169+1.p',unknown),
[] ).
cnf(550,axiom,
equal(op2(op2(e23,e22),e22),e23),
file('ALG169+1.p',unknown),
[] ).
cnf(552,axiom,
equal(op2(op2(e23,e24),e24),e23),
file('ALG169+1.p',unknown),
[] ).
cnf(553,axiom,
equal(op2(op2(e24,e20),e20),e24),
file('ALG169+1.p',unknown),
[] ).
cnf(554,axiom,
equal(op2(op2(e24,e21),e21),e24),
file('ALG169+1.p',unknown),
[] ).
cnf(556,axiom,
equal(op2(op2(e24,e23),e23),e24),
file('ALG169+1.p',unknown),
[] ).
cnf(558,axiom,
equal(op1(e11,op1(e13,e11)),e12),
file('ALG169+1.p',unknown),
[] ).
cnf(559,axiom,
equal(op2(e21,op2(e23,e21)),e22),
file('ALG169+1.p',unknown),
[] ).
cnf(760,axiom,
equal(op2(e20,op2(e21,e20)),h1(e12)),
file('ALG169+1.p',unknown),
[] ).
cnf(764,axiom,
equal(op2(e21,op2(e20,e21)),h5(e12)),
file('ALG169+1.p',unknown),
[] ).
cnf(769,axiom,
equal(op2(e22,op2(e21,e22)),h10(e12)),
file('ALG169+1.p',unknown),
[] ).
cnf(779,axiom,
equal(op2(e24,op2(e23,e24)),h20(e12)),
file('ALG169+1.p',unknown),
[] ).
cnf(781,axiom,
equal(op1(op1(e11,e10),op1(e10,e11)),e10),
file('ALG169+1.p',unknown),
[] ).
cnf(782,axiom,
equal(op1(op1(e12,e10),op1(e10,e12)),e10),
file('ALG169+1.p',unknown),
[] ).
cnf(785,axiom,
equal(op1(op1(e10,e11),op1(e11,e10)),e11),
file('ALG169+1.p',unknown),
[] ).
cnf(787,axiom,
equal(op1(op1(e12,e11),op1(e11,e12)),e11),
file('ALG169+1.p',unknown),
[] ).
cnf(790,axiom,
equal(op1(op1(e10,e12),op1(e12,e10)),e12),
file('ALG169+1.p',unknown),
[] ).
cnf(791,axiom,
equal(op1(op1(e11,e12),op1(e12,e11)),e12),
file('ALG169+1.p',unknown),
[] ).
cnf(796,axiom,
equal(op1(op1(e11,e13),op1(e13,e11)),e13),
file('ALG169+1.p',unknown),
[] ).
cnf(806,axiom,
equal(op2(op2(e21,e20),op2(e20,e21)),e20),
file('ALG169+1.p',unknown),
[] ).
cnf(807,axiom,
equal(op2(op2(e22,e20),op2(e20,e22)),e20),
file('ALG169+1.p',unknown),
[] ).
cnf(810,axiom,
equal(op2(op2(e20,e21),op2(e21,e20)),e21),
file('ALG169+1.p',unknown),
[] ).
cnf(812,axiom,
equal(op2(op2(e22,e21),op2(e21,e22)),e21),
file('ALG169+1.p',unknown),
[] ).
cnf(815,axiom,
equal(op2(op2(e20,e22),op2(e22,e20)),e22),
file('ALG169+1.p',unknown),
[] ).
cnf(816,axiom,
equal(op2(op2(e21,e22),op2(e22,e21)),e22),
file('ALG169+1.p',unknown),
[] ).
cnf(821,axiom,
equal(op2(op2(e21,e23),op2(e23,e21)),e23),
file('ALG169+1.p',unknown),
[] ).
cnf(830,axiom,
equal(op1(op1(e13,e11),op1(e11,op1(e13,e11))),e14),
file('ALG169+1.p',unknown),
[] ).
cnf(831,axiom,
equal(op2(op2(e23,e21),op2(e21,op2(e23,e21))),e24),
file('ALG169+1.p',unknown),
[] ).
cnf(851,axiom,
equal(op2(op2(e23,e24),op2(e24,op2(e23,e24))),h20(e14)),
file('ALG169+1.p',unknown),
[] ).
cnf(852,axiom,
( equal(op2(e20,e24),e24)
| equal(op2(e21,e24),e24)
| equal(op2(e22,e24),e24)
| equal(op2(e23,e24),e24)
| equal(op2(e24,e24),e24) ),
file('ALG169+1.p',unknown),
[] ).
cnf(864,axiom,
( equal(op2(e20,e23),e23)
| equal(op2(e21,e23),e23)
| equal(op2(e22,e23),e23)
| equal(op2(e23,e23),e23)
| equal(op2(e24,e23),e23) ),
file('ALG169+1.p',unknown),
[] ).
cnf(876,axiom,
( equal(op2(e20,e22),e22)
| equal(op2(e21,e22),e22)
| equal(op2(e22,e22),e22)
| equal(op2(e23,e22),e22)
| equal(op2(e24,e22),e22) ),
file('ALG169+1.p',unknown),
[] ).
cnf(888,axiom,
( equal(op2(e20,e21),e21)
| equal(op2(e21,e21),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e23,e21),e21)
| equal(op2(e24,e21),e21) ),
file('ALG169+1.p',unknown),
[] ).
cnf(900,axiom,
( equal(op2(e20,e20),e20)
| equal(op2(e21,e20),e20)
| equal(op2(e22,e20),e20)
| equal(op2(e23,e20),e20)
| equal(op2(e24,e20),e20) ),
file('ALG169+1.p',unknown),
[] ).
cnf(927,axiom,
( equal(op1(e10,e14),e14)
| equal(op1(e11,e14),e14)
| equal(op1(e12,e14),e14)
| equal(op1(e13,e14),e14)
| equal(op1(e14,e14),e14) ),
file('ALG169+1.p',unknown),
[] ).
cnf(939,axiom,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(op1(e13,e13),e13)
| equal(op1(e14,e13),e13) ),
file('ALG169+1.p',unknown),
[] ).
cnf(951,axiom,
( equal(op1(e10,e12),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e12,e12),e12)
| equal(op1(e13,e12),e12)
| equal(op1(e14,e12),e12) ),
file('ALG169+1.p',unknown),
[] ).
cnf(963,axiom,
( equal(op1(e10,e11),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e12,e11),e11)
| equal(op1(e13,e11),e11)
| equal(op1(e14,e11),e11) ),
file('ALG169+1.p',unknown),
[] ).
cnf(975,axiom,
( equal(op1(e10,e10),e10)
| equal(op1(e11,e10),e10)
| equal(op1(e12,e10),e10)
| equal(op1(e13,e10),e10)
| equal(op1(e14,e10),e10) ),
file('ALG169+1.p',unknown),
[] ).
cnf(1005,axiom,
( ~ equal(h20(e11),e24)
| ~ equal(op2(h20(e10),h20(e10)),h20(op1(e10,e10)))
| ~ equal(op2(h20(e10),h20(e11)),h20(op1(e10,e11)))
| ~ equal(op2(h20(e10),h20(e12)),h20(op1(e10,e12)))
| ~ equal(op2(h20(e10),h20(e13)),h20(op1(e10,e13)))
| ~ equal(op2(h20(e10),h20(e14)),h20(op1(e10,e14)))
| ~ equal(op2(h20(e11),h20(e10)),h20(op1(e11,e10)))
| ~ equal(op2(h20(e11),h20(e11)),h20(op1(e11,e11)))
| ~ equal(op2(h20(e11),h20(e12)),h20(op1(e11,e12)))
| ~ equal(op2(h20(e11),h20(e13)),h20(op1(e11,e13)))
| ~ equal(op2(h20(e11),h20(e14)),h20(op1(e11,e14)))
| ~ equal(op2(h20(e12),h20(e10)),h20(op1(e12,e10)))
| ~ equal(op2(h20(e12),h20(e11)),h20(op1(e12,e11)))
| ~ equal(op2(h20(e12),h20(e12)),h20(op1(e12,e12)))
| ~ equal(op2(h20(e12),h20(e13)),h20(op1(e12,e13)))
| ~ equal(op2(h20(e12),h20(e14)),h20(op1(e12,e14)))
| ~ equal(op2(h20(e13),h20(e10)),h20(op1(e13,e10)))
| ~ equal(op2(h20(e13),h20(e11)),h20(op1(e13,e11)))
| ~ equal(op2(h20(e13),h20(e12)),h20(op1(e13,e12)))
| ~ equal(op2(h20(e13),h20(e13)),h20(op1(e13,e13)))
| ~ equal(op2(h20(e13),h20(e14)),h20(op1(e13,e14)))
| ~ equal(op2(h20(e14),h20(e10)),h20(op1(e14,e10)))
| ~ equal(op2(h20(e14),h20(e11)),h20(op1(e14,e11)))
| ~ equal(op2(h20(e14),h20(e12)),h20(op1(e14,e12)))
| ~ equal(op2(h20(e14),h20(e13)),h20(op1(e14,e13)))
| ~ equal(op2(h20(e14),h20(e14)),h20(op1(e14,e14)))
| ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79 ),
file('ALG169+1.p',unknown),
[] ).
cnf(1103,plain,
( ~ equal(e23,e23)
| skC79 ),
inference(rew,[status(thm),theory(equality)],[85,486]),
[iquote('0:Rew:85.0,486.0')] ).
cnf(1104,plain,
skC79,
inference(obv,[status(thm),theory(equality)],[1103]),
[iquote('0:Obv:1103.0')] ).
cnf(1282,plain,
equal(h1(e10),e22),
inference(rew,[status(thm),theory(equality)],[488,559,87]),
[iquote('0:Rew:488.0,559.0,87.0,559.0')] ).
cnf(1283,plain,
equal(op2(e21,e20),e22),
inference(rew,[status(thm),theory(equality)],[1282,488]),
[iquote('0:Rew:1282.0,488.0')] ).
cnf(1287,plain,
equal(op1(e11,e10),e12),
inference(rew,[status(thm),theory(equality)],[86,558]),
[iquote('0:Rew:86.0,558.0')] ).
cnf(1288,plain,
equal(op2(h16(e10),e23),e24),
inference(rew,[status(thm),theory(equality)],[503,556]),
[iquote('0:Rew:503.0,556.0')] ).
cnf(1290,plain,
equal(op2(h8(e10),e21),e24),
inference(rew,[status(thm),theory(equality)],[495,554]),
[iquote('0:Rew:495.0,554.0')] ).
cnf(1291,plain,
equal(op2(h4(e10),e20),e24),
inference(rew,[status(thm),theory(equality)],[491,553]),
[iquote('0:Rew:491.0,553.0')] ).
cnf(1292,plain,
equal(op2(h20(e10),e24),e23),
inference(rew,[status(thm),theory(equality)],[507,552]),
[iquote('0:Rew:507.0,552.0')] ).
cnf(1293,plain,
equal(op2(h11(e10),e22),e23),
inference(rew,[status(thm),theory(equality)],[498,550]),
[iquote('0:Rew:498.0,550.0')] ).
cnf(1294,plain,
equal(h5(e10),e23),
inference(rew,[status(thm),theory(equality)],[492,549,87]),
[iquote('0:Rew:492.0,549.0,87.0,549.0')] ).
cnf(1295,plain,
equal(op2(e20,e21),e23),
inference(rew,[status(thm),theory(equality)],[1294,492]),
[iquote('0:Rew:1294.0,492.0')] ).
cnf(1301,plain,
equal(op2(h15(e10),e23),e22),
inference(rew,[status(thm),theory(equality)],[502,546]),
[iquote('0:Rew:502.0,546.0')] ).
cnf(1304,plain,
equal(op2(h18(e10),e24),e21),
inference(rew,[status(thm),theory(equality)],[505,542]),
[iquote('0:Rew:505.0,542.0')] ).
cnf(1307,plain,
equal(h2(e10),e21),
inference(rew,[status(thm),theory(equality)],[489,538,1283]),
[iquote('0:Rew:489.0,538.0,1283.0,538.0')] ).
cnf(1308,plain,
equal(op2(e22,e20),e21),
inference(rew,[status(thm),theory(equality)],[1307,489]),
[iquote('0:Rew:1307.0,489.0')] ).
cnf(1315,plain,
equal(op2(h9(e10),e22),e20),
inference(rew,[status(thm),theory(equality)],[496,535]),
[iquote('0:Rew:496.0,535.0')] ).
cnf(1317,plain,
equal(op1(e10,e11),e13),
inference(rew,[status(thm),theory(equality)],[86,524]),
[iquote('0:Rew:86.0,524.0')] ).
cnf(1318,plain,
equal(op1(e12,e10),e11),
inference(rew,[status(thm),theory(equality)],[1287,513]),
[iquote('0:Rew:1287.0,513.0')] ).
cnf(1321,plain,
equal(op2(e24,h20(e10)),h20(e12)),
inference(rew,[status(thm),theory(equality)],[507,779]),
[iquote('0:Rew:507.0,779.0')] ).
cnf(1331,plain,
equal(op2(e22,h10(e10)),h10(e12)),
inference(rew,[status(thm),theory(equality)],[497,769]),
[iquote('0:Rew:497.0,769.0')] ).
cnf(1338,plain,
equal(h14(e10),h5(e12)),
inference(rew,[status(thm),theory(equality)],[501,764,1295]),
[iquote('0:Rew:501.0,764.0,1295.0,764.0')] ).
cnf(1339,plain,
equal(op2(e21,e23),h5(e12)),
inference(rew,[status(thm),theory(equality)],[1338,501]),
[iquote('0:Rew:1338.0,501.0')] ).
cnf(1349,plain,
equal(h9(e10),h1(e12)),
inference(rew,[status(thm),theory(equality)],[496,760,1283]),
[iquote('0:Rew:496.0,760.0,1283.0,760.0')] ).
cnf(1350,plain,
equal(op2(e20,e22),h1(e12)),
inference(rew,[status(thm),theory(equality)],[1349,496]),
[iquote('0:Rew:1349.0,496.0')] ).
cnf(1353,plain,
equal(op2(h1(e12),e22),e20),
inference(rew,[status(thm),theory(equality)],[1349,1315]),
[iquote('0:Rew:1349.0,1315.0')] ).
cnf(1491,plain,
equal(op2(h5(e12),e20),e23),
inference(rew,[status(thm),theory(equality)],[1339,821,87]),
[iquote('0:Rew:1339.0,821.0,87.0,821.0')] ).
cnf(1495,plain,
equal(op2(h10(e10),h6(e10)),e22),
inference(rew,[status(thm),theory(equality)],[497,816,493]),
[iquote('0:Rew:497.0,816.0,493.0,816.0')] ).
cnf(1496,plain,
equal(op2(h1(e12),e21),e22),
inference(rew,[status(thm),theory(equality)],[1350,815,1308]),
[iquote('0:Rew:1350.0,815.0,1308.0,815.0')] ).
cnf(1499,plain,
equal(op2(h6(e10),h10(e10)),e21),
inference(rew,[status(thm),theory(equality)],[493,812,497]),
[iquote('0:Rew:493.0,812.0,497.0,812.0')] ).
cnf(1500,plain,
equal(h11(e10),e21),
inference(rew,[status(thm),theory(equality)],[498,810,1295,1283]),
[iquote('0:Rew:498.0,810.0,1295.0,810.0,1283.0,810.0')] ).
cnf(1501,plain,
equal(op2(e23,e22),e21),
inference(rew,[status(thm),theory(equality)],[1500,498]),
[iquote('0:Rew:1500.0,498.0')] ).
cnf(1503,plain,
equal(op2(e21,e22),e23),
inference(rew,[status(thm),theory(equality)],[1500,1293]),
[iquote('0:Rew:1500.0,1293.0')] ).
cnf(1516,plain,
equal(h10(e10),e23),
inference(rew,[status(thm),theory(equality)],[497,1503]),
[iquote('0:Rew:497.0,1503.0')] ).
cnf(1517,plain,
equal(op2(e21,e22),e23),
inference(rew,[status(thm),theory(equality)],[1516,497]),
[iquote('0:Rew:1516.0,497.0')] ).
cnf(1521,plain,
equal(op2(e22,e23),h10(e12)),
inference(rew,[status(thm),theory(equality)],[1516,1331]),
[iquote('0:Rew:1516.0,1331.0')] ).
cnf(1529,plain,
equal(op2(e23,h6(e10)),e22),
inference(rew,[status(thm),theory(equality)],[1516,1495]),
[iquote('0:Rew:1516.0,1495.0')] ).
cnf(1530,plain,
equal(op2(h6(e10),e23),e21),
inference(rew,[status(thm),theory(equality)],[1516,1499]),
[iquote('0:Rew:1516.0,1499.0')] ).
cnf(1535,plain,
equal(h15(e10),h10(e12)),
inference(rew,[status(thm),theory(equality)],[502,1521]),
[iquote('0:Rew:502.0,1521.0')] ).
cnf(1536,plain,
equal(op2(e22,e23),h10(e12)),
inference(rew,[status(thm),theory(equality)],[1535,502]),
[iquote('0:Rew:1535.0,502.0')] ).
cnf(1538,plain,
equal(op2(h10(e12),e23),e22),
inference(rew,[status(thm),theory(equality)],[1535,1301]),
[iquote('0:Rew:1535.0,1301.0')] ).
cnf(1552,plain,
equal(op2(e21,h1(e12)),e20),
inference(rew,[status(thm),theory(equality)],[1308,807,1350]),
[iquote('0:Rew:1308.0,807.0,1350.0,807.0')] ).
cnf(1553,plain,
equal(h10(e12),e20),
inference(rew,[status(thm),theory(equality)],[1536,806,1283,1295]),
[iquote('0:Rew:1536.0,806.0,1283.0,806.0,1295.0,806.0')] ).
cnf(1558,plain,
equal(op2(e22,e23),e20),
inference(rew,[status(thm),theory(equality)],[1553,1536]),
[iquote('0:Rew:1553.0,1536.0')] ).
cnf(1559,plain,
equal(op2(e20,e23),e22),
inference(rew,[status(thm),theory(equality)],[1553,1538]),
[iquote('0:Rew:1553.0,1538.0')] ).
cnf(1572,plain,
equal(h13(e10),e22),
inference(rew,[status(thm),theory(equality)],[500,1559]),
[iquote('0:Rew:500.0,1559.0')] ).
cnf(1573,plain,
equal(op2(e20,e23),e22),
inference(rew,[status(thm),theory(equality)],[1572,500]),
[iquote('0:Rew:1572.0,500.0')] ).
cnf(1594,plain,
equal(op1(op1(e11,e13),e10),e13),
inference(rew,[status(thm),theory(equality)],[86,796]),
[iquote('0:Rew:86.0,796.0')] ).
cnf(1595,plain,
equal(op1(op1(e10,e12),e11),e12),
inference(rew,[status(thm),theory(equality)],[1318,790]),
[iquote('0:Rew:1318.0,790.0')] ).
cnf(1597,plain,
equal(op1(e13,e12),e11),
inference(rew,[status(thm),theory(equality)],[1317,785,1287]),
[iquote('0:Rew:1317.0,785.0,1287.0,785.0')] ).
cnf(1598,plain,
equal(op1(e11,e12),e13),
inference(rew,[status(thm),theory(equality)],[1597,525]),
[iquote('0:Rew:1597.0,525.0')] ).
cnf(1617,plain,
equal(op1(e13,op1(e12,e11)),e12),
inference(rew,[status(thm),theory(equality)],[1598,791]),
[iquote('0:Rew:1598.0,791.0')] ).
cnf(1618,plain,
equal(op1(op1(e12,e11),e13),e11),
inference(rew,[status(thm),theory(equality)],[1598,787]),
[iquote('0:Rew:1598.0,787.0')] ).
cnf(1620,plain,
equal(op1(e11,op1(e10,e12)),e10),
inference(rew,[status(thm),theory(equality)],[1318,782]),
[iquote('0:Rew:1318.0,782.0')] ).
cnf(1621,plain,
equal(op1(e12,e13),e10),
inference(rew,[status(thm),theory(equality)],[1287,781,1317]),
[iquote('0:Rew:1287.0,781.0,1317.0,781.0')] ).
cnf(1622,plain,
equal(op1(e10,e13),e12),
inference(rew,[status(thm),theory(equality)],[1621,521]),
[iquote('0:Rew:1621.0,521.0')] ).
cnf(1644,plain,
equal(h1(e12),e24),
inference(rew,[status(thm),theory(equality)],[1350,831,1283,87]),
[iquote('0:Rew:1350.0,831.0,1283.0,831.0,87.0,831.0')] ).
cnf(1646,plain,
equal(op2(e20,e22),e24),
inference(rew,[status(thm),theory(equality)],[1644,1350]),
[iquote('0:Rew:1644.0,1350.0')] ).
cnf(1647,plain,
equal(op2(e24,e22),e20),
inference(rew,[status(thm),theory(equality)],[1644,1353]),
[iquote('0:Rew:1644.0,1353.0')] ).
cnf(1654,plain,
equal(op2(e24,e21),e22),
inference(rew,[status(thm),theory(equality)],[1644,1496]),
[iquote('0:Rew:1644.0,1496.0')] ).
cnf(1656,plain,
equal(op2(e21,e24),e20),
inference(rew,[status(thm),theory(equality)],[1644,1552]),
[iquote('0:Rew:1644.0,1552.0')] ).
cnf(1658,plain,
equal(h12(e10),e20),
inference(rew,[status(thm),theory(equality)],[499,1647]),
[iquote('0:Rew:499.0,1647.0')] ).
cnf(1659,plain,
equal(op2(e24,e22),e20),
inference(rew,[status(thm),theory(equality)],[1658,499]),
[iquote('0:Rew:1658.0,499.0')] ).
cnf(1673,plain,
equal(h8(e10),e22),
inference(rew,[status(thm),theory(equality)],[495,1654]),
[iquote('0:Rew:495.0,1654.0')] ).
cnf(1674,plain,
equal(op2(e24,e21),e22),
inference(rew,[status(thm),theory(equality)],[1673,495]),
[iquote('0:Rew:1673.0,495.0')] ).
cnf(1676,plain,
equal(op2(e22,e21),e24),
inference(rew,[status(thm),theory(equality)],[1673,1290]),
[iquote('0:Rew:1673.0,1290.0')] ).
cnf(1687,plain,
equal(h18(e10),e20),
inference(rew,[status(thm),theory(equality)],[505,1656]),
[iquote('0:Rew:505.0,1656.0')] ).
cnf(1688,plain,
equal(op2(e21,e24),e20),
inference(rew,[status(thm),theory(equality)],[1687,505]),
[iquote('0:Rew:1687.0,505.0')] ).
cnf(1690,plain,
equal(op2(e20,e24),e21),
inference(rew,[status(thm),theory(equality)],[1687,1304]),
[iquote('0:Rew:1687.0,1304.0')] ).
cnf(1703,plain,
equal(h6(e10),e24),
inference(rew,[status(thm),theory(equality)],[493,1676]),
[iquote('0:Rew:493.0,1676.0')] ).
cnf(1704,plain,
equal(op2(e22,e21),e24),
inference(rew,[status(thm),theory(equality)],[1703,493]),
[iquote('0:Rew:1703.0,493.0')] ).
cnf(1714,plain,
equal(op2(e23,e24),e22),
inference(rew,[status(thm),theory(equality)],[1703,1529]),
[iquote('0:Rew:1703.0,1529.0')] ).
cnf(1715,plain,
equal(op2(e24,e23),e21),
inference(rew,[status(thm),theory(equality)],[1703,1530]),
[iquote('0:Rew:1703.0,1530.0')] ).
cnf(1718,plain,
equal(h17(e10),e21),
inference(rew,[status(thm),theory(equality)],[504,1690]),
[iquote('0:Rew:504.0,1690.0')] ).
cnf(1719,plain,
equal(op2(e20,e24),e21),
inference(rew,[status(thm),theory(equality)],[1718,504]),
[iquote('0:Rew:1718.0,504.0')] ).
cnf(1733,plain,
equal(h20(e10),e22),
inference(rew,[status(thm),theory(equality)],[507,1714]),
[iquote('0:Rew:507.0,1714.0')] ).
cnf(1734,plain,
equal(op2(e23,e24),e22),
inference(rew,[status(thm),theory(equality)],[1733,507]),
[iquote('0:Rew:1733.0,507.0')] ).
cnf(1735,plain,
( ~ equal(e22,e22)
| skC78 ),
inference(rew,[status(thm),theory(equality)],[1733,478]),
[iquote('0:Rew:1733.0,478.0')] ).
cnf(1736,plain,
equal(op2(e22,e24),e23),
inference(rew,[status(thm),theory(equality)],[1733,1292]),
[iquote('0:Rew:1733.0,1292.0')] ).
cnf(1737,plain,
equal(op2(e24,e22),h20(e12)),
inference(rew,[status(thm),theory(equality)],[1733,1321]),
[iquote('0:Rew:1733.0,1321.0')] ).
cnf(1746,plain,
equal(h16(e10),e21),
inference(rew,[status(thm),theory(equality)],[503,1715]),
[iquote('0:Rew:503.0,1715.0')] ).
cnf(1747,plain,
equal(op2(e24,e23),e21),
inference(rew,[status(thm),theory(equality)],[1746,503]),
[iquote('0:Rew:1746.0,503.0')] ).
cnf(1749,plain,
equal(op2(e21,e23),e24),
inference(rew,[status(thm),theory(equality)],[1746,1288]),
[iquote('0:Rew:1746.0,1288.0')] ).
cnf(1759,plain,
skC78,
inference(obv,[status(thm),theory(equality)],[1735]),
[iquote('0:Obv:1735.0')] ).
cnf(1760,plain,
equal(h19(e10),e23),
inference(rew,[status(thm),theory(equality)],[506,1736]),
[iquote('0:Rew:506.0,1736.0')] ).
cnf(1761,plain,
equal(op2(e22,e24),e23),
inference(rew,[status(thm),theory(equality)],[1760,506]),
[iquote('0:Rew:1760.0,506.0')] ).
cnf(1772,plain,
equal(h5(e12),e24),
inference(rew,[status(thm),theory(equality)],[1339,1749]),
[iquote('0:Rew:1339.0,1749.0')] ).
cnf(1774,plain,
equal(op2(e21,e23),e24),
inference(rew,[status(thm),theory(equality)],[1772,1339]),
[iquote('0:Rew:1772.0,1339.0')] ).
cnf(1780,plain,
equal(op2(e24,e20),e23),
inference(rew,[status(thm),theory(equality)],[1772,1491]),
[iquote('0:Rew:1772.0,1491.0')] ).
cnf(1786,plain,
equal(h4(e10),e23),
inference(rew,[status(thm),theory(equality)],[491,1780]),
[iquote('0:Rew:491.0,1780.0')] ).
cnf(1787,plain,
equal(op2(e24,e20),e23),
inference(rew,[status(thm),theory(equality)],[1786,491]),
[iquote('0:Rew:1786.0,491.0')] ).
cnf(1789,plain,
equal(op2(e23,e20),e24),
inference(rew,[status(thm),theory(equality)],[1786,1291]),
[iquote('0:Rew:1786.0,1291.0')] ).
cnf(1798,plain,
equal(h3(e10),e24),
inference(rew,[status(thm),theory(equality)],[490,1789]),
[iquote('0:Rew:490.0,1789.0')] ).
cnf(1799,plain,
equal(op2(e23,e20),e24),
inference(rew,[status(thm),theory(equality)],[1798,490]),
[iquote('0:Rew:1798.0,490.0')] ).
cnf(1841,plain,
equal(h20(e12),e20),
inference(rew,[status(thm),theory(equality)],[1659,1737]),
[iquote('0:Rew:1659.0,1737.0')] ).
cnf(1843,plain,
( ~ equal(e20,e20)
| skC76 ),
inference(rew,[status(thm),theory(equality)],[1841,470]),
[iquote('0:Rew:1841.0,470.0')] ).
cnf(1844,plain,
skC76,
inference(obv,[status(thm),theory(equality)],[1843]),
[iquote('0:Obv:1843.0')] ).
cnf(1867,plain,
equal(op1(e10,e12),e14),
inference(rew,[status(thm),theory(equality)],[1287,830,86]),
[iquote('0:Rew:1287.0,830.0,86.0,830.0')] ).
cnf(1868,plain,
equal(op1(e14,e12),e10),
inference(rew,[status(thm),theory(equality)],[1867,510]),
[iquote('0:Rew:1867.0,510.0')] ).
cnf(1874,plain,
equal(op1(e14,e11),e12),
inference(rew,[status(thm),theory(equality)],[1867,1595]),
[iquote('0:Rew:1867.0,1595.0')] ).
cnf(1876,plain,
equal(op1(e11,e14),e10),
inference(rew,[status(thm),theory(equality)],[1867,1620]),
[iquote('0:Rew:1867.0,1620.0')] ).
cnf(1888,plain,
equal(op1(e12,e11),e14),
inference(rew,[status(thm),theory(equality)],[1874,529]),
[iquote('0:Rew:1874.0,529.0')] ).
cnf(1898,plain,
equal(op1(e10,e14),e11),
inference(rew,[status(thm),theory(equality)],[1876,517]),
[iquote('0:Rew:1876.0,517.0')] ).
cnf(1914,plain,
equal(op1(e13,e14),e12),
inference(rew,[status(thm),theory(equality)],[1888,1617]),
[iquote('0:Rew:1888.0,1617.0')] ).
cnf(1915,plain,
equal(op1(e14,e13),e11),
inference(rew,[status(thm),theory(equality)],[1888,1618]),
[iquote('0:Rew:1888.0,1618.0')] ).
cnf(1925,plain,
equal(op1(e12,e14),e13),
inference(rew,[status(thm),theory(equality)],[1914,527]),
[iquote('0:Rew:1914.0,527.0')] ).
cnf(1934,plain,
equal(op1(e11,e13),e14),
inference(rew,[status(thm),theory(equality)],[1915,531]),
[iquote('0:Rew:1915.0,531.0')] ).
cnf(1950,plain,
equal(op1(e14,e10),e13),
inference(rew,[status(thm),theory(equality)],[1934,1594]),
[iquote('0:Rew:1934.0,1594.0')] ).
cnf(1954,plain,
equal(op1(e13,e10),e14),
inference(rew,[status(thm),theory(equality)],[1950,528]),
[iquote('0:Rew:1950.0,528.0')] ).
cnf(1996,plain,
equal(h20(e14),e21),
inference(rew,[status(thm),theory(equality)],[1308,851,1659,1734]),
[iquote('0:Rew:1308.0,851.0,1659.0,851.0,1734.0,851.0')] ).
cnf(1997,plain,
( ~ equal(e21,e21)
| skC77 ),
inference(rew,[status(thm),theory(equality)],[1996,477]),
[iquote('0:Rew:1996.0,477.0')] ).
cnf(1998,plain,
skC77,
inference(obv,[status(thm),theory(equality)],[1997]),
[iquote('0:Obv:1997.0')] ).
cnf(2048,plain,
( equal(e24,e21)
| equal(e24,e20)
| equal(e23,e24)
| equal(e24,e22)
| equal(op2(e24,e24),e24) ),
inference(rew,[status(thm),theory(equality)],[1734,852,1761,1688,1719]),
[iquote('0:Rew:1734.0,852.3,1761.0,852.2,1688.0,852.1,1719.0,852.0')] ).
cnf(2049,plain,
equal(op2(e24,e24),e24),
inference(mrr,[status(thm)],[2048,17,14,20,19]),
[iquote('0:MRR:2048.0,2048.1,2048.2,2048.3,17.0,14.0,20.0,19.0')] ).
cnf(2056,plain,
( equal(e23,e22)
| equal(e23,e24)
| equal(e23,e20)
| equal(op2(e23,e23),e23)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[1747,864,1558,1774,1573]),
[iquote('0:Rew:1747.0,864.4,1558.0,864.2,1774.0,864.1,1573.0,864.0')] ).
cnf(2057,plain,
equal(op2(e23,e23),e23),
inference(mrr,[status(thm)],[2056,18,20,13,16]),
[iquote('0:MRR:2056.0,2056.1,2056.2,2056.4,18.0,20.0,13.0,16.0')] ).
cnf(2064,plain,
( equal(e24,e22)
| equal(e23,e22)
| equal(op2(e22,e22),e22)
| equal(e22,e21)
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[1659,876,1501,1517,1646]),
[iquote('0:Rew:1659.0,876.4,1501.0,876.3,1517.0,876.1,1646.0,876.0')] ).
cnf(2065,plain,
equal(op2(e22,e22),e22),
inference(mrr,[status(thm)],[2064,19,18,15,12]),
[iquote('0:MRR:2064.0,2064.1,2064.3,2064.4,19.0,18.0,15.0,12.0')] ).
cnf(2072,plain,
( equal(e23,e21)
| equal(op2(e21,e21),e21)
| equal(e24,e21)
| equal(e21,e20)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[1674,888,87,1704,1295]),
[iquote('0:Rew:1674.0,888.4,87.0,888.3,1704.0,888.2,1295.0,888.0')] ).
cnf(2073,plain,
equal(op2(e21,e21),e21),
inference(mrr,[status(thm)],[2072,16,17,11,15]),
[iquote('0:MRR:2072.0,2072.2,2072.3,2072.4,16.0,17.0,11.0,15.0')] ).
cnf(2080,plain,
( equal(op2(e20,e20),e20)
| equal(e22,e20)
| equal(e21,e20)
| equal(e24,e20)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[1787,900,1799,1308,1283]),
[iquote('0:Rew:1787.0,900.4,1799.0,900.3,1308.0,900.2,1283.0,900.1')] ).
cnf(2081,plain,
equal(op2(e20,e20),e20),
inference(mrr,[status(thm)],[2080,12,11,14,13]),
[iquote('0:MRR:2080.1,2080.2,2080.3,2080.4,12.0,11.0,14.0,13.0')] ).
cnf(2088,plain,
( equal(e14,e11)
| equal(e14,e10)
| equal(e14,e13)
| equal(e14,e12)
| equal(op1(e14,e14),e14) ),
inference(rew,[status(thm),theory(equality)],[1914,927,1925,1876,1898]),
[iquote('0:Rew:1914.0,927.3,1925.0,927.2,1876.0,927.1,1898.0,927.0')] ).
cnf(2089,plain,
equal(op1(e14,e14),e14),
inference(mrr,[status(thm)],[2088,7,4,10,9]),
[iquote('0:MRR:2088.0,2088.1,2088.2,2088.3,7.0,4.0,10.0,9.0')] ).
cnf(2096,plain,
( equal(e13,e12)
| equal(e14,e13)
| equal(e13,e10)
| equal(op1(e13,e13),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[1915,939,1621,1934,1622]),
[iquote('0:Rew:1915.0,939.4,1621.0,939.2,1934.0,939.1,1622.0,939.0')] ).
cnf(2097,plain,
equal(op1(e13,e13),e13),
inference(mrr,[status(thm)],[2096,8,10,3,6]),
[iquote('0:MRR:2096.0,2096.1,2096.2,2096.4,8.0,10.0,3.0,6.0')] ).
cnf(2104,plain,
( equal(e14,e12)
| equal(e13,e12)
| equal(op1(e12,e12),e12)
| equal(e12,e11)
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[1868,951,1597,1598,1867]),
[iquote('0:Rew:1868.0,951.4,1597.0,951.3,1598.0,951.1,1867.0,951.0')] ).
cnf(2105,plain,
equal(op1(e12,e12),e12),
inference(mrr,[status(thm)],[2104,9,8,5,2]),
[iquote('0:MRR:2104.0,2104.1,2104.3,2104.4,9.0,8.0,5.0,2.0')] ).
cnf(2112,plain,
( equal(e13,e11)
| equal(op1(e11,e11),e11)
| equal(e14,e11)
| equal(e11,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1874,963,86,1888,1317]),
[iquote('0:Rew:1874.0,963.4,86.0,963.3,1888.0,963.2,1317.0,963.0')] ).
cnf(2113,plain,
equal(op1(e11,e11),e11),
inference(mrr,[status(thm)],[2112,6,7,1,5]),
[iquote('0:MRR:2112.0,2112.2,2112.3,2112.4,6.0,7.0,1.0,5.0')] ).
cnf(2120,plain,
( equal(op1(e10,e10),e10)
| equal(e12,e10)
| equal(e11,e10)
| equal(e14,e10)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[1950,975,1954,1318,1287]),
[iquote('0:Rew:1950.0,975.4,1954.0,975.3,1318.0,975.2,1287.0,975.1')] ).
cnf(2121,plain,
equal(op1(e10,e10),e10),
inference(mrr,[status(thm)],[2120,2,1,4,3]),
[iquote('0:MRR:2120.1,2120.2,2120.3,2120.4,2.0,1.0,4.0,3.0')] ).
cnf(2134,plain,
( ~ equal(e24,e24)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e20,e20)
| ~ equal(e24,e24)
| ~ equal(e20,e20)
| ~ equal(e24,e24)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e24,e24)
| ~ equal(e21,e21)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e24,e24)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e24,e24)
| ~ equal(e21,e21)
| ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79 ),
inference(rew,[status(thm),theory(equality)],[2073,1005,1996,2089,1774,85,84,1915,1283,1841,1733,1868,1688,1874,1517,1950,87,1914,2057,2097,1799,1597,1734,86,1501,1954,1295,1925,1573,1621,2081,2105,1719,1888,1646,1318,1674,1876,1747,1934,1787,1598,2049,2113,1659,1287,1704,1898,1558,1622,1308,1867,1761,1317,2065,2121]),
[iquote('0:Rew:2073.0,1005.25,1996.0,1005.25,2089.0,1005.25,1774.0,1005.24,1996.0,1005.24,85.0,1005.24,84.0,1005.24,1915.0,1005.24,1283.0,1005.23,1996.0,1005.23,1841.0,1005.23,1733.0,1005.23,1868.0,1005.23,1688.0,1005.22,1996.0,1005.22,84.0,1005.22,1841.0,1005.22,1874.0,1005.22,1517.0,1005.21,1996.0,1005.21,1733.0,1005.21,85.0,1005.21,1950.0,1005.21,87.0,1005.20,85.0,1005.20,1996.0,1005.20,1841.0,1005.20,1914.0,1005.20,2057.0,1005.19,85.0,1005.19,2097.0,1005.19,1799.0,1005.18,85.0,1005.18,1841.0,1005.18,84.0,1005.18,1597.0,1005.18,1734.0,1005.17,85.0,1005.17,84.0,1005.17,1733.0,1005.17,86.0,1005.17,1501.0,1005.16,85.0,1005.16,1733.0,1005.16,1996.0,1005.16,1954.0,1005.16,1295.0,1005.15,1841.0,1005.15,1996.0,1005.15,85.0,1005.15,1925.0,1005.15,1573.0,1005.14,1841.0,1005.14,85.0,1005.14,1733.0,1005.14,1621.0,1005.14,2081.0,1005.13,1841.0,1005.13,2105.0,1005.13,1719.0,1005.12,1841.0,1005.12,84.0,1005.12,1996.0,1005.12,1888.0,1005.12,1646.0,1005.11,1841.0,1005.11,1733.0,1005.11,84.0,1005.11,1318.0,1005.11,1674.0,1005.10,84.0,1005.10,1996.0,1005.10,1733.0,1005.10,1876.0,1005.10,1747.0,1005.9,84.0,1005.9,85.0,1005.9,1996.0,1005.9,1934.0,1005.9,1787.0,1005.8,84.0,1005.8,1841.0,1005.8,85.0,1005.8,1598.0,1005.8,2049.0,1005.7,84.0,1005.7,2113.0,1005.7,1659.0,1005.6,84.0,1005.6,1733.0,1005.6,1841.0,1005.6,1287.0,1005.6,1704.0,1005.5,1733.0,1005.5,1996.0,1005.5,84.0,1005.5,1898.0,1005.5,1558.0,1005.4,1733.0,1005.4,85.0,1005.4,1841.0,1005.4,1622.0,1005.4,1308.0,1005.3,1733.0,1005.3,1841.0,1005.3,1996.0,1005.3,1867.0,1005.3,1761.0,1005.2,1733.0,1005.2,84.0,1005.2,85.0,1005.2,1317.0,1005.2,2065.0,1005.1,1733.0,1005.1,2121.0,1005.1,84.0,1005.0')] ).
cnf(2135,plain,
( ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79 ),
inference(obv,[status(thm),theory(equality)],[2134]),
[iquote('0:Obv:2134.25')] ).
cnf(2136,plain,
$false,
inference(mrr,[status(thm)],[2135,1844,1998,1759,1104]),
[iquote('0:MRR:2135.0,2135.1,2135.2,2135.3,1844.0,1998.0,1759.0,1104.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG169+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jun 8 04:30:06 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.96/1.14
% 0.96/1.14 SPASS V 3.9
% 0.96/1.14 SPASS beiseite: Proof found.
% 0.96/1.14 % SZS status Theorem
% 0.96/1.14 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.96/1.14 SPASS derived 479 clauses, backtracked 0 clauses, performed 0 splits and kept 879 clauses.
% 0.96/1.14 SPASS allocated 91717 KBytes.
% 0.96/1.14 SPASS spent 0:00:00.76 on the problem.
% 0.96/1.14 0:00:00.04 for the input.
% 0.96/1.14 0:00:00.50 for the FLOTTER CNF translation.
% 0.96/1.14 0:00:00.00 for inferences.
% 0.96/1.14 0:00:00.00 for the backtracking.
% 0.96/1.14 0:00:00.09 for the reduction.
% 0.96/1.14
% 0.96/1.14
% 0.96/1.14 Here is a proof with depth 0, length 236 :
% 0.96/1.14 % SZS output start Refutation
% See solution above
% 0.96/1.15 Formulae used in the proof : ax9 ax10 ax35 ax14 ax15 co1 ax16 ax17 ax18 ax19 ax20 ax21 ax23 ax24 ax25 ax26 ax27 ax28 ax29 ax30 ax31 ax32 ax33 ax34 ax12 ax13 ax3 ax6 ax5 ax2
% 0.96/1.15
%------------------------------------------------------------------------------