TSTP Solution File: NUM375+1.015 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM375+1.015 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:08:16 EDT 2022

% Result   : Unsatisfiable 1.08s 1.23s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(2,axiom,
    succ(n1) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(3,axiom,
    succ(n2) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(4,axiom,
    succ(n3) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(5,axiom,
    succ(n4) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(6,axiom,
    succ(n5) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(7,axiom,
    succ(n6) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(8,axiom,
    succ(n7) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(9,axiom,
    succ(n8) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(10,axiom,
    succ(n9) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(11,axiom,
    succ(n10) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(12,axiom,
    succ(n11) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(13,axiom,
    succ(n12) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(14,axiom,
    succ(n13) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(15,axiom,
    succ(n14) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(16,axiom,
    succ(n15) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(17,axiom,
    pred(n0) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(18,axiom,
    pred(n1) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(19,axiom,
    pred(n2) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(20,axiom,
    pred(n3) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(21,axiom,
    pred(n4) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(22,axiom,
    pred(n5) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(23,axiom,
    pred(n6) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(24,axiom,
    pred(n7) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(25,axiom,
    pred(n8) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(26,axiom,
    pred(n9) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(27,axiom,
    pred(n10) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(28,axiom,
    pred(n11) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(29,axiom,
    pred(n12) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(30,axiom,
    pred(n13) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(31,axiom,
    pred(n14) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(32,axiom,
    pred(n15) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(33,axiom,
    sum(n0,n0) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(34,axiom,
    sum(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(35,axiom,
    sum(n0,n2) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(36,axiom,
    sum(n0,n3) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(37,axiom,
    sum(n0,n4) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(38,axiom,
    sum(n0,n5) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(39,axiom,
    sum(n0,n6) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(40,axiom,
    sum(n0,n7) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(41,axiom,
    sum(n0,n8) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(42,axiom,
    sum(n0,n9) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(43,axiom,
    sum(n0,n10) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(44,axiom,
    sum(n0,n11) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(45,axiom,
    sum(n0,n12) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(46,axiom,
    sum(n0,n13) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(47,axiom,
    sum(n0,n14) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(48,axiom,
    sum(n0,n15) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(49,axiom,
    sum(n1,n0) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(50,axiom,
    sum(n1,n1) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(51,axiom,
    sum(n1,n2) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(52,axiom,
    sum(n1,n3) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(53,axiom,
    sum(n1,n4) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(54,axiom,
    sum(n1,n5) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(55,axiom,
    sum(n1,n6) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(56,axiom,
    sum(n1,n7) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(57,axiom,
    sum(n1,n8) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(58,axiom,
    sum(n1,n9) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(59,axiom,
    sum(n1,n10) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(60,axiom,
    sum(n1,n11) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(61,axiom,
    sum(n1,n12) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(62,axiom,
    sum(n1,n13) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(63,axiom,
    sum(n1,n14) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(64,axiom,
    sum(n1,n15) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(65,axiom,
    sum(n2,n0) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(66,axiom,
    sum(n2,n1) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(67,axiom,
    sum(n2,n2) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(68,axiom,
    sum(n2,n3) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(69,axiom,
    sum(n2,n4) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(70,axiom,
    sum(n2,n5) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(71,axiom,
    sum(n2,n6) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(72,axiom,
    sum(n2,n7) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(73,axiom,
    sum(n2,n8) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(74,axiom,
    sum(n2,n9) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(75,axiom,
    sum(n2,n10) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(76,axiom,
    sum(n2,n11) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(77,axiom,
    sum(n2,n12) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(78,axiom,
    sum(n2,n13) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(79,axiom,
    sum(n2,n14) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(80,axiom,
    sum(n2,n15) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(81,axiom,
    sum(n3,n0) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(82,axiom,
    sum(n3,n1) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(83,axiom,
    sum(n3,n2) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(84,axiom,
    sum(n3,n3) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(85,axiom,
    sum(n3,n4) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(86,axiom,
    sum(n3,n5) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(87,axiom,
    sum(n3,n6) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(88,axiom,
    sum(n3,n7) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(89,axiom,
    sum(n3,n8) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(90,axiom,
    sum(n3,n9) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(91,axiom,
    sum(n3,n10) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(92,axiom,
    sum(n3,n11) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(93,axiom,
    sum(n3,n12) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(94,axiom,
    sum(n3,n13) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(95,axiom,
    sum(n3,n14) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(96,axiom,
    sum(n3,n15) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(97,axiom,
    sum(n4,n0) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(98,axiom,
    sum(n4,n1) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(99,axiom,
    sum(n4,n2) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(100,axiom,
    sum(n4,n3) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(101,axiom,
    sum(n4,n4) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(102,axiom,
    sum(n4,n5) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(103,axiom,
    sum(n4,n6) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(104,axiom,
    sum(n4,n7) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(105,axiom,
    sum(n4,n8) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(106,axiom,
    sum(n4,n9) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(107,axiom,
    sum(n4,n10) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(108,axiom,
    sum(n4,n11) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(109,axiom,
    sum(n4,n12) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(110,axiom,
    sum(n4,n13) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(111,axiom,
    sum(n4,n14) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(112,axiom,
    sum(n4,n15) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(113,axiom,
    sum(n5,n0) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(114,axiom,
    sum(n5,n1) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(115,axiom,
    sum(n5,n2) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(116,axiom,
    sum(n5,n3) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(117,axiom,
    sum(n5,n4) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(118,axiom,
    sum(n5,n5) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(119,axiom,
    sum(n5,n6) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(120,axiom,
    sum(n5,n7) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(121,axiom,
    sum(n5,n8) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(122,axiom,
    sum(n5,n9) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(123,axiom,
    sum(n5,n10) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(124,axiom,
    sum(n5,n11) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(125,axiom,
    sum(n5,n12) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(126,axiom,
    sum(n5,n13) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(127,axiom,
    sum(n5,n14) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(128,axiom,
    sum(n5,n15) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(129,axiom,
    sum(n6,n0) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(130,axiom,
    sum(n6,n1) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(131,axiom,
    sum(n6,n2) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(132,axiom,
    sum(n6,n3) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(133,axiom,
    sum(n6,n4) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(134,axiom,
    sum(n6,n5) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(135,axiom,
    sum(n6,n6) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(136,axiom,
    sum(n6,n7) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(137,axiom,
    sum(n6,n8) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(138,axiom,
    sum(n6,n9) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(139,axiom,
    sum(n6,n10) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(140,axiom,
    sum(n6,n11) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(141,axiom,
    sum(n6,n12) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(142,axiom,
    sum(n6,n13) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(143,axiom,
    sum(n6,n14) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(144,axiom,
    sum(n6,n15) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(145,axiom,
    sum(n7,n0) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(146,axiom,
    sum(n7,n1) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(147,axiom,
    sum(n7,n2) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(148,axiom,
    sum(n7,n3) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(149,axiom,
    sum(n7,n4) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(150,axiom,
    sum(n7,n5) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(151,axiom,
    sum(n7,n6) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(152,axiom,
    sum(n7,n7) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(153,axiom,
    sum(n7,n8) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(154,axiom,
    sum(n7,n9) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(155,axiom,
    sum(n7,n10) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(156,axiom,
    sum(n7,n11) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(157,axiom,
    sum(n7,n12) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(158,axiom,
    sum(n7,n13) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(159,axiom,
    sum(n7,n14) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(160,axiom,
    sum(n7,n15) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(161,axiom,
    sum(n8,n0) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(162,axiom,
    sum(n8,n1) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(163,axiom,
    sum(n8,n2) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(164,axiom,
    sum(n8,n3) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(165,axiom,
    sum(n8,n4) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(166,axiom,
    sum(n8,n5) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(167,axiom,
    sum(n8,n6) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(168,axiom,
    sum(n8,n7) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(169,axiom,
    sum(n8,n8) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(170,axiom,
    sum(n8,n9) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(171,axiom,
    sum(n8,n10) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(172,axiom,
    sum(n8,n11) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(173,axiom,
    sum(n8,n12) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(174,axiom,
    sum(n8,n13) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(175,axiom,
    sum(n8,n14) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(176,axiom,
    sum(n8,n15) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(177,axiom,
    sum(n9,n0) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(178,axiom,
    sum(n9,n1) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(179,axiom,
    sum(n9,n2) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(180,axiom,
    sum(n9,n3) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(181,axiom,
    sum(n9,n4) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(182,axiom,
    sum(n9,n5) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(183,axiom,
    sum(n9,n6) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(184,axiom,
    sum(n9,n7) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(185,axiom,
    sum(n9,n8) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(186,axiom,
    sum(n9,n9) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(187,axiom,
    sum(n9,n10) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(188,axiom,
    sum(n9,n11) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(189,axiom,
    sum(n9,n12) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(190,axiom,
    sum(n9,n13) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(191,axiom,
    sum(n9,n14) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(192,axiom,
    sum(n9,n15) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(193,axiom,
    sum(n10,n0) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(194,axiom,
    sum(n10,n1) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(195,axiom,
    sum(n10,n2) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(196,axiom,
    sum(n10,n3) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(197,axiom,
    sum(n10,n4) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(198,axiom,
    sum(n10,n5) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(199,axiom,
    sum(n10,n6) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(200,axiom,
    sum(n10,n7) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(201,axiom,
    sum(n10,n8) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(202,axiom,
    sum(n10,n9) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(203,axiom,
    sum(n10,n10) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(204,axiom,
    sum(n10,n11) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(205,axiom,
    sum(n10,n12) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(206,axiom,
    sum(n10,n13) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(207,axiom,
    sum(n10,n14) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(208,axiom,
    sum(n10,n15) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(209,axiom,
    sum(n11,n0) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(210,axiom,
    sum(n11,n1) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(211,axiom,
    sum(n11,n2) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(212,axiom,
    sum(n11,n3) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(213,axiom,
    sum(n11,n4) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(214,axiom,
    sum(n11,n5) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(215,axiom,
    sum(n11,n6) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(216,axiom,
    sum(n11,n7) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(217,axiom,
    sum(n11,n8) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(218,axiom,
    sum(n11,n9) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(219,axiom,
    sum(n11,n10) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(220,axiom,
    sum(n11,n11) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(221,axiom,
    sum(n11,n12) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(222,axiom,
    sum(n11,n13) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(223,axiom,
    sum(n11,n14) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(224,axiom,
    sum(n11,n15) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(225,axiom,
    sum(n12,n0) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(226,axiom,
    sum(n12,n1) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(227,axiom,
    sum(n12,n2) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(228,axiom,
    sum(n12,n3) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(229,axiom,
    sum(n12,n4) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(230,axiom,
    sum(n12,n5) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(231,axiom,
    sum(n12,n6) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(232,axiom,
    sum(n12,n7) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(233,axiom,
    sum(n12,n8) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(234,axiom,
    sum(n12,n9) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(235,axiom,
    sum(n12,n10) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(236,axiom,
    sum(n12,n11) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(237,axiom,
    sum(n12,n12) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(238,axiom,
    sum(n12,n13) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(239,axiom,
    sum(n12,n14) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(240,axiom,
    sum(n12,n15) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(241,axiom,
    sum(n13,n0) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(242,axiom,
    sum(n13,n1) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(243,axiom,
    sum(n13,n2) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(244,axiom,
    sum(n13,n3) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(245,axiom,
    sum(n13,n4) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(246,axiom,
    sum(n13,n5) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(247,axiom,
    sum(n13,n6) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(248,axiom,
    sum(n13,n7) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(249,axiom,
    sum(n13,n8) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(250,axiom,
    sum(n13,n9) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(251,axiom,
    sum(n13,n10) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(252,axiom,
    sum(n13,n11) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(253,axiom,
    sum(n13,n12) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(254,axiom,
    sum(n13,n13) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(255,axiom,
    sum(n13,n14) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(256,axiom,
    sum(n13,n15) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(257,axiom,
    sum(n14,n0) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(258,axiom,
    sum(n14,n1) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(259,axiom,
    sum(n14,n2) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(260,axiom,
    sum(n14,n3) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(261,axiom,
    sum(n14,n4) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(262,axiom,
    sum(n14,n5) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(263,axiom,
    sum(n14,n6) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(264,axiom,
    sum(n14,n7) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(265,axiom,
    sum(n14,n8) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(266,axiom,
    sum(n14,n9) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(267,axiom,
    sum(n14,n10) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(268,axiom,
    sum(n14,n11) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(269,axiom,
    sum(n14,n12) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(270,axiom,
    sum(n14,n13) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(271,axiom,
    sum(n14,n14) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(272,axiom,
    sum(n14,n15) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(273,axiom,
    sum(n15,n0) = n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(274,axiom,
    sum(n15,n1) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(275,axiom,
    sum(n15,n2) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(276,axiom,
    sum(n15,n3) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(277,axiom,
    sum(n15,n4) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(278,axiom,
    sum(n15,n5) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(279,axiom,
    sum(n15,n6) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(280,axiom,
    sum(n15,n7) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(281,axiom,
    sum(n15,n8) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(282,axiom,
    sum(n15,n9) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(283,axiom,
    sum(n15,n10) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(284,axiom,
    sum(n15,n11) = n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(285,axiom,
    sum(n15,n12) = n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(286,axiom,
    sum(n15,n13) = n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(287,axiom,
    sum(n15,n14) = n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(288,axiom,
    sum(n15,n15) = n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(289,axiom,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n9
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(290,axiom,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n9
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(291,axiom,
    'SKOLEMAAAV3' = sum(pred(sum('SKOLEMAAAV1',succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum('SKOLEMAAAV1','SKOLEMAAAV2')))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(292,axiom,
    'SKOLEMAAAV3' != n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(293,axiom,
    'SKOLEMAAAV3' != n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(294,axiom,
    'SKOLEMAAAV3' != n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(295,axiom,
    'SKOLEMAAAV3' != n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(296,axiom,
    'SKOLEMAAAV3' != n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(297,axiom,
    'SKOLEMAAAV3' != n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(298,axiom,
    'SKOLEMAAAV3' != n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(299,axiom,
    'SKOLEMAAAV3' != n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(300,axiom,
    'SKOLEMAAAV3' != n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(301,axiom,
    'SKOLEMAAAV3' != n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(302,axiom,
    'SKOLEMAAAV3' != n10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(303,axiom,
    'SKOLEMAAAV3' != n11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(304,axiom,
    'SKOLEMAAAV3' != n12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(305,axiom,
    'SKOLEMAAAV3' != n13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(306,axiom,
    'SKOLEMAAAV3' != n14,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(307,axiom,
    'SKOLEMAAAV3' != n15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

cnf(428,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n9,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n9,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,289,theory(equality)]) ).

cnf(429,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum('SKOLEMAAAV1',n10)),sum(n9,pred(sum('SKOLEMAAAV1',n9)))) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[291,290,theory(equality)]),10,theory(equality)]) ).

cnf(430,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,289,theory(equality)]),304,75,178,19,186,20,187,theory(equality)]) ).

cnf(431,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,430,theory(equality)]),301,57,161,18,185,19,186,9,theory(equality)]) ).

cnf(432,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,431,theory(equality)]),298,39,160,17,184,18,185,8,theory(equality)]) ).

cnf(433,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,432,theory(equality)]),295,277,143,32,183,17,184,7,theory(equality)]) ).

cnf(434,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,433,theory(equality)]),292,259,126,31,182,32,183,6,theory(equality)]) ).

cnf(435,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,434,theory(equality)]),305,241,109,30,181,31,182,5,theory(equality)]) ).

cnf(436,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,435,theory(equality)]),302,239,92,29,180,30,181,4,theory(equality)]) ).

cnf(437,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,436,theory(equality)]),299,221,75,28,179,29,180,3,theory(equality)]) ).

cnf(438,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,437,theory(equality)]),306,167,280,25,192,26,177,16,theory(equality)]) ).

cnf(439,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,438,theory(equality)]),303,149,263,24,191,25,192,15,theory(equality)]) ).

cnf(440,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,439,theory(equality)]),300,131,246,23,190,24,191,14,theory(equality)]) ).

cnf(441,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,440,theory(equality)]),297,113,229,22,189,23,190,13,theory(equality)]) ).

cnf(442,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,441,theory(equality)]),294,111,212,21,188,22,189,12,theory(equality)]) ).

cnf(443,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,442,theory(equality)]),307,93,195,20,187,21,188,11,theory(equality)]) ).

cnf(444,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,443,theory(equality)]),296,203,58,27,178,28,179,2,theory(equality)]) ).

cnf(445,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n8
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[428,444,theory(equality)]),293,185,41,26,177,27,178,1,theory(equality)]) ).

cnf(446,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n8,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n8,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,445,theory(equality)]) ).

cnf(447,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,445,theory(equality)]),302,58,177,18,170,19,171,theory(equality)]) ).

cnf(448,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,447,theory(equality)]),299,40,176,17,169,18,170,9,theory(equality)]) ).

cnf(449,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,448,theory(equality)]),296,278,159,32,168,17,169,8,theory(equality)]) ).

cnf(450,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,449,theory(equality)]),293,260,142,31,167,32,168,7,theory(equality)]) ).

cnf(451,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,450,theory(equality)]),306,242,125,30,166,31,167,6,theory(equality)]) ).

cnf(452,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,451,theory(equality)]),303,240,108,29,165,30,166,5,theory(equality)]) ).

cnf(453,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,452,theory(equality)]),300,222,91,28,164,29,165,4,theory(equality)]) ).

cnf(454,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,453,theory(equality)]),297,204,74,27,163,28,164,3,theory(equality)]) ).

cnf(455,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,454,theory(equality)]),304,150,279,24,176,25,161,16,theory(equality)]) ).

cnf(456,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,455,theory(equality)]),301,132,262,23,175,24,176,15,theory(equality)]) ).

cnf(457,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,456,theory(equality)]),298,114,245,22,174,23,175,14,theory(equality)]) ).

cnf(458,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,457,theory(equality)]),295,112,228,21,173,22,174,13,theory(equality)]) ).

cnf(459,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,458,theory(equality)]),292,94,211,20,172,21,173,12,theory(equality)]) ).

cnf(460,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,459,theory(equality)]),305,76,194,19,171,20,172,11,theory(equality)]) ).

cnf(461,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,460,theory(equality)]),294,186,57,26,162,27,163,2,theory(equality)]) ).

cnf(462,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n7
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[446,461,theory(equality)]),307,168,40,25,161,26,162,1,theory(equality)]) ).

cnf(463,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n7,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n7,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,462,theory(equality)]) ).

cnf(464,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,462,theory(equality)]),300,41,192,17,154,18,155,theory(equality)]) ).

cnf(465,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,464,theory(equality)]),297,279,175,32,153,17,154,9,theory(equality)]) ).

cnf(466,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,465,theory(equality)]),294,261,158,31,152,32,153,8,theory(equality)]) ).

cnf(467,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,466,theory(equality)]),307,243,141,30,151,31,152,7,theory(equality)]) ).

cnf(468,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,467,theory(equality)]),304,225,124,29,150,30,151,6,theory(equality)]) ).

cnf(469,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,468,theory(equality)]),301,223,107,28,149,29,150,5,theory(equality)]) ).

cnf(470,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,469,theory(equality)]),298,205,90,27,148,28,149,4,theory(equality)]) ).

cnf(471,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,470,theory(equality)]),295,187,73,26,147,27,148,3,theory(equality)]) ).

cnf(472,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,471,theory(equality)]),302,133,278,23,160,24,145,16,theory(equality)]) ).

cnf(473,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,472,theory(equality)]),299,115,261,22,159,23,160,15,theory(equality)]) ).

cnf(474,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,473,theory(equality)]),296,97,244,21,158,22,159,14,theory(equality)]) ).

cnf(475,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,474,theory(equality)]),293,95,227,20,157,21,158,13,theory(equality)]) ).

cnf(476,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,475,theory(equality)]),306,77,210,19,156,20,157,12,theory(equality)]) ).

cnf(477,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,476,theory(equality)]),303,59,193,18,155,19,156,11,theory(equality)]) ).

cnf(478,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,477,theory(equality)]),292,169,56,25,146,26,147,2,theory(equality)]) ).

cnf(479,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n6
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[463,478,theory(equality)]),305,151,39,24,145,25,146,1,theory(equality)]) ).

cnf(480,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n6,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n6,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,479,theory(equality)]) ).

cnf(481,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,479,theory(equality)]),298,280,191,32,138,17,139,theory(equality)]) ).

cnf(482,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,481,theory(equality)]),295,262,174,31,137,32,138,9,theory(equality)]) ).

cnf(483,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,482,theory(equality)]),292,244,157,30,136,31,137,8,theory(equality)]) ).

cnf(484,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,483,theory(equality)]),305,226,140,29,135,30,136,7,theory(equality)]) ).

cnf(485,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,484,theory(equality)]),302,224,123,28,134,29,135,6,theory(equality)]) ).

cnf(486,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,485,theory(equality)]),299,206,106,27,133,28,134,5,theory(equality)]) ).

cnf(487,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,486,theory(equality)]),296,188,89,26,132,27,133,4,theory(equality)]) ).

cnf(488,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,487,theory(equality)]),293,170,72,25,131,26,132,3,theory(equality)]) ).

cnf(489,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,488,theory(equality)]),300,116,277,22,144,23,129,16,theory(equality)]) ).

cnf(490,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,489,theory(equality)]),297,98,260,21,143,22,144,15,theory(equality)]) ).

cnf(491,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,490,theory(equality)]),294,96,243,20,142,21,143,14,theory(equality)]) ).

cnf(492,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,491,theory(equality)]),307,78,226,19,141,20,142,13,theory(equality)]) ).

cnf(493,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,492,theory(equality)]),304,60,209,18,140,19,141,12,theory(equality)]) ).

cnf(494,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,493,theory(equality)]),301,42,208,17,139,18,140,11,theory(equality)]) ).

cnf(495,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,494,theory(equality)]),306,152,55,24,130,25,131,2,theory(equality)]) ).

cnf(496,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n5
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,495,theory(equality)]),303,134,38,23,129,24,130,1,theory(equality)]) ).

cnf(497,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n5,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n5,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,496,theory(equality)]) ).

cnf(498,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,496,theory(equality)]),296,263,190,31,122,32,123,theory(equality)]) ).

cnf(499,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,498,theory(equality)]),293,245,173,30,121,31,122,9,theory(equality)]) ).

cnf(500,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,499,theory(equality)]),306,227,156,29,120,30,121,8,theory(equality)]) ).

cnf(501,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,500,theory(equality)]),303,209,139,28,119,29,120,7,theory(equality)]) ).

cnf(502,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,501,theory(equality)]),300,207,122,27,118,28,119,6,theory(equality)]) ).

cnf(503,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,502,theory(equality)]),297,189,105,26,117,27,118,5,theory(equality)]) ).

cnf(504,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,503,theory(equality)]),294,171,88,25,116,26,117,4,theory(equality)]) ).

cnf(505,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,504,theory(equality)]),307,153,71,24,115,25,116,3,theory(equality)]) ).

cnf(506,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,505,theory(equality)]),298,99,276,21,128,22,113,16,theory(equality)]) ).

cnf(507,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,506,theory(equality)]),295,81,259,20,127,21,128,15,theory(equality)]) ).

cnf(508,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,507,theory(equality)]),292,79,242,19,126,20,127,14,theory(equality)]) ).

cnf(509,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,508,theory(equality)]),305,61,225,18,125,19,126,13,theory(equality)]) ).

cnf(510,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,509,theory(equality)]),302,43,224,17,124,18,125,12,theory(equality)]) ).

cnf(511,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,510,theory(equality)]),299,281,207,32,123,17,124,11,theory(equality)]) ).

cnf(512,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,511,theory(equality)]),304,135,54,23,114,24,115,2,theory(equality)]) ).

cnf(513,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n4
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[497,512,theory(equality)]),301,117,37,22,113,23,114,1,theory(equality)]) ).

cnf(514,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n4,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n4,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,513,theory(equality)]) ).

cnf(515,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,513,theory(equality)]),294,246,189,30,106,31,107,theory(equality)]) ).

cnf(516,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,515,theory(equality)]),307,228,172,29,105,30,106,9,theory(equality)]) ).

cnf(517,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,516,theory(equality)]),304,210,155,28,104,29,105,8,theory(equality)]) ).

cnf(518,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,517,theory(equality)]),301,208,138,27,103,28,104,7,theory(equality)]) ).

cnf(519,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,518,theory(equality)]),298,190,121,26,102,27,103,6,theory(equality)]) ).

cnf(520,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,519,theory(equality)]),295,172,104,25,101,26,102,5,theory(equality)]) ).

cnf(521,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,520,theory(equality)]),292,154,87,24,100,25,101,4,theory(equality)]) ).

cnf(522,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,521,theory(equality)]),305,136,70,23,99,24,100,3,theory(equality)]) ).

cnf(523,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,522,theory(equality)]),296,82,275,20,112,21,97,16,theory(equality)]) ).

cnf(524,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,523,theory(equality)]),293,80,258,19,111,20,112,15,theory(equality)]) ).

cnf(525,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,524,theory(equality)]),306,62,241,18,110,19,111,14,theory(equality)]) ).

cnf(526,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,525,theory(equality)]),303,44,240,17,109,18,110,13,theory(equality)]) ).

cnf(527,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,526,theory(equality)]),300,282,223,32,108,17,109,12,theory(equality)]) ).

cnf(528,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,527,theory(equality)]),297,264,206,31,107,32,108,11,theory(equality)]) ).

cnf(529,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,528,theory(equality)]),302,118,53,22,98,23,99,2,theory(equality)]) ).

cnf(530,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n3
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[514,529,theory(equality)]),299,100,36,21,97,22,98,1,theory(equality)]) ).

cnf(531,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n3,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n3,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,530,theory(equality)]) ).

cnf(532,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,530,theory(equality)]),292,229,188,29,90,30,91,theory(equality)]) ).

cnf(533,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,532,theory(equality)]),305,211,171,28,89,29,90,9,theory(equality)]) ).

cnf(534,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,533,theory(equality)]),302,193,154,27,88,28,89,8,theory(equality)]) ).

cnf(535,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,534,theory(equality)]),299,191,137,26,87,27,88,7,theory(equality)]) ).

cnf(536,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,535,theory(equality)]),296,173,120,25,86,26,87,6,theory(equality)]) ).

cnf(537,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,536,theory(equality)]),293,155,103,24,85,25,86,5,theory(equality)]) ).

cnf(538,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,537,theory(equality)]),306,137,86,23,84,24,85,4,theory(equality)]) ).

cnf(539,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,538,theory(equality)]),303,119,69,22,83,23,84,3,theory(equality)]) ).

cnf(540,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,539,theory(equality)]),294,65,274,19,96,20,81,16,theory(equality)]) ).

cnf(541,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,540,theory(equality)]),307,63,257,18,95,19,96,15,theory(equality)]) ).

cnf(542,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,541,theory(equality)]),304,45,256,17,94,18,95,14,theory(equality)]) ).

cnf(543,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,542,theory(equality)]),301,283,239,32,93,17,94,13,theory(equality)]) ).

cnf(544,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,543,theory(equality)]),298,265,222,31,92,32,93,12,theory(equality)]) ).

cnf(545,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,544,theory(equality)]),295,247,205,30,91,31,92,11,theory(equality)]) ).

cnf(546,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,545,theory(equality)]),300,101,52,21,82,22,83,2,theory(equality)]) ).

cnf(547,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n2
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[531,546,theory(equality)]),297,83,35,20,81,21,82,1,theory(equality)]) ).

cnf(548,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV3' = sum(pred(sum(n2,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n2,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,547,theory(equality)]) ).

cnf(549,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,547,theory(equality)]),306,212,187,28,74,29,75,theory(equality)]) ).

cnf(550,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,549,theory(equality)]),303,194,170,27,73,28,74,9,theory(equality)]) ).

cnf(551,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,550,theory(equality)]),300,192,153,26,72,27,73,8,theory(equality)]) ).

cnf(552,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,551,theory(equality)]),297,174,136,25,71,26,72,7,theory(equality)]) ).

cnf(553,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,552,theory(equality)]),294,156,119,24,70,25,71,6,theory(equality)]) ).

cnf(554,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,553,theory(equality)]),307,138,102,23,69,24,70,5,theory(equality)]) ).

cnf(555,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,554,theory(equality)]),304,120,85,22,68,23,69,4,theory(equality)]) ).

cnf(556,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,555,theory(equality)]),301,102,21,67,22,68,3,theory(equality)]) ).

cnf(557,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,556,theory(equality)]),292,64,273,18,80,19,65,16,theory(equality)]) ).

cnf(558,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,557,theory(equality)]),305,46,272,17,79,18,80,15,theory(equality)]) ).

cnf(559,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,558,theory(equality)]),302,284,255,32,78,17,79,14,theory(equality)]) ).

cnf(560,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,559,theory(equality)]),299,266,238,31,77,32,78,13,theory(equality)]) ).

cnf(561,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,560,theory(equality)]),296,248,221,30,76,31,77,12,theory(equality)]) ).

cnf(562,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,561,theory(equality)]),293,230,204,29,75,30,76,11,theory(equality)]) ).

cnf(563,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,562,theory(equality)]),298,84,51,20,66,21,67,2,theory(equality)]) ).

cnf(564,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV1' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[548,563,theory(equality)]),295,34,19,65,20,66,1,theory(equality)]) ).

cnf(565,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV3' = sum(pred(sum(n15,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n15,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,564,theory(equality)]) ).

cnf(566,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,564,theory(equality)]),300,161,184,25,282,26,283,theory(equality)]) ).

cnf(567,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,566,theory(equality)]),297,159,167,24,281,25,282,9,theory(equality)]) ).

cnf(568,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,567,theory(equality)]),294,141,150,23,280,24,281,8,theory(equality)]) ).

cnf(569,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,568,theory(equality)]),307,123,133,22,279,23,280,7,theory(equality)]) ).

cnf(570,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,569,theory(equality)]),304,105,116,21,278,22,279,6,theory(equality)]) ).

cnf(571,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,570,theory(equality)]),301,87,99,20,277,21,278,5,theory(equality)]) ).

cnf(572,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,571,theory(equality)]),298,69,82,19,276,20,277,4,theory(equality)]) ).

cnf(573,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,572,theory(equality)]),295,51,65,18,275,19,276,3,theory(equality)]) ).

cnf(574,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,573,theory(equality)]),302,269,286,31,288,32,273,16,theory(equality)]) ).

cnf(575,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,574,theory(equality)]),299,251,269,30,287,31,288,15,theory(equality)]) ).

cnf(576,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,575,theory(equality)]),296,233,252,29,286,30,287,14,theory(equality)]) ).

cnf(577,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,576,theory(equality)]),293,215,235,28,285,29,286,13,theory(equality)]) ).

cnf(578,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,577,theory(equality)]),306,197,218,27,284,28,285,12,theory(equality)]) ).

cnf(579,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,578,theory(equality)]),303,179,201,26,283,27,284,11,theory(equality)]) ).

cnf(580,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,579,theory(equality)]),292,33,64,17,274,18,275,2,theory(equality)]) ).

cnf(581,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV1' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[565,580,theory(equality)]),305,287,47,32,273,17,274,1,theory(equality)]) ).

cnf(582,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV3' = sum(pred(sum(n14,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n14,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,581,theory(equality)]) ).

cnf(583,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,581,theory(equality)]),298,160,183,24,266,25,267,theory(equality)]) ).

cnf(584,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,583,theory(equality)]),295,142,166,23,265,24,266,9,theory(equality)]) ).

cnf(585,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,584,theory(equality)]),292,124,149,22,264,23,265,8,theory(equality)]) ).

cnf(586,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,585,theory(equality)]),305,106,132,21,263,22,264,7,theory(equality)]) ).

cnf(587,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,586,theory(equality)]),302,88,115,20,262,21,263,6,theory(equality)]) ).

cnf(588,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,587,theory(equality)]),299,70,98,19,261,20,262,5,theory(equality)]) ).

cnf(589,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,588,theory(equality)]),296,52,81,18,260,19,261,4,theory(equality)]) ).

cnf(590,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,589,theory(equality)]),293,34,80,17,259,18,260,3,theory(equality)]) ).

cnf(591,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,590,theory(equality)]),300,252,285,30,272,31,257,16,theory(equality)]) ).

cnf(592,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,591,theory(equality)]),297,234,268,29,271,30,272,15,theory(equality)]) ).

cnf(593,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,592,theory(equality)]),294,216,251,28,270,29,271,14,theory(equality)]) ).

cnf(594,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,593,theory(equality)]),307,198,234,27,269,28,270,13,theory(equality)]) ).

cnf(595,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,594,theory(equality)]),304,180,217,26,268,27,269,12,theory(equality)]) ).

cnf(596,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,595,theory(equality)]),301,162,200,25,267,26,268,11,theory(equality)]) ).

cnf(597,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,596,theory(equality)]),306,288,63,32,258,17,259,2,theory(equality)]) ).

cnf(598,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV1' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[582,597,theory(equality)]),303,270,46,31,257,32,258,1,theory(equality)]) ).

cnf(599,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV3' = sum(pred(sum(n13,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n13,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,598,theory(equality)]) ).

cnf(600,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,598,theory(equality)]),296,143,182,23,250,24,251,theory(equality)]) ).

cnf(601,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,600,theory(equality)]),293,125,165,22,249,23,250,9,theory(equality)]) ).

cnf(602,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,601,theory(equality)]),306,107,148,21,248,22,249,8,theory(equality)]) ).

cnf(603,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,602,theory(equality)]),303,89,131,20,247,21,248,7,theory(equality)]) ).

cnf(604,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,603,theory(equality)]),300,71,114,19,246,20,247,6,theory(equality)]) ).

cnf(605,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,604,theory(equality)]),297,53,97,18,245,19,246,5,theory(equality)]) ).

cnf(606,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,605,theory(equality)]),294,35,96,17,244,18,245,4,theory(equality)]) ).

cnf(607,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,606,theory(equality)]),307,273,79,32,243,17,244,3,theory(equality)]) ).

cnf(608,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,607,theory(equality)]),298,235,284,29,256,30,241,16,theory(equality)]) ).

cnf(609,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,608,theory(equality)]),295,217,267,28,255,29,256,15,theory(equality)]) ).

cnf(610,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,609,theory(equality)]),292,199,250,27,254,28,255,14,theory(equality)]) ).

cnf(611,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,610,theory(equality)]),305,181,233,26,253,27,254,13,theory(equality)]) ).

cnf(612,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,611,theory(equality)]),302,163,216,25,252,26,253,12,theory(equality)]) ).

cnf(613,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,612,theory(equality)]),299,145,199,24,251,25,252,11,theory(equality)]) ).

cnf(614,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,613,theory(equality)]),304,271,62,31,242,32,243,2,theory(equality)]) ).

cnf(615,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV1' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[599,614,theory(equality)]),301,253,45,30,241,31,242,1,theory(equality)]) ).

cnf(616,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV3' = sum(pred(sum(n12,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n12,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,615,theory(equality)]) ).

cnf(617,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,615,theory(equality)]),294,126,181,22,234,23,235,theory(equality)]) ).

cnf(618,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,617,theory(equality)]),307,108,164,21,233,22,234,9,theory(equality)]) ).

cnf(619,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,618,theory(equality)]),304,90,147,20,232,21,233,8,theory(equality)]) ).

cnf(620,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,619,theory(equality)]),301,72,130,19,231,20,232,7,theory(equality)]) ).

cnf(621,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,620,theory(equality)]),298,54,113,18,230,19,231,6,theory(equality)]) ).

cnf(622,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,621,theory(equality)]),295,36,112,17,229,18,230,5,theory(equality)]) ).

cnf(623,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,622,theory(equality)]),292,274,95,32,228,17,229,4,theory(equality)]) ).

cnf(624,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,623,theory(equality)]),305,272,78,31,227,32,228,3,theory(equality)]) ).

cnf(625,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,624,theory(equality)]),296,218,283,28,240,29,225,16,theory(equality)]) ).

cnf(626,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,625,theory(equality)]),293,200,266,27,239,28,240,15,theory(equality)]) ).

cnf(627,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,626,theory(equality)]),306,182,249,26,238,27,239,14,theory(equality)]) ).

cnf(628,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,627,theory(equality)]),303,164,232,25,237,26,238,13,theory(equality)]) ).

cnf(629,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,628,theory(equality)]),300,146,215,24,236,25,237,12,theory(equality)]) ).

cnf(630,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,629,theory(equality)]),297,144,198,23,235,24,236,11,theory(equality)]) ).

cnf(631,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,630,theory(equality)]),302,254,61,30,226,31,227,2,theory(equality)]) ).

cnf(632,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV1' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[616,631,theory(equality)]),299,236,44,29,225,30,226,1,theory(equality)]) ).

cnf(633,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV3' = sum(pred(sum(n11,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n11,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,632,theory(equality)]) ).

cnf(634,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,632,theory(equality)]),292,109,180,21,218,22,219,theory(equality)]) ).

cnf(635,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,634,theory(equality)]),305,91,163,20,217,21,218,9,theory(equality)]) ).

cnf(636,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,635,theory(equality)]),302,73,146,19,216,20,217,8,theory(equality)]) ).

cnf(637,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,636,theory(equality)]),299,55,129,18,215,19,216,7,theory(equality)]) ).

cnf(638,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,637,theory(equality)]),296,37,128,17,214,18,215,6,theory(equality)]) ).

cnf(639,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,638,theory(equality)]),293,275,111,32,213,17,214,5,theory(equality)]) ).

cnf(640,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,639,theory(equality)]),306,257,94,31,212,32,213,4,theory(equality)]) ).

cnf(641,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,640,theory(equality)]),303,255,77,30,211,31,212,3,theory(equality)]) ).

cnf(642,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,641,theory(equality)]),294,201,282,27,224,28,209,16,theory(equality)]) ).

cnf(643,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,642,theory(equality)]),307,183,265,26,223,27,224,15,theory(equality)]) ).

cnf(644,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,643,theory(equality)]),304,165,248,25,222,26,223,14,theory(equality)]) ).

cnf(645,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,644,theory(equality)]),301,147,231,24,221,25,222,13,theory(equality)]) ).

cnf(646,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,645,theory(equality)]),298,129,214,23,220,24,221,12,theory(equality)]) ).

cnf(647,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,646,theory(equality)]),295,127,197,22,219,23,220,11,theory(equality)]) ).

cnf(648,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,647,theory(equality)]),300,237,60,29,210,30,211,2,theory(equality)]) ).

cnf(649,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV1' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[633,648,theory(equality)]),297,219,43,28,209,29,210,1,theory(equality)]) ).

cnf(650,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV3' = sum(pred(sum(n10,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n10,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,649,theory(equality)]) ).

cnf(651,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,649,theory(equality)]),306,92,179,20,202,21,203,theory(equality)]) ).

cnf(652,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,651,theory(equality)]),303,74,162,19,201,20,202,9,theory(equality)]) ).

cnf(653,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,652,theory(equality)]),300,56,145,18,200,19,201,8,theory(equality)]) ).

cnf(654,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,653,theory(equality)]),297,38,144,17,199,18,200,7,theory(equality)]) ).

cnf(655,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,654,theory(equality)]),294,276,127,32,198,17,199,6,theory(equality)]) ).

cnf(656,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,655,theory(equality)]),307,258,110,31,197,32,198,5,theory(equality)]) ).

cnf(657,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,656,theory(equality)]),304,256,93,30,196,31,197,4,theory(equality)]) ).

cnf(658,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,657,theory(equality)]),301,238,76,29,195,30,196,3,theory(equality)]) ).

cnf(659,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,658,theory(equality)]),292,184,281,26,208,27,193,16,theory(equality)]) ).

cnf(660,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,659,theory(equality)]),305,166,264,25,207,26,208,15,theory(equality)]) ).

cnf(661,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,660,theory(equality)]),302,148,247,24,206,25,207,14,theory(equality)]) ).

cnf(662,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,661,theory(equality)]),299,130,230,23,205,24,206,13,theory(equality)]) ).

cnf(663,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,662,theory(equality)]),296,128,213,22,204,23,205,12,theory(equality)]) ).

cnf(664,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,663,theory(equality)]),293,110,196,21,203,22,204,11,theory(equality)]) ).

cnf(665,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,664,theory(equality)]),298,220,59,28,194,29,195,2,theory(equality)]) ).

cnf(666,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV1' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[650,665,theory(equality)]),295,202,42,27,193,28,194,1,theory(equality)]) ).

cnf(667,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV3' = sum(pred(sum(n1,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n1,'SKOLEMAAAV2')))) ),
    inference('PARAMODULATE',[status(thm)],[291,666,theory(equality)]) ).

cnf(668,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[429,666,theory(equality)]),304,195,186,27,58,28,59,theory(equality)]) ).

cnf(669,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,668,theory(equality)]),301,177,169,26,57,27,58,9,theory(equality)]) ).

cnf(670,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,669,theory(equality)]),298,175,152,25,56,26,57,8,theory(equality)]) ).

cnf(671,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,670,theory(equality)]),295,157,135,24,55,25,56,7,theory(equality)]) ).

cnf(672,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,671,theory(equality)]),292,139,118,23,54,24,55,6,theory(equality)]) ).

cnf(673,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,672,theory(equality)]),305,121,101,22,53,23,54,5,theory(equality)]) ).

cnf(674,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,673,theory(equality)]),302,103,84,21,52,22,53,4,theory(equality)]) ).

cnf(675,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,674,theory(equality)]),299,85,67,20,51,21,52,3,theory(equality)]) ).

cnf(676,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,675,theory(equality)]),306,47,288,17,64,18,49,16,theory(equality)]) ).

cnf(677,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,676,theory(equality)]),303,285,271,32,63,17,64,15,theory(equality)]) ).

cnf(678,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,677,theory(equality)]),300,267,254,31,62,32,63,14,theory(equality)]) ).

cnf(679,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,678,theory(equality)]),297,249,237,30,61,31,62,13,theory(equality)]) ).

cnf(680,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,679,theory(equality)]),294,231,220,29,60,30,61,12,theory(equality)]) ).

cnf(681,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,680,theory(equality)]),307,213,203,28,59,29,60,11,theory(equality)]) ).

cnf(682,plain,
    ( 'SKOLEMAAAV1' = n0
    | 'SKOLEMAAAV2' = n0 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,681,theory(equality)]),296,67,19,50,20,51,2,theory(equality)]) ).

cnf(683,plain,
    'SKOLEMAAAV1' = n0,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[667,682,theory(equality)]),293,33,18,49,19,50,1,theory(equality)]) ).

cnf(684,plain,
    'SKOLEMAAAV3' = sum(pred(sum(n0,succ('SKOLEMAAAV2'))),sum('SKOLEMAAAV2',pred(sum(n0,'SKOLEMAAAV2')))),
    inference('REWRITE',[status(thm)],[291,683,theory(equality)]) ).

cnf(685,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n8
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[429,302,178,185,26,42,27,43,683,theory(equality)]) ).

cnf(686,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n7
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,685,theory(equality)]),299,176,168,25,41,26,42,9,theory(equality)]) ).

cnf(687,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n6
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,686,theory(equality)]),296,158,151,24,40,25,41,8,theory(equality)]) ).

cnf(688,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n5
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,687,theory(equality)]),293,140,134,23,39,24,40,7,theory(equality)]) ).

cnf(689,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n4
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,688,theory(equality)]),306,122,117,22,38,23,39,6,theory(equality)]) ).

cnf(690,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n3
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,689,theory(equality)]),303,104,100,21,37,22,38,5,theory(equality)]) ).

cnf(691,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n2
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,690,theory(equality)]),300,86,83,20,36,21,37,4,theory(equality)]) ).

cnf(692,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14
    | 'SKOLEMAAAV2' = n15 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,691,theory(equality)]),297,68,66,19,35,20,36,3,theory(equality)]) ).

cnf(693,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13
    | 'SKOLEMAAAV2' = n14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,692,theory(equality)]),304,286,287,32,48,17,33,16,theory(equality)]) ).

cnf(694,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12
    | 'SKOLEMAAAV2' = n13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,693,theory(equality)]),301,268,270,31,47,32,48,15,theory(equality)]) ).

cnf(695,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11
    | 'SKOLEMAAAV2' = n12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,694,theory(equality)]),298,250,253,30,46,31,47,14,theory(equality)]) ).

cnf(696,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10
    | 'SKOLEMAAAV2' = n11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,695,theory(equality)]),295,232,236,29,45,30,46,13,theory(equality)]) ).

cnf(697,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1
    | 'SKOLEMAAAV2' = n10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,696,theory(equality)]),292,214,219,28,44,29,45,12,theory(equality)]) ).

cnf(698,plain,
    ( 'SKOLEMAAAV2' = n0
    | 'SKOLEMAAAV2' = n1 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,697,theory(equality)]),305,196,202,27,43,28,44,11,theory(equality)]) ).

cnf(699,plain,
    'SKOLEMAAAV2' = n0,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[684,698,theory(equality)]),294,50,49,18,34,19,35,2,theory(equality)]) ).

cnf(700,plain,
    $false,
    inference('REWRITE',[status(thm)],[684,307,48,17,33,18,34,1,699,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : NUM375+1.015 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jul  7 07:21:19 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T07:21:19
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T07:21:19
% 1.08/1.23  
% 1.08/1.23  
% 1.08/1.23  #||
% 1.08/1.23  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.23  % SZS output start Refutation
% See solution above
% 1.09/1.31  ||#
% 1.09/1.31  
% 1.09/1.31  ; Summary of computation:
% 1.09/1.31  ;      1730 formulas have been input or derived (from 698 formulas).
% 1.09/1.31  ;       700 (40%) were retained.  Of these,
% 1.09/1.31  ;          273 (39%) were simplified or subsumed later,
% 1.09/1.31  ;          427 (61%) are still being kept.
% 1.09/1.31  ; 
% 1.09/1.31  ; Run time in seconds excluding printing time:
% 1.09/1.31  ;     0.023   3%   Read assertion file          (1 call)
% 1.09/1.31  ;     0.114  16%   Assert                       (1 call)
% 1.09/1.31  ;     0.049   7%   Process new row              (1,729 calls)
% 1.09/1.31  ;     0.037   5%   Resolution                   (1,394 calls)
% 1.09/1.31  ;     0.158  22%   Paramodulation               (697 calls)
% 1.09/1.31  ;     0.027   4%   Factoring                    (271 calls)
% 1.09/1.31  ;     0.000   0%   Condensing                   (286 calls)
% 1.09/1.31  ;     0.017   2%   Forward subsumption          (286 calls)
% 1.09/1.31  ;     0.033   5%   Backward subsumption         (271 calls)
% 1.09/1.31  ;     0.014   2%   Clause clause subsumption    (282 calls)
% 1.09/1.31  ;     0.070  10%   Forward simplification       (1,103 calls)
% 1.09/1.31  ;     0.004   1%   Backward simplification      (700 calls)
% 1.09/1.31  ;     0.131  18%   Ordering                     (101,546 calls)
% 1.09/1.31  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.09/1.31  ;     0.000   0%   Purity testing               (1 call)
% 1.09/1.31  ;     0.044   6%   Other
% 1.09/1.31  ;     0.721        Total
% 1.09/1.31  ;     0.799        Real time
% 1.09/1.31  ; 
% 1.09/1.31  ; Term-hash-array has 871 terms in all.
% 1.09/1.31  ; Feature-vector-row-index has 0 entries (5 at peak, 271 added, 271 deleted).
% 1.09/1.31  ; Feature-vector-row-index has 1 node (94 at peak, 4,142 added, 4,141 deleted).
% 1.09/1.31  ;  Retrieved 66 possibly forward subsuming rows in 286 calls.
% 1.09/1.31  ;  Retrieved 290 possibly backward subsumed rows in 271 calls.
% 1.09/1.31  ; Path-index has 733 entries (785 at peak, 1,129 added, 396 deleted).
% 1.09/1.31  ; Path-index has 211 nodes (246 at peak, 377 added, 166 deleted).
% 1.09/1.31  ; Trie-index has 733 entries (785 at peak, 1,129 added, 396 deleted).
% 1.09/1.31  ; Trie-index has 1,079 nodes (1,196 at peak, 1,877 added, 798 deleted).
% 1.09/1.31  ; Retrieved 2,385 generalization terms in 8,123 calls.
% 1.09/1.31  ; Retrieved 428 instance terms in 428 calls.
% 1.09/1.31  ; Retrieved 577 unifiable terms in 3,596 calls.
% 1.09/1.31  ; 
% 1.09/1.31  ; The agenda of backward simplifiable rows to process has 1 entry:
% 1.09/1.31  ;     1 with value 0
% 1.09/1.31  ; The agenda of rows to give has 2 entries:
% 1.09/1.31  ;     1 with value (4 19)          1 with value (4 245)
% 1.09/1.31  Evaluation took:
% 1.09/1.31    0.799 seconds of real time
% 1.09/1.31    0.661486 seconds of user run time
% 1.09/1.31    0.137978 seconds of system run time
% 1.09/1.31    [Run times include 0.028 seconds GC run time.]
% 1.09/1.31    0 calls to %EVAL
% 1.09/1.31    0 page faults and
% 1.09/1.31    113,590,928 bytes consed.
% 1.09/1.31  :PROOF-FOUND
% 1.09/1.31  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T07:21:20
% 1.09/1.31  :PROOF-FOUND
% 1.09/1.31  * 
%------------------------------------------------------------------------------