TSTP Solution File: ALG021+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG021+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 18:01:59 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 43
% Syntax : Number of clauses : 99 ( 54 unt; 0 nHn; 99 RR)
% Number of literals : 369 ( 0 equ; 273 neg)
% Maximal clause size : 102 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 22 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(e0,unit),
file('ALG021+1.p',unknown),
[] ).
cnf(8,axiom,
equal(inv(e0),e0),
file('ALG021+1.p',unknown),
[] ).
cnf(9,axiom,
equal(inv(e1),e1),
file('ALG021+1.p',unknown),
[] ).
cnf(10,axiom,
equal(inv(e2),e2),
file('ALG021+1.p',unknown),
[] ).
cnf(11,axiom,
equal(inv(e3),e3),
file('ALG021+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(e0,unit)
| skC17 ),
file('ALG021+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e0,e0),e0),
file('ALG021+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e1),e1),
file('ALG021+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e2),e2),
file('ALG021+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e3),e3),
file('ALG021+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e1,e0),e1),
file('ALG021+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e1,e1),e0),
file('ALG021+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e2),e3),
file('ALG021+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e3),e2),
file('ALG021+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e2,e0),e2),
file('ALG021+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e2,e1),e3),
file('ALG021+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e2,e2),e0),
file('ALG021+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e3),e1),
file('ALG021+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e3,e0),e3),
file('ALG021+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e3,e1),e2),
file('ALG021+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e3,e2),e1),
file('ALG021+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e3,e3),e0),
file('ALG021+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ equal(inv(e0),e0)
| skC18 ),
file('ALG021+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ equal(inv(e1),e1)
| skC19 ),
file('ALG021+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ equal(inv(e2),e2)
| skC20 ),
file('ALG021+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ equal(op(e0,e0),e0)
| skC1 ),
file('ALG021+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ equal(op(e0,e1),e1)
| skC2 ),
file('ALG021+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ equal(op(e0,e2),e2)
| skC3 ),
file('ALG021+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ equal(op(e0,e3),e3)
| skC4 ),
file('ALG021+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ equal(op(e1,e0),e1)
| skC5 ),
file('ALG021+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ equal(op(e1,e1),e0)
| skC6 ),
file('ALG021+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ equal(op(e1,e2),e3)
| skC7 ),
file('ALG021+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ equal(op(e1,e3),e2)
| skC8 ),
file('ALG021+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ equal(op(e2,e0),e2)
| skC9 ),
file('ALG021+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ equal(op(e2,e1),e3)
| skC10 ),
file('ALG021+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ equal(op(e2,e2),e0)
| skC11 ),
file('ALG021+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ equal(op(e2,e3),e1)
| skC12 ),
file('ALG021+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ equal(op(e3,e0),e3)
| skC13 ),
file('ALG021+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ equal(op(e3,e1),e2)
| skC14 ),
file('ALG021+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ equal(op(e3,e2),e1)
| skC15 ),
file('ALG021+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ equal(op(e3,e3),e0)
| skC16 ),
file('ALG021+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ equal(op(e0,e0),e0)
| ~ equal(op(e1,e1),e0)
| ~ equal(op(e2,e2),e0)
| ~ equal(op(e3,e3),e0)
| skC0 ),
file('ALG021+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ equal(inv(e3),e3)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ equal(op(op(e0,e0),e0),op(e0,op(e0,e0)))
| ~ equal(op(op(e0,e0),e1),op(e0,op(e0,e1)))
| ~ equal(op(op(e0,e0),e2),op(e0,op(e0,e2)))
| ~ equal(op(op(e0,e0),e3),op(e0,op(e0,e3)))
| ~ equal(op(op(e0,e1),e0),op(e0,op(e1,e0)))
| ~ equal(op(op(e0,e1),e1),op(e0,op(e1,e1)))
| ~ equal(op(op(e0,e1),e2),op(e0,op(e1,e2)))
| ~ equal(op(op(e0,e1),e3),op(e0,op(e1,e3)))
| ~ equal(op(op(e0,e2),e0),op(e0,op(e2,e0)))
| ~ equal(op(op(e0,e2),e1),op(e0,op(e2,e1)))
| ~ equal(op(op(e0,e2),e2),op(e0,op(e2,e2)))
| ~ equal(op(op(e0,e2),e3),op(e0,op(e2,e3)))
| ~ equal(op(op(e0,e3),e0),op(e0,op(e3,e0)))
| ~ equal(op(op(e0,e3),e1),op(e0,op(e3,e1)))
| ~ equal(op(op(e0,e3),e2),op(e0,op(e3,e2)))
| ~ equal(op(op(e0,e3),e3),op(e0,op(e3,e3)))
| ~ equal(op(op(e1,e0),e0),op(e1,op(e0,e0)))
| ~ equal(op(op(e1,e0),e1),op(e1,op(e0,e1)))
| ~ equal(op(op(e1,e0),e2),op(e1,op(e0,e2)))
| ~ equal(op(op(e1,e0),e3),op(e1,op(e0,e3)))
| ~ equal(op(op(e1,e1),e0),op(e1,op(e1,e0)))
| ~ equal(op(op(e1,e1),e1),op(e1,op(e1,e1)))
| ~ equal(op(op(e1,e1),e2),op(e1,op(e1,e2)))
| ~ equal(op(op(e1,e1),e3),op(e1,op(e1,e3)))
| ~ equal(op(op(e1,e2),e0),op(e1,op(e2,e0)))
| ~ equal(op(op(e1,e2),e1),op(e1,op(e2,e1)))
| ~ equal(op(op(e1,e2),e2),op(e1,op(e2,e2)))
| ~ equal(op(op(e1,e2),e3),op(e1,op(e2,e3)))
| ~ equal(op(op(e1,e3),e0),op(e1,op(e3,e0)))
| ~ equal(op(op(e1,e3),e1),op(e1,op(e3,e1)))
| ~ equal(op(op(e1,e3),e2),op(e1,op(e3,e2)))
| ~ equal(op(op(e1,e3),e3),op(e1,op(e3,e3)))
| ~ equal(op(op(e2,e0),e0),op(e2,op(e0,e0)))
| ~ equal(op(op(e2,e0),e1),op(e2,op(e0,e1)))
| ~ equal(op(op(e2,e0),e2),op(e2,op(e0,e2)))
| ~ equal(op(op(e2,e0),e3),op(e2,op(e0,e3)))
| ~ equal(op(op(e2,e1),e0),op(e2,op(e1,e0)))
| ~ equal(op(op(e2,e1),e1),op(e2,op(e1,e1)))
| ~ equal(op(op(e2,e1),e2),op(e2,op(e1,e2)))
| ~ equal(op(op(e2,e1),e3),op(e2,op(e1,e3)))
| ~ equal(op(op(e2,e2),e0),op(e2,op(e2,e0)))
| ~ equal(op(op(e2,e2),e1),op(e2,op(e2,e1)))
| ~ equal(op(op(e2,e2),e2),op(e2,op(e2,e2)))
| ~ equal(op(op(e2,e2),e3),op(e2,op(e2,e3)))
| ~ equal(op(op(e2,e3),e0),op(e2,op(e3,e0)))
| ~ equal(op(op(e2,e3),e1),op(e2,op(e3,e1)))
| ~ equal(op(op(e2,e3),e2),op(e2,op(e3,e2)))
| ~ equal(op(op(e2,e3),e3),op(e2,op(e3,e3)))
| ~ equal(op(op(e3,e0),e0),op(e3,op(e0,e0)))
| ~ equal(op(op(e3,e0),e1),op(e3,op(e0,e1)))
| ~ equal(op(op(e3,e0),e2),op(e3,op(e0,e2)))
| ~ equal(op(op(e3,e0),e3),op(e3,op(e0,e3)))
| ~ equal(op(op(e3,e1),e0),op(e3,op(e1,e0)))
| ~ equal(op(op(e3,e1),e1),op(e3,op(e1,e1)))
| ~ equal(op(op(e3,e1),e2),op(e3,op(e1,e2)))
| ~ equal(op(op(e3,e1),e3),op(e3,op(e1,e3)))
| ~ equal(op(op(e3,e2),e0),op(e3,op(e2,e0)))
| ~ equal(op(op(e3,e2),e1),op(e3,op(e2,e1)))
| ~ equal(op(op(e3,e2),e2),op(e3,op(e2,e2)))
| ~ equal(op(op(e3,e2),e3),op(e3,op(e2,e3)))
| ~ equal(op(op(e3,e3),e0),op(e3,op(e3,e0)))
| ~ equal(op(op(e3,e3),e1),op(e3,op(e3,e1)))
| ~ equal(op(op(e3,e3),e2),op(e3,op(e3,e2)))
| ~ equal(op(op(e3,e3),e3),op(e3,op(e3,e3)))
| ~ equal(op(unit,e0),e0)
| ~ equal(op(e0,unit),e0)
| ~ equal(op(unit,e1),e1)
| ~ equal(op(e1,unit),e1)
| ~ equal(op(unit,e2),e2)
| ~ equal(op(e2,unit),e2)
| ~ equal(op(unit,e3),e3)
| ~ equal(op(e3,unit),e3)
| ~ skC17
| ~ equal(op(e0,inv(e0)),unit)
| ~ equal(op(inv(e0),e0),unit)
| ~ equal(op(e1,inv(e1)),unit)
| ~ equal(op(inv(e1),e1),unit)
| ~ equal(op(e2,inv(e2)),unit)
| ~ equal(op(inv(e2),e2),unit)
| ~ equal(op(e3,inv(e3)),unit)
| ~ equal(op(inv(e3),e3),unit)
| ~ skC18
| ~ skC19
| ~ skC20 ),
file('ALG021+1.p',unknown),
[] ).
cnf(116,plain,
equal(inv(unit),unit),
inference(rew,[status(thm),theory(equality)],[1,8]),
[iquote('0:Rew:1.0,8.0')] ).
cnf(120,plain,
equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,31]),
[iquote('0:Rew:1.0,31.0')] ).
cnf(121,plain,
equal(op(e3,unit),e3),
inference(rew,[status(thm),theory(equality)],[1,28]),
[iquote('0:Rew:1.0,28.0')] ).
cnf(122,plain,
equal(op(e2,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,26]),
[iquote('0:Rew:1.0,26.0')] ).
cnf(123,plain,
equal(op(e2,unit),e2),
inference(rew,[status(thm),theory(equality)],[1,24]),
[iquote('0:Rew:1.0,24.0')] ).
cnf(124,plain,
equal(op(e1,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,21]),
[iquote('0:Rew:1.0,21.0')] ).
cnf(125,plain,
equal(op(e1,unit),e1),
inference(rew,[status(thm),theory(equality)],[1,20]),
[iquote('0:Rew:1.0,20.0')] ).
cnf(126,plain,
equal(op(unit,e3),e3),
inference(rew,[status(thm),theory(equality)],[1,19]),
[iquote('0:Rew:1.0,19.0')] ).
cnf(127,plain,
equal(op(unit,e2),e2),
inference(rew,[status(thm),theory(equality)],[1,18]),
[iquote('0:Rew:1.0,18.0')] ).
cnf(128,plain,
equal(op(unit,e1),e1),
inference(rew,[status(thm),theory(equality)],[1,17]),
[iquote('0:Rew:1.0,17.0')] ).
cnf(129,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[1,16]),
[iquote('0:Rew:1.0,16.0')] ).
cnf(130,plain,
( ~ equal(unit,unit)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(131,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[130]),
[iquote('0:Obv:130.0')] ).
cnf(133,plain,
( ~ equal(e2,e2)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[10,42]),
[iquote('0:Rew:10.0,42.0')] ).
cnf(134,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[133]),
[iquote('0:Obv:133.0')] ).
cnf(137,plain,
( ~ equal(e1,e1)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[9,37]),
[iquote('0:Rew:9.0,37.0')] ).
cnf(138,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[137]),
[iquote('0:Obv:137.0')] ).
cnf(142,plain,
( ~ equal(unit,unit)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[116,32,1]),
[iquote('0:Rew:116.0,32.0,1.0,32.0')] ).
cnf(143,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[142]),
[iquote('0:Obv:142.0')] ).
cnf(147,plain,
( ~ equal(unit,unit)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[120,104,1]),
[iquote('0:Rew:120.0,104.0,1.0,104.0')] ).
cnf(148,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[147]),
[iquote('0:Obv:147.0')] ).
cnf(151,plain,
( ~ equal(e1,e1)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[30,101]),
[iquote('0:Rew:30.0,101.0')] ).
cnf(152,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[151]),
[iquote('0:Obv:151.0')] ).
cnf(154,plain,
( ~ equal(e2,e2)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[29,98]),
[iquote('0:Rew:29.0,98.0')] ).
cnf(155,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[154]),
[iquote('0:Obv:154.0')] ).
cnf(156,plain,
( ~ equal(e3,e3)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[121,95,1]),
[iquote('0:Rew:121.0,95.0,1.0,95.0')] ).
cnf(157,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[156]),
[iquote('0:Obv:156.0')] ).
cnf(160,plain,
( ~ equal(e1,e1)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[27,89]),
[iquote('0:Rew:27.0,89.0')] ).
cnf(161,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[160]),
[iquote('0:Obv:160.0')] ).
cnf(165,plain,
( ~ equal(unit,unit)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[122,84,1]),
[iquote('0:Rew:122.0,84.0,1.0,84.0')] ).
cnf(166,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[165]),
[iquote('0:Obv:165.0')] ).
cnf(167,plain,
( ~ equal(e3,e3)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[25,83]),
[iquote('0:Rew:25.0,83.0')] ).
cnf(168,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[167]),
[iquote('0:Obv:167.0')] ).
cnf(170,plain,
( ~ equal(e2,e2)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[123,78,1]),
[iquote('0:Rew:123.0,78.0,1.0,78.0')] ).
cnf(171,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[170]),
[iquote('0:Obv:170.0')] ).
cnf(173,plain,
( ~ equal(e2,e2)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[23,74]),
[iquote('0:Rew:23.0,74.0')] ).
cnf(174,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[173]),
[iquote('0:Obv:173.0')] ).
cnf(175,plain,
( ~ equal(e3,e3)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[22,71]),
[iquote('0:Rew:22.0,71.0')] ).
cnf(176,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[175]),
[iquote('0:Obv:175.0')] ).
cnf(180,plain,
( ~ equal(unit,unit)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[124,64,1]),
[iquote('0:Rew:124.0,64.0,1.0,64.0')] ).
cnf(181,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[180]),
[iquote('0:Obv:180.0')] ).
cnf(184,plain,
( ~ equal(e1,e1)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[125,61,1]),
[iquote('0:Rew:125.0,61.0,1.0,61.0')] ).
cnf(185,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[184]),
[iquote('0:Obv:184.0')] ).
cnf(186,plain,
( ~ equal(e3,e3)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[126,59,1]),
[iquote('0:Rew:126.0,59.0,1.0,59.0')] ).
cnf(187,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[186]),
[iquote('0:Obv:186.0')] ).
cnf(189,plain,
( ~ equal(e2,e2)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[127,54,1]),
[iquote('0:Rew:127.0,54.0,1.0,54.0')] ).
cnf(190,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[189]),
[iquote('0:Obv:189.0')] ).
cnf(193,plain,
( ~ equal(e1,e1)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[128,49,1]),
[iquote('0:Rew:128.0,49.0,1.0,49.0')] ).
cnf(194,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[193]),
[iquote('0:Obv:193.0')] ).
cnf(198,plain,
( ~ equal(unit,unit)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[129,44,1]),
[iquote('0:Rew:129.0,44.0,1.0,44.0')] ).
cnf(199,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[198]),
[iquote('0:Obv:198.0')] ).
cnf(206,plain,
( ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[120,111,1,122,124,129]),
[iquote('0:Rew:120.0,111.3,1.0,111.3,122.0,111.2,1.0,111.2,124.0,111.1,1.0,111.1,129.0,111.0,1.0,111.0')] ).
cnf(207,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[206]),
[iquote('0:Obv:206.3')] ).
cnf(208,plain,
( ~ equal(e3,e3)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(unit,unit)
| ~ equal(e3,e3)
| ~ equal(e2,e2)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ skC17
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ skC18
| ~ skC19
| ~ skC20 ),
inference(rew,[status(thm),theory(equality)],[120,112,11,122,10,124,9,129,116,1,121,126,123,127,125,128,29,30,23,27,22,25]),
[iquote('0:Rew:120.0,112.98,11.0,112.98,120.0,112.97,11.0,112.97,122.0,112.96,10.0,112.96,122.0,112.95,10.0,112.95,124.0,112.94,9.0,112.94,124.0,112.93,9.0,112.93,129.0,112.92,116.0,112.92,1.0,112.92,129.0,112.91,116.0,112.91,1.0,112.91,121.0,112.89,126.0,112.88,123.0,112.87,127.0,112.86,125.0,112.85,128.0,112.84,129.0,112.83,1.0,112.83,129.0,112.82,1.0,112.82,126.0,112.81,121.0,112.81,120.0,112.81,127.0,112.80,120.0,112.80,29.0,112.80,30.0,112.80,128.0,112.79,120.0,112.79,30.0,112.79,29.0,112.79,129.0,112.78,120.0,112.78,121.0,112.78,1.0,112.78,23.0,112.77,30.0,112.77,29.0,112.77,27.0,112.77,22.0,112.76,30.0,112.76,121.0,112.76,122.0,112.76,124.0,112.75,30.0,112.75,120.0,112.75,25.0,112.75,125.0,112.74,30.0,112.74,123.0,112.74,1.0,112.74,27.0,112.73,29.0,112.73,30.0,112.73,23.0,112.73,122.0,112.72,29.0,112.72,120.0,112.72,22.0,112.72,25.0,112.71,29.0,112.71,121.0,112.71,124.0,112.71,123.0,112.70,29.0,112.70,125.0,112.70,1.0,112.70,120.0,112.69,121.0,112.69,120.0,112.69,126.0,112.69,1.0,112.69,30.0,112.68,121.0,112.68,30.0,112.68,127.0,112.68,1.0,112.68,29.0,112.67,121.0,112.67,29.0,112.67,128.0,112.67,1.0,112.67,121.0,112.66,121.0,112.66,129.0,112.66,1.0,112.66,23.0,112.65,27.0,112.65,123.0,112.65,120.0,112.65,22.0,112.64,27.0,112.64,25.0,112.64,30.0,112.64,124.0,112.63,27.0,112.63,122.0,112.63,29.0,112.63,125.0,112.62,27.0,112.62,121.0,112.62,1.0,112.62,126.0,112.61,122.0,112.61,25.0,112.61,27.0,112.61,127.0,112.60,123.0,112.60,122.0,112.60,128.0,112.59,122.0,112.59,27.0,112.59,25.0,112.59,129.0,112.58,122.0,112.58,123.0,112.58,1.0,112.58,120.0,112.57,25.0,112.57,122.0,112.57,23.0,112.57,30.0,112.56,25.0,112.56,27.0,112.56,22.0,112.56,29.0,112.55,25.0,112.55,123.0,112.55,124.0,112.55,121.0,112.54,25.0,112.54,125.0,112.54,1.0,112.54,27.0,112.53,123.0,112.53,27.0,112.53,126.0,112.53,1.0,112.53,122.0,112.52,123.0,112.52,122.0,112.52,127.0,112.52,1.0,112.52,25.0,112.51,123.0,112.51,25.0,112.51,128.0,112.51,1.0,112.51,123.0,112.50,123.0,112.50,129.0,112.50,1.0,112.50,27.0,112.49,23.0,112.49,125.0,112.49,120.0,112.49,122.0,112.48,23.0,112.48,124.0,112.48,30.0,112.48,25.0,112.47,23.0,112.47,22.0,112.47,29.0,112.47,123.0,112.46,23.0,112.46,121.0,112.46,1.0,112.46,120.0,112.45,22.0,112.45,124.0,112.45,27.0,112.45,30.0,112.44,22.0,112.44,125.0,112.44,122.0,112.44,29.0,112.43,22.0,112.43,23.0,112.43,25.0,112.43,121.0,112.42,22.0,112.42,123.0,112.42,1.0,112.42,126.0,112.41,124.0,112.41,22.0,112.41,23.0,112.41,127.0,112.40,124.0,112.40,23.0,112.40,22.0,112.40,128.0,112.39,125.0,112.39,124.0,112.39,129.0,112.38,124.0,112.38,125.0,112.38,1.0,112.38,23.0,112.37,125.0,112.37,23.0,112.37,126.0,112.37,1.0,112.37,22.0,112.36,125.0,112.36,22.0,112.36,127.0,112.36,1.0,112.36,124.0,112.35,125.0,112.35,124.0,112.35,128.0,112.35,1.0,112.35,125.0,112.34,125.0,112.34,129.0,112.34,1.0,112.34,120.0,112.33,126.0,112.33,129.0,112.33,1.0,112.33,120.0,112.33,30.0,112.32,126.0,112.32,128.0,112.32,1.0,112.32,30.0,112.32,29.0,112.31,126.0,112.31,127.0,112.31,1.0,112.31,29.0,112.31,121.0,112.30,126.0,112.30,121.0,112.30,1.0,112.30,27.0,112.29,127.0,112.29,128.0,112.29,1.0,112.29,27.0,112.29,122.0,112.28,127.0,112.28,129.0,112.28,1.0,112.28,122.0,112.28,25.0,112.27,127.0,112.27,126.0,112.27,1.0,112.27,25.0,112.27,123.0,112.26,127.0,112.26,123.0,112.26,1.0,112.26,23.0,112.25,128.0,112.25,127.0,112.25,1.0,112.25,23.0,112.25,22.0,112.24,128.0,112.24,126.0,112.24,1.0,112.24,22.0,112.24,124.0,112.23,128.0,112.23,129.0,112.23,1.0,112.23,124.0,112.23,125.0,112.22,128.0,112.22,125.0,112.22,1.0,112.22,126.0,112.21,129.0,112.21,126.0,112.21,126.0,112.21,1.0,112.21,127.0,112.20,129.0,112.20,127.0,112.20,127.0,112.20,1.0,112.20,128.0,112.19,129.0,112.19,128.0,112.19,128.0,112.19,1.0,112.19,129.0,112.18,129.0,112.18,1.0,112.18,11.0,112.0')] ).
cnf(209,plain,
( ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20 ),
inference(obv,[status(thm),theory(equality)],[208]),
[iquote('0:Obv:208.98')] ).
cnf(210,plain,
$false,
inference(mrr,[status(thm)],[209,207,199,194,190,187,185,181,176,174,171,168,166,161,157,155,152,148,131,143,138,134]),
[iquote('0:MRR:209.0,209.1,209.2,209.3,209.4,209.5,209.6,209.7,209.8,209.9,209.10,209.11,209.12,209.13,209.14,209.15,209.16,209.17,209.18,209.19,209.20,207.0,199.0,194.0,190.0,187.0,185.0,181.0,176.0,174.0,171.0,168.0,166.0,161.0,157.0,155.0,152.0,148.0,131.0,143.0,138.0,134.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG021+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 19:10:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58
% 0.18/0.58 SPASS V 3.9
% 0.18/0.58 SPASS beiseite: Proof found.
% 0.18/0.58 % SZS status Theorem
% 0.18/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.18/0.58 SPASS allocated 89511 KBytes.
% 0.18/0.58 SPASS spent 0:00:00.24 on the problem.
% 0.18/0.58 0:00:00.04 for the input.
% 0.18/0.58 0:00:00.17 for the FLOTTER CNF translation.
% 0.18/0.58 0:00:00.00 for inferences.
% 0.18/0.58 0:00:00.00 for the backtracking.
% 0.18/0.58 0:00:00.01 for the reduction.
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 Here is a proof with depth 0, length 99 :
% 0.18/0.58 % SZS output start Refutation
% See solution above
% 0.18/0.59 Formulae used in the proof : ax3 ax4 co1 ax2
% 0.18/0.59
%------------------------------------------------------------------------------