TSTP Solution File: PUZ066+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ066+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 18:27:27 EDT 2022

% Result   : Satisfiable 0.70s 0.88s
% Output   : Saturation 0.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 2726)

% Comments : 
%------------------------------------------------------------------------------
cnf(4725,plain,
    ssP(n7,n6,n8,n2,n4,n3,n5,n1,n9,n5,n1,n3,n7,n6,n9,n8,n2,n4,n2,n4,n9,n1,n8,n5,n3,n7,n6,n6,n7,n5,n9,n2,n8,n4,n3,n1,n8,n3,n4,n5,n7,n1,n6,n9,n2,n1,n9,n2,n4,n3,n6,n7,n5,n8,n3,n2,n7,n8,n1,n4,n9,n6,n5,n9,n8,n1,n6,n5,n7,n2,n4,n3,n4,n5,n6,n3,n9,n2,n1,n8,n7),
    inference(rew,[status(thm),theory(equality)],[4546,4341,4365,4513,4594,4525,4488,4461,4547,4707,4630,4568,4697,4716,4489,4477,4428,4429,4392,4567,4524,4410,4641,4610,4342,4651,4674,4687,4663]),
    [iquote('4:Rew:4546.0,4341.0,4365.0,4341.0,4513.0,4341.0,4594.0,4341.0,4525.0,4341.0,4488.0,4341.0,4461.0,4341.0,4547.0,4341.0,4707.0,4341.0,4630.0,4341.0,4568.0,4341.0,4697.0,4341.0,4716.0,4341.0,4489.0,4341.0,4477.0,4341.0,4428.0,4341.0,4429.0,4341.0,4392.0,4341.0,4567.0,4341.0,4524.0,4341.0,4410.0,4341.0,4641.0,4341.0,4610.0,4341.0,4342.0,4341.0,4651.0,4341.0,4674.0,4341.0,4687.0,4341.0,4663.0,4341.0')] ).

cnf(4716,plain,
    equal(ssA(n4,n6),n8),
    inference(mrr,[status(thm)],[4629,4693]),
    [iquote('4:MRR:4629.1,4693.0')] ).

cnf(4707,plain,
    equal(ssA(n3,n5),n8),
    inference(mrr,[status(thm)],[4608,4617]),
    [iquote('4:MRR:4608.0,4617.0')] ).

cnf(4697,plain,
    equal(ssA(n4,n5),n2),
    inference(mrr,[status(thm)],[2767,4693]),
    [iquote('4:MRR:2767.0,4693.0')] ).

cnf(4687,plain,
    equal(ssA(n9,n6),n2),
    inference(mrr,[status(thm)],[4683,15]),
    [iquote('4:MRR:4683.1,15.0')] ).

cnf(4674,plain,
    equal(ssA(n9,n5),n9),
    inference(mrr,[status(thm)],[4512,4604]),
    [iquote('4:MRR:4512.0,4604.0')] ).

cnf(4663,plain,
    equal(ssA(n9,n8),n8),
    inference(mrr,[status(thm)],[4455,4509]),
    [iquote('4:MRR:4455.0,4509.0')] ).

cnf(4651,plain,
    equal(ssA(n9,n2),n5),
    inference(mrr,[status(thm)],[4409,4649]),
    [iquote('4:MRR:4409.0,4649.0')] ).

cnf(4641,plain,
    equal(ssA(n8,n2),n8),
    inference(mrr,[status(thm)],[2428,4618]),
    [iquote('4:MRR:2428.1,4618.0')] ).

cnf(4630,plain,
    equal(ssA(n3,n6),n5),
    inference(mrr,[status(thm)],[3056,4617]),
    [iquote('4:MRR:3056.0,4617.0')] ).

cnf(4610,plain,
    equal(ssA(n8,n5),n5),
    inference(mrr,[status(thm)],[4388,4577]),
    [iquote('4:MRR:4388.0,4577.0')] ).

cnf(4594,plain,
    equal(ssA(n2,n6),n9),
    inference(mrr,[status(thm)],[4367,4544]),
    [iquote('4:MRR:4367.1,4544.0')] ).

cnf(4568,plain,
    equal(ssA(n4,n4),n9),
    inference(mrr,[status(thm)],[2756,4534]),
    [iquote('4:MRR:2756.1,4534.0')] ).

cnf(4567,plain,
    equal(ssA(n7,n4),n8),
    inference(mrr,[status(thm)],[2465,4534]),
    [iquote('4:MRR:2465.0,4534.0')] ).

cnf(4547,plain,
    equal(ssA(n3,n3),n9),
    inference(mrr,[status(thm)],[2753,4521]),
    [iquote('4:MRR:2753.1,4521.0')] ).

cnf(4546,plain,
    equal(ssA(n1,n3),n8),
    inference(mrr,[status(thm)],[2726,4521]),
    [iquote('4:MRR:2726.0,4521.0')] ).

cnf(4525,plain,
    equal(ssA(n2,n7),n8),
    inference(mrr,[status(thm)],[3014,4520]),
    [iquote('4:MRR:3014.0,4520.0')] ).

cnf(4524,plain,
    equal(ssA(n7,n7),n9),
    inference(mrr,[status(thm)],[3017,4520]),
    [iquote('4:MRR:3017.1,4520.0')] ).

cnf(4513,plain,
    equal(ssA(n1,n9),n9),
    inference(mrr,[status(thm)],[4391,4450]),
    [iquote('4:MRR:4391.1,4450.0')] ).

cnf(4489,plain,
    equal(ssA(n5,n8),n9),
    inference(mrr,[status(thm)],[2991,4485]),
    [iquote('4:MRR:2991.1,4485.0')] ).

cnf(4488,plain,
    equal(ssA(n2,n8),n2),
    inference(mrr,[status(thm)],[2987,4485]),
    [iquote('4:MRR:2987.1,4485.0')] ).

cnf(4477,plain,
    equal(ssA(n5,n9),n2),
    inference(mrr,[status(thm)],[4472,10]),
    [iquote('4:MRR:4472.0,10.0')] ).

cnf(4461,plain,
    equal(ssA(n2,n9),n4),
    inference(mrr,[status(thm)],[4343,4377]),
    [iquote('4:MRR:4343.1,4377.0')] ).

cnf(4429,plain,
    equal(ssA(n6,n9),n8),
    inference(mrr,[status(thm)],[2985,4416]),
    [iquote('4:MRR:2985.1,4416.0')] ).

cnf(4428,plain,
    equal(ssA(n6,n8),n5),
    inference(mrr,[status(thm)],[1872,4416]),
    [iquote('4:MRR:1872.0,4416.0')] ).

cnf(4410,plain,
    equal(ssA(n7,n9),n5),
    inference(mrr,[status(thm)],[4405,11]),
    [iquote('4:MRR:4405.1,11.0')] ).

cnf(4392,plain,
    equal(ssA(n7,n2),n2),
    inference(mrr,[status(thm)],[4340,10]),
    [iquote('4:MRR:4340.1,10.0')] ).

cnf(4365,plain,
    equal(ssA(n1,n5),n4),
    inference(mrr,[status(thm)],[2784,4331]),
    [iquote('4:MRR:2784.0,4331.0')] ).

cnf(4342,plain,
    equal(ssA(n8,n8),n4),
    inference(mrr,[status(thm)],[3012,4330]),
    [iquote('4:MRR:3012.1,4330.0')] ).

cnf(2306,plain,
    equal(ssA(n6,n6),n6),
    inference(mrr,[status(thm)],[2283,2278]),
    [iquote('0:MRR:2283.0,2278.0')] ).

cnf(2993,plain,
    equal(ssA(n4,n7),n4),
    inference(mrr,[status(thm)],[2988,2977]),
    [iquote('0:MRR:2988.1,2977.0')] ).

cnf(2820,plain,
    equal(ssA(n9,n9),n7),
    inference(mrr,[status(thm)],[2818,2802]),
    [iquote('0:MRR:2818.0,2802.0')] ).

cnf(2621,plain,
    equal(ssA(n5,n5),n7),
    inference(mrr,[status(thm)],[2335,2611]),
    [iquote('0:MRR:2335.1,2611.0')] ).

cnf(2599,plain,
    equal(ssA(n6,n7),n7),
    inference(mrr,[status(thm)],[2598,2559,19,31]),
    [iquote('0:MRR:2598.0,2598.1,2598.2,2559.0,19.0,31.0')] ).

cnf(2433,plain,
    equal(ssA(n3,n7),n3),
    inference(mrr,[status(thm)],[2224,2419]),
    [iquote('0:MRR:2224.1,2419.0')] ).

cnf(2226,plain,
    equal(ssA(n7,n3),n7),
    inference(mrr,[status(thm)],[2225,6,31]),
    [iquote('0:MRR:2225.1,2225.2,6.0,31.0')] ).

cnf(2171,plain,
    equal(ssA(n6,n1),n1),
    inference(mrr,[status(thm)],[2115,2099]),
    [iquote('0:MRR:2115.0,2099.0')] ).

cnf(2145,plain,
    equal(ssA(n1,n8),n1),
    inference(mrr,[status(thm)],[2054,2039]),
    [iquote('0:MRR:2054.1,2039.0')] ).

cnf(1789,plain,
    equal(ssA(n1,n1),n7),
    inference(mrr,[status(thm)],[1106,1476,1724,1475,1599,1723,1477,1601,1600]),
    [iquote('0:MRR:1106.0,1106.1,1106.2,1106.3,1106.4,1106.5,1106.7,1106.8,1476.0,1724.0,1475.0,1599.0,1723.0,1477.0,1601.0,1600.0')] ).

cnf(40,axiom,
    equal(ssA(n2,n2),n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(41,axiom,
    equal(ssA(n2,n3),n3),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(47,axiom,
    equal(ssA(n5,n4),n5),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(48,axiom,
    equal(ssA(n6,n4),n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(3041,plain,
    equal(ssA(n2,n1),n5),
    inference(mrr,[status(thm)],[1812,3030]),
    [iquote('0:MRR:1812.0,3030.0')] ).

cnf(3026,plain,
    equal(ssA(n3,n1),n2),
    inference(mrr,[status(thm)],[3025,10,2958,1,1450,1449,9,13,12]),
    [iquote('0:MRR:3025.1,3025.2,3025.3,3025.4,3025.5,3025.6,3025.7,3025.8,10.0,2958.0,1.0,1450.0,1449.0,9.0,13.0,12.0')] ).

cnf(2969,plain,
    equal(ssA(n5,n3),n4),
    inference(mrr,[status(thm)],[2750,2955]),
    [iquote('0:MRR:2750.0,2955.0')] ).

cnf(2954,plain,
    equal(ssA(n6,n3),n2),
    inference(mrr,[status(thm)],[2748,2938]),
    [iquote('0:MRR:2748.1,2938.0')] ).

cnf(2937,plain,
    equal(ssA(n4,n3),n5),
    inference(mrr,[status(thm)],[2936,27,28,1418,1416,1414,1513,17,4]),
    [iquote('0:MRR:2936.0,2936.1,2936.3,2936.4,2936.5,2936.6,2936.7,2936.8,27.0,28.0,1418.0,1416.0,1414.0,1513.0,17.0,4.0')] ).

cnf(2840,plain,
    equal(ssA(n8,n6),n7),
    inference(mrr,[status(thm)],[2596,2832]),
    [iquote('0:MRR:2596.1,2832.0')] ).

cnf(2795,plain,
    equal(ssA(n3,n8),n7),
    inference(mrr,[status(thm)],[2794,2559,2558,2557,19,31]),
    [iquote('0:MRR:2794.0,2794.1,2794.2,2794.3,2794.5,2559.0,2558.0,2557.0,19.0,31.0')] ).

cnf(2732,plain,
    equal(ssA(n6,n2),n9),
    inference(mrr,[status(thm)],[2731,26,21]),
    [iquote('0:MRR:2731.0,2731.1,26.0,21.0')] ).

cnf(2706,plain,
    equal(ssA(n3,n2),n4),
    inference(mrr,[status(thm)],[2702,16]),
    [iquote('0:MRR:2702.1,16.0')] ).

cnf(2685,plain,
    equal(ssA(n5,n2),n3),
    inference(mrr,[status(thm)],[2251,2659]),
    [iquote('0:MRR:2251.1,2659.0')] ).

cnf(2664,plain,
    equal(ssA(n1,n6),n3),
    inference(mrr,[status(thm)],[2595,2655]),
    [iquote('0:MRR:2595.0,2655.0')] ).

cnf(2644,plain,
    equal(ssA(n6,n5),n3),
    inference(mrr,[status(thm)],[2641,19]),
    [iquote('0:MRR:2641.0,19.0')] ).

cnf(2573,plain,
    equal(ssA(n8,n9),n3),
    inference(mrr,[status(thm)],[2431,2419,2479]),
    [iquote('0:MRR:2431.0,2431.2,2419.0,2479.0')] ).

cnf(2545,plain,
    equal(ssA(n2,n4),n7),
    inference(mrr,[status(thm)],[2486,19]),
    [iquote('0:MRR:2486.1,19.0')] ).

cnf(2520,plain,
    equal(ssA(n3,n9),n6),
    inference(mrr,[status(thm)],[2331,2503]),
    [iquote('0:MRR:2331.1,2503.0')] ).

cnf(2499,plain,
    equal(ssA(n5,n7),n6),
    inference(mrr,[status(thm)],[2454,18]),
    [iquote('0:MRR:2454.0,18.0')] ).

cnf(2466,plain,
    equal(ssA(n9,n4),n3),
    inference(mrr,[status(thm)],[2333,2422]),
    [iquote('0:MRR:2333.0,2422.0')] ).

cnf(2408,plain,
    equal(ssA(n7,n1),n3),
    inference(mrr,[status(thm)],[2407,19,1464,1459,18,20,2,21,16]),
    [iquote('0:MRR:2407.0,2407.1,2407.2,2407.3,2407.4,2407.5,2407.7,2407.8,19.0,1464.0,1459.0,18.0,20.0,2.0,21.0,16.0')] ).

cnf(2285,plain,
    equal(ssA(n8,n4),n6),
    inference(mrr,[status(thm)],[2144,2278]),
    [iquote('0:MRR:2144.0,2278.0')] ).

cnf(2260,plain,
    equal(ssA(n4,n1),n6),
    inference(mrr,[status(thm)],[2259,2127,2126,5]),
    [iquote('0:MRR:2259.1,2259.2,2259.3,2127.0,2126.0,5.0')] ).

cnf(2194,plain,
    equal(ssA(n5,n6),n1),
    inference(mrr,[status(thm)],[1890,2188]),
    [iquote('0:MRR:1890.1,2188.0')] ).

cnf(2117,plain,
    equal(ssA(n9,n3),n6),
    inference(mrr,[status(thm)],[2111,5]),
    [iquote('0:MRR:2111.0,5.0')] ).

cnf(2089,plain,
    equal(ssA(n8,n3),n1),
    inference(mrr,[status(thm)],[1862,2075]),
    [iquote('0:MRR:1862.1,2075.0')] ).

cnf(2057,plain,
    equal(ssA(n9,n7),n1),
    inference(mrr,[status(thm)],[1988,2039]),
    [iquote('0:MRR:1988.0,2039.0')] ).

cnf(2022,plain,
    equal(ssA(n3,n4),n1),
    inference(mrr,[status(thm)],[2021,1,1700,1670,4,3,1373,1371,1368]),
    [iquote('0:MRR:2021.0,2021.1,2021.3,2021.4,2021.5,2021.6,2021.7,2021.8,1.0,1700.0,1670.0,4.0,3.0,1373.0,1371.0,1368.0')] ).

cnf(37,axiom,
    equal(ssA(n1,n2),n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(38,axiom,
    equal(ssA(n1,n4),n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(39,axiom,
    equal(ssA(n1,n7),n5),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(42,axiom,
    equal(ssA(n2,n5),n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(43,axiom,
    equal(ssA(n4,n2),n7),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(44,axiom,
    equal(ssA(n4,n8),n3),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(45,axiom,
    equal(ssA(n4,n9),n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(46,axiom,
    equal(ssA(n5,n1),n8),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(49,axiom,
    equal(ssA(n7,n5),n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(50,axiom,
    equal(ssA(n7,n8),n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(51,axiom,
    equal(ssA(n8,n1),n9),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(52,axiom,
    equal(ssA(n8,n7),n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(53,axiom,
    equal(ssA(n9,n1),n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(1,axiom,
    ~ equal(n2,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ equal(n3,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ equal(n4,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ equal(n5,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(5,axiom,
    ~ equal(n6,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ equal(n7,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ equal(n8,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ equal(n9,n1),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ equal(n3,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(10,axiom,
    ~ equal(n4,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(11,axiom,
    ~ equal(n5,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(12,axiom,
    ~ equal(n6,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(13,axiom,
    ~ equal(n7,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(14,axiom,
    ~ equal(n8,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(15,axiom,
    ~ equal(n9,n2),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(16,axiom,
    ~ equal(n3,n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(17,axiom,
    ~ equal(n3,n5),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(18,axiom,
    ~ equal(n3,n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(19,axiom,
    ~ equal(n3,n7),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(20,axiom,
    ~ equal(n8,n3),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(21,axiom,
    ~ equal(n9,n3),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(22,axiom,
    ~ equal(n5,n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(23,axiom,
    ~ equal(n4,n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(24,axiom,
    ~ equal(n7,n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(25,axiom,
    ~ equal(n8,n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(26,axiom,
    ~ equal(n9,n4),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(27,axiom,
    ~ equal(n5,n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(28,axiom,
    ~ equal(n5,n7),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(29,axiom,
    ~ equal(n8,n5),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(30,axiom,
    ~ equal(n9,n5),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(31,axiom,
    ~ equal(n7,n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(32,axiom,
    ~ equal(n8,n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(33,axiom,
    ~ equal(n9,n6),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(34,axiom,
    ~ equal(n8,n7),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(35,axiom,
    ~ equal(n9,n7),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(36,axiom,
    ~ equal(n9,n8),
    file('PUZ066+1.p',unknown),
    [] ).

cnf(4320,plain,
    equal(ssA(n7,n6),n4),
    inference(spt,[],[4316]),
    [iquote('4:Spt:4316.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PUZ066+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n024.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 : Sun May 29 01:22:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.70/0.88  
% 0.70/0.88  SPASS V 3.9 
% 0.70/0.88  SPASS beiseite: Completion found.
% 0.70/0.88  % SZS status CounterSatisfiable
% 0.70/0.88  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.70/0.88  SPASS derived 2418 clauses, backtracked 1112 clauses, performed 4 splits and kept 2753 clauses.
% 0.70/0.88  SPASS allocated 89388 KBytes.
% 0.70/0.88  SPASS spent	0:00:00.53 on the problem.
% 0.70/0.88  		0:00:00.05 for the input.
% 0.70/0.88  		0:00:00.15 for the FLOTTER CNF translation.
% 0.70/0.88  		0:00:00.00 for inferences.
% 0.70/0.88  		0:00:00.00 for the backtracking.
% 0.70/0.88  		0:00:00.28 for the reduction.
% 0.70/0.88  
% 0.70/0.88  
% 0.70/0.88   The saturated set of worked-off clauses is :
% 0.70/0.88  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------