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LEO-II---2.3.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 11:03:08 AM UTC 2026

% Result   : Unsatisfiable 26.29s 4.68s
% Output   : CNFRefutation 26.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  364
% Syntax   : Number of formulae    : 1715 (1715 unt;   0 typ;   0 def)
%            Number of atoms       : 4415 (3057 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives : 25012 (   6   ~;   0   |;   0   &;25006   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   58 (  55 usr;   8 con; 0-4 aty)
%            Number of variables   : 3526 (   0   ^;3526   !;   0   ?;3526   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a,type,
    a: $i ).

thf(tp_b,type,
    b: $i ).

thf(tp_c,type,
    c: $i ).

thf(tp_d,type,
    d: $i ).

thf(tp_e,type,
    e: $i ).

thf(tp_ifeq,type,
    ifeq: $i > $i > $i > $i > $i ).

thf(tp_k0,type,
    k0: $i > $i ).

thf(tp_k1,type,
    k1: $i > $i ).

thf(tp_k2,type,
    k2: $i > $i > $i ).

thf(tp_k3,type,
    k3: $i > $i > $i > $i ).

thf(tp_k4,type,
    k4: $i > $i ).

thf(tp_k5,type,
    k5: $i > $i ).

thf(tp_l0,type,
    l0: $i > $i ).

thf(tp_l1,type,
    l1: $i > $i > $i ).

thf(tp_l2,type,
    l2: $i > $i > $i ).

thf(tp_l3,type,
    l3: $i > $i > $i ).

thf(tp_l4,type,
    l4: $i > $i ).

thf(tp_l5,type,
    l5: $i > $i ).

thf(tp_m0,type,
    m0: $i > $i > $i > $i ).

thf(tp_m1,type,
    m1: $i > $i > $i > $i ).

thf(tp_m2,type,
    m2: $i > $i ).

thf(tp_m3,type,
    m3: $i > $i > $i > $i ).

thf(tp_m4,type,
    m4: $i > $i > $i ).

thf(tp_m5,type,
    m5: $i > $i > $i ).

thf(tp_n0,type,
    n0: $i > $i > $i ).

thf(tp_n1,type,
    n1: $i > $i > $i > $i ).

thf(tp_n2,type,
    n2: $i > $i ).

thf(tp_n3,type,
    n3: $i > $i ).

thf(tp_n4,type,
    n4: $i > $i > $i ).

thf(tp_n5,type,
    n5: $i > $i > $i ).

thf(tp_p0,type,
    p0: $i > $i > $i ).

thf(tp_p1,type,
    p1: $i > $i > $i > $i ).

thf(tp_p2,type,
    p2: $i > $i > $i > $i ).

thf(tp_p3,type,
    p3: $i > $i > $i > $i ).

thf(tp_p4,type,
    p4: $i > $i > $i > $i ).

thf(tp_p5,type,
    p5: $i > $i > $i > $i ).

thf(tp_q0,type,
    q0: $i > $i > $i ).

thf(tp_q1,type,
    q1: $i > $i > $i > $i ).

thf(tp_q2,type,
    q2: $i > $i > $i > $i ).

thf(tp_q3,type,
    q3: $i > $i > $i ).

thf(tp_q4,type,
    q4: $i > $i > $i ).

thf(tp_q5,type,
    q5: $i > $i > $i ).

thf(tp_r0,type,
    r0: $i > $i ).

thf(tp_r1,type,
    r1: $i > $i ).

thf(tp_r2,type,
    r2: $i > $i ).

thf(tp_r3,type,
    r3: $i > $i > $i > $i ).

thf(tp_r4,type,
    r4: $i > $i ).

thf(tp_r5,type,
    r5: $i > $i > $i ).

thf(tp_s0,type,
    s0: $i > $i ).

thf(tp_s1,type,
    s1: $i > $i ).

thf(tp_s2,type,
    s2: $i > $i ).

thf(tp_s3,type,
    s3: $i > $i > $i ).

thf(tp_s4,type,
    s4: $i > $i ).

thf(tp_s5,type,
    s5: $i > $i ).

thf(tp_true,type,
    true: $i ).

thf(1,axiom,
    ! [G: $i,E: $i,F: $i] :
      ( ( ifeq @ ( s5 @ G ) @ true @ ( ifeq @ ( l5 @ G ) @ true @ ( ifeq @ ( k4 @ E ) @ true @ ( ifeq @ ( s3 @ E @ F ) @ true @ ( s5 @ E ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_330) ).

thf(2,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( r4 @ I ) @ true @ ( ifeq @ ( l4 @ H ) @ true @ ( s5 @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_329) ).

thf(3,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( k4 @ B ) @ true @ ( r5 @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_328) ).

thf(4,axiom,
    ! [C: $i,D: $i] :
      ( ( ifeq @ ( s4 @ C ) @ true @ ( ifeq @ ( n3 @ D ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( r5 @ C @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_327) ).

thf(5,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( m4 @ G @ G ) @ true @ ( q5 @ G @ G ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_326) ).

thf(6,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( q4 @ H @ H ) @ true @ ( q5 @ H @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_325) ).

thf(7,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( l4 @ I ) @ true @ ( q5 @ I @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_324) ).

thf(8,axiom,
    ( ( ifeq @ ( r4 @ a ) @ true @ ( q5 @ a @ a ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_323) ).

thf(9,axiom,
    ! [J: $i,A: $i] :
      ( ( ifeq @ ( s4 @ J ) @ true @ ( ifeq @ ( m2 @ A ) @ true @ ( q5 @ J @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_322) ).

thf(10,axiom,
    ! [G: $i,H: $i] :
      ( ( ifeq @ ( k5 @ b ) @ true @ ( ifeq @ ( p4 @ G @ G @ H ) @ true @ ( p5 @ b @ b @ b ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_321) ).

thf(11,axiom,
    ! [J: $i,A: $i,I: $i] :
      ( ( ifeq @ ( q4 @ J @ A ) @ true @ ( ifeq @ ( s1 @ I ) @ true @ ( p5 @ I @ J @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_320) ).

thf(12,axiom,
    ! [B: $i,D: $i,C: $i] :
      ( ( ifeq @ ( p5 @ B @ D @ B ) @ true @ ( ifeq @ ( m4 @ D @ C ) @ true @ ( ifeq @ ( l2 @ B @ D ) @ true @ ( p5 @ B @ C @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_319) ).

thf(13,axiom,
    ! [F: $i,E: $i] :
      ( ( ifeq @ ( s4 @ F ) @ true @ ( ifeq @ ( l2 @ E @ E ) @ true @ ( p5 @ E @ E @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_318) ).

thf(14,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( n4 @ G @ d ) @ true @ ( ifeq @ ( k3 @ d @ G @ a ) @ true @ ( n5 @ d @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_317) ).

thf(15,axiom,
    ! [J: $i,I: $i,H: $i] :
      ( ( ifeq @ ( p4 @ b @ b @ J ) @ true @ ( ifeq @ ( p4 @ I @ H @ H ) @ true @ ( ifeq @ ( s1 @ H ) @ true @ ( n5 @ H @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_316) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( k4 @ A ) @ true @ ( ifeq @ ( s1 @ A ) @ true @ ( n5 @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_315) ).

thf(17,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( r4 @ B ) @ true @ ( n5 @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_314) ).

thf(18,axiom,
    ! [D: $i,C: $i] :
      ( ( ifeq @ ( q4 @ D @ C ) @ true @ ( n5 @ C @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_313) ).

thf(19,axiom,
    ( ( ifeq @ ( n4 @ b @ e ) @ true @ ( ifeq @ ( r3 @ d @ b @ c ) @ true @ ( n5 @ b @ e ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_312) ).

thf(20,axiom,
    ( ( ifeq @ ( p4 @ c @ d @ c ) @ true @ ( n5 @ d @ d ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_311) ).

thf(21,axiom,
    ! [G: $i,E: $i,F: $i] :
      ( ( ifeq @ ( k5 @ d ) @ true @ ( ifeq @ ( m4 @ G @ G ) @ true @ ( ifeq @ ( p0 @ E @ F ) @ true @ ( n5 @ E @ E ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_310) ).

thf(22,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( n4 @ I @ H ) @ true @ ( n5 @ H @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_309) ).

thf(23,axiom,
    ! [A: $i,J: $i] :
      ( ( ifeq @ ( n5 @ A @ J ) @ true @ ( ifeq @ ( m0 @ A @ J @ A ) @ true @ ( n5 @ J @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_308) ).

thf(24,axiom,
    ! [F: $i,C: $i,D: $i,E: $i,B: $i] :
      ( ( ifeq @ ( n5 @ F @ C ) @ true @ ( ifeq @ ( q4 @ D @ E ) @ true @ ( ifeq @ ( p4 @ F @ F @ C ) @ true @ ( ifeq @ ( n4 @ B @ E ) @ true @ ( n5 @ B @ C ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_307) ).

thf(25,axiom,
    ! [A: $i,J: $i] :
      ( ( ifeq @ ( s4 @ A ) @ true @ ( ifeq @ ( r0 @ J ) @ true @ ( m5 @ J @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_306) ).

thf(26,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( s4 @ B ) @ true @ ( ifeq @ ( m4 @ e @ e ) @ true @ ( m5 @ B @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_305) ).

thf(27,axiom,
    ! [C: $i] :
      ( ( ifeq @ ( k4 @ C ) @ true @ ( m5 @ C @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_304) ).

thf(28,axiom,
    ! [D: $i,F: $i,E: $i] :
      ( ( ifeq @ ( p4 @ D @ F @ E ) @ true @ ( ifeq @ ( r0 @ D ) @ true @ ( m5 @ D @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_303) ).

thf(29,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( q4 @ I @ I ) @ true @ ( ifeq @ ( k1 @ H ) @ true @ ( l5 @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_302) ).

thf(30,axiom,
    ( ( ifeq @ ( s4 @ e ) @ true @ ( ifeq @ ( n1 @ b @ b @ b ) @ true @ ( k5 @ b ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_301) ).

thf(31,axiom,
    ! [F: $i,G: $i,E: $i] :
      ( ( ifeq @ ( s4 @ F ) @ true @ ( ifeq @ ( r3 @ G @ E @ E ) @ true @ ( k5 @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_300) ).

thf(32,axiom,
    ! [B: $i,C: $i,D: $i,A: $i] :
      ( ( ifeq @ ( p3 @ B @ C @ D ) @ true @ ( ifeq @ ( l1 @ A @ C ) @ true @ ( s4 @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).

thf(33,axiom,
    ! [H: $i,I: $i,G: $i,J: $i] :
      ( ( ifeq @ ( q3 @ H @ I ) @ true @ ( ifeq @ ( n3 @ G ) @ true @ ( ifeq @ ( p0 @ J @ G ) @ true @ ( r4 @ G ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).

thf(34,axiom,
    ( ( ifeq @ ( k3 @ c @ e @ b ) @ true @ ( ifeq @ ( l1 @ b @ c ) @ true @ ( q4 @ b @ b ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_297) ).

thf(35,axiom,
    ! [J: $i,A: $i,I: $i] :
      ( ( ifeq @ ( q4 @ J @ A ) @ true @ ( ifeq @ ( l4 @ J ) @ true @ ( ifeq @ ( r1 @ I ) @ true @ ( q4 @ I @ I ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_296) ).

thf(36,axiom,
    ! [E: $i,F: $i,D: $i,B: $i,C: $i] :
      ( ( ifeq @ ( m3 @ E @ F @ E ) @ true @ ( ifeq @ ( k3 @ D @ D @ B ) @ true @ ( ifeq @ ( q2 @ E @ C @ B ) @ true @ ( q4 @ B @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).

thf(37,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( n3 @ a ) @ true @ ( ifeq @ ( m3 @ B @ c @ a ) @ true @ ( p4 @ c @ c @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_294) ).

thf(38,axiom,
    ! [E: $i,C: $i,D: $i] :
      ( ( ifeq @ ( n4 @ E @ C ) @ true @ ( ifeq @ ( q3 @ D @ E ) @ true @ ( ifeq @ ( l3 @ D @ D ) @ true @ ( p4 @ C @ C @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_293) ).

thf(39,axiom,
    ! [F: $i,H: $i,G: $i] :
      ( ( ifeq @ ( n4 @ F @ H ) @ true @ ( ifeq @ ( k3 @ G @ H @ H ) @ true @ ( ifeq @ ( p1 @ H @ G @ F ) @ true @ ( p4 @ F @ F @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_292) ).

thf(40,axiom,
    ! [J: $i,I: $i] :
      ( ( ifeq @ ( p3 @ J @ J @ I ) @ true @ ( p4 @ I @ I @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_291) ).

thf(41,axiom,
    ! [A: $i,C: $i,B: $i] :
      ( ( ifeq @ ( p4 @ A @ C @ A ) @ true @ ( ifeq @ ( m3 @ B @ C @ A ) @ true @ ( p4 @ A @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_290) ).

thf(42,axiom,
    ! [F: $i,G: $i,D: $i,E: $i] :
      ( ( ifeq @ ( p4 @ F @ G @ F ) @ true @ ( ifeq @ ( l4 @ D ) @ true @ ( ifeq @ ( n0 @ D @ E ) @ true @ ( p4 @ D @ D @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_289) ).

thf(43,axiom,
    ! [J: $i,A: $i,I: $i,H: $i] :
      ( ( ifeq @ ( p4 @ J @ J @ A ) @ true @ ( ifeq @ ( r3 @ I @ I @ H ) @ true @ ( p4 @ H @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_288) ).

thf(44,axiom,
    ! [B: $i,C: $i] :
      ( ( ifeq @ ( k3 @ B @ B @ C ) @ true @ ( p4 @ B @ C @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).

thf(45,axiom,
    ! [E: $i,F: $i,D: $i] :
      ( ( ifeq @ ( q3 @ E @ F ) @ true @ ( ifeq @ ( n3 @ D ) @ true @ ( p4 @ D @ D @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_286) ).

thf(46,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( r3 @ H @ G @ H ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( p4 @ G @ G @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_285) ).

thf(47,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( k4 @ I ) @ true @ ( ifeq @ ( m3 @ H @ H @ H ) @ true @ ( n4 @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_284) ).

thf(48,axiom,
    ( ( ifeq @ ( p3 @ b @ e @ a ) @ true @ ( ifeq @ ( l3 @ b @ a ) @ true @ ( n4 @ e @ e ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_283) ).

thf(49,axiom,
    ( ( ifeq @ ( k3 @ c @ c @ e ) @ true @ ( ifeq @ ( q1 @ d @ d @ d ) @ true @ ( n4 @ d @ d ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_282) ).

thf(50,axiom,
    ! [J: $i,A: $i] :
      ( ( ifeq @ ( n4 @ J @ J ) @ true @ ( ifeq @ ( p3 @ J @ A @ A ) @ true @ ( n4 @ J @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_281) ).

thf(51,axiom,
    ! [E: $i,G: $i,F: $i] :
      ( ( ifeq @ ( s3 @ a @ E ) @ true @ ( ifeq @ ( l2 @ G @ F ) @ true @ ( m4 @ E @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_279) ).

thf(52,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( l4 @ I ) @ true @ ( ifeq @ ( m0 @ I @ H @ H ) @ true @ ( l4 @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_278) ).

thf(53,axiom,
    ! [A: $i,B: $i,J: $i] :
      ( ( ifeq @ ( p3 @ A @ B @ J ) @ true @ ( l4 @ J ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).

thf(54,axiom,
    ! [C: $i,D: $i] :
      ( ( ifeq @ ( r3 @ C @ e @ D ) @ true @ ( ifeq @ ( q3 @ C @ C ) @ true @ ( ifeq @ ( q1 @ a @ a @ D ) @ true @ ( k4 @ e ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_276) ).

thf(55,axiom,
    ( ( ifeq @ ( q3 @ e @ b ) @ true @ ( ifeq @ ( n3 @ e ) @ true @ ( ifeq @ ( n0 @ c @ d ) @ true @ ( k4 @ c ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_274) ).

thf(56,axiom,
    ! [I: $i,A: $i,B: $i,J: $i] :
      ( ( ifeq @ ( s2 @ I ) @ true @ ( ifeq @ ( q2 @ A @ I @ A ) @ true @ ( ifeq @ ( m0 @ A @ B @ J ) @ true @ ( s3 @ I @ J ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).

thf(57,axiom,
    ! [B: $i,J: $i,A: $i] :
      ( ( ifeq @ ( r3 @ B @ J @ J ) @ true @ ( ifeq @ ( r2 @ B ) @ true @ ( ifeq @ ( k2 @ A @ B ) @ true @ ( r3 @ J @ A @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_272) ).

thf(58,axiom,
    ! [D: $i,C: $i,E: $i] :
      ( ( ifeq @ ( r3 @ D @ D @ D ) @ true @ ( ifeq @ ( p3 @ D @ C @ E ) @ true @ ( r3 @ C @ C @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_271) ).

thf(59,axiom,
    ! [F: $i] :
      ( ( ifeq @ ( p2 @ b @ F @ b ) @ true @ ( ifeq @ ( l2 @ F @ F ) @ true @ ( ifeq @ ( r0 @ F ) @ true @ ( r3 @ F @ b @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_270) ).

thf(60,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( m3 @ a @ G @ G ) @ true @ ( ifeq @ ( q2 @ G @ e @ G ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( ifeq @ ( k2 @ a @ a ) @ true @ ( r3 @ a @ a @ e ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_269) ).

thf(61,axiom,
    ! [I: $i,A: $i,J: $i,H: $i] :
      ( ( ifeq @ ( r3 @ I @ A @ A ) @ true @ ( ifeq @ ( m3 @ J @ b @ H ) @ true @ ( ifeq @ ( m2 @ I ) @ true @ ( r3 @ H @ H @ I ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_268) ).

thf(62,axiom,
    ! [B: $i,D: $i,C: $i] :
      ( ( ifeq @ ( p2 @ B @ D @ C ) @ true @ ( r3 @ B @ C @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).

thf(63,axiom,
    ! [E: $i] :
      ( ( ifeq @ ( r2 @ E ) @ true @ ( r3 @ E @ E @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_266) ).

thf(64,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( l2 @ G @ F ) @ true @ ( r3 @ F @ F @ F ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_265) ).

thf(65,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( s2 @ H ) @ true @ ( r3 @ H @ H @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_264) ).

thf(66,axiom,
    ! [I: $i,J: $i] :
      ( ( ifeq @ ( r3 @ I @ I @ J ) @ true @ ( ifeq @ ( m0 @ d @ J @ I ) @ true @ ( r3 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_263) ).

thf(67,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ifeq @ ( r3 @ A @ B @ A ) @ true @ ( ifeq @ ( l2 @ C @ B ) @ true @ ( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( r3 @ A @ A @ A ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_262) ).

thf(68,axiom,
    ! [D: $i,F: $i,E: $i] :
      ( ( ifeq @ ( r2 @ D ) @ true @ ( ifeq @ ( n1 @ F @ F @ F ) @ true @ ( ifeq @ ( l1 @ E @ F ) @ true @ ( r3 @ D @ D @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_261) ).

thf(69,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( s2 @ H ) @ true @ ( ifeq @ ( l2 @ c @ G ) @ true @ ( r3 @ G @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_260) ).

thf(70,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( q3 @ H @ G ) @ true @ ( ifeq @ ( r2 @ d ) @ true @ ( ifeq @ ( m0 @ H @ d @ H ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( q3 @ G @ G ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_259) ).

thf(71,axiom,
    ! [I: $i,A: $i,J: $i] :
      ( ( ifeq @ ( r2 @ I ) @ true @ ( ifeq @ ( l2 @ A @ A ) @ true @ ( ifeq @ ( s1 @ J ) @ true @ ( q3 @ I @ I ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_258) ).

thf(72,axiom,
    ! [C: $i,B: $i,D: $i] :
      ( ( ifeq @ ( q3 @ C @ B ) @ true @ ( ifeq @ ( s2 @ B ) @ true @ ( ifeq @ ( n1 @ D @ B @ C ) @ true @ ( q3 @ B @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_257) ).

thf(73,axiom,
    ! [F: $i,E: $i] :
      ( ( ifeq @ ( q3 @ F @ E ) @ true @ ( ifeq @ ( p2 @ F @ E @ E ) @ true @ ( q3 @ E @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_256) ).

thf(74,axiom,
    ! [I: $i,G: $i,H: $i] :
      ( ( ifeq @ ( q2 @ I @ G @ H ) @ true @ ( ifeq @ ( n0 @ I @ G ) @ true @ ( q3 @ G @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).

thf(75,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( m3 @ e @ G @ e ) @ true @ ( ifeq @ ( q2 @ G @ G @ b ) @ true @ ( p3 @ e @ b @ e ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_254) ).

thf(76,axiom,
    ( ( ifeq @ ( k2 @ c @ b ) @ true @ ( p3 @ b @ c @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_253) ).

thf(77,axiom,
    ! [J: $i,I: $i,H: $i] :
      ( ( ifeq @ ( k2 @ J @ J ) @ true @ ( ifeq @ ( q0 @ I @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_252) ).

thf(78,axiom,
    ! [B: $i,C: $i,D: $i,A: $i] :
      ( ( ifeq @ ( m3 @ B @ C @ D ) @ true @ ( ifeq @ ( p2 @ A @ B @ D ) @ true @ ( p3 @ A @ B @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_251) ).

thf(79,axiom,
    ! [F: $i,G: $i,E: $i] :
      ( ( ifeq @ ( q2 @ F @ G @ E ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( p3 @ E @ E @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_250) ).

thf(80,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( n2 @ H ) @ true @ ( ifeq @ ( k1 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_249) ).

thf(81,axiom,
    ! [I: $i,J: $i] :
      ( ( ifeq @ ( n3 @ I ) @ true @ ( ifeq @ ( p2 @ J @ I @ I ) @ true @ ( p3 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_248) ).

thf(82,axiom,
    ! [B: $i,C: $i,A: $i] :
      ( ( ifeq @ ( q2 @ B @ C @ A ) @ true @ ( ifeq @ ( n2 @ A ) @ true @ ( ifeq @ ( s1 @ B ) @ true @ ( p3 @ A @ A @ A ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_247) ).

thf(83,axiom,
    ! [D: $i] :
      ( ( ifeq @ ( l2 @ D @ D ) @ true @ ( p3 @ D @ D @ D ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_246) ).

thf(84,axiom,
    ! [G: $i,F: $i,E: $i] :
      ( ( ifeq @ ( p3 @ G @ G @ F ) @ true @ ( ifeq @ ( l3 @ F @ E ) @ true @ ( ifeq @ ( l1 @ F @ F ) @ true @ ( p3 @ E @ E @ E ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_245) ).

thf(85,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( n2 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).

thf(86,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( n3 @ I ) @ true @ ( ifeq @ ( l3 @ b @ e ) @ true @ ( ifeq @ ( q2 @ I @ d @ I ) @ true @ ( ifeq @ ( p2 @ d @ b @ c ) @ true @ ( p3 @ I @ d @ e ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_243) ).

thf(87,axiom,
    ! [A: $i,B: $i,J: $i] :
      ( ( ifeq @ ( k3 @ A @ B @ J ) @ true @ ( ifeq @ ( r2 @ A ) @ true @ ( p3 @ J @ A @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_242) ).

thf(88,axiom,
    ! [F: $i,C: $i,D: $i,E: $i] :
      ( ( ifeq @ ( q2 @ F @ d @ C ) @ true @ ( ifeq @ ( k2 @ D @ E ) @ true @ ( p3 @ C @ D @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_241) ).

thf(89,axiom,
    ! [E: $i,F: $i,D: $i] :
      ( ( ifeq @ ( p2 @ E @ F @ D ) @ true @ ( n3 @ D ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).

thf(90,axiom,
    ( ( ifeq @ ( l2 @ a @ b ) @ true @ ( m3 @ b @ b @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_239) ).

thf(91,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( p2 @ I @ I @ I ) @ true @ ( m3 @ I @ I @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).

thf(92,axiom,
    ! [J: $i] :
      ( ( ifeq @ ( s2 @ c ) @ true @ ( ifeq @ ( q2 @ J @ c @ c ) @ true @ ( m3 @ J @ c @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_237) ).

thf(93,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( n2 @ A ) @ true @ ( m3 @ A @ A @ A ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).

thf(94,axiom,
    ! [B: $i,C: $i] :
      ( ( ifeq @ ( k3 @ B @ C @ B ) @ true @ ( ifeq @ ( r2 @ C ) @ true @ ( m3 @ B @ B @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_235) ).

thf(95,axiom,
    ! [D: $i] :
      ( ( ifeq @ ( p2 @ D @ e @ e ) @ true @ ( ifeq @ ( n2 @ e ) @ true @ ( m3 @ D @ e @ e ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_234) ).

thf(96,axiom,
    ! [E: $i,F: $i] :
      ( ( ifeq @ ( n2 @ E ) @ true @ ( ifeq @ ( m2 @ F ) @ true @ ( m3 @ E @ E @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_233) ).

thf(97,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( n2 @ G ) @ true @ ( ifeq @ ( l2 @ G @ G ) @ true @ ( m3 @ G @ G @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_232) ).

thf(98,axiom,
    ! [H: $i,I: $i] :
      ( ( ifeq @ ( r2 @ H ) @ true @ ( ifeq @ ( k2 @ c @ I ) @ true @ ( m3 @ H @ I @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_231) ).

thf(99,axiom,
    ( ( ifeq @ ( q2 @ b @ c @ d ) @ true @ ( ifeq @ ( m2 @ d ) @ true @ ( ifeq @ ( l1 @ d @ b ) @ true @ ( m3 @ c @ b @ d ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_230) ).

thf(100,axiom,
    ( ( ifeq @ ( q2 @ a @ b @ a ) @ true @ ( m3 @ b @ b @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_229) ).

thf(101,axiom,
    ! [B: $i,J: $i,A: $i] :
      ( ( ifeq @ ( m3 @ B @ J @ B ) @ true @ ( ifeq @ ( n2 @ J ) @ true @ ( ifeq @ ( m2 @ A ) @ true @ ( m3 @ J @ A @ A ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_228) ).

thf(102,axiom,
    ! [E: $i,C: $i,D: $i,F: $i] :
      ( ( ifeq @ ( s2 @ E ) @ true @ ( ifeq @ ( r2 @ C ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( m3 @ C @ C @ C ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_227) ).

thf(103,axiom,
    ! [G: $i,I: $i,H: $i] :
      ( ( ifeq @ ( m3 @ G @ I @ G ) @ true @ ( ifeq @ ( l2 @ a @ a ) @ true @ ( ifeq @ ( k2 @ H @ I ) @ true @ ( ifeq @ ( n0 @ I @ a ) @ true @ ( m3 @ G @ G @ G ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_226) ).

thf(104,axiom,
    ! [B: $i,C: $i,J: $i,A: $i] :
      ( ( ifeq @ ( s2 @ B ) @ true @ ( ifeq @ ( l2 @ C @ J ) @ true @ ( ifeq @ ( m0 @ B @ B @ A ) @ true @ ( ifeq @ ( m0 @ J @ C @ C ) @ true @ ( m3 @ J @ A @ J ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_225) ).

thf(105,axiom,
    ( ( ifeq @ ( k3 @ a @ c @ a ) @ true @ ( ifeq @ ( s2 @ d ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( l3 @ d @ c ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_224) ).

thf(106,axiom,
    ( ( ifeq @ ( k2 @ b @ c ) @ true @ ( l3 @ c @ c ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_223) ).

thf(107,axiom,
    ! [E: $i,D: $i,F: $i] :
      ( ( ifeq @ ( k3 @ E @ D @ D ) @ true @ ( ifeq @ ( l2 @ F @ F ) @ true @ ( l3 @ D @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_222) ).

thf(108,axiom,
    ( ( ifeq @ ( k2 @ a @ d ) @ true @ ( l3 @ d @ d ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_221) ).

thf(109,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( s2 @ H ) @ true @ ( ifeq @ ( l1 @ G @ G ) @ true @ ( l3 @ G @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_220) ).

thf(110,axiom,
    ! [A: $i,J: $i,I: $i] :
      ( ( ifeq @ ( l3 @ A @ A ) @ true @ ( ifeq @ ( n2 @ J ) @ true @ ( ifeq @ ( l1 @ A @ I ) @ true @ ( l3 @ I @ I ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_219) ).

thf(111,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( r2 @ B ) @ true @ ( l3 @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_218) ).

thf(112,axiom,
    ! [C: $i] :
      ( ( ifeq @ ( n2 @ C ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( l3 @ C @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_217) ).

thf(113,axiom,
    ! [E: $i,F: $i,D: $i] :
      ( ( ifeq @ ( p2 @ E @ F @ D ) @ true @ ( ifeq @ ( p1 @ D @ D @ E ) @ true @ ( l3 @ D @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_216) ).

thf(114,axiom,
    ! [G: $i,H: $i] :
      ( ( ifeq @ ( p2 @ G @ H @ G ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( l3 @ G @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).

thf(115,axiom,
    ( ( ifeq @ ( r2 @ c ) @ true @ ( k3 @ c @ c @ c ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_214) ).

thf(116,axiom,
    ! [J: $i,A: $i,I: $i] :
      ( ( ifeq @ ( p2 @ J @ A @ A ) @ true @ ( ifeq @ ( r1 @ I ) @ true @ ( k3 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_213) ).

thf(117,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( m2 @ B ) @ true @ ( k3 @ B @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_212) ).

thf(118,axiom,
    ! [C: $i] :
      ( ( ifeq @ ( r2 @ e ) @ true @ ( ifeq @ ( l0 @ C ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( k3 @ C @ C @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_211) ).

thf(119,axiom,
    ! [D: $i] :
      ( ( ifeq @ ( n2 @ D ) @ true @ ( k3 @ D @ D @ D ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).

thf(120,axiom,
    ! [G: $i,H: $i,E: $i,F: $i] :
      ( ( ifeq @ ( k3 @ G @ H @ G ) @ true @ ( ifeq @ ( s2 @ E ) @ true @ ( ifeq @ ( m2 @ F ) @ true @ ( ifeq @ ( l1 @ G @ H ) @ true @ ( k3 @ E @ E @ E ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_209) ).

thf(121,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( l1 @ b @ I ) @ true @ ( k3 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_208) ).

thf(122,axiom,
    ! [D: $i,C: $i] :
      ( ( ifeq @ ( p2 @ D @ C @ C ) @ true @ ( k3 @ C @ D @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_206) ).

thf(123,axiom,
    ! [F: $i,E: $i] :
      ( ( ifeq @ ( p2 @ F @ E @ E ) @ true @ ( k3 @ E @ E @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_205) ).

thf(124,axiom,
    ( ( ifeq @ ( r2 @ a ) @ true @ ( k3 @ a @ a @ a ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_204) ).

thf(125,axiom,
    ( ( ifeq @ ( r2 @ a ) @ true @ ( ifeq @ ( l2 @ e @ b ) @ true @ ( ifeq @ ( p1 @ a @ d @ b ) @ true @ ( k3 @ d @ d @ d ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_203) ).

thf(126,axiom,
    ! [H: $i,A: $i,J: $i,G: $i,I: $i] :
      ( ( ifeq @ ( k3 @ H @ A @ J ) @ true @ ( ifeq @ ( k2 @ G @ J ) @ true @ ( ifeq @ ( q0 @ I @ H ) @ true @ ( k3 @ G @ G @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_202) ).

thf(127,axiom,
    ! [E: $i,D: $i,C: $i,B: $i] :
      ( ( ifeq @ ( m2 @ E ) @ true @ ( ifeq @ ( m2 @ D ) @ true @ ( ifeq @ ( p1 @ C @ D @ B ) @ true @ ( k3 @ B @ B @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_201) ).

thf(128,axiom,
    ! [F: $i,G: $i,H: $i] :
      ( ( ifeq @ ( k3 @ F @ G @ G ) @ true @ ( ifeq @ ( p2 @ G @ H @ e ) @ true @ ( ifeq @ ( s1 @ G ) @ true @ ( k3 @ F @ F @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_200) ).

thf(129,axiom,
    ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( k0 @ a ) @ true @ ( k3 @ c @ c @ c ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_198) ).

thf(130,axiom,
    ! [B: $i,A: $i] :
      ( ( ifeq @ ( l2 @ B @ b ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( k3 @ A @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_197) ).

thf(131,axiom,
    ! [D: $i,E: $i,C: $i] :
      ( ( ifeq @ ( p2 @ D @ E @ D ) @ true @ ( ifeq @ ( m1 @ C @ C @ E ) @ true @ ( k3 @ C @ C @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_196) ).

thf(132,axiom,
    ( ( ifeq @ ( s2 @ e ) @ true @ ( ifeq @ ( k2 @ c @ e ) @ true @ ( k3 @ c @ c @ c ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_195) ).

thf(133,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( k2 @ G @ F ) @ true @ ( k3 @ F @ F @ G ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_194) ).

thf(134,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( s2 @ I ) @ true @ ( ifeq @ ( q2 @ d @ I @ d ) @ true @ ( ifeq @ ( s1 @ H ) @ true @ ( k3 @ H @ H @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_193) ).

thf(135,axiom,
    ! [B: $i,A: $i,C: $i,J: $i] :
      ( ( ifeq @ ( p2 @ B @ A @ C ) @ true @ ( ifeq @ ( s1 @ A ) @ true @ ( ifeq @ ( n0 @ J @ C ) @ true @ ( k3 @ J @ A @ J ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_192) ).

thf(136,axiom,
    ( ( ifeq @ ( s1 @ d ) @ true @ ( ifeq @ ( r1 @ d ) @ true @ ( s2 @ d ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_191) ).

thf(137,axiom,
    ( ( ifeq @ ( s1 @ a ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( s2 @ d ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).

thf(138,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( q2 @ b @ H @ b ) @ true @ ( ifeq @ ( s1 @ b ) @ true @ ( s2 @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).

thf(139,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( r1 @ G ) @ true @ ( ifeq @ ( l0 @ G ) @ true @ ( r2 @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).

thf(140,axiom,
    ! [D: $i,E: $i,F: $i,C: $i] :
      ( ( ifeq @ ( q2 @ D @ D @ D ) @ true @ ( ifeq @ ( r1 @ D ) @ true @ ( ifeq @ ( k0 @ D ) @ true @ ( ifeq @ ( m0 @ E @ F @ C ) @ true @ ( q2 @ C @ D @ C ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_187) ).

thf(141,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( l1 @ H @ G ) @ true @ ( q2 @ G @ G @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).

thf(142,axiom,
    ! [A: $i,J: $i,I: $i] :
      ( ( ifeq @ ( q2 @ A @ A @ J ) @ true @ ( ifeq @ ( n1 @ J @ d @ A ) @ true @ ( ifeq @ ( k1 @ I ) @ true @ ( q2 @ I @ I @ I ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_185) ).

thf(143,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( q1 @ C @ c @ B ) @ true @ ( q2 @ B @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_184) ).

thf(144,axiom,
    ! [E: $i,D: $i] :
      ( ( ifeq @ ( l2 @ E @ D ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( q2 @ D @ c @ E ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_183) ).

thf(145,axiom,
    ! [G: $i,H: $i,F: $i] :
      ( ( ifeq @ ( q2 @ G @ H @ F ) @ true @ ( ifeq @ ( p1 @ F @ F @ H ) @ true @ ( ifeq @ ( n1 @ G @ F @ H ) @ true @ ( q2 @ F @ G @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).

thf(146,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( p1 @ I @ I @ I ) @ true @ ( q2 @ I @ I @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).

thf(147,axiom,
    ( ( ifeq @ ( q2 @ d @ c @ a ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q0 @ e @ c ) @ true @ ( q2 @ d @ a @ a ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_180) ).

thf(148,axiom,
    ! [J: $i,A: $i] :
      ( ( ifeq @ ( n1 @ J @ J @ A ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( q2 @ J @ J @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_179) ).

thf(149,axiom,
    ! [C: $i,B: $i,D: $i] :
      ( ( ifeq @ ( n1 @ C @ B @ D ) @ true @ ( ifeq @ ( q0 @ C @ B ) @ true @ ( q2 @ B @ B @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_178) ).

thf(150,axiom,
    ! [E: $i,F: $i] :
      ( ( ifeq @ ( p1 @ E @ E @ E ) @ true @ ( ifeq @ ( k0 @ F ) @ true @ ( q2 @ E @ F @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).

thf(151,axiom,
    ! [E: $i,D: $i] :
      ( ( ifeq @ ( m1 @ E @ D @ E ) @ true @ ( p2 @ D @ E @ D ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).

thf(152,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( l1 @ G @ F ) @ true @ ( p2 @ F @ F @ F ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_175) ).

thf(153,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( n2 @ H ) @ true @ ( ifeq @ ( k1 @ e ) @ true @ ( p2 @ H @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_174) ).

thf(154,axiom,
    ! [J: $i,I: $i] :
      ( ( ifeq @ ( r1 @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( p2 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_173) ).

thf(155,axiom,
    ( ( ifeq @ ( p1 @ e @ e @ a ) @ true @ ( p2 @ a @ a @ a ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_172) ).

thf(156,axiom,
    ! [B: $i,A: $i] :
      ( ( ifeq @ ( n1 @ B @ B @ B ) @ true @ ( ifeq @ ( p0 @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_171) ).

thf(157,axiom,
    ! [C: $i] :
      ( ( ifeq @ ( n1 @ C @ e @ e ) @ true @ ( p2 @ C @ e @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_170) ).

thf(158,axiom,
    ! [E: $i,D: $i,F: $i] :
      ( ( ifeq @ ( q1 @ E @ E @ E ) @ true @ ( ifeq @ ( p1 @ D @ F @ D ) @ true @ ( p2 @ D @ D @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_169) ).

thf(159,axiom,
    ( ( ifeq @ ( l2 @ e @ b ) @ true @ ( ifeq @ ( r1 @ e ) @ true @ ( ifeq @ ( m1 @ d @ a @ c ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( p2 @ a @ c @ b ) @ true ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_168) ).

thf(160,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( s1 @ G ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( p2 @ G @ G @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_167) ).

thf(161,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( m1 @ a @ H @ d ) @ true @ ( ifeq @ ( n0 @ H @ d ) @ true @ ( p2 @ a @ H @ d ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_166) ).

thf(162,axiom,
    ! [J: $i,A: $i,I: $i] :
      ( ( ifeq @ ( p2 @ J @ J @ A ) @ true @ ( ifeq @ ( q1 @ J @ A @ J ) @ true @ ( p2 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_165) ).

thf(163,axiom,
    ! [D: $i,C: $i,B: $i] :
      ( ( ifeq @ ( p2 @ D @ C @ B ) @ true @ ( ifeq @ ( r1 @ C ) @ true @ ( ifeq @ ( p0 @ B @ B ) @ true @ ( p2 @ B @ B @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_164) ).

thf(164,axiom,
    ! [E: $i,F: $i] :
      ( ( ifeq @ ( k2 @ E @ c ) @ true @ ( ifeq @ ( q1 @ F @ c @ F ) @ true @ ( p2 @ E @ E @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_163) ).

thf(165,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( q1 @ e @ c @ G ) @ true @ ( ifeq @ ( p1 @ G @ b @ b ) @ true @ ( ifeq @ ( n1 @ e @ e @ G ) @ true @ ( p2 @ b @ c @ c ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_162) ).

thf(166,axiom,
    ( ( ifeq @ ( p1 @ d @ b @ e ) @ true @ ( p2 @ d @ b @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_161) ).

thf(167,axiom,
    ! [J: $i,H: $i,I: $i] :
      ( ( ifeq @ ( p2 @ a @ J @ H ) @ true @ ( ifeq @ ( m1 @ a @ a @ I ) @ true @ ( p2 @ H @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_160) ).

thf(168,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( k1 @ A ) @ true @ ( p2 @ A @ A @ A ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).

thf(169,axiom,
    ! [B: $i,D: $i,C: $i] :
      ( ( ifeq @ ( p2 @ B @ D @ B ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q1 @ c @ B @ D ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( p2 @ B @ B @ C ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_158) ).

thf(170,axiom,
    ! [E: $i] :
      ( ( ifeq @ ( l1 @ E @ d ) @ true @ ( p2 @ E @ E @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_157) ).

thf(171,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( q1 @ a @ G @ F ) @ true @ ( ifeq @ ( n1 @ e @ F @ a ) @ true @ ( p2 @ F @ e @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_156) ).

thf(172,axiom,
    ! [H: $i,I: $i,J: $i] :
      ( ( ifeq @ ( p2 @ e @ H @ I ) @ true @ ( ifeq @ ( k1 @ J ) @ true @ ( p2 @ H @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_155) ).

thf(173,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( q1 @ A @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).

thf(174,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( n1 @ d @ d @ B ) @ true @ ( p2 @ B @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_153) ).

thf(175,axiom,
    ! [C: $i,D: $i,E: $i] :
      ( ( ifeq @ ( p2 @ C @ D @ C ) @ true @ ( ifeq @ ( n1 @ E @ D @ E ) @ true @ ( ifeq @ ( p0 @ C @ D ) @ true @ ( p2 @ C @ D @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_152) ).

thf(176,axiom,
    ( ( ifeq @ ( s0 @ d ) @ true @ ( ifeq @ ( k1 @ d ) @ true @ ( p2 @ d @ d @ d ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_151) ).

thf(177,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( m1 @ G @ G @ F ) @ true @ ( p2 @ F @ F @ F ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).

thf(178,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( r1 @ a ) @ true @ ( ifeq @ ( m0 @ I @ H @ d ) @ true @ ( p2 @ H @ H @ d ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_149) ).

thf(179,axiom,
    ! [A: $i,J: $i,B: $i] :
      ( ( ifeq @ ( p2 @ A @ J @ A ) @ true @ ( ifeq @ ( m1 @ A @ B @ J ) @ true @ ( p2 @ J @ J @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_148) ).

thf(180,axiom,
    ( ( ifeq @ ( r1 @ d ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( p2 @ e @ c @ c ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_147) ).

thf(181,axiom,
    ! [C: $i,D: $i,E: $i,F: $i] :
      ( ( ifeq @ ( p2 @ C @ D @ C ) @ true @ ( ifeq @ ( p1 @ C @ E @ F ) @ true @ ( ifeq @ ( l1 @ E @ F ) @ true @ ( p2 @ C @ D @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_146) ).

thf(182,axiom,
    ! [G: $i,H: $i] :
      ( ( ifeq @ ( p1 @ G @ H @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ e @ G @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_145) ).

thf(183,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( k2 @ c @ a ) @ true @ ( ifeq @ ( n1 @ c @ I @ I ) @ true @ ( ifeq @ ( p0 @ b @ I ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ b @ c @ a ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_144) ).

thf(184,axiom,
    ( ( ifeq @ ( q1 @ e @ e @ e ) @ true @ ( ifeq @ ( l1 @ c @ b ) @ true @ ( p2 @ c @ e @ e ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_143) ).

thf(185,axiom,
    ! [A: $i,J: $i] :
      ( ( ifeq @ ( l2 @ a @ A ) @ true @ ( ifeq @ ( k2 @ J @ a ) @ true @ ( ifeq @ ( k0 @ A ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( p2 @ J @ J @ J ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_142) ).

thf(186,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( q1 @ B @ a @ B ) @ true @ ( p2 @ B @ a @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_141) ).

thf(187,axiom,
    ! [I: $i,J: $i] :
      ( ( ifeq @ ( r1 @ b ) @ true @ ( ifeq @ ( p1 @ b @ I @ J ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( n2 @ e ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_140) ).

thf(188,axiom,
    ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( n2 @ c ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_139) ).

thf(189,axiom,
    ( ( ifeq @ ( q1 @ c @ a @ d ) @ true @ ( ifeq @ ( n1 @ e @ a @ e ) @ true @ ( ifeq @ ( m1 @ b @ a @ e ) @ true @ ( ifeq @ ( k1 @ c ) @ true @ ( n2 @ a ) @ true ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_138) ).

thf(190,axiom,
    ! [B: $i,C: $i,A: $i] :
      ( ( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( n2 @ A ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

thf(191,axiom,
    ( ( ifeq @ ( k1 @ b ) @ true @ ( m2 @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_136) ).

thf(192,axiom,
    ! [F: $i,G: $i,H: $i] :
      ( ( ifeq @ ( s0 @ F ) @ true @ ( ifeq @ ( l1 @ G @ H ) @ true @ ( m2 @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).

thf(193,axiom,
    ! [I: $i,H: $i,G: $i] :
      ( ( ifeq @ ( m1 @ I @ H @ H ) @ true @ ( ifeq @ ( p0 @ H @ G ) @ true @ ( ifeq @ ( m0 @ H @ G @ I ) @ true @ ( l2 @ G @ G ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_134) ).

thf(194,axiom,
    ! [B: $i,A: $i,C: $i,J: $i] :
      ( ( ifeq @ ( s1 @ B ) @ true @ ( ifeq @ ( p0 @ A @ A ) @ true @ ( ifeq @ ( m0 @ C @ B @ J ) @ true @ ( l2 @ J @ J ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

thf(195,axiom,
    ! [E: $i,D: $i] :
      ( ( ifeq @ ( l2 @ E @ E ) @ true @ ( ifeq @ ( s1 @ D ) @ true @ ( ifeq @ ( n0 @ e @ E ) @ true @ ( l2 @ D @ E ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_131) ).

thf(196,axiom,
    ( ( ifeq @ ( l1 @ e @ e ) @ true @ ( k2 @ e @ e ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_130) ).

thf(197,axiom,
    ! [A: $i,J: $i] :
      ( ( ifeq @ ( q1 @ A @ J @ J ) @ true @ ( k2 @ J @ J ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).

thf(198,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( q1 @ B @ B @ d ) @ true @ ( ifeq @ ( n1 @ e @ d @ B ) @ true @ ( ifeq @ ( m1 @ B @ e @ B ) @ true @ ( k2 @ B @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_128) ).

thf(199,axiom,
    ! [F: $i,D: $i,E: $i,C: $i] :
      ( ( ifeq @ ( k2 @ F @ D ) @ true @ ( ifeq @ ( m1 @ E @ D @ C ) @ true @ ( ifeq @ ( k1 @ F ) @ true @ ( k2 @ C @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).

thf(200,axiom,
    ! [H: $i,F: $i,G: $i] :
      ( ( ifeq @ ( s1 @ H ) @ true @ ( ifeq @ ( q0 @ F @ G ) @ true @ ( s1 @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

thf(201,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( p0 @ I @ I ) @ true @ ( s1 @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

thf(202,axiom,
    ! [E: $i,D: $i] :
      ( ( ifeq @ ( q1 @ d @ E @ d ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( r1 @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).

thf(203,axiom,
    ! [F: $i] :
      ( ( ifeq @ ( r0 @ F ) @ true @ ( ifeq @ ( m0 @ c @ F @ F ) @ true @ ( q1 @ F @ F @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_123) ).

thf(204,axiom,
    ! [G: $i,H: $i] :
      ( ( ifeq @ ( m0 @ G @ H @ G ) @ true @ ( q1 @ G @ G @ G ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_122) ).

thf(205,axiom,
    ! [J: $i,A: $i,I: $i] :
      ( ( ifeq @ ( m0 @ J @ A @ I ) @ true @ ( q1 @ I @ I @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_121) ).

thf(206,axiom,
    ( ( ifeq @ ( r0 @ b ) @ true @ ( q1 @ b @ b @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_120) ).

thf(207,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( s0 @ B ) @ true @ ( q1 @ B @ b @ b ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_119) ).

thf(208,axiom,
    ! [D: $i,C: $i] :
      ( ( ifeq @ ( n1 @ D @ d @ C ) @ true @ ( ifeq @ ( p0 @ b @ d ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( q1 @ C @ C @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_118) ).

thf(209,axiom,
    ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( q1 @ d @ d @ d ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_117) ).

thf(210,axiom,
    ! [E: $i] :
      ( ( ifeq @ ( r0 @ E ) @ true @ ( q1 @ E @ E @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_116) ).

thf(211,axiom,
    ( ( ifeq @ ( l0 @ b ) @ true @ ( q1 @ b @ b @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_115) ).

thf(212,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( m0 @ F @ F @ G ) @ true @ ( q1 @ F @ F @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_114) ).

thf(213,axiom,
    ! [H: $i,I: $i,J: $i] :
      ( ( ifeq @ ( m1 @ H @ I @ I ) @ true @ ( ifeq @ ( r0 @ J ) @ true @ ( q1 @ H @ H @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_113) ).

thf(214,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( q1 @ A @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_112) ).

thf(215,axiom,
    ( ( ifeq @ ( m1 @ c @ d @ a ) @ true @ ( ifeq @ ( m0 @ c @ b @ a ) @ true @ ( q1 @ d @ d @ c ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_111) ).

thf(216,axiom,
    ! [C: $i,D: $i,B: $i] :
      ( ( ifeq @ ( m0 @ C @ D @ B ) @ true @ ( q1 @ B @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).

thf(217,axiom,
    ! [G: $i,F: $i,E: $i] :
      ( ( ifeq @ ( p0 @ G @ G ) @ true @ ( ifeq @ ( q0 @ F @ E ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( q1 @ E @ E @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_109) ).

thf(218,axiom,
    ! [H: $i,I: $i,J: $i] :
      ( ( ifeq @ ( p1 @ H @ b @ b ) @ true @ ( ifeq @ ( p0 @ I @ J ) @ true @ ( ifeq @ ( q0 @ b @ b ) @ true @ ( q1 @ H @ H @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_108) ).

thf(219,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( m0 @ e @ d @ A ) @ true @ ( ifeq @ ( m0 @ A @ d @ A ) @ true @ ( q1 @ e @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_107) ).

thf(220,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( s0 @ B ) @ true @ ( q1 @ B @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_106) ).

thf(221,axiom,
    ! [D: $i,C: $i] :
      ( ( ifeq @ ( p0 @ D @ d ) @ true @ ( ifeq @ ( s0 @ C ) @ true @ ( q1 @ C @ C @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_105) ).

thf(222,axiom,
    ! [E: $i,H: $i,G: $i,F: $i] :
      ( ( ifeq @ ( l0 @ E ) @ true @ ( ifeq @ ( p0 @ H @ E ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( ifeq @ ( q0 @ F @ F ) @ true @ ( q1 @ E @ F @ E ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_104) ).

thf(223,axiom,
    ! [I: $i] :
      ( ( ifeq @ ( m0 @ I @ c @ b ) @ true @ ( q1 @ I @ I @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_103) ).

thf(224,axiom,
    ! [J: $i,A: $i] :
      ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ A ) @ true @ ( q1 @ J @ J @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_102) ).

thf(225,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( p1 @ b @ b @ B ) @ true @ ( ifeq @ ( q0 @ B @ b ) @ true @ ( ifeq @ ( k1 @ B ) @ true @ ( q1 @ B @ B @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_101) ).

thf(226,axiom,
    ! [D: $i,C: $i] :
      ( ( ifeq @ ( n0 @ D @ C ) @ true @ ( q1 @ C @ C @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_100) ).

thf(227,axiom,
    ! [F: $i,G: $i,E: $i] :
      ( ( ifeq @ ( q1 @ F @ F @ G ) @ true @ ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( l0 @ E ) @ true @ ( q1 @ E @ F @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_099) ).

thf(228,axiom,
    ! [I: $i,J: $i,H: $i] :
      ( ( ifeq @ ( m0 @ I @ I @ J ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( q1 @ H @ H @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_098) ).

thf(229,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( s0 @ A ) @ true @ ( q1 @ A @ A @ A ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_097) ).

thf(230,axiom,
    ! [E: $i,C: $i,D: $i,B: $i] :
      ( ( ifeq @ ( q1 @ E @ C @ D ) @ true @ ( ifeq @ ( n1 @ C @ D @ D ) @ true @ ( ifeq @ ( m1 @ B @ D @ C ) @ true @ ( ifeq @ ( p0 @ C @ E ) @ true @ ( q1 @ B @ B @ B ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_096) ).

thf(231,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( p0 @ G @ F ) @ true @ ( q1 @ F @ G @ G ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_095) ).

thf(232,axiom,
    ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( q1 @ b @ e @ e ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_094) ).

thf(233,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( q0 @ I @ H ) @ true @ ( q1 @ H @ H @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_093) ).

thf(234,axiom,
    ! [C: $i,J: $i,B: $i,A: $i] :
      ( ( ifeq @ ( p0 @ C @ J ) @ true @ ( ifeq @ ( n0 @ B @ A ) @ true @ ( q1 @ J @ A @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_092) ).

thf(235,axiom,
    ! [D: $i,C: $i,G: $i,E: $i,F: $i] :
      ( ( ifeq @ ( n1 @ D @ C @ G ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( k1 @ F ) @ true @ ( p1 @ C @ C @ C ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_091) ).

thf(236,axiom,
    ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p1 @ e @ e @ e ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_090) ).

thf(237,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( n1 @ c @ d @ H ) @ true @ ( ifeq @ ( r0 @ d ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( ifeq @ ( n0 @ c @ H ) @ true @ ( p1 @ d @ d @ H ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_089) ).

thf(238,axiom,
    ( ( ifeq @ ( l0 @ a ) @ true @ ( p1 @ a @ a @ a ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).

thf(239,axiom,
    ( ( ifeq @ ( p1 @ a @ a @ a ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( p1 @ a @ b @ a ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_087) ).

thf(240,axiom,
    ! [I: $i,J: $i,A: $i] :
      ( ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( m0 @ J @ A @ I ) @ true @ ( p1 @ I @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_086) ).

thf(241,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).

thf(242,axiom,
    ! [E: $i,D: $i] :
      ( ( ifeq @ ( m0 @ b @ E @ b ) @ true @ ( ifeq @ ( l1 @ D @ b ) @ true @ ( p1 @ D @ D @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_084) ).

thf(243,axiom,
    ! [F: $i,G: $i] :
      ( ( ifeq @ ( m1 @ F @ G @ b ) @ true @ ( ifeq @ ( k0 @ G ) @ true @ ( p1 @ F @ b @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_083) ).

thf(244,axiom,
    ! [J: $i,H: $i,A: $i,I: $i] :
      ( ( ifeq @ ( p1 @ J @ H @ A ) @ true @ ( ifeq @ ( m0 @ J @ H @ A ) @ true @ ( p1 @ H @ I @ J ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_082) ).

thf(245,axiom,
    ! [C: $i,D: $i,B: $i,F: $i,E: $i] :
      ( ( ifeq @ ( m1 @ C @ D @ B ) @ true @ ( ifeq @ ( l0 @ F ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( p1 @ B @ B @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_081) ).

thf(246,axiom,
    ! [H: $i,J: $i,G: $i,I: $i] :
      ( ( ifeq @ ( n1 @ H @ J @ G ) @ true @ ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( n0 @ H @ H ) @ true @ ( p1 @ G @ G @ G ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_080) ).

thf(247,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( p1 @ A @ A @ A ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_079) ).

thf(248,axiom,
    ( ( ifeq @ ( p0 @ d @ b ) @ true @ ( ifeq @ ( m0 @ e @ a @ a ) @ true @ ( p1 @ d @ d @ b ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_078) ).

thf(249,axiom,
    ( ( ifeq @ ( m0 @ b @ c @ e ) @ true @ ( p1 @ c @ e @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_077) ).

thf(250,axiom,
    ( ( ifeq @ ( p0 @ b @ a ) @ true @ ( p1 @ a @ a @ a ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_075) ).

thf(251,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( ifeq @ ( r0 @ B ) @ true @ ( p1 @ B @ B @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_074) ).

thf(252,axiom,
    ! [D: $i,E: $i] :
      ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( k0 @ D ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( ifeq @ ( n0 @ e @ b ) @ true @ ( p1 @ D @ D @ D ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_073) ).

thf(253,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( s0 @ G ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( p1 @ F @ F @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).

thf(254,axiom,
    ! [I: $i,A: $i,H: $i,J: $i] :
      ( ( ifeq @ ( p1 @ I @ A @ H ) @ true @ ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ H @ I @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_071) ).

thf(255,axiom,
    ( ( ifeq @ ( p0 @ a @ c ) @ true @ ( p1 @ c @ c @ c ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_070) ).

thf(256,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_069) ).

thf(257,axiom,
    ! [D: $i] :
      ( ( ifeq @ ( k0 @ D ) @ true @ ( p1 @ D @ D @ D ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_068) ).

thf(258,axiom,
    ! [F: $i,E: $i] :
      ( ( ifeq @ ( q0 @ F @ E ) @ true @ ( p1 @ E @ E @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_067) ).

thf(259,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( n0 @ H @ G ) @ true @ ( p1 @ G @ G @ G ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).

thf(260,axiom,
    ! [I: $i,J: $i] :
      ( ( ifeq @ ( p0 @ I @ J ) @ true @ ( ifeq @ ( l1 @ J @ J ) @ true @ ( ifeq @ ( n0 @ J @ J ) @ true @ ( p1 @ I @ I @ I ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_065) ).

thf(261,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ifeq @ ( l0 @ A ) @ true @ ( ifeq @ ( m0 @ B @ C @ b ) @ true @ ( p1 @ A @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_064) ).

thf(262,axiom,
    ! [E: $i,D: $i] :
      ( ( ifeq @ ( k0 @ E ) @ true @ ( ifeq @ ( n0 @ d @ D ) @ true @ ( p1 @ D @ D @ E ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_063) ).

thf(263,axiom,
    ! [E: $i,D: $i,F: $i] :
      ( ( ifeq @ ( n1 @ E @ D @ E ) @ true @ ( ifeq @ ( m0 @ E @ E @ F ) @ true @ ( n1 @ D @ D @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_062) ).

thf(264,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( s0 @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_061) ).

thf(265,axiom,
    ( ( ifeq @ ( m1 @ d @ e @ e ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( q0 @ b @ e ) @ true @ ( n1 @ d @ d @ b ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_060) ).

thf(266,axiom,
    ! [J: $i,A: $i,I: $i,H: $i] :
      ( ( ifeq @ ( m0 @ J @ A @ A ) @ true @ ( ifeq @ ( m0 @ I @ J @ H ) @ true @ ( n1 @ H @ H @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_059) ).

thf(267,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( l1 @ C @ B ) @ true @ ( ifeq @ ( n0 @ C @ B ) @ true @ ( n1 @ B @ B @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_058) ).

thf(268,axiom,
    ! [D: $i] :
      ( ( ifeq @ ( r0 @ D ) @ true @ ( n1 @ D @ D @ D ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_057) ).

thf(269,axiom,
    ( ( ifeq @ ( l0 @ a ) @ true @ ( ifeq @ ( r0 @ a ) @ true @ ( n1 @ a @ a @ a ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_056) ).

thf(270,axiom,
    ( ( ifeq @ ( n1 @ e @ e @ e ) @ true @ ( ifeq @ ( p0 @ d @ d ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( n1 @ d @ e @ e ) @ true ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_055) ).

thf(271,axiom,
    ! [E: $i,F: $i,G: $i] :
      ( ( ifeq @ ( n1 @ E @ F @ E ) @ true @ ( ifeq @ ( l0 @ G ) @ true @ ( ifeq @ ( l1 @ G @ E ) @ true @ ( n1 @ E @ F @ F ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).

thf(272,axiom,
    ! [H: $i] :
      ( ( ifeq @ ( p0 @ a @ b ) @ true @ ( ifeq @ ( p0 @ H @ d ) @ true @ ( n1 @ a @ H @ b ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_053) ).

thf(273,axiom,
    ! [A: $i,J: $i,I: $i] :
      ( ( ifeq @ ( p0 @ A @ J ) @ true @ ( ifeq @ ( m0 @ J @ J @ J ) @ true @ ( ifeq @ ( s0 @ I ) @ true @ ( ifeq @ ( k1 @ I ) @ true @ ( n1 @ I @ I @ I ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_052) ).

thf(274,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( n1 @ C @ B @ C ) @ true @ ( ifeq @ ( m1 @ c @ B @ C ) @ true @ ( ifeq @ ( m0 @ b @ C @ c ) @ true @ ( n1 @ B @ B @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_051) ).

thf(275,axiom,
    ! [D: $i,E: $i] :
      ( ( ifeq @ ( l0 @ D ) @ true @ ( ifeq @ ( p0 @ b @ E ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).

thf(276,axiom,
    ( ( ifeq @ ( l0 @ c ) @ true @ ( n1 @ c @ c @ c ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_049) ).

thf(277,axiom,
    ! [J: $i,I: $i] :
      ( ( ifeq @ ( p0 @ J @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( ifeq @ ( l1 @ J @ d ) @ true @ ( n1 @ I @ d @ J ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_047) ).

thf(278,axiom,
    ! [B: $i,C: $i,A: $i] :
      ( ( ifeq @ ( m1 @ B @ C @ A ) @ true @ ( ifeq @ ( k0 @ B ) @ true @ ( n1 @ A @ A @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_046) ).

thf(279,axiom,
    ( ( ifeq @ ( q0 @ d @ d ) @ true @ ( n1 @ d @ d @ d ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_045) ).

thf(280,axiom,
    ! [E: $i,F: $i,D: $i] :
      ( ( ifeq @ ( p0 @ E @ F ) @ true @ ( ifeq @ ( p0 @ D @ D ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_044) ).

thf(281,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( p0 @ G @ G ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_043) ).

thf(282,axiom,
    ! [H: $i,I: $i,J: $i,A: $i] :
      ( ( ifeq @ ( k0 @ H ) @ true @ ( ifeq @ ( m0 @ I @ J @ I ) @ true @ ( ifeq @ ( q0 @ A @ J ) @ true @ ( n1 @ H @ H @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_042) ).

thf(283,axiom,
    ! [B: $i] :
      ( ( ifeq @ ( m1 @ b @ B @ e ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ e @ e @ B ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_041) ).

thf(284,axiom,
    ! [C: $i,D: $i] :
      ( ( ifeq @ ( m0 @ C @ D @ e ) @ true @ ( ifeq @ ( k1 @ C ) @ true @ ( n1 @ C @ e @ e ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_040) ).

thf(285,axiom,
    ! [F: $i,E: $i] :
      ( ( ifeq @ ( m0 @ F @ E @ c ) @ true @ ( n1 @ E @ c @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_039) ).

thf(286,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( q0 @ a @ G ) @ true @ ( ifeq @ ( n0 @ G @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_038) ).

thf(287,axiom,
    ! [I: $i,J: $i,H: $i] :
      ( ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( p0 @ J @ H ) @ true @ ( ifeq @ ( r0 @ H ) @ true @ ( n1 @ H @ I @ H ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_037) ).

thf(288,axiom,
    ! [B: $i,A: $i] :
      ( ( ifeq @ ( m0 @ b @ B @ A ) @ true @ ( n1 @ A @ A @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_036) ).

thf(289,axiom,
    ! [J: $i,I: $i] :
      ( ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( m1 @ I @ J @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_035) ).

thf(290,axiom,
    ! [A: $i,B: $i] :
      ( ( ifeq @ ( q0 @ A @ A ) @ true @ ( ifeq @ ( k1 @ a ) @ true @ ( ifeq @ ( k1 @ B ) @ true @ ( m1 @ A @ B @ B ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_034) ).

thf(291,axiom,
    ! [E: $i,D: $i,C: $i] :
      ( ( ifeq @ ( m1 @ E @ D @ C ) @ true @ ( ifeq @ ( q0 @ D @ D ) @ true @ ( m1 @ C @ C @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_033) ).

thf(292,axiom,
    ! [F: $i] :
      ( ( ifeq @ ( s0 @ F ) @ true @ ( m1 @ F @ F @ F ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_032) ).

thf(293,axiom,
    ! [G: $i] :
      ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( ifeq @ ( m0 @ a @ e @ c ) @ true @ ( m1 @ c @ a @ c ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_031) ).

thf(294,axiom,
    ( ( ifeq @ ( r0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_030) ).

thf(295,axiom,
    ! [H: $i,I: $i] :
      ( ( ifeq @ ( p0 @ H @ I ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( m1 @ H @ I @ H ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_029) ).

thf(296,axiom,
    ! [J: $i] :
      ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( m0 @ J @ J @ J ) @ true @ ( m1 @ J @ J @ J ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_028) ).

thf(297,axiom,
    ( ( ifeq @ ( q0 @ c @ d ) @ true @ ( ifeq @ ( l1 @ a @ b ) @ true @ ( m1 @ b @ b @ b ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_027) ).

thf(298,axiom,
    ! [B: $i,A: $i] :
      ( ( ifeq @ ( l0 @ B ) @ true @ ( ifeq @ ( l0 @ A ) @ true @ ( ifeq @ ( p0 @ B @ d ) @ true @ ( m1 @ A @ A @ A ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_026) ).

thf(299,axiom,
    ! [D: $i,E: $i,C: $i] :
      ( ( ifeq @ ( m0 @ D @ E @ C ) @ true @ ( m1 @ C @ C @ C ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_025) ).

thf(300,axiom,
    ! [G: $i,H: $i,F: $i] :
      ( ( ifeq @ ( m1 @ G @ c @ G ) @ true @ ( ifeq @ ( m0 @ a @ H @ a ) @ true @ ( ifeq @ ( q0 @ F @ G ) @ true @ ( m1 @ F @ a @ G ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_024) ).

thf(301,axiom,
    ( ( ifeq @ ( l0 @ a ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ a @ a @ a ) @ true ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_023) ).

thf(302,axiom,
    ( ( ifeq @ ( s0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_022) ).

thf(303,axiom,
    ! [J: $i,I: $i] :
      ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ I ) @ true @ ( m1 @ I @ J @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).

thf(304,axiom,
    ( ( ifeq @ ( l0 @ c ) @ true @ ( m1 @ c @ c @ c ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_020) ).

thf(305,axiom,
    ! [A: $i,B: $i] :
      ( ( ifeq @ ( p0 @ A @ B ) @ true @ ( ifeq @ ( r0 @ c ) @ true @ ( ifeq @ ( q0 @ B @ d ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ A @ B @ c ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_019) ).

thf(306,axiom,
    ! [D: $i,E: $i,C: $i] :
      ( ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( q0 @ D @ C ) @ true @ ( m1 @ C @ C @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_018) ).

thf(307,axiom,
    ! [G: $i,F: $i] :
      ( ( ifeq @ ( q0 @ G @ d ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( m1 @ F @ F @ F ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_017) ).

thf(308,axiom,
    ! [J: $i,A: $i,I: $i,H: $i] :
      ( ( ifeq @ ( m1 @ J @ A @ I ) @ true @ ( ifeq @ ( m1 @ J @ I @ H ) @ true @ ( m1 @ H @ I @ I ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_016) ).

thf(309,axiom,
    ! [D: $i,C: $i,B: $i] :
      ( ( ifeq @ ( l0 @ D ) @ true @ ( ifeq @ ( m0 @ C @ C @ B ) @ true @ ( m1 @ B @ C @ C ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_015) ).

thf(310,axiom,
    ! [F: $i,G: $i,E: $i] :
      ( ( ifeq @ ( m0 @ F @ G @ E ) @ true @ ( m1 @ E @ E @ E ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_014) ).

thf(311,axiom,
    ! [I: $i,H: $i] :
      ( ( ifeq @ ( q0 @ I @ H ) @ true @ ( m1 @ H @ H @ H ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_013) ).

thf(312,axiom,
    ( ( ifeq @ ( r0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_012) ).

thf(313,axiom,
    ! [J: $i,A: $i] :
      ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( n0 @ A @ A ) @ true @ ( m1 @ J @ J @ A ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_011) ).

thf(314,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( ifeq @ ( l1 @ c @ c ) @ true @ ( ifeq @ ( n0 @ C @ C ) @ true @ ( m1 @ B @ B @ c ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_010) ).

thf(315,axiom,
    ! [E: $i,F: $i,D: $i] :
      ( ( ifeq @ ( r0 @ E ) @ true @ ( ifeq @ ( q0 @ F @ D ) @ true @ ( ifeq @ ( s0 @ E ) @ true @ ( m1 @ D @ D @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_009) ).

thf(316,axiom,
    ( ( ifeq @ ( l0 @ b ) @ true @ ( m1 @ b @ b @ b ) @ true )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_008) ).

thf(317,axiom,
    ! [I: $i,H: $i,G: $i] :
      ( ( ifeq @ ( p0 @ I @ H ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( m1 @ G @ H @ G ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_007) ).

thf(318,axiom,
    ! [A: $i,J: $i] :
      ( ( ifeq @ ( m0 @ A @ A @ J ) @ true @ ( m1 @ J @ J @ J ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).

thf(319,axiom,
    ! [C: $i,B: $i] :
      ( ( ifeq @ ( m0 @ C @ C @ B ) @ true @ ( m1 @ B @ C @ B ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_005) ).

thf(320,axiom,
    ! [B: $i,A: $i] :
      ( ( ifeq @ ( l0 @ B ) @ true @ ( ifeq @ ( l1 @ B @ B ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( l1 @ A @ A ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_004) ).

thf(321,axiom,
    ! [E: $i,C: $i,F: $i,D: $i] :
      ( ( ifeq @ ( p0 @ E @ C ) @ true @ ( ifeq @ ( r0 @ F ) @ true @ ( ifeq @ ( m0 @ D @ C @ E ) @ true @ ( l1 @ C @ D ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).

thf(322,axiom,
    ! [H: $i,G: $i] :
      ( ( ifeq @ ( n0 @ H @ G ) @ true @ ( l1 @ G @ G ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

thf(323,axiom,
    ! [J: $i,I: $i] :
      ( ( ifeq @ ( n0 @ J @ I ) @ true @ ( k1 @ I ) @ true )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

thf(324,axiom,
    ( ( m0 @ b @ a @ a )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).

thf(325,axiom,
    ( ( n0 @ b @ a )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

thf(326,axiom,
    ( ( q0 @ a @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

thf(327,axiom,
    ( ( m0 @ d @ e @ c )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).

thf(328,axiom,
    ( ( n0 @ c @ d )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

thf(329,axiom,
    ( ( q0 @ d @ c )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

thf(330,axiom,
    ( ( k0 @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

thf(331,axiom,
    ( ( m0 @ b @ b @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

thf(332,axiom,
    ( ( n0 @ e @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

thf(333,axiom,
    ( ( q0 @ d @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

thf(334,axiom,
    ( ( k0 @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

thf(335,axiom,
    ( ( m0 @ e @ b @ c )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

thf(336,axiom,
    ( ( n0 @ d @ c )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

thf(337,axiom,
    ( ( q0 @ d @ d )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

thf(338,axiom,
    ( ( l0 @ c )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

thf(339,axiom,
    ( ( m0 @ a @ e @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

thf(340,axiom,
    ( ( p0 @ b @ c )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

thf(341,axiom,
    ( ( q0 @ b @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

thf(342,axiom,
    ( ( l0 @ a )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

thf(343,axiom,
    ! [X: $i,Y: $i] :
      ( ( m0 @ X @ d @ Y )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

thf(344,axiom,
    ( ( p0 @ c @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

thf(345,axiom,
    ! [X: $i] :
      ( ( q0 @ X @ d )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

thf(346,axiom,
    ( ( m0 @ c @ b @ a )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

thf(347,axiom,
    ( ( n0 @ a @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

thf(348,axiom,
    ! [X: $i] :
      ( ( p0 @ b @ X )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

thf(349,axiom,
    ( ( r0 @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

thf(350,axiom,
    ! [X: $i] :
      ( ( m0 @ a @ X @ a )
      = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

thf(351,axiom,
    ( ( n0 @ e @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

thf(352,axiom,
    ( ( p0 @ b @ d )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

thf(353,axiom,
    ( ( r0 @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

thf(354,axiom,
    ( ( m0 @ e @ d @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

thf(355,axiom,
    ( ( n0 @ d @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

thf(356,axiom,
    ( ( q0 @ b @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

thf(357,axiom,
    ( ( s0 @ b )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(358,axiom,
    ( ( m0 @ e @ d @ a )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

thf(359,axiom,
    ( ( n0 @ d @ e )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

thf(360,axiom,
    ( ( q0 @ e @ d )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(361,axiom,
    ( ( s0 @ d )
    = true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

thf(362,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ifeq @ A @ A @ B @ C )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

thf(363,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(364,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[363]) ).

thf(365,negated_conjecture,
    ( ( k5 @ b )
   != true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

thf(366,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[364]) ).

thf(367,plain,
    ( ( ! [G: $i,E: $i,F: $i] :
          ( ( ifeq @ ( s5 @ G ) @ true @ ( ifeq @ ( l5 @ G ) @ true @ ( ifeq @ ( k4 @ E ) @ true @ ( ifeq @ ( s3 @ E @ F ) @ true @ ( s5 @ E ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(368,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( r4 @ I ) @ true @ ( ifeq @ ( l4 @ H ) @ true @ ( s5 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(369,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( k4 @ B ) @ true @ ( r5 @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(370,plain,
    ( ( ! [C: $i,D: $i] :
          ( ( ifeq @ ( s4 @ C ) @ true @ ( ifeq @ ( n3 @ D ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( r5 @ C @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(371,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( m4 @ G @ G ) @ true @ ( q5 @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(372,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( q4 @ H @ H ) @ true @ ( q5 @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(373,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( l4 @ I ) @ true @ ( q5 @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(374,plain,
    ( ( ( ifeq @ ( r4 @ a ) @ true @ ( q5 @ a @ a ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(375,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( s4 @ J ) @ true @ ( ifeq @ ( m2 @ A ) @ true @ ( q5 @ J @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(376,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( k5 @ b ) @ true @ ( ifeq @ ( p4 @ G @ G @ H ) @ true @ ( p5 @ b @ b @ b ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(377,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( q4 @ J @ A ) @ true @ ( ifeq @ ( s1 @ I ) @ true @ ( p5 @ I @ J @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(378,plain,
    ( ( ! [B: $i,D: $i,C: $i] :
          ( ( ifeq @ ( p5 @ B @ D @ B ) @ true @ ( ifeq @ ( m4 @ D @ C ) @ true @ ( ifeq @ ( l2 @ B @ D ) @ true @ ( p5 @ B @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(379,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( s4 @ F ) @ true @ ( ifeq @ ( l2 @ E @ E ) @ true @ ( p5 @ E @ E @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(380,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( n4 @ G @ d ) @ true @ ( ifeq @ ( k3 @ d @ G @ a ) @ true @ ( n5 @ d @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(381,plain,
    ( ( ! [J: $i,I: $i,H: $i] :
          ( ( ifeq @ ( p4 @ b @ b @ J ) @ true @ ( ifeq @ ( p4 @ I @ H @ H ) @ true @ ( ifeq @ ( s1 @ H ) @ true @ ( n5 @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(382,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( k4 @ A ) @ true @ ( ifeq @ ( s1 @ A ) @ true @ ( n5 @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(383,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( r4 @ B ) @ true @ ( n5 @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(384,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( q4 @ D @ C ) @ true @ ( n5 @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(385,plain,
    ( ( ( ifeq @ ( n4 @ b @ e ) @ true @ ( ifeq @ ( r3 @ d @ b @ c ) @ true @ ( n5 @ b @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(386,plain,
    ( ( ( ifeq @ ( p4 @ c @ d @ c ) @ true @ ( n5 @ d @ d ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(387,plain,
    ( ( ! [G: $i,E: $i,F: $i] :
          ( ( ifeq @ ( k5 @ d ) @ true @ ( ifeq @ ( m4 @ G @ G ) @ true @ ( ifeq @ ( p0 @ E @ F ) @ true @ ( n5 @ E @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(388,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( n4 @ I @ H ) @ true @ ( n5 @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(389,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( n5 @ A @ J ) @ true @ ( ifeq @ ( m0 @ A @ J @ A ) @ true @ ( n5 @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(390,plain,
    ( ( ! [F: $i,C: $i,D: $i,E: $i,B: $i] :
          ( ( ifeq @ ( n5 @ F @ C ) @ true @ ( ifeq @ ( q4 @ D @ E ) @ true @ ( ifeq @ ( p4 @ F @ F @ C ) @ true @ ( ifeq @ ( n4 @ B @ E ) @ true @ ( n5 @ B @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(391,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( s4 @ A ) @ true @ ( ifeq @ ( r0 @ J ) @ true @ ( m5 @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(392,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( s4 @ B ) @ true @ ( ifeq @ ( m4 @ e @ e ) @ true @ ( m5 @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(393,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( k4 @ C ) @ true @ ( m5 @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(394,plain,
    ( ( ! [D: $i,F: $i,E: $i] :
          ( ( ifeq @ ( p4 @ D @ F @ E ) @ true @ ( ifeq @ ( r0 @ D ) @ true @ ( m5 @ D @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(395,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( q4 @ I @ I ) @ true @ ( ifeq @ ( k1 @ H ) @ true @ ( l5 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(396,plain,
    ( ( ( ifeq @ ( s4 @ e ) @ true @ ( ifeq @ ( n1 @ b @ b @ b ) @ true @ ( k5 @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(397,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( s4 @ F ) @ true @ ( ifeq @ ( r3 @ G @ E @ E ) @ true @ ( k5 @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(398,plain,
    ( ( ! [B: $i,C: $i,D: $i,A: $i] :
          ( ( ifeq @ ( p3 @ B @ C @ D ) @ true @ ( ifeq @ ( l1 @ A @ C ) @ true @ ( s4 @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(399,plain,
    ( ( ! [H: $i,I: $i,G: $i,J: $i] :
          ( ( ifeq @ ( q3 @ H @ I ) @ true @ ( ifeq @ ( n3 @ G ) @ true @ ( ifeq @ ( p0 @ J @ G ) @ true @ ( r4 @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(400,plain,
    ( ( ( ifeq @ ( k3 @ c @ e @ b ) @ true @ ( ifeq @ ( l1 @ b @ c ) @ true @ ( q4 @ b @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(401,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( q4 @ J @ A ) @ true @ ( ifeq @ ( l4 @ J ) @ true @ ( ifeq @ ( r1 @ I ) @ true @ ( q4 @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(402,plain,
    ( ( ! [E: $i,F: $i,D: $i,B: $i,C: $i] :
          ( ( ifeq @ ( m3 @ E @ F @ E ) @ true @ ( ifeq @ ( k3 @ D @ D @ B ) @ true @ ( ifeq @ ( q2 @ E @ C @ B ) @ true @ ( q4 @ B @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(403,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( n3 @ a ) @ true @ ( ifeq @ ( m3 @ B @ c @ a ) @ true @ ( p4 @ c @ c @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(404,plain,
    ( ( ! [E: $i,C: $i,D: $i] :
          ( ( ifeq @ ( n4 @ E @ C ) @ true @ ( ifeq @ ( q3 @ D @ E ) @ true @ ( ifeq @ ( l3 @ D @ D ) @ true @ ( p4 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(405,plain,
    ( ( ! [F: $i,H: $i,G: $i] :
          ( ( ifeq @ ( n4 @ F @ H ) @ true @ ( ifeq @ ( k3 @ G @ H @ H ) @ true @ ( ifeq @ ( p1 @ H @ G @ F ) @ true @ ( p4 @ F @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(406,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( p3 @ J @ J @ I ) @ true @ ( p4 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(407,plain,
    ( ( ! [A: $i,C: $i,B: $i] :
          ( ( ifeq @ ( p4 @ A @ C @ A ) @ true @ ( ifeq @ ( m3 @ B @ C @ A ) @ true @ ( p4 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(408,plain,
    ( ( ! [F: $i,G: $i,D: $i,E: $i] :
          ( ( ifeq @ ( p4 @ F @ G @ F ) @ true @ ( ifeq @ ( l4 @ D ) @ true @ ( ifeq @ ( n0 @ D @ E ) @ true @ ( p4 @ D @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(409,plain,
    ( ( ! [J: $i,A: $i,I: $i,H: $i] :
          ( ( ifeq @ ( p4 @ J @ J @ A ) @ true @ ( ifeq @ ( r3 @ I @ I @ H ) @ true @ ( p4 @ H @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(410,plain,
    ( ( ! [B: $i,C: $i] :
          ( ( ifeq @ ( k3 @ B @ B @ C ) @ true @ ( p4 @ B @ C @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(411,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( q3 @ E @ F ) @ true @ ( ifeq @ ( n3 @ D ) @ true @ ( p4 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(412,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( r3 @ H @ G @ H ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( p4 @ G @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(413,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( k4 @ I ) @ true @ ( ifeq @ ( m3 @ H @ H @ H ) @ true @ ( n4 @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(414,plain,
    ( ( ( ifeq @ ( p3 @ b @ e @ a ) @ true @ ( ifeq @ ( l3 @ b @ a ) @ true @ ( n4 @ e @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(415,plain,
    ( ( ( ifeq @ ( k3 @ c @ c @ e ) @ true @ ( ifeq @ ( q1 @ d @ d @ d ) @ true @ ( n4 @ d @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(416,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( n4 @ J @ J ) @ true @ ( ifeq @ ( p3 @ J @ A @ A ) @ true @ ( n4 @ J @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(417,plain,
    ( ( ! [E: $i,G: $i,F: $i] :
          ( ( ifeq @ ( s3 @ a @ E ) @ true @ ( ifeq @ ( l2 @ G @ F ) @ true @ ( m4 @ E @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(418,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( l4 @ I ) @ true @ ( ifeq @ ( m0 @ I @ H @ H ) @ true @ ( l4 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(419,plain,
    ( ( ! [A: $i,B: $i,J: $i] :
          ( ( ifeq @ ( p3 @ A @ B @ J ) @ true @ ( l4 @ J ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(420,plain,
    ( ( ! [C: $i,D: $i] :
          ( ( ifeq @ ( r3 @ C @ e @ D ) @ true @ ( ifeq @ ( q3 @ C @ C ) @ true @ ( ifeq @ ( q1 @ a @ a @ D ) @ true @ ( k4 @ e ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(421,plain,
    ( ( ( ifeq @ ( q3 @ e @ b ) @ true @ ( ifeq @ ( n3 @ e ) @ true @ ( ifeq @ ( n0 @ c @ d ) @ true @ ( k4 @ c ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(422,plain,
    ( ( ! [I: $i,A: $i,B: $i,J: $i] :
          ( ( ifeq @ ( s2 @ I ) @ true @ ( ifeq @ ( q2 @ A @ I @ A ) @ true @ ( ifeq @ ( m0 @ A @ B @ J ) @ true @ ( s3 @ I @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(423,plain,
    ( ( ! [B: $i,J: $i,A: $i] :
          ( ( ifeq @ ( r3 @ B @ J @ J ) @ true @ ( ifeq @ ( r2 @ B ) @ true @ ( ifeq @ ( k2 @ A @ B ) @ true @ ( r3 @ J @ A @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(424,plain,
    ( ( ! [D: $i,C: $i,E: $i] :
          ( ( ifeq @ ( r3 @ D @ D @ D ) @ true @ ( ifeq @ ( p3 @ D @ C @ E ) @ true @ ( r3 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(425,plain,
    ( ( ! [F: $i] :
          ( ( ifeq @ ( p2 @ b @ F @ b ) @ true @ ( ifeq @ ( l2 @ F @ F ) @ true @ ( ifeq @ ( r0 @ F ) @ true @ ( r3 @ F @ b @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(426,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( m3 @ a @ G @ G ) @ true @ ( ifeq @ ( q2 @ G @ e @ G ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( ifeq @ ( k2 @ a @ a ) @ true @ ( r3 @ a @ a @ e ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(427,plain,
    ( ( ! [I: $i,A: $i,J: $i,H: $i] :
          ( ( ifeq @ ( r3 @ I @ A @ A ) @ true @ ( ifeq @ ( m3 @ J @ b @ H ) @ true @ ( ifeq @ ( m2 @ I ) @ true @ ( r3 @ H @ H @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(428,plain,
    ( ( ! [B: $i,D: $i,C: $i] :
          ( ( ifeq @ ( p2 @ B @ D @ C ) @ true @ ( r3 @ B @ C @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(429,plain,
    ( ( ! [E: $i] :
          ( ( ifeq @ ( r2 @ E ) @ true @ ( r3 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(430,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( l2 @ G @ F ) @ true @ ( r3 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(431,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( s2 @ H ) @ true @ ( r3 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(432,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( r3 @ I @ I @ J ) @ true @ ( ifeq @ ( m0 @ d @ J @ I ) @ true @ ( r3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(433,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ ( r3 @ A @ B @ A ) @ true @ ( ifeq @ ( l2 @ C @ B ) @ true @ ( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( r3 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(434,plain,
    ( ( ! [D: $i,F: $i,E: $i] :
          ( ( ifeq @ ( r2 @ D ) @ true @ ( ifeq @ ( n1 @ F @ F @ F ) @ true @ ( ifeq @ ( l1 @ E @ F ) @ true @ ( r3 @ D @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(435,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( s2 @ H ) @ true @ ( ifeq @ ( l2 @ c @ G ) @ true @ ( r3 @ G @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(436,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( q3 @ H @ G ) @ true @ ( ifeq @ ( r2 @ d ) @ true @ ( ifeq @ ( m0 @ H @ d @ H ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( q3 @ G @ G ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(437,plain,
    ( ( ! [I: $i,A: $i,J: $i] :
          ( ( ifeq @ ( r2 @ I ) @ true @ ( ifeq @ ( l2 @ A @ A ) @ true @ ( ifeq @ ( s1 @ J ) @ true @ ( q3 @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(438,plain,
    ( ( ! [C: $i,B: $i,D: $i] :
          ( ( ifeq @ ( q3 @ C @ B ) @ true @ ( ifeq @ ( s2 @ B ) @ true @ ( ifeq @ ( n1 @ D @ B @ C ) @ true @ ( q3 @ B @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(439,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( q3 @ F @ E ) @ true @ ( ifeq @ ( p2 @ F @ E @ E ) @ true @ ( q3 @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(440,plain,
    ( ( ! [I: $i,G: $i,H: $i] :
          ( ( ifeq @ ( q2 @ I @ G @ H ) @ true @ ( ifeq @ ( n0 @ I @ G ) @ true @ ( q3 @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(441,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( m3 @ e @ G @ e ) @ true @ ( ifeq @ ( q2 @ G @ G @ b ) @ true @ ( p3 @ e @ b @ e ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(442,plain,
    ( ( ( ifeq @ ( k2 @ c @ b ) @ true @ ( p3 @ b @ c @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(443,plain,
    ( ( ! [J: $i,I: $i,H: $i] :
          ( ( ifeq @ ( k2 @ J @ J ) @ true @ ( ifeq @ ( q0 @ I @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(444,plain,
    ( ( ! [B: $i,C: $i,D: $i,A: $i] :
          ( ( ifeq @ ( m3 @ B @ C @ D ) @ true @ ( ifeq @ ( p2 @ A @ B @ D ) @ true @ ( p3 @ A @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(445,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( q2 @ F @ G @ E ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( p3 @ E @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(446,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n2 @ H ) @ true @ ( ifeq @ ( k1 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(447,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( n3 @ I ) @ true @ ( ifeq @ ( p2 @ J @ I @ I ) @ true @ ( p3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(448,plain,
    ( ( ! [B: $i,C: $i,A: $i] :
          ( ( ifeq @ ( q2 @ B @ C @ A ) @ true @ ( ifeq @ ( n2 @ A ) @ true @ ( ifeq @ ( s1 @ B ) @ true @ ( p3 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(449,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( l2 @ D @ D ) @ true @ ( p3 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(450,plain,
    ( ( ! [G: $i,F: $i,E: $i] :
          ( ( ifeq @ ( p3 @ G @ G @ F ) @ true @ ( ifeq @ ( l3 @ F @ E ) @ true @ ( ifeq @ ( l1 @ F @ F ) @ true @ ( p3 @ E @ E @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(451,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n2 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(452,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( n3 @ I ) @ true @ ( ifeq @ ( l3 @ b @ e ) @ true @ ( ifeq @ ( q2 @ I @ d @ I ) @ true @ ( ifeq @ ( p2 @ d @ b @ c ) @ true @ ( p3 @ I @ d @ e ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(453,plain,
    ( ( ! [A: $i,B: $i,J: $i] :
          ( ( ifeq @ ( k3 @ A @ B @ J ) @ true @ ( ifeq @ ( r2 @ A ) @ true @ ( p3 @ J @ A @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(454,plain,
    ( ( ! [F: $i,C: $i,D: $i,E: $i] :
          ( ( ifeq @ ( q2 @ F @ d @ C ) @ true @ ( ifeq @ ( k2 @ D @ E ) @ true @ ( p3 @ C @ D @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(455,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p2 @ E @ F @ D ) @ true @ ( n3 @ D ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(456,plain,
    ( ( ( ifeq @ ( l2 @ a @ b ) @ true @ ( m3 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(457,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( p2 @ I @ I @ I ) @ true @ ( m3 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(458,plain,
    ( ( ! [J: $i] :
          ( ( ifeq @ ( s2 @ c ) @ true @ ( ifeq @ ( q2 @ J @ c @ c ) @ true @ ( m3 @ J @ c @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(459,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( n2 @ A ) @ true @ ( m3 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(460,plain,
    ( ( ! [B: $i,C: $i] :
          ( ( ifeq @ ( k3 @ B @ C @ B ) @ true @ ( ifeq @ ( r2 @ C ) @ true @ ( m3 @ B @ B @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(461,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( p2 @ D @ e @ e ) @ true @ ( ifeq @ ( n2 @ e ) @ true @ ( m3 @ D @ e @ e ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(462,plain,
    ( ( ! [E: $i,F: $i] :
          ( ( ifeq @ ( n2 @ E ) @ true @ ( ifeq @ ( m2 @ F ) @ true @ ( m3 @ E @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(463,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( n2 @ G ) @ true @ ( ifeq @ ( l2 @ G @ G ) @ true @ ( m3 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(464,plain,
    ( ( ! [H: $i,I: $i] :
          ( ( ifeq @ ( r2 @ H ) @ true @ ( ifeq @ ( k2 @ c @ I ) @ true @ ( m3 @ H @ I @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(465,plain,
    ( ( ( ifeq @ ( q2 @ b @ c @ d ) @ true @ ( ifeq @ ( m2 @ d ) @ true @ ( ifeq @ ( l1 @ d @ b ) @ true @ ( m3 @ c @ b @ d ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(466,plain,
    ( ( ( ifeq @ ( q2 @ a @ b @ a ) @ true @ ( m3 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(467,plain,
    ( ( ! [B: $i,J: $i,A: $i] :
          ( ( ifeq @ ( m3 @ B @ J @ B ) @ true @ ( ifeq @ ( n2 @ J ) @ true @ ( ifeq @ ( m2 @ A ) @ true @ ( m3 @ J @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(468,plain,
    ( ( ! [E: $i,C: $i,D: $i,F: $i] :
          ( ( ifeq @ ( s2 @ E ) @ true @ ( ifeq @ ( r2 @ C ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( m3 @ C @ C @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(469,plain,
    ( ( ! [G: $i,I: $i,H: $i] :
          ( ( ifeq @ ( m3 @ G @ I @ G ) @ true @ ( ifeq @ ( l2 @ a @ a ) @ true @ ( ifeq @ ( k2 @ H @ I ) @ true @ ( ifeq @ ( n0 @ I @ a ) @ true @ ( m3 @ G @ G @ G ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(470,plain,
    ( ( ! [B: $i,C: $i,J: $i,A: $i] :
          ( ( ifeq @ ( s2 @ B ) @ true @ ( ifeq @ ( l2 @ C @ J ) @ true @ ( ifeq @ ( m0 @ B @ B @ A ) @ true @ ( ifeq @ ( m0 @ J @ C @ C ) @ true @ ( m3 @ J @ A @ J ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(471,plain,
    ( ( ( ifeq @ ( k3 @ a @ c @ a ) @ true @ ( ifeq @ ( s2 @ d ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( l3 @ d @ c ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(472,plain,
    ( ( ( ifeq @ ( k2 @ b @ c ) @ true @ ( l3 @ c @ c ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[106]) ).

thf(473,plain,
    ( ( ! [E: $i,D: $i,F: $i] :
          ( ( ifeq @ ( k3 @ E @ D @ D ) @ true @ ( ifeq @ ( l2 @ F @ F ) @ true @ ( l3 @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(474,plain,
    ( ( ( ifeq @ ( k2 @ a @ d ) @ true @ ( l3 @ d @ d ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(475,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( s2 @ H ) @ true @ ( ifeq @ ( l1 @ G @ G ) @ true @ ( l3 @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(476,plain,
    ( ( ! [A: $i,J: $i,I: $i] :
          ( ( ifeq @ ( l3 @ A @ A ) @ true @ ( ifeq @ ( n2 @ J ) @ true @ ( ifeq @ ( l1 @ A @ I ) @ true @ ( l3 @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[110]) ).

thf(477,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( r2 @ B ) @ true @ ( l3 @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[111]) ).

thf(478,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( n2 @ C ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( l3 @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[112]) ).

thf(479,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p2 @ E @ F @ D ) @ true @ ( ifeq @ ( p1 @ D @ D @ E ) @ true @ ( l3 @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[113]) ).

thf(480,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( p2 @ G @ H @ G ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( l3 @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(481,plain,
    ( ( ( ifeq @ ( r2 @ c ) @ true @ ( k3 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[115]) ).

thf(482,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( p2 @ J @ A @ A ) @ true @ ( ifeq @ ( r1 @ I ) @ true @ ( k3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(483,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( m2 @ B ) @ true @ ( k3 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117]) ).

thf(484,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( r2 @ e ) @ true @ ( ifeq @ ( l0 @ C ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( k3 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[118]) ).

thf(485,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( n2 @ D ) @ true @ ( k3 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119]) ).

thf(486,plain,
    ( ( ! [G: $i,H: $i,E: $i,F: $i] :
          ( ( ifeq @ ( k3 @ G @ H @ G ) @ true @ ( ifeq @ ( s2 @ E ) @ true @ ( ifeq @ ( m2 @ F ) @ true @ ( ifeq @ ( l1 @ G @ H ) @ true @ ( k3 @ E @ E @ E ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[120]) ).

thf(487,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( l1 @ b @ I ) @ true @ ( k3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(488,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( p2 @ D @ C @ C ) @ true @ ( k3 @ C @ D @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122]) ).

thf(489,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( p2 @ F @ E @ E ) @ true @ ( k3 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(490,plain,
    ( ( ( ifeq @ ( r2 @ a ) @ true @ ( k3 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(491,plain,
    ( ( ( ifeq @ ( r2 @ a ) @ true @ ( ifeq @ ( l2 @ e @ b ) @ true @ ( ifeq @ ( p1 @ a @ d @ b ) @ true @ ( k3 @ d @ d @ d ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(492,plain,
    ( ( ! [H: $i,A: $i,J: $i,G: $i,I: $i] :
          ( ( ifeq @ ( k3 @ H @ A @ J ) @ true @ ( ifeq @ ( k2 @ G @ J ) @ true @ ( ifeq @ ( q0 @ I @ H ) @ true @ ( k3 @ G @ G @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(493,plain,
    ( ( ! [E: $i,D: $i,C: $i,B: $i] :
          ( ( ifeq @ ( m2 @ E ) @ true @ ( ifeq @ ( m2 @ D ) @ true @ ( ifeq @ ( p1 @ C @ D @ B ) @ true @ ( k3 @ B @ B @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(494,plain,
    ( ( ! [F: $i,G: $i,H: $i] :
          ( ( ifeq @ ( k3 @ F @ G @ G ) @ true @ ( ifeq @ ( p2 @ G @ H @ e ) @ true @ ( ifeq @ ( s1 @ G ) @ true @ ( k3 @ F @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(495,plain,
    ( ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( k0 @ a ) @ true @ ( k3 @ c @ c @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(496,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( l2 @ B @ b ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( k3 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(497,plain,
    ( ( ! [D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( p2 @ D @ E @ D ) @ true @ ( ifeq @ ( m1 @ C @ C @ E ) @ true @ ( k3 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(498,plain,
    ( ( ( ifeq @ ( s2 @ e ) @ true @ ( ifeq @ ( k2 @ c @ e ) @ true @ ( k3 @ c @ c @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(499,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( k2 @ G @ F ) @ true @ ( k3 @ F @ F @ G ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(500,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( s2 @ I ) @ true @ ( ifeq @ ( q2 @ d @ I @ d ) @ true @ ( ifeq @ ( s1 @ H ) @ true @ ( k3 @ H @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134]) ).

thf(501,plain,
    ( ( ! [B: $i,A: $i,C: $i,J: $i] :
          ( ( ifeq @ ( p2 @ B @ A @ C ) @ true @ ( ifeq @ ( s1 @ A ) @ true @ ( ifeq @ ( n0 @ J @ C ) @ true @ ( k3 @ J @ A @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135]) ).

thf(502,plain,
    ( ( ( ifeq @ ( s1 @ d ) @ true @ ( ifeq @ ( r1 @ d ) @ true @ ( s2 @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[136]) ).

thf(503,plain,
    ( ( ( ifeq @ ( s1 @ a ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( s2 @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(504,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( q2 @ b @ H @ b ) @ true @ ( ifeq @ ( s1 @ b ) @ true @ ( s2 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(505,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( r1 @ G ) @ true @ ( ifeq @ ( l0 @ G ) @ true @ ( r2 @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(506,plain,
    ( ( ! [D: $i,E: $i,F: $i,C: $i] :
          ( ( ifeq @ ( q2 @ D @ D @ D ) @ true @ ( ifeq @ ( r1 @ D ) @ true @ ( ifeq @ ( k0 @ D ) @ true @ ( ifeq @ ( m0 @ E @ F @ C ) @ true @ ( q2 @ C @ D @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(507,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( l1 @ H @ G ) @ true @ ( q2 @ G @ G @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(508,plain,
    ( ( ! [A: $i,J: $i,I: $i] :
          ( ( ifeq @ ( q2 @ A @ A @ J ) @ true @ ( ifeq @ ( n1 @ J @ d @ A ) @ true @ ( ifeq @ ( k1 @ I ) @ true @ ( q2 @ I @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(509,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( q1 @ C @ c @ B ) @ true @ ( q2 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(510,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( l2 @ E @ D ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( q2 @ D @ c @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(511,plain,
    ( ( ! [G: $i,H: $i,F: $i] :
          ( ( ifeq @ ( q2 @ G @ H @ F ) @ true @ ( ifeq @ ( p1 @ F @ F @ H ) @ true @ ( ifeq @ ( n1 @ G @ F @ H ) @ true @ ( q2 @ F @ G @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(512,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( p1 @ I @ I @ I ) @ true @ ( q2 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(513,plain,
    ( ( ( ifeq @ ( q2 @ d @ c @ a ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q0 @ e @ c ) @ true @ ( q2 @ d @ a @ a ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(514,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( n1 @ J @ J @ A ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( q2 @ J @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(515,plain,
    ( ( ! [C: $i,B: $i,D: $i] :
          ( ( ifeq @ ( n1 @ C @ B @ D ) @ true @ ( ifeq @ ( q0 @ C @ B ) @ true @ ( q2 @ B @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(516,plain,
    ( ( ! [E: $i,F: $i] :
          ( ( ifeq @ ( p1 @ E @ E @ E ) @ true @ ( ifeq @ ( k0 @ F ) @ true @ ( q2 @ E @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(517,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( m1 @ E @ D @ E ) @ true @ ( p2 @ D @ E @ D ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(518,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( l1 @ G @ F ) @ true @ ( p2 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(519,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n2 @ H ) @ true @ ( ifeq @ ( k1 @ e ) @ true @ ( p2 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(520,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( r1 @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( p2 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(521,plain,
    ( ( ( ifeq @ ( p1 @ e @ e @ a ) @ true @ ( p2 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(522,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( n1 @ B @ B @ B ) @ true @ ( ifeq @ ( p0 @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(523,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( n1 @ C @ e @ e ) @ true @ ( p2 @ C @ e @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(524,plain,
    ( ( ! [E: $i,D: $i,F: $i] :
          ( ( ifeq @ ( q1 @ E @ E @ E ) @ true @ ( ifeq @ ( p1 @ D @ F @ D ) @ true @ ( p2 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(525,plain,
    ( ( ( ifeq @ ( l2 @ e @ b ) @ true @ ( ifeq @ ( r1 @ e ) @ true @ ( ifeq @ ( m1 @ d @ a @ c ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( p2 @ a @ c @ b ) @ true ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(526,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( s1 @ G ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( p2 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(527,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( m1 @ a @ H @ d ) @ true @ ( ifeq @ ( n0 @ H @ d ) @ true @ ( p2 @ a @ H @ d ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(528,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( p2 @ J @ J @ A ) @ true @ ( ifeq @ ( q1 @ J @ A @ J ) @ true @ ( p2 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(529,plain,
    ( ( ! [D: $i,C: $i,B: $i] :
          ( ( ifeq @ ( p2 @ D @ C @ B ) @ true @ ( ifeq @ ( r1 @ C ) @ true @ ( ifeq @ ( p0 @ B @ B ) @ true @ ( p2 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(530,plain,
    ( ( ! [E: $i,F: $i] :
          ( ( ifeq @ ( k2 @ E @ c ) @ true @ ( ifeq @ ( q1 @ F @ c @ F ) @ true @ ( p2 @ E @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(531,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( q1 @ e @ c @ G ) @ true @ ( ifeq @ ( p1 @ G @ b @ b ) @ true @ ( ifeq @ ( n1 @ e @ e @ G ) @ true @ ( p2 @ b @ c @ c ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(532,plain,
    ( ( ( ifeq @ ( p1 @ d @ b @ e ) @ true @ ( p2 @ d @ b @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(533,plain,
    ( ( ! [J: $i,H: $i,I: $i] :
          ( ( ifeq @ ( p2 @ a @ J @ H ) @ true @ ( ifeq @ ( m1 @ a @ a @ I ) @ true @ ( p2 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(534,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( k1 @ A ) @ true @ ( p2 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(535,plain,
    ( ( ! [B: $i,D: $i,C: $i] :
          ( ( ifeq @ ( p2 @ B @ D @ B ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q1 @ c @ B @ D ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( p2 @ B @ B @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(536,plain,
    ( ( ! [E: $i] :
          ( ( ifeq @ ( l1 @ E @ d ) @ true @ ( p2 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(537,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( q1 @ a @ G @ F ) @ true @ ( ifeq @ ( n1 @ e @ F @ a ) @ true @ ( p2 @ F @ e @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(538,plain,
    ( ( ! [H: $i,I: $i,J: $i] :
          ( ( ifeq @ ( p2 @ e @ H @ I ) @ true @ ( ifeq @ ( k1 @ J ) @ true @ ( p2 @ H @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(539,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( q1 @ A @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(540,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( n1 @ d @ d @ B ) @ true @ ( p2 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(541,plain,
    ( ( ! [C: $i,D: $i,E: $i] :
          ( ( ifeq @ ( p2 @ C @ D @ C ) @ true @ ( ifeq @ ( n1 @ E @ D @ E ) @ true @ ( ifeq @ ( p0 @ C @ D ) @ true @ ( p2 @ C @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(542,plain,
    ( ( ( ifeq @ ( s0 @ d ) @ true @ ( ifeq @ ( k1 @ d ) @ true @ ( p2 @ d @ d @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(543,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( m1 @ G @ G @ F ) @ true @ ( p2 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(544,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( r1 @ a ) @ true @ ( ifeq @ ( m0 @ I @ H @ d ) @ true @ ( p2 @ H @ H @ d ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(545,plain,
    ( ( ! [A: $i,J: $i,B: $i] :
          ( ( ifeq @ ( p2 @ A @ J @ A ) @ true @ ( ifeq @ ( m1 @ A @ B @ J ) @ true @ ( p2 @ J @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(546,plain,
    ( ( ( ifeq @ ( r1 @ d ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( p2 @ e @ c @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(547,plain,
    ( ( ! [C: $i,D: $i,E: $i,F: $i] :
          ( ( ifeq @ ( p2 @ C @ D @ C ) @ true @ ( ifeq @ ( p1 @ C @ E @ F ) @ true @ ( ifeq @ ( l1 @ E @ F ) @ true @ ( p2 @ C @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(548,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( p1 @ G @ H @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ e @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(549,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( k2 @ c @ a ) @ true @ ( ifeq @ ( n1 @ c @ I @ I ) @ true @ ( ifeq @ ( p0 @ b @ I ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ b @ c @ a ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(550,plain,
    ( ( ( ifeq @ ( q1 @ e @ e @ e ) @ true @ ( ifeq @ ( l1 @ c @ b ) @ true @ ( p2 @ c @ e @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(551,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( l2 @ a @ A ) @ true @ ( ifeq @ ( k2 @ J @ a ) @ true @ ( ifeq @ ( k0 @ A ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( p2 @ J @ J @ J ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(552,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( q1 @ B @ a @ B ) @ true @ ( p2 @ B @ a @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(553,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( r1 @ b ) @ true @ ( ifeq @ ( p1 @ b @ I @ J ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( n2 @ e ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(554,plain,
    ( ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( n2 @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(555,plain,
    ( ( ( ifeq @ ( q1 @ c @ a @ d ) @ true @ ( ifeq @ ( n1 @ e @ a @ e ) @ true @ ( ifeq @ ( m1 @ b @ a @ e ) @ true @ ( ifeq @ ( k1 @ c ) @ true @ ( n2 @ a ) @ true ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(556,plain,
    ( ( ! [B: $i,C: $i,A: $i] :
          ( ( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( n2 @ A ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(557,plain,
    ( ( ( ifeq @ ( k1 @ b ) @ true @ ( m2 @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(558,plain,
    ( ( ! [F: $i,G: $i,H: $i] :
          ( ( ifeq @ ( s0 @ F ) @ true @ ( ifeq @ ( l1 @ G @ H ) @ true @ ( m2 @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(559,plain,
    ( ( ! [I: $i,H: $i,G: $i] :
          ( ( ifeq @ ( m1 @ I @ H @ H ) @ true @ ( ifeq @ ( p0 @ H @ G ) @ true @ ( ifeq @ ( m0 @ H @ G @ I ) @ true @ ( l2 @ G @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(560,plain,
    ( ( ! [B: $i,A: $i,C: $i,J: $i] :
          ( ( ifeq @ ( s1 @ B ) @ true @ ( ifeq @ ( p0 @ A @ A ) @ true @ ( ifeq @ ( m0 @ C @ B @ J ) @ true @ ( l2 @ J @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(561,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( l2 @ E @ E ) @ true @ ( ifeq @ ( s1 @ D ) @ true @ ( ifeq @ ( n0 @ e @ E ) @ true @ ( l2 @ D @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(562,plain,
    ( ( ( ifeq @ ( l1 @ e @ e ) @ true @ ( k2 @ e @ e ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(563,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( q1 @ A @ J @ J ) @ true @ ( k2 @ J @ J ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(564,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( q1 @ B @ B @ d ) @ true @ ( ifeq @ ( n1 @ e @ d @ B ) @ true @ ( ifeq @ ( m1 @ B @ e @ B ) @ true @ ( k2 @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(565,plain,
    ( ( ! [F: $i,D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( k2 @ F @ D ) @ true @ ( ifeq @ ( m1 @ E @ D @ C ) @ true @ ( ifeq @ ( k1 @ F ) @ true @ ( k2 @ C @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(566,plain,
    ( ( ! [H: $i,F: $i,G: $i] :
          ( ( ifeq @ ( s1 @ H ) @ true @ ( ifeq @ ( q0 @ F @ G ) @ true @ ( s1 @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(567,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( p0 @ I @ I ) @ true @ ( s1 @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(568,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( q1 @ d @ E @ d ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( r1 @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(569,plain,
    ( ( ! [F: $i] :
          ( ( ifeq @ ( r0 @ F ) @ true @ ( ifeq @ ( m0 @ c @ F @ F ) @ true @ ( q1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(570,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( m0 @ G @ H @ G ) @ true @ ( q1 @ G @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(571,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( m0 @ J @ A @ I ) @ true @ ( q1 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(572,plain,
    ( ( ( ifeq @ ( r0 @ b ) @ true @ ( q1 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(573,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( s0 @ B ) @ true @ ( q1 @ B @ b @ b ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(574,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( n1 @ D @ d @ C ) @ true @ ( ifeq @ ( p0 @ b @ d ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( q1 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(575,plain,
    ( ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( q1 @ d @ d @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(576,plain,
    ( ( ! [E: $i] :
          ( ( ifeq @ ( r0 @ E ) @ true @ ( q1 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(577,plain,
    ( ( ( ifeq @ ( l0 @ b ) @ true @ ( q1 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(578,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( m0 @ F @ F @ G ) @ true @ ( q1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(579,plain,
    ( ( ! [H: $i,I: $i,J: $i] :
          ( ( ifeq @ ( m1 @ H @ I @ I ) @ true @ ( ifeq @ ( r0 @ J ) @ true @ ( q1 @ H @ H @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(580,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( q1 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(581,plain,
    ( ( ( ifeq @ ( m1 @ c @ d @ a ) @ true @ ( ifeq @ ( m0 @ c @ b @ a ) @ true @ ( q1 @ d @ d @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(582,plain,
    ( ( ! [C: $i,D: $i,B: $i] :
          ( ( ifeq @ ( m0 @ C @ D @ B ) @ true @ ( q1 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(583,plain,
    ( ( ! [G: $i,F: $i,E: $i] :
          ( ( ifeq @ ( p0 @ G @ G ) @ true @ ( ifeq @ ( q0 @ F @ E ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( q1 @ E @ E @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(584,plain,
    ( ( ! [H: $i,I: $i,J: $i] :
          ( ( ifeq @ ( p1 @ H @ b @ b ) @ true @ ( ifeq @ ( p0 @ I @ J ) @ true @ ( ifeq @ ( q0 @ b @ b ) @ true @ ( q1 @ H @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(585,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( m0 @ e @ d @ A ) @ true @ ( ifeq @ ( m0 @ A @ d @ A ) @ true @ ( q1 @ e @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(586,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( s0 @ B ) @ true @ ( q1 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(587,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( p0 @ D @ d ) @ true @ ( ifeq @ ( s0 @ C ) @ true @ ( q1 @ C @ C @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(588,plain,
    ( ( ! [E: $i,H: $i,G: $i,F: $i] :
          ( ( ifeq @ ( l0 @ E ) @ true @ ( ifeq @ ( p0 @ H @ E ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( ifeq @ ( q0 @ F @ F ) @ true @ ( q1 @ E @ F @ E ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(589,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( m0 @ I @ c @ b ) @ true @ ( q1 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(590,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ A ) @ true @ ( q1 @ J @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(591,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( p1 @ b @ b @ B ) @ true @ ( ifeq @ ( q0 @ B @ b ) @ true @ ( ifeq @ ( k1 @ B ) @ true @ ( q1 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(592,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( n0 @ D @ C ) @ true @ ( q1 @ C @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(593,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( q1 @ F @ F @ G ) @ true @ ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( l0 @ E ) @ true @ ( q1 @ E @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(594,plain,
    ( ( ! [I: $i,J: $i,H: $i] :
          ( ( ifeq @ ( m0 @ I @ I @ J ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( q1 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(595,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( s0 @ A ) @ true @ ( q1 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(596,plain,
    ( ( ! [E: $i,C: $i,D: $i,B: $i] :
          ( ( ifeq @ ( q1 @ E @ C @ D ) @ true @ ( ifeq @ ( n1 @ C @ D @ D ) @ true @ ( ifeq @ ( m1 @ B @ D @ C ) @ true @ ( ifeq @ ( p0 @ C @ E ) @ true @ ( q1 @ B @ B @ B ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(597,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( p0 @ G @ F ) @ true @ ( q1 @ F @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(598,plain,
    ( ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( q1 @ b @ e @ e ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(599,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( q0 @ I @ H ) @ true @ ( q1 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(600,plain,
    ( ( ! [C: $i,J: $i,B: $i,A: $i] :
          ( ( ifeq @ ( p0 @ C @ J ) @ true @ ( ifeq @ ( n0 @ B @ A ) @ true @ ( q1 @ J @ A @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(601,plain,
    ( ( ! [D: $i,C: $i,G: $i,E: $i,F: $i] :
          ( ( ifeq @ ( n1 @ D @ C @ G ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( k1 @ F ) @ true @ ( p1 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(602,plain,
    ( ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p1 @ e @ e @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(603,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n1 @ c @ d @ H ) @ true @ ( ifeq @ ( r0 @ d ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( ifeq @ ( n0 @ c @ H ) @ true @ ( p1 @ d @ d @ H ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(604,plain,
    ( ( ( ifeq @ ( l0 @ a ) @ true @ ( p1 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(605,plain,
    ( ( ( ifeq @ ( p1 @ a @ a @ a ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( p1 @ a @ b @ a ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(606,plain,
    ( ( ! [I: $i,J: $i,A: $i] :
          ( ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( m0 @ J @ A @ I ) @ true @ ( p1 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(607,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(608,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( m0 @ b @ E @ b ) @ true @ ( ifeq @ ( l1 @ D @ b ) @ true @ ( p1 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(609,plain,
    ( ( ! [F: $i,G: $i] :
          ( ( ifeq @ ( m1 @ F @ G @ b ) @ true @ ( ifeq @ ( k0 @ G ) @ true @ ( p1 @ F @ b @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(610,plain,
    ( ( ! [J: $i,H: $i,A: $i,I: $i] :
          ( ( ifeq @ ( p1 @ J @ H @ A ) @ true @ ( ifeq @ ( m0 @ J @ H @ A ) @ true @ ( p1 @ H @ I @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[244]) ).

thf(611,plain,
    ( ( ! [C: $i,D: $i,B: $i,F: $i,E: $i] :
          ( ( ifeq @ ( m1 @ C @ D @ B ) @ true @ ( ifeq @ ( l0 @ F ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( p1 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(612,plain,
    ( ( ! [H: $i,J: $i,G: $i,I: $i] :
          ( ( ifeq @ ( n1 @ H @ J @ G ) @ true @ ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( n0 @ H @ H ) @ true @ ( p1 @ G @ G @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(613,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( p1 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(614,plain,
    ( ( ( ifeq @ ( p0 @ d @ b ) @ true @ ( ifeq @ ( m0 @ e @ a @ a ) @ true @ ( p1 @ d @ d @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(615,plain,
    ( ( ( ifeq @ ( m0 @ b @ c @ e ) @ true @ ( p1 @ c @ e @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[249]) ).

thf(616,plain,
    ( ( ( ifeq @ ( p0 @ b @ a ) @ true @ ( p1 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(617,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( ifeq @ ( r0 @ B ) @ true @ ( p1 @ B @ B @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(618,plain,
    ( ( ! [D: $i,E: $i] :
          ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( k0 @ D ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( ifeq @ ( n0 @ e @ b ) @ true @ ( p1 @ D @ D @ D ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(619,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( s0 @ G ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( p1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(620,plain,
    ( ( ! [I: $i,A: $i,H: $i,J: $i] :
          ( ( ifeq @ ( p1 @ I @ A @ H ) @ true @ ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ H @ I @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(621,plain,
    ( ( ( ifeq @ ( p0 @ a @ c ) @ true @ ( p1 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(622,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[256]) ).

thf(623,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( k0 @ D ) @ true @ ( p1 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[257]) ).

thf(624,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( q0 @ F @ E ) @ true @ ( p1 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[258]) ).

thf(625,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( n0 @ H @ G ) @ true @ ( p1 @ G @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(626,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( p0 @ I @ J ) @ true @ ( ifeq @ ( l1 @ J @ J ) @ true @ ( ifeq @ ( n0 @ J @ J ) @ true @ ( p1 @ I @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[260]) ).

thf(627,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ ( l0 @ A ) @ true @ ( ifeq @ ( m0 @ B @ C @ b ) @ true @ ( p1 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[261]) ).

thf(628,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( k0 @ E ) @ true @ ( ifeq @ ( n0 @ d @ D ) @ true @ ( p1 @ D @ D @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(629,plain,
    ( ( ! [E: $i,D: $i,F: $i] :
          ( ( ifeq @ ( n1 @ E @ D @ E ) @ true @ ( ifeq @ ( m0 @ E @ E @ F ) @ true @ ( n1 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[263]) ).

thf(630,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( s0 @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[264]) ).

thf(631,plain,
    ( ( ( ifeq @ ( m1 @ d @ e @ e ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( q0 @ b @ e ) @ true @ ( n1 @ d @ d @ b ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[265]) ).

thf(632,plain,
    ( ( ! [J: $i,A: $i,I: $i,H: $i] :
          ( ( ifeq @ ( m0 @ J @ A @ A ) @ true @ ( ifeq @ ( m0 @ I @ J @ H ) @ true @ ( n1 @ H @ H @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[266]) ).

thf(633,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( l1 @ C @ B ) @ true @ ( ifeq @ ( n0 @ C @ B ) @ true @ ( n1 @ B @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[267]) ).

thf(634,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( r0 @ D ) @ true @ ( n1 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[268]) ).

thf(635,plain,
    ( ( ( ifeq @ ( l0 @ a ) @ true @ ( ifeq @ ( r0 @ a ) @ true @ ( n1 @ a @ a @ a ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[269]) ).

thf(636,plain,
    ( ( ( ifeq @ ( n1 @ e @ e @ e ) @ true @ ( ifeq @ ( p0 @ d @ d ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( n1 @ d @ e @ e ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(637,plain,
    ( ( ! [E: $i,F: $i,G: $i] :
          ( ( ifeq @ ( n1 @ E @ F @ E ) @ true @ ( ifeq @ ( l0 @ G ) @ true @ ( ifeq @ ( l1 @ G @ E ) @ true @ ( n1 @ E @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(638,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( p0 @ a @ b ) @ true @ ( ifeq @ ( p0 @ H @ d ) @ true @ ( n1 @ a @ H @ b ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[272]) ).

thf(639,plain,
    ( ( ! [A: $i,J: $i,I: $i] :
          ( ( ifeq @ ( p0 @ A @ J ) @ true @ ( ifeq @ ( m0 @ J @ J @ J ) @ true @ ( ifeq @ ( s0 @ I ) @ true @ ( ifeq @ ( k1 @ I ) @ true @ ( n1 @ I @ I @ I ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(640,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( n1 @ C @ B @ C ) @ true @ ( ifeq @ ( m1 @ c @ B @ C ) @ true @ ( ifeq @ ( m0 @ b @ C @ c ) @ true @ ( n1 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(641,plain,
    ( ( ! [D: $i,E: $i] :
          ( ( ifeq @ ( l0 @ D ) @ true @ ( ifeq @ ( p0 @ b @ E ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(642,plain,
    ( ( ( ifeq @ ( l0 @ c ) @ true @ ( n1 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(643,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( p0 @ J @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( ifeq @ ( l1 @ J @ d ) @ true @ ( n1 @ I @ d @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(644,plain,
    ( ( ! [B: $i,C: $i,A: $i] :
          ( ( ifeq @ ( m1 @ B @ C @ A ) @ true @ ( ifeq @ ( k0 @ B ) @ true @ ( n1 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(645,plain,
    ( ( ( ifeq @ ( q0 @ d @ d ) @ true @ ( n1 @ d @ d @ d ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(646,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p0 @ E @ F ) @ true @ ( ifeq @ ( p0 @ D @ D ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(647,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( p0 @ G @ G ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(648,plain,
    ( ( ! [H: $i,I: $i,J: $i,A: $i] :
          ( ( ifeq @ ( k0 @ H ) @ true @ ( ifeq @ ( m0 @ I @ J @ I ) @ true @ ( ifeq @ ( q0 @ A @ J ) @ true @ ( n1 @ H @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(649,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( m1 @ b @ B @ e ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ e @ e @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(650,plain,
    ( ( ! [C: $i,D: $i] :
          ( ( ifeq @ ( m0 @ C @ D @ e ) @ true @ ( ifeq @ ( k1 @ C ) @ true @ ( n1 @ C @ e @ e ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(651,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( m0 @ F @ E @ c ) @ true @ ( n1 @ E @ c @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(652,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( q0 @ a @ G ) @ true @ ( ifeq @ ( n0 @ G @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[286]) ).

thf(653,plain,
    ( ( ! [I: $i,J: $i,H: $i] :
          ( ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( p0 @ J @ H ) @ true @ ( ifeq @ ( r0 @ H ) @ true @ ( n1 @ H @ I @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(654,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( m0 @ b @ B @ A ) @ true @ ( n1 @ A @ A @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(655,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( m1 @ I @ J @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[289]) ).

thf(656,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ifeq @ ( q0 @ A @ A ) @ true @ ( ifeq @ ( k1 @ a ) @ true @ ( ifeq @ ( k1 @ B ) @ true @ ( m1 @ A @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(657,plain,
    ( ( ! [E: $i,D: $i,C: $i] :
          ( ( ifeq @ ( m1 @ E @ D @ C ) @ true @ ( ifeq @ ( q0 @ D @ D ) @ true @ ( m1 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(658,plain,
    ( ( ! [F: $i] :
          ( ( ifeq @ ( s0 @ F ) @ true @ ( m1 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(659,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( ifeq @ ( m0 @ a @ e @ c ) @ true @ ( m1 @ c @ a @ c ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[293]) ).

thf(660,plain,
    ( ( ( ifeq @ ( r0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[294]) ).

thf(661,plain,
    ( ( ! [H: $i,I: $i] :
          ( ( ifeq @ ( p0 @ H @ I ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( m1 @ H @ I @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[295]) ).

thf(662,plain,
    ( ( ! [J: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( m0 @ J @ J @ J ) @ true @ ( m1 @ J @ J @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[296]) ).

thf(663,plain,
    ( ( ( ifeq @ ( q0 @ c @ d ) @ true @ ( ifeq @ ( l1 @ a @ b ) @ true @ ( m1 @ b @ b @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[297]) ).

thf(664,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( l0 @ B ) @ true @ ( ifeq @ ( l0 @ A ) @ true @ ( ifeq @ ( p0 @ B @ d ) @ true @ ( m1 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[298]) ).

thf(665,plain,
    ( ( ! [D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( m0 @ D @ E @ C ) @ true @ ( m1 @ C @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(666,plain,
    ( ( ! [G: $i,H: $i,F: $i] :
          ( ( ifeq @ ( m1 @ G @ c @ G ) @ true @ ( ifeq @ ( m0 @ a @ H @ a ) @ true @ ( ifeq @ ( q0 @ F @ G ) @ true @ ( m1 @ F @ a @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(667,plain,
    ( ( ( ifeq @ ( l0 @ a ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ a @ a @ a ) @ true ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[301]) ).

thf(668,plain,
    ( ( ( ifeq @ ( s0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[302]) ).

thf(669,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ I ) @ true @ ( m1 @ I @ J @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[303]) ).

thf(670,plain,
    ( ( ( ifeq @ ( l0 @ c ) @ true @ ( m1 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[304]) ).

thf(671,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ifeq @ ( p0 @ A @ B ) @ true @ ( ifeq @ ( r0 @ c ) @ true @ ( ifeq @ ( q0 @ B @ d ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ A @ B @ c ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[305]) ).

thf(672,plain,
    ( ( ! [D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( q0 @ D @ C ) @ true @ ( m1 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[306]) ).

thf(673,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( q0 @ G @ d ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( m1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[307]) ).

thf(674,plain,
    ( ( ! [J: $i,A: $i,I: $i,H: $i] :
          ( ( ifeq @ ( m1 @ J @ A @ I ) @ true @ ( ifeq @ ( m1 @ J @ I @ H ) @ true @ ( m1 @ H @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[308]) ).

thf(675,plain,
    ( ( ! [D: $i,C: $i,B: $i] :
          ( ( ifeq @ ( l0 @ D ) @ true @ ( ifeq @ ( m0 @ C @ C @ B ) @ true @ ( m1 @ B @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[309]) ).

thf(676,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( m0 @ F @ G @ E ) @ true @ ( m1 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[310]) ).

thf(677,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( q0 @ I @ H ) @ true @ ( m1 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[311]) ).

thf(678,plain,
    ( ( ( ifeq @ ( r0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[312]) ).

thf(679,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( n0 @ A @ A ) @ true @ ( m1 @ J @ J @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[313]) ).

thf(680,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( ifeq @ ( l1 @ c @ c ) @ true @ ( ifeq @ ( n0 @ C @ C ) @ true @ ( m1 @ B @ B @ c ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[314]) ).

thf(681,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( r0 @ E ) @ true @ ( ifeq @ ( q0 @ F @ D ) @ true @ ( ifeq @ ( s0 @ E ) @ true @ ( m1 @ D @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[315]) ).

thf(682,plain,
    ( ( ( ifeq @ ( l0 @ b ) @ true @ ( m1 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[316]) ).

thf(683,plain,
    ( ( ! [I: $i,H: $i,G: $i] :
          ( ( ifeq @ ( p0 @ I @ H ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( m1 @ G @ H @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[317]) ).

thf(684,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( m0 @ A @ A @ J ) @ true @ ( m1 @ J @ J @ J ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[318]) ).

thf(685,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( m0 @ C @ C @ B ) @ true @ ( m1 @ B @ C @ B ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[319]) ).

thf(686,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( l0 @ B ) @ true @ ( ifeq @ ( l1 @ B @ B ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( l1 @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[320]) ).

thf(687,plain,
    ( ( ! [E: $i,C: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p0 @ E @ C ) @ true @ ( ifeq @ ( r0 @ F ) @ true @ ( ifeq @ ( m0 @ D @ C @ E ) @ true @ ( l1 @ C @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[321]) ).

thf(688,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( n0 @ H @ G ) @ true @ ( l1 @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[322]) ).

thf(689,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( n0 @ J @ I ) @ true @ ( k1 @ I ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[323]) ).

thf(690,plain,
    ( ( ( m0 @ b @ a @ a )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[324]) ).

thf(691,plain,
    ( ( ( n0 @ b @ a )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[325]) ).

thf(692,plain,
    ( ( ( q0 @ a @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[326]) ).

thf(693,plain,
    ( ( ( m0 @ d @ e @ c )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[327]) ).

thf(694,plain,
    ( ( ( n0 @ c @ d )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[328]) ).

thf(695,plain,
    ( ( ( q0 @ d @ c )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[329]) ).

thf(696,plain,
    ( ( ( k0 @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[330]) ).

thf(697,plain,
    ( ( ( m0 @ b @ b @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[331]) ).

thf(698,plain,
    ( ( ( n0 @ e @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[332]) ).

thf(699,plain,
    ( ( ( q0 @ d @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[333]) ).

thf(700,plain,
    ( ( ( k0 @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[334]) ).

thf(701,plain,
    ( ( ( m0 @ e @ b @ c )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[335]) ).

thf(702,plain,
    ( ( ( n0 @ d @ c )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[336]) ).

thf(703,plain,
    ( ( ( q0 @ d @ d )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[337]) ).

thf(704,plain,
    ( ( ( l0 @ c )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[338]) ).

thf(705,plain,
    ( ( ( m0 @ a @ e @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[339]) ).

thf(706,plain,
    ( ( ( p0 @ b @ c )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[340]) ).

thf(707,plain,
    ( ( ( q0 @ b @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[341]) ).

thf(708,plain,
    ( ( ( l0 @ a )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[342]) ).

thf(709,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m0 @ X @ d @ Y )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[343]) ).

thf(710,plain,
    ( ( ( p0 @ c @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[344]) ).

thf(711,plain,
    ( ( ! [X: $i] :
          ( ( q0 @ X @ d )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[345]) ).

thf(712,plain,
    ( ( ( m0 @ c @ b @ a )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[346]) ).

thf(713,plain,
    ( ( ( n0 @ a @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[347]) ).

thf(714,plain,
    ( ( ! [X: $i] :
          ( ( p0 @ b @ X )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[348]) ).

thf(715,plain,
    ( ( ( r0 @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[349]) ).

thf(716,plain,
    ( ( ! [X: $i] :
          ( ( m0 @ a @ X @ a )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[350]) ).

thf(717,plain,
    ( ( ( n0 @ e @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[351]) ).

thf(718,plain,
    ( ( ( p0 @ b @ d )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[352]) ).

thf(719,plain,
    ( ( ( r0 @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[353]) ).

thf(720,plain,
    ( ( ( m0 @ e @ d @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[354]) ).

thf(721,plain,
    ( ( ( n0 @ d @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[355]) ).

thf(722,plain,
    ( ( ( q0 @ b @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[356]) ).

thf(723,plain,
    ( ( ( s0 @ b )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[357]) ).

thf(724,plain,
    ( ( ( m0 @ e @ d @ a )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[358]) ).

thf(725,plain,
    ( ( ( n0 @ d @ e )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[359]) ).

thf(726,plain,
    ( ( ( q0 @ e @ d )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(727,plain,
    ( ( ( s0 @ d )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[361]) ).

thf(728,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ A @ A @ B @ C )
          = B ) )
    = $true ),
    inference(unfold_def,[status(thm)],[362]) ).

thf(729,plain,
    ( ( ( k5 @ b )
     != true )
    = $true ),
    inference(unfold_def,[status(thm)],[365]) ).

thf(730,plain,
    ( ( ~ $false ) = $true ),
    inference(polarity_switch,[status(thm)],[366]) ).

thf(731,plain,
    ( ( ( k5 @ b )
     != true )
    = $true ),
    inference(extcnf_combined,[status(esa)],[729]) ).

thf(732,plain,
    ( ( ( k5 @ b )
     != true )
    = $true ),
    inference(copy,[status(thm)],[731]) ).

thf(733,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ A @ A @ B @ C )
          = B ) )
    = $true ),
    inference(copy,[status(thm)],[728]) ).

thf(734,plain,
    ( ( ( s0 @ d )
      = true )
    = $true ),
    inference(copy,[status(thm)],[727]) ).

thf(735,plain,
    ( ( ( q0 @ e @ d )
      = true )
    = $true ),
    inference(copy,[status(thm)],[726]) ).

thf(736,plain,
    ( ( ( n0 @ d @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[725]) ).

thf(737,plain,
    ( ( ( m0 @ e @ d @ a )
      = true )
    = $true ),
    inference(copy,[status(thm)],[724]) ).

thf(738,plain,
    ( ( ( s0 @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[723]) ).

thf(739,plain,
    ( ( ( q0 @ b @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[722]) ).

thf(740,plain,
    ( ( ( n0 @ d @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[721]) ).

thf(741,plain,
    ( ( ( m0 @ e @ d @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[720]) ).

thf(742,plain,
    ( ( ( r0 @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[719]) ).

thf(743,plain,
    ( ( ( p0 @ b @ d )
      = true )
    = $true ),
    inference(copy,[status(thm)],[718]) ).

thf(744,plain,
    ( ( ( n0 @ e @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[717]) ).

thf(745,plain,
    ( ( ! [X: $i] :
          ( ( m0 @ a @ X @ a )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[716]) ).

thf(746,plain,
    ( ( ( r0 @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[715]) ).

thf(747,plain,
    ( ( ! [X: $i] :
          ( ( p0 @ b @ X )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[714]) ).

thf(748,plain,
    ( ( ( n0 @ a @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[713]) ).

thf(749,plain,
    ( ( ( m0 @ c @ b @ a )
      = true )
    = $true ),
    inference(copy,[status(thm)],[712]) ).

thf(750,plain,
    ( ( ! [X: $i] :
          ( ( q0 @ X @ d )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[711]) ).

thf(751,plain,
    ( ( ( p0 @ c @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[710]) ).

thf(752,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m0 @ X @ d @ Y )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[709]) ).

thf(753,plain,
    ( ( ( l0 @ a )
      = true )
    = $true ),
    inference(copy,[status(thm)],[708]) ).

thf(754,plain,
    ( ( ( q0 @ b @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[707]) ).

thf(755,plain,
    ( ( ( p0 @ b @ c )
      = true )
    = $true ),
    inference(copy,[status(thm)],[706]) ).

thf(756,plain,
    ( ( ( m0 @ a @ e @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[705]) ).

thf(757,plain,
    ( ( ( l0 @ c )
      = true )
    = $true ),
    inference(copy,[status(thm)],[704]) ).

thf(758,plain,
    ( ( ( q0 @ d @ d )
      = true )
    = $true ),
    inference(copy,[status(thm)],[703]) ).

thf(759,plain,
    ( ( ( n0 @ d @ c )
      = true )
    = $true ),
    inference(copy,[status(thm)],[702]) ).

thf(760,plain,
    ( ( ( m0 @ e @ b @ c )
      = true )
    = $true ),
    inference(copy,[status(thm)],[701]) ).

thf(761,plain,
    ( ( ( k0 @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[700]) ).

thf(762,plain,
    ( ( ( q0 @ d @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[699]) ).

thf(763,plain,
    ( ( ( n0 @ e @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[698]) ).

thf(764,plain,
    ( ( ( m0 @ b @ b @ e )
      = true )
    = $true ),
    inference(copy,[status(thm)],[697]) ).

thf(765,plain,
    ( ( ( k0 @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[696]) ).

thf(766,plain,
    ( ( ( q0 @ d @ c )
      = true )
    = $true ),
    inference(copy,[status(thm)],[695]) ).

thf(767,plain,
    ( ( ( n0 @ c @ d )
      = true )
    = $true ),
    inference(copy,[status(thm)],[694]) ).

thf(768,plain,
    ( ( ( m0 @ d @ e @ c )
      = true )
    = $true ),
    inference(copy,[status(thm)],[693]) ).

thf(769,plain,
    ( ( ( q0 @ a @ b )
      = true )
    = $true ),
    inference(copy,[status(thm)],[692]) ).

thf(770,plain,
    ( ( ( n0 @ b @ a )
      = true )
    = $true ),
    inference(copy,[status(thm)],[691]) ).

thf(771,plain,
    ( ( ( m0 @ b @ a @ a )
      = true )
    = $true ),
    inference(copy,[status(thm)],[690]) ).

thf(772,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( n0 @ J @ I ) @ true @ ( k1 @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[689]) ).

thf(773,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( n0 @ H @ G ) @ true @ ( l1 @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[688]) ).

thf(774,plain,
    ( ( ! [E: $i,C: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p0 @ E @ C ) @ true @ ( ifeq @ ( r0 @ F ) @ true @ ( ifeq @ ( m0 @ D @ C @ E ) @ true @ ( l1 @ C @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[687]) ).

thf(775,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( l0 @ B ) @ true @ ( ifeq @ ( l1 @ B @ B ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( l1 @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[686]) ).

thf(776,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( m0 @ C @ C @ B ) @ true @ ( m1 @ B @ C @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[685]) ).

thf(777,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( m0 @ A @ A @ J ) @ true @ ( m1 @ J @ J @ J ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[684]) ).

thf(778,plain,
    ( ( ! [I: $i,H: $i,G: $i] :
          ( ( ifeq @ ( p0 @ I @ H ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( m1 @ G @ H @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[683]) ).

thf(779,plain,
    ( ( ( ifeq @ ( l0 @ b ) @ true @ ( m1 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[682]) ).

thf(780,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( r0 @ E ) @ true @ ( ifeq @ ( q0 @ F @ D ) @ true @ ( ifeq @ ( s0 @ E ) @ true @ ( m1 @ D @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[681]) ).

thf(781,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( ifeq @ ( l1 @ c @ c ) @ true @ ( ifeq @ ( n0 @ C @ C ) @ true @ ( m1 @ B @ B @ c ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[680]) ).

thf(782,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( n0 @ A @ A ) @ true @ ( m1 @ J @ J @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[679]) ).

thf(783,plain,
    ( ( ( ifeq @ ( r0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[678]) ).

thf(784,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( q0 @ I @ H ) @ true @ ( m1 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[677]) ).

thf(785,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( m0 @ F @ G @ E ) @ true @ ( m1 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[676]) ).

thf(786,plain,
    ( ( ! [D: $i,C: $i,B: $i] :
          ( ( ifeq @ ( l0 @ D ) @ true @ ( ifeq @ ( m0 @ C @ C @ B ) @ true @ ( m1 @ B @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[675]) ).

thf(787,plain,
    ( ( ! [J: $i,A: $i,I: $i,H: $i] :
          ( ( ifeq @ ( m1 @ J @ A @ I ) @ true @ ( ifeq @ ( m1 @ J @ I @ H ) @ true @ ( m1 @ H @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[674]) ).

thf(788,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( q0 @ G @ d ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( m1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[673]) ).

thf(789,plain,
    ( ( ! [D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( q0 @ D @ C ) @ true @ ( m1 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[672]) ).

thf(790,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ifeq @ ( p0 @ A @ B ) @ true @ ( ifeq @ ( r0 @ c ) @ true @ ( ifeq @ ( q0 @ B @ d ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ A @ B @ c ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[671]) ).

thf(791,plain,
    ( ( ( ifeq @ ( l0 @ c ) @ true @ ( m1 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[670]) ).

thf(792,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ I ) @ true @ ( m1 @ I @ J @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[669]) ).

thf(793,plain,
    ( ( ( ifeq @ ( s0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[668]) ).

thf(794,plain,
    ( ( ( ifeq @ ( l0 @ a ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ a @ a @ a ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[667]) ).

thf(795,plain,
    ( ( ! [G: $i,H: $i,F: $i] :
          ( ( ifeq @ ( m1 @ G @ c @ G ) @ true @ ( ifeq @ ( m0 @ a @ H @ a ) @ true @ ( ifeq @ ( q0 @ F @ G ) @ true @ ( m1 @ F @ a @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[666]) ).

thf(796,plain,
    ( ( ! [D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( m0 @ D @ E @ C ) @ true @ ( m1 @ C @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[665]) ).

thf(797,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( l0 @ B ) @ true @ ( ifeq @ ( l0 @ A ) @ true @ ( ifeq @ ( p0 @ B @ d ) @ true @ ( m1 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[664]) ).

thf(798,plain,
    ( ( ( ifeq @ ( q0 @ c @ d ) @ true @ ( ifeq @ ( l1 @ a @ b ) @ true @ ( m1 @ b @ b @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[663]) ).

thf(799,plain,
    ( ( ! [J: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( m0 @ J @ J @ J ) @ true @ ( m1 @ J @ J @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[662]) ).

thf(800,plain,
    ( ( ! [H: $i,I: $i] :
          ( ( ifeq @ ( p0 @ H @ I ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( m1 @ H @ I @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[661]) ).

thf(801,plain,
    ( ( ( ifeq @ ( r0 @ e ) @ true @ ( m1 @ e @ e @ e ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[660]) ).

thf(802,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( ifeq @ ( m0 @ a @ e @ c ) @ true @ ( m1 @ c @ a @ c ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[659]) ).

thf(803,plain,
    ( ( ! [F: $i] :
          ( ( ifeq @ ( s0 @ F ) @ true @ ( m1 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[658]) ).

thf(804,plain,
    ( ( ! [E: $i,D: $i,C: $i] :
          ( ( ifeq @ ( m1 @ E @ D @ C ) @ true @ ( ifeq @ ( q0 @ D @ D ) @ true @ ( m1 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[657]) ).

thf(805,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ifeq @ ( q0 @ A @ A ) @ true @ ( ifeq @ ( k1 @ a ) @ true @ ( ifeq @ ( k1 @ B ) @ true @ ( m1 @ A @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[656]) ).

thf(806,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( m1 @ I @ J @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[655]) ).

thf(807,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( m0 @ b @ B @ A ) @ true @ ( n1 @ A @ A @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[654]) ).

thf(808,plain,
    ( ( ! [I: $i,J: $i,H: $i] :
          ( ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( p0 @ J @ H ) @ true @ ( ifeq @ ( r0 @ H ) @ true @ ( n1 @ H @ I @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[653]) ).

thf(809,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( q0 @ a @ G ) @ true @ ( ifeq @ ( n0 @ G @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[652]) ).

thf(810,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( m0 @ F @ E @ c ) @ true @ ( n1 @ E @ c @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[651]) ).

thf(811,plain,
    ( ( ! [C: $i,D: $i] :
          ( ( ifeq @ ( m0 @ C @ D @ e ) @ true @ ( ifeq @ ( k1 @ C ) @ true @ ( n1 @ C @ e @ e ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[650]) ).

thf(812,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( m1 @ b @ B @ e ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ e @ e @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[649]) ).

thf(813,plain,
    ( ( ! [H: $i,I: $i,J: $i,A: $i] :
          ( ( ifeq @ ( k0 @ H ) @ true @ ( ifeq @ ( m0 @ I @ J @ I ) @ true @ ( ifeq @ ( q0 @ A @ J ) @ true @ ( n1 @ H @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[648]) ).

thf(814,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( p0 @ G @ G ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[647]) ).

thf(815,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p0 @ E @ F ) @ true @ ( ifeq @ ( p0 @ D @ D ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[646]) ).

thf(816,plain,
    ( ( ( ifeq @ ( q0 @ d @ d ) @ true @ ( n1 @ d @ d @ d ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[645]) ).

thf(817,plain,
    ( ( ! [B: $i,C: $i,A: $i] :
          ( ( ifeq @ ( m1 @ B @ C @ A ) @ true @ ( ifeq @ ( k0 @ B ) @ true @ ( n1 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[644]) ).

thf(818,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( p0 @ J @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( ifeq @ ( l1 @ J @ d ) @ true @ ( n1 @ I @ d @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[643]) ).

thf(819,plain,
    ( ( ( ifeq @ ( l0 @ c ) @ true @ ( n1 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[642]) ).

thf(820,plain,
    ( ( ! [D: $i,E: $i] :
          ( ( ifeq @ ( l0 @ D ) @ true @ ( ifeq @ ( p0 @ b @ E ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[641]) ).

thf(821,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( n1 @ C @ B @ C ) @ true @ ( ifeq @ ( m1 @ c @ B @ C ) @ true @ ( ifeq @ ( m0 @ b @ C @ c ) @ true @ ( n1 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[640]) ).

thf(822,plain,
    ( ( ! [A: $i,J: $i,I: $i] :
          ( ( ifeq @ ( p0 @ A @ J ) @ true @ ( ifeq @ ( m0 @ J @ J @ J ) @ true @ ( ifeq @ ( s0 @ I ) @ true @ ( ifeq @ ( k1 @ I ) @ true @ ( n1 @ I @ I @ I ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[639]) ).

thf(823,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( p0 @ a @ b ) @ true @ ( ifeq @ ( p0 @ H @ d ) @ true @ ( n1 @ a @ H @ b ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[638]) ).

thf(824,plain,
    ( ( ! [E: $i,F: $i,G: $i] :
          ( ( ifeq @ ( n1 @ E @ F @ E ) @ true @ ( ifeq @ ( l0 @ G ) @ true @ ( ifeq @ ( l1 @ G @ E ) @ true @ ( n1 @ E @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[637]) ).

thf(825,plain,
    ( ( ( ifeq @ ( n1 @ e @ e @ e ) @ true @ ( ifeq @ ( p0 @ d @ d ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( n1 @ d @ e @ e ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[636]) ).

thf(826,plain,
    ( ( ( ifeq @ ( l0 @ a ) @ true @ ( ifeq @ ( r0 @ a ) @ true @ ( n1 @ a @ a @ a ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[635]) ).

thf(827,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( r0 @ D ) @ true @ ( n1 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[634]) ).

thf(828,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( l1 @ C @ B ) @ true @ ( ifeq @ ( n0 @ C @ B ) @ true @ ( n1 @ B @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[633]) ).

thf(829,plain,
    ( ( ! [J: $i,A: $i,I: $i,H: $i] :
          ( ( ifeq @ ( m0 @ J @ A @ A ) @ true @ ( ifeq @ ( m0 @ I @ J @ H ) @ true @ ( n1 @ H @ H @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[632]) ).

thf(830,plain,
    ( ( ( ifeq @ ( m1 @ d @ e @ e ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( q0 @ b @ e ) @ true @ ( n1 @ d @ d @ b ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[631]) ).

thf(831,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( s0 @ G ) @ true @ ( n1 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[630]) ).

thf(832,plain,
    ( ( ! [E: $i,D: $i,F: $i] :
          ( ( ifeq @ ( n1 @ E @ D @ E ) @ true @ ( ifeq @ ( m0 @ E @ E @ F ) @ true @ ( n1 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[629]) ).

thf(833,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( k0 @ E ) @ true @ ( ifeq @ ( n0 @ d @ D ) @ true @ ( p1 @ D @ D @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[628]) ).

thf(834,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ ( l0 @ A ) @ true @ ( ifeq @ ( m0 @ B @ C @ b ) @ true @ ( p1 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[627]) ).

thf(835,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( p0 @ I @ J ) @ true @ ( ifeq @ ( l1 @ J @ J ) @ true @ ( ifeq @ ( n0 @ J @ J ) @ true @ ( p1 @ I @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[626]) ).

thf(836,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( n0 @ H @ G ) @ true @ ( p1 @ G @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[625]) ).

thf(837,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( q0 @ F @ E ) @ true @ ( p1 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[624]) ).

thf(838,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( k0 @ D ) @ true @ ( p1 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[623]) ).

thf(839,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[622]) ).

thf(840,plain,
    ( ( ( ifeq @ ( p0 @ a @ c ) @ true @ ( p1 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[621]) ).

thf(841,plain,
    ( ( ! [I: $i,A: $i,H: $i,J: $i] :
          ( ( ifeq @ ( p1 @ I @ A @ H ) @ true @ ( ifeq @ ( l0 @ J ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ H @ I @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[620]) ).

thf(842,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( s0 @ G ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( p1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[619]) ).

thf(843,plain,
    ( ( ! [D: $i,E: $i] :
          ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( k0 @ D ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( ifeq @ ( n0 @ e @ b ) @ true @ ( p1 @ D @ D @ D ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[618]) ).

thf(844,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( ifeq @ ( r0 @ B ) @ true @ ( p1 @ B @ B @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[617]) ).

thf(845,plain,
    ( ( ( ifeq @ ( p0 @ b @ a ) @ true @ ( p1 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[616]) ).

thf(846,plain,
    ( ( ( ifeq @ ( m0 @ b @ c @ e ) @ true @ ( p1 @ c @ e @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[615]) ).

thf(847,plain,
    ( ( ( ifeq @ ( p0 @ d @ b ) @ true @ ( ifeq @ ( m0 @ e @ a @ a ) @ true @ ( p1 @ d @ d @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[614]) ).

thf(848,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( p1 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[613]) ).

thf(849,plain,
    ( ( ! [H: $i,J: $i,G: $i,I: $i] :
          ( ( ifeq @ ( n1 @ H @ J @ G ) @ true @ ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( n0 @ H @ H ) @ true @ ( p1 @ G @ G @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[612]) ).

thf(850,plain,
    ( ( ! [C: $i,D: $i,B: $i,F: $i,E: $i] :
          ( ( ifeq @ ( m1 @ C @ D @ B ) @ true @ ( ifeq @ ( l0 @ F ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( p1 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[611]) ).

thf(851,plain,
    ( ( ! [J: $i,H: $i,A: $i,I: $i] :
          ( ( ifeq @ ( p1 @ J @ H @ A ) @ true @ ( ifeq @ ( m0 @ J @ H @ A ) @ true @ ( p1 @ H @ I @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[610]) ).

thf(852,plain,
    ( ( ! [F: $i,G: $i] :
          ( ( ifeq @ ( m1 @ F @ G @ b ) @ true @ ( ifeq @ ( k0 @ G ) @ true @ ( p1 @ F @ b @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[609]) ).

thf(853,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( m0 @ b @ E @ b ) @ true @ ( ifeq @ ( l1 @ D @ b ) @ true @ ( p1 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[608]) ).

thf(854,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[607]) ).

thf(855,plain,
    ( ( ! [I: $i,J: $i,A: $i] :
          ( ( ifeq @ ( l0 @ I ) @ true @ ( ifeq @ ( m0 @ J @ A @ I ) @ true @ ( p1 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[606]) ).

thf(856,plain,
    ( ( ( ifeq @ ( p1 @ a @ a @ a ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( p1 @ a @ b @ a ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[605]) ).

thf(857,plain,
    ( ( ( ifeq @ ( l0 @ a ) @ true @ ( p1 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[604]) ).

thf(858,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n1 @ c @ d @ H ) @ true @ ( ifeq @ ( r0 @ d ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( ifeq @ ( n0 @ c @ H ) @ true @ ( p1 @ d @ d @ H ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[603]) ).

thf(859,plain,
    ( ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p1 @ e @ e @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[602]) ).

thf(860,plain,
    ( ( ! [D: $i,C: $i,G: $i,E: $i,F: $i] :
          ( ( ifeq @ ( n1 @ D @ C @ G ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( k1 @ F ) @ true @ ( p1 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[601]) ).

thf(861,plain,
    ( ( ! [C: $i,J: $i,B: $i,A: $i] :
          ( ( ifeq @ ( p0 @ C @ J ) @ true @ ( ifeq @ ( n0 @ B @ A ) @ true @ ( q1 @ J @ A @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[600]) ).

thf(862,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( q0 @ I @ H ) @ true @ ( q1 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[599]) ).

thf(863,plain,
    ( ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( q1 @ b @ e @ e ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[598]) ).

thf(864,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( p0 @ G @ F ) @ true @ ( q1 @ F @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[597]) ).

thf(865,plain,
    ( ( ! [E: $i,C: $i,D: $i,B: $i] :
          ( ( ifeq @ ( q1 @ E @ C @ D ) @ true @ ( ifeq @ ( n1 @ C @ D @ D ) @ true @ ( ifeq @ ( m1 @ B @ D @ C ) @ true @ ( ifeq @ ( p0 @ C @ E ) @ true @ ( q1 @ B @ B @ B ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[596]) ).

thf(866,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( s0 @ A ) @ true @ ( q1 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[595]) ).

thf(867,plain,
    ( ( ! [I: $i,J: $i,H: $i] :
          ( ( ifeq @ ( m0 @ I @ I @ J ) @ true @ ( ifeq @ ( s0 @ H ) @ true @ ( q1 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[594]) ).

thf(868,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( q1 @ F @ F @ G ) @ true @ ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( l0 @ E ) @ true @ ( q1 @ E @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[593]) ).

thf(869,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( n0 @ D @ C ) @ true @ ( q1 @ C @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[592]) ).

thf(870,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( p1 @ b @ b @ B ) @ true @ ( ifeq @ ( q0 @ B @ b ) @ true @ ( ifeq @ ( k1 @ B ) @ true @ ( q1 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[591]) ).

thf(871,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( k0 @ J ) @ true @ ( ifeq @ ( l0 @ A ) @ true @ ( q1 @ J @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[590]) ).

thf(872,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( m0 @ I @ c @ b ) @ true @ ( q1 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[589]) ).

thf(873,plain,
    ( ( ! [E: $i,H: $i,G: $i,F: $i] :
          ( ( ifeq @ ( l0 @ E ) @ true @ ( ifeq @ ( p0 @ H @ E ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( ifeq @ ( q0 @ F @ F ) @ true @ ( q1 @ E @ F @ E ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[588]) ).

thf(874,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( p0 @ D @ d ) @ true @ ( ifeq @ ( s0 @ C ) @ true @ ( q1 @ C @ C @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[587]) ).

thf(875,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( s0 @ B ) @ true @ ( q1 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[586]) ).

thf(876,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( m0 @ e @ d @ A ) @ true @ ( ifeq @ ( m0 @ A @ d @ A ) @ true @ ( q1 @ e @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[585]) ).

thf(877,plain,
    ( ( ! [H: $i,I: $i,J: $i] :
          ( ( ifeq @ ( p1 @ H @ b @ b ) @ true @ ( ifeq @ ( p0 @ I @ J ) @ true @ ( ifeq @ ( q0 @ b @ b ) @ true @ ( q1 @ H @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[584]) ).

thf(878,plain,
    ( ( ! [G: $i,F: $i,E: $i] :
          ( ( ifeq @ ( p0 @ G @ G ) @ true @ ( ifeq @ ( q0 @ F @ E ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( q1 @ E @ E @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[583]) ).

thf(879,plain,
    ( ( ! [C: $i,D: $i,B: $i] :
          ( ( ifeq @ ( m0 @ C @ D @ B ) @ true @ ( q1 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[582]) ).

thf(880,plain,
    ( ( ( ifeq @ ( m1 @ c @ d @ a ) @ true @ ( ifeq @ ( m0 @ c @ b @ a ) @ true @ ( q1 @ d @ d @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[581]) ).

thf(881,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( q1 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[580]) ).

thf(882,plain,
    ( ( ! [H: $i,I: $i,J: $i] :
          ( ( ifeq @ ( m1 @ H @ I @ I ) @ true @ ( ifeq @ ( r0 @ J ) @ true @ ( q1 @ H @ H @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[579]) ).

thf(883,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( k0 @ G ) @ true @ ( ifeq @ ( m0 @ F @ F @ G ) @ true @ ( q1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[578]) ).

thf(884,plain,
    ( ( ( ifeq @ ( l0 @ b ) @ true @ ( q1 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[577]) ).

thf(885,plain,
    ( ( ! [E: $i] :
          ( ( ifeq @ ( r0 @ E ) @ true @ ( q1 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[576]) ).

thf(886,plain,
    ( ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( q1 @ d @ d @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[575]) ).

thf(887,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( n1 @ D @ d @ C ) @ true @ ( ifeq @ ( p0 @ b @ d ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( q1 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[574]) ).

thf(888,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( s0 @ B ) @ true @ ( q1 @ B @ b @ b ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[573]) ).

thf(889,plain,
    ( ( ( ifeq @ ( r0 @ b ) @ true @ ( q1 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[572]) ).

thf(890,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( m0 @ J @ A @ I ) @ true @ ( q1 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[571]) ).

thf(891,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( m0 @ G @ H @ G ) @ true @ ( q1 @ G @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[570]) ).

thf(892,plain,
    ( ( ! [F: $i] :
          ( ( ifeq @ ( r0 @ F ) @ true @ ( ifeq @ ( m0 @ c @ F @ F ) @ true @ ( q1 @ F @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[569]) ).

thf(893,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( q1 @ d @ E @ d ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( r1 @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[568]) ).

thf(894,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( p0 @ I @ I ) @ true @ ( s1 @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[567]) ).

thf(895,plain,
    ( ( ! [H: $i,F: $i,G: $i] :
          ( ( ifeq @ ( s1 @ H ) @ true @ ( ifeq @ ( q0 @ F @ G ) @ true @ ( s1 @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[566]) ).

thf(896,plain,
    ( ( ! [F: $i,D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( k2 @ F @ D ) @ true @ ( ifeq @ ( m1 @ E @ D @ C ) @ true @ ( ifeq @ ( k1 @ F ) @ true @ ( k2 @ C @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[565]) ).

thf(897,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( q1 @ B @ B @ d ) @ true @ ( ifeq @ ( n1 @ e @ d @ B ) @ true @ ( ifeq @ ( m1 @ B @ e @ B ) @ true @ ( k2 @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[564]) ).

thf(898,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( q1 @ A @ J @ J ) @ true @ ( k2 @ J @ J ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[563]) ).

thf(899,plain,
    ( ( ( ifeq @ ( l1 @ e @ e ) @ true @ ( k2 @ e @ e ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[562]) ).

thf(900,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( l2 @ E @ E ) @ true @ ( ifeq @ ( s1 @ D ) @ true @ ( ifeq @ ( n0 @ e @ E ) @ true @ ( l2 @ D @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[561]) ).

thf(901,plain,
    ( ( ! [B: $i,A: $i,C: $i,J: $i] :
          ( ( ifeq @ ( s1 @ B ) @ true @ ( ifeq @ ( p0 @ A @ A ) @ true @ ( ifeq @ ( m0 @ C @ B @ J ) @ true @ ( l2 @ J @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[560]) ).

thf(902,plain,
    ( ( ! [I: $i,H: $i,G: $i] :
          ( ( ifeq @ ( m1 @ I @ H @ H ) @ true @ ( ifeq @ ( p0 @ H @ G ) @ true @ ( ifeq @ ( m0 @ H @ G @ I ) @ true @ ( l2 @ G @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[559]) ).

thf(903,plain,
    ( ( ! [F: $i,G: $i,H: $i] :
          ( ( ifeq @ ( s0 @ F ) @ true @ ( ifeq @ ( l1 @ G @ H ) @ true @ ( m2 @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[558]) ).

thf(904,plain,
    ( ( ( ifeq @ ( k1 @ b ) @ true @ ( m2 @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[557]) ).

thf(905,plain,
    ( ( ! [B: $i,C: $i,A: $i] :
          ( ( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( n2 @ A ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[556]) ).

thf(906,plain,
    ( ( ( ifeq @ ( q1 @ c @ a @ d ) @ true @ ( ifeq @ ( n1 @ e @ a @ e ) @ true @ ( ifeq @ ( m1 @ b @ a @ e ) @ true @ ( ifeq @ ( k1 @ c ) @ true @ ( n2 @ a ) @ true ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[555]) ).

thf(907,plain,
    ( ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( n2 @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[554]) ).

thf(908,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( r1 @ b ) @ true @ ( ifeq @ ( p1 @ b @ I @ J ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( n2 @ e ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[553]) ).

thf(909,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( q1 @ B @ a @ B ) @ true @ ( p2 @ B @ a @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[552]) ).

thf(910,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( l2 @ a @ A ) @ true @ ( ifeq @ ( k2 @ J @ a ) @ true @ ( ifeq @ ( k0 @ A ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( p2 @ J @ J @ J ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[551]) ).

thf(911,plain,
    ( ( ( ifeq @ ( q1 @ e @ e @ e ) @ true @ ( ifeq @ ( l1 @ c @ b ) @ true @ ( p2 @ c @ e @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[550]) ).

thf(912,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( k2 @ c @ a ) @ true @ ( ifeq @ ( n1 @ c @ I @ I ) @ true @ ( ifeq @ ( p0 @ b @ I ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ b @ c @ a ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[549]) ).

thf(913,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( p1 @ G @ H @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ e @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[548]) ).

thf(914,plain,
    ( ( ! [C: $i,D: $i,E: $i,F: $i] :
          ( ( ifeq @ ( p2 @ C @ D @ C ) @ true @ ( ifeq @ ( p1 @ C @ E @ F ) @ true @ ( ifeq @ ( l1 @ E @ F ) @ true @ ( p2 @ C @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[547]) ).

thf(915,plain,
    ( ( ( ifeq @ ( r1 @ d ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( p2 @ e @ c @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[546]) ).

thf(916,plain,
    ( ( ! [A: $i,J: $i,B: $i] :
          ( ( ifeq @ ( p2 @ A @ J @ A ) @ true @ ( ifeq @ ( m1 @ A @ B @ J ) @ true @ ( p2 @ J @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[545]) ).

thf(917,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( r1 @ a ) @ true @ ( ifeq @ ( m0 @ I @ H @ d ) @ true @ ( p2 @ H @ H @ d ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[544]) ).

thf(918,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( m1 @ G @ G @ F ) @ true @ ( p2 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[543]) ).

thf(919,plain,
    ( ( ( ifeq @ ( s0 @ d ) @ true @ ( ifeq @ ( k1 @ d ) @ true @ ( p2 @ d @ d @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[542]) ).

thf(920,plain,
    ( ( ! [C: $i,D: $i,E: $i] :
          ( ( ifeq @ ( p2 @ C @ D @ C ) @ true @ ( ifeq @ ( n1 @ E @ D @ E ) @ true @ ( ifeq @ ( p0 @ C @ D ) @ true @ ( p2 @ C @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[541]) ).

thf(921,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( n1 @ d @ d @ B ) @ true @ ( p2 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[540]) ).

thf(922,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( q1 @ A @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[539]) ).

thf(923,plain,
    ( ( ! [H: $i,I: $i,J: $i] :
          ( ( ifeq @ ( p2 @ e @ H @ I ) @ true @ ( ifeq @ ( k1 @ J ) @ true @ ( p2 @ H @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[538]) ).

thf(924,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( q1 @ a @ G @ F ) @ true @ ( ifeq @ ( n1 @ e @ F @ a ) @ true @ ( p2 @ F @ e @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[537]) ).

thf(925,plain,
    ( ( ! [E: $i] :
          ( ( ifeq @ ( l1 @ E @ d ) @ true @ ( p2 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[536]) ).

thf(926,plain,
    ( ( ! [B: $i,D: $i,C: $i] :
          ( ( ifeq @ ( p2 @ B @ D @ B ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q1 @ c @ B @ D ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( p2 @ B @ B @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[535]) ).

thf(927,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( k1 @ A ) @ true @ ( p2 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[534]) ).

thf(928,plain,
    ( ( ! [J: $i,H: $i,I: $i] :
          ( ( ifeq @ ( p2 @ a @ J @ H ) @ true @ ( ifeq @ ( m1 @ a @ a @ I ) @ true @ ( p2 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[533]) ).

thf(929,plain,
    ( ( ( ifeq @ ( p1 @ d @ b @ e ) @ true @ ( p2 @ d @ b @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[532]) ).

thf(930,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( q1 @ e @ c @ G ) @ true @ ( ifeq @ ( p1 @ G @ b @ b ) @ true @ ( ifeq @ ( n1 @ e @ e @ G ) @ true @ ( p2 @ b @ c @ c ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[531]) ).

thf(931,plain,
    ( ( ! [E: $i,F: $i] :
          ( ( ifeq @ ( k2 @ E @ c ) @ true @ ( ifeq @ ( q1 @ F @ c @ F ) @ true @ ( p2 @ E @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[530]) ).

thf(932,plain,
    ( ( ! [D: $i,C: $i,B: $i] :
          ( ( ifeq @ ( p2 @ D @ C @ B ) @ true @ ( ifeq @ ( r1 @ C ) @ true @ ( ifeq @ ( p0 @ B @ B ) @ true @ ( p2 @ B @ B @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[529]) ).

thf(933,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( p2 @ J @ J @ A ) @ true @ ( ifeq @ ( q1 @ J @ A @ J ) @ true @ ( p2 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[528]) ).

thf(934,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( m1 @ a @ H @ d ) @ true @ ( ifeq @ ( n0 @ H @ d ) @ true @ ( p2 @ a @ H @ d ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[527]) ).

thf(935,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( s1 @ G ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( p2 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[526]) ).

thf(936,plain,
    ( ( ( ifeq @ ( l2 @ e @ b ) @ true @ ( ifeq @ ( r1 @ e ) @ true @ ( ifeq @ ( m1 @ d @ a @ c ) @ true @ ( ifeq @ ( l1 @ e @ c ) @ true @ ( p2 @ a @ c @ b ) @ true ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[525]) ).

thf(937,plain,
    ( ( ! [E: $i,D: $i,F: $i] :
          ( ( ifeq @ ( q1 @ E @ E @ E ) @ true @ ( ifeq @ ( p1 @ D @ F @ D ) @ true @ ( p2 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[524]) ).

thf(938,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( n1 @ C @ e @ e ) @ true @ ( p2 @ C @ e @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[523]) ).

thf(939,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( n1 @ B @ B @ B ) @ true @ ( ifeq @ ( p0 @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[522]) ).

thf(940,plain,
    ( ( ( ifeq @ ( p1 @ e @ e @ a ) @ true @ ( p2 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[521]) ).

thf(941,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( r1 @ J ) @ true @ ( ifeq @ ( r0 @ I ) @ true @ ( p2 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[520]) ).

thf(942,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n2 @ H ) @ true @ ( ifeq @ ( k1 @ e ) @ true @ ( p2 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[519]) ).

thf(943,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( l1 @ G @ F ) @ true @ ( p2 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[518]) ).

thf(944,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( m1 @ E @ D @ E ) @ true @ ( p2 @ D @ E @ D ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[517]) ).

thf(945,plain,
    ( ( ! [E: $i,F: $i] :
          ( ( ifeq @ ( p1 @ E @ E @ E ) @ true @ ( ifeq @ ( k0 @ F ) @ true @ ( q2 @ E @ F @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[516]) ).

thf(946,plain,
    ( ( ! [C: $i,B: $i,D: $i] :
          ( ( ifeq @ ( n1 @ C @ B @ D ) @ true @ ( ifeq @ ( q0 @ C @ B ) @ true @ ( q2 @ B @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[515]) ).

thf(947,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( n1 @ J @ J @ A ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( q2 @ J @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[514]) ).

thf(948,plain,
    ( ( ( ifeq @ ( q2 @ d @ c @ a ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q0 @ e @ c ) @ true @ ( q2 @ d @ a @ a ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[513]) ).

thf(949,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( p1 @ I @ I @ I ) @ true @ ( q2 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[512]) ).

thf(950,plain,
    ( ( ! [G: $i,H: $i,F: $i] :
          ( ( ifeq @ ( q2 @ G @ H @ F ) @ true @ ( ifeq @ ( p1 @ F @ F @ H ) @ true @ ( ifeq @ ( n1 @ G @ F @ H ) @ true @ ( q2 @ F @ G @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[511]) ).

thf(951,plain,
    ( ( ! [E: $i,D: $i] :
          ( ( ifeq @ ( l2 @ E @ D ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( q2 @ D @ c @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[510]) ).

thf(952,plain,
    ( ( ! [C: $i,B: $i] :
          ( ( ifeq @ ( q1 @ C @ c @ B ) @ true @ ( q2 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[509]) ).

thf(953,plain,
    ( ( ! [A: $i,J: $i,I: $i] :
          ( ( ifeq @ ( q2 @ A @ A @ J ) @ true @ ( ifeq @ ( n1 @ J @ d @ A ) @ true @ ( ifeq @ ( k1 @ I ) @ true @ ( q2 @ I @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[508]) ).

thf(954,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( l1 @ H @ G ) @ true @ ( q2 @ G @ G @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[507]) ).

thf(955,plain,
    ( ( ! [D: $i,E: $i,F: $i,C: $i] :
          ( ( ifeq @ ( q2 @ D @ D @ D ) @ true @ ( ifeq @ ( r1 @ D ) @ true @ ( ifeq @ ( k0 @ D ) @ true @ ( ifeq @ ( m0 @ E @ F @ C ) @ true @ ( q2 @ C @ D @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[506]) ).

thf(956,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( r1 @ G ) @ true @ ( ifeq @ ( l0 @ G ) @ true @ ( r2 @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[505]) ).

thf(957,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( q2 @ b @ H @ b ) @ true @ ( ifeq @ ( s1 @ b ) @ true @ ( s2 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[504]) ).

thf(958,plain,
    ( ( ( ifeq @ ( s1 @ a ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( s2 @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[503]) ).

thf(959,plain,
    ( ( ( ifeq @ ( s1 @ d ) @ true @ ( ifeq @ ( r1 @ d ) @ true @ ( s2 @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[502]) ).

thf(960,plain,
    ( ( ! [B: $i,A: $i,C: $i,J: $i] :
          ( ( ifeq @ ( p2 @ B @ A @ C ) @ true @ ( ifeq @ ( s1 @ A ) @ true @ ( ifeq @ ( n0 @ J @ C ) @ true @ ( k3 @ J @ A @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[501]) ).

thf(961,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( s2 @ I ) @ true @ ( ifeq @ ( q2 @ d @ I @ d ) @ true @ ( ifeq @ ( s1 @ H ) @ true @ ( k3 @ H @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[500]) ).

thf(962,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( k2 @ G @ F ) @ true @ ( k3 @ F @ F @ G ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[499]) ).

thf(963,plain,
    ( ( ( ifeq @ ( s2 @ e ) @ true @ ( ifeq @ ( k2 @ c @ e ) @ true @ ( k3 @ c @ c @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[498]) ).

thf(964,plain,
    ( ( ! [D: $i,E: $i,C: $i] :
          ( ( ifeq @ ( p2 @ D @ E @ D ) @ true @ ( ifeq @ ( m1 @ C @ C @ E ) @ true @ ( k3 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[497]) ).

thf(965,plain,
    ( ( ! [B: $i,A: $i] :
          ( ( ifeq @ ( l2 @ B @ b ) @ true @ ( ifeq @ ( k1 @ A ) @ true @ ( k3 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[496]) ).

thf(966,plain,
    ( ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( k0 @ a ) @ true @ ( k3 @ c @ c @ c ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[495]) ).

thf(967,plain,
    ( ( ! [F: $i,G: $i,H: $i] :
          ( ( ifeq @ ( k3 @ F @ G @ G ) @ true @ ( ifeq @ ( p2 @ G @ H @ e ) @ true @ ( ifeq @ ( s1 @ G ) @ true @ ( k3 @ F @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[494]) ).

thf(968,plain,
    ( ( ! [E: $i,D: $i,C: $i,B: $i] :
          ( ( ifeq @ ( m2 @ E ) @ true @ ( ifeq @ ( m2 @ D ) @ true @ ( ifeq @ ( p1 @ C @ D @ B ) @ true @ ( k3 @ B @ B @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[493]) ).

thf(969,plain,
    ( ( ! [H: $i,A: $i,J: $i,G: $i,I: $i] :
          ( ( ifeq @ ( k3 @ H @ A @ J ) @ true @ ( ifeq @ ( k2 @ G @ J ) @ true @ ( ifeq @ ( q0 @ I @ H ) @ true @ ( k3 @ G @ G @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[492]) ).

thf(970,plain,
    ( ( ( ifeq @ ( r2 @ a ) @ true @ ( ifeq @ ( l2 @ e @ b ) @ true @ ( ifeq @ ( p1 @ a @ d @ b ) @ true @ ( k3 @ d @ d @ d ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[491]) ).

thf(971,plain,
    ( ( ( ifeq @ ( r2 @ a ) @ true @ ( k3 @ a @ a @ a ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[490]) ).

thf(972,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( p2 @ F @ E @ E ) @ true @ ( k3 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[489]) ).

thf(973,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( p2 @ D @ C @ C ) @ true @ ( k3 @ C @ D @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[488]) ).

thf(974,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( l1 @ b @ I ) @ true @ ( k3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[487]) ).

thf(975,plain,
    ( ( ! [G: $i,H: $i,E: $i,F: $i] :
          ( ( ifeq @ ( k3 @ G @ H @ G ) @ true @ ( ifeq @ ( s2 @ E ) @ true @ ( ifeq @ ( m2 @ F ) @ true @ ( ifeq @ ( l1 @ G @ H ) @ true @ ( k3 @ E @ E @ E ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[486]) ).

thf(976,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( n2 @ D ) @ true @ ( k3 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[485]) ).

thf(977,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( r2 @ e ) @ true @ ( ifeq @ ( l0 @ C ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( k3 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[484]) ).

thf(978,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( m2 @ B ) @ true @ ( k3 @ B @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[483]) ).

thf(979,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( p2 @ J @ A @ A ) @ true @ ( ifeq @ ( r1 @ I ) @ true @ ( k3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[482]) ).

thf(980,plain,
    ( ( ( ifeq @ ( r2 @ c ) @ true @ ( k3 @ c @ c @ c ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[481]) ).

thf(981,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( p2 @ G @ H @ G ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( l3 @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[480]) ).

thf(982,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p2 @ E @ F @ D ) @ true @ ( ifeq @ ( p1 @ D @ D @ E ) @ true @ ( l3 @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[479]) ).

thf(983,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( n2 @ C ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( l3 @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[478]) ).

thf(984,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( r2 @ B ) @ true @ ( l3 @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[477]) ).

thf(985,plain,
    ( ( ! [A: $i,J: $i,I: $i] :
          ( ( ifeq @ ( l3 @ A @ A ) @ true @ ( ifeq @ ( n2 @ J ) @ true @ ( ifeq @ ( l1 @ A @ I ) @ true @ ( l3 @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[476]) ).

thf(986,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( s2 @ H ) @ true @ ( ifeq @ ( l1 @ G @ G ) @ true @ ( l3 @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[475]) ).

thf(987,plain,
    ( ( ( ifeq @ ( k2 @ a @ d ) @ true @ ( l3 @ d @ d ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[474]) ).

thf(988,plain,
    ( ( ! [E: $i,D: $i,F: $i] :
          ( ( ifeq @ ( k3 @ E @ D @ D ) @ true @ ( ifeq @ ( l2 @ F @ F ) @ true @ ( l3 @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[473]) ).

thf(989,plain,
    ( ( ( ifeq @ ( k2 @ b @ c ) @ true @ ( l3 @ c @ c ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[472]) ).

thf(990,plain,
    ( ( ( ifeq @ ( k3 @ a @ c @ a ) @ true @ ( ifeq @ ( s2 @ d ) @ true @ ( ifeq @ ( r0 @ b ) @ true @ ( l3 @ d @ c ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[471]) ).

thf(991,plain,
    ( ( ! [B: $i,C: $i,J: $i,A: $i] :
          ( ( ifeq @ ( s2 @ B ) @ true @ ( ifeq @ ( l2 @ C @ J ) @ true @ ( ifeq @ ( m0 @ B @ B @ A ) @ true @ ( ifeq @ ( m0 @ J @ C @ C ) @ true @ ( m3 @ J @ A @ J ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[470]) ).

thf(992,plain,
    ( ( ! [G: $i,I: $i,H: $i] :
          ( ( ifeq @ ( m3 @ G @ I @ G ) @ true @ ( ifeq @ ( l2 @ a @ a ) @ true @ ( ifeq @ ( k2 @ H @ I ) @ true @ ( ifeq @ ( n0 @ I @ a ) @ true @ ( m3 @ G @ G @ G ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[469]) ).

thf(993,plain,
    ( ( ! [E: $i,C: $i,D: $i,F: $i] :
          ( ( ifeq @ ( s2 @ E ) @ true @ ( ifeq @ ( r2 @ C ) @ true @ ( ifeq @ ( q0 @ D @ E ) @ true @ ( ifeq @ ( s0 @ F ) @ true @ ( m3 @ C @ C @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[468]) ).

thf(994,plain,
    ( ( ! [B: $i,J: $i,A: $i] :
          ( ( ifeq @ ( m3 @ B @ J @ B ) @ true @ ( ifeq @ ( n2 @ J ) @ true @ ( ifeq @ ( m2 @ A ) @ true @ ( m3 @ J @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[467]) ).

thf(995,plain,
    ( ( ( ifeq @ ( q2 @ a @ b @ a ) @ true @ ( m3 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[466]) ).

thf(996,plain,
    ( ( ( ifeq @ ( q2 @ b @ c @ d ) @ true @ ( ifeq @ ( m2 @ d ) @ true @ ( ifeq @ ( l1 @ d @ b ) @ true @ ( m3 @ c @ b @ d ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[465]) ).

thf(997,plain,
    ( ( ! [H: $i,I: $i] :
          ( ( ifeq @ ( r2 @ H ) @ true @ ( ifeq @ ( k2 @ c @ I ) @ true @ ( m3 @ H @ I @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[464]) ).

thf(998,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( n2 @ G ) @ true @ ( ifeq @ ( l2 @ G @ G ) @ true @ ( m3 @ G @ G @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[463]) ).

thf(999,plain,
    ( ( ! [E: $i,F: $i] :
          ( ( ifeq @ ( n2 @ E ) @ true @ ( ifeq @ ( m2 @ F ) @ true @ ( m3 @ E @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[462]) ).

thf(1000,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( p2 @ D @ e @ e ) @ true @ ( ifeq @ ( n2 @ e ) @ true @ ( m3 @ D @ e @ e ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[461]) ).

thf(1001,plain,
    ( ( ! [B: $i,C: $i] :
          ( ( ifeq @ ( k3 @ B @ C @ B ) @ true @ ( ifeq @ ( r2 @ C ) @ true @ ( m3 @ B @ B @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[460]) ).

thf(1002,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( n2 @ A ) @ true @ ( m3 @ A @ A @ A ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[459]) ).

thf(1003,plain,
    ( ( ! [J: $i] :
          ( ( ifeq @ ( s2 @ c ) @ true @ ( ifeq @ ( q2 @ J @ c @ c ) @ true @ ( m3 @ J @ c @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[458]) ).

thf(1004,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( p2 @ I @ I @ I ) @ true @ ( m3 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[457]) ).

thf(1005,plain,
    ( ( ( ifeq @ ( l2 @ a @ b ) @ true @ ( m3 @ b @ b @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[456]) ).

thf(1006,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( p2 @ E @ F @ D ) @ true @ ( n3 @ D ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[455]) ).

thf(1007,plain,
    ( ( ! [F: $i,C: $i,D: $i,E: $i] :
          ( ( ifeq @ ( q2 @ F @ d @ C ) @ true @ ( ifeq @ ( k2 @ D @ E ) @ true @ ( p3 @ C @ D @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[454]) ).

thf(1008,plain,
    ( ( ! [A: $i,B: $i,J: $i] :
          ( ( ifeq @ ( k3 @ A @ B @ J ) @ true @ ( ifeq @ ( r2 @ A ) @ true @ ( p3 @ J @ A @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[453]) ).

thf(1009,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( n3 @ I ) @ true @ ( ifeq @ ( l3 @ b @ e ) @ true @ ( ifeq @ ( q2 @ I @ d @ I ) @ true @ ( ifeq @ ( p2 @ d @ b @ c ) @ true @ ( p3 @ I @ d @ e ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[452]) ).

thf(1010,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n2 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[451]) ).

thf(1011,plain,
    ( ( ! [G: $i,F: $i,E: $i] :
          ( ( ifeq @ ( p3 @ G @ G @ F ) @ true @ ( ifeq @ ( l3 @ F @ E ) @ true @ ( ifeq @ ( l1 @ F @ F ) @ true @ ( p3 @ E @ E @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[450]) ).

thf(1012,plain,
    ( ( ! [D: $i] :
          ( ( ifeq @ ( l2 @ D @ D ) @ true @ ( p3 @ D @ D @ D ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[449]) ).

thf(1013,plain,
    ( ( ! [B: $i,C: $i,A: $i] :
          ( ( ifeq @ ( q2 @ B @ C @ A ) @ true @ ( ifeq @ ( n2 @ A ) @ true @ ( ifeq @ ( s1 @ B ) @ true @ ( p3 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[448]) ).

thf(1014,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( n3 @ I ) @ true @ ( ifeq @ ( p2 @ J @ I @ I ) @ true @ ( p3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[447]) ).

thf(1015,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( n2 @ H ) @ true @ ( ifeq @ ( k1 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[446]) ).

thf(1016,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( q2 @ F @ G @ E ) @ true @ ( ifeq @ ( k1 @ E ) @ true @ ( p3 @ E @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[445]) ).

thf(1017,plain,
    ( ( ! [B: $i,C: $i,D: $i,A: $i] :
          ( ( ifeq @ ( m3 @ B @ C @ D ) @ true @ ( ifeq @ ( p2 @ A @ B @ D ) @ true @ ( p3 @ A @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[444]) ).

thf(1018,plain,
    ( ( ! [J: $i,I: $i,H: $i] :
          ( ( ifeq @ ( k2 @ J @ J ) @ true @ ( ifeq @ ( q0 @ I @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[443]) ).

thf(1019,plain,
    ( ( ( ifeq @ ( k2 @ c @ b ) @ true @ ( p3 @ b @ c @ b ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[442]) ).

thf(1020,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( m3 @ e @ G @ e ) @ true @ ( ifeq @ ( q2 @ G @ G @ b ) @ true @ ( p3 @ e @ b @ e ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[441]) ).

thf(1021,plain,
    ( ( ! [I: $i,G: $i,H: $i] :
          ( ( ifeq @ ( q2 @ I @ G @ H ) @ true @ ( ifeq @ ( n0 @ I @ G ) @ true @ ( q3 @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[440]) ).

thf(1022,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( q3 @ F @ E ) @ true @ ( ifeq @ ( p2 @ F @ E @ E ) @ true @ ( q3 @ E @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[439]) ).

thf(1023,plain,
    ( ( ! [C: $i,B: $i,D: $i] :
          ( ( ifeq @ ( q3 @ C @ B ) @ true @ ( ifeq @ ( s2 @ B ) @ true @ ( ifeq @ ( n1 @ D @ B @ C ) @ true @ ( q3 @ B @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[438]) ).

thf(1024,plain,
    ( ( ! [I: $i,A: $i,J: $i] :
          ( ( ifeq @ ( r2 @ I ) @ true @ ( ifeq @ ( l2 @ A @ A ) @ true @ ( ifeq @ ( s1 @ J ) @ true @ ( q3 @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[437]) ).

thf(1025,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( q3 @ H @ G ) @ true @ ( ifeq @ ( r2 @ d ) @ true @ ( ifeq @ ( m0 @ H @ d @ H ) @ true @ ( ifeq @ ( k1 @ G ) @ true @ ( q3 @ G @ G ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[436]) ).

thf(1026,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( s2 @ H ) @ true @ ( ifeq @ ( l2 @ c @ G ) @ true @ ( r3 @ G @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[435]) ).

thf(1027,plain,
    ( ( ! [D: $i,F: $i,E: $i] :
          ( ( ifeq @ ( r2 @ D ) @ true @ ( ifeq @ ( n1 @ F @ F @ F ) @ true @ ( ifeq @ ( l1 @ E @ F ) @ true @ ( r3 @ D @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[434]) ).

thf(1028,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ ( r3 @ A @ B @ A ) @ true @ ( ifeq @ ( l2 @ C @ B ) @ true @ ( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( r3 @ A @ A @ A ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[433]) ).

thf(1029,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( ifeq @ ( r3 @ I @ I @ J ) @ true @ ( ifeq @ ( m0 @ d @ J @ I ) @ true @ ( r3 @ I @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[432]) ).

thf(1030,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( s2 @ H ) @ true @ ( r3 @ H @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[431]) ).

thf(1031,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( ifeq @ ( l2 @ G @ F ) @ true @ ( r3 @ F @ F @ F ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[430]) ).

thf(1032,plain,
    ( ( ! [E: $i] :
          ( ( ifeq @ ( r2 @ E ) @ true @ ( r3 @ E @ E @ E ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[429]) ).

thf(1033,plain,
    ( ( ! [B: $i,D: $i,C: $i] :
          ( ( ifeq @ ( p2 @ B @ D @ C ) @ true @ ( r3 @ B @ C @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[428]) ).

thf(1034,plain,
    ( ( ! [I: $i,A: $i,J: $i,H: $i] :
          ( ( ifeq @ ( r3 @ I @ A @ A ) @ true @ ( ifeq @ ( m3 @ J @ b @ H ) @ true @ ( ifeq @ ( m2 @ I ) @ true @ ( r3 @ H @ H @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[427]) ).

thf(1035,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( m3 @ a @ G @ G ) @ true @ ( ifeq @ ( q2 @ G @ e @ G ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( ifeq @ ( k2 @ a @ a ) @ true @ ( r3 @ a @ a @ e ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[426]) ).

thf(1036,plain,
    ( ( ! [F: $i] :
          ( ( ifeq @ ( p2 @ b @ F @ b ) @ true @ ( ifeq @ ( l2 @ F @ F ) @ true @ ( ifeq @ ( r0 @ F ) @ true @ ( r3 @ F @ b @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[425]) ).

thf(1037,plain,
    ( ( ! [D: $i,C: $i,E: $i] :
          ( ( ifeq @ ( r3 @ D @ D @ D ) @ true @ ( ifeq @ ( p3 @ D @ C @ E ) @ true @ ( r3 @ C @ C @ C ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[424]) ).

thf(1038,plain,
    ( ( ! [B: $i,J: $i,A: $i] :
          ( ( ifeq @ ( r3 @ B @ J @ J ) @ true @ ( ifeq @ ( r2 @ B ) @ true @ ( ifeq @ ( k2 @ A @ B ) @ true @ ( r3 @ J @ A @ B ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[423]) ).

thf(1039,plain,
    ( ( ! [I: $i,A: $i,B: $i,J: $i] :
          ( ( ifeq @ ( s2 @ I ) @ true @ ( ifeq @ ( q2 @ A @ I @ A ) @ true @ ( ifeq @ ( m0 @ A @ B @ J ) @ true @ ( s3 @ I @ J ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[422]) ).

thf(1040,plain,
    ( ( ( ifeq @ ( q3 @ e @ b ) @ true @ ( ifeq @ ( n3 @ e ) @ true @ ( ifeq @ ( n0 @ c @ d ) @ true @ ( k4 @ c ) @ true ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[421]) ).

thf(1041,plain,
    ( ( ! [C: $i,D: $i] :
          ( ( ifeq @ ( r3 @ C @ e @ D ) @ true @ ( ifeq @ ( q3 @ C @ C ) @ true @ ( ifeq @ ( q1 @ a @ a @ D ) @ true @ ( k4 @ e ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[420]) ).

thf(1042,plain,
    ( ( ! [A: $i,B: $i,J: $i] :
          ( ( ifeq @ ( p3 @ A @ B @ J ) @ true @ ( l4 @ J ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[419]) ).

thf(1043,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( l4 @ I ) @ true @ ( ifeq @ ( m0 @ I @ H @ H ) @ true @ ( l4 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[418]) ).

thf(1044,plain,
    ( ( ! [E: $i,G: $i,F: $i] :
          ( ( ifeq @ ( s3 @ a @ E ) @ true @ ( ifeq @ ( l2 @ G @ F ) @ true @ ( m4 @ E @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[417]) ).

thf(1045,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( n4 @ J @ J ) @ true @ ( ifeq @ ( p3 @ J @ A @ A ) @ true @ ( n4 @ J @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[416]) ).

thf(1046,plain,
    ( ( ( ifeq @ ( k3 @ c @ c @ e ) @ true @ ( ifeq @ ( q1 @ d @ d @ d ) @ true @ ( n4 @ d @ d ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[415]) ).

thf(1047,plain,
    ( ( ( ifeq @ ( p3 @ b @ e @ a ) @ true @ ( ifeq @ ( l3 @ b @ a ) @ true @ ( n4 @ e @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[414]) ).

thf(1048,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( k4 @ I ) @ true @ ( ifeq @ ( m3 @ H @ H @ H ) @ true @ ( n4 @ H @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[413]) ).

thf(1049,plain,
    ( ( ! [H: $i,G: $i] :
          ( ( ifeq @ ( r3 @ H @ G @ H ) @ true @ ( ifeq @ ( r0 @ G ) @ true @ ( p4 @ G @ G @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[412]) ).

thf(1050,plain,
    ( ( ! [E: $i,F: $i,D: $i] :
          ( ( ifeq @ ( q3 @ E @ F ) @ true @ ( ifeq @ ( n3 @ D ) @ true @ ( p4 @ D @ D @ D ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[411]) ).

thf(1051,plain,
    ( ( ! [B: $i,C: $i] :
          ( ( ifeq @ ( k3 @ B @ B @ C ) @ true @ ( p4 @ B @ C @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[410]) ).

thf(1052,plain,
    ( ( ! [J: $i,A: $i,I: $i,H: $i] :
          ( ( ifeq @ ( p4 @ J @ J @ A ) @ true @ ( ifeq @ ( r3 @ I @ I @ H ) @ true @ ( p4 @ H @ I @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[409]) ).

thf(1053,plain,
    ( ( ! [F: $i,G: $i,D: $i,E: $i] :
          ( ( ifeq @ ( p4 @ F @ G @ F ) @ true @ ( ifeq @ ( l4 @ D ) @ true @ ( ifeq @ ( n0 @ D @ E ) @ true @ ( p4 @ D @ D @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[408]) ).

thf(1054,plain,
    ( ( ! [A: $i,C: $i,B: $i] :
          ( ( ifeq @ ( p4 @ A @ C @ A ) @ true @ ( ifeq @ ( m3 @ B @ C @ A ) @ true @ ( p4 @ A @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[407]) ).

thf(1055,plain,
    ( ( ! [J: $i,I: $i] :
          ( ( ifeq @ ( p3 @ J @ J @ I ) @ true @ ( p4 @ I @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[406]) ).

thf(1056,plain,
    ( ( ! [F: $i,H: $i,G: $i] :
          ( ( ifeq @ ( n4 @ F @ H ) @ true @ ( ifeq @ ( k3 @ G @ H @ H ) @ true @ ( ifeq @ ( p1 @ H @ G @ F ) @ true @ ( p4 @ F @ F @ F ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[405]) ).

thf(1057,plain,
    ( ( ! [E: $i,C: $i,D: $i] :
          ( ( ifeq @ ( n4 @ E @ C ) @ true @ ( ifeq @ ( q3 @ D @ E ) @ true @ ( ifeq @ ( l3 @ D @ D ) @ true @ ( p4 @ C @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[404]) ).

thf(1058,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( n3 @ a ) @ true @ ( ifeq @ ( m3 @ B @ c @ a ) @ true @ ( p4 @ c @ c @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[403]) ).

thf(1059,plain,
    ( ( ! [E: $i,F: $i,D: $i,B: $i,C: $i] :
          ( ( ifeq @ ( m3 @ E @ F @ E ) @ true @ ( ifeq @ ( k3 @ D @ D @ B ) @ true @ ( ifeq @ ( q2 @ E @ C @ B ) @ true @ ( q4 @ B @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[402]) ).

thf(1060,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( q4 @ J @ A ) @ true @ ( ifeq @ ( l4 @ J ) @ true @ ( ifeq @ ( r1 @ I ) @ true @ ( q4 @ I @ I ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[401]) ).

thf(1061,plain,
    ( ( ( ifeq @ ( k3 @ c @ e @ b ) @ true @ ( ifeq @ ( l1 @ b @ c ) @ true @ ( q4 @ b @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[400]) ).

thf(1062,plain,
    ( ( ! [H: $i,I: $i,G: $i,J: $i] :
          ( ( ifeq @ ( q3 @ H @ I ) @ true @ ( ifeq @ ( n3 @ G ) @ true @ ( ifeq @ ( p0 @ J @ G ) @ true @ ( r4 @ G ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[399]) ).

thf(1063,plain,
    ( ( ! [B: $i,C: $i,D: $i,A: $i] :
          ( ( ifeq @ ( p3 @ B @ C @ D ) @ true @ ( ifeq @ ( l1 @ A @ C ) @ true @ ( s4 @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[398]) ).

thf(1064,plain,
    ( ( ! [F: $i,G: $i,E: $i] :
          ( ( ifeq @ ( s4 @ F ) @ true @ ( ifeq @ ( r3 @ G @ E @ E ) @ true @ ( k5 @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[397]) ).

thf(1065,plain,
    ( ( ( ifeq @ ( s4 @ e ) @ true @ ( ifeq @ ( n1 @ b @ b @ b ) @ true @ ( k5 @ b ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[396]) ).

thf(1066,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( q4 @ I @ I ) @ true @ ( ifeq @ ( k1 @ H ) @ true @ ( l5 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[395]) ).

thf(1067,plain,
    ( ( ! [D: $i,F: $i,E: $i] :
          ( ( ifeq @ ( p4 @ D @ F @ E ) @ true @ ( ifeq @ ( r0 @ D ) @ true @ ( m5 @ D @ E ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[394]) ).

thf(1068,plain,
    ( ( ! [C: $i] :
          ( ( ifeq @ ( k4 @ C ) @ true @ ( m5 @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[393]) ).

thf(1069,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( s4 @ B ) @ true @ ( ifeq @ ( m4 @ e @ e ) @ true @ ( m5 @ B @ B ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[392]) ).

thf(1070,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( s4 @ A ) @ true @ ( ifeq @ ( r0 @ J ) @ true @ ( m5 @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[391]) ).

thf(1071,plain,
    ( ( ! [F: $i,C: $i,D: $i,E: $i,B: $i] :
          ( ( ifeq @ ( n5 @ F @ C ) @ true @ ( ifeq @ ( q4 @ D @ E ) @ true @ ( ifeq @ ( p4 @ F @ F @ C ) @ true @ ( ifeq @ ( n4 @ B @ E ) @ true @ ( n5 @ B @ C ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[390]) ).

thf(1072,plain,
    ( ( ! [A: $i,J: $i] :
          ( ( ifeq @ ( n5 @ A @ J ) @ true @ ( ifeq @ ( m0 @ A @ J @ A ) @ true @ ( n5 @ J @ J ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[389]) ).

thf(1073,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( n4 @ I @ H ) @ true @ ( n5 @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[388]) ).

thf(1074,plain,
    ( ( ! [G: $i,E: $i,F: $i] :
          ( ( ifeq @ ( k5 @ d ) @ true @ ( ifeq @ ( m4 @ G @ G ) @ true @ ( ifeq @ ( p0 @ E @ F ) @ true @ ( n5 @ E @ E ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[387]) ).

thf(1075,plain,
    ( ( ( ifeq @ ( p4 @ c @ d @ c ) @ true @ ( n5 @ d @ d ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[386]) ).

thf(1076,plain,
    ( ( ( ifeq @ ( n4 @ b @ e ) @ true @ ( ifeq @ ( r3 @ d @ b @ c ) @ true @ ( n5 @ b @ e ) @ true ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[385]) ).

thf(1077,plain,
    ( ( ! [D: $i,C: $i] :
          ( ( ifeq @ ( q4 @ D @ C ) @ true @ ( n5 @ C @ C ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[384]) ).

thf(1078,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( r4 @ B ) @ true @ ( n5 @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[383]) ).

thf(1079,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( k4 @ A ) @ true @ ( ifeq @ ( s1 @ A ) @ true @ ( n5 @ A @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[382]) ).

thf(1080,plain,
    ( ( ! [J: $i,I: $i,H: $i] :
          ( ( ifeq @ ( p4 @ b @ b @ J ) @ true @ ( ifeq @ ( p4 @ I @ H @ H ) @ true @ ( ifeq @ ( s1 @ H ) @ true @ ( n5 @ H @ H ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[381]) ).

thf(1081,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( n4 @ G @ d ) @ true @ ( ifeq @ ( k3 @ d @ G @ a ) @ true @ ( n5 @ d @ G ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[380]) ).

thf(1082,plain,
    ( ( ! [F: $i,E: $i] :
          ( ( ifeq @ ( s4 @ F ) @ true @ ( ifeq @ ( l2 @ E @ E ) @ true @ ( p5 @ E @ E @ F ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[379]) ).

thf(1083,plain,
    ( ( ! [B: $i,D: $i,C: $i] :
          ( ( ifeq @ ( p5 @ B @ D @ B ) @ true @ ( ifeq @ ( m4 @ D @ C ) @ true @ ( ifeq @ ( l2 @ B @ D ) @ true @ ( p5 @ B @ C @ C ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[378]) ).

thf(1084,plain,
    ( ( ! [J: $i,A: $i,I: $i] :
          ( ( ifeq @ ( q4 @ J @ A ) @ true @ ( ifeq @ ( s1 @ I ) @ true @ ( p5 @ I @ J @ I ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[377]) ).

thf(1085,plain,
    ( ( ! [G: $i,H: $i] :
          ( ( ifeq @ ( k5 @ b ) @ true @ ( ifeq @ ( p4 @ G @ G @ H ) @ true @ ( p5 @ b @ b @ b ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(1086,plain,
    ( ( ! [J: $i,A: $i] :
          ( ( ifeq @ ( s4 @ J ) @ true @ ( ifeq @ ( m2 @ A ) @ true @ ( q5 @ J @ A ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(1087,plain,
    ( ( ( ifeq @ ( r4 @ a ) @ true @ ( q5 @ a @ a ) @ true )
      = true )
    = $true ),
    inference(copy,[status(thm)],[374]) ).

thf(1088,plain,
    ( ( ! [I: $i] :
          ( ( ifeq @ ( l4 @ I ) @ true @ ( q5 @ I @ I ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[373]) ).

thf(1089,plain,
    ( ( ! [H: $i] :
          ( ( ifeq @ ( q4 @ H @ H ) @ true @ ( q5 @ H @ H ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[372]) ).

thf(1090,plain,
    ( ( ! [G: $i] :
          ( ( ifeq @ ( m4 @ G @ G ) @ true @ ( q5 @ G @ G ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[371]) ).

thf(1091,plain,
    ( ( ! [C: $i,D: $i] :
          ( ( ifeq @ ( s4 @ C ) @ true @ ( ifeq @ ( n3 @ D ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( r5 @ C @ D ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[370]) ).

thf(1092,plain,
    ( ( ! [B: $i] :
          ( ( ifeq @ ( k4 @ B ) @ true @ ( r5 @ B @ B ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[369]) ).

thf(1093,plain,
    ( ( ! [I: $i,H: $i] :
          ( ( ifeq @ ( r4 @ I ) @ true @ ( ifeq @ ( l4 @ H ) @ true @ ( s5 @ H ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[368]) ).

thf(1094,plain,
    ( ( ! [G: $i,E: $i,F: $i] :
          ( ( ifeq @ ( s5 @ G ) @ true @ ( ifeq @ ( l5 @ G ) @ true @ ( ifeq @ ( k4 @ E ) @ true @ ( ifeq @ ( s3 @ E @ F ) @ true @ ( s5 @ E ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[367]) ).

thf(1095,plain,
    ( ( ~ $false ) = $true ),
    inference(copy,[status(thm)],[730]) ).

thf(1096,plain,
    ( ( ( k5 @ b )
      = true )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(1097,plain,
    ! [SV1: $i] :
      ( ( ! [SY616: $i,SY617: $i] :
            ( ( ifeq @ SV1 @ SV1 @ SY616 @ SY617 )
            = SY616 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[733]) ).

thf(1098,plain,
    ! [SV2: $i] :
      ( ( ( m0 @ a @ SV2 @ a )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[745]) ).

thf(1099,plain,
    ! [SV3: $i] :
      ( ( ( p0 @ b @ SV3 )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[747]) ).

thf(1100,plain,
    ! [SV4: $i] :
      ( ( ( q0 @ SV4 @ d )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[750]) ).

thf(1101,plain,
    ! [SV5: $i] :
      ( ( ! [SY618: $i] :
            ( ( m0 @ SV5 @ d @ SY618 )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[752]) ).

thf(1102,plain,
    ! [SV6: $i] :
      ( ( ! [SY619: $i] :
            ( ( ifeq @ ( n0 @ SV6 @ SY619 ) @ true @ ( k1 @ SY619 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[772]) ).

thf(1103,plain,
    ! [SV7: $i] :
      ( ( ! [SY620: $i] :
            ( ( ifeq @ ( n0 @ SV7 @ SY620 ) @ true @ ( l1 @ SY620 @ SY620 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[773]) ).

thf(1104,plain,
    ! [SV8: $i] :
      ( ( ! [SY621: $i,SY622: $i,SY623: $i] :
            ( ( ifeq @ ( p0 @ SV8 @ SY621 ) @ true @ ( ifeq @ ( r0 @ SY622 ) @ true @ ( ifeq @ ( m0 @ SY623 @ SY621 @ SV8 ) @ true @ ( l1 @ SY621 @ SY623 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[774]) ).

thf(1105,plain,
    ! [SV9: $i] :
      ( ( ! [SY624: $i] :
            ( ( ifeq @ ( l0 @ SV9 ) @ true @ ( ifeq @ ( l1 @ SV9 @ SV9 ) @ true @ ( ifeq @ ( k1 @ SY624 ) @ true @ ( l1 @ SY624 @ SY624 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[775]) ).

thf(1106,plain,
    ! [SV10: $i] :
      ( ( ! [SY625: $i] :
            ( ( ifeq @ ( m0 @ SV10 @ SV10 @ SY625 ) @ true @ ( m1 @ SY625 @ SV10 @ SY625 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[776]) ).

thf(1107,plain,
    ! [SV11: $i] :
      ( ( ! [SY626: $i] :
            ( ( ifeq @ ( m0 @ SV11 @ SV11 @ SY626 ) @ true @ ( m1 @ SY626 @ SY626 @ SY626 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[777]) ).

thf(1108,plain,
    ! [SV12: $i] :
      ( ( ! [SY627: $i,SY628: $i] :
            ( ( ifeq @ ( p0 @ SV12 @ SY627 ) @ true @ ( ifeq @ ( r0 @ SY628 ) @ true @ ( m1 @ SY628 @ SY627 @ SY628 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[778]) ).

thf(1109,plain,
    ! [SV13: $i] :
      ( ( ! [SY629: $i,SY630: $i] :
            ( ( ifeq @ ( r0 @ SV13 ) @ true @ ( ifeq @ ( q0 @ SY629 @ SY630 ) @ true @ ( ifeq @ ( s0 @ SV13 ) @ true @ ( m1 @ SY630 @ SY630 @ SY630 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[780]) ).

thf(1110,plain,
    ! [SV14: $i] :
      ( ( ! [SY631: $i] :
            ( ( ifeq @ ( p0 @ SV14 @ SY631 ) @ true @ ( ifeq @ ( l1 @ c @ c ) @ true @ ( ifeq @ ( n0 @ SV14 @ SV14 ) @ true @ ( m1 @ SY631 @ SY631 @ c ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[781]) ).

thf(1111,plain,
    ! [SV15: $i] :
      ( ( ! [SY632: $i] :
            ( ( ifeq @ ( k0 @ SV15 ) @ true @ ( ifeq @ ( n0 @ SY632 @ SY632 ) @ true @ ( m1 @ SV15 @ SV15 @ SY632 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[782]) ).

thf(1112,plain,
    ! [SV16: $i] :
      ( ( ! [SY633: $i] :
            ( ( ifeq @ ( q0 @ SV16 @ SY633 ) @ true @ ( m1 @ SY633 @ SY633 @ SY633 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[784]) ).

thf(1113,plain,
    ! [SV17: $i] :
      ( ( ! [SY634: $i,SY635: $i] :
            ( ( ifeq @ ( m0 @ SV17 @ SY634 @ SY635 ) @ true @ ( m1 @ SY635 @ SY635 @ SY635 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[785]) ).

thf(1114,plain,
    ! [SV18: $i] :
      ( ( ! [SY636: $i,SY637: $i] :
            ( ( ifeq @ ( l0 @ SV18 ) @ true @ ( ifeq @ ( m0 @ SY636 @ SY636 @ SY637 ) @ true @ ( m1 @ SY637 @ SY636 @ SY636 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[786]) ).

thf(1115,plain,
    ! [SV19: $i] :
      ( ( ! [SY638: $i,SY639: $i,SY640: $i] :
            ( ( ifeq @ ( m1 @ SV19 @ SY638 @ SY639 ) @ true @ ( ifeq @ ( m1 @ SV19 @ SY639 @ SY640 ) @ true @ ( m1 @ SY640 @ SY639 @ SY639 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[787]) ).

thf(1116,plain,
    ! [SV20: $i] :
      ( ( ! [SY641: $i] :
            ( ( ifeq @ ( q0 @ SV20 @ d ) @ true @ ( ifeq @ ( s0 @ SY641 ) @ true @ ( m1 @ SY641 @ SY641 @ SY641 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[788]) ).

thf(1117,plain,
    ! [SV21: $i] :
      ( ( ! [SY642: $i,SY643: $i] :
            ( ( ifeq @ ( q0 @ SV21 @ SY642 ) @ true @ ( ifeq @ ( q0 @ SV21 @ SY643 ) @ true @ ( m1 @ SY643 @ SY643 @ SY643 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[789]) ).

thf(1118,plain,
    ! [SV22: $i] :
      ( ( ! [SY644: $i] :
            ( ( ifeq @ ( p0 @ SV22 @ SY644 ) @ true @ ( ifeq @ ( r0 @ c ) @ true @ ( ifeq @ ( q0 @ SY644 @ d ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ SV22 @ SY644 @ c ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[790]) ).

thf(1119,plain,
    ! [SV23: $i] :
      ( ( ! [SY645: $i] :
            ( ( ifeq @ ( k0 @ SV23 ) @ true @ ( ifeq @ ( l0 @ SY645 ) @ true @ ( m1 @ SY645 @ SV23 @ SY645 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[792]) ).

thf(1120,plain,
    ! [SV24: $i] :
      ( ( ! [SY646: $i,SY647: $i] :
            ( ( ifeq @ ( m1 @ SV24 @ c @ SV24 ) @ true @ ( ifeq @ ( m0 @ a @ SY646 @ a ) @ true @ ( ifeq @ ( q0 @ SY647 @ SV24 ) @ true @ ( m1 @ SY647 @ a @ SV24 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[795]) ).

thf(1121,plain,
    ! [SV25: $i] :
      ( ( ! [SY648: $i,SY649: $i] :
            ( ( ifeq @ ( m0 @ SV25 @ SY648 @ SY649 ) @ true @ ( m1 @ SY649 @ SY649 @ SY649 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[796]) ).

thf(1122,plain,
    ! [SV26: $i] :
      ( ( ! [SY650: $i] :
            ( ( ifeq @ ( l0 @ SV26 ) @ true @ ( ifeq @ ( l0 @ SY650 ) @ true @ ( ifeq @ ( p0 @ SV26 @ d ) @ true @ ( m1 @ SY650 @ SY650 @ SY650 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[797]) ).

thf(1123,plain,
    ! [SV27: $i] :
      ( ( ( ifeq @ ( k0 @ SV27 ) @ true @ ( ifeq @ ( l0 @ SV27 ) @ true @ ( ifeq @ ( m0 @ SV27 @ SV27 @ SV27 ) @ true @ ( m1 @ SV27 @ SV27 @ SV27 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[799]) ).

thf(1124,plain,
    ! [SV28: $i] :
      ( ( ! [SY651: $i] :
            ( ( ifeq @ ( p0 @ SV28 @ SY651 ) @ true @ ( ifeq @ ( s0 @ SV28 ) @ true @ ( m1 @ SV28 @ SY651 @ SV28 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[800]) ).

thf(1125,plain,
    ! [SV29: $i] :
      ( ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( ifeq @ ( r0 @ SV29 ) @ true @ ( ifeq @ ( m0 @ a @ e @ c ) @ true @ ( m1 @ c @ a @ c ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[802]) ).

thf(1126,plain,
    ! [SV30: $i] :
      ( ( ( ifeq @ ( s0 @ SV30 ) @ true @ ( m1 @ SV30 @ SV30 @ SV30 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[803]) ).

thf(1127,plain,
    ! [SV31: $i] :
      ( ( ! [SY652: $i,SY653: $i] :
            ( ( ifeq @ ( m1 @ SV31 @ SY652 @ SY653 ) @ true @ ( ifeq @ ( q0 @ SY652 @ SY652 ) @ true @ ( m1 @ SY653 @ SY653 @ SY653 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[804]) ).

thf(1128,plain,
    ! [SV32: $i] :
      ( ( ! [SY654: $i] :
            ( ( ifeq @ ( q0 @ SV32 @ SV32 ) @ true @ ( ifeq @ ( k1 @ a ) @ true @ ( ifeq @ ( k1 @ SY654 ) @ true @ ( m1 @ SV32 @ SY654 @ SY654 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[805]) ).

thf(1129,plain,
    ! [SV33: $i] :
      ( ( ! [SY655: $i] :
            ( ( ifeq @ ( l0 @ SV33 ) @ true @ ( ifeq @ ( r0 @ SY655 ) @ true @ ( m1 @ SY655 @ SV33 @ SY655 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[806]) ).

thf(1130,plain,
    ! [SV34: $i] :
      ( ( ! [SY656: $i] :
            ( ( ifeq @ ( m0 @ b @ SV34 @ SY656 ) @ true @ ( n1 @ SY656 @ SY656 @ SV34 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[807]) ).

thf(1131,plain,
    ! [SV35: $i] :
      ( ( ! [SY657: $i,SY658: $i] :
            ( ( ifeq @ ( l0 @ SV35 ) @ true @ ( ifeq @ ( p0 @ SY657 @ SY658 ) @ true @ ( ifeq @ ( r0 @ SY658 ) @ true @ ( n1 @ SY658 @ SV35 @ SY658 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[808]) ).

thf(1132,plain,
    ! [SV36: $i] :
      ( ( ( ifeq @ ( q0 @ a @ SV36 ) @ true @ ( ifeq @ ( n0 @ SV36 @ SV36 ) @ true @ ( n1 @ SV36 @ SV36 @ SV36 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[809]) ).

thf(1133,plain,
    ! [SV37: $i] :
      ( ( ! [SY659: $i] :
            ( ( ifeq @ ( m0 @ SV37 @ SY659 @ c ) @ true @ ( n1 @ SY659 @ c @ SY659 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[810]) ).

thf(1134,plain,
    ! [SV38: $i] :
      ( ( ! [SY660: $i] :
            ( ( ifeq @ ( m0 @ SV38 @ SY660 @ e ) @ true @ ( ifeq @ ( k1 @ SV38 ) @ true @ ( n1 @ SV38 @ e @ e ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[811]) ).

thf(1135,plain,
    ! [SV39: $i] :
      ( ( ( ifeq @ ( m1 @ b @ SV39 @ e ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ e @ e @ SV39 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[812]) ).

thf(1136,plain,
    ! [SV40: $i] :
      ( ( ! [SY661: $i,SY662: $i,SY663: $i] :
            ( ( ifeq @ ( k0 @ SV40 ) @ true @ ( ifeq @ ( m0 @ SY661 @ SY662 @ SY661 ) @ true @ ( ifeq @ ( q0 @ SY663 @ SY662 ) @ true @ ( n1 @ SV40 @ SV40 @ SV40 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[813]) ).

thf(1137,plain,
    ! [SV41: $i] :
      ( ( ( ifeq @ ( p0 @ SV41 @ SV41 ) @ true @ ( ifeq @ ( k1 @ SV41 ) @ true @ ( n1 @ SV41 @ SV41 @ SV41 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[814]) ).

thf(1138,plain,
    ! [SV42: $i] :
      ( ( ! [SY664: $i,SY665: $i] :
            ( ( ifeq @ ( p0 @ SV42 @ SY664 ) @ true @ ( ifeq @ ( p0 @ SY665 @ SY665 ) @ true @ ( n1 @ SY665 @ SV42 @ SY665 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[815]) ).

thf(1139,plain,
    ! [SV43: $i] :
      ( ( ! [SY666: $i,SY667: $i] :
            ( ( ifeq @ ( m1 @ SV43 @ SY666 @ SY667 ) @ true @ ( ifeq @ ( k0 @ SV43 ) @ true @ ( n1 @ SY667 @ SY667 @ SY667 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[817]) ).

thf(1140,plain,
    ! [SV44: $i] :
      ( ( ! [SY668: $i] :
            ( ( ifeq @ ( p0 @ SV44 @ SV44 ) @ true @ ( ifeq @ ( r0 @ SY668 ) @ true @ ( ifeq @ ( l1 @ SV44 @ d ) @ true @ ( n1 @ SY668 @ d @ SV44 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[818]) ).

thf(1141,plain,
    ! [SV45: $i] :
      ( ( ! [SY669: $i] :
            ( ( ifeq @ ( l0 @ SV45 ) @ true @ ( ifeq @ ( p0 @ b @ SY669 ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ SV45 @ SY669 @ SV45 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[820]) ).

thf(1142,plain,
    ! [SV46: $i] :
      ( ( ! [SY670: $i] :
            ( ( ifeq @ ( n1 @ SV46 @ SY670 @ SV46 ) @ true @ ( ifeq @ ( m1 @ c @ SY670 @ SV46 ) @ true @ ( ifeq @ ( m0 @ b @ SV46 @ c ) @ true @ ( n1 @ SY670 @ SY670 @ SY670 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[821]) ).

thf(1143,plain,
    ! [SV47: $i] :
      ( ( ! [SY671: $i,SY672: $i] :
            ( ( ifeq @ ( p0 @ SV47 @ SY671 ) @ true @ ( ifeq @ ( m0 @ SY671 @ SY671 @ SY671 ) @ true @ ( ifeq @ ( s0 @ SY672 ) @ true @ ( ifeq @ ( k1 @ SY672 ) @ true @ ( n1 @ SY672 @ SY672 @ SY672 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[822]) ).

thf(1144,plain,
    ! [SV48: $i] :
      ( ( ( ifeq @ ( p0 @ a @ b ) @ true @ ( ifeq @ ( p0 @ SV48 @ d ) @ true @ ( n1 @ a @ SV48 @ b ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[823]) ).

thf(1145,plain,
    ! [SV49: $i] :
      ( ( ! [SY673: $i,SY674: $i] :
            ( ( ifeq @ ( n1 @ SV49 @ SY673 @ SV49 ) @ true @ ( ifeq @ ( l0 @ SY674 ) @ true @ ( ifeq @ ( l1 @ SY674 @ SV49 ) @ true @ ( n1 @ SV49 @ SY673 @ SY673 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[824]) ).

thf(1146,plain,
    ! [SV50: $i] :
      ( ( ( ifeq @ ( r0 @ SV50 ) @ true @ ( n1 @ SV50 @ SV50 @ SV50 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[827]) ).

thf(1147,plain,
    ! [SV51: $i] :
      ( ( ! [SY675: $i] :
            ( ( ifeq @ ( l1 @ SV51 @ SY675 ) @ true @ ( ifeq @ ( n0 @ SV51 @ SY675 ) @ true @ ( n1 @ SY675 @ SY675 @ SY675 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[828]) ).

thf(1148,plain,
    ! [SV52: $i] :
      ( ( ! [SY676: $i,SY677: $i,SY678: $i] :
            ( ( ifeq @ ( m0 @ SV52 @ SY676 @ SY676 ) @ true @ ( ifeq @ ( m0 @ SY677 @ SV52 @ SY678 ) @ true @ ( n1 @ SY678 @ SY678 @ SY677 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[829]) ).

thf(1149,plain,
    ! [SV53: $i] :
      ( ( ( ifeq @ ( k0 @ SV53 ) @ true @ ( ifeq @ ( s0 @ SV53 ) @ true @ ( n1 @ SV53 @ SV53 @ SV53 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[831]) ).

thf(1150,plain,
    ! [SV54: $i] :
      ( ( ! [SY679: $i,SY680: $i] :
            ( ( ifeq @ ( n1 @ SV54 @ SY679 @ SV54 ) @ true @ ( ifeq @ ( m0 @ SV54 @ SV54 @ SY680 ) @ true @ ( n1 @ SY679 @ SY679 @ SY679 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[832]) ).

thf(1151,plain,
    ! [SV55: $i] :
      ( ( ! [SY681: $i] :
            ( ( ifeq @ ( k0 @ SV55 ) @ true @ ( ifeq @ ( n0 @ d @ SY681 ) @ true @ ( p1 @ SY681 @ SY681 @ SV55 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(1152,plain,
    ! [SV56: $i] :
      ( ( ! [SY682: $i,SY683: $i] :
            ( ( ifeq @ ( l0 @ SV56 ) @ true @ ( ifeq @ ( m0 @ SY682 @ SY683 @ b ) @ true @ ( p1 @ SV56 @ SV56 @ SV56 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[834]) ).

thf(1153,plain,
    ! [SV57: $i] :
      ( ( ! [SY684: $i] :
            ( ( ifeq @ ( p0 @ SV57 @ SY684 ) @ true @ ( ifeq @ ( l1 @ SY684 @ SY684 ) @ true @ ( ifeq @ ( n0 @ SY684 @ SY684 ) @ true @ ( p1 @ SV57 @ SV57 @ SV57 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[835]) ).

thf(1154,plain,
    ! [SV58: $i] :
      ( ( ! [SY685: $i] :
            ( ( ifeq @ ( n0 @ SV58 @ SY685 ) @ true @ ( p1 @ SY685 @ SY685 @ SY685 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[836]) ).

thf(1155,plain,
    ! [SV59: $i] :
      ( ( ! [SY686: $i] :
            ( ( ifeq @ ( q0 @ SV59 @ SY686 ) @ true @ ( p1 @ SY686 @ SY686 @ SY686 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[837]) ).

thf(1156,plain,
    ! [SV60: $i] :
      ( ( ( ifeq @ ( k0 @ SV60 ) @ true @ ( p1 @ SV60 @ SV60 @ SV60 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[838]) ).

thf(1157,plain,
    ! [SV61: $i] :
      ( ( ! [SY687: $i] :
            ( ( ifeq @ ( p0 @ SV61 @ SY687 ) @ true @ ( p1 @ SY687 @ SY687 @ SV61 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[839]) ).

thf(1158,plain,
    ! [SV62: $i] :
      ( ( ! [SY688: $i,SY689: $i,SY690: $i] :
            ( ( ifeq @ ( p1 @ SV62 @ SY688 @ SY689 ) @ true @ ( ifeq @ ( l0 @ SY690 ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ SY689 @ SV62 @ SY689 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[841]) ).

thf(1159,plain,
    ! [SV63: $i] :
      ( ( ! [SY691: $i] :
            ( ( ifeq @ ( s0 @ SV63 ) @ true @ ( ifeq @ ( s0 @ SY691 ) @ true @ ( p1 @ SY691 @ SY691 @ SY691 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[842]) ).

thf(1160,plain,
    ! [SV64: $i] :
      ( ( ! [SY692: $i] :
            ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( k0 @ SV64 ) @ true @ ( ifeq @ ( k1 @ SY692 ) @ true @ ( ifeq @ ( n0 @ e @ b ) @ true @ ( p1 @ SV64 @ SV64 @ SV64 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[843]) ).

thf(1161,plain,
    ! [SV65: $i] :
      ( ( ! [SY693: $i] :
            ( ( ifeq @ ( p0 @ SV65 @ SY693 ) @ true @ ( ifeq @ ( r0 @ SY693 ) @ true @ ( p1 @ SY693 @ SY693 @ SV65 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(1162,plain,
    ! [SV66: $i] :
      ( ( ( ifeq @ ( k0 @ e ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ SV66 ) @ true @ ( p1 @ SV66 @ SV66 @ SV66 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[848]) ).

thf(1163,plain,
    ! [SV67: $i] :
      ( ( ! [SY694: $i,SY695: $i,SY696: $i] :
            ( ( ifeq @ ( n1 @ SV67 @ SY694 @ SY695 ) @ true @ ( ifeq @ ( l0 @ SY696 ) @ true @ ( ifeq @ ( n0 @ SV67 @ SV67 ) @ true @ ( p1 @ SY695 @ SY695 @ SY695 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(1164,plain,
    ! [SV68: $i] :
      ( ( ! [SY697: $i,SY698: $i,SY699: $i,SY700: $i] :
            ( ( ifeq @ ( m1 @ SV68 @ SY697 @ SY698 ) @ true @ ( ifeq @ ( l0 @ SY699 ) @ true @ ( ifeq @ ( q0 @ SY697 @ SY700 ) @ true @ ( p1 @ SY698 @ SY698 @ SY698 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[850]) ).

thf(1165,plain,
    ! [SV69: $i] :
      ( ( ! [SY701: $i,SY702: $i,SY703: $i] :
            ( ( ifeq @ ( p1 @ SV69 @ SY701 @ SY702 ) @ true @ ( ifeq @ ( m0 @ SV69 @ SY701 @ SY702 ) @ true @ ( p1 @ SY701 @ SY703 @ SV69 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[851]) ).

thf(1166,plain,
    ! [SV70: $i] :
      ( ( ! [SY704: $i] :
            ( ( ifeq @ ( m1 @ SV70 @ SY704 @ b ) @ true @ ( ifeq @ ( k0 @ SY704 ) @ true @ ( p1 @ SV70 @ b @ SY704 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[852]) ).

thf(1167,plain,
    ! [SV71: $i] :
      ( ( ! [SY705: $i] :
            ( ( ifeq @ ( m0 @ b @ SV71 @ b ) @ true @ ( ifeq @ ( l1 @ SY705 @ b ) @ true @ ( p1 @ SY705 @ SY705 @ SY705 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[853]) ).

thf(1168,plain,
    ! [SV72: $i] :
      ( ( ! [SY706: $i] :
            ( ( ifeq @ ( p0 @ SV72 @ SY706 ) @ true @ ( p1 @ SY706 @ SY706 @ SY706 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[854]) ).

thf(1169,plain,
    ! [SV73: $i] :
      ( ( ! [SY707: $i,SY708: $i] :
            ( ( ifeq @ ( l0 @ SV73 ) @ true @ ( ifeq @ ( m0 @ SY707 @ SY708 @ SV73 ) @ true @ ( p1 @ SV73 @ SV73 @ SV73 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[855]) ).

thf(1170,plain,
    ! [SV74: $i] :
      ( ( ( ifeq @ ( n1 @ c @ d @ SV74 ) @ true @ ( ifeq @ ( r0 @ d ) @ true @ ( ifeq @ ( s0 @ SV74 ) @ true @ ( ifeq @ ( n0 @ c @ SV74 ) @ true @ ( p1 @ d @ d @ SV74 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[858]) ).

thf(1171,plain,
    ! [SV75: $i] :
      ( ( ! [SY709: $i,SY710: $i,SY711: $i,SY712: $i] :
            ( ( ifeq @ ( n1 @ SV75 @ SY709 @ SY710 ) @ true @ ( ifeq @ ( q0 @ SV75 @ SY711 ) @ true @ ( ifeq @ ( k1 @ SY712 ) @ true @ ( p1 @ SY709 @ SY709 @ SY709 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[860]) ).

thf(1172,plain,
    ! [SV76: $i] :
      ( ( ! [SY713: $i,SY714: $i,SY715: $i] :
            ( ( ifeq @ ( p0 @ SV76 @ SY713 ) @ true @ ( ifeq @ ( n0 @ SY714 @ SY715 ) @ true @ ( q1 @ SY713 @ SY715 @ SY713 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[861]) ).

thf(1173,plain,
    ! [SV77: $i] :
      ( ( ! [SY716: $i] :
            ( ( ifeq @ ( q0 @ SV77 @ SY716 ) @ true @ ( q1 @ SY716 @ SY716 @ SY716 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[862]) ).

thf(1174,plain,
    ! [SV78: $i] :
      ( ( ! [SY717: $i] :
            ( ( ifeq @ ( p0 @ SV78 @ SY717 ) @ true @ ( q1 @ SY717 @ SV78 @ SV78 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[864]) ).

thf(1175,plain,
    ! [SV79: $i] :
      ( ( ! [SY718: $i,SY719: $i,SY720: $i] :
            ( ( ifeq @ ( q1 @ SV79 @ SY718 @ SY719 ) @ true @ ( ifeq @ ( n1 @ SY718 @ SY719 @ SY719 ) @ true @ ( ifeq @ ( m1 @ SY720 @ SY719 @ SY718 ) @ true @ ( ifeq @ ( p0 @ SY718 @ SV79 ) @ true @ ( q1 @ SY720 @ SY720 @ SY720 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[865]) ).

thf(1176,plain,
    ! [SV80: $i] :
      ( ( ( ifeq @ ( s0 @ SV80 ) @ true @ ( q1 @ SV80 @ SV80 @ SV80 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[866]) ).

thf(1177,plain,
    ! [SV81: $i] :
      ( ( ! [SY721: $i,SY722: $i] :
            ( ( ifeq @ ( m0 @ SV81 @ SV81 @ SY721 ) @ true @ ( ifeq @ ( s0 @ SY722 ) @ true @ ( q1 @ SY722 @ SY722 @ SY722 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[867]) ).

thf(1178,plain,
    ! [SV82: $i] :
      ( ( ! [SY723: $i,SY724: $i] :
            ( ( ifeq @ ( q1 @ SV82 @ SV82 @ SY723 ) @ true @ ( ifeq @ ( k0 @ SY723 ) @ true @ ( ifeq @ ( l0 @ SY724 ) @ true @ ( q1 @ SY724 @ SV82 @ SV82 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[868]) ).

thf(1179,plain,
    ! [SV83: $i] :
      ( ( ! [SY725: $i] :
            ( ( ifeq @ ( n0 @ SV83 @ SY725 ) @ true @ ( q1 @ SY725 @ SY725 @ SY725 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[869]) ).

thf(1180,plain,
    ! [SV84: $i] :
      ( ( ( ifeq @ ( p1 @ b @ b @ SV84 ) @ true @ ( ifeq @ ( q0 @ SV84 @ b ) @ true @ ( ifeq @ ( k1 @ SV84 ) @ true @ ( q1 @ SV84 @ SV84 @ SV84 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[870]) ).

thf(1181,plain,
    ! [SV85: $i] :
      ( ( ! [SY726: $i] :
            ( ( ifeq @ ( k0 @ SV85 ) @ true @ ( ifeq @ ( l0 @ SY726 ) @ true @ ( q1 @ SV85 @ SV85 @ SV85 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[871]) ).

thf(1182,plain,
    ! [SV86: $i] :
      ( ( ( ifeq @ ( m0 @ SV86 @ c @ b ) @ true @ ( q1 @ SV86 @ SV86 @ SV86 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[872]) ).

thf(1183,plain,
    ! [SV87: $i] :
      ( ( ! [SY727: $i,SY728: $i,SY729: $i] :
            ( ( ifeq @ ( l0 @ SV87 ) @ true @ ( ifeq @ ( p0 @ SY727 @ SV87 ) @ true @ ( ifeq @ ( r0 @ SY728 ) @ true @ ( ifeq @ ( q0 @ SY729 @ SY729 ) @ true @ ( q1 @ SV87 @ SY729 @ SV87 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[873]) ).

thf(1184,plain,
    ! [SV88: $i] :
      ( ( ! [SY730: $i] :
            ( ( ifeq @ ( p0 @ SV88 @ d ) @ true @ ( ifeq @ ( s0 @ SY730 ) @ true @ ( q1 @ SY730 @ SY730 @ SV88 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[874]) ).

thf(1185,plain,
    ! [SV89: $i] :
      ( ( ( ifeq @ ( s0 @ SV89 ) @ true @ ( q1 @ SV89 @ SV89 @ SV89 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[875]) ).

thf(1186,plain,
    ! [SV90: $i] :
      ( ( ( ifeq @ ( m0 @ e @ d @ SV90 ) @ true @ ( ifeq @ ( m0 @ SV90 @ d @ SV90 ) @ true @ ( q1 @ e @ SV90 @ SV90 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[876]) ).

thf(1187,plain,
    ! [SV91: $i] :
      ( ( ! [SY731: $i,SY732: $i] :
            ( ( ifeq @ ( p1 @ SV91 @ b @ b ) @ true @ ( ifeq @ ( p0 @ SY731 @ SY732 ) @ true @ ( ifeq @ ( q0 @ b @ b ) @ true @ ( q1 @ SV91 @ SV91 @ SV91 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[877]) ).

thf(1188,plain,
    ! [SV92: $i] :
      ( ( ! [SY733: $i,SY734: $i] :
            ( ( ifeq @ ( p0 @ SV92 @ SV92 ) @ true @ ( ifeq @ ( q0 @ SY733 @ SY734 ) @ true @ ( ifeq @ ( k1 @ SY734 ) @ true @ ( q1 @ SY734 @ SY734 @ SY733 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[878]) ).

thf(1189,plain,
    ! [SV93: $i] :
      ( ( ! [SY735: $i,SY736: $i] :
            ( ( ifeq @ ( m0 @ SV93 @ SY735 @ SY736 ) @ true @ ( q1 @ SY736 @ SY736 @ SY736 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[879]) ).

thf(1190,plain,
    ! [SV94: $i] :
      ( ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( k1 @ SV94 ) @ true @ ( q1 @ SV94 @ SV94 @ SV94 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[881]) ).

thf(1191,plain,
    ! [SV95: $i] :
      ( ( ! [SY737: $i,SY738: $i] :
            ( ( ifeq @ ( m1 @ SV95 @ SY737 @ SY737 ) @ true @ ( ifeq @ ( r0 @ SY738 ) @ true @ ( q1 @ SV95 @ SV95 @ SY737 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[882]) ).

thf(1192,plain,
    ! [SV96: $i] :
      ( ( ! [SY739: $i] :
            ( ( ifeq @ ( k0 @ SV96 ) @ true @ ( ifeq @ ( m0 @ SY739 @ SY739 @ SV96 ) @ true @ ( q1 @ SY739 @ SY739 @ SY739 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[883]) ).

thf(1193,plain,
    ! [SV97: $i] :
      ( ( ( ifeq @ ( r0 @ SV97 ) @ true @ ( q1 @ SV97 @ SV97 @ SV97 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[885]) ).

thf(1194,plain,
    ! [SV98: $i] :
      ( ( ! [SY740: $i] :
            ( ( ifeq @ ( n1 @ SV98 @ d @ SY740 ) @ true @ ( ifeq @ ( p0 @ b @ d ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( q1 @ SY740 @ SY740 @ SY740 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[887]) ).

thf(1195,plain,
    ! [SV99: $i] :
      ( ( ( ifeq @ ( s0 @ b ) @ true @ ( ifeq @ ( s0 @ SV99 ) @ true @ ( q1 @ SV99 @ b @ b ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[888]) ).

thf(1196,plain,
    ! [SV100: $i] :
      ( ( ! [SY741: $i,SY742: $i] :
            ( ( ifeq @ ( m0 @ SV100 @ SY741 @ SY742 ) @ true @ ( q1 @ SY742 @ SY742 @ SY742 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[890]) ).

thf(1197,plain,
    ! [SV101: $i] :
      ( ( ! [SY743: $i] :
            ( ( ifeq @ ( m0 @ SV101 @ SY743 @ SV101 ) @ true @ ( q1 @ SV101 @ SV101 @ SV101 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[891]) ).

thf(1198,plain,
    ! [SV102: $i] :
      ( ( ( ifeq @ ( r0 @ SV102 ) @ true @ ( ifeq @ ( m0 @ c @ SV102 @ SV102 ) @ true @ ( q1 @ SV102 @ SV102 @ SV102 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[892]) ).

thf(1199,plain,
    ! [SV103: $i] :
      ( ( ! [SY744: $i] :
            ( ( ifeq @ ( q1 @ d @ SV103 @ d ) @ true @ ( ifeq @ ( q0 @ SY744 @ SV103 ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( r1 @ SY744 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[893]) ).

thf(1200,plain,
    ! [SV104: $i] :
      ( ( ( ifeq @ ( p0 @ SV104 @ SV104 ) @ true @ ( s1 @ SV104 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[894]) ).

thf(1201,plain,
    ! [SV105: $i] :
      ( ( ! [SY745: $i,SY746: $i] :
            ( ( ifeq @ ( s1 @ SV105 ) @ true @ ( ifeq @ ( q0 @ SY745 @ SY746 ) @ true @ ( s1 @ SY745 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[895]) ).

thf(1202,plain,
    ! [SV106: $i] :
      ( ( ! [SY747: $i,SY748: $i,SY749: $i] :
            ( ( ifeq @ ( k2 @ SV106 @ SY747 ) @ true @ ( ifeq @ ( m1 @ SY748 @ SY747 @ SY749 ) @ true @ ( ifeq @ ( k1 @ SV106 ) @ true @ ( k2 @ SY749 @ SY747 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[896]) ).

thf(1203,plain,
    ! [SV107: $i] :
      ( ( ( ifeq @ ( q1 @ SV107 @ SV107 @ d ) @ true @ ( ifeq @ ( n1 @ e @ d @ SV107 ) @ true @ ( ifeq @ ( m1 @ SV107 @ e @ SV107 ) @ true @ ( k2 @ SV107 @ SV107 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[897]) ).

thf(1204,plain,
    ! [SV108: $i] :
      ( ( ! [SY750: $i] :
            ( ( ifeq @ ( q1 @ SV108 @ SY750 @ SY750 ) @ true @ ( k2 @ SY750 @ SY750 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[898]) ).

thf(1205,plain,
    ! [SV109: $i] :
      ( ( ! [SY751: $i] :
            ( ( ifeq @ ( l2 @ SV109 @ SV109 ) @ true @ ( ifeq @ ( s1 @ SY751 ) @ true @ ( ifeq @ ( n0 @ e @ SV109 ) @ true @ ( l2 @ SY751 @ SV109 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[900]) ).

thf(1206,plain,
    ! [SV110: $i] :
      ( ( ! [SY752: $i,SY753: $i,SY754: $i] :
            ( ( ifeq @ ( s1 @ SV110 ) @ true @ ( ifeq @ ( p0 @ SY752 @ SY752 ) @ true @ ( ifeq @ ( m0 @ SY753 @ SV110 @ SY754 ) @ true @ ( l2 @ SY754 @ SY754 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[901]) ).

thf(1207,plain,
    ! [SV111: $i] :
      ( ( ! [SY755: $i,SY756: $i] :
            ( ( ifeq @ ( m1 @ SV111 @ SY755 @ SY755 ) @ true @ ( ifeq @ ( p0 @ SY755 @ SY756 ) @ true @ ( ifeq @ ( m0 @ SY755 @ SY756 @ SV111 ) @ true @ ( l2 @ SY756 @ SY756 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[902]) ).

thf(1208,plain,
    ! [SV112: $i] :
      ( ( ! [SY757: $i,SY758: $i] :
            ( ( ifeq @ ( s0 @ SV112 ) @ true @ ( ifeq @ ( l1 @ SY757 @ SY758 ) @ true @ ( m2 @ SV112 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(1209,plain,
    ! [SV113: $i] :
      ( ( ! [SY759: $i,SY760: $i] :
            ( ( ifeq @ ( p1 @ SV113 @ SY759 @ SY760 ) @ true @ ( n2 @ SY760 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[905]) ).

thf(1210,plain,
    ! [SV114: $i] :
      ( ( ! [SY761: $i] :
            ( ( ifeq @ ( r1 @ b ) @ true @ ( ifeq @ ( p1 @ b @ SV114 @ SY761 ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( n2 @ e ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[908]) ).

thf(1211,plain,
    ! [SV115: $i] :
      ( ( ( ifeq @ ( q1 @ SV115 @ a @ SV115 ) @ true @ ( p2 @ SV115 @ a @ SV115 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(1212,plain,
    ! [SV116: $i] :
      ( ( ! [SY762: $i] :
            ( ( ifeq @ ( l2 @ a @ SV116 ) @ true @ ( ifeq @ ( k2 @ SY762 @ a ) @ true @ ( ifeq @ ( k0 @ SV116 ) @ true @ ( ifeq @ ( k1 @ SV116 ) @ true @ ( p2 @ SY762 @ SY762 @ SY762 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[910]) ).

thf(1213,plain,
    ! [SV117: $i] :
      ( ( ( ifeq @ ( k2 @ c @ a ) @ true @ ( ifeq @ ( n1 @ c @ SV117 @ SV117 ) @ true @ ( ifeq @ ( p0 @ b @ SV117 ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ b @ c @ a ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[912]) ).

thf(1214,plain,
    ! [SV118: $i] :
      ( ( ! [SY763: $i] :
            ( ( ifeq @ ( p1 @ SV118 @ SY763 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ e @ SV118 @ SY763 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[913]) ).

thf(1215,plain,
    ! [SV119: $i] :
      ( ( ! [SY764: $i,SY765: $i,SY766: $i] :
            ( ( ifeq @ ( p2 @ SV119 @ SY764 @ SV119 ) @ true @ ( ifeq @ ( p1 @ SV119 @ SY765 @ SY766 ) @ true @ ( ifeq @ ( l1 @ SY765 @ SY766 ) @ true @ ( p2 @ SV119 @ SY764 @ SY764 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[914]) ).

thf(1216,plain,
    ! [SV120: $i] :
      ( ( ! [SY767: $i,SY768: $i] :
            ( ( ifeq @ ( p2 @ SV120 @ SY767 @ SV120 ) @ true @ ( ifeq @ ( m1 @ SV120 @ SY768 @ SY767 ) @ true @ ( p2 @ SY767 @ SY767 @ SY767 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[916]) ).

thf(1217,plain,
    ! [SV121: $i] :
      ( ( ! [SY769: $i] :
            ( ( ifeq @ ( r1 @ a ) @ true @ ( ifeq @ ( m0 @ SV121 @ SY769 @ d ) @ true @ ( p2 @ SY769 @ SY769 @ d ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[917]) ).

thf(1218,plain,
    ! [SV122: $i] :
      ( ( ! [SY770: $i] :
            ( ( ifeq @ ( m1 @ SV122 @ SV122 @ SY770 ) @ true @ ( p2 @ SY770 @ SY770 @ SY770 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[918]) ).

thf(1219,plain,
    ! [SV123: $i] :
      ( ( ! [SY771: $i,SY772: $i] :
            ( ( ifeq @ ( p2 @ SV123 @ SY771 @ SV123 ) @ true @ ( ifeq @ ( n1 @ SY772 @ SY771 @ SY772 ) @ true @ ( ifeq @ ( p0 @ SV123 @ SY771 ) @ true @ ( p2 @ SV123 @ SY771 @ SY771 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[920]) ).

thf(1220,plain,
    ! [SV124: $i] :
      ( ( ( ifeq @ ( n1 @ d @ d @ SV124 ) @ true @ ( p2 @ SV124 @ SV124 @ SV124 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[921]) ).

thf(1221,plain,
    ! [SV125: $i] :
      ( ( ( ifeq @ ( q1 @ SV125 @ SV125 @ SV125 ) @ true @ ( p2 @ SV125 @ SV125 @ SV125 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[922]) ).

thf(1222,plain,
    ! [SV126: $i] :
      ( ( ! [SY773: $i,SY774: $i] :
            ( ( ifeq @ ( p2 @ e @ SV126 @ SY773 ) @ true @ ( ifeq @ ( k1 @ SY774 ) @ true @ ( p2 @ SV126 @ SY773 @ SY773 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[923]) ).

thf(1223,plain,
    ! [SV127: $i] :
      ( ( ! [SY775: $i] :
            ( ( ifeq @ ( q1 @ a @ SV127 @ SY775 ) @ true @ ( ifeq @ ( n1 @ e @ SY775 @ a ) @ true @ ( p2 @ SY775 @ e @ SV127 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[924]) ).

thf(1224,plain,
    ! [SV128: $i] :
      ( ( ( ifeq @ ( l1 @ SV128 @ d ) @ true @ ( p2 @ SV128 @ SV128 @ SV128 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[925]) ).

thf(1225,plain,
    ! [SV129: $i] :
      ( ( ! [SY776: $i,SY777: $i] :
            ( ( ifeq @ ( p2 @ SV129 @ SY776 @ SV129 ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q1 @ c @ SV129 @ SY776 ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( p2 @ SV129 @ SV129 @ SY777 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[926]) ).

thf(1226,plain,
    ! [SV130: $i] :
      ( ( ( ifeq @ ( k1 @ SV130 ) @ true @ ( p2 @ SV130 @ SV130 @ SV130 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[927]) ).

thf(1227,plain,
    ! [SV131: $i] :
      ( ( ! [SY778: $i,SY779: $i] :
            ( ( ifeq @ ( p2 @ a @ SV131 @ SY778 ) @ true @ ( ifeq @ ( m1 @ a @ a @ SY779 ) @ true @ ( p2 @ SY778 @ SY778 @ SY778 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[928]) ).

thf(1228,plain,
    ! [SV132: $i] :
      ( ( ( ifeq @ ( q1 @ e @ c @ SV132 ) @ true @ ( ifeq @ ( p1 @ SV132 @ b @ b ) @ true @ ( ifeq @ ( n1 @ e @ e @ SV132 ) @ true @ ( p2 @ b @ c @ c ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[930]) ).

thf(1229,plain,
    ! [SV133: $i] :
      ( ( ! [SY780: $i] :
            ( ( ifeq @ ( k2 @ SV133 @ c ) @ true @ ( ifeq @ ( q1 @ SY780 @ c @ SY780 ) @ true @ ( p2 @ SV133 @ SV133 @ SV133 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[931]) ).

thf(1230,plain,
    ! [SV134: $i] :
      ( ( ! [SY781: $i,SY782: $i] :
            ( ( ifeq @ ( p2 @ SV134 @ SY781 @ SY782 ) @ true @ ( ifeq @ ( r1 @ SY781 ) @ true @ ( ifeq @ ( p0 @ SY782 @ SY782 ) @ true @ ( p2 @ SY782 @ SY782 @ SY782 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[932]) ).

thf(1231,plain,
    ! [SV135: $i] :
      ( ( ! [SY783: $i,SY784: $i] :
            ( ( ifeq @ ( p2 @ SV135 @ SV135 @ SY783 ) @ true @ ( ifeq @ ( q1 @ SV135 @ SY783 @ SV135 ) @ true @ ( p2 @ SY784 @ SY784 @ SY784 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[933]) ).

thf(1232,plain,
    ! [SV136: $i] :
      ( ( ( ifeq @ ( m1 @ a @ SV136 @ d ) @ true @ ( ifeq @ ( n0 @ SV136 @ d ) @ true @ ( p2 @ a @ SV136 @ d ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[934]) ).

thf(1233,plain,
    ! [SV137: $i] :
      ( ( ( ifeq @ ( s1 @ SV137 ) @ true @ ( ifeq @ ( k1 @ SV137 ) @ true @ ( p2 @ SV137 @ SV137 @ SV137 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[935]) ).

thf(1234,plain,
    ! [SV138: $i] :
      ( ( ! [SY785: $i,SY786: $i] :
            ( ( ifeq @ ( q1 @ SV138 @ SV138 @ SV138 ) @ true @ ( ifeq @ ( p1 @ SY785 @ SY786 @ SY785 ) @ true @ ( p2 @ SY785 @ SY785 @ SY785 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[937]) ).

thf(1235,plain,
    ! [SV139: $i] :
      ( ( ( ifeq @ ( n1 @ SV139 @ e @ e ) @ true @ ( p2 @ SV139 @ e @ SV139 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[938]) ).

thf(1236,plain,
    ! [SV140: $i] :
      ( ( ! [SY787: $i] :
            ( ( ifeq @ ( n1 @ SV140 @ SV140 @ SV140 ) @ true @ ( ifeq @ ( p0 @ SY787 @ SY787 ) @ true @ ( p2 @ SY787 @ SY787 @ SY787 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[939]) ).

thf(1237,plain,
    ! [SV141: $i] :
      ( ( ! [SY788: $i] :
            ( ( ifeq @ ( r1 @ SV141 ) @ true @ ( ifeq @ ( r0 @ SY788 ) @ true @ ( p2 @ SY788 @ SY788 @ SY788 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[941]) ).

thf(1238,plain,
    ! [SV142: $i] :
      ( ( ( ifeq @ ( n2 @ SV142 ) @ true @ ( ifeq @ ( k1 @ e ) @ true @ ( p2 @ SV142 @ SV142 @ SV142 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1239,plain,
    ! [SV143: $i] :
      ( ( ! [SY789: $i] :
            ( ( ifeq @ ( l1 @ SV143 @ SY789 ) @ true @ ( p2 @ SY789 @ SY789 @ SY789 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[943]) ).

thf(1240,plain,
    ! [SV144: $i] :
      ( ( ! [SY790: $i] :
            ( ( ifeq @ ( m1 @ SV144 @ SY790 @ SV144 ) @ true @ ( p2 @ SY790 @ SV144 @ SY790 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[944]) ).

thf(1241,plain,
    ! [SV145: $i] :
      ( ( ! [SY791: $i] :
            ( ( ifeq @ ( p1 @ SV145 @ SV145 @ SV145 ) @ true @ ( ifeq @ ( k0 @ SY791 ) @ true @ ( q2 @ SV145 @ SY791 @ SY791 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[945]) ).

thf(1242,plain,
    ! [SV146: $i] :
      ( ( ! [SY792: $i,SY793: $i] :
            ( ( ifeq @ ( n1 @ SV146 @ SY792 @ SY793 ) @ true @ ( ifeq @ ( q0 @ SV146 @ SY792 ) @ true @ ( q2 @ SY792 @ SY792 @ SY792 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[946]) ).

thf(1243,plain,
    ! [SV147: $i] :
      ( ( ! [SY794: $i] :
            ( ( ifeq @ ( n1 @ SV147 @ SV147 @ SY794 ) @ true @ ( ifeq @ ( k1 @ SY794 ) @ true @ ( q2 @ SV147 @ SV147 @ SV147 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[947]) ).

thf(1244,plain,
    ! [SV148: $i] :
      ( ( ( ifeq @ ( p1 @ SV148 @ SV148 @ SV148 ) @ true @ ( q2 @ SV148 @ SV148 @ SV148 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[949]) ).

thf(1245,plain,
    ! [SV149: $i] :
      ( ( ! [SY795: $i,SY796: $i] :
            ( ( ifeq @ ( q2 @ SV149 @ SY795 @ SY796 ) @ true @ ( ifeq @ ( p1 @ SY796 @ SY796 @ SY795 ) @ true @ ( ifeq @ ( n1 @ SV149 @ SY796 @ SY795 ) @ true @ ( q2 @ SY796 @ SV149 @ SY796 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[950]) ).

thf(1246,plain,
    ! [SV150: $i] :
      ( ( ! [SY797: $i] :
            ( ( ifeq @ ( l2 @ SV150 @ SY797 ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ SV150 ) @ true @ ( q2 @ SY797 @ c @ SV150 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[951]) ).

thf(1247,plain,
    ! [SV151: $i] :
      ( ( ! [SY798: $i] :
            ( ( ifeq @ ( q1 @ SV151 @ c @ SY798 ) @ true @ ( q2 @ SY798 @ SY798 @ SY798 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[952]) ).

thf(1248,plain,
    ! [SV152: $i] :
      ( ( ! [SY799: $i,SY800: $i] :
            ( ( ifeq @ ( q2 @ SV152 @ SV152 @ SY799 ) @ true @ ( ifeq @ ( n1 @ SY799 @ d @ SV152 ) @ true @ ( ifeq @ ( k1 @ SY800 ) @ true @ ( q2 @ SY800 @ SY800 @ SY800 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[953]) ).

thf(1249,plain,
    ! [SV153: $i] :
      ( ( ! [SY801: $i] :
            ( ( ifeq @ ( l1 @ SV153 @ SY801 ) @ true @ ( q2 @ SY801 @ SY801 @ SV153 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[954]) ).

thf(1250,plain,
    ! [SV154: $i] :
      ( ( ! [SY802: $i,SY803: $i,SY804: $i] :
            ( ( ifeq @ ( q2 @ SV154 @ SV154 @ SV154 ) @ true @ ( ifeq @ ( r1 @ SV154 ) @ true @ ( ifeq @ ( k0 @ SV154 ) @ true @ ( ifeq @ ( m0 @ SY802 @ SY803 @ SY804 ) @ true @ ( q2 @ SY804 @ SV154 @ SY804 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[955]) ).

thf(1251,plain,
    ! [SV155: $i] :
      ( ( ( ifeq @ ( r1 @ SV155 ) @ true @ ( ifeq @ ( l0 @ SV155 ) @ true @ ( r2 @ SV155 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[956]) ).

thf(1252,plain,
    ! [SV156: $i] :
      ( ( ( ifeq @ ( q2 @ b @ SV156 @ b ) @ true @ ( ifeq @ ( s1 @ b ) @ true @ ( s2 @ SV156 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[957]) ).

thf(1253,plain,
    ! [SV157: $i] :
      ( ( ! [SY805: $i,SY806: $i,SY807: $i] :
            ( ( ifeq @ ( p2 @ SV157 @ SY805 @ SY806 ) @ true @ ( ifeq @ ( s1 @ SY805 ) @ true @ ( ifeq @ ( n0 @ SY807 @ SY806 ) @ true @ ( k3 @ SY807 @ SY805 @ SY807 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[960]) ).

thf(1254,plain,
    ! [SV158: $i] :
      ( ( ! [SY808: $i] :
            ( ( ifeq @ ( s2 @ SV158 ) @ true @ ( ifeq @ ( q2 @ d @ SV158 @ d ) @ true @ ( ifeq @ ( s1 @ SY808 ) @ true @ ( k3 @ SY808 @ SY808 @ SY808 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[961]) ).

thf(1255,plain,
    ! [SV159: $i] :
      ( ( ! [SY809: $i] :
            ( ( ifeq @ ( k2 @ SV159 @ SY809 ) @ true @ ( k3 @ SY809 @ SY809 @ SV159 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[962]) ).

thf(1256,plain,
    ! [SV160: $i] :
      ( ( ! [SY810: $i,SY811: $i] :
            ( ( ifeq @ ( p2 @ SV160 @ SY810 @ SV160 ) @ true @ ( ifeq @ ( m1 @ SY811 @ SY811 @ SY810 ) @ true @ ( k3 @ SY811 @ SY811 @ SY811 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[964]) ).

thf(1257,plain,
    ! [SV161: $i] :
      ( ( ! [SY812: $i] :
            ( ( ifeq @ ( l2 @ SV161 @ b ) @ true @ ( ifeq @ ( k1 @ SY812 ) @ true @ ( k3 @ SY812 @ SY812 @ SY812 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[965]) ).

thf(1258,plain,
    ! [SV162: $i] :
      ( ( ! [SY813: $i,SY814: $i] :
            ( ( ifeq @ ( k3 @ SV162 @ SY813 @ SY813 ) @ true @ ( ifeq @ ( p2 @ SY813 @ SY814 @ e ) @ true @ ( ifeq @ ( s1 @ SY813 ) @ true @ ( k3 @ SV162 @ SV162 @ SV162 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[967]) ).

thf(1259,plain,
    ! [SV163: $i] :
      ( ( ! [SY815: $i,SY816: $i,SY817: $i] :
            ( ( ifeq @ ( m2 @ SV163 ) @ true @ ( ifeq @ ( m2 @ SY815 ) @ true @ ( ifeq @ ( p1 @ SY816 @ SY815 @ SY817 ) @ true @ ( k3 @ SY817 @ SY817 @ SY816 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[968]) ).

thf(1260,plain,
    ! [SV164: $i] :
      ( ( ! [SY818: $i,SY819: $i,SY820: $i,SY821: $i] :
            ( ( ifeq @ ( k3 @ SV164 @ SY818 @ SY819 ) @ true @ ( ifeq @ ( k2 @ SY820 @ SY819 ) @ true @ ( ifeq @ ( q0 @ SY821 @ SV164 ) @ true @ ( k3 @ SY820 @ SY820 @ SV164 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[969]) ).

thf(1261,plain,
    ! [SV165: $i] :
      ( ( ! [SY822: $i] :
            ( ( ifeq @ ( p2 @ SV165 @ SY822 @ SY822 ) @ true @ ( k3 @ SY822 @ SY822 @ SY822 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[972]) ).

thf(1262,plain,
    ! [SV166: $i] :
      ( ( ! [SY823: $i] :
            ( ( ifeq @ ( p2 @ SV166 @ SY823 @ SY823 ) @ true @ ( k3 @ SY823 @ SV166 @ SY823 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[973]) ).

thf(1263,plain,
    ! [SV167: $i] :
      ( ( ( ifeq @ ( r2 @ c ) @ true @ ( ifeq @ ( l1 @ b @ SV167 ) @ true @ ( k3 @ SV167 @ SV167 @ SV167 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[974]) ).

thf(1264,plain,
    ! [SV168: $i] :
      ( ( ! [SY824: $i,SY825: $i,SY826: $i] :
            ( ( ifeq @ ( k3 @ SV168 @ SY824 @ SV168 ) @ true @ ( ifeq @ ( s2 @ SY825 ) @ true @ ( ifeq @ ( m2 @ SY826 ) @ true @ ( ifeq @ ( l1 @ SV168 @ SY824 ) @ true @ ( k3 @ SY825 @ SY825 @ SY825 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[975]) ).

thf(1265,plain,
    ! [SV169: $i] :
      ( ( ( ifeq @ ( n2 @ SV169 ) @ true @ ( k3 @ SV169 @ SV169 @ SV169 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[976]) ).

thf(1266,plain,
    ! [SV170: $i] :
      ( ( ( ifeq @ ( r2 @ e ) @ true @ ( ifeq @ ( l0 @ SV170 ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( k3 @ SV170 @ SV170 @ SV170 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[977]) ).

thf(1267,plain,
    ! [SV171: $i] :
      ( ( ( ifeq @ ( m2 @ SV171 ) @ true @ ( k3 @ SV171 @ SV171 @ SV171 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[978]) ).

thf(1268,plain,
    ! [SV172: $i] :
      ( ( ! [SY827: $i,SY828: $i] :
            ( ( ifeq @ ( p2 @ SV172 @ SY827 @ SY827 ) @ true @ ( ifeq @ ( r1 @ SY828 ) @ true @ ( k3 @ SY828 @ SY828 @ SY828 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[979]) ).

thf(1269,plain,
    ! [SV173: $i] :
      ( ( ! [SY829: $i] :
            ( ( ifeq @ ( p2 @ SV173 @ SY829 @ SV173 ) @ true @ ( ifeq @ ( r0 @ SV173 ) @ true @ ( l3 @ SV173 @ SY829 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[981]) ).

thf(1270,plain,
    ! [SV174: $i] :
      ( ( ! [SY830: $i,SY831: $i] :
            ( ( ifeq @ ( p2 @ SV174 @ SY830 @ SY831 ) @ true @ ( ifeq @ ( p1 @ SY831 @ SY831 @ SV174 ) @ true @ ( l3 @ SY831 @ SY831 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1271,plain,
    ! [SV175: $i] :
      ( ( ( ifeq @ ( n2 @ SV175 ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( l3 @ SV175 @ SV175 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[983]) ).

thf(1272,plain,
    ! [SV176: $i] :
      ( ( ( ifeq @ ( r2 @ SV176 ) @ true @ ( l3 @ SV176 @ SV176 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1273,plain,
    ! [SV177: $i] :
      ( ( ! [SY832: $i,SY833: $i] :
            ( ( ifeq @ ( l3 @ SV177 @ SV177 ) @ true @ ( ifeq @ ( n2 @ SY832 ) @ true @ ( ifeq @ ( l1 @ SV177 @ SY833 ) @ true @ ( l3 @ SY833 @ SY833 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1274,plain,
    ! [SV178: $i] :
      ( ( ! [SY834: $i] :
            ( ( ifeq @ ( s2 @ SV178 ) @ true @ ( ifeq @ ( l1 @ SY834 @ SY834 ) @ true @ ( l3 @ SY834 @ SY834 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1275,plain,
    ! [SV179: $i] :
      ( ( ! [SY835: $i,SY836: $i] :
            ( ( ifeq @ ( k3 @ SV179 @ SY835 @ SY835 ) @ true @ ( ifeq @ ( l2 @ SY836 @ SY836 ) @ true @ ( l3 @ SY835 @ SY835 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1276,plain,
    ! [SV180: $i] :
      ( ( ! [SY837: $i,SY838: $i,SY839: $i] :
            ( ( ifeq @ ( s2 @ SV180 ) @ true @ ( ifeq @ ( l2 @ SY837 @ SY838 ) @ true @ ( ifeq @ ( m0 @ SV180 @ SV180 @ SY839 ) @ true @ ( ifeq @ ( m0 @ SY838 @ SY837 @ SY837 ) @ true @ ( m3 @ SY838 @ SY839 @ SY838 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[991]) ).

thf(1277,plain,
    ! [SV181: $i] :
      ( ( ! [SY840: $i,SY841: $i] :
            ( ( ifeq @ ( m3 @ SV181 @ SY840 @ SV181 ) @ true @ ( ifeq @ ( l2 @ a @ a ) @ true @ ( ifeq @ ( k2 @ SY841 @ SY840 ) @ true @ ( ifeq @ ( n0 @ SY840 @ a ) @ true @ ( m3 @ SV181 @ SV181 @ SV181 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[992]) ).

thf(1278,plain,
    ! [SV182: $i] :
      ( ( ! [SY842: $i,SY843: $i,SY844: $i] :
            ( ( ifeq @ ( s2 @ SV182 ) @ true @ ( ifeq @ ( r2 @ SY842 ) @ true @ ( ifeq @ ( q0 @ SY843 @ SV182 ) @ true @ ( ifeq @ ( s0 @ SY844 ) @ true @ ( m3 @ SY842 @ SY842 @ SY842 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[993]) ).

thf(1279,plain,
    ! [SV183: $i] :
      ( ( ! [SY845: $i,SY846: $i] :
            ( ( ifeq @ ( m3 @ SV183 @ SY845 @ SV183 ) @ true @ ( ifeq @ ( n2 @ SY845 ) @ true @ ( ifeq @ ( m2 @ SY846 ) @ true @ ( m3 @ SY845 @ SY846 @ SY846 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1280,plain,
    ! [SV184: $i] :
      ( ( ! [SY847: $i] :
            ( ( ifeq @ ( r2 @ SV184 ) @ true @ ( ifeq @ ( k2 @ c @ SY847 ) @ true @ ( m3 @ SV184 @ SY847 @ SV184 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1281,plain,
    ! [SV185: $i] :
      ( ( ( ifeq @ ( n2 @ SV185 ) @ true @ ( ifeq @ ( l2 @ SV185 @ SV185 ) @ true @ ( m3 @ SV185 @ SV185 @ SV185 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[998]) ).

thf(1282,plain,
    ! [SV186: $i] :
      ( ( ! [SY848: $i] :
            ( ( ifeq @ ( n2 @ SV186 ) @ true @ ( ifeq @ ( m2 @ SY848 ) @ true @ ( m3 @ SV186 @ SV186 @ SV186 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1283,plain,
    ! [SV187: $i] :
      ( ( ( ifeq @ ( p2 @ SV187 @ e @ e ) @ true @ ( ifeq @ ( n2 @ e ) @ true @ ( m3 @ SV187 @ e @ e ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1284,plain,
    ! [SV188: $i] :
      ( ( ! [SY849: $i] :
            ( ( ifeq @ ( k3 @ SV188 @ SY849 @ SV188 ) @ true @ ( ifeq @ ( r2 @ SY849 ) @ true @ ( m3 @ SV188 @ SV188 @ SY849 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1285,plain,
    ! [SV189: $i] :
      ( ( ( ifeq @ ( n2 @ SV189 ) @ true @ ( m3 @ SV189 @ SV189 @ SV189 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1002]) ).

thf(1286,plain,
    ! [SV190: $i] :
      ( ( ( ifeq @ ( s2 @ c ) @ true @ ( ifeq @ ( q2 @ SV190 @ c @ c ) @ true @ ( m3 @ SV190 @ c @ SV190 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1287,plain,
    ! [SV191: $i] :
      ( ( ( ifeq @ ( p2 @ SV191 @ SV191 @ SV191 ) @ true @ ( m3 @ SV191 @ SV191 @ SV191 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1288,plain,
    ! [SV192: $i] :
      ( ( ! [SY850: $i,SY851: $i] :
            ( ( ifeq @ ( p2 @ SV192 @ SY850 @ SY851 ) @ true @ ( n3 @ SY851 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1289,plain,
    ! [SV193: $i] :
      ( ( ! [SY852: $i,SY853: $i,SY854: $i] :
            ( ( ifeq @ ( q2 @ SV193 @ d @ SY852 ) @ true @ ( ifeq @ ( k2 @ SY853 @ SY854 ) @ true @ ( p3 @ SY852 @ SY853 @ SY854 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1007]) ).

thf(1290,plain,
    ! [SV194: $i] :
      ( ( ! [SY855: $i,SY856: $i] :
            ( ( ifeq @ ( k3 @ SV194 @ SY855 @ SY856 ) @ true @ ( ifeq @ ( r2 @ SV194 ) @ true @ ( p3 @ SY856 @ SV194 @ SY855 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1291,plain,
    ! [SV195: $i] :
      ( ( ( ifeq @ ( n3 @ SV195 ) @ true @ ( ifeq @ ( l3 @ b @ e ) @ true @ ( ifeq @ ( q2 @ SV195 @ d @ SV195 ) @ true @ ( ifeq @ ( p2 @ d @ b @ c ) @ true @ ( p3 @ SV195 @ d @ e ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1292,plain,
    ! [SV196: $i] :
      ( ( ( ifeq @ ( n2 @ SV196 ) @ true @ ( p3 @ SV196 @ SV196 @ SV196 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1293,plain,
    ! [SV197: $i] :
      ( ( ! [SY857: $i,SY858: $i] :
            ( ( ifeq @ ( p3 @ SV197 @ SV197 @ SY857 ) @ true @ ( ifeq @ ( l3 @ SY857 @ SY858 ) @ true @ ( ifeq @ ( l1 @ SY857 @ SY857 ) @ true @ ( p3 @ SY858 @ SY858 @ SY858 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1011]) ).

thf(1294,plain,
    ! [SV198: $i] :
      ( ( ( ifeq @ ( l2 @ SV198 @ SV198 ) @ true @ ( p3 @ SV198 @ SV198 @ SV198 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1295,plain,
    ! [SV199: $i] :
      ( ( ! [SY859: $i,SY860: $i] :
            ( ( ifeq @ ( q2 @ SV199 @ SY859 @ SY860 ) @ true @ ( ifeq @ ( n2 @ SY860 ) @ true @ ( ifeq @ ( s1 @ SV199 ) @ true @ ( p3 @ SY860 @ SY860 @ SY860 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1296,plain,
    ! [SV200: $i] :
      ( ( ! [SY861: $i] :
            ( ( ifeq @ ( n3 @ SV200 ) @ true @ ( ifeq @ ( p2 @ SY861 @ SV200 @ SV200 ) @ true @ ( p3 @ SV200 @ SV200 @ SV200 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1297,plain,
    ! [SV201: $i] :
      ( ( ( ifeq @ ( n2 @ SV201 ) @ true @ ( ifeq @ ( k1 @ SV201 ) @ true @ ( p3 @ SV201 @ SV201 @ SV201 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1298,plain,
    ! [SV202: $i] :
      ( ( ! [SY862: $i,SY863: $i] :
            ( ( ifeq @ ( q2 @ SV202 @ SY862 @ SY863 ) @ true @ ( ifeq @ ( k1 @ SY863 ) @ true @ ( p3 @ SY863 @ SY863 @ SY863 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1299,plain,
    ! [SV203: $i] :
      ( ( ! [SY864: $i,SY865: $i,SY866: $i] :
            ( ( ifeq @ ( m3 @ SV203 @ SY864 @ SY865 ) @ true @ ( ifeq @ ( p2 @ SY866 @ SV203 @ SY865 ) @ true @ ( p3 @ SY866 @ SV203 @ SV203 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1017]) ).

thf(1300,plain,
    ! [SV204: $i] :
      ( ( ! [SY867: $i,SY868: $i] :
            ( ( ifeq @ ( k2 @ SV204 @ SV204 ) @ true @ ( ifeq @ ( q0 @ SY867 @ SY868 ) @ true @ ( p3 @ SY868 @ SY868 @ SY868 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1301,plain,
    ! [SV205: $i] :
      ( ( ( ifeq @ ( m3 @ e @ SV205 @ e ) @ true @ ( ifeq @ ( q2 @ SV205 @ SV205 @ b ) @ true @ ( p3 @ e @ b @ e ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1302,plain,
    ! [SV206: $i] :
      ( ( ! [SY869: $i,SY870: $i] :
            ( ( ifeq @ ( q2 @ SV206 @ SY869 @ SY870 ) @ true @ ( ifeq @ ( n0 @ SV206 @ SY869 ) @ true @ ( q3 @ SY869 @ SY870 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1021]) ).

thf(1303,plain,
    ! [SV207: $i] :
      ( ( ! [SY871: $i] :
            ( ( ifeq @ ( q3 @ SV207 @ SY871 ) @ true @ ( ifeq @ ( p2 @ SV207 @ SY871 @ SY871 ) @ true @ ( q3 @ SY871 @ SY871 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1304,plain,
    ! [SV208: $i] :
      ( ( ! [SY872: $i,SY873: $i] :
            ( ( ifeq @ ( q3 @ SV208 @ SY872 ) @ true @ ( ifeq @ ( s2 @ SY872 ) @ true @ ( ifeq @ ( n1 @ SY873 @ SY872 @ SV208 ) @ true @ ( q3 @ SY872 @ SV208 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1023]) ).

thf(1305,plain,
    ! [SV209: $i] :
      ( ( ! [SY874: $i,SY875: $i] :
            ( ( ifeq @ ( r2 @ SV209 ) @ true @ ( ifeq @ ( l2 @ SY874 @ SY874 ) @ true @ ( ifeq @ ( s1 @ SY875 ) @ true @ ( q3 @ SV209 @ SV209 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1306,plain,
    ! [SV210: $i] :
      ( ( ! [SY876: $i] :
            ( ( ifeq @ ( q3 @ SV210 @ SY876 ) @ true @ ( ifeq @ ( r2 @ d ) @ true @ ( ifeq @ ( m0 @ SV210 @ d @ SV210 ) @ true @ ( ifeq @ ( k1 @ SY876 ) @ true @ ( q3 @ SY876 @ SY876 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1307,plain,
    ! [SV211: $i] :
      ( ( ! [SY877: $i] :
            ( ( ifeq @ ( s2 @ SV211 ) @ true @ ( ifeq @ ( l2 @ c @ SY877 ) @ true @ ( r3 @ SY877 @ SV211 @ SV211 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1026]) ).

thf(1308,plain,
    ! [SV212: $i] :
      ( ( ! [SY878: $i,SY879: $i] :
            ( ( ifeq @ ( r2 @ SV212 ) @ true @ ( ifeq @ ( n1 @ SY878 @ SY878 @ SY878 ) @ true @ ( ifeq @ ( l1 @ SY879 @ SY878 ) @ true @ ( r3 @ SV212 @ SV212 @ SV212 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1309,plain,
    ! [SV213: $i] :
      ( ( ! [SY880: $i,SY881: $i] :
            ( ( ifeq @ ( r3 @ SV213 @ SY880 @ SV213 ) @ true @ ( ifeq @ ( l2 @ SY881 @ SY880 ) @ true @ ( ifeq @ ( p1 @ SY880 @ SY881 @ SV213 ) @ true @ ( r3 @ SV213 @ SV213 @ SV213 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1028]) ).

thf(1310,plain,
    ! [SV214: $i] :
      ( ( ! [SY882: $i] :
            ( ( ifeq @ ( r3 @ SV214 @ SV214 @ SY882 ) @ true @ ( ifeq @ ( m0 @ d @ SY882 @ SV214 ) @ true @ ( r3 @ SV214 @ SV214 @ SV214 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1029]) ).

thf(1311,plain,
    ! [SV215: $i] :
      ( ( ( ifeq @ ( s2 @ SV215 ) @ true @ ( r3 @ SV215 @ SV215 @ SV215 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1312,plain,
    ! [SV216: $i] :
      ( ( ! [SY883: $i] :
            ( ( ifeq @ ( l2 @ SV216 @ SY883 ) @ true @ ( r3 @ SY883 @ SY883 @ SY883 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1031]) ).

thf(1313,plain,
    ! [SV217: $i] :
      ( ( ( ifeq @ ( r2 @ SV217 ) @ true @ ( r3 @ SV217 @ SV217 @ SV217 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1032]) ).

thf(1314,plain,
    ! [SV218: $i] :
      ( ( ! [SY884: $i,SY885: $i] :
            ( ( ifeq @ ( p2 @ SV218 @ SY884 @ SY885 ) @ true @ ( r3 @ SV218 @ SY885 @ SV218 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1033]) ).

thf(1315,plain,
    ! [SV219: $i] :
      ( ( ! [SY886: $i,SY887: $i,SY888: $i] :
            ( ( ifeq @ ( r3 @ SV219 @ SY886 @ SY886 ) @ true @ ( ifeq @ ( m3 @ SY887 @ b @ SY888 ) @ true @ ( ifeq @ ( m2 @ SV219 ) @ true @ ( r3 @ SY888 @ SY888 @ SV219 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1034]) ).

thf(1316,plain,
    ! [SV220: $i] :
      ( ( ( ifeq @ ( m3 @ a @ SV220 @ SV220 ) @ true @ ( ifeq @ ( q2 @ SV220 @ e @ SV220 ) @ true @ ( ifeq @ ( m2 @ b ) @ true @ ( ifeq @ ( k2 @ a @ a ) @ true @ ( r3 @ a @ a @ e ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1035]) ).

thf(1317,plain,
    ! [SV221: $i] :
      ( ( ( ifeq @ ( p2 @ b @ SV221 @ b ) @ true @ ( ifeq @ ( l2 @ SV221 @ SV221 ) @ true @ ( ifeq @ ( r0 @ SV221 ) @ true @ ( r3 @ SV221 @ b @ SV221 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1036]) ).

thf(1318,plain,
    ! [SV222: $i] :
      ( ( ! [SY889: $i,SY890: $i] :
            ( ( ifeq @ ( r3 @ SV222 @ SV222 @ SV222 ) @ true @ ( ifeq @ ( p3 @ SV222 @ SY889 @ SY890 ) @ true @ ( r3 @ SY889 @ SY889 @ SY889 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1037]) ).

thf(1319,plain,
    ! [SV223: $i] :
      ( ( ! [SY891: $i,SY892: $i] :
            ( ( ifeq @ ( r3 @ SV223 @ SY891 @ SY891 ) @ true @ ( ifeq @ ( r2 @ SV223 ) @ true @ ( ifeq @ ( k2 @ SY892 @ SV223 ) @ true @ ( r3 @ SY891 @ SY892 @ SV223 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1038]) ).

thf(1320,plain,
    ! [SV224: $i] :
      ( ( ! [SY893: $i,SY894: $i,SY895: $i] :
            ( ( ifeq @ ( s2 @ SV224 ) @ true @ ( ifeq @ ( q2 @ SY893 @ SV224 @ SY893 ) @ true @ ( ifeq @ ( m0 @ SY893 @ SY894 @ SY895 ) @ true @ ( s3 @ SV224 @ SY895 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1039]) ).

thf(1321,plain,
    ! [SV225: $i] :
      ( ( ! [SY896: $i] :
            ( ( ifeq @ ( r3 @ SV225 @ e @ SY896 ) @ true @ ( ifeq @ ( q3 @ SV225 @ SV225 ) @ true @ ( ifeq @ ( q1 @ a @ a @ SY896 ) @ true @ ( k4 @ e ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1041]) ).

thf(1322,plain,
    ! [SV226: $i] :
      ( ( ! [SY897: $i,SY898: $i] :
            ( ( ifeq @ ( p3 @ SV226 @ SY897 @ SY898 ) @ true @ ( l4 @ SY898 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1042]) ).

thf(1323,plain,
    ! [SV227: $i] :
      ( ( ! [SY899: $i] :
            ( ( ifeq @ ( l4 @ SV227 ) @ true @ ( ifeq @ ( m0 @ SV227 @ SY899 @ SY899 ) @ true @ ( l4 @ SY899 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1043]) ).

thf(1324,plain,
    ! [SV228: $i] :
      ( ( ! [SY900: $i,SY901: $i] :
            ( ( ifeq @ ( s3 @ a @ SV228 ) @ true @ ( ifeq @ ( l2 @ SY900 @ SY901 ) @ true @ ( m4 @ SV228 @ SY901 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1325,plain,
    ! [SV229: $i] :
      ( ( ! [SY902: $i] :
            ( ( ifeq @ ( n4 @ SV229 @ SV229 ) @ true @ ( ifeq @ ( p3 @ SV229 @ SY902 @ SY902 ) @ true @ ( n4 @ SV229 @ SY902 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1326,plain,
    ! [SV230: $i] :
      ( ( ! [SY903: $i] :
            ( ( ifeq @ ( k4 @ SV230 ) @ true @ ( ifeq @ ( m3 @ SY903 @ SY903 @ SY903 ) @ true @ ( n4 @ SY903 @ SY903 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1048]) ).

thf(1327,plain,
    ! [SV231: $i] :
      ( ( ! [SY904: $i] :
            ( ( ifeq @ ( r3 @ SV231 @ SY904 @ SV231 ) @ true @ ( ifeq @ ( r0 @ SY904 ) @ true @ ( p4 @ SY904 @ SY904 @ SV231 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1049]) ).

thf(1328,plain,
    ! [SV232: $i] :
      ( ( ! [SY905: $i,SY906: $i] :
            ( ( ifeq @ ( q3 @ SV232 @ SY905 ) @ true @ ( ifeq @ ( n3 @ SY906 ) @ true @ ( p4 @ SY906 @ SY906 @ SY906 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1329,plain,
    ! [SV233: $i] :
      ( ( ! [SY907: $i] :
            ( ( ifeq @ ( k3 @ SV233 @ SV233 @ SY907 ) @ true @ ( p4 @ SV233 @ SY907 @ SV233 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1051]) ).

thf(1330,plain,
    ! [SV234: $i] :
      ( ( ! [SY908: $i,SY909: $i,SY910: $i] :
            ( ( ifeq @ ( p4 @ SV234 @ SV234 @ SY908 ) @ true @ ( ifeq @ ( r3 @ SY909 @ SY909 @ SY910 ) @ true @ ( p4 @ SY910 @ SY909 @ SY909 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1052]) ).

thf(1331,plain,
    ! [SV235: $i] :
      ( ( ! [SY911: $i,SY912: $i,SY913: $i] :
            ( ( ifeq @ ( p4 @ SV235 @ SY911 @ SV235 ) @ true @ ( ifeq @ ( l4 @ SY912 ) @ true @ ( ifeq @ ( n0 @ SY912 @ SY913 ) @ true @ ( p4 @ SY912 @ SY912 @ SY912 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1053]) ).

thf(1332,plain,
    ! [SV236: $i] :
      ( ( ! [SY914: $i,SY915: $i] :
            ( ( ifeq @ ( p4 @ SV236 @ SY914 @ SV236 ) @ true @ ( ifeq @ ( m3 @ SY915 @ SY914 @ SV236 ) @ true @ ( p4 @ SV236 @ SV236 @ SV236 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1333,plain,
    ! [SV237: $i] :
      ( ( ! [SY916: $i] :
            ( ( ifeq @ ( p3 @ SV237 @ SV237 @ SY916 ) @ true @ ( p4 @ SY916 @ SY916 @ SY916 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1055]) ).

thf(1334,plain,
    ! [SV238: $i] :
      ( ( ! [SY917: $i,SY918: $i] :
            ( ( ifeq @ ( n4 @ SV238 @ SY917 ) @ true @ ( ifeq @ ( k3 @ SY918 @ SY917 @ SY917 ) @ true @ ( ifeq @ ( p1 @ SY917 @ SY918 @ SV238 ) @ true @ ( p4 @ SV238 @ SV238 @ SV238 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1056]) ).

thf(1335,plain,
    ! [SV239: $i] :
      ( ( ! [SY919: $i,SY920: $i] :
            ( ( ifeq @ ( n4 @ SV239 @ SY919 ) @ true @ ( ifeq @ ( q3 @ SY920 @ SV239 ) @ true @ ( ifeq @ ( l3 @ SY920 @ SY920 ) @ true @ ( p4 @ SY919 @ SY919 @ SY919 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1057]) ).

thf(1336,plain,
    ! [SV240: $i] :
      ( ( ( ifeq @ ( n3 @ a ) @ true @ ( ifeq @ ( m3 @ SV240 @ c @ a ) @ true @ ( p4 @ c @ c @ SV240 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1337,plain,
    ! [SV241: $i] :
      ( ( ! [SY921: $i,SY922: $i,SY923: $i,SY924: $i] :
            ( ( ifeq @ ( m3 @ SV241 @ SY921 @ SV241 ) @ true @ ( ifeq @ ( k3 @ SY922 @ SY922 @ SY923 ) @ true @ ( ifeq @ ( q2 @ SV241 @ SY924 @ SY923 ) @ true @ ( q4 @ SY923 @ SY924 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1059]) ).

thf(1338,plain,
    ! [SV242: $i] :
      ( ( ! [SY925: $i,SY926: $i] :
            ( ( ifeq @ ( q4 @ SV242 @ SY925 ) @ true @ ( ifeq @ ( l4 @ SV242 ) @ true @ ( ifeq @ ( r1 @ SY926 ) @ true @ ( q4 @ SY926 @ SY926 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1339,plain,
    ! [SV243: $i] :
      ( ( ! [SY927: $i,SY928: $i,SY929: $i] :
            ( ( ifeq @ ( q3 @ SV243 @ SY927 ) @ true @ ( ifeq @ ( n3 @ SY928 ) @ true @ ( ifeq @ ( p0 @ SY929 @ SY928 ) @ true @ ( r4 @ SY928 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1062]) ).

thf(1340,plain,
    ! [SV244: $i] :
      ( ( ! [SY930: $i,SY931: $i,SY932: $i] :
            ( ( ifeq @ ( p3 @ SV244 @ SY930 @ SY931 ) @ true @ ( ifeq @ ( l1 @ SY932 @ SY930 ) @ true @ ( s4 @ SY932 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1063]) ).

thf(1341,plain,
    ! [SV245: $i] :
      ( ( ! [SY933: $i,SY934: $i] :
            ( ( ifeq @ ( s4 @ SV245 ) @ true @ ( ifeq @ ( r3 @ SY933 @ SY934 @ SY934 ) @ true @ ( k5 @ SY934 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1064]) ).

thf(1342,plain,
    ! [SV246: $i] :
      ( ( ! [SY935: $i] :
            ( ( ifeq @ ( q4 @ SV246 @ SV246 ) @ true @ ( ifeq @ ( k1 @ SY935 ) @ true @ ( l5 @ SY935 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1066]) ).

thf(1343,plain,
    ! [SV247: $i] :
      ( ( ! [SY936: $i,SY937: $i] :
            ( ( ifeq @ ( p4 @ SV247 @ SY936 @ SY937 ) @ true @ ( ifeq @ ( r0 @ SV247 ) @ true @ ( m5 @ SV247 @ SY937 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1067]) ).

thf(1344,plain,
    ! [SV248: $i] :
      ( ( ( ifeq @ ( k4 @ SV248 ) @ true @ ( m5 @ SV248 @ SV248 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1068]) ).

thf(1345,plain,
    ! [SV249: $i] :
      ( ( ( ifeq @ ( s4 @ SV249 ) @ true @ ( ifeq @ ( m4 @ e @ e ) @ true @ ( m5 @ SV249 @ SV249 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1069]) ).

thf(1346,plain,
    ! [SV250: $i] :
      ( ( ! [SY938: $i] :
            ( ( ifeq @ ( s4 @ SV250 ) @ true @ ( ifeq @ ( r0 @ SY938 ) @ true @ ( m5 @ SY938 @ SY938 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1070]) ).

thf(1347,plain,
    ! [SV251: $i] :
      ( ( ! [SY939: $i,SY940: $i,SY941: $i,SY942: $i] :
            ( ( ifeq @ ( n5 @ SV251 @ SY939 ) @ true @ ( ifeq @ ( q4 @ SY940 @ SY941 ) @ true @ ( ifeq @ ( p4 @ SV251 @ SV251 @ SY939 ) @ true @ ( ifeq @ ( n4 @ SY942 @ SY941 ) @ true @ ( n5 @ SY942 @ SY939 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1071]) ).

thf(1348,plain,
    ! [SV252: $i] :
      ( ( ! [SY943: $i] :
            ( ( ifeq @ ( n5 @ SV252 @ SY943 ) @ true @ ( ifeq @ ( m0 @ SV252 @ SY943 @ SV252 ) @ true @ ( n5 @ SY943 @ SY943 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1072]) ).

thf(1349,plain,
    ! [SV253: $i] :
      ( ( ! [SY944: $i] :
            ( ( ifeq @ ( n4 @ SV253 @ SY944 ) @ true @ ( n5 @ SY944 @ SY944 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1350,plain,
    ! [SV254: $i] :
      ( ( ! [SY945: $i,SY946: $i] :
            ( ( ifeq @ ( k5 @ d ) @ true @ ( ifeq @ ( m4 @ SV254 @ SV254 ) @ true @ ( ifeq @ ( p0 @ SY945 @ SY946 ) @ true @ ( n5 @ SY945 @ SY945 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1351,plain,
    ! [SV255: $i] :
      ( ( ! [SY947: $i] :
            ( ( ifeq @ ( q4 @ SV255 @ SY947 ) @ true @ ( n5 @ SY947 @ SY947 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1077]) ).

thf(1352,plain,
    ! [SV256: $i] :
      ( ( ( ifeq @ ( r4 @ SV256 ) @ true @ ( n5 @ SV256 @ SV256 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1078]) ).

thf(1353,plain,
    ! [SV257: $i] :
      ( ( ( ifeq @ ( k4 @ SV257 ) @ true @ ( ifeq @ ( s1 @ SV257 ) @ true @ ( n5 @ SV257 @ SV257 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1079]) ).

thf(1354,plain,
    ! [SV258: $i] :
      ( ( ! [SY948: $i,SY949: $i] :
            ( ( ifeq @ ( p4 @ b @ b @ SV258 ) @ true @ ( ifeq @ ( p4 @ SY948 @ SY949 @ SY949 ) @ true @ ( ifeq @ ( s1 @ SY949 ) @ true @ ( n5 @ SY949 @ SY949 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1080]) ).

thf(1355,plain,
    ! [SV259: $i] :
      ( ( ( ifeq @ ( n4 @ SV259 @ d ) @ true @ ( ifeq @ ( k3 @ d @ SV259 @ a ) @ true @ ( n5 @ d @ SV259 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1081]) ).

thf(1356,plain,
    ! [SV260: $i] :
      ( ( ! [SY950: $i] :
            ( ( ifeq @ ( s4 @ SV260 ) @ true @ ( ifeq @ ( l2 @ SY950 @ SY950 ) @ true @ ( p5 @ SY950 @ SY950 @ SV260 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1082]) ).

thf(1357,plain,
    ! [SV261: $i] :
      ( ( ! [SY951: $i,SY952: $i] :
            ( ( ifeq @ ( p5 @ SV261 @ SY951 @ SV261 ) @ true @ ( ifeq @ ( m4 @ SY951 @ SY952 ) @ true @ ( ifeq @ ( l2 @ SV261 @ SY951 ) @ true @ ( p5 @ SV261 @ SY952 @ SY952 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1083]) ).

thf(1358,plain,
    ! [SV262: $i] :
      ( ( ! [SY953: $i,SY954: $i] :
            ( ( ifeq @ ( q4 @ SV262 @ SY953 ) @ true @ ( ifeq @ ( s1 @ SY954 ) @ true @ ( p5 @ SY954 @ SV262 @ SY954 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1359,plain,
    ! [SV263: $i] :
      ( ( ! [SY955: $i] :
            ( ( ifeq @ ( k5 @ b ) @ true @ ( ifeq @ ( p4 @ SV263 @ SV263 @ SY955 ) @ true @ ( p5 @ b @ b @ b ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1085]) ).

thf(1360,plain,
    ! [SV264: $i] :
      ( ( ! [SY956: $i] :
            ( ( ifeq @ ( s4 @ SV264 ) @ true @ ( ifeq @ ( m2 @ SY956 ) @ true @ ( q5 @ SV264 @ SY956 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1086]) ).

thf(1361,plain,
    ! [SV265: $i] :
      ( ( ( ifeq @ ( l4 @ SV265 ) @ true @ ( q5 @ SV265 @ SV265 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1088]) ).

thf(1362,plain,
    ! [SV266: $i] :
      ( ( ( ifeq @ ( q4 @ SV266 @ SV266 ) @ true @ ( q5 @ SV266 @ SV266 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1089]) ).

thf(1363,plain,
    ! [SV267: $i] :
      ( ( ( ifeq @ ( m4 @ SV267 @ SV267 ) @ true @ ( q5 @ SV267 @ SV267 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1364,plain,
    ! [SV268: $i] :
      ( ( ! [SY957: $i] :
            ( ( ifeq @ ( s4 @ SV268 ) @ true @ ( ifeq @ ( n3 @ SY957 ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( r5 @ SV268 @ SY957 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1365,plain,
    ! [SV269: $i] :
      ( ( ( ifeq @ ( k4 @ SV269 ) @ true @ ( r5 @ SV269 @ SV269 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1366,plain,
    ! [SV270: $i] :
      ( ( ! [SY958: $i] :
            ( ( ifeq @ ( r4 @ SV270 ) @ true @ ( ifeq @ ( l4 @ SY958 ) @ true @ ( s5 @ SY958 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1093]) ).

thf(1367,plain,
    ! [SV271: $i] :
      ( ( ! [SY959: $i,SY960: $i] :
            ( ( ifeq @ ( s5 @ SV271 ) @ true @ ( ifeq @ ( l5 @ SV271 ) @ true @ ( ifeq @ ( k4 @ SY959 ) @ true @ ( ifeq @ ( s3 @ SY959 @ SY960 ) @ true @ ( s5 @ SY959 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1094]) ).

thf(1368,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1369,plain,
    ! [SV272: $i,SV1: $i] :
      ( ( ! [SY961: $i] :
            ( ( ifeq @ SV1 @ SV1 @ SV272 @ SY961 )
            = SV272 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1097]) ).

thf(1370,plain,
    ! [SV273: $i,SV5: $i] :
      ( ( ( m0 @ SV5 @ d @ SV273 )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1371,plain,
    ! [SV274: $i,SV6: $i] :
      ( ( ( ifeq @ ( n0 @ SV6 @ SV274 ) @ true @ ( k1 @ SV274 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1102]) ).

thf(1372,plain,
    ! [SV275: $i,SV7: $i] :
      ( ( ( ifeq @ ( n0 @ SV7 @ SV275 ) @ true @ ( l1 @ SV275 @ SV275 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1373,plain,
    ! [SV276: $i,SV8: $i] :
      ( ( ! [SY962: $i,SY963: $i] :
            ( ( ifeq @ ( p0 @ SV8 @ SV276 ) @ true @ ( ifeq @ ( r0 @ SY962 ) @ true @ ( ifeq @ ( m0 @ SY963 @ SV276 @ SV8 ) @ true @ ( l1 @ SV276 @ SY963 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1374,plain,
    ! [SV277: $i,SV9: $i] :
      ( ( ( ifeq @ ( l0 @ SV9 ) @ true @ ( ifeq @ ( l1 @ SV9 @ SV9 ) @ true @ ( ifeq @ ( k1 @ SV277 ) @ true @ ( l1 @ SV277 @ SV277 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1375,plain,
    ! [SV278: $i,SV10: $i] :
      ( ( ( ifeq @ ( m0 @ SV10 @ SV10 @ SV278 ) @ true @ ( m1 @ SV278 @ SV10 @ SV278 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1106]) ).

thf(1376,plain,
    ! [SV279: $i,SV11: $i] :
      ( ( ( ifeq @ ( m0 @ SV11 @ SV11 @ SV279 ) @ true @ ( m1 @ SV279 @ SV279 @ SV279 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1377,plain,
    ! [SV280: $i,SV12: $i] :
      ( ( ! [SY964: $i] :
            ( ( ifeq @ ( p0 @ SV12 @ SV280 ) @ true @ ( ifeq @ ( r0 @ SY964 ) @ true @ ( m1 @ SY964 @ SV280 @ SY964 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1378,plain,
    ! [SV281: $i,SV13: $i] :
      ( ( ! [SY965: $i] :
            ( ( ifeq @ ( r0 @ SV13 ) @ true @ ( ifeq @ ( q0 @ SV281 @ SY965 ) @ true @ ( ifeq @ ( s0 @ SV13 ) @ true @ ( m1 @ SY965 @ SY965 @ SY965 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1379,plain,
    ! [SV282: $i,SV14: $i] :
      ( ( ( ifeq @ ( p0 @ SV14 @ SV282 ) @ true @ ( ifeq @ ( l1 @ c @ c ) @ true @ ( ifeq @ ( n0 @ SV14 @ SV14 ) @ true @ ( m1 @ SV282 @ SV282 @ c ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1380,plain,
    ! [SV283: $i,SV15: $i] :
      ( ( ( ifeq @ ( k0 @ SV15 ) @ true @ ( ifeq @ ( n0 @ SV283 @ SV283 ) @ true @ ( m1 @ SV15 @ SV15 @ SV283 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1381,plain,
    ! [SV284: $i,SV16: $i] :
      ( ( ( ifeq @ ( q0 @ SV16 @ SV284 ) @ true @ ( m1 @ SV284 @ SV284 @ SV284 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1382,plain,
    ! [SV285: $i,SV17: $i] :
      ( ( ! [SY966: $i] :
            ( ( ifeq @ ( m0 @ SV17 @ SV285 @ SY966 ) @ true @ ( m1 @ SY966 @ SY966 @ SY966 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1113]) ).

thf(1383,plain,
    ! [SV286: $i,SV18: $i] :
      ( ( ! [SY967: $i] :
            ( ( ifeq @ ( l0 @ SV18 ) @ true @ ( ifeq @ ( m0 @ SV286 @ SV286 @ SY967 ) @ true @ ( m1 @ SY967 @ SV286 @ SV286 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1384,plain,
    ! [SV287: $i,SV19: $i] :
      ( ( ! [SY968: $i,SY969: $i] :
            ( ( ifeq @ ( m1 @ SV19 @ SV287 @ SY968 ) @ true @ ( ifeq @ ( m1 @ SV19 @ SY968 @ SY969 ) @ true @ ( m1 @ SY969 @ SY968 @ SY968 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1115]) ).

thf(1385,plain,
    ! [SV288: $i,SV20: $i] :
      ( ( ( ifeq @ ( q0 @ SV20 @ d ) @ true @ ( ifeq @ ( s0 @ SV288 ) @ true @ ( m1 @ SV288 @ SV288 @ SV288 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1386,plain,
    ! [SV289: $i,SV21: $i] :
      ( ( ! [SY970: $i] :
            ( ( ifeq @ ( q0 @ SV21 @ SV289 ) @ true @ ( ifeq @ ( q0 @ SV21 @ SY970 ) @ true @ ( m1 @ SY970 @ SY970 @ SY970 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1117]) ).

thf(1387,plain,
    ! [SV290: $i,SV22: $i] :
      ( ( ( ifeq @ ( p0 @ SV22 @ SV290 ) @ true @ ( ifeq @ ( r0 @ c ) @ true @ ( ifeq @ ( q0 @ SV290 @ d ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( m1 @ SV22 @ SV290 @ c ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1388,plain,
    ! [SV291: $i,SV23: $i] :
      ( ( ( ifeq @ ( k0 @ SV23 ) @ true @ ( ifeq @ ( l0 @ SV291 ) @ true @ ( m1 @ SV291 @ SV23 @ SV291 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1389,plain,
    ! [SV292: $i,SV24: $i] :
      ( ( ! [SY971: $i] :
            ( ( ifeq @ ( m1 @ SV24 @ c @ SV24 ) @ true @ ( ifeq @ ( m0 @ a @ SV292 @ a ) @ true @ ( ifeq @ ( q0 @ SY971 @ SV24 ) @ true @ ( m1 @ SY971 @ a @ SV24 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1120]) ).

thf(1390,plain,
    ! [SV293: $i,SV25: $i] :
      ( ( ! [SY972: $i] :
            ( ( ifeq @ ( m0 @ SV25 @ SV293 @ SY972 ) @ true @ ( m1 @ SY972 @ SY972 @ SY972 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1391,plain,
    ! [SV294: $i,SV26: $i] :
      ( ( ( ifeq @ ( l0 @ SV26 ) @ true @ ( ifeq @ ( l0 @ SV294 ) @ true @ ( ifeq @ ( p0 @ SV26 @ d ) @ true @ ( m1 @ SV294 @ SV294 @ SV294 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1392,plain,
    ! [SV295: $i,SV28: $i] :
      ( ( ( ifeq @ ( p0 @ SV28 @ SV295 ) @ true @ ( ifeq @ ( s0 @ SV28 ) @ true @ ( m1 @ SV28 @ SV295 @ SV28 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1393,plain,
    ! [SV296: $i,SV31: $i] :
      ( ( ! [SY973: $i] :
            ( ( ifeq @ ( m1 @ SV31 @ SV296 @ SY973 ) @ true @ ( ifeq @ ( q0 @ SV296 @ SV296 ) @ true @ ( m1 @ SY973 @ SY973 @ SY973 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1127]) ).

thf(1394,plain,
    ! [SV297: $i,SV32: $i] :
      ( ( ( ifeq @ ( q0 @ SV32 @ SV32 ) @ true @ ( ifeq @ ( k1 @ a ) @ true @ ( ifeq @ ( k1 @ SV297 ) @ true @ ( m1 @ SV32 @ SV297 @ SV297 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1395,plain,
    ! [SV298: $i,SV33: $i] :
      ( ( ( ifeq @ ( l0 @ SV33 ) @ true @ ( ifeq @ ( r0 @ SV298 ) @ true @ ( m1 @ SV298 @ SV33 @ SV298 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1129]) ).

thf(1396,plain,
    ! [SV299: $i,SV34: $i] :
      ( ( ( ifeq @ ( m0 @ b @ SV34 @ SV299 ) @ true @ ( n1 @ SV299 @ SV299 @ SV34 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1130]) ).

thf(1397,plain,
    ! [SV300: $i,SV35: $i] :
      ( ( ! [SY974: $i] :
            ( ( ifeq @ ( l0 @ SV35 ) @ true @ ( ifeq @ ( p0 @ SV300 @ SY974 ) @ true @ ( ifeq @ ( r0 @ SY974 ) @ true @ ( n1 @ SY974 @ SV35 @ SY974 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1398,plain,
    ! [SV301: $i,SV37: $i] :
      ( ( ( ifeq @ ( m0 @ SV37 @ SV301 @ c ) @ true @ ( n1 @ SV301 @ c @ SV301 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1399,plain,
    ! [SV302: $i,SV38: $i] :
      ( ( ( ifeq @ ( m0 @ SV38 @ SV302 @ e ) @ true @ ( ifeq @ ( k1 @ SV38 ) @ true @ ( n1 @ SV38 @ e @ e ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1134]) ).

thf(1400,plain,
    ! [SV303: $i,SV40: $i] :
      ( ( ! [SY975: $i,SY976: $i] :
            ( ( ifeq @ ( k0 @ SV40 ) @ true @ ( ifeq @ ( m0 @ SV303 @ SY975 @ SV303 ) @ true @ ( ifeq @ ( q0 @ SY976 @ SY975 ) @ true @ ( n1 @ SV40 @ SV40 @ SV40 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1401,plain,
    ! [SV304: $i,SV42: $i] :
      ( ( ! [SY977: $i] :
            ( ( ifeq @ ( p0 @ SV42 @ SV304 ) @ true @ ( ifeq @ ( p0 @ SY977 @ SY977 ) @ true @ ( n1 @ SY977 @ SV42 @ SY977 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1402,plain,
    ! [SV305: $i,SV43: $i] :
      ( ( ! [SY978: $i] :
            ( ( ifeq @ ( m1 @ SV43 @ SV305 @ SY978 ) @ true @ ( ifeq @ ( k0 @ SV43 ) @ true @ ( n1 @ SY978 @ SY978 @ SY978 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1403,plain,
    ! [SV306: $i,SV44: $i] :
      ( ( ( ifeq @ ( p0 @ SV44 @ SV44 ) @ true @ ( ifeq @ ( r0 @ SV306 ) @ true @ ( ifeq @ ( l1 @ SV44 @ d ) @ true @ ( n1 @ SV306 @ d @ SV44 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1404,plain,
    ! [SV307: $i,SV45: $i] :
      ( ( ( ifeq @ ( l0 @ SV45 ) @ true @ ( ifeq @ ( p0 @ b @ SV307 ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ SV45 @ SV307 @ SV45 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1405,plain,
    ! [SV308: $i,SV46: $i] :
      ( ( ( ifeq @ ( n1 @ SV46 @ SV308 @ SV46 ) @ true @ ( ifeq @ ( m1 @ c @ SV308 @ SV46 ) @ true @ ( ifeq @ ( m0 @ b @ SV46 @ c ) @ true @ ( n1 @ SV308 @ SV308 @ SV308 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1142]) ).

thf(1406,plain,
    ! [SV309: $i,SV47: $i] :
      ( ( ! [SY979: $i] :
            ( ( ifeq @ ( p0 @ SV47 @ SV309 ) @ true @ ( ifeq @ ( m0 @ SV309 @ SV309 @ SV309 ) @ true @ ( ifeq @ ( s0 @ SY979 ) @ true @ ( ifeq @ ( k1 @ SY979 ) @ true @ ( n1 @ SY979 @ SY979 @ SY979 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1143]) ).

thf(1407,plain,
    ! [SV310: $i,SV49: $i] :
      ( ( ! [SY980: $i] :
            ( ( ifeq @ ( n1 @ SV49 @ SV310 @ SV49 ) @ true @ ( ifeq @ ( l0 @ SY980 ) @ true @ ( ifeq @ ( l1 @ SY980 @ SV49 ) @ true @ ( n1 @ SV49 @ SV310 @ SV310 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1145]) ).

thf(1408,plain,
    ! [SV311: $i,SV51: $i] :
      ( ( ( ifeq @ ( l1 @ SV51 @ SV311 ) @ true @ ( ifeq @ ( n0 @ SV51 @ SV311 ) @ true @ ( n1 @ SV311 @ SV311 @ SV311 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1409,plain,
    ! [SV312: $i,SV52: $i] :
      ( ( ! [SY981: $i,SY982: $i] :
            ( ( ifeq @ ( m0 @ SV52 @ SV312 @ SV312 ) @ true @ ( ifeq @ ( m0 @ SY981 @ SV52 @ SY982 ) @ true @ ( n1 @ SY982 @ SY982 @ SY981 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1410,plain,
    ! [SV313: $i,SV54: $i] :
      ( ( ! [SY983: $i] :
            ( ( ifeq @ ( n1 @ SV54 @ SV313 @ SV54 ) @ true @ ( ifeq @ ( m0 @ SV54 @ SV54 @ SY983 ) @ true @ ( n1 @ SV313 @ SV313 @ SV313 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1411,plain,
    ! [SV314: $i,SV55: $i] :
      ( ( ( ifeq @ ( k0 @ SV55 ) @ true @ ( ifeq @ ( n0 @ d @ SV314 ) @ true @ ( p1 @ SV314 @ SV314 @ SV55 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1412,plain,
    ! [SV315: $i,SV56: $i] :
      ( ( ! [SY984: $i] :
            ( ( ifeq @ ( l0 @ SV56 ) @ true @ ( ifeq @ ( m0 @ SV315 @ SY984 @ b ) @ true @ ( p1 @ SV56 @ SV56 @ SV56 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1413,plain,
    ! [SV316: $i,SV57: $i] :
      ( ( ( ifeq @ ( p0 @ SV57 @ SV316 ) @ true @ ( ifeq @ ( l1 @ SV316 @ SV316 ) @ true @ ( ifeq @ ( n0 @ SV316 @ SV316 ) @ true @ ( p1 @ SV57 @ SV57 @ SV57 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1414,plain,
    ! [SV317: $i,SV58: $i] :
      ( ( ( ifeq @ ( n0 @ SV58 @ SV317 ) @ true @ ( p1 @ SV317 @ SV317 @ SV317 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1154]) ).

thf(1415,plain,
    ! [SV318: $i,SV59: $i] :
      ( ( ( ifeq @ ( q0 @ SV59 @ SV318 ) @ true @ ( p1 @ SV318 @ SV318 @ SV318 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1416,plain,
    ! [SV319: $i,SV61: $i] :
      ( ( ( ifeq @ ( p0 @ SV61 @ SV319 ) @ true @ ( p1 @ SV319 @ SV319 @ SV61 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1417,plain,
    ! [SV320: $i,SV62: $i] :
      ( ( ! [SY985: $i,SY986: $i] :
            ( ( ifeq @ ( p1 @ SV62 @ SV320 @ SY985 ) @ true @ ( ifeq @ ( l0 @ SY986 ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ SY985 @ SV62 @ SY985 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1418,plain,
    ! [SV321: $i,SV63: $i] :
      ( ( ( ifeq @ ( s0 @ SV63 ) @ true @ ( ifeq @ ( s0 @ SV321 ) @ true @ ( p1 @ SV321 @ SV321 @ SV321 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1419,plain,
    ! [SV322: $i,SV64: $i] :
      ( ( ( ifeq @ ( k0 @ b ) @ true @ ( ifeq @ ( k0 @ SV64 ) @ true @ ( ifeq @ ( k1 @ SV322 ) @ true @ ( ifeq @ ( n0 @ e @ b ) @ true @ ( p1 @ SV64 @ SV64 @ SV64 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1420,plain,
    ! [SV323: $i,SV65: $i] :
      ( ( ( ifeq @ ( p0 @ SV65 @ SV323 ) @ true @ ( ifeq @ ( r0 @ SV323 ) @ true @ ( p1 @ SV323 @ SV323 @ SV65 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1421,plain,
    ! [SV324: $i,SV67: $i] :
      ( ( ! [SY987: $i,SY988: $i] :
            ( ( ifeq @ ( n1 @ SV67 @ SV324 @ SY987 ) @ true @ ( ifeq @ ( l0 @ SY988 ) @ true @ ( ifeq @ ( n0 @ SV67 @ SV67 ) @ true @ ( p1 @ SY987 @ SY987 @ SY987 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1422,plain,
    ! [SV325: $i,SV68: $i] :
      ( ( ! [SY989: $i,SY990: $i,SY991: $i] :
            ( ( ifeq @ ( m1 @ SV68 @ SV325 @ SY989 ) @ true @ ( ifeq @ ( l0 @ SY990 ) @ true @ ( ifeq @ ( q0 @ SV325 @ SY991 ) @ true @ ( p1 @ SY989 @ SY989 @ SY989 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1423,plain,
    ! [SV326: $i,SV69: $i] :
      ( ( ! [SY992: $i,SY993: $i] :
            ( ( ifeq @ ( p1 @ SV69 @ SV326 @ SY992 ) @ true @ ( ifeq @ ( m0 @ SV69 @ SV326 @ SY992 ) @ true @ ( p1 @ SV326 @ SY993 @ SV69 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1424,plain,
    ! [SV327: $i,SV70: $i] :
      ( ( ( ifeq @ ( m1 @ SV70 @ SV327 @ b ) @ true @ ( ifeq @ ( k0 @ SV327 ) @ true @ ( p1 @ SV70 @ b @ SV327 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1166]) ).

thf(1425,plain,
    ! [SV328: $i,SV71: $i] :
      ( ( ( ifeq @ ( m0 @ b @ SV71 @ b ) @ true @ ( ifeq @ ( l1 @ SV328 @ b ) @ true @ ( p1 @ SV328 @ SV328 @ SV328 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1426,plain,
    ! [SV329: $i,SV72: $i] :
      ( ( ( ifeq @ ( p0 @ SV72 @ SV329 ) @ true @ ( p1 @ SV329 @ SV329 @ SV329 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1427,plain,
    ! [SV330: $i,SV73: $i] :
      ( ( ! [SY994: $i] :
            ( ( ifeq @ ( l0 @ SV73 ) @ true @ ( ifeq @ ( m0 @ SV330 @ SY994 @ SV73 ) @ true @ ( p1 @ SV73 @ SV73 @ SV73 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1428,plain,
    ! [SV331: $i,SV75: $i] :
      ( ( ! [SY995: $i,SY996: $i,SY997: $i] :
            ( ( ifeq @ ( n1 @ SV75 @ SV331 @ SY995 ) @ true @ ( ifeq @ ( q0 @ SV75 @ SY996 ) @ true @ ( ifeq @ ( k1 @ SY997 ) @ true @ ( p1 @ SV331 @ SV331 @ SV331 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1429,plain,
    ! [SV332: $i,SV76: $i] :
      ( ( ! [SY998: $i,SY999: $i] :
            ( ( ifeq @ ( p0 @ SV76 @ SV332 ) @ true @ ( ifeq @ ( n0 @ SY998 @ SY999 ) @ true @ ( q1 @ SV332 @ SY999 @ SV332 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1430,plain,
    ! [SV333: $i,SV77: $i] :
      ( ( ( ifeq @ ( q0 @ SV77 @ SV333 ) @ true @ ( q1 @ SV333 @ SV333 @ SV333 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1431,plain,
    ! [SV334: $i,SV78: $i] :
      ( ( ( ifeq @ ( p0 @ SV78 @ SV334 ) @ true @ ( q1 @ SV334 @ SV78 @ SV78 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1432,plain,
    ! [SV335: $i,SV79: $i] :
      ( ( ! [SY1000: $i,SY1001: $i] :
            ( ( ifeq @ ( q1 @ SV79 @ SV335 @ SY1000 ) @ true @ ( ifeq @ ( n1 @ SV335 @ SY1000 @ SY1000 ) @ true @ ( ifeq @ ( m1 @ SY1001 @ SY1000 @ SV335 ) @ true @ ( ifeq @ ( p0 @ SV335 @ SV79 ) @ true @ ( q1 @ SY1001 @ SY1001 @ SY1001 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1433,plain,
    ! [SV336: $i,SV81: $i] :
      ( ( ! [SY1002: $i] :
            ( ( ifeq @ ( m0 @ SV81 @ SV81 @ SV336 ) @ true @ ( ifeq @ ( s0 @ SY1002 ) @ true @ ( q1 @ SY1002 @ SY1002 @ SY1002 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1434,plain,
    ! [SV337: $i,SV82: $i] :
      ( ( ! [SY1003: $i] :
            ( ( ifeq @ ( q1 @ SV82 @ SV82 @ SV337 ) @ true @ ( ifeq @ ( k0 @ SV337 ) @ true @ ( ifeq @ ( l0 @ SY1003 ) @ true @ ( q1 @ SY1003 @ SV82 @ SV82 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1435,plain,
    ! [SV338: $i,SV83: $i] :
      ( ( ( ifeq @ ( n0 @ SV83 @ SV338 ) @ true @ ( q1 @ SV338 @ SV338 @ SV338 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1436,plain,
    ! [SV339: $i,SV85: $i] :
      ( ( ( ifeq @ ( k0 @ SV85 ) @ true @ ( ifeq @ ( l0 @ SV339 ) @ true @ ( q1 @ SV85 @ SV85 @ SV85 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1437,plain,
    ! [SV340: $i,SV87: $i] :
      ( ( ! [SY1004: $i,SY1005: $i] :
            ( ( ifeq @ ( l0 @ SV87 ) @ true @ ( ifeq @ ( p0 @ SV340 @ SV87 ) @ true @ ( ifeq @ ( r0 @ SY1004 ) @ true @ ( ifeq @ ( q0 @ SY1005 @ SY1005 ) @ true @ ( q1 @ SV87 @ SY1005 @ SV87 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1438,plain,
    ! [SV341: $i,SV88: $i] :
      ( ( ( ifeq @ ( p0 @ SV88 @ d ) @ true @ ( ifeq @ ( s0 @ SV341 ) @ true @ ( q1 @ SV341 @ SV341 @ SV88 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1439,plain,
    ! [SV342: $i,SV91: $i] :
      ( ( ! [SY1006: $i] :
            ( ( ifeq @ ( p1 @ SV91 @ b @ b ) @ true @ ( ifeq @ ( p0 @ SV342 @ SY1006 ) @ true @ ( ifeq @ ( q0 @ b @ b ) @ true @ ( q1 @ SV91 @ SV91 @ SV91 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1440,plain,
    ! [SV343: $i,SV92: $i] :
      ( ( ! [SY1007: $i] :
            ( ( ifeq @ ( p0 @ SV92 @ SV92 ) @ true @ ( ifeq @ ( q0 @ SV343 @ SY1007 ) @ true @ ( ifeq @ ( k1 @ SY1007 ) @ true @ ( q1 @ SY1007 @ SY1007 @ SV343 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1441,plain,
    ! [SV344: $i,SV93: $i] :
      ( ( ! [SY1008: $i] :
            ( ( ifeq @ ( m0 @ SV93 @ SV344 @ SY1008 ) @ true @ ( q1 @ SY1008 @ SY1008 @ SY1008 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1442,plain,
    ! [SV345: $i,SV95: $i] :
      ( ( ! [SY1009: $i] :
            ( ( ifeq @ ( m1 @ SV95 @ SV345 @ SV345 ) @ true @ ( ifeq @ ( r0 @ SY1009 ) @ true @ ( q1 @ SV95 @ SV95 @ SV345 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1443,plain,
    ! [SV346: $i,SV96: $i] :
      ( ( ( ifeq @ ( k0 @ SV96 ) @ true @ ( ifeq @ ( m0 @ SV346 @ SV346 @ SV96 ) @ true @ ( q1 @ SV346 @ SV346 @ SV346 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1444,plain,
    ! [SV347: $i,SV98: $i] :
      ( ( ( ifeq @ ( n1 @ SV98 @ d @ SV347 ) @ true @ ( ifeq @ ( p0 @ b @ d ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( q1 @ SV347 @ SV347 @ SV347 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1194]) ).

thf(1445,plain,
    ! [SV348: $i,SV100: $i] :
      ( ( ! [SY1010: $i] :
            ( ( ifeq @ ( m0 @ SV100 @ SV348 @ SY1010 ) @ true @ ( q1 @ SY1010 @ SY1010 @ SY1010 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1196]) ).

thf(1446,plain,
    ! [SV349: $i,SV101: $i] :
      ( ( ( ifeq @ ( m0 @ SV101 @ SV349 @ SV101 ) @ true @ ( q1 @ SV101 @ SV101 @ SV101 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1447,plain,
    ! [SV350: $i,SV103: $i] :
      ( ( ( ifeq @ ( q1 @ d @ SV103 @ d ) @ true @ ( ifeq @ ( q0 @ SV350 @ SV103 ) @ true @ ( ifeq @ ( s0 @ d ) @ true @ ( r1 @ SV350 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1199]) ).

thf(1448,plain,
    ! [SV351: $i,SV105: $i] :
      ( ( ! [SY1011: $i] :
            ( ( ifeq @ ( s1 @ SV105 ) @ true @ ( ifeq @ ( q0 @ SV351 @ SY1011 ) @ true @ ( s1 @ SV351 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1449,plain,
    ! [SV352: $i,SV106: $i] :
      ( ( ! [SY1012: $i,SY1013: $i] :
            ( ( ifeq @ ( k2 @ SV106 @ SV352 ) @ true @ ( ifeq @ ( m1 @ SY1012 @ SV352 @ SY1013 ) @ true @ ( ifeq @ ( k1 @ SV106 ) @ true @ ( k2 @ SY1013 @ SV352 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1450,plain,
    ! [SV353: $i,SV108: $i] :
      ( ( ( ifeq @ ( q1 @ SV108 @ SV353 @ SV353 ) @ true @ ( k2 @ SV353 @ SV353 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1204]) ).

thf(1451,plain,
    ! [SV354: $i,SV109: $i] :
      ( ( ( ifeq @ ( l2 @ SV109 @ SV109 ) @ true @ ( ifeq @ ( s1 @ SV354 ) @ true @ ( ifeq @ ( n0 @ e @ SV109 ) @ true @ ( l2 @ SV354 @ SV109 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1205]) ).

thf(1452,plain,
    ! [SV355: $i,SV110: $i] :
      ( ( ! [SY1014: $i,SY1015: $i] :
            ( ( ifeq @ ( s1 @ SV110 ) @ true @ ( ifeq @ ( p0 @ SV355 @ SV355 ) @ true @ ( ifeq @ ( m0 @ SY1014 @ SV110 @ SY1015 ) @ true @ ( l2 @ SY1015 @ SY1015 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1206]) ).

thf(1453,plain,
    ! [SV356: $i,SV111: $i] :
      ( ( ! [SY1016: $i] :
            ( ( ifeq @ ( m1 @ SV111 @ SV356 @ SV356 ) @ true @ ( ifeq @ ( p0 @ SV356 @ SY1016 ) @ true @ ( ifeq @ ( m0 @ SV356 @ SY1016 @ SV111 ) @ true @ ( l2 @ SY1016 @ SY1016 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1207]) ).

thf(1454,plain,
    ! [SV357: $i,SV112: $i] :
      ( ( ! [SY1017: $i] :
            ( ( ifeq @ ( s0 @ SV112 ) @ true @ ( ifeq @ ( l1 @ SV357 @ SY1017 ) @ true @ ( m2 @ SV112 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1208]) ).

thf(1455,plain,
    ! [SV358: $i,SV113: $i] :
      ( ( ! [SY1018: $i] :
            ( ( ifeq @ ( p1 @ SV113 @ SV358 @ SY1018 ) @ true @ ( n2 @ SY1018 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1456,plain,
    ! [SV359: $i,SV114: $i] :
      ( ( ( ifeq @ ( r1 @ b ) @ true @ ( ifeq @ ( p1 @ b @ SV114 @ SV359 ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( n2 @ e ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1457,plain,
    ! [SV360: $i,SV116: $i] :
      ( ( ( ifeq @ ( l2 @ a @ SV116 ) @ true @ ( ifeq @ ( k2 @ SV360 @ a ) @ true @ ( ifeq @ ( k0 @ SV116 ) @ true @ ( ifeq @ ( k1 @ SV116 ) @ true @ ( p2 @ SV360 @ SV360 @ SV360 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1212]) ).

thf(1458,plain,
    ! [SV361: $i,SV118: $i] :
      ( ( ( ifeq @ ( p1 @ SV118 @ SV361 @ e ) @ true @ ( ifeq @ ( r0 @ e ) @ true @ ( p2 @ e @ SV118 @ SV361 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1214]) ).

thf(1459,plain,
    ! [SV362: $i,SV119: $i] :
      ( ( ! [SY1019: $i,SY1020: $i] :
            ( ( ifeq @ ( p2 @ SV119 @ SV362 @ SV119 ) @ true @ ( ifeq @ ( p1 @ SV119 @ SY1019 @ SY1020 ) @ true @ ( ifeq @ ( l1 @ SY1019 @ SY1020 ) @ true @ ( p2 @ SV119 @ SV362 @ SV362 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1215]) ).

thf(1460,plain,
    ! [SV363: $i,SV120: $i] :
      ( ( ! [SY1021: $i] :
            ( ( ifeq @ ( p2 @ SV120 @ SV363 @ SV120 ) @ true @ ( ifeq @ ( m1 @ SV120 @ SY1021 @ SV363 ) @ true @ ( p2 @ SV363 @ SV363 @ SV363 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1461,plain,
    ! [SV364: $i,SV121: $i] :
      ( ( ( ifeq @ ( r1 @ a ) @ true @ ( ifeq @ ( m0 @ SV121 @ SV364 @ d ) @ true @ ( p2 @ SV364 @ SV364 @ d ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1217]) ).

thf(1462,plain,
    ! [SV365: $i,SV122: $i] :
      ( ( ( ifeq @ ( m1 @ SV122 @ SV122 @ SV365 ) @ true @ ( p2 @ SV365 @ SV365 @ SV365 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1218]) ).

thf(1463,plain,
    ! [SV366: $i,SV123: $i] :
      ( ( ! [SY1022: $i] :
            ( ( ifeq @ ( p2 @ SV123 @ SV366 @ SV123 ) @ true @ ( ifeq @ ( n1 @ SY1022 @ SV366 @ SY1022 ) @ true @ ( ifeq @ ( p0 @ SV123 @ SV366 ) @ true @ ( p2 @ SV123 @ SV366 @ SV366 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1219]) ).

thf(1464,plain,
    ! [SV367: $i,SV126: $i] :
      ( ( ! [SY1023: $i] :
            ( ( ifeq @ ( p2 @ e @ SV126 @ SV367 ) @ true @ ( ifeq @ ( k1 @ SY1023 ) @ true @ ( p2 @ SV126 @ SV367 @ SV367 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1222]) ).

thf(1465,plain,
    ! [SV368: $i,SV127: $i] :
      ( ( ( ifeq @ ( q1 @ a @ SV127 @ SV368 ) @ true @ ( ifeq @ ( n1 @ e @ SV368 @ a ) @ true @ ( p2 @ SV368 @ e @ SV127 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1223]) ).

thf(1466,plain,
    ! [SV369: $i,SV129: $i] :
      ( ( ! [SY1024: $i] :
            ( ( ifeq @ ( p2 @ SV129 @ SV369 @ SV129 ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q1 @ c @ SV129 @ SV369 ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( p2 @ SV129 @ SV129 @ SY1024 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1225]) ).

thf(1467,plain,
    ! [SV370: $i,SV131: $i] :
      ( ( ! [SY1025: $i] :
            ( ( ifeq @ ( p2 @ a @ SV131 @ SV370 ) @ true @ ( ifeq @ ( m1 @ a @ a @ SY1025 ) @ true @ ( p2 @ SV370 @ SV370 @ SV370 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1227]) ).

thf(1468,plain,
    ! [SV371: $i,SV133: $i] :
      ( ( ( ifeq @ ( k2 @ SV133 @ c ) @ true @ ( ifeq @ ( q1 @ SV371 @ c @ SV371 ) @ true @ ( p2 @ SV133 @ SV133 @ SV133 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1229]) ).

thf(1469,plain,
    ! [SV372: $i,SV134: $i] :
      ( ( ! [SY1026: $i] :
            ( ( ifeq @ ( p2 @ SV134 @ SV372 @ SY1026 ) @ true @ ( ifeq @ ( r1 @ SV372 ) @ true @ ( ifeq @ ( p0 @ SY1026 @ SY1026 ) @ true @ ( p2 @ SY1026 @ SY1026 @ SY1026 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1230]) ).

thf(1470,plain,
    ! [SV373: $i,SV135: $i] :
      ( ( ! [SY1027: $i] :
            ( ( ifeq @ ( p2 @ SV135 @ SV135 @ SV373 ) @ true @ ( ifeq @ ( q1 @ SV135 @ SV373 @ SV135 ) @ true @ ( p2 @ SY1027 @ SY1027 @ SY1027 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1231]) ).

thf(1471,plain,
    ! [SV374: $i,SV138: $i] :
      ( ( ! [SY1028: $i] :
            ( ( ifeq @ ( q1 @ SV138 @ SV138 @ SV138 ) @ true @ ( ifeq @ ( p1 @ SV374 @ SY1028 @ SV374 ) @ true @ ( p2 @ SV374 @ SV374 @ SV374 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1234]) ).

thf(1472,plain,
    ! [SV375: $i,SV140: $i] :
      ( ( ( ifeq @ ( n1 @ SV140 @ SV140 @ SV140 ) @ true @ ( ifeq @ ( p0 @ SV375 @ SV375 ) @ true @ ( p2 @ SV375 @ SV375 @ SV375 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1236]) ).

thf(1473,plain,
    ! [SV376: $i,SV141: $i] :
      ( ( ( ifeq @ ( r1 @ SV141 ) @ true @ ( ifeq @ ( r0 @ SV376 ) @ true @ ( p2 @ SV376 @ SV376 @ SV376 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1237]) ).

thf(1474,plain,
    ! [SV377: $i,SV143: $i] :
      ( ( ( ifeq @ ( l1 @ SV143 @ SV377 ) @ true @ ( p2 @ SV377 @ SV377 @ SV377 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1475,plain,
    ! [SV378: $i,SV144: $i] :
      ( ( ( ifeq @ ( m1 @ SV144 @ SV378 @ SV144 ) @ true @ ( p2 @ SV378 @ SV144 @ SV378 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1476,plain,
    ! [SV379: $i,SV145: $i] :
      ( ( ( ifeq @ ( p1 @ SV145 @ SV145 @ SV145 ) @ true @ ( ifeq @ ( k0 @ SV379 ) @ true @ ( q2 @ SV145 @ SV379 @ SV379 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1477,plain,
    ! [SV380: $i,SV146: $i] :
      ( ( ! [SY1029: $i] :
            ( ( ifeq @ ( n1 @ SV146 @ SV380 @ SY1029 ) @ true @ ( ifeq @ ( q0 @ SV146 @ SV380 ) @ true @ ( q2 @ SV380 @ SV380 @ SV380 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1242]) ).

thf(1478,plain,
    ! [SV381: $i,SV147: $i] :
      ( ( ( ifeq @ ( n1 @ SV147 @ SV147 @ SV381 ) @ true @ ( ifeq @ ( k1 @ SV381 ) @ true @ ( q2 @ SV147 @ SV147 @ SV147 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1243]) ).

thf(1479,plain,
    ! [SV382: $i,SV149: $i] :
      ( ( ! [SY1030: $i] :
            ( ( ifeq @ ( q2 @ SV149 @ SV382 @ SY1030 ) @ true @ ( ifeq @ ( p1 @ SY1030 @ SY1030 @ SV382 ) @ true @ ( ifeq @ ( n1 @ SV149 @ SY1030 @ SV382 ) @ true @ ( q2 @ SY1030 @ SV149 @ SY1030 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1480,plain,
    ! [SV383: $i,SV150: $i] :
      ( ( ( ifeq @ ( l2 @ SV150 @ SV383 ) @ true @ ( ifeq @ ( l0 @ c ) @ true @ ( ifeq @ ( k1 @ SV150 ) @ true @ ( q2 @ SV383 @ c @ SV150 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1246]) ).

thf(1481,plain,
    ! [SV384: $i,SV151: $i] :
      ( ( ( ifeq @ ( q1 @ SV151 @ c @ SV384 ) @ true @ ( q2 @ SV384 @ SV384 @ SV384 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1482,plain,
    ! [SV385: $i,SV152: $i] :
      ( ( ! [SY1031: $i] :
            ( ( ifeq @ ( q2 @ SV152 @ SV152 @ SV385 ) @ true @ ( ifeq @ ( n1 @ SV385 @ d @ SV152 ) @ true @ ( ifeq @ ( k1 @ SY1031 ) @ true @ ( q2 @ SY1031 @ SY1031 @ SY1031 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1483,plain,
    ! [SV386: $i,SV153: $i] :
      ( ( ( ifeq @ ( l1 @ SV153 @ SV386 ) @ true @ ( q2 @ SV386 @ SV386 @ SV153 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1484,plain,
    ! [SV387: $i,SV154: $i] :
      ( ( ! [SY1032: $i,SY1033: $i] :
            ( ( ifeq @ ( q2 @ SV154 @ SV154 @ SV154 ) @ true @ ( ifeq @ ( r1 @ SV154 ) @ true @ ( ifeq @ ( k0 @ SV154 ) @ true @ ( ifeq @ ( m0 @ SV387 @ SY1032 @ SY1033 ) @ true @ ( q2 @ SY1033 @ SV154 @ SY1033 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1250]) ).

thf(1485,plain,
    ! [SV388: $i,SV157: $i] :
      ( ( ! [SY1034: $i,SY1035: $i] :
            ( ( ifeq @ ( p2 @ SV157 @ SV388 @ SY1034 ) @ true @ ( ifeq @ ( s1 @ SV388 ) @ true @ ( ifeq @ ( n0 @ SY1035 @ SY1034 ) @ true @ ( k3 @ SY1035 @ SV388 @ SY1035 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1253]) ).

thf(1486,plain,
    ! [SV389: $i,SV158: $i] :
      ( ( ( ifeq @ ( s2 @ SV158 ) @ true @ ( ifeq @ ( q2 @ d @ SV158 @ d ) @ true @ ( ifeq @ ( s1 @ SV389 ) @ true @ ( k3 @ SV389 @ SV389 @ SV389 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1254]) ).

thf(1487,plain,
    ! [SV390: $i,SV159: $i] :
      ( ( ( ifeq @ ( k2 @ SV159 @ SV390 ) @ true @ ( k3 @ SV390 @ SV390 @ SV159 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1255]) ).

thf(1488,plain,
    ! [SV391: $i,SV160: $i] :
      ( ( ! [SY1036: $i] :
            ( ( ifeq @ ( p2 @ SV160 @ SV391 @ SV160 ) @ true @ ( ifeq @ ( m1 @ SY1036 @ SY1036 @ SV391 ) @ true @ ( k3 @ SY1036 @ SY1036 @ SY1036 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1489,plain,
    ! [SV392: $i,SV161: $i] :
      ( ( ( ifeq @ ( l2 @ SV161 @ b ) @ true @ ( ifeq @ ( k1 @ SV392 ) @ true @ ( k3 @ SV392 @ SV392 @ SV392 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1490,plain,
    ! [SV393: $i,SV162: $i] :
      ( ( ! [SY1037: $i] :
            ( ( ifeq @ ( k3 @ SV162 @ SV393 @ SV393 ) @ true @ ( ifeq @ ( p2 @ SV393 @ SY1037 @ e ) @ true @ ( ifeq @ ( s1 @ SV393 ) @ true @ ( k3 @ SV162 @ SV162 @ SV162 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1491,plain,
    ! [SV394: $i,SV163: $i] :
      ( ( ! [SY1038: $i,SY1039: $i] :
            ( ( ifeq @ ( m2 @ SV163 ) @ true @ ( ifeq @ ( m2 @ SV394 ) @ true @ ( ifeq @ ( p1 @ SY1038 @ SV394 @ SY1039 ) @ true @ ( k3 @ SY1039 @ SY1039 @ SY1038 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1492,plain,
    ! [SV395: $i,SV164: $i] :
      ( ( ! [SY1040: $i,SY1041: $i,SY1042: $i] :
            ( ( ifeq @ ( k3 @ SV164 @ SV395 @ SY1040 ) @ true @ ( ifeq @ ( k2 @ SY1041 @ SY1040 ) @ true @ ( ifeq @ ( q0 @ SY1042 @ SV164 ) @ true @ ( k3 @ SY1041 @ SY1041 @ SV164 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1493,plain,
    ! [SV396: $i,SV165: $i] :
      ( ( ( ifeq @ ( p2 @ SV165 @ SV396 @ SV396 ) @ true @ ( k3 @ SV396 @ SV396 @ SV396 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1494,plain,
    ! [SV397: $i,SV166: $i] :
      ( ( ( ifeq @ ( p2 @ SV166 @ SV397 @ SV397 ) @ true @ ( k3 @ SV397 @ SV166 @ SV397 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1495,plain,
    ! [SV398: $i,SV168: $i] :
      ( ( ! [SY1043: $i,SY1044: $i] :
            ( ( ifeq @ ( k3 @ SV168 @ SV398 @ SV168 ) @ true @ ( ifeq @ ( s2 @ SY1043 ) @ true @ ( ifeq @ ( m2 @ SY1044 ) @ true @ ( ifeq @ ( l1 @ SV168 @ SV398 ) @ true @ ( k3 @ SY1043 @ SY1043 @ SY1043 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1264]) ).

thf(1496,plain,
    ! [SV399: $i,SV172: $i] :
      ( ( ! [SY1045: $i] :
            ( ( ifeq @ ( p2 @ SV172 @ SV399 @ SV399 ) @ true @ ( ifeq @ ( r1 @ SY1045 ) @ true @ ( k3 @ SY1045 @ SY1045 @ SY1045 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1497,plain,
    ! [SV400: $i,SV173: $i] :
      ( ( ( ifeq @ ( p2 @ SV173 @ SV400 @ SV173 ) @ true @ ( ifeq @ ( r0 @ SV173 ) @ true @ ( l3 @ SV173 @ SV400 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1498,plain,
    ! [SV401: $i,SV174: $i] :
      ( ( ! [SY1046: $i] :
            ( ( ifeq @ ( p2 @ SV174 @ SV401 @ SY1046 ) @ true @ ( ifeq @ ( p1 @ SY1046 @ SY1046 @ SV174 ) @ true @ ( l3 @ SY1046 @ SY1046 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1270]) ).

thf(1499,plain,
    ! [SV402: $i,SV177: $i] :
      ( ( ! [SY1047: $i] :
            ( ( ifeq @ ( l3 @ SV177 @ SV177 ) @ true @ ( ifeq @ ( n2 @ SV402 ) @ true @ ( ifeq @ ( l1 @ SV177 @ SY1047 ) @ true @ ( l3 @ SY1047 @ SY1047 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1273]) ).

thf(1500,plain,
    ! [SV403: $i,SV178: $i] :
      ( ( ( ifeq @ ( s2 @ SV178 ) @ true @ ( ifeq @ ( l1 @ SV403 @ SV403 ) @ true @ ( l3 @ SV403 @ SV403 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1501,plain,
    ! [SV404: $i,SV179: $i] :
      ( ( ! [SY1048: $i] :
            ( ( ifeq @ ( k3 @ SV179 @ SV404 @ SV404 ) @ true @ ( ifeq @ ( l2 @ SY1048 @ SY1048 ) @ true @ ( l3 @ SV404 @ SV404 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1502,plain,
    ! [SV405: $i,SV180: $i] :
      ( ( ! [SY1049: $i,SY1050: $i] :
            ( ( ifeq @ ( s2 @ SV180 ) @ true @ ( ifeq @ ( l2 @ SV405 @ SY1049 ) @ true @ ( ifeq @ ( m0 @ SV180 @ SV180 @ SY1050 ) @ true @ ( ifeq @ ( m0 @ SY1049 @ SV405 @ SV405 ) @ true @ ( m3 @ SY1049 @ SY1050 @ SY1049 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1503,plain,
    ! [SV406: $i,SV181: $i] :
      ( ( ! [SY1051: $i] :
            ( ( ifeq @ ( m3 @ SV181 @ SV406 @ SV181 ) @ true @ ( ifeq @ ( l2 @ a @ a ) @ true @ ( ifeq @ ( k2 @ SY1051 @ SV406 ) @ true @ ( ifeq @ ( n0 @ SV406 @ a ) @ true @ ( m3 @ SV181 @ SV181 @ SV181 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1277]) ).

thf(1504,plain,
    ! [SV407: $i,SV182: $i] :
      ( ( ! [SY1052: $i,SY1053: $i] :
            ( ( ifeq @ ( s2 @ SV182 ) @ true @ ( ifeq @ ( r2 @ SV407 ) @ true @ ( ifeq @ ( q0 @ SY1052 @ SV182 ) @ true @ ( ifeq @ ( s0 @ SY1053 ) @ true @ ( m3 @ SV407 @ SV407 @ SV407 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1278]) ).

thf(1505,plain,
    ! [SV408: $i,SV183: $i] :
      ( ( ! [SY1054: $i] :
            ( ( ifeq @ ( m3 @ SV183 @ SV408 @ SV183 ) @ true @ ( ifeq @ ( n2 @ SV408 ) @ true @ ( ifeq @ ( m2 @ SY1054 ) @ true @ ( m3 @ SV408 @ SY1054 @ SY1054 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1506,plain,
    ! [SV409: $i,SV184: $i] :
      ( ( ( ifeq @ ( r2 @ SV184 ) @ true @ ( ifeq @ ( k2 @ c @ SV409 ) @ true @ ( m3 @ SV184 @ SV409 @ SV184 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1280]) ).

thf(1507,plain,
    ! [SV410: $i,SV186: $i] :
      ( ( ( ifeq @ ( n2 @ SV186 ) @ true @ ( ifeq @ ( m2 @ SV410 ) @ true @ ( m3 @ SV186 @ SV186 @ SV186 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1508,plain,
    ! [SV411: $i,SV188: $i] :
      ( ( ( ifeq @ ( k3 @ SV188 @ SV411 @ SV188 ) @ true @ ( ifeq @ ( r2 @ SV411 ) @ true @ ( m3 @ SV188 @ SV188 @ SV411 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1284]) ).

thf(1509,plain,
    ! [SV412: $i,SV192: $i] :
      ( ( ! [SY1055: $i] :
            ( ( ifeq @ ( p2 @ SV192 @ SV412 @ SY1055 ) @ true @ ( n3 @ SY1055 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1288]) ).

thf(1510,plain,
    ! [SV413: $i,SV193: $i] :
      ( ( ! [SY1056: $i,SY1057: $i] :
            ( ( ifeq @ ( q2 @ SV193 @ d @ SV413 ) @ true @ ( ifeq @ ( k2 @ SY1056 @ SY1057 ) @ true @ ( p3 @ SV413 @ SY1056 @ SY1057 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1289]) ).

thf(1511,plain,
    ! [SV414: $i,SV194: $i] :
      ( ( ! [SY1058: $i] :
            ( ( ifeq @ ( k3 @ SV194 @ SV414 @ SY1058 ) @ true @ ( ifeq @ ( r2 @ SV194 ) @ true @ ( p3 @ SY1058 @ SV194 @ SV414 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1290]) ).

thf(1512,plain,
    ! [SV415: $i,SV197: $i] :
      ( ( ! [SY1059: $i] :
            ( ( ifeq @ ( p3 @ SV197 @ SV197 @ SV415 ) @ true @ ( ifeq @ ( l3 @ SV415 @ SY1059 ) @ true @ ( ifeq @ ( l1 @ SV415 @ SV415 ) @ true @ ( p3 @ SY1059 @ SY1059 @ SY1059 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1293]) ).

thf(1513,plain,
    ! [SV416: $i,SV199: $i] :
      ( ( ! [SY1060: $i] :
            ( ( ifeq @ ( q2 @ SV199 @ SV416 @ SY1060 ) @ true @ ( ifeq @ ( n2 @ SY1060 ) @ true @ ( ifeq @ ( s1 @ SV199 ) @ true @ ( p3 @ SY1060 @ SY1060 @ SY1060 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1295]) ).

thf(1514,plain,
    ! [SV417: $i,SV200: $i] :
      ( ( ( ifeq @ ( n3 @ SV200 ) @ true @ ( ifeq @ ( p2 @ SV417 @ SV200 @ SV200 ) @ true @ ( p3 @ SV200 @ SV200 @ SV200 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1515,plain,
    ! [SV418: $i,SV202: $i] :
      ( ( ! [SY1061: $i] :
            ( ( ifeq @ ( q2 @ SV202 @ SV418 @ SY1061 ) @ true @ ( ifeq @ ( k1 @ SY1061 ) @ true @ ( p3 @ SY1061 @ SY1061 @ SY1061 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1516,plain,
    ! [SV419: $i,SV203: $i] :
      ( ( ! [SY1062: $i,SY1063: $i] :
            ( ( ifeq @ ( m3 @ SV203 @ SV419 @ SY1062 ) @ true @ ( ifeq @ ( p2 @ SY1063 @ SV203 @ SY1062 ) @ true @ ( p3 @ SY1063 @ SV203 @ SV203 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1299]) ).

thf(1517,plain,
    ! [SV420: $i,SV204: $i] :
      ( ( ! [SY1064: $i] :
            ( ( ifeq @ ( k2 @ SV204 @ SV204 ) @ true @ ( ifeq @ ( q0 @ SV420 @ SY1064 ) @ true @ ( p3 @ SY1064 @ SY1064 @ SY1064 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1300]) ).

thf(1518,plain,
    ! [SV421: $i,SV206: $i] :
      ( ( ! [SY1065: $i] :
            ( ( ifeq @ ( q2 @ SV206 @ SV421 @ SY1065 ) @ true @ ( ifeq @ ( n0 @ SV206 @ SV421 ) @ true @ ( q3 @ SV421 @ SY1065 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1302]) ).

thf(1519,plain,
    ! [SV422: $i,SV207: $i] :
      ( ( ( ifeq @ ( q3 @ SV207 @ SV422 ) @ true @ ( ifeq @ ( p2 @ SV207 @ SV422 @ SV422 ) @ true @ ( q3 @ SV422 @ SV422 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1303]) ).

thf(1520,plain,
    ! [SV423: $i,SV208: $i] :
      ( ( ! [SY1066: $i] :
            ( ( ifeq @ ( q3 @ SV208 @ SV423 ) @ true @ ( ifeq @ ( s2 @ SV423 ) @ true @ ( ifeq @ ( n1 @ SY1066 @ SV423 @ SV208 ) @ true @ ( q3 @ SV423 @ SV208 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1521,plain,
    ! [SV424: $i,SV209: $i] :
      ( ( ! [SY1067: $i] :
            ( ( ifeq @ ( r2 @ SV209 ) @ true @ ( ifeq @ ( l2 @ SV424 @ SV424 ) @ true @ ( ifeq @ ( s1 @ SY1067 ) @ true @ ( q3 @ SV209 @ SV209 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1305]) ).

thf(1522,plain,
    ! [SV425: $i,SV210: $i] :
      ( ( ( ifeq @ ( q3 @ SV210 @ SV425 ) @ true @ ( ifeq @ ( r2 @ d ) @ true @ ( ifeq @ ( m0 @ SV210 @ d @ SV210 ) @ true @ ( ifeq @ ( k1 @ SV425 ) @ true @ ( q3 @ SV425 @ SV425 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1523,plain,
    ! [SV426: $i,SV211: $i] :
      ( ( ( ifeq @ ( s2 @ SV211 ) @ true @ ( ifeq @ ( l2 @ c @ SV426 ) @ true @ ( r3 @ SV426 @ SV211 @ SV211 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1307]) ).

thf(1524,plain,
    ! [SV427: $i,SV212: $i] :
      ( ( ! [SY1068: $i] :
            ( ( ifeq @ ( r2 @ SV212 ) @ true @ ( ifeq @ ( n1 @ SV427 @ SV427 @ SV427 ) @ true @ ( ifeq @ ( l1 @ SY1068 @ SV427 ) @ true @ ( r3 @ SV212 @ SV212 @ SV212 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1525,plain,
    ! [SV428: $i,SV213: $i] :
      ( ( ! [SY1069: $i] :
            ( ( ifeq @ ( r3 @ SV213 @ SV428 @ SV213 ) @ true @ ( ifeq @ ( l2 @ SY1069 @ SV428 ) @ true @ ( ifeq @ ( p1 @ SV428 @ SY1069 @ SV213 ) @ true @ ( r3 @ SV213 @ SV213 @ SV213 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1526,plain,
    ! [SV429: $i,SV214: $i] :
      ( ( ( ifeq @ ( r3 @ SV214 @ SV214 @ SV429 ) @ true @ ( ifeq @ ( m0 @ d @ SV429 @ SV214 ) @ true @ ( r3 @ SV214 @ SV214 @ SV214 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1310]) ).

thf(1527,plain,
    ! [SV430: $i,SV216: $i] :
      ( ( ( ifeq @ ( l2 @ SV216 @ SV430 ) @ true @ ( r3 @ SV430 @ SV430 @ SV430 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1312]) ).

thf(1528,plain,
    ! [SV431: $i,SV218: $i] :
      ( ( ! [SY1070: $i] :
            ( ( ifeq @ ( p2 @ SV218 @ SV431 @ SY1070 ) @ true @ ( r3 @ SV218 @ SY1070 @ SV218 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1314]) ).

thf(1529,plain,
    ! [SV432: $i,SV219: $i] :
      ( ( ! [SY1071: $i,SY1072: $i] :
            ( ( ifeq @ ( r3 @ SV219 @ SV432 @ SV432 ) @ true @ ( ifeq @ ( m3 @ SY1071 @ b @ SY1072 ) @ true @ ( ifeq @ ( m2 @ SV219 ) @ true @ ( r3 @ SY1072 @ SY1072 @ SV219 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1315]) ).

thf(1530,plain,
    ! [SV433: $i,SV222: $i] :
      ( ( ! [SY1073: $i] :
            ( ( ifeq @ ( r3 @ SV222 @ SV222 @ SV222 ) @ true @ ( ifeq @ ( p3 @ SV222 @ SV433 @ SY1073 ) @ true @ ( r3 @ SV433 @ SV433 @ SV433 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1318]) ).

thf(1531,plain,
    ! [SV434: $i,SV223: $i] :
      ( ( ! [SY1074: $i] :
            ( ( ifeq @ ( r3 @ SV223 @ SV434 @ SV434 ) @ true @ ( ifeq @ ( r2 @ SV223 ) @ true @ ( ifeq @ ( k2 @ SY1074 @ SV223 ) @ true @ ( r3 @ SV434 @ SY1074 @ SV223 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1532,plain,
    ! [SV435: $i,SV224: $i] :
      ( ( ! [SY1075: $i,SY1076: $i] :
            ( ( ifeq @ ( s2 @ SV224 ) @ true @ ( ifeq @ ( q2 @ SV435 @ SV224 @ SV435 ) @ true @ ( ifeq @ ( m0 @ SV435 @ SY1075 @ SY1076 ) @ true @ ( s3 @ SV224 @ SY1076 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1320]) ).

thf(1533,plain,
    ! [SV436: $i,SV225: $i] :
      ( ( ( ifeq @ ( r3 @ SV225 @ e @ SV436 ) @ true @ ( ifeq @ ( q3 @ SV225 @ SV225 ) @ true @ ( ifeq @ ( q1 @ a @ a @ SV436 ) @ true @ ( k4 @ e ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1534,plain,
    ! [SV437: $i,SV226: $i] :
      ( ( ! [SY1077: $i] :
            ( ( ifeq @ ( p3 @ SV226 @ SV437 @ SY1077 ) @ true @ ( l4 @ SY1077 ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1535,plain,
    ! [SV438: $i,SV227: $i] :
      ( ( ( ifeq @ ( l4 @ SV227 ) @ true @ ( ifeq @ ( m0 @ SV227 @ SV438 @ SV438 ) @ true @ ( l4 @ SV438 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1536,plain,
    ! [SV439: $i,SV228: $i] :
      ( ( ! [SY1078: $i] :
            ( ( ifeq @ ( s3 @ a @ SV228 ) @ true @ ( ifeq @ ( l2 @ SV439 @ SY1078 ) @ true @ ( m4 @ SV228 @ SY1078 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1324]) ).

thf(1537,plain,
    ! [SV440: $i,SV229: $i] :
      ( ( ( ifeq @ ( n4 @ SV229 @ SV229 ) @ true @ ( ifeq @ ( p3 @ SV229 @ SV440 @ SV440 ) @ true @ ( n4 @ SV229 @ SV440 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1538,plain,
    ! [SV441: $i,SV230: $i] :
      ( ( ( ifeq @ ( k4 @ SV230 ) @ true @ ( ifeq @ ( m3 @ SV441 @ SV441 @ SV441 ) @ true @ ( n4 @ SV441 @ SV441 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1539,plain,
    ! [SV442: $i,SV231: $i] :
      ( ( ( ifeq @ ( r3 @ SV231 @ SV442 @ SV231 ) @ true @ ( ifeq @ ( r0 @ SV442 ) @ true @ ( p4 @ SV442 @ SV442 @ SV231 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1327]) ).

thf(1540,plain,
    ! [SV443: $i,SV232: $i] :
      ( ( ! [SY1079: $i] :
            ( ( ifeq @ ( q3 @ SV232 @ SV443 ) @ true @ ( ifeq @ ( n3 @ SY1079 ) @ true @ ( p4 @ SY1079 @ SY1079 @ SY1079 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1541,plain,
    ! [SV444: $i,SV233: $i] :
      ( ( ( ifeq @ ( k3 @ SV233 @ SV233 @ SV444 ) @ true @ ( p4 @ SV233 @ SV444 @ SV233 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1542,plain,
    ! [SV445: $i,SV234: $i] :
      ( ( ! [SY1080: $i,SY1081: $i] :
            ( ( ifeq @ ( p4 @ SV234 @ SV234 @ SV445 ) @ true @ ( ifeq @ ( r3 @ SY1080 @ SY1080 @ SY1081 ) @ true @ ( p4 @ SY1081 @ SY1080 @ SY1080 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1330]) ).

thf(1543,plain,
    ! [SV446: $i,SV235: $i] :
      ( ( ! [SY1082: $i,SY1083: $i] :
            ( ( ifeq @ ( p4 @ SV235 @ SV446 @ SV235 ) @ true @ ( ifeq @ ( l4 @ SY1082 ) @ true @ ( ifeq @ ( n0 @ SY1082 @ SY1083 ) @ true @ ( p4 @ SY1082 @ SY1082 @ SY1082 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1331]) ).

thf(1544,plain,
    ! [SV447: $i,SV236: $i] :
      ( ( ! [SY1084: $i] :
            ( ( ifeq @ ( p4 @ SV236 @ SV447 @ SV236 ) @ true @ ( ifeq @ ( m3 @ SY1084 @ SV447 @ SV236 ) @ true @ ( p4 @ SV236 @ SV236 @ SV236 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1332]) ).

thf(1545,plain,
    ! [SV448: $i,SV237: $i] :
      ( ( ( ifeq @ ( p3 @ SV237 @ SV237 @ SV448 ) @ true @ ( p4 @ SV448 @ SV448 @ SV448 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1546,plain,
    ! [SV449: $i,SV238: $i] :
      ( ( ! [SY1085: $i] :
            ( ( ifeq @ ( n4 @ SV238 @ SV449 ) @ true @ ( ifeq @ ( k3 @ SY1085 @ SV449 @ SV449 ) @ true @ ( ifeq @ ( p1 @ SV449 @ SY1085 @ SV238 ) @ true @ ( p4 @ SV238 @ SV238 @ SV238 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1547,plain,
    ! [SV450: $i,SV239: $i] :
      ( ( ! [SY1086: $i] :
            ( ( ifeq @ ( n4 @ SV239 @ SV450 ) @ true @ ( ifeq @ ( q3 @ SY1086 @ SV239 ) @ true @ ( ifeq @ ( l3 @ SY1086 @ SY1086 ) @ true @ ( p4 @ SV450 @ SV450 @ SV450 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1548,plain,
    ! [SV451: $i,SV241: $i] :
      ( ( ! [SY1087: $i,SY1088: $i,SY1089: $i] :
            ( ( ifeq @ ( m3 @ SV241 @ SV451 @ SV241 ) @ true @ ( ifeq @ ( k3 @ SY1087 @ SY1087 @ SY1088 ) @ true @ ( ifeq @ ( q2 @ SV241 @ SY1089 @ SY1088 ) @ true @ ( q4 @ SY1088 @ SY1089 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1337]) ).

thf(1549,plain,
    ! [SV452: $i,SV242: $i] :
      ( ( ! [SY1090: $i] :
            ( ( ifeq @ ( q4 @ SV242 @ SV452 ) @ true @ ( ifeq @ ( l4 @ SV242 ) @ true @ ( ifeq @ ( r1 @ SY1090 ) @ true @ ( q4 @ SY1090 @ SY1090 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1550,plain,
    ! [SV453: $i,SV243: $i] :
      ( ( ! [SY1091: $i,SY1092: $i] :
            ( ( ifeq @ ( q3 @ SV243 @ SV453 ) @ true @ ( ifeq @ ( n3 @ SY1091 ) @ true @ ( ifeq @ ( p0 @ SY1092 @ SY1091 ) @ true @ ( r4 @ SY1091 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1339]) ).

thf(1551,plain,
    ! [SV454: $i,SV244: $i] :
      ( ( ! [SY1093: $i,SY1094: $i] :
            ( ( ifeq @ ( p3 @ SV244 @ SV454 @ SY1093 ) @ true @ ( ifeq @ ( l1 @ SY1094 @ SV454 ) @ true @ ( s4 @ SY1094 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1340]) ).

thf(1552,plain,
    ! [SV455: $i,SV245: $i] :
      ( ( ! [SY1095: $i] :
            ( ( ifeq @ ( s4 @ SV245 ) @ true @ ( ifeq @ ( r3 @ SV455 @ SY1095 @ SY1095 ) @ true @ ( k5 @ SY1095 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1341]) ).

thf(1553,plain,
    ! [SV456: $i,SV246: $i] :
      ( ( ( ifeq @ ( q4 @ SV246 @ SV246 ) @ true @ ( ifeq @ ( k1 @ SV456 ) @ true @ ( l5 @ SV456 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1554,plain,
    ! [SV457: $i,SV247: $i] :
      ( ( ! [SY1096: $i] :
            ( ( ifeq @ ( p4 @ SV247 @ SV457 @ SY1096 ) @ true @ ( ifeq @ ( r0 @ SV247 ) @ true @ ( m5 @ SV247 @ SY1096 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1555,plain,
    ! [SV458: $i,SV250: $i] :
      ( ( ( ifeq @ ( s4 @ SV250 ) @ true @ ( ifeq @ ( r0 @ SV458 ) @ true @ ( m5 @ SV458 @ SV458 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1346]) ).

thf(1556,plain,
    ! [SV459: $i,SV251: $i] :
      ( ( ! [SY1097: $i,SY1098: $i,SY1099: $i] :
            ( ( ifeq @ ( n5 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( q4 @ SY1097 @ SY1098 ) @ true @ ( ifeq @ ( p4 @ SV251 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( n4 @ SY1099 @ SY1098 ) @ true @ ( n5 @ SY1099 @ SV459 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1347]) ).

thf(1557,plain,
    ! [SV460: $i,SV252: $i] :
      ( ( ( ifeq @ ( n5 @ SV252 @ SV460 ) @ true @ ( ifeq @ ( m0 @ SV252 @ SV460 @ SV252 ) @ true @ ( n5 @ SV460 @ SV460 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1348]) ).

thf(1558,plain,
    ! [SV461: $i,SV253: $i] :
      ( ( ( ifeq @ ( n4 @ SV253 @ SV461 ) @ true @ ( n5 @ SV461 @ SV461 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1349]) ).

thf(1559,plain,
    ! [SV462: $i,SV254: $i] :
      ( ( ! [SY1100: $i] :
            ( ( ifeq @ ( k5 @ d ) @ true @ ( ifeq @ ( m4 @ SV254 @ SV254 ) @ true @ ( ifeq @ ( p0 @ SV462 @ SY1100 ) @ true @ ( n5 @ SV462 @ SV462 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1560,plain,
    ! [SV463: $i,SV255: $i] :
      ( ( ( ifeq @ ( q4 @ SV255 @ SV463 ) @ true @ ( n5 @ SV463 @ SV463 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1561,plain,
    ! [SV464: $i,SV258: $i] :
      ( ( ! [SY1101: $i] :
            ( ( ifeq @ ( p4 @ b @ b @ SV258 ) @ true @ ( ifeq @ ( p4 @ SV464 @ SY1101 @ SY1101 ) @ true @ ( ifeq @ ( s1 @ SY1101 ) @ true @ ( n5 @ SY1101 @ SY1101 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1562,plain,
    ! [SV465: $i,SV260: $i] :
      ( ( ( ifeq @ ( s4 @ SV260 ) @ true @ ( ifeq @ ( l2 @ SV465 @ SV465 ) @ true @ ( p5 @ SV465 @ SV465 @ SV260 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1356]) ).

thf(1563,plain,
    ! [SV466: $i,SV261: $i] :
      ( ( ! [SY1102: $i] :
            ( ( ifeq @ ( p5 @ SV261 @ SV466 @ SV261 ) @ true @ ( ifeq @ ( m4 @ SV466 @ SY1102 ) @ true @ ( ifeq @ ( l2 @ SV261 @ SV466 ) @ true @ ( p5 @ SV261 @ SY1102 @ SY1102 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1564,plain,
    ! [SV467: $i,SV262: $i] :
      ( ( ! [SY1103: $i] :
            ( ( ifeq @ ( q4 @ SV262 @ SV467 ) @ true @ ( ifeq @ ( s1 @ SY1103 ) @ true @ ( p5 @ SY1103 @ SV262 @ SY1103 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1358]) ).

thf(1565,plain,
    ! [SV468: $i,SV263: $i] :
      ( ( ( ifeq @ ( k5 @ b ) @ true @ ( ifeq @ ( p4 @ SV263 @ SV263 @ SV468 ) @ true @ ( p5 @ b @ b @ b ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1359]) ).

thf(1566,plain,
    ! [SV469: $i,SV264: $i] :
      ( ( ( ifeq @ ( s4 @ SV264 ) @ true @ ( ifeq @ ( m2 @ SV469 ) @ true @ ( q5 @ SV264 @ SV469 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1360]) ).

thf(1567,plain,
    ! [SV470: $i,SV268: $i] :
      ( ( ( ifeq @ ( s4 @ SV268 ) @ true @ ( ifeq @ ( n3 @ SV470 ) @ true @ ( ifeq @ ( k0 @ b ) @ true @ ( r5 @ SV268 @ SV470 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1364]) ).

thf(1568,plain,
    ! [SV471: $i,SV270: $i] :
      ( ( ( ifeq @ ( r4 @ SV270 ) @ true @ ( ifeq @ ( l4 @ SV471 ) @ true @ ( s5 @ SV471 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1569,plain,
    ! [SV472: $i,SV271: $i] :
      ( ( ! [SY1104: $i] :
            ( ( ifeq @ ( s5 @ SV271 ) @ true @ ( ifeq @ ( l5 @ SV271 ) @ true @ ( ifeq @ ( k4 @ SV472 ) @ true @ ( ifeq @ ( s3 @ SV472 @ SY1104 ) @ true @ ( s5 @ SV472 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1570,plain,
    ! [SV473: $i,SV272: $i,SV1: $i] :
      ( ( ( ifeq @ SV1 @ SV1 @ SV272 @ SV473 )
        = SV272 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1571,plain,
    ! [SV474: $i,SV276: $i,SV8: $i] :
      ( ( ! [SY1105: $i] :
            ( ( ifeq @ ( p0 @ SV8 @ SV276 ) @ true @ ( ifeq @ ( r0 @ SV474 ) @ true @ ( ifeq @ ( m0 @ SY1105 @ SV276 @ SV8 ) @ true @ ( l1 @ SV276 @ SY1105 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1373]) ).

thf(1572,plain,
    ! [SV475: $i,SV280: $i,SV12: $i] :
      ( ( ( ifeq @ ( p0 @ SV12 @ SV280 ) @ true @ ( ifeq @ ( r0 @ SV475 ) @ true @ ( m1 @ SV475 @ SV280 @ SV475 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1377]) ).

thf(1573,plain,
    ! [SV476: $i,SV281: $i,SV13: $i] :
      ( ( ( ifeq @ ( r0 @ SV13 ) @ true @ ( ifeq @ ( q0 @ SV281 @ SV476 ) @ true @ ( ifeq @ ( s0 @ SV13 ) @ true @ ( m1 @ SV476 @ SV476 @ SV476 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1378]) ).

thf(1574,plain,
    ! [SV477: $i,SV285: $i,SV17: $i] :
      ( ( ( ifeq @ ( m0 @ SV17 @ SV285 @ SV477 ) @ true @ ( m1 @ SV477 @ SV477 @ SV477 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1575,plain,
    ! [SV478: $i,SV286: $i,SV18: $i] :
      ( ( ( ifeq @ ( l0 @ SV18 ) @ true @ ( ifeq @ ( m0 @ SV286 @ SV286 @ SV478 ) @ true @ ( m1 @ SV478 @ SV286 @ SV286 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1576,plain,
    ! [SV479: $i,SV287: $i,SV19: $i] :
      ( ( ! [SY1106: $i] :
            ( ( ifeq @ ( m1 @ SV19 @ SV287 @ SV479 ) @ true @ ( ifeq @ ( m1 @ SV19 @ SV479 @ SY1106 ) @ true @ ( m1 @ SY1106 @ SV479 @ SV479 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1577,plain,
    ! [SV480: $i,SV289: $i,SV21: $i] :
      ( ( ( ifeq @ ( q0 @ SV21 @ SV289 ) @ true @ ( ifeq @ ( q0 @ SV21 @ SV480 ) @ true @ ( m1 @ SV480 @ SV480 @ SV480 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1578,plain,
    ! [SV481: $i,SV292: $i,SV24: $i] :
      ( ( ( ifeq @ ( m1 @ SV24 @ c @ SV24 ) @ true @ ( ifeq @ ( m0 @ a @ SV292 @ a ) @ true @ ( ifeq @ ( q0 @ SV481 @ SV24 ) @ true @ ( m1 @ SV481 @ a @ SV24 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1579,plain,
    ! [SV482: $i,SV293: $i,SV25: $i] :
      ( ( ( ifeq @ ( m0 @ SV25 @ SV293 @ SV482 ) @ true @ ( m1 @ SV482 @ SV482 @ SV482 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1390]) ).

thf(1580,plain,
    ! [SV483: $i,SV296: $i,SV31: $i] :
      ( ( ( ifeq @ ( m1 @ SV31 @ SV296 @ SV483 ) @ true @ ( ifeq @ ( q0 @ SV296 @ SV296 ) @ true @ ( m1 @ SV483 @ SV483 @ SV483 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1581,plain,
    ! [SV484: $i,SV300: $i,SV35: $i] :
      ( ( ( ifeq @ ( l0 @ SV35 ) @ true @ ( ifeq @ ( p0 @ SV300 @ SV484 ) @ true @ ( ifeq @ ( r0 @ SV484 ) @ true @ ( n1 @ SV484 @ SV35 @ SV484 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1397]) ).

thf(1582,plain,
    ! [SV485: $i,SV303: $i,SV40: $i] :
      ( ( ! [SY1107: $i] :
            ( ( ifeq @ ( k0 @ SV40 ) @ true @ ( ifeq @ ( m0 @ SV303 @ SV485 @ SV303 ) @ true @ ( ifeq @ ( q0 @ SY1107 @ SV485 ) @ true @ ( n1 @ SV40 @ SV40 @ SV40 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1400]) ).

thf(1583,plain,
    ! [SV486: $i,SV304: $i,SV42: $i] :
      ( ( ( ifeq @ ( p0 @ SV42 @ SV304 ) @ true @ ( ifeq @ ( p0 @ SV486 @ SV486 ) @ true @ ( n1 @ SV486 @ SV42 @ SV486 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1584,plain,
    ! [SV487: $i,SV305: $i,SV43: $i] :
      ( ( ( ifeq @ ( m1 @ SV43 @ SV305 @ SV487 ) @ true @ ( ifeq @ ( k0 @ SV43 ) @ true @ ( n1 @ SV487 @ SV487 @ SV487 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1585,plain,
    ! [SV488: $i,SV309: $i,SV47: $i] :
      ( ( ( ifeq @ ( p0 @ SV47 @ SV309 ) @ true @ ( ifeq @ ( m0 @ SV309 @ SV309 @ SV309 ) @ true @ ( ifeq @ ( s0 @ SV488 ) @ true @ ( ifeq @ ( k1 @ SV488 ) @ true @ ( n1 @ SV488 @ SV488 @ SV488 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1406]) ).

thf(1586,plain,
    ! [SV489: $i,SV310: $i,SV49: $i] :
      ( ( ( ifeq @ ( n1 @ SV49 @ SV310 @ SV49 ) @ true @ ( ifeq @ ( l0 @ SV489 ) @ true @ ( ifeq @ ( l1 @ SV489 @ SV49 ) @ true @ ( n1 @ SV49 @ SV310 @ SV310 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1407]) ).

thf(1587,plain,
    ! [SV490: $i,SV312: $i,SV52: $i] :
      ( ( ! [SY1108: $i] :
            ( ( ifeq @ ( m0 @ SV52 @ SV312 @ SV312 ) @ true @ ( ifeq @ ( m0 @ SV490 @ SV52 @ SY1108 ) @ true @ ( n1 @ SY1108 @ SY1108 @ SV490 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1409]) ).

thf(1588,plain,
    ! [SV491: $i,SV313: $i,SV54: $i] :
      ( ( ( ifeq @ ( n1 @ SV54 @ SV313 @ SV54 ) @ true @ ( ifeq @ ( m0 @ SV54 @ SV54 @ SV491 ) @ true @ ( n1 @ SV313 @ SV313 @ SV313 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1410]) ).

thf(1589,plain,
    ! [SV492: $i,SV315: $i,SV56: $i] :
      ( ( ( ifeq @ ( l0 @ SV56 ) @ true @ ( ifeq @ ( m0 @ SV315 @ SV492 @ b ) @ true @ ( p1 @ SV56 @ SV56 @ SV56 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1412]) ).

thf(1590,plain,
    ! [SV493: $i,SV320: $i,SV62: $i] :
      ( ( ! [SY1109: $i] :
            ( ( ifeq @ ( p1 @ SV62 @ SV320 @ SV493 ) @ true @ ( ifeq @ ( l0 @ SY1109 ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ SV493 @ SV62 @ SV493 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1591,plain,
    ! [SV494: $i,SV324: $i,SV67: $i] :
      ( ( ! [SY1110: $i] :
            ( ( ifeq @ ( n1 @ SV67 @ SV324 @ SV494 ) @ true @ ( ifeq @ ( l0 @ SY1110 ) @ true @ ( ifeq @ ( n0 @ SV67 @ SV67 ) @ true @ ( p1 @ SV494 @ SV494 @ SV494 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1421]) ).

thf(1592,plain,
    ! [SV495: $i,SV325: $i,SV68: $i] :
      ( ( ! [SY1111: $i,SY1112: $i] :
            ( ( ifeq @ ( m1 @ SV68 @ SV325 @ SV495 ) @ true @ ( ifeq @ ( l0 @ SY1111 ) @ true @ ( ifeq @ ( q0 @ SV325 @ SY1112 ) @ true @ ( p1 @ SV495 @ SV495 @ SV495 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1593,plain,
    ! [SV496: $i,SV326: $i,SV69: $i] :
      ( ( ! [SY1113: $i] :
            ( ( ifeq @ ( p1 @ SV69 @ SV326 @ SV496 ) @ true @ ( ifeq @ ( m0 @ SV69 @ SV326 @ SV496 ) @ true @ ( p1 @ SV326 @ SY1113 @ SV69 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1594,plain,
    ! [SV497: $i,SV330: $i,SV73: $i] :
      ( ( ( ifeq @ ( l0 @ SV73 ) @ true @ ( ifeq @ ( m0 @ SV330 @ SV497 @ SV73 ) @ true @ ( p1 @ SV73 @ SV73 @ SV73 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1427]) ).

thf(1595,plain,
    ! [SV498: $i,SV331: $i,SV75: $i] :
      ( ( ! [SY1114: $i,SY1115: $i] :
            ( ( ifeq @ ( n1 @ SV75 @ SV331 @ SV498 ) @ true @ ( ifeq @ ( q0 @ SV75 @ SY1114 ) @ true @ ( ifeq @ ( k1 @ SY1115 ) @ true @ ( p1 @ SV331 @ SV331 @ SV331 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1596,plain,
    ! [SV499: $i,SV332: $i,SV76: $i] :
      ( ( ! [SY1116: $i] :
            ( ( ifeq @ ( p0 @ SV76 @ SV332 ) @ true @ ( ifeq @ ( n0 @ SV499 @ SY1116 ) @ true @ ( q1 @ SV332 @ SY1116 @ SV332 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1429]) ).

thf(1597,plain,
    ! [SV500: $i,SV335: $i,SV79: $i] :
      ( ( ! [SY1117: $i] :
            ( ( ifeq @ ( q1 @ SV79 @ SV335 @ SV500 ) @ true @ ( ifeq @ ( n1 @ SV335 @ SV500 @ SV500 ) @ true @ ( ifeq @ ( m1 @ SY1117 @ SV500 @ SV335 ) @ true @ ( ifeq @ ( p0 @ SV335 @ SV79 ) @ true @ ( q1 @ SY1117 @ SY1117 @ SY1117 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1598,plain,
    ! [SV501: $i,SV336: $i,SV81: $i] :
      ( ( ( ifeq @ ( m0 @ SV81 @ SV81 @ SV336 ) @ true @ ( ifeq @ ( s0 @ SV501 ) @ true @ ( q1 @ SV501 @ SV501 @ SV501 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1433]) ).

thf(1599,plain,
    ! [SV502: $i,SV337: $i,SV82: $i] :
      ( ( ( ifeq @ ( q1 @ SV82 @ SV82 @ SV337 ) @ true @ ( ifeq @ ( k0 @ SV337 ) @ true @ ( ifeq @ ( l0 @ SV502 ) @ true @ ( q1 @ SV502 @ SV82 @ SV82 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1600,plain,
    ! [SV503: $i,SV340: $i,SV87: $i] :
      ( ( ! [SY1118: $i] :
            ( ( ifeq @ ( l0 @ SV87 ) @ true @ ( ifeq @ ( p0 @ SV340 @ SV87 ) @ true @ ( ifeq @ ( r0 @ SV503 ) @ true @ ( ifeq @ ( q0 @ SY1118 @ SY1118 ) @ true @ ( q1 @ SV87 @ SY1118 @ SV87 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1437]) ).

thf(1601,plain,
    ! [SV504: $i,SV342: $i,SV91: $i] :
      ( ( ( ifeq @ ( p1 @ SV91 @ b @ b ) @ true @ ( ifeq @ ( p0 @ SV342 @ SV504 ) @ true @ ( ifeq @ ( q0 @ b @ b ) @ true @ ( q1 @ SV91 @ SV91 @ SV91 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1439]) ).

thf(1602,plain,
    ! [SV505: $i,SV343: $i,SV92: $i] :
      ( ( ( ifeq @ ( p0 @ SV92 @ SV92 ) @ true @ ( ifeq @ ( q0 @ SV343 @ SV505 ) @ true @ ( ifeq @ ( k1 @ SV505 ) @ true @ ( q1 @ SV505 @ SV505 @ SV343 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1603,plain,
    ! [SV506: $i,SV344: $i,SV93: $i] :
      ( ( ( ifeq @ ( m0 @ SV93 @ SV344 @ SV506 ) @ true @ ( q1 @ SV506 @ SV506 @ SV506 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1441]) ).

thf(1604,plain,
    ! [SV507: $i,SV345: $i,SV95: $i] :
      ( ( ( ifeq @ ( m1 @ SV95 @ SV345 @ SV345 ) @ true @ ( ifeq @ ( r0 @ SV507 ) @ true @ ( q1 @ SV95 @ SV95 @ SV345 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1442]) ).

thf(1605,plain,
    ! [SV508: $i,SV348: $i,SV100: $i] :
      ( ( ( ifeq @ ( m0 @ SV100 @ SV348 @ SV508 ) @ true @ ( q1 @ SV508 @ SV508 @ SV508 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1445]) ).

thf(1606,plain,
    ! [SV509: $i,SV351: $i,SV105: $i] :
      ( ( ( ifeq @ ( s1 @ SV105 ) @ true @ ( ifeq @ ( q0 @ SV351 @ SV509 ) @ true @ ( s1 @ SV351 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1448]) ).

thf(1607,plain,
    ! [SV510: $i,SV352: $i,SV106: $i] :
      ( ( ! [SY1119: $i] :
            ( ( ifeq @ ( k2 @ SV106 @ SV352 ) @ true @ ( ifeq @ ( m1 @ SV510 @ SV352 @ SY1119 ) @ true @ ( ifeq @ ( k1 @ SV106 ) @ true @ ( k2 @ SY1119 @ SV352 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1449]) ).

thf(1608,plain,
    ! [SV511: $i,SV355: $i,SV110: $i] :
      ( ( ! [SY1120: $i] :
            ( ( ifeq @ ( s1 @ SV110 ) @ true @ ( ifeq @ ( p0 @ SV355 @ SV355 ) @ true @ ( ifeq @ ( m0 @ SV511 @ SV110 @ SY1120 ) @ true @ ( l2 @ SY1120 @ SY1120 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1452]) ).

thf(1609,plain,
    ! [SV512: $i,SV356: $i,SV111: $i] :
      ( ( ( ifeq @ ( m1 @ SV111 @ SV356 @ SV356 ) @ true @ ( ifeq @ ( p0 @ SV356 @ SV512 ) @ true @ ( ifeq @ ( m0 @ SV356 @ SV512 @ SV111 ) @ true @ ( l2 @ SV512 @ SV512 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1453]) ).

thf(1610,plain,
    ! [SV513: $i,SV357: $i,SV112: $i] :
      ( ( ( ifeq @ ( s0 @ SV112 ) @ true @ ( ifeq @ ( l1 @ SV357 @ SV513 ) @ true @ ( m2 @ SV112 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1454]) ).

thf(1611,plain,
    ! [SV514: $i,SV358: $i,SV113: $i] :
      ( ( ( ifeq @ ( p1 @ SV113 @ SV358 @ SV514 ) @ true @ ( n2 @ SV514 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1455]) ).

thf(1612,plain,
    ! [SV515: $i,SV362: $i,SV119: $i] :
      ( ( ! [SY1121: $i] :
            ( ( ifeq @ ( p2 @ SV119 @ SV362 @ SV119 ) @ true @ ( ifeq @ ( p1 @ SV119 @ SV515 @ SY1121 ) @ true @ ( ifeq @ ( l1 @ SV515 @ SY1121 ) @ true @ ( p2 @ SV119 @ SV362 @ SV362 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1459]) ).

thf(1613,plain,
    ! [SV516: $i,SV363: $i,SV120: $i] :
      ( ( ( ifeq @ ( p2 @ SV120 @ SV363 @ SV120 ) @ true @ ( ifeq @ ( m1 @ SV120 @ SV516 @ SV363 ) @ true @ ( p2 @ SV363 @ SV363 @ SV363 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1460]) ).

thf(1614,plain,
    ! [SV517: $i,SV366: $i,SV123: $i] :
      ( ( ( ifeq @ ( p2 @ SV123 @ SV366 @ SV123 ) @ true @ ( ifeq @ ( n1 @ SV517 @ SV366 @ SV517 ) @ true @ ( ifeq @ ( p0 @ SV123 @ SV366 ) @ true @ ( p2 @ SV123 @ SV366 @ SV366 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1463]) ).

thf(1615,plain,
    ! [SV518: $i,SV367: $i,SV126: $i] :
      ( ( ( ifeq @ ( p2 @ e @ SV126 @ SV367 ) @ true @ ( ifeq @ ( k1 @ SV518 ) @ true @ ( p2 @ SV126 @ SV367 @ SV367 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1464]) ).

thf(1616,plain,
    ! [SV519: $i,SV369: $i,SV129: $i] :
      ( ( ( ifeq @ ( p2 @ SV129 @ SV369 @ SV129 ) @ true @ ( ifeq @ ( s1 @ c ) @ true @ ( ifeq @ ( q1 @ c @ SV129 @ SV369 ) @ true @ ( ifeq @ ( s0 @ e ) @ true @ ( p2 @ SV129 @ SV129 @ SV519 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1466]) ).

thf(1617,plain,
    ! [SV520: $i,SV370: $i,SV131: $i] :
      ( ( ( ifeq @ ( p2 @ a @ SV131 @ SV370 ) @ true @ ( ifeq @ ( m1 @ a @ a @ SV520 ) @ true @ ( p2 @ SV370 @ SV370 @ SV370 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1467]) ).

thf(1618,plain,
    ! [SV521: $i,SV372: $i,SV134: $i] :
      ( ( ( ifeq @ ( p2 @ SV134 @ SV372 @ SV521 ) @ true @ ( ifeq @ ( r1 @ SV372 ) @ true @ ( ifeq @ ( p0 @ SV521 @ SV521 ) @ true @ ( p2 @ SV521 @ SV521 @ SV521 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1469]) ).

thf(1619,plain,
    ! [SV522: $i,SV373: $i,SV135: $i] :
      ( ( ( ifeq @ ( p2 @ SV135 @ SV135 @ SV373 ) @ true @ ( ifeq @ ( q1 @ SV135 @ SV373 @ SV135 ) @ true @ ( p2 @ SV522 @ SV522 @ SV522 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1470]) ).

thf(1620,plain,
    ! [SV523: $i,SV374: $i,SV138: $i] :
      ( ( ( ifeq @ ( q1 @ SV138 @ SV138 @ SV138 ) @ true @ ( ifeq @ ( p1 @ SV374 @ SV523 @ SV374 ) @ true @ ( p2 @ SV374 @ SV374 @ SV374 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1471]) ).

thf(1621,plain,
    ! [SV524: $i,SV380: $i,SV146: $i] :
      ( ( ( ifeq @ ( n1 @ SV146 @ SV380 @ SV524 ) @ true @ ( ifeq @ ( q0 @ SV146 @ SV380 ) @ true @ ( q2 @ SV380 @ SV380 @ SV380 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1477]) ).

thf(1622,plain,
    ! [SV525: $i,SV382: $i,SV149: $i] :
      ( ( ( ifeq @ ( q2 @ SV149 @ SV382 @ SV525 ) @ true @ ( ifeq @ ( p1 @ SV525 @ SV525 @ SV382 ) @ true @ ( ifeq @ ( n1 @ SV149 @ SV525 @ SV382 ) @ true @ ( q2 @ SV525 @ SV149 @ SV525 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1479]) ).

thf(1623,plain,
    ! [SV526: $i,SV385: $i,SV152: $i] :
      ( ( ( ifeq @ ( q2 @ SV152 @ SV152 @ SV385 ) @ true @ ( ifeq @ ( n1 @ SV385 @ d @ SV152 ) @ true @ ( ifeq @ ( k1 @ SV526 ) @ true @ ( q2 @ SV526 @ SV526 @ SV526 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1482]) ).

thf(1624,plain,
    ! [SV527: $i,SV387: $i,SV154: $i] :
      ( ( ! [SY1122: $i] :
            ( ( ifeq @ ( q2 @ SV154 @ SV154 @ SV154 ) @ true @ ( ifeq @ ( r1 @ SV154 ) @ true @ ( ifeq @ ( k0 @ SV154 ) @ true @ ( ifeq @ ( m0 @ SV387 @ SV527 @ SY1122 ) @ true @ ( q2 @ SY1122 @ SV154 @ SY1122 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1484]) ).

thf(1625,plain,
    ! [SV528: $i,SV388: $i,SV157: $i] :
      ( ( ! [SY1123: $i] :
            ( ( ifeq @ ( p2 @ SV157 @ SV388 @ SV528 ) @ true @ ( ifeq @ ( s1 @ SV388 ) @ true @ ( ifeq @ ( n0 @ SY1123 @ SV528 ) @ true @ ( k3 @ SY1123 @ SV388 @ SY1123 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1626,plain,
    ! [SV529: $i,SV391: $i,SV160: $i] :
      ( ( ( ifeq @ ( p2 @ SV160 @ SV391 @ SV160 ) @ true @ ( ifeq @ ( m1 @ SV529 @ SV529 @ SV391 ) @ true @ ( k3 @ SV529 @ SV529 @ SV529 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1488]) ).

thf(1627,plain,
    ! [SV530: $i,SV393: $i,SV162: $i] :
      ( ( ( ifeq @ ( k3 @ SV162 @ SV393 @ SV393 ) @ true @ ( ifeq @ ( p2 @ SV393 @ SV530 @ e ) @ true @ ( ifeq @ ( s1 @ SV393 ) @ true @ ( k3 @ SV162 @ SV162 @ SV162 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1490]) ).

thf(1628,plain,
    ! [SV531: $i,SV394: $i,SV163: $i] :
      ( ( ! [SY1124: $i] :
            ( ( ifeq @ ( m2 @ SV163 ) @ true @ ( ifeq @ ( m2 @ SV394 ) @ true @ ( ifeq @ ( p1 @ SV531 @ SV394 @ SY1124 ) @ true @ ( k3 @ SY1124 @ SY1124 @ SV531 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1629,plain,
    ! [SV532: $i,SV395: $i,SV164: $i] :
      ( ( ! [SY1125: $i,SY1126: $i] :
            ( ( ifeq @ ( k3 @ SV164 @ SV395 @ SV532 ) @ true @ ( ifeq @ ( k2 @ SY1125 @ SV532 ) @ true @ ( ifeq @ ( q0 @ SY1126 @ SV164 ) @ true @ ( k3 @ SY1125 @ SY1125 @ SV164 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1630,plain,
    ! [SV533: $i,SV398: $i,SV168: $i] :
      ( ( ! [SY1127: $i] :
            ( ( ifeq @ ( k3 @ SV168 @ SV398 @ SV168 ) @ true @ ( ifeq @ ( s2 @ SV533 ) @ true @ ( ifeq @ ( m2 @ SY1127 ) @ true @ ( ifeq @ ( l1 @ SV168 @ SV398 ) @ true @ ( k3 @ SV533 @ SV533 @ SV533 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1631,plain,
    ! [SV534: $i,SV399: $i,SV172: $i] :
      ( ( ( ifeq @ ( p2 @ SV172 @ SV399 @ SV399 ) @ true @ ( ifeq @ ( r1 @ SV534 ) @ true @ ( k3 @ SV534 @ SV534 @ SV534 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1632,plain,
    ! [SV535: $i,SV401: $i,SV174: $i] :
      ( ( ( ifeq @ ( p2 @ SV174 @ SV401 @ SV535 ) @ true @ ( ifeq @ ( p1 @ SV535 @ SV535 @ SV174 ) @ true @ ( l3 @ SV535 @ SV535 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1633,plain,
    ! [SV536: $i,SV402: $i,SV177: $i] :
      ( ( ( ifeq @ ( l3 @ SV177 @ SV177 ) @ true @ ( ifeq @ ( n2 @ SV402 ) @ true @ ( ifeq @ ( l1 @ SV177 @ SV536 ) @ true @ ( l3 @ SV536 @ SV536 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1634,plain,
    ! [SV537: $i,SV404: $i,SV179: $i] :
      ( ( ( ifeq @ ( k3 @ SV179 @ SV404 @ SV404 ) @ true @ ( ifeq @ ( l2 @ SV537 @ SV537 ) @ true @ ( l3 @ SV404 @ SV404 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1501]) ).

thf(1635,plain,
    ! [SV538: $i,SV405: $i,SV180: $i] :
      ( ( ! [SY1128: $i] :
            ( ( ifeq @ ( s2 @ SV180 ) @ true @ ( ifeq @ ( l2 @ SV405 @ SV538 ) @ true @ ( ifeq @ ( m0 @ SV180 @ SV180 @ SY1128 ) @ true @ ( ifeq @ ( m0 @ SV538 @ SV405 @ SV405 ) @ true @ ( m3 @ SV538 @ SY1128 @ SV538 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1636,plain,
    ! [SV539: $i,SV406: $i,SV181: $i] :
      ( ( ( ifeq @ ( m3 @ SV181 @ SV406 @ SV181 ) @ true @ ( ifeq @ ( l2 @ a @ a ) @ true @ ( ifeq @ ( k2 @ SV539 @ SV406 ) @ true @ ( ifeq @ ( n0 @ SV406 @ a ) @ true @ ( m3 @ SV181 @ SV181 @ SV181 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1503]) ).

thf(1637,plain,
    ! [SV540: $i,SV407: $i,SV182: $i] :
      ( ( ! [SY1129: $i] :
            ( ( ifeq @ ( s2 @ SV182 ) @ true @ ( ifeq @ ( r2 @ SV407 ) @ true @ ( ifeq @ ( q0 @ SV540 @ SV182 ) @ true @ ( ifeq @ ( s0 @ SY1129 ) @ true @ ( m3 @ SV407 @ SV407 @ SV407 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1638,plain,
    ! [SV541: $i,SV408: $i,SV183: $i] :
      ( ( ( ifeq @ ( m3 @ SV183 @ SV408 @ SV183 ) @ true @ ( ifeq @ ( n2 @ SV408 ) @ true @ ( ifeq @ ( m2 @ SV541 ) @ true @ ( m3 @ SV408 @ SV541 @ SV541 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1639,plain,
    ! [SV542: $i,SV412: $i,SV192: $i] :
      ( ( ( ifeq @ ( p2 @ SV192 @ SV412 @ SV542 ) @ true @ ( n3 @ SV542 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1640,plain,
    ! [SV543: $i,SV413: $i,SV193: $i] :
      ( ( ! [SY1130: $i] :
            ( ( ifeq @ ( q2 @ SV193 @ d @ SV413 ) @ true @ ( ifeq @ ( k2 @ SV543 @ SY1130 ) @ true @ ( p3 @ SV413 @ SV543 @ SY1130 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1510]) ).

thf(1641,plain,
    ! [SV544: $i,SV414: $i,SV194: $i] :
      ( ( ( ifeq @ ( k3 @ SV194 @ SV414 @ SV544 ) @ true @ ( ifeq @ ( r2 @ SV194 ) @ true @ ( p3 @ SV544 @ SV194 @ SV414 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1511]) ).

thf(1642,plain,
    ! [SV545: $i,SV415: $i,SV197: $i] :
      ( ( ( ifeq @ ( p3 @ SV197 @ SV197 @ SV415 ) @ true @ ( ifeq @ ( l3 @ SV415 @ SV545 ) @ true @ ( ifeq @ ( l1 @ SV415 @ SV415 ) @ true @ ( p3 @ SV545 @ SV545 @ SV545 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1643,plain,
    ! [SV546: $i,SV416: $i,SV199: $i] :
      ( ( ( ifeq @ ( q2 @ SV199 @ SV416 @ SV546 ) @ true @ ( ifeq @ ( n2 @ SV546 ) @ true @ ( ifeq @ ( s1 @ SV199 ) @ true @ ( p3 @ SV546 @ SV546 @ SV546 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1644,plain,
    ! [SV547: $i,SV418: $i,SV202: $i] :
      ( ( ( ifeq @ ( q2 @ SV202 @ SV418 @ SV547 ) @ true @ ( ifeq @ ( k1 @ SV547 ) @ true @ ( p3 @ SV547 @ SV547 @ SV547 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1645,plain,
    ! [SV548: $i,SV419: $i,SV203: $i] :
      ( ( ! [SY1131: $i] :
            ( ( ifeq @ ( m3 @ SV203 @ SV419 @ SV548 ) @ true @ ( ifeq @ ( p2 @ SY1131 @ SV203 @ SV548 ) @ true @ ( p3 @ SY1131 @ SV203 @ SV203 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1516]) ).

thf(1646,plain,
    ! [SV549: $i,SV420: $i,SV204: $i] :
      ( ( ( ifeq @ ( k2 @ SV204 @ SV204 ) @ true @ ( ifeq @ ( q0 @ SV420 @ SV549 ) @ true @ ( p3 @ SV549 @ SV549 @ SV549 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1517]) ).

thf(1647,plain,
    ! [SV550: $i,SV421: $i,SV206: $i] :
      ( ( ( ifeq @ ( q2 @ SV206 @ SV421 @ SV550 ) @ true @ ( ifeq @ ( n0 @ SV206 @ SV421 ) @ true @ ( q3 @ SV421 @ SV550 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1518]) ).

thf(1648,plain,
    ! [SV551: $i,SV423: $i,SV208: $i] :
      ( ( ( ifeq @ ( q3 @ SV208 @ SV423 ) @ true @ ( ifeq @ ( s2 @ SV423 ) @ true @ ( ifeq @ ( n1 @ SV551 @ SV423 @ SV208 ) @ true @ ( q3 @ SV423 @ SV208 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1520]) ).

thf(1649,plain,
    ! [SV552: $i,SV424: $i,SV209: $i] :
      ( ( ( ifeq @ ( r2 @ SV209 ) @ true @ ( ifeq @ ( l2 @ SV424 @ SV424 ) @ true @ ( ifeq @ ( s1 @ SV552 ) @ true @ ( q3 @ SV209 @ SV209 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1521]) ).

thf(1650,plain,
    ! [SV553: $i,SV427: $i,SV212: $i] :
      ( ( ( ifeq @ ( r2 @ SV212 ) @ true @ ( ifeq @ ( n1 @ SV427 @ SV427 @ SV427 ) @ true @ ( ifeq @ ( l1 @ SV553 @ SV427 ) @ true @ ( r3 @ SV212 @ SV212 @ SV212 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1651,plain,
    ! [SV554: $i,SV428: $i,SV213: $i] :
      ( ( ( ifeq @ ( r3 @ SV213 @ SV428 @ SV213 ) @ true @ ( ifeq @ ( l2 @ SV554 @ SV428 ) @ true @ ( ifeq @ ( p1 @ SV428 @ SV554 @ SV213 ) @ true @ ( r3 @ SV213 @ SV213 @ SV213 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1652,plain,
    ! [SV555: $i,SV431: $i,SV218: $i] :
      ( ( ( ifeq @ ( p2 @ SV218 @ SV431 @ SV555 ) @ true @ ( r3 @ SV218 @ SV555 @ SV218 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1653,plain,
    ! [SV556: $i,SV432: $i,SV219: $i] :
      ( ( ! [SY1132: $i] :
            ( ( ifeq @ ( r3 @ SV219 @ SV432 @ SV432 ) @ true @ ( ifeq @ ( m3 @ SV556 @ b @ SY1132 ) @ true @ ( ifeq @ ( m2 @ SV219 ) @ true @ ( r3 @ SY1132 @ SY1132 @ SV219 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1529]) ).

thf(1654,plain,
    ! [SV557: $i,SV433: $i,SV222: $i] :
      ( ( ( ifeq @ ( r3 @ SV222 @ SV222 @ SV222 ) @ true @ ( ifeq @ ( p3 @ SV222 @ SV433 @ SV557 ) @ true @ ( r3 @ SV433 @ SV433 @ SV433 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1530]) ).

thf(1655,plain,
    ! [SV558: $i,SV434: $i,SV223: $i] :
      ( ( ( ifeq @ ( r3 @ SV223 @ SV434 @ SV434 ) @ true @ ( ifeq @ ( r2 @ SV223 ) @ true @ ( ifeq @ ( k2 @ SV558 @ SV223 ) @ true @ ( r3 @ SV434 @ SV558 @ SV223 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1656,plain,
    ! [SV559: $i,SV435: $i,SV224: $i] :
      ( ( ! [SY1133: $i] :
            ( ( ifeq @ ( s2 @ SV224 ) @ true @ ( ifeq @ ( q2 @ SV435 @ SV224 @ SV435 ) @ true @ ( ifeq @ ( m0 @ SV435 @ SV559 @ SY1133 ) @ true @ ( s3 @ SV224 @ SY1133 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1532]) ).

thf(1657,plain,
    ! [SV560: $i,SV437: $i,SV226: $i] :
      ( ( ( ifeq @ ( p3 @ SV226 @ SV437 @ SV560 ) @ true @ ( l4 @ SV560 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1534]) ).

thf(1658,plain,
    ! [SV561: $i,SV439: $i,SV228: $i] :
      ( ( ( ifeq @ ( s3 @ a @ SV228 ) @ true @ ( ifeq @ ( l2 @ SV439 @ SV561 ) @ true @ ( m4 @ SV228 @ SV561 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1659,plain,
    ! [SV562: $i,SV443: $i,SV232: $i] :
      ( ( ( ifeq @ ( q3 @ SV232 @ SV443 ) @ true @ ( ifeq @ ( n3 @ SV562 ) @ true @ ( p4 @ SV562 @ SV562 @ SV562 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1660,plain,
    ! [SV563: $i,SV445: $i,SV234: $i] :
      ( ( ! [SY1134: $i] :
            ( ( ifeq @ ( p4 @ SV234 @ SV234 @ SV445 ) @ true @ ( ifeq @ ( r3 @ SV563 @ SV563 @ SY1134 ) @ true @ ( p4 @ SY1134 @ SV563 @ SV563 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1661,plain,
    ! [SV564: $i,SV446: $i,SV235: $i] :
      ( ( ! [SY1135: $i] :
            ( ( ifeq @ ( p4 @ SV235 @ SV446 @ SV235 ) @ true @ ( ifeq @ ( l4 @ SV564 ) @ true @ ( ifeq @ ( n0 @ SV564 @ SY1135 ) @ true @ ( p4 @ SV564 @ SV564 @ SV564 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1662,plain,
    ! [SV565: $i,SV447: $i,SV236: $i] :
      ( ( ( ifeq @ ( p4 @ SV236 @ SV447 @ SV236 ) @ true @ ( ifeq @ ( m3 @ SV565 @ SV447 @ SV236 ) @ true @ ( p4 @ SV236 @ SV236 @ SV236 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1544]) ).

thf(1663,plain,
    ! [SV566: $i,SV449: $i,SV238: $i] :
      ( ( ( ifeq @ ( n4 @ SV238 @ SV449 ) @ true @ ( ifeq @ ( k3 @ SV566 @ SV449 @ SV449 ) @ true @ ( ifeq @ ( p1 @ SV449 @ SV566 @ SV238 ) @ true @ ( p4 @ SV238 @ SV238 @ SV238 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1546]) ).

thf(1664,plain,
    ! [SV567: $i,SV450: $i,SV239: $i] :
      ( ( ( ifeq @ ( n4 @ SV239 @ SV450 ) @ true @ ( ifeq @ ( q3 @ SV567 @ SV239 ) @ true @ ( ifeq @ ( l3 @ SV567 @ SV567 ) @ true @ ( p4 @ SV450 @ SV450 @ SV450 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1547]) ).

thf(1665,plain,
    ! [SV568: $i,SV451: $i,SV241: $i] :
      ( ( ! [SY1136: $i,SY1137: $i] :
            ( ( ifeq @ ( m3 @ SV241 @ SV451 @ SV241 ) @ true @ ( ifeq @ ( k3 @ SV568 @ SV568 @ SY1136 ) @ true @ ( ifeq @ ( q2 @ SV241 @ SY1137 @ SY1136 ) @ true @ ( q4 @ SY1136 @ SY1137 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1548]) ).

thf(1666,plain,
    ! [SV569: $i,SV452: $i,SV242: $i] :
      ( ( ( ifeq @ ( q4 @ SV242 @ SV452 ) @ true @ ( ifeq @ ( l4 @ SV242 ) @ true @ ( ifeq @ ( r1 @ SV569 ) @ true @ ( q4 @ SV569 @ SV569 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1549]) ).

thf(1667,plain,
    ! [SV570: $i,SV453: $i,SV243: $i] :
      ( ( ! [SY1138: $i] :
            ( ( ifeq @ ( q3 @ SV243 @ SV453 ) @ true @ ( ifeq @ ( n3 @ SV570 ) @ true @ ( ifeq @ ( p0 @ SY1138 @ SV570 ) @ true @ ( r4 @ SV570 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1668,plain,
    ! [SV571: $i,SV454: $i,SV244: $i] :
      ( ( ! [SY1139: $i] :
            ( ( ifeq @ ( p3 @ SV244 @ SV454 @ SV571 ) @ true @ ( ifeq @ ( l1 @ SY1139 @ SV454 ) @ true @ ( s4 @ SY1139 ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1669,plain,
    ! [SV572: $i,SV455: $i,SV245: $i] :
      ( ( ( ifeq @ ( s4 @ SV245 ) @ true @ ( ifeq @ ( r3 @ SV455 @ SV572 @ SV572 ) @ true @ ( k5 @ SV572 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1670,plain,
    ! [SV573: $i,SV457: $i,SV247: $i] :
      ( ( ( ifeq @ ( p4 @ SV247 @ SV457 @ SV573 ) @ true @ ( ifeq @ ( r0 @ SV247 ) @ true @ ( m5 @ SV247 @ SV573 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1554]) ).

thf(1671,plain,
    ! [SV574: $i,SV459: $i,SV251: $i] :
      ( ( ! [SY1140: $i,SY1141: $i] :
            ( ( ifeq @ ( n5 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( q4 @ SV574 @ SY1140 ) @ true @ ( ifeq @ ( p4 @ SV251 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( n4 @ SY1141 @ SY1140 ) @ true @ ( n5 @ SY1141 @ SV459 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1672,plain,
    ! [SV575: $i,SV462: $i,SV254: $i] :
      ( ( ( ifeq @ ( k5 @ d ) @ true @ ( ifeq @ ( m4 @ SV254 @ SV254 ) @ true @ ( ifeq @ ( p0 @ SV462 @ SV575 ) @ true @ ( n5 @ SV462 @ SV462 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1673,plain,
    ! [SV576: $i,SV464: $i,SV258: $i] :
      ( ( ( ifeq @ ( p4 @ b @ b @ SV258 ) @ true @ ( ifeq @ ( p4 @ SV464 @ SV576 @ SV576 ) @ true @ ( ifeq @ ( s1 @ SV576 ) @ true @ ( n5 @ SV576 @ SV576 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1561]) ).

thf(1674,plain,
    ! [SV577: $i,SV466: $i,SV261: $i] :
      ( ( ( ifeq @ ( p5 @ SV261 @ SV466 @ SV261 ) @ true @ ( ifeq @ ( m4 @ SV466 @ SV577 ) @ true @ ( ifeq @ ( l2 @ SV261 @ SV466 ) @ true @ ( p5 @ SV261 @ SV577 @ SV577 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1675,plain,
    ! [SV578: $i,SV467: $i,SV262: $i] :
      ( ( ( ifeq @ ( q4 @ SV262 @ SV467 ) @ true @ ( ifeq @ ( s1 @ SV578 ) @ true @ ( p5 @ SV578 @ SV262 @ SV578 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1564]) ).

thf(1676,plain,
    ! [SV579: $i,SV472: $i,SV271: $i] :
      ( ( ( ifeq @ ( s5 @ SV271 ) @ true @ ( ifeq @ ( l5 @ SV271 ) @ true @ ( ifeq @ ( k4 @ SV472 ) @ true @ ( ifeq @ ( s3 @ SV472 @ SV579 ) @ true @ ( s5 @ SV472 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1569]) ).

thf(1677,plain,
    ! [SV580: $i,SV474: $i,SV276: $i,SV8: $i] :
      ( ( ( ifeq @ ( p0 @ SV8 @ SV276 ) @ true @ ( ifeq @ ( r0 @ SV474 ) @ true @ ( ifeq @ ( m0 @ SV580 @ SV276 @ SV8 ) @ true @ ( l1 @ SV276 @ SV580 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1571]) ).

thf(1678,plain,
    ! [SV581: $i,SV479: $i,SV287: $i,SV19: $i] :
      ( ( ( ifeq @ ( m1 @ SV19 @ SV287 @ SV479 ) @ true @ ( ifeq @ ( m1 @ SV19 @ SV479 @ SV581 ) @ true @ ( m1 @ SV581 @ SV479 @ SV479 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1576]) ).

thf(1679,plain,
    ! [SV582: $i,SV485: $i,SV303: $i,SV40: $i] :
      ( ( ( ifeq @ ( k0 @ SV40 ) @ true @ ( ifeq @ ( m0 @ SV303 @ SV485 @ SV303 ) @ true @ ( ifeq @ ( q0 @ SV582 @ SV485 ) @ true @ ( n1 @ SV40 @ SV40 @ SV40 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1582]) ).

thf(1680,plain,
    ! [SV583: $i,SV490: $i,SV312: $i,SV52: $i] :
      ( ( ( ifeq @ ( m0 @ SV52 @ SV312 @ SV312 ) @ true @ ( ifeq @ ( m0 @ SV490 @ SV52 @ SV583 ) @ true @ ( n1 @ SV583 @ SV583 @ SV490 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1681,plain,
    ! [SV584: $i,SV493: $i,SV320: $i,SV62: $i] :
      ( ( ( ifeq @ ( p1 @ SV62 @ SV320 @ SV493 ) @ true @ ( ifeq @ ( l0 @ SV584 ) @ true @ ( ifeq @ ( s0 @ b ) @ true @ ( p1 @ SV493 @ SV62 @ SV493 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1590]) ).

thf(1682,plain,
    ! [SV585: $i,SV494: $i,SV324: $i,SV67: $i] :
      ( ( ( ifeq @ ( n1 @ SV67 @ SV324 @ SV494 ) @ true @ ( ifeq @ ( l0 @ SV585 ) @ true @ ( ifeq @ ( n0 @ SV67 @ SV67 ) @ true @ ( p1 @ SV494 @ SV494 @ SV494 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1591]) ).

thf(1683,plain,
    ! [SV586: $i,SV495: $i,SV325: $i,SV68: $i] :
      ( ( ! [SY1142: $i] :
            ( ( ifeq @ ( m1 @ SV68 @ SV325 @ SV495 ) @ true @ ( ifeq @ ( l0 @ SV586 ) @ true @ ( ifeq @ ( q0 @ SV325 @ SY1142 ) @ true @ ( p1 @ SV495 @ SV495 @ SV495 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1592]) ).

thf(1684,plain,
    ! [SV587: $i,SV496: $i,SV326: $i,SV69: $i] :
      ( ( ( ifeq @ ( p1 @ SV69 @ SV326 @ SV496 ) @ true @ ( ifeq @ ( m0 @ SV69 @ SV326 @ SV496 ) @ true @ ( p1 @ SV326 @ SV587 @ SV69 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1593]) ).

thf(1685,plain,
    ! [SV588: $i,SV498: $i,SV331: $i,SV75: $i] :
      ( ( ! [SY1143: $i] :
            ( ( ifeq @ ( n1 @ SV75 @ SV331 @ SV498 ) @ true @ ( ifeq @ ( q0 @ SV75 @ SV588 ) @ true @ ( ifeq @ ( k1 @ SY1143 ) @ true @ ( p1 @ SV331 @ SV331 @ SV331 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1595]) ).

thf(1686,plain,
    ! [SV589: $i,SV499: $i,SV332: $i,SV76: $i] :
      ( ( ( ifeq @ ( p0 @ SV76 @ SV332 ) @ true @ ( ifeq @ ( n0 @ SV499 @ SV589 ) @ true @ ( q1 @ SV332 @ SV589 @ SV332 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1596]) ).

thf(1687,plain,
    ! [SV590: $i,SV500: $i,SV335: $i,SV79: $i] :
      ( ( ( ifeq @ ( q1 @ SV79 @ SV335 @ SV500 ) @ true @ ( ifeq @ ( n1 @ SV335 @ SV500 @ SV500 ) @ true @ ( ifeq @ ( m1 @ SV590 @ SV500 @ SV335 ) @ true @ ( ifeq @ ( p0 @ SV335 @ SV79 ) @ true @ ( q1 @ SV590 @ SV590 @ SV590 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1597]) ).

thf(1688,plain,
    ! [SV591: $i,SV503: $i,SV340: $i,SV87: $i] :
      ( ( ( ifeq @ ( l0 @ SV87 ) @ true @ ( ifeq @ ( p0 @ SV340 @ SV87 ) @ true @ ( ifeq @ ( r0 @ SV503 ) @ true @ ( ifeq @ ( q0 @ SV591 @ SV591 ) @ true @ ( q1 @ SV87 @ SV591 @ SV87 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1600]) ).

thf(1689,plain,
    ! [SV592: $i,SV510: $i,SV352: $i,SV106: $i] :
      ( ( ( ifeq @ ( k2 @ SV106 @ SV352 ) @ true @ ( ifeq @ ( m1 @ SV510 @ SV352 @ SV592 ) @ true @ ( ifeq @ ( k1 @ SV106 ) @ true @ ( k2 @ SV592 @ SV352 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1607]) ).

thf(1690,plain,
    ! [SV593: $i,SV511: $i,SV355: $i,SV110: $i] :
      ( ( ( ifeq @ ( s1 @ SV110 ) @ true @ ( ifeq @ ( p0 @ SV355 @ SV355 ) @ true @ ( ifeq @ ( m0 @ SV511 @ SV110 @ SV593 ) @ true @ ( l2 @ SV593 @ SV593 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1608]) ).

thf(1691,plain,
    ! [SV594: $i,SV515: $i,SV362: $i,SV119: $i] :
      ( ( ( ifeq @ ( p2 @ SV119 @ SV362 @ SV119 ) @ true @ ( ifeq @ ( p1 @ SV119 @ SV515 @ SV594 ) @ true @ ( ifeq @ ( l1 @ SV515 @ SV594 ) @ true @ ( p2 @ SV119 @ SV362 @ SV362 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1612]) ).

thf(1692,plain,
    ! [SV595: $i,SV527: $i,SV387: $i,SV154: $i] :
      ( ( ( ifeq @ ( q2 @ SV154 @ SV154 @ SV154 ) @ true @ ( ifeq @ ( r1 @ SV154 ) @ true @ ( ifeq @ ( k0 @ SV154 ) @ true @ ( ifeq @ ( m0 @ SV387 @ SV527 @ SV595 ) @ true @ ( q2 @ SV595 @ SV154 @ SV595 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1624]) ).

thf(1693,plain,
    ! [SV596: $i,SV528: $i,SV388: $i,SV157: $i] :
      ( ( ( ifeq @ ( p2 @ SV157 @ SV388 @ SV528 ) @ true @ ( ifeq @ ( s1 @ SV388 ) @ true @ ( ifeq @ ( n0 @ SV596 @ SV528 ) @ true @ ( k3 @ SV596 @ SV388 @ SV596 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1625]) ).

thf(1694,plain,
    ! [SV597: $i,SV531: $i,SV394: $i,SV163: $i] :
      ( ( ( ifeq @ ( m2 @ SV163 ) @ true @ ( ifeq @ ( m2 @ SV394 ) @ true @ ( ifeq @ ( p1 @ SV531 @ SV394 @ SV597 ) @ true @ ( k3 @ SV597 @ SV597 @ SV531 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1628]) ).

thf(1695,plain,
    ! [SV598: $i,SV532: $i,SV395: $i,SV164: $i] :
      ( ( ! [SY1144: $i] :
            ( ( ifeq @ ( k3 @ SV164 @ SV395 @ SV532 ) @ true @ ( ifeq @ ( k2 @ SV598 @ SV532 ) @ true @ ( ifeq @ ( q0 @ SY1144 @ SV164 ) @ true @ ( k3 @ SV598 @ SV598 @ SV164 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1629]) ).

thf(1696,plain,
    ! [SV599: $i,SV533: $i,SV398: $i,SV168: $i] :
      ( ( ( ifeq @ ( k3 @ SV168 @ SV398 @ SV168 ) @ true @ ( ifeq @ ( s2 @ SV533 ) @ true @ ( ifeq @ ( m2 @ SV599 ) @ true @ ( ifeq @ ( l1 @ SV168 @ SV398 ) @ true @ ( k3 @ SV533 @ SV533 @ SV533 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1630]) ).

thf(1697,plain,
    ! [SV600: $i,SV538: $i,SV405: $i,SV180: $i] :
      ( ( ( ifeq @ ( s2 @ SV180 ) @ true @ ( ifeq @ ( l2 @ SV405 @ SV538 ) @ true @ ( ifeq @ ( m0 @ SV180 @ SV180 @ SV600 ) @ true @ ( ifeq @ ( m0 @ SV538 @ SV405 @ SV405 ) @ true @ ( m3 @ SV538 @ SV600 @ SV538 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1635]) ).

thf(1698,plain,
    ! [SV601: $i,SV540: $i,SV407: $i,SV182: $i] :
      ( ( ( ifeq @ ( s2 @ SV182 ) @ true @ ( ifeq @ ( r2 @ SV407 ) @ true @ ( ifeq @ ( q0 @ SV540 @ SV182 ) @ true @ ( ifeq @ ( s0 @ SV601 ) @ true @ ( m3 @ SV407 @ SV407 @ SV407 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1637]) ).

thf(1699,plain,
    ! [SV602: $i,SV543: $i,SV413: $i,SV193: $i] :
      ( ( ( ifeq @ ( q2 @ SV193 @ d @ SV413 ) @ true @ ( ifeq @ ( k2 @ SV543 @ SV602 ) @ true @ ( p3 @ SV413 @ SV543 @ SV602 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1640]) ).

thf(1700,plain,
    ! [SV603: $i,SV548: $i,SV419: $i,SV203: $i] :
      ( ( ( ifeq @ ( m3 @ SV203 @ SV419 @ SV548 ) @ true @ ( ifeq @ ( p2 @ SV603 @ SV203 @ SV548 ) @ true @ ( p3 @ SV603 @ SV203 @ SV203 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1645]) ).

thf(1701,plain,
    ! [SV604: $i,SV556: $i,SV432: $i,SV219: $i] :
      ( ( ( ifeq @ ( r3 @ SV219 @ SV432 @ SV432 ) @ true @ ( ifeq @ ( m3 @ SV556 @ b @ SV604 ) @ true @ ( ifeq @ ( m2 @ SV219 ) @ true @ ( r3 @ SV604 @ SV604 @ SV219 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1653]) ).

thf(1702,plain,
    ! [SV605: $i,SV559: $i,SV435: $i,SV224: $i] :
      ( ( ( ifeq @ ( s2 @ SV224 ) @ true @ ( ifeq @ ( q2 @ SV435 @ SV224 @ SV435 ) @ true @ ( ifeq @ ( m0 @ SV435 @ SV559 @ SV605 ) @ true @ ( s3 @ SV224 @ SV605 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1656]) ).

thf(1703,plain,
    ! [SV606: $i,SV563: $i,SV445: $i,SV234: $i] :
      ( ( ( ifeq @ ( p4 @ SV234 @ SV234 @ SV445 ) @ true @ ( ifeq @ ( r3 @ SV563 @ SV563 @ SV606 ) @ true @ ( p4 @ SV606 @ SV563 @ SV563 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1660]) ).

thf(1704,plain,
    ! [SV607: $i,SV564: $i,SV446: $i,SV235: $i] :
      ( ( ( ifeq @ ( p4 @ SV235 @ SV446 @ SV235 ) @ true @ ( ifeq @ ( l4 @ SV564 ) @ true @ ( ifeq @ ( n0 @ SV564 @ SV607 ) @ true @ ( p4 @ SV564 @ SV564 @ SV564 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1661]) ).

thf(1705,plain,
    ! [SV608: $i,SV568: $i,SV451: $i,SV241: $i] :
      ( ( ! [SY1145: $i] :
            ( ( ifeq @ ( m3 @ SV241 @ SV451 @ SV241 ) @ true @ ( ifeq @ ( k3 @ SV568 @ SV568 @ SV608 ) @ true @ ( ifeq @ ( q2 @ SV241 @ SY1145 @ SV608 ) @ true @ ( q4 @ SV608 @ SY1145 ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1665]) ).

thf(1706,plain,
    ! [SV609: $i,SV570: $i,SV453: $i,SV243: $i] :
      ( ( ( ifeq @ ( q3 @ SV243 @ SV453 ) @ true @ ( ifeq @ ( n3 @ SV570 ) @ true @ ( ifeq @ ( p0 @ SV609 @ SV570 ) @ true @ ( r4 @ SV570 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1667]) ).

thf(1707,plain,
    ! [SV610: $i,SV571: $i,SV454: $i,SV244: $i] :
      ( ( ( ifeq @ ( p3 @ SV244 @ SV454 @ SV571 ) @ true @ ( ifeq @ ( l1 @ SV610 @ SV454 ) @ true @ ( s4 @ SV610 ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1668]) ).

thf(1708,plain,
    ! [SV611: $i,SV574: $i,SV459: $i,SV251: $i] :
      ( ( ! [SY1146: $i] :
            ( ( ifeq @ ( n5 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( q4 @ SV574 @ SV611 ) @ true @ ( ifeq @ ( p4 @ SV251 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( n4 @ SY1146 @ SV611 ) @ true @ ( n5 @ SY1146 @ SV459 ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1671]) ).

thf(1709,plain,
    ! [SV612: $i,SV586: $i,SV495: $i,SV325: $i,SV68: $i] :
      ( ( ( ifeq @ ( m1 @ SV68 @ SV325 @ SV495 ) @ true @ ( ifeq @ ( l0 @ SV586 ) @ true @ ( ifeq @ ( q0 @ SV325 @ SV612 ) @ true @ ( p1 @ SV495 @ SV495 @ SV495 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1683]) ).

thf(1710,plain,
    ! [SV613: $i,SV588: $i,SV498: $i,SV331: $i,SV75: $i] :
      ( ( ( ifeq @ ( n1 @ SV75 @ SV331 @ SV498 ) @ true @ ( ifeq @ ( q0 @ SV75 @ SV588 ) @ true @ ( ifeq @ ( k1 @ SV613 ) @ true @ ( p1 @ SV331 @ SV331 @ SV331 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1685]) ).

thf(1711,plain,
    ! [SV614: $i,SV598: $i,SV532: $i,SV395: $i,SV164: $i] :
      ( ( ( ifeq @ ( k3 @ SV164 @ SV395 @ SV532 ) @ true @ ( ifeq @ ( k2 @ SV598 @ SV532 ) @ true @ ( ifeq @ ( q0 @ SV614 @ SV164 ) @ true @ ( k3 @ SV598 @ SV598 @ SV164 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1695]) ).

thf(1712,plain,
    ! [SV615: $i,SV608: $i,SV568: $i,SV451: $i,SV241: $i] :
      ( ( ( ifeq @ ( m3 @ SV241 @ SV451 @ SV241 ) @ true @ ( ifeq @ ( k3 @ SV568 @ SV568 @ SV608 ) @ true @ ( ifeq @ ( q2 @ SV241 @ SV615 @ SV608 ) @ true @ ( q4 @ SV608 @ SV615 ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1705]) ).

thf(1713,plain,
    ! [SV616: $i,SV611: $i,SV574: $i,SV459: $i,SV251: $i] :
      ( ( ( ifeq @ ( n5 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( q4 @ SV574 @ SV611 ) @ true @ ( ifeq @ ( p4 @ SV251 @ SV251 @ SV459 ) @ true @ ( ifeq @ ( n4 @ SV616 @ SV611 ) @ true @ ( n5 @ SV616 @ SV459 ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1708]) ).

thf(1714,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[734,1713,1712,1711,1710,1709,1707,1706,1704,1703,1702,1701,1700,1699,1698,1697,1696,1694,1693,1692,1691,1690,1689,1688,1687,1686,1684,1682,1681,1680,1679,1678,1677,1676,1675,1674,1673,1672,1670,1669,1666,1664,1663,1662,1659,1658,1657,1655,1654,1652,1651,1650,1649,1648,1647,1646,1644,1643,1642,1641,1639,1638,1636,1634,1633,1632,1631,1627,1626,1623,1622,1621,1620,1619,1618,1617,1616,1615,1614,1613,1611,1610,1609,1606,1605,1604,1603,1602,1601,1599,1598,1594,1589,1588,1586,1585,1584,1583,1581,1580,1579,1578,1577,1575,1574,1573,1572,1570,1568,1567,1566,1565,1562,1560,1558,1557,1555,1553,1545,1541,1539,1538,1537,1535,1533,1527,1526,1523,1522,1519,1514,1508,1507,1506,1500,1497,1494,1493,1489,1487,1486,1483,1481,1480,1478,1476,1475,1474,1473,1472,1468,1465,1462,1461,1458,1457,1456,1451,1450,1447,1446,1444,1443,1438,1436,1435,1431,1430,1426,1425,1424,1420,1419,1418,1416,1415,1414,1413,1411,1408,1405,1404,1403,1399,1398,1396,1395,1394,1392,1391,1388,1387,1385,1381,1380,1379,1376,1375,1374,1372,1371,1370,1368,1365,1363,1362,1361,1355,1353,1352,1345,1344,1336,1317,1316,1313,1311,1301,1297,1294,1292,1291,1287,1286,1285,1283,1281,1272,1271,1267,1266,1265,1263,1252,1251,1244,1238,1235,1233,1232,1228,1226,1224,1221,1220,1213,1211,1203,1200,1198,1195,1193,1190,1186,1185,1182,1180,1176,1170,1162,1156,1149,1146,1144,1137,1135,1132,1126,1125,1123,1100,1099,1098,1096,1087,1076,1075,1065,1061,1047,1046,1040,1019,1005,996,995,990,989,987,980,971,970,966,963,959,958,948,940,936,929,919,915,911,907,906,904,899,889,886,884,880,863,859,857,856,847,846,845,840,830,826,825,819,816,801,798,794,793,791,783,779,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,751,749,748,746,744,743,742,741,740,739,738,737,736,735]) ).

thf(1715,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1714]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16  % Computer : n006.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.16  % CPULimit : 300
% 0.09/0.16  % WCLimit  : 300
% 0.09/0.16  % DateTime : Tue Oct  6 17:16:07 UTC 2026
% 0.09/0.16  % CPUTime  : 
% 0.09/0.16  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.29/4.68  ..
% 26.29/4.68  
% 26.29/4.68   No.of.Axioms: 363
% 26.29/4.68  
% 26.29/4.68   Length.of.Defs: 0
% 26.29/4.68  
% 26.29/4.68   Contains.Choice.Funs: false
% 26.29/4.68  .............................................................................
% 26.29/4.68  
% 26.29/4.68  ********************************
% 26.29/4.68  *   All subproblems solved!    *
% 26.29/4.68  ********************************
% 26.29/4.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:363,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1714,loop_count:0,foatp_calls:1,translation:fof_full)
% 26.29/4.68  
% 26.29/4.68  %**** Beginning of derivation protocol ****
% 26.29/4.68  % SZS output start CNFRefutation
% See solution above
% 26.29/4.69  
% 26.29/4.69  %**** End of derivation protocol ****
% 26.29/4.69  %**** no. of clauses in derivation: 1715 ****
% 26.29/4.69  %**** clause counter: 1714 ****
% 26.29/4.69  
% 26.29/4.69  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:363,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1714,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------