TSTP Solution File: ALG044+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 73
% Syntax : Number of clauses : 193 ( 86 unt; 2 nHn; 193 RR)
% Number of literals : 465 ( 0 equ; 276 neg)
% Maximal clause size : 58 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 54 ( 53 usr; 53 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('ALG044+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e0,e1),
file('ALG044+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e0,e2),
file('ALG044+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e0,e3),
file('ALG044+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ equal(e0,unit)
| skC16 ),
file('ALG044+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,e0),e0),
file('ALG044+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(e0,e1),e1),
file('ALG044+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e0,e2),e2),
file('ALG044+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(e0,e3),e3),
file('ALG044+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e1,e0),e1),
file('ALG044+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e1,e1),e3),
file('ALG044+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e1,e2),e0),
file('ALG044+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e1,e3),e2),
file('ALG044+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e2,e0),e2),
file('ALG044+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e2,e1),e0),
file('ALG044+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e2,e2),e3),
file('ALG044+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e2,e3),e1),
file('ALG044+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e3,e0),e3),
file('ALG044+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e3,e1),e2),
file('ALG044+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e3,e2),e1),
file('ALG044+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e3,e3),e0),
file('ALG044+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ equal(op(e0,e0),e0)
| skC0 ),
file('ALG044+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ equal(op(e0,e1),e1)
| skC1 ),
file('ALG044+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ equal(op(e0,e2),e2)
| skC2 ),
file('ALG044+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ equal(op(e0,e3),e3)
| skC3 ),
file('ALG044+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ equal(op(e1,e0),e1)
| skC4 ),
file('ALG044+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ equal(op(e1,e1),e3)
| skC5 ),
file('ALG044+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ equal(op(e1,e2),e0)
| skC6 ),
file('ALG044+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ equal(op(e1,e3),e2)
| skC7 ),
file('ALG044+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ equal(op(e2,e0),e2)
| skC8 ),
file('ALG044+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ equal(op(e2,e1),e0)
| skC9 ),
file('ALG044+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ equal(op(e2,e2),e3)
| skC10 ),
file('ALG044+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ equal(op(e2,e3),e1)
| skC11 ),
file('ALG044+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ equal(op(e3,e0),e3)
| skC12 ),
file('ALG044+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ equal(op(e3,e1),e2)
| skC13 ),
file('ALG044+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ equal(op(e3,e2),e1)
| skC14 ),
file('ALG044+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ equal(op(e3,e3),e0)
| skC15 ),
file('ALG044+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ equal(op(e0,e0),e0)
| skC17 ),
file('ALG044+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ equal(op(e0,e0),e0)
| skC18 ),
file('ALG044+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ equal(op(e0,e1),e1)
| skC19 ),
file('ALG044+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ equal(op(e1,e0),e1)
| skC20 ),
file('ALG044+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ equal(op(e0,e2),e2)
| skC21 ),
file('ALG044+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ equal(op(e2,e0),e2)
| skC22 ),
file('ALG044+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ equal(op(e0,e3),e3)
| skC23 ),
file('ALG044+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ equal(op(e3,e0),e3)
| skC24 ),
file('ALG044+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ equal(op(e1,e2),e0)
| skC25 ),
file('ALG044+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ equal(op(e2,e1),e0)
| skC26 ),
file('ALG044+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ equal(op(e1,e0),e1)
| skC27 ),
file('ALG044+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ equal(op(e0,e1),e1)
| skC28 ),
file('ALG044+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ equal(op(e1,e3),e2)
| skC29 ),
file('ALG044+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ equal(op(e3,e1),e2)
| skC30 ),
file('ALG044+1.p',unknown),
[] ).
cnf(149,axiom,
( ~ equal(op(e1,e1),e3)
| skC31 ),
file('ALG044+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ equal(op(e1,e1),e3)
| skC32 ),
file('ALG044+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ equal(op(e2,e1),e0)
| skC33 ),
file('ALG044+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ equal(op(e1,e2),e0)
| skC34 ),
file('ALG044+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ equal(op(e2,e3),e1)
| skC35 ),
file('ALG044+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ equal(op(e3,e2),e1)
| skC36 ),
file('ALG044+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ equal(op(e2,e0),e2)
| skC37 ),
file('ALG044+1.p',unknown),
[] ).
cnf(176,axiom,
( ~ equal(op(e0,e2),e2)
| skC38 ),
file('ALG044+1.p',unknown),
[] ).
cnf(182,axiom,
( ~ equal(op(e2,e2),e3)
| skC39 ),
file('ALG044+1.p',unknown),
[] ).
cnf(186,axiom,
( ~ equal(op(e2,e2),e3)
| skC40 ),
file('ALG044+1.p',unknown),
[] ).
cnf(191,axiom,
( ~ equal(op(e3,e3),e0)
| skC41 ),
file('ALG044+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ equal(op(e3,e3),e0)
| skC42 ),
file('ALG044+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ equal(op(e3,e2),e1)
| skC43 ),
file('ALG044+1.p',unknown),
[] ).
cnf(202,axiom,
( ~ equal(op(e2,e3),e1)
| skC44 ),
file('ALG044+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ equal(op(e3,e1),e2)
| skC45 ),
file('ALG044+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ equal(op(e1,e3),e2)
| skC46 ),
file('ALG044+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ equal(op(e3,e0),e3)
| skC47 ),
file('ALG044+1.p',unknown),
[] ).
cnf(218,axiom,
( ~ skC49
| equal(op(e2,e2),e0) ),
file('ALG044+1.p',unknown),
[] ).
cnf(223,axiom,
( ~ skC50
| equal(op(e3,e3),e1) ),
file('ALG044+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ skC51
| equal(op(e3,e3),e2) ),
file('ALG044+1.p',unknown),
[] ).
cnf(231,axiom,
( ~ skC48
| equal(op(e3,e3),e3)
| skC49
| skC50
| skC51 ),
file('ALG044+1.p',unknown),
[] ).
cnf(235,axiom,
( ~ equal(op(e0,e3),e3)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ 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)
| ~ 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 ),
file('ALG044+1.p',unknown),
[] ).
cnf(236,plain,
~ equal(unit,e3),
inference(rew,[status(thm),theory(equality)],[1,4]),
[iquote('0:Rew:1.0,4.0')] ).
cnf(237,plain,
~ equal(unit,e2),
inference(rew,[status(thm),theory(equality)],[1,3]),
[iquote('0:Rew:1.0,3.0')] ).
cnf(238,plain,
~ equal(unit,e1),
inference(rew,[status(thm),theory(equality)],[1,2]),
[iquote('0:Rew:1.0,2.0')] ).
cnf(239,plain,
equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,27]),
[iquote('0:Rew:1.0,27.0')] ).
cnf(240,plain,
equal(op(e3,unit),e3),
inference(rew,[status(thm),theory(equality)],[1,24]),
[iquote('0:Rew:1.0,24.0')] ).
cnf(241,plain,
equal(op(e2,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,21]),
[iquote('0:Rew:1.0,21.0')] ).
cnf(242,plain,
equal(op(e2,unit),e2),
inference(rew,[status(thm),theory(equality)],[1,20]),
[iquote('0:Rew:1.0,20.0')] ).
cnf(243,plain,
equal(op(e1,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,18]),
[iquote('0:Rew:1.0,18.0')] ).
cnf(244,plain,
equal(op(e1,unit),e1),
inference(rew,[status(thm),theory(equality)],[1,16]),
[iquote('0:Rew:1.0,16.0')] ).
cnf(245,plain,
equal(op(unit,e3),e3),
inference(rew,[status(thm),theory(equality)],[1,15]),
[iquote('0:Rew:1.0,15.0')] ).
cnf(246,plain,
equal(op(unit,e2),e2),
inference(rew,[status(thm),theory(equality)],[1,14]),
[iquote('0:Rew:1.0,14.0')] ).
cnf(247,plain,
equal(op(unit,e1),e1),
inference(rew,[status(thm),theory(equality)],[1,13]),
[iquote('0:Rew:1.0,13.0')] ).
cnf(248,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(249,plain,
( ~ equal(unit,unit)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[1,8]),
[iquote('0:Rew:1.0,8.0')] ).
cnf(250,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[249]),
[iquote('0:Obv:249.0')] ).
cnf(251,plain,
( ~ skC51
| equal(unit,e2) ),
inference(rew,[status(thm),theory(equality)],[239,227]),
[iquote('0:Rew:239.0,227.1')] ).
cnf(252,plain,
~ skC51,
inference(mrr,[status(thm)],[251,237]),
[iquote('0:MRR:251.1,237.0')] ).
cnf(253,plain,
( ~ skC50
| equal(unit,e1) ),
inference(rew,[status(thm),theory(equality)],[239,223]),
[iquote('0:Rew:239.0,223.1')] ).
cnf(254,plain,
~ skC50,
inference(mrr,[status(thm)],[253,238]),
[iquote('0:MRR:253.1,238.0')] ).
cnf(256,plain,
( ~ skC49
| equal(unit,e3) ),
inference(rew,[status(thm),theory(equality)],[22,218,1]),
[iquote('0:Rew:22.0,218.1,1.0,218.1')] ).
cnf(257,plain,
~ skC49,
inference(mrr,[status(thm)],[256,236]),
[iquote('0:MRR:256.1,236.0')] ).
cnf(261,plain,
( ~ equal(e3,e3)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[240,212,1]),
[iquote('0:Rew:240.0,212.0,1.0,212.0')] ).
cnf(262,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[261]),
[iquote('0:Obv:261.0')] ).
cnf(265,plain,
( ~ equal(e2,e2)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[19,209]),
[iquote('0:Rew:19.0,209.0')] ).
cnf(266,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[265]),
[iquote('0:Obv:265.0')] ).
cnf(269,plain,
( ~ equal(e2,e2)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[25,205]),
[iquote('0:Rew:25.0,205.0')] ).
cnf(270,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[269]),
[iquote('0:Obv:269.0')] ).
cnf(272,plain,
( ~ equal(e1,e1)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[23,202]),
[iquote('0:Rew:23.0,202.0')] ).
cnf(273,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[272]),
[iquote('0:Obv:272.0')] ).
cnf(275,plain,
( ~ equal(e1,e1)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[26,198]),
[iquote('0:Rew:26.0,198.0')] ).
cnf(276,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[275]),
[iquote('0:Obv:275.0')] ).
cnf(277,plain,
( ~ equal(unit,unit)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[239,195,1]),
[iquote('0:Rew:239.0,195.0,1.0,195.0')] ).
cnf(278,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[277]),
[iquote('0:Obv:277.0')] ).
cnf(279,plain,
( ~ equal(unit,unit)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[239,191,1]),
[iquote('0:Rew:239.0,191.0,1.0,191.0')] ).
cnf(280,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[279]),
[iquote('0:Obv:279.0')] ).
cnf(282,plain,
( ~ equal(e3,e3)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[22,186]),
[iquote('0:Rew:22.0,186.0')] ).
cnf(283,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[282]),
[iquote('0:Obv:282.0')] ).
cnf(285,plain,
( ~ equal(e3,e3)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[22,182]),
[iquote('0:Rew:22.0,182.0')] ).
cnf(286,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[285]),
[iquote('0:Obv:285.0')] ).
cnf(290,plain,
( ~ equal(e2,e2)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[246,176,1]),
[iquote('0:Rew:246.0,176.0,1.0,176.0')] ).
cnf(291,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[290]),
[iquote('0:Obv:290.0')] ).
cnf(295,plain,
( ~ equal(e2,e2)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[242,172,1]),
[iquote('0:Rew:242.0,172.0,1.0,172.0')] ).
cnf(296,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[295]),
[iquote('0:Obv:295.0')] ).
cnf(297,plain,
( ~ equal(e1,e1)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[26,171]),
[iquote('0:Rew:26.0,171.0')] ).
cnf(298,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[297]),
[iquote('0:Obv:297.0')] ).
cnf(299,plain,
( ~ equal(e1,e1)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[23,167]),
[iquote('0:Rew:23.0,167.0')] ).
cnf(300,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[299]),
[iquote('0:Obv:299.0')] ).
cnf(303,plain,
( ~ equal(unit,unit)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[243,161,1]),
[iquote('0:Rew:243.0,161.0,1.0,161.0')] ).
cnf(304,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[303]),
[iquote('0:Obv:303.0')] ).
cnf(307,plain,
( ~ equal(unit,unit)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[241,157,1]),
[iquote('0:Rew:241.0,157.0,1.0,157.0')] ).
cnf(308,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[307]),
[iquote('0:Obv:307.0')] ).
cnf(311,plain,
( ~ equal(e3,e3)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[17,153]),
[iquote('0:Rew:17.0,153.0')] ).
cnf(312,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[311]),
[iquote('0:Obv:311.0')] ).
cnf(315,plain,
( ~ equal(e3,e3)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[17,149]),
[iquote('0:Rew:17.0,149.0')] ).
cnf(316,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[315]),
[iquote('0:Obv:315.0')] ).
cnf(317,plain,
( ~ equal(e2,e2)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[25,147]),
[iquote('0:Rew:25.0,147.0')] ).
cnf(318,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[317]),
[iquote('0:Obv:317.0')] ).
cnf(319,plain,
( ~ equal(e2,e2)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[19,143]),
[iquote('0:Rew:19.0,143.0')] ).
cnf(320,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[319]),
[iquote('0:Obv:319.0')] ).
cnf(324,plain,
( ~ equal(e1,e1)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[247,136,1]),
[iquote('0:Rew:247.0,136.0,1.0,136.0')] ).
cnf(325,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[324]),
[iquote('0:Obv:324.0')] ).
cnf(329,plain,
( ~ equal(e1,e1)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[244,132,1]),
[iquote('0:Rew:244.0,132.0,1.0,132.0')] ).
cnf(330,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[329]),
[iquote('0:Obv:329.0')] ).
cnf(332,plain,
( ~ equal(unit,unit)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[241,130,1]),
[iquote('0:Rew:241.0,130.0,1.0,130.0')] ).
cnf(333,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[332]),
[iquote('0:Obv:332.0')] ).
cnf(335,plain,
( ~ equal(unit,unit)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[243,126,1]),
[iquote('0:Rew:243.0,126.0,1.0,126.0')] ).
cnf(336,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[335]),
[iquote('0:Obv:335.0')] ).
cnf(337,plain,
( ~ equal(e3,e3)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[240,123,1]),
[iquote('0:Rew:240.0,123.0,1.0,123.0')] ).
cnf(338,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[337]),
[iquote('0:Obv:337.0')] ).
cnf(339,plain,
( ~ equal(e3,e3)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[245,119,1]),
[iquote('0:Rew:245.0,119.0,1.0,119.0')] ).
cnf(340,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[339]),
[iquote('0:Obv:339.0')] ).
cnf(342,plain,
( ~ equal(e2,e2)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[242,114,1]),
[iquote('0:Rew:242.0,114.0,1.0,114.0')] ).
cnf(343,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[342]),
[iquote('0:Obv:342.0')] ).
cnf(345,plain,
( ~ equal(e2,e2)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[246,110,1]),
[iquote('0:Rew:246.0,110.0,1.0,110.0')] ).
cnf(346,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[345]),
[iquote('0:Obv:345.0')] ).
cnf(349,plain,
( ~ equal(e1,e1)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[244,105,1]),
[iquote('0:Rew:244.0,105.0,1.0,105.0')] ).
cnf(350,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[349]),
[iquote('0:Obv:349.0')] ).
cnf(353,plain,
( ~ equal(e1,e1)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[247,101,1]),
[iquote('0:Rew:247.0,101.0,1.0,101.0')] ).
cnf(354,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[353]),
[iquote('0:Obv:353.0')] ).
cnf(358,plain,
( ~ equal(unit,unit)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[248,96,1]),
[iquote('0:Rew:248.0,96.0,1.0,96.0')] ).
cnf(359,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[358]),
[iquote('0:Obv:358.0')] ).
cnf(363,plain,
( ~ equal(unit,unit)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[248,92,1]),
[iquote('0:Rew:248.0,92.0,1.0,92.0')] ).
cnf(364,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[363]),
[iquote('0:Obv:363.0')] ).
cnf(368,plain,
( ~ equal(unit,unit)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[239,88,1]),
[iquote('0:Rew:239.0,88.0,1.0,88.0')] ).
cnf(369,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[368]),
[iquote('0:Obv:368.0')] ).
cnf(372,plain,
( ~ equal(e1,e1)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[26,85]),
[iquote('0:Rew:26.0,85.0')] ).
cnf(373,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[372]),
[iquote('0:Obv:372.0')] ).
cnf(375,plain,
( ~ equal(e2,e2)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[25,82]),
[iquote('0:Rew:25.0,82.0')] ).
cnf(376,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[375]),
[iquote('0:Obv:375.0')] ).
cnf(377,plain,
( ~ equal(e3,e3)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[240,79,1]),
[iquote('0:Rew:240.0,79.0,1.0,79.0')] ).
cnf(378,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[377]),
[iquote('0:Obv:377.0')] ).
cnf(381,plain,
( ~ equal(e1,e1)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[23,73]),
[iquote('0:Rew:23.0,73.0')] ).
cnf(382,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[381]),
[iquote('0:Obv:381.0')] ).
cnf(383,plain,
( ~ equal(e3,e3)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[22,71]),
[iquote('0:Rew:22.0,71.0')] ).
cnf(384,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[383]),
[iquote('0:Obv:383.0')] ).
cnf(388,plain,
( ~ equal(unit,unit)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[241,64,1]),
[iquote('0:Rew:241.0,64.0,1.0,64.0')] ).
cnf(389,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[388]),
[iquote('0:Obv:388.0')] ).
cnf(391,plain,
( ~ equal(e2,e2)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[242,62,1]),
[iquote('0:Rew:242.0,62.0,1.0,62.0')] ).
cnf(392,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[391]),
[iquote('0:Obv:391.0')] ).
cnf(394,plain,
( ~ equal(e2,e2)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[19,58]),
[iquote('0:Rew:19.0,58.0')] ).
cnf(395,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[394]),
[iquote('0:Obv:394.0')] ).
cnf(399,plain,
( ~ equal(unit,unit)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[243,52,1]),
[iquote('0:Rew:243.0,52.0,1.0,52.0')] ).
cnf(400,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[399]),
[iquote('0:Obv:399.0')] ).
cnf(401,plain,
( ~ equal(e3,e3)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[17,51]),
[iquote('0:Rew:17.0,51.0')] ).
cnf(402,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[401]),
[iquote('0:Obv:401.0')] ).
cnf(405,plain,
( ~ equal(e1,e1)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[244,45,1]),
[iquote('0:Rew:244.0,45.0,1.0,45.0')] ).
cnf(406,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[405]),
[iquote('0:Obv:405.0')] ).
cnf(407,plain,
( ~ equal(e3,e3)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[245,43,1]),
[iquote('0:Rew:245.0,43.0,1.0,43.0')] ).
cnf(408,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[407]),
[iquote('0:Obv:407.0')] ).
cnf(410,plain,
( ~ equal(e2,e2)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[246,38,1]),
[iquote('0:Rew:246.0,38.0,1.0,38.0')] ).
cnf(411,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[410]),
[iquote('0:Obv:410.0')] ).
cnf(414,plain,
( ~ equal(e1,e1)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[247,33,1]),
[iquote('0:Rew:247.0,33.0,1.0,33.0')] ).
cnf(415,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[414]),
[iquote('0:Obv:414.0')] ).
cnf(419,plain,
( ~ equal(unit,unit)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[248,28,1]),
[iquote('0:Rew:248.0,28.0,1.0,28.0')] ).
cnf(420,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[419]),
[iquote('0:Obv:419.0')] ).
cnf(421,plain,
( ~ skC48
| equal(unit,e3)
| skC49
| skC50
| skC51 ),
inference(rew,[status(thm),theory(equality)],[239,231]),
[iquote('0:Rew:239.0,231.1')] ).
cnf(422,plain,
~ skC48,
inference(mrr,[status(thm)],[421,236,257,254,252]),
[iquote('0:MRR:421.1,421.2,421.3,421.4,236.0,257.0,254.0,252.0')] ).
cnf(429,plain,
( ~ equal(e3,e3)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ 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(rew,[status(thm),theory(equality)],[240,235,245,242,246,244,247,248,1]),
[iquote('0:Rew:240.0,235.24,245.0,235.23,242.0,235.22,246.0,235.21,244.0,235.20,247.0,235.19,248.0,235.18,1.0,235.18,248.0,235.17,1.0,235.17,245.0,235.0,1.0,235.0')] ).
cnf(430,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)],[429]),
[iquote('0:Obv:429.24')] ).
cnf(431,plain,
$false,
inference(mrr,[status(thm)],[430,420,415,411,408,406,402,400,395,392,389,384,382,378,376,373,369,250,364,359,354,350,346,343,340,338,336,333,330,325,320,318,316,312,308,304,300,298,296,291,286,283,280,278,276,273,270,266,262,422]),
[iquote('0:MRR:430.0,430.1,430.2,430.3,430.4,430.5,430.6,430.7,430.8,430.9,430.10,430.11,430.12,430.13,430.14,430.15,430.16,430.17,430.18,430.19,430.20,430.21,430.22,430.23,430.24,430.25,430.26,430.27,430.28,430.29,430.30,430.31,430.32,430.33,430.34,430.35,430.36,430.37,430.38,430.39,430.40,430.41,430.42,430.43,430.44,430.45,430.46,430.47,430.48,420.0,415.0,411.0,408.0,406.0,402.0,400.0,395.0,392.0,389.0,384.0,382.0,378.0,376.0,373.0,369.0,250.0,364.0,359.0,354.0,350.0,346.0,343.0,340.0,338.0,336.0,333.0,330.0,325.0,320.0,318.0,316.0,312.0,308.0,304.0,300.0,298.0,296.0,291.0,286.0,283.0,280.0,278.0,276.0,273.0,270.0,266.0,262.0,422.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG044+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 00:29:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 76 clauses.
% 0.19/0.48 SPASS allocated 86009 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.07 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.00 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.01 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 0, length 193 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : ax3 ax1 co1 ax2
% 0.19/0.49
%------------------------------------------------------------------------------