TSTP Solution File: SWV558-1.010 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV558-1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 : Wed Jul 20 21:44:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 44
% Syntax : Number of clauses : 155 ( 155 unt; 0 nHn; 155 RR)
% Number of literals : 155 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 55 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(select(store(u,v,w),v),w),
file('SWV558-1.010.p',unknown),
[] ).
cnf(3,axiom,
equal(store(u,v,select(u,v)),u),
file('SWV558-1.010.p',unknown),
[] ).
cnf(6,axiom,
equal(store(a1,i1,e_40),a_41),
file('SWV558-1.010.p',unknown),
[] ).
cnf(7,axiom,
equal(store(a2,i1,e_42),a_43),
file('SWV558-1.010.p',unknown),
[] ).
cnf(8,axiom,
equal(store(a_41,i2,e_44),a_45),
file('SWV558-1.010.p',unknown),
[] ).
cnf(9,axiom,
equal(store(a_43,i2,e_46),a_47),
file('SWV558-1.010.p',unknown),
[] ).
cnf(10,axiom,
equal(store(a_45,i3,e_48),a_49),
file('SWV558-1.010.p',unknown),
[] ).
cnf(11,axiom,
equal(store(a_47,i3,e_50),a_51),
file('SWV558-1.010.p',unknown),
[] ).
cnf(12,axiom,
equal(store(a_49,i4,e_52),a_53),
file('SWV558-1.010.p',unknown),
[] ).
cnf(13,axiom,
equal(store(a_51,i4,e_54),a_55),
file('SWV558-1.010.p',unknown),
[] ).
cnf(14,axiom,
equal(store(a_53,i5,e_56),a_57),
file('SWV558-1.010.p',unknown),
[] ).
cnf(15,axiom,
equal(store(a_55,i5,e_58),a_59),
file('SWV558-1.010.p',unknown),
[] ).
cnf(16,axiom,
equal(store(a_57,i6,e_60),a_61),
file('SWV558-1.010.p',unknown),
[] ).
cnf(17,axiom,
equal(store(a_59,i6,e_62),a_63),
file('SWV558-1.010.p',unknown),
[] ).
cnf(18,axiom,
equal(store(a_61,i7,e_64),a_65),
file('SWV558-1.010.p',unknown),
[] ).
cnf(19,axiom,
equal(store(a_63,i7,e_66),a_67),
file('SWV558-1.010.p',unknown),
[] ).
cnf(20,axiom,
equal(store(a_65,i8,e_68),a_69),
file('SWV558-1.010.p',unknown),
[] ).
cnf(21,axiom,
equal(store(a_67,i8,e_70),a_71),
file('SWV558-1.010.p',unknown),
[] ).
cnf(22,axiom,
equal(store(a_69,i9,e_72),a_73),
file('SWV558-1.010.p',unknown),
[] ).
cnf(23,axiom,
equal(store(a_71,i9,e_74),a_75),
file('SWV558-1.010.p',unknown),
[] ).
cnf(24,axiom,
equal(store(a_73,i10,e_76),a_77),
file('SWV558-1.010.p',unknown),
[] ).
cnf(25,axiom,
equal(store(a_75,i10,e_78),a_79),
file('SWV558-1.010.p',unknown),
[] ).
cnf(26,axiom,
equal(select(a2,i1),e_40),
file('SWV558-1.010.p',unknown),
[] ).
cnf(27,axiom,
equal(select(a1,i1),e_42),
file('SWV558-1.010.p',unknown),
[] ).
cnf(28,axiom,
equal(select(a_43,i2),e_44),
file('SWV558-1.010.p',unknown),
[] ).
cnf(29,axiom,
equal(select(a_41,i2),e_46),
file('SWV558-1.010.p',unknown),
[] ).
cnf(30,axiom,
equal(select(a_47,i3),e_48),
file('SWV558-1.010.p',unknown),
[] ).
cnf(31,axiom,
equal(select(a_45,i3),e_50),
file('SWV558-1.010.p',unknown),
[] ).
cnf(32,axiom,
equal(select(a_51,i4),e_52),
file('SWV558-1.010.p',unknown),
[] ).
cnf(33,axiom,
equal(select(a_49,i4),e_54),
file('SWV558-1.010.p',unknown),
[] ).
cnf(34,axiom,
equal(select(a_55,i5),e_56),
file('SWV558-1.010.p',unknown),
[] ).
cnf(35,axiom,
equal(select(a_53,i5),e_58),
file('SWV558-1.010.p',unknown),
[] ).
cnf(36,axiom,
equal(select(a_59,i6),e_60),
file('SWV558-1.010.p',unknown),
[] ).
cnf(37,axiom,
equal(select(a_57,i6),e_62),
file('SWV558-1.010.p',unknown),
[] ).
cnf(38,axiom,
equal(select(a_63,i7),e_64),
file('SWV558-1.010.p',unknown),
[] ).
cnf(39,axiom,
equal(select(a_61,i7),e_66),
file('SWV558-1.010.p',unknown),
[] ).
cnf(40,axiom,
equal(select(a_67,i8),e_68),
file('SWV558-1.010.p',unknown),
[] ).
cnf(41,axiom,
equal(select(a_65,i8),e_70),
file('SWV558-1.010.p',unknown),
[] ).
cnf(42,axiom,
equal(select(a_71,i9),e_72),
file('SWV558-1.010.p',unknown),
[] ).
cnf(43,axiom,
equal(select(a_69,i9),e_74),
file('SWV558-1.010.p',unknown),
[] ).
cnf(44,axiom,
equal(select(a_75,i10),e_76),
file('SWV558-1.010.p',unknown),
[] ).
cnf(45,axiom,
equal(select(a_73,i10),e_78),
file('SWV558-1.010.p',unknown),
[] ).
cnf(46,axiom,
equal(a_79,a_77),
file('SWV558-1.010.p',unknown),
[] ).
cnf(47,axiom,
~ equal(a2,a1),
file('SWV558-1.010.p',unknown),
[] ).
cnf(48,plain,
equal(store(a_75,i10,e_78),a_77),
inference(rew,[status(thm),theory(equality)],[46,25]),
[iquote('0:Rew:46.0,25.0')] ).
cnf(95,plain,
equal(store(a_73,i10,e_78),a_73),
inference(spr,[status(thm),theory(equality)],[45,3]),
[iquote('0:SpR:45.0,3.0')] ).
cnf(96,plain,
equal(store(a_75,i10,e_76),a_75),
inference(spr,[status(thm),theory(equality)],[44,3]),
[iquote('0:SpR:44.0,3.0')] ).
cnf(97,plain,
equal(store(a_69,i9,e_74),a_69),
inference(spr,[status(thm),theory(equality)],[43,3]),
[iquote('0:SpR:43.0,3.0')] ).
cnf(98,plain,
equal(store(a_71,i9,e_72),a_71),
inference(spr,[status(thm),theory(equality)],[42,3]),
[iquote('0:SpR:42.0,3.0')] ).
cnf(99,plain,
equal(store(a_65,i8,e_70),a_65),
inference(spr,[status(thm),theory(equality)],[41,3]),
[iquote('0:SpR:41.0,3.0')] ).
cnf(100,plain,
equal(store(a_67,i8,e_68),a_67),
inference(spr,[status(thm),theory(equality)],[40,3]),
[iquote('0:SpR:40.0,3.0')] ).
cnf(101,plain,
equal(store(a_61,i7,e_66),a_61),
inference(spr,[status(thm),theory(equality)],[39,3]),
[iquote('0:SpR:39.0,3.0')] ).
cnf(102,plain,
equal(store(a_63,i7,e_64),a_63),
inference(spr,[status(thm),theory(equality)],[38,3]),
[iquote('0:SpR:38.0,3.0')] ).
cnf(103,plain,
equal(store(a_57,i6,e_62),a_57),
inference(spr,[status(thm),theory(equality)],[37,3]),
[iquote('0:SpR:37.0,3.0')] ).
cnf(104,plain,
equal(store(a_59,i6,e_60),a_59),
inference(spr,[status(thm),theory(equality)],[36,3]),
[iquote('0:SpR:36.0,3.0')] ).
cnf(105,plain,
equal(store(a_53,i5,e_58),a_53),
inference(spr,[status(thm),theory(equality)],[35,3]),
[iquote('0:SpR:35.0,3.0')] ).
cnf(106,plain,
equal(store(a_55,i5,e_56),a_55),
inference(spr,[status(thm),theory(equality)],[34,3]),
[iquote('0:SpR:34.0,3.0')] ).
cnf(107,plain,
equal(store(a_49,i4,e_54),a_49),
inference(spr,[status(thm),theory(equality)],[33,3]),
[iquote('0:SpR:33.0,3.0')] ).
cnf(108,plain,
equal(store(a_51,i4,e_52),a_51),
inference(spr,[status(thm),theory(equality)],[32,3]),
[iquote('0:SpR:32.0,3.0')] ).
cnf(109,plain,
equal(store(a_45,i3,e_50),a_45),
inference(spr,[status(thm),theory(equality)],[31,3]),
[iquote('0:SpR:31.0,3.0')] ).
cnf(110,plain,
equal(store(a_47,i3,e_48),a_47),
inference(spr,[status(thm),theory(equality)],[30,3]),
[iquote('0:SpR:30.0,3.0')] ).
cnf(111,plain,
equal(store(a_41,i2,e_46),a_41),
inference(spr,[status(thm),theory(equality)],[29,3]),
[iquote('0:SpR:29.0,3.0')] ).
cnf(112,plain,
equal(store(a_43,i2,e_44),a_43),
inference(spr,[status(thm),theory(equality)],[28,3]),
[iquote('0:SpR:28.0,3.0')] ).
cnf(113,plain,
equal(store(a1,i1,e_42),a1),
inference(spr,[status(thm),theory(equality)],[27,3]),
[iquote('0:SpR:27.0,3.0')] ).
cnf(114,plain,
equal(store(a2,i1,e_40),a2),
inference(spr,[status(thm),theory(equality)],[26,3]),
[iquote('0:SpR:26.0,3.0')] ).
cnf(118,plain,
equal(select(a_77,i10),e_78),
inference(spr,[status(thm),theory(equality)],[48,1]),
[iquote('0:SpR:48.0,1.0')] ).
cnf(119,plain,
equal(select(a_77,i10),e_76),
inference(spr,[status(thm),theory(equality)],[24,1]),
[iquote('0:SpR:24.0,1.0')] ).
cnf(121,plain,
equal(select(a_75,i9),e_74),
inference(spr,[status(thm),theory(equality)],[23,1]),
[iquote('0:SpR:23.0,1.0')] ).
cnf(122,plain,
equal(select(a_73,i9),e_72),
inference(spr,[status(thm),theory(equality)],[22,1]),
[iquote('0:SpR:22.0,1.0')] ).
cnf(123,plain,
equal(select(a_71,i8),e_70),
inference(spr,[status(thm),theory(equality)],[21,1]),
[iquote('0:SpR:21.0,1.0')] ).
cnf(124,plain,
equal(select(a_69,i8),e_68),
inference(spr,[status(thm),theory(equality)],[20,1]),
[iquote('0:SpR:20.0,1.0')] ).
cnf(125,plain,
equal(select(a_67,i7),e_66),
inference(spr,[status(thm),theory(equality)],[19,1]),
[iquote('0:SpR:19.0,1.0')] ).
cnf(126,plain,
equal(select(a_65,i7),e_64),
inference(spr,[status(thm),theory(equality)],[18,1]),
[iquote('0:SpR:18.0,1.0')] ).
cnf(127,plain,
equal(select(a_63,i6),e_62),
inference(spr,[status(thm),theory(equality)],[17,1]),
[iquote('0:SpR:17.0,1.0')] ).
cnf(128,plain,
equal(select(a_61,i6),e_60),
inference(spr,[status(thm),theory(equality)],[16,1]),
[iquote('0:SpR:16.0,1.0')] ).
cnf(129,plain,
equal(select(a_59,i5),e_58),
inference(spr,[status(thm),theory(equality)],[15,1]),
[iquote('0:SpR:15.0,1.0')] ).
cnf(130,plain,
equal(select(a_57,i5),e_56),
inference(spr,[status(thm),theory(equality)],[14,1]),
[iquote('0:SpR:14.0,1.0')] ).
cnf(131,plain,
equal(select(a_55,i4),e_54),
inference(spr,[status(thm),theory(equality)],[13,1]),
[iquote('0:SpR:13.0,1.0')] ).
cnf(132,plain,
equal(select(a_53,i4),e_52),
inference(spr,[status(thm),theory(equality)],[12,1]),
[iquote('0:SpR:12.0,1.0')] ).
cnf(133,plain,
equal(select(a_51,i3),e_50),
inference(spr,[status(thm),theory(equality)],[11,1]),
[iquote('0:SpR:11.0,1.0')] ).
cnf(134,plain,
equal(select(a_49,i3),e_48),
inference(spr,[status(thm),theory(equality)],[10,1]),
[iquote('0:SpR:10.0,1.0')] ).
cnf(135,plain,
equal(select(a_47,i2),e_46),
inference(spr,[status(thm),theory(equality)],[9,1]),
[iquote('0:SpR:9.0,1.0')] ).
cnf(136,plain,
equal(select(a_45,i2),e_44),
inference(spr,[status(thm),theory(equality)],[8,1]),
[iquote('0:SpR:8.0,1.0')] ).
cnf(137,plain,
equal(select(a_43,i1),e_42),
inference(spr,[status(thm),theory(equality)],[7,1]),
[iquote('0:SpR:7.0,1.0')] ).
cnf(138,plain,
equal(select(a_41,i1),e_40),
inference(spr,[status(thm),theory(equality)],[6,1]),
[iquote('0:SpR:6.0,1.0')] ).
cnf(140,plain,
equal(e_78,e_76),
inference(rew,[status(thm),theory(equality)],[118,119]),
[iquote('0:Rew:118.0,119.0')] ).
cnf(142,plain,
equal(store(a_75,i10,e_76),a_77),
inference(rew,[status(thm),theory(equality)],[140,48]),
[iquote('0:Rew:140.0,48.0')] ).
cnf(143,plain,
equal(store(a_73,i10,e_76),a_73),
inference(rew,[status(thm),theory(equality)],[140,95]),
[iquote('0:Rew:140.0,95.0')] ).
cnf(146,plain,
equal(a_77,a_75),
inference(rew,[status(thm),theory(equality)],[96,142]),
[iquote('0:Rew:96.0,142.0')] ).
cnf(148,plain,
equal(store(a_73,i10,e_76),a_75),
inference(rew,[status(thm),theory(equality)],[146,24]),
[iquote('0:Rew:146.0,24.0')] ).
cnf(150,plain,
equal(a_75,a_73),
inference(rew,[status(thm),theory(equality)],[143,148]),
[iquote('0:Rew:143.0,148.0')] ).
cnf(152,plain,
equal(store(a_71,i9,e_74),a_73),
inference(rew,[status(thm),theory(equality)],[150,23]),
[iquote('0:Rew:150.0,23.0')] ).
cnf(154,plain,
equal(select(a_73,i9),e_74),
inference(rew,[status(thm),theory(equality)],[150,121]),
[iquote('0:Rew:150.0,121.0')] ).
cnf(157,plain,
equal(e_74,e_72),
inference(rew,[status(thm),theory(equality)],[122,154]),
[iquote('0:Rew:122.0,154.0')] ).
cnf(159,plain,
equal(store(a_69,i9,e_72),a_69),
inference(rew,[status(thm),theory(equality)],[157,97]),
[iquote('0:Rew:157.0,97.0')] ).
cnf(160,plain,
equal(a_73,a_71),
inference(rew,[status(thm),theory(equality)],[98,152,157]),
[iquote('0:Rew:98.0,152.0,157.0,152.0')] ).
cnf(161,plain,
equal(store(a_69,i9,e_72),a_71),
inference(rew,[status(thm),theory(equality)],[160,22]),
[iquote('0:Rew:160.0,22.0')] ).
cnf(169,plain,
equal(a_71,a_69),
inference(rew,[status(thm),theory(equality)],[159,161]),
[iquote('0:Rew:159.0,161.0')] ).
cnf(171,plain,
equal(store(a_67,i8,e_70),a_69),
inference(rew,[status(thm),theory(equality)],[169,21]),
[iquote('0:Rew:169.0,21.0')] ).
cnf(173,plain,
equal(select(a_69,i8),e_70),
inference(rew,[status(thm),theory(equality)],[169,123]),
[iquote('0:Rew:169.0,123.0')] ).
cnf(180,plain,
equal(e_70,e_68),
inference(rew,[status(thm),theory(equality)],[124,173]),
[iquote('0:Rew:124.0,173.0')] ).
cnf(182,plain,
equal(store(a_65,i8,e_68),a_65),
inference(rew,[status(thm),theory(equality)],[180,99]),
[iquote('0:Rew:180.0,99.0')] ).
cnf(184,plain,
equal(a_69,a_67),
inference(rew,[status(thm),theory(equality)],[100,171,180]),
[iquote('0:Rew:100.0,171.0,180.0,171.0')] ).
cnf(185,plain,
equal(store(a_65,i8,e_68),a_67),
inference(rew,[status(thm),theory(equality)],[184,20]),
[iquote('0:Rew:184.0,20.0')] ).
cnf(198,plain,
equal(a_67,a_65),
inference(rew,[status(thm),theory(equality)],[182,185]),
[iquote('0:Rew:182.0,185.0')] ).
cnf(200,plain,
equal(store(a_63,i7,e_66),a_65),
inference(rew,[status(thm),theory(equality)],[198,19]),
[iquote('0:Rew:198.0,19.0')] ).
cnf(202,plain,
equal(select(a_65,i7),e_66),
inference(rew,[status(thm),theory(equality)],[198,125]),
[iquote('0:Rew:198.0,125.0')] ).
cnf(213,plain,
equal(e_66,e_64),
inference(rew,[status(thm),theory(equality)],[126,202]),
[iquote('0:Rew:126.0,202.0')] ).
cnf(215,plain,
equal(store(a_61,i7,e_64),a_61),
inference(rew,[status(thm),theory(equality)],[213,101]),
[iquote('0:Rew:213.0,101.0')] ).
cnf(218,plain,
equal(a_65,a_63),
inference(rew,[status(thm),theory(equality)],[102,200,213]),
[iquote('0:Rew:102.0,200.0,213.0,200.0')] ).
cnf(219,plain,
equal(store(a_61,i7,e_64),a_63),
inference(rew,[status(thm),theory(equality)],[218,18]),
[iquote('0:Rew:218.0,18.0')] ).
cnf(237,plain,
equal(a_63,a_61),
inference(rew,[status(thm),theory(equality)],[215,219]),
[iquote('0:Rew:215.0,219.0')] ).
cnf(239,plain,
equal(store(a_59,i6,e_62),a_61),
inference(rew,[status(thm),theory(equality)],[237,17]),
[iquote('0:Rew:237.0,17.0')] ).
cnf(241,plain,
equal(select(a_61,i6),e_62),
inference(rew,[status(thm),theory(equality)],[237,127]),
[iquote('0:Rew:237.0,127.0')] ).
cnf(256,plain,
equal(e_62,e_60),
inference(rew,[status(thm),theory(equality)],[128,241]),
[iquote('0:Rew:128.0,241.0')] ).
cnf(258,plain,
equal(store(a_57,i6,e_60),a_57),
inference(rew,[status(thm),theory(equality)],[256,103]),
[iquote('0:Rew:256.0,103.0')] ).
cnf(262,plain,
equal(a_61,a_59),
inference(rew,[status(thm),theory(equality)],[104,239,256]),
[iquote('0:Rew:104.0,239.0,256.0,239.0')] ).
cnf(263,plain,
equal(store(a_57,i6,e_60),a_59),
inference(rew,[status(thm),theory(equality)],[262,16]),
[iquote('0:Rew:262.0,16.0')] ).
cnf(286,plain,
equal(a_59,a_57),
inference(rew,[status(thm),theory(equality)],[258,263]),
[iquote('0:Rew:258.0,263.0')] ).
cnf(288,plain,
equal(store(a_55,i5,e_58),a_57),
inference(rew,[status(thm),theory(equality)],[286,15]),
[iquote('0:Rew:286.0,15.0')] ).
cnf(290,plain,
equal(select(a_57,i5),e_58),
inference(rew,[status(thm),theory(equality)],[286,129]),
[iquote('0:Rew:286.0,129.0')] ).
cnf(309,plain,
equal(e_58,e_56),
inference(rew,[status(thm),theory(equality)],[130,290]),
[iquote('0:Rew:130.0,290.0')] ).
cnf(311,plain,
equal(store(a_53,i5,e_56),a_53),
inference(rew,[status(thm),theory(equality)],[309,105]),
[iquote('0:Rew:309.0,105.0')] ).
cnf(316,plain,
equal(a_57,a_55),
inference(rew,[status(thm),theory(equality)],[106,288,309]),
[iquote('0:Rew:106.0,288.0,309.0,288.0')] ).
cnf(317,plain,
equal(store(a_53,i5,e_56),a_55),
inference(rew,[status(thm),theory(equality)],[316,14]),
[iquote('0:Rew:316.0,14.0')] ).
cnf(345,plain,
equal(a_55,a_53),
inference(rew,[status(thm),theory(equality)],[311,317]),
[iquote('0:Rew:311.0,317.0')] ).
cnf(347,plain,
equal(store(a_51,i4,e_54),a_53),
inference(rew,[status(thm),theory(equality)],[345,13]),
[iquote('0:Rew:345.0,13.0')] ).
cnf(349,plain,
equal(select(a_53,i4),e_54),
inference(rew,[status(thm),theory(equality)],[345,131]),
[iquote('0:Rew:345.0,131.0')] ).
cnf(372,plain,
equal(e_54,e_52),
inference(rew,[status(thm),theory(equality)],[132,349]),
[iquote('0:Rew:132.0,349.0')] ).
cnf(374,plain,
equal(store(a_49,i4,e_52),a_49),
inference(rew,[status(thm),theory(equality)],[372,107]),
[iquote('0:Rew:372.0,107.0')] ).
cnf(380,plain,
equal(a_53,a_51),
inference(rew,[status(thm),theory(equality)],[108,347,372]),
[iquote('0:Rew:108.0,347.0,372.0,347.0')] ).
cnf(381,plain,
equal(store(a_49,i4,e_52),a_51),
inference(rew,[status(thm),theory(equality)],[380,12]),
[iquote('0:Rew:380.0,12.0')] ).
cnf(414,plain,
equal(a_51,a_49),
inference(rew,[status(thm),theory(equality)],[374,381]),
[iquote('0:Rew:374.0,381.0')] ).
cnf(416,plain,
equal(store(a_47,i3,e_50),a_49),
inference(rew,[status(thm),theory(equality)],[414,11]),
[iquote('0:Rew:414.0,11.0')] ).
cnf(418,plain,
equal(select(a_49,i3),e_50),
inference(rew,[status(thm),theory(equality)],[414,133]),
[iquote('0:Rew:414.0,133.0')] ).
cnf(445,plain,
equal(e_50,e_48),
inference(rew,[status(thm),theory(equality)],[134,418]),
[iquote('0:Rew:134.0,418.0')] ).
cnf(447,plain,
equal(store(a_45,i3,e_48),a_45),
inference(rew,[status(thm),theory(equality)],[445,109]),
[iquote('0:Rew:445.0,109.0')] ).
cnf(454,plain,
equal(a_49,a_47),
inference(rew,[status(thm),theory(equality)],[110,416,445]),
[iquote('0:Rew:110.0,416.0,445.0,416.0')] ).
cnf(455,plain,
equal(store(a_45,i3,e_48),a_47),
inference(rew,[status(thm),theory(equality)],[454,10]),
[iquote('0:Rew:454.0,10.0')] ).
cnf(493,plain,
equal(a_47,a_45),
inference(rew,[status(thm),theory(equality)],[447,455]),
[iquote('0:Rew:447.0,455.0')] ).
cnf(495,plain,
equal(store(a_43,i2,e_46),a_45),
inference(rew,[status(thm),theory(equality)],[493,9]),
[iquote('0:Rew:493.0,9.0')] ).
cnf(497,plain,
equal(select(a_45,i2),e_46),
inference(rew,[status(thm),theory(equality)],[493,135]),
[iquote('0:Rew:493.0,135.0')] ).
cnf(528,plain,
equal(e_46,e_44),
inference(rew,[status(thm),theory(equality)],[136,497]),
[iquote('0:Rew:136.0,497.0')] ).
cnf(530,plain,
equal(store(a_41,i2,e_44),a_41),
inference(rew,[status(thm),theory(equality)],[528,111]),
[iquote('0:Rew:528.0,111.0')] ).
cnf(538,plain,
equal(a_45,a_43),
inference(rew,[status(thm),theory(equality)],[112,495,528]),
[iquote('0:Rew:112.0,495.0,528.0,495.0')] ).
cnf(539,plain,
equal(store(a_41,i2,e_44),a_43),
inference(rew,[status(thm),theory(equality)],[538,8]),
[iquote('0:Rew:538.0,8.0')] ).
cnf(582,plain,
equal(a_43,a_41),
inference(rew,[status(thm),theory(equality)],[530,539]),
[iquote('0:Rew:530.0,539.0')] ).
cnf(584,plain,
equal(store(a2,i1,e_42),a_41),
inference(rew,[status(thm),theory(equality)],[582,7]),
[iquote('0:Rew:582.0,7.0')] ).
cnf(586,plain,
equal(select(a_41,i1),e_42),
inference(rew,[status(thm),theory(equality)],[582,137]),
[iquote('0:Rew:582.0,137.0')] ).
cnf(621,plain,
equal(e_42,e_40),
inference(rew,[status(thm),theory(equality)],[138,586]),
[iquote('0:Rew:138.0,586.0')] ).
cnf(623,plain,
equal(store(a1,i1,e_40),a1),
inference(rew,[status(thm),theory(equality)],[621,113]),
[iquote('0:Rew:621.0,113.0')] ).
cnf(632,plain,
equal(a2,a_41),
inference(rew,[status(thm),theory(equality)],[114,584,621]),
[iquote('0:Rew:114.0,584.0,621.0,584.0')] ).
cnf(633,plain,
~ equal(a1,a_41),
inference(rew,[status(thm),theory(equality)],[632,47]),
[iquote('0:Rew:632.0,47.0')] ).
cnf(639,plain,
equal(a1,a_41),
inference(rew,[status(thm),theory(equality)],[6,623]),
[iquote('0:Rew:6.0,623.0')] ).
cnf(640,plain,
$false,
inference(mrr,[status(thm)],[639,633]),
[iquote('0:MRR:639.0,633.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV558-1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n011.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 : Tue Jun 14 18:53:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 488 clauses, backtracked 0 clauses, performed 0 splits and kept 459 clauses.
% 0.19/0.45 SPASS allocated 63494 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.05 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 1, length 155 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : a1 a3 hyp0 hyp1 hyp2 hyp3 hyp4 hyp5 hyp6 hyp7 hyp8 hyp9 hyp10 hyp11 hyp12 hyp13 hyp14 hyp15 hyp16 hyp17 hyp18 hyp19 hyp20 hyp21 hyp22 hyp23 hyp24 hyp25 hyp26 hyp27 hyp28 hyp29 hyp30 hyp31 hyp32 hyp33 hyp34 hyp35 hyp36 hyp37 hyp38 hyp39 hyp40 goal
% 0.19/0.46
%------------------------------------------------------------------------------