TSTP Solution File: ALG168+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG168+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.90s 1.07s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 102
% Syntax : Number of clauses : 231 ( 199 unt; 20 nHn; 231 RR)
% Number of literals : 381 ( 0 equ; 93 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('ALG168+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG168+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG168+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e14,e10),
file('ALG168+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e12,e11),
file('ALG168+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e11),
file('ALG168+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e14,e11),
file('ALG168+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e13,e12),
file('ALG168+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e14,e12),
file('ALG168+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e14,e13),
file('ALG168+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e21,e20),
file('ALG168+1.p',unknown),
[] ).
cnf(12,axiom,
~ equal(e22,e20),
file('ALG168+1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(e23,e20),
file('ALG168+1.p',unknown),
[] ).
cnf(14,axiom,
~ equal(e24,e20),
file('ALG168+1.p',unknown),
[] ).
cnf(15,axiom,
~ equal(e22,e21),
file('ALG168+1.p',unknown),
[] ).
cnf(16,axiom,
~ equal(e23,e21),
file('ALG168+1.p',unknown),
[] ).
cnf(17,axiom,
~ equal(e24,e21),
file('ALG168+1.p',unknown),
[] ).
cnf(18,axiom,
~ equal(e23,e22),
file('ALG168+1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(e24,e22),
file('ALG168+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(e23,e24),
file('ALG168+1.p',unknown),
[] ).
cnf(84,axiom,
equal(h20(e11),e24),
file('ALG168+1.p',unknown),
[] ).
cnf(85,axiom,
equal(h20(e13),e23),
file('ALG168+1.p',unknown),
[] ).
cnf(86,axiom,
equal(op1(e13,e11),e14),
file('ALG168+1.p',unknown),
[] ).
cnf(87,axiom,
equal(op2(e23,e21),e24),
file('ALG168+1.p',unknown),
[] ).
cnf(470,axiom,
( ~ equal(h20(e12),e20)
| skC76 ),
file('ALG168+1.p',unknown),
[] ).
cnf(477,axiom,
( ~ equal(h20(e14),e21)
| skC77 ),
file('ALG168+1.p',unknown),
[] ).
cnf(478,axiom,
( ~ equal(h20(e10),e22)
| skC78 ),
file('ALG168+1.p',unknown),
[] ).
cnf(486,axiom,
( ~ equal(h20(e13),e23)
| skC79 ),
file('ALG168+1.p',unknown),
[] ).
cnf(488,axiom,
equal(op2(e21,e20),h1(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(489,axiom,
equal(op2(e22,e20),h2(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(490,axiom,
equal(op2(e23,e20),h3(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(491,axiom,
equal(op2(e24,e20),h4(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(492,axiom,
equal(op2(e20,e21),h5(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(493,axiom,
equal(op2(e22,e21),h6(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(495,axiom,
equal(op2(e24,e21),h8(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(496,axiom,
equal(op2(e20,e22),h9(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(497,axiom,
equal(op2(e21,e22),h10(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(498,axiom,
equal(op2(e23,e22),h11(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(499,axiom,
equal(op2(e24,e22),h12(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(500,axiom,
equal(op2(e20,e23),h13(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(501,axiom,
equal(op2(e21,e23),h14(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(502,axiom,
equal(op2(e22,e23),h15(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(503,axiom,
equal(op2(e24,e23),h16(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(504,axiom,
equal(op2(e20,e24),h17(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(505,axiom,
equal(op2(e21,e24),h18(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(506,axiom,
equal(op2(e22,e24),h19(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(507,axiom,
equal(op2(e23,e24),h20(e14)),
file('ALG168+1.p',unknown),
[] ).
cnf(509,axiom,
equal(op1(e10,op1(e10,e11)),e11),
file('ALG168+1.p',unknown),
[] ).
cnf(512,axiom,
equal(op1(e10,op1(e10,e14)),e14),
file('ALG168+1.p',unknown),
[] ).
cnf(513,axiom,
equal(op1(e11,op1(e11,e10)),e10),
file('ALG168+1.p',unknown),
[] ).
cnf(515,axiom,
equal(op1(e11,op1(e11,e12)),e12),
file('ALG168+1.p',unknown),
[] ).
cnf(518,axiom,
equal(op1(e12,op1(e12,e10)),e10),
file('ALG168+1.p',unknown),
[] ).
cnf(522,axiom,
equal(op1(e12,op1(e12,e14)),e14),
file('ALG168+1.p',unknown),
[] ).
cnf(523,axiom,
equal(op1(e13,op1(e13,e10)),e10),
file('ALG168+1.p',unknown),
[] ).
cnf(524,axiom,
equal(op1(e13,op1(e13,e11)),e11),
file('ALG168+1.p',unknown),
[] ).
cnf(530,axiom,
equal(op1(e14,op1(e14,e12)),e12),
file('ALG168+1.p',unknown),
[] ).
cnf(531,axiom,
equal(op1(e14,op1(e14,e13)),e13),
file('ALG168+1.p',unknown),
[] ).
cnf(534,axiom,
equal(op2(e20,op2(e20,e21)),e21),
file('ALG168+1.p',unknown),
[] ).
cnf(537,axiom,
equal(op2(e20,op2(e20,e24)),e24),
file('ALG168+1.p',unknown),
[] ).
cnf(538,axiom,
equal(op2(e21,op2(e21,e20)),e20),
file('ALG168+1.p',unknown),
[] ).
cnf(540,axiom,
equal(op2(e21,op2(e21,e22)),e22),
file('ALG168+1.p',unknown),
[] ).
cnf(543,axiom,
equal(op2(e22,op2(e22,e20)),e20),
file('ALG168+1.p',unknown),
[] ).
cnf(547,axiom,
equal(op2(e22,op2(e22,e24)),e24),
file('ALG168+1.p',unknown),
[] ).
cnf(548,axiom,
equal(op2(e23,op2(e23,e20)),e20),
file('ALG168+1.p',unknown),
[] ).
cnf(549,axiom,
equal(op2(e23,op2(e23,e21)),e21),
file('ALG168+1.p',unknown),
[] ).
cnf(555,axiom,
equal(op2(e24,op2(e24,e22)),e22),
file('ALG168+1.p',unknown),
[] ).
cnf(556,axiom,
equal(op2(e24,op2(e24,e23)),e23),
file('ALG168+1.p',unknown),
[] ).
cnf(558,axiom,
equal(op1(op1(e13,e11),e13),e10),
file('ALG168+1.p',unknown),
[] ).
cnf(559,axiom,
equal(op2(op2(e23,e21),e23),e20),
file('ALG168+1.p',unknown),
[] ).
cnf(760,axiom,
equal(op2(op2(e21,e20),e21),h1(e10)),
file('ALG168+1.p',unknown),
[] ).
cnf(762,axiom,
equal(op2(op2(e23,e20),e23),h3(e10)),
file('ALG168+1.p',unknown),
[] ).
cnf(770,axiom,
equal(op2(op2(e23,e22),e23),h11(e10)),
file('ALG168+1.p',unknown),
[] ).
cnf(775,axiom,
equal(op2(op2(e24,e23),e24),h16(e10)),
file('ALG168+1.p',unknown),
[] ).
cnf(779,axiom,
equal(op2(op2(e23,e24),e23),h20(e10)),
file('ALG168+1.p',unknown),
[] ).
cnf(788,axiom,
equal(op1(op1(e13,e11),op1(e11,e13)),e11),
file('ALG168+1.p',unknown),
[] ).
cnf(789,axiom,
equal(op1(op1(e14,e11),op1(e11,e14)),e11),
file('ALG168+1.p',unknown),
[] ).
cnf(793,axiom,
equal(op1(op1(e13,e12),op1(e12,e13)),e12),
file('ALG168+1.p',unknown),
[] ).
cnf(795,axiom,
equal(op1(op1(e10,e13),op1(e13,e10)),e13),
file('ALG168+1.p',unknown),
[] ).
cnf(796,axiom,
equal(op1(op1(e11,e13),op1(e13,e11)),e13),
file('ALG168+1.p',unknown),
[] ).
cnf(799,axiom,
equal(op1(op1(e14,e13),op1(e13,e14)),e13),
file('ALG168+1.p',unknown),
[] ).
cnf(803,axiom,
equal(op1(op1(e13,e14),op1(e14,e13)),e14),
file('ALG168+1.p',unknown),
[] ).
cnf(813,axiom,
equal(op2(op2(e23,e21),op2(e21,e23)),e21),
file('ALG168+1.p',unknown),
[] ).
cnf(814,axiom,
equal(op2(op2(e24,e21),op2(e21,e24)),e21),
file('ALG168+1.p',unknown),
[] ).
cnf(818,axiom,
equal(op2(op2(e23,e22),op2(e22,e23)),e22),
file('ALG168+1.p',unknown),
[] ).
cnf(820,axiom,
equal(op2(op2(e20,e23),op2(e23,e20)),e23),
file('ALG168+1.p',unknown),
[] ).
cnf(821,axiom,
equal(op2(op2(e21,e23),op2(e23,e21)),e23),
file('ALG168+1.p',unknown),
[] ).
cnf(824,axiom,
equal(op2(op2(e24,e23),op2(e23,e24)),e23),
file('ALG168+1.p',unknown),
[] ).
cnf(828,axiom,
equal(op2(op2(e23,e24),op2(e24,e23)),e24),
file('ALG168+1.p',unknown),
[] ).
cnf(830,axiom,
equal(op1(e13,op1(op1(e13,e11),e13)),e12),
file('ALG168+1.p',unknown),
[] ).
cnf(831,axiom,
equal(op2(e23,op2(op2(e23,e21),e23)),e22),
file('ALG168+1.p',unknown),
[] ).
cnf(851,axiom,
equal(op2(e23,op2(op2(e23,e24),e23)),h20(e12)),
file('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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('ALG168+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(1283,plain,
equal(h16(e14),e20),
inference(rew,[status(thm),theory(equality)],[503,559,87]),
[iquote('0:Rew:503.0,559.0,87.0,559.0')] ).
cnf(1284,plain,
equal(op2(e24,e23),e20),
inference(rew,[status(thm),theory(equality)],[1283,503]),
[iquote('0:Rew:1283.0,503.0')] ).
cnf(1289,plain,
equal(op1(e14,e13),e10),
inference(rew,[status(thm),theory(equality)],[86,558]),
[iquote('0:Rew:86.0,558.0')] ).
cnf(1290,plain,
equal(h4(e14),e23),
inference(rew,[status(thm),theory(equality)],[491,556,1284]),
[iquote('0:Rew:491.0,556.0,1284.0,556.0')] ).
cnf(1291,plain,
equal(op2(e24,e20),e23),
inference(rew,[status(thm),theory(equality)],[1290,491]),
[iquote('0:Rew:1290.0,491.0')] ).
cnf(1296,plain,
equal(op2(e24,h12(e14)),e22),
inference(rew,[status(thm),theory(equality)],[499,555]),
[iquote('0:Rew:499.0,555.0')] ).
cnf(1301,plain,
equal(h20(e14),e21),
inference(rew,[status(thm),theory(equality)],[507,549,87]),
[iquote('0:Rew:507.0,549.0,87.0,549.0')] ).
cnf(1302,plain,
equal(op2(e23,e24),e21),
inference(rew,[status(thm),theory(equality)],[1301,507]),
[iquote('0:Rew:1301.0,507.0')] ).
cnf(1304,plain,
( ~ equal(e21,e21)
| skC77 ),
inference(rew,[status(thm),theory(equality)],[1301,477]),
[iquote('0:Rew:1301.0,477.0')] ).
cnf(1307,plain,
skC77,
inference(obv,[status(thm),theory(equality)],[1304]),
[iquote('0:Obv:1304.0')] ).
cnf(1308,plain,
equal(op2(e23,h3(e14)),e20),
inference(rew,[status(thm),theory(equality)],[490,548]),
[iquote('0:Rew:490.0,548.0')] ).
cnf(1309,plain,
equal(op2(e22,h19(e14)),e24),
inference(rew,[status(thm),theory(equality)],[506,547]),
[iquote('0:Rew:506.0,547.0')] ).
cnf(1312,plain,
equal(op2(e22,h2(e14)),e20),
inference(rew,[status(thm),theory(equality)],[489,543]),
[iquote('0:Rew:489.0,543.0')] ).
cnf(1315,plain,
equal(op2(e21,h10(e14)),e22),
inference(rew,[status(thm),theory(equality)],[497,540]),
[iquote('0:Rew:497.0,540.0')] ).
cnf(1316,plain,
equal(op2(e21,h1(e14)),e20),
inference(rew,[status(thm),theory(equality)],[488,538]),
[iquote('0:Rew:488.0,538.0')] ).
cnf(1317,plain,
equal(op2(e20,h17(e14)),e24),
inference(rew,[status(thm),theory(equality)],[504,537]),
[iquote('0:Rew:504.0,537.0')] ).
cnf(1320,plain,
equal(op2(e20,h5(e14)),e21),
inference(rew,[status(thm),theory(equality)],[492,534]),
[iquote('0:Rew:492.0,534.0')] ).
cnf(1321,plain,
equal(op1(e14,e10),e13),
inference(rew,[status(thm),theory(equality)],[1289,531]),
[iquote('0:Rew:1289.0,531.0')] ).
cnf(1323,plain,
equal(op1(e13,e14),e11),
inference(rew,[status(thm),theory(equality)],[86,524]),
[iquote('0:Rew:86.0,524.0')] ).
cnf(1325,plain,
equal(h20(e10),h14(e14)),
inference(rew,[status(thm),theory(equality)],[501,779,1302]),
[iquote('0:Rew:501.0,779.0,1302.0,779.0')] ).
cnf(1326,plain,
( ~ equal(h14(e14),e22)
| skC78 ),
inference(rew,[status(thm),theory(equality)],[1325,478]),
[iquote('0:Rew:1325.0,478.0')] ).
cnf(1331,plain,
equal(h17(e14),h16(e10)),
inference(rew,[status(thm),theory(equality)],[504,775,1284]),
[iquote('0:Rew:504.0,775.0,1284.0,775.0')] ).
cnf(1332,plain,
equal(op2(e20,e24),h16(e10)),
inference(rew,[status(thm),theory(equality)],[1331,504]),
[iquote('0:Rew:1331.0,504.0')] ).
cnf(1336,plain,
equal(op2(e20,h16(e10)),e24),
inference(rew,[status(thm),theory(equality)],[1331,1317]),
[iquote('0:Rew:1331.0,1317.0')] ).
cnf(1342,plain,
equal(op2(h11(e14),e23),h11(e10)),
inference(rew,[status(thm),theory(equality)],[498,770]),
[iquote('0:Rew:498.0,770.0')] ).
cnf(1356,plain,
equal(op2(h3(e14),e23),h3(e10)),
inference(rew,[status(thm),theory(equality)],[490,762]),
[iquote('0:Rew:490.0,762.0')] ).
cnf(1358,plain,
equal(op2(h1(e14),e21),h1(e10)),
inference(rew,[status(thm),theory(equality)],[488,760]),
[iquote('0:Rew:488.0,760.0')] ).
cnf(1489,plain,
equal(h3(e14),e22),
inference(rew,[status(thm),theory(equality)],[490,831,1284,87]),
[iquote('0:Rew:490.0,831.0,1284.0,831.0,87.0,831.0')] ).
cnf(1490,plain,
equal(op2(e23,e20),e22),
inference(rew,[status(thm),theory(equality)],[1489,490]),
[iquote('0:Rew:1489.0,490.0')] ).
cnf(1492,plain,
equal(op2(e23,e22),e20),
inference(rew,[status(thm),theory(equality)],[1489,1308]),
[iquote('0:Rew:1489.0,1308.0')] ).
cnf(1493,plain,
equal(op2(e22,e23),h3(e10)),
inference(rew,[status(thm),theory(equality)],[1489,1356]),
[iquote('0:Rew:1489.0,1356.0')] ).
cnf(1503,plain,
equal(h11(e14),e20),
inference(rew,[status(thm),theory(equality)],[498,1492]),
[iquote('0:Rew:498.0,1492.0')] ).
cnf(1504,plain,
equal(op2(e23,e22),e20),
inference(rew,[status(thm),theory(equality)],[1503,498]),
[iquote('0:Rew:1503.0,498.0')] ).
cnf(1507,plain,
equal(op2(e20,e23),h11(e10)),
inference(rew,[status(thm),theory(equality)],[1503,1342]),
[iquote('0:Rew:1503.0,1342.0')] ).
cnf(1517,plain,
equal(h15(e14),h3(e10)),
inference(rew,[status(thm),theory(equality)],[502,1493]),
[iquote('0:Rew:502.0,1493.0')] ).
cnf(1518,plain,
equal(op2(e22,e23),h3(e10)),
inference(rew,[status(thm),theory(equality)],[1517,502]),
[iquote('0:Rew:1517.0,502.0')] ).
cnf(1530,plain,
equal(h13(e14),h11(e10)),
inference(rew,[status(thm),theory(equality)],[500,1507]),
[iquote('0:Rew:500.0,1507.0')] ).
cnf(1531,plain,
equal(op2(e20,e23),h11(e10)),
inference(rew,[status(thm),theory(equality)],[1530,500]),
[iquote('0:Rew:1530.0,500.0')] ).
cnf(1544,plain,
equal(op1(e13,e10),e12),
inference(rew,[status(thm),theory(equality)],[1289,830,86]),
[iquote('0:Rew:1289.0,830.0,86.0,830.0')] ).
cnf(1545,plain,
equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[1544,523]),
[iquote('0:Rew:1544.0,523.0')] ).
cnf(1563,plain,
equal(h1(e14),e24),
inference(rew,[status(thm),theory(equality)],[488,828,1302,1284]),
[iquote('0:Rew:488.0,828.0,1302.0,828.0,1284.0,828.0')] ).
cnf(1564,plain,
equal(op2(e21,e20),e24),
inference(rew,[status(thm),theory(equality)],[1563,488]),
[iquote('0:Rew:1563.0,488.0')] ).
cnf(1565,plain,
equal(op2(e21,e24),e20),
inference(rew,[status(thm),theory(equality)],[1563,1316]),
[iquote('0:Rew:1563.0,1316.0')] ).
cnf(1566,plain,
equal(op2(e24,e21),h1(e10)),
inference(rew,[status(thm),theory(equality)],[1563,1358]),
[iquote('0:Rew:1563.0,1358.0')] ).
cnf(1575,plain,
equal(h18(e14),e20),
inference(rew,[status(thm),theory(equality)],[505,1565]),
[iquote('0:Rew:505.0,1565.0')] ).
cnf(1576,plain,
equal(op2(e21,e24),e20),
inference(rew,[status(thm),theory(equality)],[1575,505]),
[iquote('0:Rew:1575.0,505.0')] ).
cnf(1591,plain,
equal(h8(e14),h1(e10)),
inference(rew,[status(thm),theory(equality)],[495,1566]),
[iquote('0:Rew:495.0,1566.0')] ).
cnf(1592,plain,
equal(op2(e24,e21),h1(e10)),
inference(rew,[status(thm),theory(equality)],[1591,495]),
[iquote('0:Rew:1591.0,495.0')] ).
cnf(1610,plain,
equal(h5(e14),e23),
inference(rew,[status(thm),theory(equality)],[492,824,1284,1302]),
[iquote('0:Rew:492.0,824.0,1284.0,824.0,1302.0,824.0')] ).
cnf(1611,plain,
equal(op2(e20,e21),e23),
inference(rew,[status(thm),theory(equality)],[1610,492]),
[iquote('0:Rew:1610.0,492.0')] ).
cnf(1616,plain,
equal(op2(e20,e23),e21),
inference(rew,[status(thm),theory(equality)],[1610,1320]),
[iquote('0:Rew:1610.0,1320.0')] ).
cnf(1629,plain,
equal(h11(e10),e21),
inference(rew,[status(thm),theory(equality)],[1531,1616]),
[iquote('0:Rew:1531.0,1616.0')] ).
cnf(1635,plain,
equal(op2(e20,e23),e21),
inference(rew,[status(thm),theory(equality)],[1629,1531]),
[iquote('0:Rew:1629.0,1531.0')] ).
cnf(1653,plain,
equal(op2(h14(e14),e24),e23),
inference(rew,[status(thm),theory(equality)],[501,821,87]),
[iquote('0:Rew:501.0,821.0,87.0,821.0')] ).
cnf(1654,plain,
equal(h10(e14),e23),
inference(rew,[status(thm),theory(equality)],[497,820,1635,1490]),
[iquote('0:Rew:497.0,820.0,1635.0,820.0,1490.0,820.0')] ).
cnf(1655,plain,
equal(op2(e21,e22),e23),
inference(rew,[status(thm),theory(equality)],[1654,497]),
[iquote('0:Rew:1654.0,497.0')] ).
cnf(1657,plain,
equal(op2(e21,e23),e22),
inference(rew,[status(thm),theory(equality)],[1654,1315]),
[iquote('0:Rew:1654.0,1315.0')] ).
cnf(1667,plain,
equal(h14(e14),e22),
inference(rew,[status(thm),theory(equality)],[501,1657]),
[iquote('0:Rew:501.0,1657.0')] ).
cnf(1668,plain,
equal(op2(e21,e23),e22),
inference(rew,[status(thm),theory(equality)],[1667,501]),
[iquote('0:Rew:1667.0,501.0')] ).
cnf(1669,plain,
( ~ equal(e22,e22)
| skC78 ),
inference(rew,[status(thm),theory(equality)],[1667,1326]),
[iquote('0:Rew:1667.0,1326.0')] ).
cnf(1672,plain,
equal(h20(e10),e22),
inference(rew,[status(thm),theory(equality)],[1667,1325]),
[iquote('0:Rew:1667.0,1325.0')] ).
cnf(1680,plain,
equal(op2(e22,e24),e23),
inference(rew,[status(thm),theory(equality)],[1667,1653]),
[iquote('0:Rew:1667.0,1653.0')] ).
cnf(1682,plain,
skC78,
inference(obv,[status(thm),theory(equality)],[1669]),
[iquote('0:Obv:1669.0')] ).
cnf(1684,plain,
equal(h19(e14),e23),
inference(rew,[status(thm),theory(equality)],[506,1680]),
[iquote('0:Rew:506.0,1680.0')] ).
cnf(1685,plain,
equal(op2(e22,e24),e23),
inference(rew,[status(thm),theory(equality)],[1684,506]),
[iquote('0:Rew:1684.0,506.0')] ).
cnf(1687,plain,
equal(op2(e22,e23),e24),
inference(rew,[status(thm),theory(equality)],[1684,1309]),
[iquote('0:Rew:1684.0,1309.0')] ).
cnf(1699,plain,
equal(h3(e10),e24),
inference(rew,[status(thm),theory(equality)],[1518,1687]),
[iquote('0:Rew:1518.0,1687.0')] ).
cnf(1702,plain,
equal(op2(e22,e23),e24),
inference(rew,[status(thm),theory(equality)],[1699,1518]),
[iquote('0:Rew:1699.0,1518.0')] ).
cnf(1725,plain,
equal(h16(e10),e22),
inference(rew,[status(thm),theory(equality)],[1332,818,1504,1702]),
[iquote('0:Rew:1332.0,818.0,1504.0,818.0,1702.0,818.0')] ).
cnf(1729,plain,
equal(op2(e20,e24),e22),
inference(rew,[status(thm),theory(equality)],[1725,1332]),
[iquote('0:Rew:1725.0,1332.0')] ).
cnf(1730,plain,
equal(op2(e20,e22),e24),
inference(rew,[status(thm),theory(equality)],[1725,1336]),
[iquote('0:Rew:1725.0,1336.0')] ).
cnf(1741,plain,
equal(h9(e14),e24),
inference(rew,[status(thm),theory(equality)],[496,1730]),
[iquote('0:Rew:496.0,1730.0')] ).
cnf(1742,plain,
equal(op2(e20,e22),e24),
inference(rew,[status(thm),theory(equality)],[1741,496]),
[iquote('0:Rew:1741.0,496.0')] ).
cnf(1761,plain,
equal(op2(h1(e10),e20),e21),
inference(rew,[status(thm),theory(equality)],[1592,814,1576]),
[iquote('0:Rew:1592.0,814.0,1576.0,814.0')] ).
cnf(1762,plain,
equal(h12(e14),e21),
inference(rew,[status(thm),theory(equality)],[499,813,87,1668]),
[iquote('0:Rew:499.0,813.0,87.0,813.0,1668.0,813.0')] ).
cnf(1763,plain,
equal(op2(e24,e22),e21),
inference(rew,[status(thm),theory(equality)],[1762,499]),
[iquote('0:Rew:1762.0,499.0')] ).
cnf(1766,plain,
equal(op2(e24,e21),e22),
inference(rew,[status(thm),theory(equality)],[1762,1296]),
[iquote('0:Rew:1762.0,1296.0')] ).
cnf(1779,plain,
equal(h1(e10),e22),
inference(rew,[status(thm),theory(equality)],[1592,1766]),
[iquote('0:Rew:1592.0,1766.0')] ).
cnf(1786,plain,
equal(op2(e24,e21),e22),
inference(rew,[status(thm),theory(equality)],[1779,1592]),
[iquote('0:Rew:1779.0,1592.0')] ).
cnf(1793,plain,
equal(op2(e22,e20),e21),
inference(rew,[status(thm),theory(equality)],[1779,1761]),
[iquote('0:Rew:1779.0,1761.0')] ).
cnf(1797,plain,
equal(h2(e14),e21),
inference(rew,[status(thm),theory(equality)],[489,1793]),
[iquote('0:Rew:489.0,1793.0')] ).
cnf(1798,plain,
equal(op2(e22,e20),e21),
inference(rew,[status(thm),theory(equality)],[1797,489]),
[iquote('0:Rew:1797.0,489.0')] ).
cnf(1801,plain,
equal(op2(e22,e21),e20),
inference(rew,[status(thm),theory(equality)],[1797,1312]),
[iquote('0:Rew:1797.0,1312.0')] ).
cnf(1813,plain,
equal(h6(e14),e20),
inference(rew,[status(thm),theory(equality)],[493,1801]),
[iquote('0:Rew:493.0,1801.0')] ).
cnf(1814,plain,
equal(op2(e22,e21),e20),
inference(rew,[status(thm),theory(equality)],[1813,493]),
[iquote('0:Rew:1813.0,493.0')] ).
cnf(1848,plain,
equal(op1(e11,e10),e14),
inference(rew,[status(thm),theory(equality)],[1323,803,1289]),
[iquote('0:Rew:1323.0,803.0,1289.0,803.0')] ).
cnf(1849,plain,
equal(op1(e11,e14),e10),
inference(rew,[status(thm),theory(equality)],[1848,513]),
[iquote('0:Rew:1848.0,513.0')] ).
cnf(1869,plain,
equal(op1(e10,e11),e13),
inference(rew,[status(thm),theory(equality)],[1289,799,1323]),
[iquote('0:Rew:1289.0,799.0,1323.0,799.0')] ).
cnf(1870,plain,
equal(op1(e10,e13),e11),
inference(rew,[status(thm),theory(equality)],[1869,509]),
[iquote('0:Rew:1869.0,509.0')] ).
cnf(1889,plain,
equal(op1(op1(e11,e13),e14),e13),
inference(rew,[status(thm),theory(equality)],[86,796]),
[iquote('0:Rew:86.0,796.0')] ).
cnf(1890,plain,
equal(op1(e11,e12),e13),
inference(rew,[status(thm),theory(equality)],[1870,795,1544]),
[iquote('0:Rew:1870.0,795.0,1544.0,795.0')] ).
cnf(1891,plain,
equal(op1(e11,e13),e12),
inference(rew,[status(thm),theory(equality)],[1890,515]),
[iquote('0:Rew:1890.0,515.0')] ).
cnf(1906,plain,
equal(op1(e12,e14),e13),
inference(rew,[status(thm),theory(equality)],[1891,1889]),
[iquote('0:Rew:1891.0,1889.0')] ).
cnf(1907,plain,
equal(op1(e12,e13),e14),
inference(rew,[status(thm),theory(equality)],[1906,522]),
[iquote('0:Rew:1906.0,522.0')] ).
cnf(1929,plain,
equal(op1(e10,e14),e12),
inference(rew,[status(thm),theory(equality)],[1545,793,1907]),
[iquote('0:Rew:1545.0,793.0,1907.0,793.0')] ).
cnf(1930,plain,
equal(op1(e10,e12),e14),
inference(rew,[status(thm),theory(equality)],[1929,512]),
[iquote('0:Rew:1929.0,512.0')] ).
cnf(1948,plain,
equal(op1(op1(e14,e11),e10),e11),
inference(rew,[status(thm),theory(equality)],[1849,789]),
[iquote('0:Rew:1849.0,789.0')] ).
cnf(1949,plain,
equal(op1(e14,e12),e11),
inference(rew,[status(thm),theory(equality)],[86,788,1891]),
[iquote('0:Rew:86.0,788.0,1891.0,788.0')] ).
cnf(1950,plain,
equal(op1(e14,e11),e12),
inference(rew,[status(thm),theory(equality)],[1949,530]),
[iquote('0:Rew:1949.0,530.0')] ).
cnf(1967,plain,
equal(op1(e12,e10),e11),
inference(rew,[status(thm),theory(equality)],[1950,1948]),
[iquote('0:Rew:1950.0,1948.0')] ).
cnf(1968,plain,
equal(op1(e12,e11),e10),
inference(rew,[status(thm),theory(equality)],[1967,518]),
[iquote('0:Rew:1967.0,518.0')] ).
cnf(1991,plain,
equal(h20(e12),e20),
inference(rew,[status(thm),theory(equality)],[1504,851,1668,1302]),
[iquote('0:Rew:1504.0,851.0,1668.0,851.0,1302.0,851.0')] ).
cnf(1992,plain,
( ~ equal(e20,e20)
| skC76 ),
inference(rew,[status(thm),theory(equality)],[1991,470]),
[iquote('0:Rew:1991.0,470.0')] ).
cnf(1993,plain,
skC76,
inference(obv,[status(thm),theory(equality)],[1992]),
[iquote('0:Obv:1992.0')] ).
cnf(2043,plain,
( equal(e24,e22)
| equal(e24,e20)
| equal(e23,e24)
| equal(e24,e21)
| equal(op2(e24,e24),e24) ),
inference(rew,[status(thm),theory(equality)],[1302,852,1685,1576,1729]),
[iquote('0:Rew:1302.0,852.3,1685.0,852.2,1576.0,852.1,1729.0,852.0')] ).
cnf(2044,plain,
equal(op2(e24,e24),e24),
inference(mrr,[status(thm)],[2043,19,14,20,17]),
[iquote('0:MRR:2043.0,2043.1,2043.2,2043.3,19.0,14.0,20.0,17.0')] ).
cnf(2051,plain,
( equal(e23,e21)
| equal(e23,e22)
| equal(e23,e24)
| equal(op2(e23,e23),e23)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[1284,864,1702,1668,1635]),
[iquote('0:Rew:1284.0,864.4,1702.0,864.2,1668.0,864.1,1635.0,864.0')] ).
cnf(2052,plain,
equal(op2(e23,e23),e23),
inference(mrr,[status(thm)],[2051,16,18,20,13]),
[iquote('0:MRR:2051.0,2051.1,2051.2,2051.4,16.0,18.0,20.0,13.0')] ).
cnf(2059,plain,
( equal(e24,e22)
| equal(e23,e22)
| equal(op2(e22,e22),e22)
| equal(e22,e20)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[1763,876,1504,1655,1742]),
[iquote('0:Rew:1763.0,876.4,1504.0,876.3,1655.0,876.1,1742.0,876.0')] ).
cnf(2060,plain,
equal(op2(e22,e22),e22),
inference(mrr,[status(thm)],[2059,19,18,12,15]),
[iquote('0:MRR:2059.0,2059.1,2059.3,2059.4,19.0,18.0,12.0,15.0')] ).
cnf(2067,plain,
( equal(e23,e21)
| equal(op2(e21,e21),e21)
| equal(e21,e20)
| equal(e24,e21)
| equal(e22,e21) ),
inference(rew,[status(thm),theory(equality)],[1786,888,87,1814,1611]),
[iquote('0:Rew:1786.0,888.4,87.0,888.3,1814.0,888.2,1611.0,888.0')] ).
cnf(2068,plain,
equal(op2(e21,e21),e21),
inference(mrr,[status(thm)],[2067,16,11,17,15]),
[iquote('0:MRR:2067.0,2067.2,2067.3,2067.4,16.0,11.0,17.0,15.0')] ).
cnf(2075,plain,
( equal(op2(e20,e20),e20)
| equal(e24,e20)
| equal(e21,e20)
| equal(e22,e20)
| equal(e23,e20) ),
inference(rew,[status(thm),theory(equality)],[1291,900,1490,1798,1564]),
[iquote('0:Rew:1291.0,900.4,1490.0,900.3,1798.0,900.2,1564.0,900.1')] ).
cnf(2076,plain,
equal(op2(e20,e20),e20),
inference(mrr,[status(thm)],[2075,14,11,12,13]),
[iquote('0:MRR:2075.1,2075.2,2075.3,2075.4,14.0,11.0,12.0,13.0')] ).
cnf(2083,plain,
( equal(e14,e12)
| equal(e14,e10)
| equal(e14,e13)
| equal(e14,e11)
| equal(op1(e14,e14),e14) ),
inference(rew,[status(thm),theory(equality)],[1323,927,1906,1849,1929]),
[iquote('0:Rew:1323.0,927.3,1906.0,927.2,1849.0,927.1,1929.0,927.0')] ).
cnf(2084,plain,
equal(op1(e14,e14),e14),
inference(mrr,[status(thm)],[2083,9,4,10,7]),
[iquote('0:MRR:2083.0,2083.1,2083.2,2083.3,9.0,4.0,10.0,7.0')] ).
cnf(2091,plain,
( equal(e13,e11)
| equal(e13,e12)
| equal(e14,e13)
| equal(op1(e13,e13),e13)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[1289,939,1907,1891,1870]),
[iquote('0:Rew:1289.0,939.4,1907.0,939.2,1891.0,939.1,1870.0,939.0')] ).
cnf(2092,plain,
equal(op1(e13,e13),e13),
inference(mrr,[status(thm)],[2091,6,8,10,3]),
[iquote('0:MRR:2091.0,2091.1,2091.2,2091.4,6.0,8.0,10.0,3.0')] ).
cnf(2099,plain,
( equal(e14,e12)
| equal(e13,e12)
| equal(op1(e12,e12),e12)
| equal(e12,e10)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1949,951,1545,1890,1930]),
[iquote('0:Rew:1949.0,951.4,1545.0,951.3,1890.0,951.1,1930.0,951.0')] ).
cnf(2100,plain,
equal(op1(e12,e12),e12),
inference(mrr,[status(thm)],[2099,9,8,2,5]),
[iquote('0:MRR:2099.0,2099.1,2099.3,2099.4,9.0,8.0,2.0,5.0')] ).
cnf(2107,plain,
( equal(e13,e11)
| equal(op1(e11,e11),e11)
| equal(e11,e10)
| equal(e14,e11)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[1950,963,86,1968,1869]),
[iquote('0:Rew:1950.0,963.4,86.0,963.3,1968.0,963.2,1869.0,963.0')] ).
cnf(2108,plain,
equal(op1(e11,e11),e11),
inference(mrr,[status(thm)],[2107,6,1,7,5]),
[iquote('0:MRR:2107.0,2107.2,2107.3,2107.4,6.0,1.0,7.0,5.0')] ).
cnf(2115,plain,
( equal(op1(e10,e10),e10)
| equal(e14,e10)
| equal(e11,e10)
| equal(e12,e10)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[1321,975,1544,1967,1848]),
[iquote('0:Rew:1321.0,975.4,1544.0,975.3,1967.0,975.2,1848.0,975.1')] ).
cnf(2116,plain,
equal(op1(e10,e10),e10),
inference(mrr,[status(thm)],[2115,4,1,2,3]),
[iquote('0:MRR:2115.1,2115.2,2115.3,2115.4,4.0,1.0,2.0,3.0')] ).
cnf(2129,plain,
( ~ equal(e24,e24)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e24,e24)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ equal(e24,e24)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e22,e22)
| ~ equal(e24,e24)
| ~ equal(e22,e22)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e24,e24)
| ~ equal(e23,e23)
| ~ equal(e20,e20)
| ~ equal(e24,e24)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79 ),
inference(rew,[status(thm),theory(equality)],[2068,1005,1301,2084,1668,85,1672,1289,1564,1991,84,1949,1576,1950,1655,1321,87,1323,2052,2092,1490,1545,1302,86,1504,1544,1611,1906,1635,1907,2076,2100,1729,1968,1742,1967,1786,1849,1284,1891,1291,1890,2044,2108,1763,1848,1814,1929,1702,1870,1798,1930,1685,1869,2060,2116]),
[iquote('0:Rew:2068.0,1005.25,1301.0,1005.25,2084.0,1005.25,1668.0,1005.24,1301.0,1005.24,85.0,1005.24,1672.0,1005.24,1289.0,1005.24,1564.0,1005.23,1301.0,1005.23,1991.0,1005.23,84.0,1005.23,1949.0,1005.23,1576.0,1005.22,1301.0,1005.22,84.0,1005.22,1991.0,1005.22,1950.0,1005.22,1655.0,1005.21,1301.0,1005.21,1672.0,1005.21,85.0,1005.21,1321.0,1005.21,87.0,1005.20,85.0,1005.20,1301.0,1005.20,84.0,1005.20,1323.0,1005.20,2052.0,1005.19,85.0,1005.19,2092.0,1005.19,1490.0,1005.18,85.0,1005.18,1991.0,1005.18,1672.0,1005.18,1545.0,1005.18,1302.0,1005.17,85.0,1005.17,84.0,1005.17,1301.0,1005.17,86.0,1005.17,1504.0,1005.16,85.0,1005.16,1672.0,1005.16,1991.0,1005.16,1544.0,1005.16,1611.0,1005.15,1991.0,1005.15,1301.0,1005.15,85.0,1005.15,1906.0,1005.15,1635.0,1005.14,1991.0,1005.14,85.0,1005.14,1301.0,1005.14,1907.0,1005.14,2076.0,1005.13,1991.0,1005.13,2100.0,1005.13,1729.0,1005.12,1991.0,1005.12,84.0,1005.12,1672.0,1005.12,1968.0,1005.12,1742.0,1005.11,1991.0,1005.11,1672.0,1005.11,84.0,1005.11,1967.0,1005.11,1786.0,1005.10,84.0,1005.10,1301.0,1005.10,1672.0,1005.10,1849.0,1005.10,1284.0,1005.9,84.0,1005.9,85.0,1005.9,1991.0,1005.9,1891.0,1005.9,1291.0,1005.8,84.0,1005.8,1991.0,1005.8,85.0,1005.8,1890.0,1005.8,2044.0,1005.7,84.0,1005.7,2108.0,1005.7,1763.0,1005.6,84.0,1005.6,1672.0,1005.6,1301.0,1005.6,1848.0,1005.6,1814.0,1005.5,1672.0,1005.5,1301.0,1005.5,1991.0,1005.5,1929.0,1005.5,1702.0,1005.4,1672.0,1005.4,85.0,1005.4,84.0,1005.4,1870.0,1005.4,1798.0,1005.3,1672.0,1005.3,1991.0,1005.3,1301.0,1005.3,1930.0,1005.3,1685.0,1005.2,1672.0,1005.2,84.0,1005.2,85.0,1005.2,1869.0,1005.2,2060.0,1005.1,1672.0,1005.1,2116.0,1005.1,84.0,1005.0')] ).
cnf(2130,plain,
( ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79 ),
inference(obv,[status(thm),theory(equality)],[2129]),
[iquote('0:Obv:2129.25')] ).
cnf(2131,plain,
$false,
inference(mrr,[status(thm)],[2130,1993,1307,1682,1104]),
[iquote('0:MRR:2130.0,2130.1,2130.2,2130.3,1993.0,1307.0,1682.0,1104.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG168+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 22:49:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.90/1.07
% 0.90/1.07 SPASS V 3.9
% 0.90/1.07 SPASS beiseite: Proof found.
% 0.90/1.07 % SZS status Theorem
% 0.90/1.07 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.07 SPASS derived 491 clauses, backtracked 0 clauses, performed 0 splits and kept 885 clauses.
% 0.90/1.07 SPASS allocated 91715 KBytes.
% 0.90/1.07 SPASS spent 0:00:00.73 on the problem.
% 0.90/1.07 0:00:00.04 for the input.
% 0.90/1.07 0:00:00.48 for the FLOTTER CNF translation.
% 0.90/1.07 0:00:00.00 for inferences.
% 0.90/1.07 0:00:00.00 for the backtracking.
% 0.90/1.07 0:00:00.08 for the reduction.
% 0.90/1.07
% 0.90/1.07
% 0.90/1.07 Here is a proof with depth 0, length 231 :
% 0.90/1.07 % SZS output start Refutation
% See solution above
% 0.90/1.09 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
% 0.90/1.09
%------------------------------------------------------------------------------