TSTP Solution File: PUZ071+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ071+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 : Mon Jul 18 18:27:28 EDT 2022

% Result   : Satisfiable 2.38s 2.57s
% Output   : Saturation 2.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 24773)

% Comments : 
%------------------------------------------------------------------------------
cnf(26009,plain,
    ssP(n4,n5,n7,n9,n8,n1,n3,n6,n2,n8,n3,n9,n2,n5,n6,n4,n7,n1,n1,n2,n6,n4,n3,n7,n9,n8,n5,n9,n4,n1,n6,n7,n2,n5,n3,n8,n5,n7,n8,n3,n4,n9,n2,n1,n6,n3,n6,n2,n8,n1,n5,n7,n4,n9,n2,n1,n3,n5,n6,n4,n8,n9,n7,n7,n8,n5,n1,n9,n3,n6,n2,n4,n6,n9,n4,n7,n2,n8,n1,n5,n3),
    inference(rew,[status(thm),theory(equality)],[25616,25105,25587,25570,25778,25929,25602,25832,25904,25891,25682,25863,26000,25938,25779,25817,25780,25699,25698,25697,25763,25862,25991,25903,25980,25959,25646,25948,25664,25738,25752,25958,25848]),
    [iquote('9:Rew:25616.0,25105.0,25587.0,25105.0,25570.0,25105.0,25778.0,25105.0,25929.0,25105.0,25602.0,25105.0,25832.0,25105.0,25904.0,25105.0,25891.0,25105.0,25682.0,25105.0,25863.0,25105.0,26000.0,25105.0,25938.0,25105.0,25779.0,25105.0,25817.0,25105.0,25780.0,25105.0,25699.0,25105.0,25698.0,25105.0,25697.0,25105.0,25763.0,25105.0,25862.0,25105.0,25991.0,25105.0,25903.0,25105.0,25980.0,25105.0,25959.0,25105.0,25646.0,25105.0,25948.0,25105.0,25664.0,25105.0,25738.0,25105.0,25752.0,25105.0,25958.0,25105.0,25848.0,25105.0')] ).

cnf(26000,plain,
    equal(ssA(n3,n7),n9),
    inference(mrr,[status(thm)],[24793,25594,25826,25886]),
    [iquote('9:MRR:24793.1,24793.2,24793.3,25594.0,25826.0,25886.0')] ).

cnf(25991,plain,
    equal(ssA(n7,n5),n6),
    inference(mrr,[status(thm)],[25990,23,33]),
    [iquote('9:MRR:25990.0,25990.1,23.0,33.0')] ).

cnf(25980,plain,
    equal(ssA(n7,n8),n9),
    inference(mrr,[status(thm)],[25644,25976]),
    [iquote('9:MRR:25644.1,25976.0')] ).

cnf(25959,plain,
    equal(ssA(n8,n5),n9),
    inference(mrr,[status(thm)],[25663,25955]),
    [iquote('9:MRR:25663.1,25955.0')] ).

cnf(25948,plain,
    equal(ssA(n8,n8),n2),
    inference(mrr,[status(thm)],[25858,11]),
    [iquote('9:MRR:25858.1,11.0')] ).

cnf(25958,plain,
    equal(ssA(n9,n5),n2),
    inference(mrr,[status(thm)],[1846,25955]),
    [iquote('9:MRR:1846.1,25955.0')] ).

cnf(25938,plain,
    equal(ssA(n3,n9),n5),
    inference(mrr,[status(thm)],[25812,29]),
    [iquote('9:MRR:25812.0,29.0')] ).

cnf(25929,plain,
    equal(ssA(n2,n3),n9),
    inference(mrr,[status(thm)],[25696,33]),
    [iquote('9:MRR:25696.0,33.0')] ).

cnf(25904,plain,
    equal(ssA(n2,n6),n6),
    inference(mrr,[status(thm)],[25059,25887]),
    [iquote('9:MRR:25059.1,25887.0')] ).

cnf(25903,plain,
    equal(ssA(n7,n6),n4),
    inference(mrr,[status(thm)],[24998,25887]),
    [iquote('9:MRR:24998.1,25887.0')] ).

cnf(25891,plain,
    equal(ssA(n2,n7),n4),
    inference(mrr,[status(thm)],[25680,25886]),
    [iquote('9:MRR:25680.0,25886.0')] ).

cnf(25863,plain,
    equal(ssA(n3,n4),n4),
    inference(mrr,[status(thm)],[25643,25839]),
    [iquote('9:MRR:25643.1,25839.0')] ).

cnf(25862,plain,
    equal(ssA(n7,n4),n5),
    inference(mrr,[status(thm)],[25634,25839]),
    [iquote('9:MRR:25634.1,25839.0')] ).

cnf(25848,plain,
    equal(ssA(n9,n8),n5),
    inference(mrr,[status(thm)],[21969,25838]),
    [iquote('9:MRR:21969.0,25838.0')] ).

cnf(25832,plain,
    equal(ssA(n2,n5),n5),
    inference(mrr,[status(thm)],[25632,25825]),
    [iquote('9:MRR:25632.1,25825.0')] ).

cnf(25817,plain,
    equal(ssA(n4,n7),n5),
    inference(mrr,[status(thm)],[25020,25773]),
    [iquote('9:MRR:25020.0,25773.0')] ).

cnf(25780,plain,
    equal(ssA(n4,n9),n8),
    inference(mrr,[status(thm)],[21928,25735]),
    [iquote('9:MRR:21928.1,25735.0')] ).

cnf(25779,plain,
    equal(ssA(n4,n1),n9),
    inference(mrr,[status(thm)],[25019,25735]),
    [iquote('9:MRR:25019.1,25735.0')] ).

cnf(25778,plain,
    equal(ssA(n2,n1),n8),
    inference(mrr,[status(thm)],[25026,25735]),
    [iquote('9:MRR:25026.0,25735.0')] ).

cnf(25763,plain,
    equal(ssA(n6,n9),n9),
    inference(mrr,[status(thm)],[25041,25709]),
    [iquote('9:MRR:25041.1,25709.0')] ).

cnf(25752,plain,
    equal(ssA(n9,n2),n9),
    inference(mrr,[status(thm)],[21967,25707]),
    [iquote('9:MRR:21967.1,25707.0')] ).

cnf(25738,plain,
    equal(ssA(n9,n1),n6),
    inference(mrr,[status(thm)],[25022,25692]),
    [iquote('9:MRR:25022.1,25692.0')] ).

cnf(25699,plain,
    equal(ssA(n5,n3),n8),
    inference(mrr,[status(thm)],[25031,25691]),
    [iquote('9:MRR:25031.1,25691.0')] ).

cnf(25698,plain,
    equal(ssA(n5,n9),n6),
    inference(mrr,[status(thm)],[25000,25691]),
    [iquote('9:MRR:25000.1,25691.0')] ).

cnf(25697,plain,
    equal(ssA(n6,n2),n6),
    inference(mrr,[status(thm)],[24999,25691]),
    [iquote('9:MRR:24999.1,25691.0')] ).

cnf(25682,plain,
    equal(ssA(n3,n3),n6),
    inference(mrr,[status(thm)],[25069,25600,25594]),
    [iquote('9:MRR:25069.1,25069.2,25600.0,25594.0')] ).

cnf(25664,plain,
    equal(ssA(n8,n9),n4),
    inference(mrr,[status(thm)],[25662,23]),
    [iquote('9:MRR:25662.1,23.0')] ).

cnf(25646,plain,
    equal(ssA(n8,n7),n6),
    inference(mrr,[status(thm)],[25061,25594,25597]),
    [iquote('9:MRR:25061.1,25061.2,25594.0,25597.0')] ).

cnf(25616,plain,
    equal(ssA(n1,n4),n9),
    inference(mrr,[status(thm)],[24773,25579]),
    [iquote('9:MRR:24773.1,25579.0')] ).

cnf(25602,plain,
    equal(ssA(n2,n4),n2),
    inference(mrr,[status(thm)],[2238,25579]),
    [iquote('9:MRR:2238.1,25579.0')] ).

cnf(25587,plain,
    equal(ssA(n1,n8),n6),
    inference(mrr,[status(thm)],[25586,12]),
    [iquote('9:MRR:25586.0,12.0')] ).

cnf(25570,plain,
    equal(ssA(n1,n9),n2),
    inference(mrr,[status(thm)],[2501,25568]),
    [iquote('9:MRR:2501.0,25568.0')] ).

cnf(25003,plain,
    equal(ssA(n6,n6),n5),
    inference(mrr,[status(thm)],[2037,24911,24868]),
    [iquote('8:MRR:2037.0,2037.1,24911.0,24868.0')] ).

cnf(24981,plain,
    equal(ssA(n4,n6),n2),
    inference(mrr,[status(thm)],[24945,13]),
    [iquote('8:MRR:24945.1,13.0')] ).

cnf(24967,plain,
    equal(ssA(n8,n2),n8),
    inference(mrr,[status(thm)],[24928,34]),
    [iquote('8:MRR:24928.1,34.0')] ).

cnf(24950,plain,
    equal(ssA(n6,n7),n7),
    inference(mrr,[status(thm)],[2431,24946]),
    [iquote('8:MRR:2431.1,24946.0')] ).

cnf(24933,plain,
    equal(ssA(n4,n5),n7),
    inference(mrr,[status(thm)],[24859,19]),
    [iquote('8:MRR:24859.1,19.0')] ).

cnf(24913,plain,
    equal(ssA(n8,n1),n7),
    inference(mrr,[status(thm)],[2503,24894]),
    [iquote('8:MRR:2503.0,24894.0')] ).

cnf(24883,plain,
    equal(ssA(n5,n6),n9),
    inference(mrr,[status(thm)],[2038,24881]),
    [iquote('8:MRR:2038.1,24881.0')] ).

cnf(24882,plain,
    equal(ssA(n5,n2),n7),
    inference(mrr,[status(thm)],[2504,24881]),
    [iquote('8:MRR:2504.0,24881.0')] ).

cnf(24860,plain,
    equal(ssA(n3,n6),n7),
    inference(mrr,[status(thm)],[24858,19]),
    [iquote('8:MRR:24858.1,19.0')] ).

cnf(24840,plain,
    equal(ssA(n3,n5),n3),
    inference(mrr,[status(thm)],[2230,24833]),
    [iquote('8:MRR:2230.1,24833.0')] ).

cnf(24823,plain,
    equal(ssA(n2,n2),n3),
    inference(mrr,[status(thm)],[2514,24749]),
    [iquote('8:MRR:2514.1,24749.0')] ).

cnf(24804,plain,
    equal(ssA(n6,n4),n8),
    inference(mrr,[status(thm)],[24769,20]),
    [iquote('8:MRR:24769.1,20.0')] ).

cnf(24772,plain,
    equal(ssA(n1,n7),n3),
    inference(mrr,[status(thm)],[2548,24760]),
    [iquote('8:MRR:2548.1,24760.0')] ).

cnf(24751,plain,
    equal(ssA(n5,n4),n3),
    inference(mrr,[status(thm)],[2467,24750]),
    [iquote('8:MRR:2467.1,24750.0')] ).

cnf(21946,plain,
    equal(ssA(n8,n3),n5),
    inference(mrr,[status(thm)],[21945,22]),
    [iquote('4:MRR:21945.0,22.0')] ).

cnf(21929,plain,
    equal(ssA(n9,n3),n4),
    inference(mrr,[status(thm)],[2506,21901,21920]),
    [iquote('4:MRR:2506.0,2506.2,21901.0,21920.0')] ).

cnf(21909,plain,
    equal(ssA(n4,n2),n4),
    inference(mrr,[status(thm)],[1935,21907]),
    [iquote('4:MRR:1935.1,21907.0')] ).

cnf(2875,plain,
    equal(ssA(n3,n8),n8),
    inference(mrr,[status(thm)],[2188,2873]),
    [iquote('1:MRR:2188.0,2873.0')] ).

cnf(2471,plain,
    equal(ssA(n9,n9),n3),
    inference(mrr,[status(thm)],[2414,19]),
    [iquote('0:MRR:2414.0,19.0')] ).

cnf(2438,plain,
    equal(ssA(n7,n3),n3),
    inference(mrr,[status(thm)],[2413,19]),
    [iquote('0:MRR:2413.1,19.0')] ).

cnf(2394,plain,
    equal(ssA(n7,n9),n7),
    inference(mrr,[status(thm)],[2296,2374]),
    [iquote('0:MRR:2296.0,2374.0')] ).

cnf(2012,plain,
    equal(ssA(n1,n6),n1),
    inference(mrr,[status(thm)],[2010,2000]),
    [iquote('0:MRR:2010.1,2000.0')] ).

cnf(1983,plain,
    equal(ssA(n3,n1),n1),
    inference(mrr,[status(thm)],[1982,3,4,1566,1704,1702,1565,1,1564]),
    [iquote('0:MRR:1982.0,1982.1,1982.2,1982.3,1982.4,1982.5,1982.7,1982.8,3.0,4.0,1566.0,1704.0,1702.0,1565.0,1.0,1564.0')] ).

cnf(37,axiom,
    equal(ssA(n1,n1),n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(42,axiom,
    equal(ssA(n3,n2),n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(44,axiom,
    equal(ssA(n4,n4),n6),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(46,axiom,
    equal(ssA(n5,n1),n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(47,axiom,
    equal(ssA(n5,n5),n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(50,axiom,
    equal(ssA(n7,n7),n8),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(2364,plain,
    equal(ssA(n1,n3),n7),
    inference(mrr,[status(thm)],[2363,24,28,1556,34,6,1447,1445,1443]),
    [iquote('0:MRR:2363.0,2363.1,2363.3,2363.4,2363.5,2363.6,2363.7,2363.8,24.0,28.0,1556.0,34.0,6.0,1447.0,1445.0,1443.0')] ).

cnf(2120,plain,
    equal(ssA(n7,n2),n1),
    inference(mrr,[status(thm)],[2008,2112]),
    [iquote('0:MRR:2008.1,2112.0')] ).

cnf(2094,plain,
    equal(ssA(n9,n7),n1),
    inference(mrr,[status(thm)],[2092,2078]),
    [iquote('0:MRR:2092.0,2078.0')] ).

cnf(2067,plain,
    equal(ssA(n5,n8),n1),
    inference(mrr,[status(thm)],[2065,2056]),
    [iquote('0:MRR:2065.1,2056.0')] ).

cnf(2039,plain,
    equal(ssA(n6,n5),n1),
    inference(mrr,[status(thm)],[2036,2024]),
    [iquote('0:MRR:2036.0,2024.0')] ).

cnf(1904,plain,
    equal(ssA(n6,n3),n2),
    inference(mrr,[status(thm)],[1903,1589,1572,1,11,1571,1650,1584,1570]),
    [iquote('0:MRR:1903.0,1903.1,1903.2,1903.3,1903.4,1903.5,1903.6,1903.7,1589.0,1572.0,1.0,11.0,1571.0,1650.0,1584.0,1570.0')] ).

cnf(1810,plain,
    equal(ssA(n9,n6),n8),
    inference(mrr,[status(thm)],[1809,1630,1532,1628,7,1531,20,34,1530]),
    [iquote('0:MRR:1809.0,1809.1,1809.2,1809.3,1809.4,1809.5,1809.6,1809.7,1630.0,1532.0,1628.0,7.0,1531.0,20.0,34.0,1530.0')] ).

cnf(38,axiom,
    equal(ssA(n1,n2),n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(39,axiom,
    equal(ssA(n1,n5),n8),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(40,axiom,
    equal(ssA(n2,n8),n7),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(41,axiom,
    equal(ssA(n2,n9),n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(43,axiom,
    equal(ssA(n4,n3),n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(45,axiom,
    equal(ssA(n4,n8),n3),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(48,axiom,
    equal(ssA(n5,n7),n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(49,axiom,
    equal(ssA(n7,n1),n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(51,axiom,
    equal(ssA(n8,n4),n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(52,axiom,
    equal(ssA(n8,n6),n3),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(53,axiom,
    equal(ssA(n9,n4),n7),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(1,axiom,
    ~ equal(n2,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ equal(n3,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ equal(n4,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ equal(n5,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(5,axiom,
    ~ equal(n6,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ equal(n7,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ equal(n8,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ equal(n9,n1),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ equal(n3,n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(10,axiom,
    ~ equal(n2,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ equal(n5,n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(12,axiom,
    ~ equal(n6,n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(13,axiom,
    ~ equal(n7,n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(14,axiom,
    ~ equal(n8,n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(15,axiom,
    ~ equal(n9,n2),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(16,axiom,
    ~ equal(n3,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(17,axiom,
    ~ equal(n3,n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(18,axiom,
    ~ equal(n6,n3),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(19,axiom,
    ~ equal(n3,n7),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(20,axiom,
    ~ equal(n3,n8),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(21,axiom,
    ~ equal(n3,n9),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(22,axiom,
    ~ equal(n5,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(23,axiom,
    ~ equal(n6,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(24,axiom,
    ~ equal(n7,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(25,axiom,
    ~ equal(n8,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(26,axiom,
    ~ equal(n9,n4),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(27,axiom,
    ~ equal(n6,n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(28,axiom,
    ~ equal(n7,n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(29,axiom,
    ~ equal(n8,n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(30,axiom,
    ~ equal(n9,n5),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(31,axiom,
    ~ equal(n6,n7),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(32,axiom,
    ~ equal(n6,n8),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(33,axiom,
    ~ equal(n6,n9),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(34,axiom,
    ~ equal(n7,n8),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(35,axiom,
    ~ equal(n9,n7),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(36,axiom,
    ~ equal(n9,n8),
    file('PUZ071+1.p',unknown),
    [] ).

cnf(24739,plain,
    equal(ssA(n6,n1),n3),
    inference(spt,[],[24641,24436]),
    [iquote('8:Spt:24641.0,24436.1')] ).

cnf(21887,plain,
    equal(ssA(n6,n8),n4),
    inference(spt,[],[21884,14178]),
    [iquote('4:Spt:21884.0,14178.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ071+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.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 : Sat May 28 21:20:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.38/2.57  
% 2.38/2.57  SPASS V 3.9 
% 2.38/2.57  SPASS beiseite: Completion found.
% 2.38/2.57  % SZS status CounterSatisfiable
% 2.38/2.57  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.38/2.57  SPASS derived 20657 clauses, backtracked 19051 clauses, performed 34 splits and kept 24645 clauses.
% 2.38/2.57  SPASS allocated 95502 KBytes.
% 2.38/2.57  SPASS spent	0:00:02.16 on the problem.
% 2.38/2.57  		0:00:00.05 for the input.
% 2.38/2.57  		0:00:00.14 for the FLOTTER CNF translation.
% 2.38/2.57  		0:00:00.00 for inferences.
% 2.38/2.57  		0:00:00.04 for the backtracking.
% 2.38/2.57  		0:00:01.87 for the reduction.
% 2.38/2.57  
% 2.38/2.57  
% 2.38/2.57   The saturated set of worked-off clauses is :
% 2.38/2.57  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------