TSTP Solution File: ALG043+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG043+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 18:02:05 EDT 2022
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 67
% Syntax : Number of clauses : 178 ( 77 unt; 0 nHn; 178 RR)
% Number of literals : 444 ( 0 equ; 269 neg)
% Maximal clause size : 58 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 50 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(e0,unit),
file('ALG043+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ equal(e0,unit)
| skC17 ),
file('ALG043+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,e0),e0),
file('ALG043+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(e0,e1),e1),
file('ALG043+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e0,e2),e2),
file('ALG043+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(e0,e3),e3),
file('ALG043+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e1,e0),e1),
file('ALG043+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e1,e1),e0),
file('ALG043+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e1,e2),e3),
file('ALG043+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e1,e3),e2),
file('ALG043+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e2,e0),e2),
file('ALG043+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e2,e1),e3),
file('ALG043+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e2,e2),e0),
file('ALG043+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e2,e3),e1),
file('ALG043+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e3,e0),e3),
file('ALG043+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e3,e1),e2),
file('ALG043+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e3,e2),e1),
file('ALG043+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e3,e3),e0),
file('ALG043+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ equal(op(e0,e0),e0)
| skC1 ),
file('ALG043+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ equal(op(e0,e1),e1)
| skC2 ),
file('ALG043+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ equal(op(e0,e2),e2)
| skC3 ),
file('ALG043+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ equal(op(e0,e3),e3)
| skC4 ),
file('ALG043+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ equal(op(e1,e0),e1)
| skC5 ),
file('ALG043+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ equal(op(e1,e1),e0)
| skC6 ),
file('ALG043+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ equal(op(e1,e2),e3)
| skC7 ),
file('ALG043+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ equal(op(e1,e3),e2)
| skC8 ),
file('ALG043+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ equal(op(e2,e0),e2)
| skC9 ),
file('ALG043+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ equal(op(e2,e1),e3)
| skC10 ),
file('ALG043+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ equal(op(e2,e2),e0)
| skC11 ),
file('ALG043+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ equal(op(e2,e3),e1)
| skC12 ),
file('ALG043+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ equal(op(e3,e0),e3)
| skC13 ),
file('ALG043+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ equal(op(e3,e1),e2)
| skC14 ),
file('ALG043+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ equal(op(e3,e2),e1)
| skC15 ),
file('ALG043+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ equal(op(e3,e3),e0)
| skC16 ),
file('ALG043+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ equal(op(e0,e0),e0)
| skC18 ),
file('ALG043+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ equal(op(e0,e0),e0)
| skC19 ),
file('ALG043+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ equal(op(e0,e1),e1)
| skC20 ),
file('ALG043+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ equal(op(e1,e0),e1)
| skC21 ),
file('ALG043+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ equal(op(e0,e2),e2)
| skC22 ),
file('ALG043+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ equal(op(e2,e0),e2)
| skC23 ),
file('ALG043+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ equal(op(e0,e3),e3)
| skC24 ),
file('ALG043+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ equal(op(e3,e0),e3)
| skC25 ),
file('ALG043+1.p',unknown),
[] ).
cnf(125,axiom,
( ~ equal(op(e1,e1),e0)
| skC26 ),
file('ALG043+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ equal(op(e1,e1),e0)
| skC27 ),
file('ALG043+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ equal(op(e1,e0),e1)
| skC28 ),
file('ALG043+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ equal(op(e0,e1),e1)
| skC29 ),
file('ALG043+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ equal(op(e1,e3),e2)
| skC30 ),
file('ALG043+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ equal(op(e3,e1),e2)
| skC31 ),
file('ALG043+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ equal(op(e1,e2),e3)
| skC32 ),
file('ALG043+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ equal(op(e2,e1),e3)
| skC33 ),
file('ALG043+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ equal(op(e2,e2),e0)
| skC34 ),
file('ALG043+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ equal(op(e2,e2),e0)
| skC35 ),
file('ALG043+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ equal(op(e2,e3),e1)
| skC36 ),
file('ALG043+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ equal(op(e3,e2),e1)
| skC37 ),
file('ALG043+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ equal(op(e2,e0),e2)
| skC38 ),
file('ALG043+1.p',unknown),
[] ).
cnf(176,axiom,
( ~ equal(op(e0,e2),e2)
| skC39 ),
file('ALG043+1.p',unknown),
[] ).
cnf(181,axiom,
( ~ equal(op(e2,e1),e3)
| skC40 ),
file('ALG043+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ equal(op(e1,e2),e3)
| skC41 ),
file('ALG043+1.p',unknown),
[] ).
cnf(191,axiom,
( ~ equal(op(e3,e3),e0)
| skC42 ),
file('ALG043+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ equal(op(e3,e3),e0)
| skC43 ),
file('ALG043+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ equal(op(e3,e2),e1)
| skC44 ),
file('ALG043+1.p',unknown),
[] ).
cnf(202,axiom,
( ~ equal(op(e2,e3),e1)
| skC45 ),
file('ALG043+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ equal(op(e3,e1),e2)
| skC46 ),
file('ALG043+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ equal(op(e1,e3),e2)
| skC47 ),
file('ALG043+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ equal(op(e3,e0),e3)
| skC48 ),
file('ALG043+1.p',unknown),
[] ).
cnf(219,axiom,
( ~ equal(op(e0,e0),e0)
| ~ equal(op(e1,e1),e0)
| ~ equal(op(e2,e2),e0)
| ~ equal(op(e3,e3),e0)
| skC0 ),
file('ALG043+1.p',unknown),
[] ).
cnf(223,axiom,
( ~ equal(op(e0,e3),e3)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ 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
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48 ),
file('ALG043+1.p',unknown),
[] ).
cnf(227,plain,
equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,27]),
[iquote('0:Rew:1.0,27.0')] ).
cnf(228,plain,
equal(op(e3,unit),e3),
inference(rew,[status(thm),theory(equality)],[1,24]),
[iquote('0:Rew:1.0,24.0')] ).
cnf(229,plain,
equal(op(e2,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,22]),
[iquote('0:Rew:1.0,22.0')] ).
cnf(230,plain,
equal(op(e2,unit),e2),
inference(rew,[status(thm),theory(equality)],[1,20]),
[iquote('0:Rew:1.0,20.0')] ).
cnf(231,plain,
equal(op(e1,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,17]),
[iquote('0:Rew:1.0,17.0')] ).
cnf(232,plain,
equal(op(e1,unit),e1),
inference(rew,[status(thm),theory(equality)],[1,16]),
[iquote('0:Rew:1.0,16.0')] ).
cnf(233,plain,
equal(op(unit,e3),e3),
inference(rew,[status(thm),theory(equality)],[1,15]),
[iquote('0:Rew:1.0,15.0')] ).
cnf(234,plain,
equal(op(unit,e2),e2),
inference(rew,[status(thm),theory(equality)],[1,14]),
[iquote('0:Rew:1.0,14.0')] ).
cnf(235,plain,
equal(op(unit,e1),e1),
inference(rew,[status(thm),theory(equality)],[1,13]),
[iquote('0:Rew:1.0,13.0')] ).
cnf(236,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(237,plain,
( ~ equal(unit,unit)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[1,8]),
[iquote('0:Rew:1.0,8.0')] ).
cnf(238,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[237]),
[iquote('0:Obv:237.0')] ).
cnf(242,plain,
( ~ equal(e3,e3)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[228,212,1]),
[iquote('0:Rew:228.0,212.0,1.0,212.0')] ).
cnf(243,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[242]),
[iquote('0:Obv:242.0')] ).
cnf(246,plain,
( ~ equal(e2,e2)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[19,209]),
[iquote('0:Rew:19.0,209.0')] ).
cnf(247,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[246]),
[iquote('0:Obv:246.0')] ).
cnf(250,plain,
( ~ equal(e2,e2)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[25,205]),
[iquote('0:Rew:25.0,205.0')] ).
cnf(251,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[250]),
[iquote('0:Obv:250.0')] ).
cnf(253,plain,
( ~ equal(e1,e1)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[23,202]),
[iquote('0:Rew:23.0,202.0')] ).
cnf(254,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[253]),
[iquote('0:Obv:253.0')] ).
cnf(256,plain,
( ~ equal(e1,e1)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[26,198]),
[iquote('0:Rew:26.0,198.0')] ).
cnf(257,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[256]),
[iquote('0:Obv:256.0')] ).
cnf(258,plain,
( ~ equal(unit,unit)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[227,195,1]),
[iquote('0:Rew:227.0,195.0,1.0,195.0')] ).
cnf(259,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[258]),
[iquote('0:Obv:258.0')] ).
cnf(260,plain,
( ~ equal(unit,unit)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[227,191,1]),
[iquote('0:Rew:227.0,191.0,1.0,191.0')] ).
cnf(261,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[260]),
[iquote('0:Obv:260.0')] ).
cnf(264,plain,
( ~ equal(e3,e3)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[18,185]),
[iquote('0:Rew:18.0,185.0')] ).
cnf(265,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[264]),
[iquote('0:Obv:264.0')] ).
cnf(268,plain,
( ~ equal(e3,e3)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[21,181]),
[iquote('0:Rew:21.0,181.0')] ).
cnf(269,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[268]),
[iquote('0:Obv:268.0')] ).
cnf(273,plain,
( ~ equal(e2,e2)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[234,176,1]),
[iquote('0:Rew:234.0,176.0,1.0,176.0')] ).
cnf(274,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[273]),
[iquote('0:Obv:273.0')] ).
cnf(278,plain,
( ~ equal(e2,e2)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[230,172,1]),
[iquote('0:Rew:230.0,172.0,1.0,172.0')] ).
cnf(279,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[278]),
[iquote('0:Obv:278.0')] ).
cnf(280,plain,
( ~ equal(e1,e1)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[26,171]),
[iquote('0:Rew:26.0,171.0')] ).
cnf(281,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[280]),
[iquote('0:Obv:280.0')] ).
cnf(282,plain,
( ~ equal(e1,e1)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[23,167]),
[iquote('0:Rew:23.0,167.0')] ).
cnf(283,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[282]),
[iquote('0:Obv:282.0')] ).
cnf(285,plain,
( ~ equal(unit,unit)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[229,162,1]),
[iquote('0:Rew:229.0,162.0,1.0,162.0')] ).
cnf(286,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[285]),
[iquote('0:Obv:285.0')] ).
cnf(288,plain,
( ~ equal(unit,unit)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[229,158,1]),
[iquote('0:Rew:229.0,158.0,1.0,158.0')] ).
cnf(289,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[288]),
[iquote('0:Obv:288.0')] ).
cnf(291,plain,
( ~ equal(e3,e3)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[21,154]),
[iquote('0:Rew:21.0,154.0')] ).
cnf(292,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[291]),
[iquote('0:Obv:291.0')] ).
cnf(294,plain,
( ~ equal(e3,e3)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[18,150]),
[iquote('0:Rew:18.0,150.0')] ).
cnf(295,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[294]),
[iquote('0:Obv:294.0')] ).
cnf(296,plain,
( ~ equal(e2,e2)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[25,147]),
[iquote('0:Rew:25.0,147.0')] ).
cnf(297,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[296]),
[iquote('0:Obv:296.0')] ).
cnf(298,plain,
( ~ equal(e2,e2)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[19,143]),
[iquote('0:Rew:19.0,143.0')] ).
cnf(299,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[298]),
[iquote('0:Obv:298.0')] ).
cnf(303,plain,
( ~ equal(e1,e1)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[235,136,1]),
[iquote('0:Rew:235.0,136.0,1.0,136.0')] ).
cnf(304,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[303]),
[iquote('0:Obv:303.0')] ).
cnf(308,plain,
( ~ equal(e1,e1)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[232,132,1]),
[iquote('0:Rew:232.0,132.0,1.0,132.0')] ).
cnf(309,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[308]),
[iquote('0:Obv:308.0')] ).
cnf(312,plain,
( ~ equal(unit,unit)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[231,129,1]),
[iquote('0:Rew:231.0,129.0,1.0,129.0')] ).
cnf(313,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[312]),
[iquote('0:Obv:312.0')] ).
cnf(316,plain,
( ~ equal(unit,unit)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[231,125,1]),
[iquote('0:Rew:231.0,125.0,1.0,125.0')] ).
cnf(317,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[316]),
[iquote('0:Obv:316.0')] ).
cnf(318,plain,
( ~ equal(e3,e3)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[228,123,1]),
[iquote('0:Rew:228.0,123.0,1.0,123.0')] ).
cnf(319,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[318]),
[iquote('0:Obv:318.0')] ).
cnf(320,plain,
( ~ equal(e3,e3)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[233,119,1]),
[iquote('0:Rew:233.0,119.0,1.0,119.0')] ).
cnf(321,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[320]),
[iquote('0:Obv:320.0')] ).
cnf(323,plain,
( ~ equal(e2,e2)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[230,114,1]),
[iquote('0:Rew:230.0,114.0,1.0,114.0')] ).
cnf(324,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[323]),
[iquote('0:Obv:323.0')] ).
cnf(326,plain,
( ~ equal(e2,e2)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[234,110,1]),
[iquote('0:Rew:234.0,110.0,1.0,110.0')] ).
cnf(327,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[326]),
[iquote('0:Obv:326.0')] ).
cnf(330,plain,
( ~ equal(e1,e1)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[232,105,1]),
[iquote('0:Rew:232.0,105.0,1.0,105.0')] ).
cnf(331,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[330]),
[iquote('0:Obv:330.0')] ).
cnf(334,plain,
( ~ equal(e1,e1)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[235,101,1]),
[iquote('0:Rew:235.0,101.0,1.0,101.0')] ).
cnf(335,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[334]),
[iquote('0:Obv:334.0')] ).
cnf(339,plain,
( ~ equal(unit,unit)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[236,96,1]),
[iquote('0:Rew:236.0,96.0,1.0,96.0')] ).
cnf(340,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[339]),
[iquote('0:Obv:339.0')] ).
cnf(344,plain,
( ~ equal(unit,unit)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[236,92,1]),
[iquote('0:Rew:236.0,92.0,1.0,92.0')] ).
cnf(345,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[344]),
[iquote('0:Obv:344.0')] ).
cnf(349,plain,
( ~ equal(unit,unit)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[227,88,1]),
[iquote('0:Rew:227.0,88.0,1.0,88.0')] ).
cnf(350,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[349]),
[iquote('0:Obv:349.0')] ).
cnf(353,plain,
( ~ equal(e1,e1)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[26,85]),
[iquote('0:Rew:26.0,85.0')] ).
cnf(354,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[353]),
[iquote('0:Obv:353.0')] ).
cnf(356,plain,
( ~ equal(e2,e2)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[25,82]),
[iquote('0:Rew:25.0,82.0')] ).
cnf(357,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[356]),
[iquote('0:Obv:356.0')] ).
cnf(358,plain,
( ~ equal(e3,e3)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[228,79,1]),
[iquote('0:Rew:228.0,79.0,1.0,79.0')] ).
cnf(359,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[358]),
[iquote('0:Obv:358.0')] ).
cnf(362,plain,
( ~ equal(e1,e1)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[23,73]),
[iquote('0:Rew:23.0,73.0')] ).
cnf(363,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[362]),
[iquote('0:Obv:362.0')] ).
cnf(367,plain,
( ~ equal(unit,unit)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[229,68,1]),
[iquote('0:Rew:229.0,68.0,1.0,68.0')] ).
cnf(368,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[367]),
[iquote('0:Obv:367.0')] ).
cnf(369,plain,
( ~ equal(e3,e3)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[21,67]),
[iquote('0:Rew:21.0,67.0')] ).
cnf(370,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[369]),
[iquote('0:Obv:369.0')] ).
cnf(372,plain,
( ~ equal(e2,e2)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[230,62,1]),
[iquote('0:Rew:230.0,62.0,1.0,62.0')] ).
cnf(373,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[372]),
[iquote('0:Obv:372.0')] ).
cnf(375,plain,
( ~ equal(e2,e2)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[19,58]),
[iquote('0:Rew:19.0,58.0')] ).
cnf(376,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[375]),
[iquote('0:Obv:375.0')] ).
cnf(377,plain,
( ~ equal(e3,e3)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[18,55]),
[iquote('0:Rew:18.0,55.0')] ).
cnf(378,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[377]),
[iquote('0:Obv:377.0')] ).
cnf(382,plain,
( ~ equal(unit,unit)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[231,48,1]),
[iquote('0:Rew:231.0,48.0,1.0,48.0')] ).
cnf(383,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[382]),
[iquote('0:Obv:382.0')] ).
cnf(386,plain,
( ~ equal(e1,e1)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[232,45,1]),
[iquote('0:Rew:232.0,45.0,1.0,45.0')] ).
cnf(387,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[386]),
[iquote('0:Obv:386.0')] ).
cnf(388,plain,
( ~ equal(e3,e3)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[233,43,1]),
[iquote('0:Rew:233.0,43.0,1.0,43.0')] ).
cnf(389,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[388]),
[iquote('0:Obv:388.0')] ).
cnf(391,plain,
( ~ equal(e2,e2)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[234,38,1]),
[iquote('0:Rew:234.0,38.0,1.0,38.0')] ).
cnf(392,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[391]),
[iquote('0:Obv:391.0')] ).
cnf(395,plain,
( ~ equal(e1,e1)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[235,33,1]),
[iquote('0:Rew:235.0,33.0,1.0,33.0')] ).
cnf(396,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[395]),
[iquote('0:Obv:395.0')] ).
cnf(400,plain,
( ~ equal(unit,unit)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[236,28,1]),
[iquote('0:Rew:236.0,28.0,1.0,28.0')] ).
cnf(401,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[400]),
[iquote('0:Obv:400.0')] ).
cnf(408,plain,
( ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[227,219,1,229,231,236]),
[iquote('0:Rew:227.0,219.3,1.0,219.3,229.0,219.2,1.0,219.2,231.0,219.1,1.0,219.1,236.0,219.0,1.0,219.0')] ).
cnf(409,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[408]),
[iquote('0:Obv:408.3')] ).
cnf(416,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(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48 ),
inference(rew,[status(thm),theory(equality)],[228,223,233,230,234,232,235,236,1]),
[iquote('0:Rew:228.0,223.25,233.0,223.24,230.0,223.23,234.0,223.22,232.0,223.21,235.0,223.20,236.0,223.19,1.0,223.19,236.0,223.18,1.0,223.18,233.0,223.0,1.0,223.0')] ).
cnf(417,plain,
( ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48 ),
inference(obv,[status(thm),theory(equality)],[416]),
[iquote('0:Obv:416.25')] ).
cnf(418,plain,
$false,
inference(mrr,[status(thm)],[417,409,401,396,392,389,387,383,378,376,373,370,368,363,359,357,354,350,238,345,340,335,331,327,324,321,319,317,313,309,304,299,297,295,292,289,286,283,281,279,274,269,265,261,259,257,254,251,247,243]),
[iquote('0:MRR:417.0,417.1,417.2,417.3,417.4,417.5,417.6,417.7,417.8,417.9,417.10,417.11,417.12,417.13,417.14,417.15,417.16,417.17,417.18,417.19,417.20,417.21,417.22,417.23,417.24,417.25,417.26,417.27,417.28,417.29,417.30,417.31,417.32,417.33,417.34,417.35,417.36,417.37,417.38,417.39,417.40,417.41,417.42,417.43,417.44,417.45,417.46,417.47,417.48,409.0,401.0,396.0,392.0,389.0,387.0,383.0,378.0,376.0,373.0,370.0,368.0,363.0,359.0,357.0,354.0,350.0,238.0,345.0,340.0,335.0,331.0,327.0,324.0,321.0,319.0,317.0,313.0,309.0,304.0,299.0,297.0,295.0,292.0,289.0,286.0,283.0,281.0,279.0,274.0,269.0,265.0,261.0,259.0,257.0,254.0,251.0,247.0,243.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG043+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.15/0.30 % WCLimit : 600
% 0.15/0.30 % DateTime : Wed Jun 8 06:52:21 EDT 2022
% 0.15/0.30 % CPUTime :
% 0.15/0.41
% 0.15/0.41 SPASS V 3.9
% 0.15/0.41 SPASS beiseite: Proof found.
% 0.15/0.41 % SZS status Theorem
% 0.15/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 73 clauses.
% 0.15/0.41 SPASS allocated 85974 KBytes.
% 0.15/0.41 SPASS spent 0:00:00.11 on the problem.
% 0.15/0.41 0:00:00.03 for the input.
% 0.15/0.41 0:00:00.05 for the FLOTTER CNF translation.
% 0.15/0.41 0:00:00.00 for inferences.
% 0.15/0.41 0:00:00.00 for the backtracking.
% 0.15/0.41 0:00:00.01 for the reduction.
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 Here is a proof with depth 0, length 178 :
% 0.15/0.41 % SZS output start Refutation
% See solution above
% 0.15/0.42 Formulae used in the proof : ax3 co1 ax2
% 0.15/0.42
%------------------------------------------------------------------------------