TSTP Solution File: PUZ038-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:19:30 EDT 2022

% Result   : Unsatisfiable 5.37s 5.61s
% Output   : CNFRefutation 5.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  726 ( 588 unt;  15 typ;   0 def)
%            Number of atoms       : 2892 ( 748 equ;   0 cnn)
%            Maximal formula atoms :    2 (   4 avg)
%            Number of connectives : 26961 ( 660   ~; 685   |;   0   &;25616   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;   3 con; 0-12 aty)
%            Number of variables   : 8199 (   0   ^8199   !;   0   ?;8199   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_bb,type,
    bb: $i > $i > $i ).

thf(tp_e1,type,
    e1: $i > $i > $i ).

thf(tp_e2,type,
    e2: $i > $i > $i ).

thf(tp_h,type,
    h: $i > $i > $i ).

thf(tp_o,type,
    o: $i ).

thf(tp_s,type,
    s: $i > $i ).

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

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

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

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

thf(tp_state,type,
    state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_v1,type,
    v1: $i > $i > $i ).

thf(tp_v2,type,
    v2: $i > $i > $i ).

thf(tp_v3,type,
    v3: $i > $i > $i ).

thf(tp_v4,type,
    v4: $i > $i > $i ).

thf(1,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,X: $i,Y: $i,Q: $i,W: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ Q @ W ) )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @ ( e2 @ X @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',swap_blanks) ).

thf(2,axiom,
    ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) )
      | ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_up) ).

thf(3,axiom,
    ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) )
      | ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_down) ).

thf(4,axiom,
    ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
      | ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_left) ).

thf(5,axiom,
    ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) )
      | ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_right) ).

thf(6,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_up) ).

thf(7,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_down) ).

thf(8,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_left) ).

thf(9,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_right) ).

thf(10,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_up) ).

thf(11,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_down) ).

thf(12,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
      | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_left) ).

thf(13,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
      | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_right) ).

thf(14,axiom,
    ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_up) ).

thf(15,axiom,
    ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_down) ).

thf(16,axiom,
    ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
      | ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_left) ).

thf(17,axiom,
    ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
      | ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_right) ).

thf(18,axiom,
    ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_up) ).

thf(19,axiom,
    ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_down) ).

thf(20,axiom,
    ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
      | ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_left) ).

thf(21,axiom,
    ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
      | ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2_right) ).

thf(22,axiom,
    ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_up) ).

thf(23,axiom,
    ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
      | ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_down) ).

thf(24,axiom,
    ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
      | ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_left) ).

thf(25,axiom,
    ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
      ( ~ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
      | ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_right) ).

thf(26,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_up) ).

thf(27,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_down) ).

thf(28,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_left) ).

thf(29,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_right) ).

thf(30,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_up) ).

thf(31,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_down) ).

thf(32,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_left) ).

thf(33,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_right) ).

thf(34,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_up) ).

thf(35,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_down) ).

thf(36,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_left) ).

thf(37,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_right) ).

thf(38,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_up) ).

thf(39,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_down) ).

thf(40,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_left) ).

thf(41,axiom,
    ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
      ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
      | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_right) ).

thf(42,axiom,
    state @ ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @ ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @ ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @ ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @ ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @ ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @ ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @ ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).

thf(43,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(44,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[43]) ).

thf(45,negated_conjecture,
    ! [B: $i,V1: $i,V2: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E1: $i,E2: $i] :
      ~ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).

thf(46,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[44]) ).

thf(47,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,X: $i,Y: $i,Q: $i,W: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ Q @ W ) )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @ ( e2 @ X @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(48,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) )
          | ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(49,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) )
          | ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(50,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(51,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) )
          | ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(52,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(53,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(54,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(55,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(56,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(57,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(58,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(59,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(60,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(61,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(62,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(63,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(64,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(65,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(66,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(67,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(68,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(69,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(70,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(71,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(72,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(73,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(74,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(75,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(76,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(77,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(78,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(79,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(80,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(81,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(82,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(83,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(84,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(85,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(86,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(87,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(88,plain,
    ( ( state @ ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @ ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @ ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @ ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @ ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @ ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @ ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @ ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(89,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E1: $i,E2: $i] :
          ~ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(90,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[46]) ).

thf(91,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E1: $i,E2: $i] :
          ~ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(92,plain,
    ( ( state @ ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @ ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @ ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @ ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @ ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @ ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @ ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @ ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(93,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(94,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(95,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(96,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,X: $i,Y: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(97,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(98,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ ( s @ Y ) ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[82]) ).

thf(99,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(100,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,X: $i,Y: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[80]) ).

thf(101,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(102,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ ( s @ Y ) ) @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(103,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(104,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,X: $i,Y: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(105,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(106,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ X @ ( s @ Y ) ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(107,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(108,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,X: $i,Y: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ ( s @ X ) @ Y ) @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @ ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(109,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(110,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ ( v1 @ X @ ( s @ Y ) ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(111,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(112,plain,
    ( ( ! [B: $i,X: $i,Y: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(113,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[67]) ).

thf(114,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ X @ ( s @ Y ) ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(115,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(116,plain,
    ( ( ! [B: $i,V1: $i,X: $i,Y: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ ( v2 @ ( s @ X ) @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ ( v2 @ X @ Y ) @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(117,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(118,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(119,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(120,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,X: $i,Y: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(121,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(122,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(123,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(124,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,X: $i,Y: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(125,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(126,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i,E2: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ E2 )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(127,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(128,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,X: $i,Y: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ ( s @ X ) @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ X ) @ Y ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(129,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) )
          | ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(130,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) )
          | ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(131,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) )
          | ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(132,plain,
    ( ( ! [X: $i,Y: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i] :
          ( ~ ( state @ ( bb @ ( s @ X ) @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ X @ ( s @ Y ) ) )
          | ( state @ ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ ( e2 @ ( s @ ( s @ X ) ) @ ( s @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(133,plain,
    ( ( ! [B: $i,V1: $i,V2: $i,V3: $i,V4: $i,H: $i,S1: $i,S2: $i,S3: $i,S4: $i,X: $i,Y: $i,Q: $i,W: $i] :
          ( ~ ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @ ( e2 @ Q @ W ) )
          | ( state @ B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @ ( e2 @ X @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(134,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(135,plain,
    ! [SV1: $i] :
      ( ( ! [SY491: $i,SY492: $i,SY493: $i,SY494: $i,SY495: $i,SY496: $i,SY497: $i,SY498: $i,SY499: $i,SY500: $i] :
            ~ ( state @ SV1 @ SY491 @ SY492 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SY493 @ SY494 @ SY495 @ SY496 @ SY497 @ SY498 @ SY499 @ SY500 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(136,plain,
    ! [SV2: $i] :
      ( ( ! [SY501: $i,SY502: $i,SY503: $i,SY504: $i,SY505: $i,SY506: $i,SY507: $i,SY508: $i,SY509: $i,SY510: $i,SY511: $i] :
            ( ~ ( state @ SV2 @ SY501 @ SY502 @ SY503 @ SY504 @ SY505 @ ( s1 @ SY506 @ SY507 ) @ SY508 @ SY509 @ SY510 @ ( e1 @ SY506 @ ( s @ SY507 ) ) @ SY511 )
            | ( state @ SV2 @ SY501 @ SY502 @ SY503 @ SY504 @ SY505 @ ( s1 @ SY506 @ ( s @ SY507 ) ) @ SY508 @ SY509 @ SY510 @ ( e1 @ SY506 @ SY507 ) @ SY511 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(137,plain,
    ! [SV3: $i] :
      ( ( ! [SY512: $i,SY513: $i,SY514: $i,SY515: $i,SY516: $i,SY517: $i,SY518: $i,SY519: $i,SY520: $i,SY521: $i,SY522: $i] :
            ( ~ ( state @ SV3 @ SY512 @ SY513 @ SY514 @ SY515 @ SY516 @ ( s1 @ SY517 @ ( s @ SY518 ) ) @ SY519 @ SY520 @ SY521 @ ( e1 @ SY517 @ SY518 ) @ SY522 )
            | ( state @ SV3 @ SY512 @ SY513 @ SY514 @ SY515 @ SY516 @ ( s1 @ SY517 @ SY518 ) @ SY519 @ SY520 @ SY521 @ ( e1 @ SY517 @ ( s @ SY518 ) ) @ SY522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[94]) ).

thf(138,plain,
    ! [SV4: $i] :
      ( ( ! [SY523: $i,SY524: $i,SY525: $i,SY526: $i,SY527: $i,SY528: $i,SY529: $i,SY530: $i,SY531: $i,SY532: $i,SY533: $i] :
            ( ~ ( state @ SV4 @ SY523 @ SY524 @ SY525 @ SY526 @ SY527 @ ( s1 @ SY528 @ SY529 ) @ SY530 @ SY531 @ SY532 @ ( e1 @ ( s @ SY528 ) @ SY529 ) @ SY533 )
            | ( state @ SV4 @ SY523 @ SY524 @ SY525 @ SY526 @ SY527 @ ( s1 @ ( s @ SY528 ) @ SY529 ) @ SY530 @ SY531 @ SY532 @ ( e1 @ SY528 @ SY529 ) @ SY533 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(139,plain,
    ! [SV5: $i] :
      ( ( ! [SY534: $i,SY535: $i,SY536: $i,SY537: $i,SY538: $i,SY539: $i,SY540: $i,SY541: $i,SY542: $i,SY543: $i,SY544: $i] :
            ( ~ ( state @ SV5 @ SY534 @ SY535 @ SY536 @ SY537 @ SY538 @ ( s1 @ ( s @ SY539 ) @ SY540 ) @ SY541 @ SY542 @ SY543 @ ( e1 @ SY539 @ SY540 ) @ SY544 )
            | ( state @ SV5 @ SY534 @ SY535 @ SY536 @ SY537 @ SY538 @ ( s1 @ SY539 @ SY540 ) @ SY541 @ SY542 @ SY543 @ ( e1 @ ( s @ SY539 ) @ SY540 ) @ SY544 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(140,plain,
    ! [SV6: $i] :
      ( ( ! [SY545: $i,SY546: $i,SY547: $i,SY548: $i,SY549: $i,SY550: $i,SY551: $i,SY552: $i,SY553: $i,SY554: $i,SY555: $i] :
            ( ~ ( state @ SV6 @ SY545 @ SY546 @ SY547 @ SY548 @ SY549 @ SY550 @ ( s2 @ SY551 @ SY552 ) @ SY553 @ SY554 @ ( e1 @ SY551 @ ( s @ SY552 ) ) @ SY555 )
            | ( state @ SV6 @ SY545 @ SY546 @ SY547 @ SY548 @ SY549 @ SY550 @ ( s2 @ SY551 @ ( s @ SY552 ) ) @ SY553 @ SY554 @ ( e1 @ SY551 @ SY552 ) @ SY555 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(141,plain,
    ! [SV7: $i] :
      ( ( ! [SY556: $i,SY557: $i,SY558: $i,SY559: $i,SY560: $i,SY561: $i,SY562: $i,SY563: $i,SY564: $i,SY565: $i,SY566: $i] :
            ( ~ ( state @ SV7 @ SY556 @ SY557 @ SY558 @ SY559 @ SY560 @ SY561 @ ( s2 @ SY562 @ ( s @ SY563 ) ) @ SY564 @ SY565 @ ( e1 @ SY562 @ SY563 ) @ SY566 )
            | ( state @ SV7 @ SY556 @ SY557 @ SY558 @ SY559 @ SY560 @ SY561 @ ( s2 @ SY562 @ SY563 ) @ SY564 @ SY565 @ ( e1 @ SY562 @ ( s @ SY563 ) ) @ SY566 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(142,plain,
    ! [SV8: $i] :
      ( ( ! [SY567: $i,SY568: $i,SY569: $i,SY570: $i,SY571: $i,SY572: $i,SY573: $i,SY574: $i,SY575: $i,SY576: $i,SY577: $i] :
            ( ~ ( state @ SV8 @ SY567 @ SY568 @ SY569 @ SY570 @ SY571 @ SY572 @ ( s2 @ SY573 @ SY574 ) @ SY575 @ SY576 @ ( e1 @ ( s @ SY573 ) @ SY574 ) @ SY577 )
            | ( state @ SV8 @ SY567 @ SY568 @ SY569 @ SY570 @ SY571 @ SY572 @ ( s2 @ ( s @ SY573 ) @ SY574 ) @ SY575 @ SY576 @ ( e1 @ SY573 @ SY574 ) @ SY577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(143,plain,
    ! [SV9: $i] :
      ( ( ! [SY578: $i,SY579: $i,SY580: $i,SY581: $i,SY582: $i,SY583: $i,SY584: $i,SY585: $i,SY586: $i,SY587: $i,SY588: $i] :
            ( ~ ( state @ SV9 @ SY578 @ SY579 @ SY580 @ SY581 @ SY582 @ SY583 @ ( s2 @ ( s @ SY584 ) @ SY585 ) @ SY586 @ SY587 @ ( e1 @ SY584 @ SY585 ) @ SY588 )
            | ( state @ SV9 @ SY578 @ SY579 @ SY580 @ SY581 @ SY582 @ SY583 @ ( s2 @ SY584 @ SY585 ) @ SY586 @ SY587 @ ( e1 @ ( s @ SY584 ) @ SY585 ) @ SY588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(144,plain,
    ! [SV10: $i] :
      ( ( ! [SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i,SY594: $i,SY595: $i,SY596: $i,SY597: $i,SY598: $i,SY599: $i] :
            ( ~ ( state @ SV10 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 @ SY594 @ SY595 @ ( s3 @ SY596 @ SY597 ) @ SY598 @ ( e1 @ SY596 @ ( s @ SY597 ) ) @ SY599 )
            | ( state @ SV10 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 @ SY594 @ SY595 @ ( s3 @ SY596 @ ( s @ SY597 ) ) @ SY598 @ ( e1 @ SY596 @ SY597 ) @ SY599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(145,plain,
    ! [SV11: $i] :
      ( ( ! [SY600: $i,SY601: $i,SY602: $i,SY603: $i,SY604: $i,SY605: $i,SY606: $i,SY607: $i,SY608: $i,SY609: $i,SY610: $i] :
            ( ~ ( state @ SV11 @ SY600 @ SY601 @ SY602 @ SY603 @ SY604 @ SY605 @ SY606 @ ( s3 @ SY607 @ ( s @ SY608 ) ) @ SY609 @ ( e1 @ SY607 @ SY608 ) @ SY610 )
            | ( state @ SV11 @ SY600 @ SY601 @ SY602 @ SY603 @ SY604 @ SY605 @ SY606 @ ( s3 @ SY607 @ SY608 ) @ SY609 @ ( e1 @ SY607 @ ( s @ SY608 ) ) @ SY610 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(146,plain,
    ! [SV12: $i] :
      ( ( ! [SY611: $i,SY612: $i,SY613: $i,SY614: $i,SY615: $i,SY616: $i,SY617: $i,SY618: $i,SY619: $i,SY620: $i,SY621: $i] :
            ( ~ ( state @ SV12 @ SY611 @ SY612 @ SY613 @ SY614 @ SY615 @ SY616 @ SY617 @ ( s3 @ SY618 @ SY619 ) @ SY620 @ ( e1 @ ( s @ SY618 ) @ SY619 ) @ SY621 )
            | ( state @ SV12 @ SY611 @ SY612 @ SY613 @ SY614 @ SY615 @ SY616 @ SY617 @ ( s3 @ ( s @ SY618 ) @ SY619 ) @ SY620 @ ( e1 @ SY618 @ SY619 ) @ SY621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[103]) ).

thf(147,plain,
    ! [SV13: $i] :
      ( ( ! [SY622: $i,SY623: $i,SY624: $i,SY625: $i,SY626: $i,SY627: $i,SY628: $i,SY629: $i,SY630: $i,SY631: $i,SY632: $i] :
            ( ~ ( state @ SV13 @ SY622 @ SY623 @ SY624 @ SY625 @ SY626 @ SY627 @ SY628 @ ( s3 @ ( s @ SY629 ) @ SY630 ) @ SY631 @ ( e1 @ SY629 @ SY630 ) @ SY632 )
            | ( state @ SV13 @ SY622 @ SY623 @ SY624 @ SY625 @ SY626 @ SY627 @ SY628 @ ( s3 @ SY629 @ SY630 ) @ SY631 @ ( e1 @ ( s @ SY629 ) @ SY630 ) @ SY632 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[104]) ).

thf(148,plain,
    ! [SV14: $i] :
      ( ( ! [SY633: $i,SY634: $i,SY635: $i,SY636: $i,SY637: $i,SY638: $i,SY639: $i,SY640: $i,SY641: $i,SY642: $i,SY643: $i] :
            ( ~ ( state @ SV14 @ SY633 @ SY634 @ SY635 @ SY636 @ SY637 @ SY638 @ SY639 @ SY640 @ ( s4 @ SY641 @ SY642 ) @ ( e1 @ SY641 @ ( s @ SY642 ) ) @ SY643 )
            | ( state @ SV14 @ SY633 @ SY634 @ SY635 @ SY636 @ SY637 @ SY638 @ SY639 @ SY640 @ ( s4 @ SY641 @ ( s @ SY642 ) ) @ ( e1 @ SY641 @ SY642 ) @ SY643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[105]) ).

thf(149,plain,
    ! [SV15: $i] :
      ( ( ! [SY644: $i,SY645: $i,SY646: $i,SY647: $i,SY648: $i,SY649: $i,SY650: $i,SY651: $i,SY652: $i,SY653: $i,SY654: $i] :
            ( ~ ( state @ SV15 @ SY644 @ SY645 @ SY646 @ SY647 @ SY648 @ SY649 @ SY650 @ SY651 @ ( s4 @ SY652 @ ( s @ SY653 ) ) @ ( e1 @ SY652 @ SY653 ) @ SY654 )
            | ( state @ SV15 @ SY644 @ SY645 @ SY646 @ SY647 @ SY648 @ SY649 @ SY650 @ SY651 @ ( s4 @ SY652 @ SY653 ) @ ( e1 @ SY652 @ ( s @ SY653 ) ) @ SY654 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(150,plain,
    ! [SV16: $i] :
      ( ( ! [SY655: $i,SY656: $i,SY657: $i,SY658: $i,SY659: $i,SY660: $i,SY661: $i,SY662: $i,SY663: $i,SY664: $i,SY665: $i] :
            ( ~ ( state @ SV16 @ SY655 @ SY656 @ SY657 @ SY658 @ SY659 @ SY660 @ SY661 @ SY662 @ ( s4 @ SY663 @ SY664 ) @ ( e1 @ ( s @ SY663 ) @ SY664 ) @ SY665 )
            | ( state @ SV16 @ SY655 @ SY656 @ SY657 @ SY658 @ SY659 @ SY660 @ SY661 @ SY662 @ ( s4 @ ( s @ SY663 ) @ SY664 ) @ ( e1 @ SY663 @ SY664 ) @ SY665 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(151,plain,
    ! [SV17: $i] :
      ( ( ! [SY666: $i,SY667: $i,SY668: $i,SY669: $i,SY670: $i,SY671: $i,SY672: $i,SY673: $i,SY674: $i,SY675: $i,SY676: $i] :
            ( ~ ( state @ SV17 @ SY666 @ SY667 @ SY668 @ SY669 @ SY670 @ SY671 @ SY672 @ SY673 @ ( s4 @ ( s @ SY674 ) @ SY675 ) @ ( e1 @ SY674 @ SY675 ) @ SY676 )
            | ( state @ SV17 @ SY666 @ SY667 @ SY668 @ SY669 @ SY670 @ SY671 @ SY672 @ SY673 @ ( s4 @ SY674 @ SY675 ) @ ( e1 @ ( s @ SY674 ) @ SY675 ) @ SY676 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(152,plain,
    ! [SV18: $i] :
      ( ( ! [SY677: $i,SY678: $i,SY679: $i,SY680: $i,SY681: $i,SY682: $i,SY683: $i,SY684: $i,SY685: $i,SY686: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SY677 @ SY678 ) @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 @ SY684 @ SY685 @ SY686 @ ( e1 @ SY677 @ ( s @ SY678 ) ) @ ( e2 @ ( s @ SY677 ) @ ( s @ SY678 ) ) )
            | ( state @ SV18 @ ( v1 @ SY677 @ ( s @ SY678 ) ) @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 @ SY684 @ SY685 @ SY686 @ ( e1 @ SY677 @ SY678 ) @ ( e2 @ ( s @ SY677 ) @ SY678 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[109]) ).

thf(153,plain,
    ! [SV19: $i] :
      ( ( ! [SY687: $i,SY688: $i,SY689: $i,SY690: $i,SY691: $i,SY692: $i,SY693: $i,SY694: $i,SY695: $i,SY696: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SY687 @ ( s @ SY688 ) ) @ SY689 @ SY690 @ SY691 @ SY692 @ SY693 @ SY694 @ SY695 @ SY696 @ ( e1 @ SY687 @ SY688 ) @ ( e2 @ ( s @ SY687 ) @ SY688 ) )
            | ( state @ SV19 @ ( v1 @ SY687 @ SY688 ) @ SY689 @ SY690 @ SY691 @ SY692 @ SY693 @ SY694 @ SY695 @ SY696 @ ( e1 @ SY687 @ ( s @ SY688 ) ) @ ( e2 @ ( s @ SY687 ) @ ( s @ SY688 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(154,plain,
    ! [SV20: $i] :
      ( ( ! [SY697: $i,SY698: $i,SY699: $i,SY700: $i,SY701: $i,SY702: $i,SY703: $i,SY704: $i,SY705: $i,SY706: $i,SY707: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SY697 @ SY698 ) @ SY699 @ SY700 @ SY701 @ SY702 @ SY703 @ SY704 @ SY705 @ SY706 @ ( e1 @ ( s @ ( s @ SY697 ) ) @ SY698 ) @ SY707 )
            | ( state @ SV20 @ ( v1 @ ( s @ SY697 ) @ SY698 ) @ SY699 @ SY700 @ SY701 @ SY702 @ SY703 @ SY704 @ SY705 @ SY706 @ ( e1 @ SY697 @ SY698 ) @ SY707 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(155,plain,
    ! [SV21: $i] :
      ( ( ! [SY708: $i,SY709: $i,SY710: $i,SY711: $i,SY712: $i,SY713: $i,SY714: $i,SY715: $i,SY716: $i,SY717: $i,SY718: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SY708 ) @ SY709 ) @ SY710 @ SY711 @ SY712 @ SY713 @ SY714 @ SY715 @ SY716 @ SY717 @ ( e1 @ SY708 @ SY709 ) @ SY718 )
            | ( state @ SV21 @ ( v1 @ SY708 @ SY709 ) @ SY710 @ SY711 @ SY712 @ SY713 @ SY714 @ SY715 @ SY716 @ SY717 @ ( e1 @ ( s @ ( s @ SY708 ) ) @ SY709 ) @ SY718 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[112]) ).

thf(156,plain,
    ! [SV22: $i] :
      ( ( ! [SY719: $i,SY720: $i,SY721: $i,SY722: $i,SY723: $i,SY724: $i,SY725: $i,SY726: $i,SY727: $i,SY728: $i] :
            ( ~ ( state @ SV22 @ SY719 @ ( v2 @ SY720 @ SY721 ) @ SY722 @ SY723 @ SY724 @ SY725 @ SY726 @ SY727 @ SY728 @ ( e1 @ SY720 @ ( s @ SY721 ) ) @ ( e2 @ ( s @ SY720 ) @ ( s @ SY721 ) ) )
            | ( state @ SV22 @ SY719 @ ( v2 @ SY720 @ ( s @ SY721 ) ) @ SY722 @ SY723 @ SY724 @ SY725 @ SY726 @ SY727 @ SY728 @ ( e1 @ SY720 @ SY721 ) @ ( e2 @ ( s @ SY720 ) @ SY721 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[113]) ).

thf(157,plain,
    ! [SV23: $i] :
      ( ( ! [SY729: $i,SY730: $i,SY731: $i,SY732: $i,SY733: $i,SY734: $i,SY735: $i,SY736: $i,SY737: $i,SY738: $i] :
            ( ~ ( state @ SV23 @ SY729 @ ( v2 @ SY730 @ ( s @ SY731 ) ) @ SY732 @ SY733 @ SY734 @ SY735 @ SY736 @ SY737 @ SY738 @ ( e1 @ SY730 @ SY731 ) @ ( e2 @ ( s @ SY730 ) @ SY731 ) )
            | ( state @ SV23 @ SY729 @ ( v2 @ SY730 @ SY731 ) @ SY732 @ SY733 @ SY734 @ SY735 @ SY736 @ SY737 @ SY738 @ ( e1 @ SY730 @ ( s @ SY731 ) ) @ ( e2 @ ( s @ SY730 ) @ ( s @ SY731 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[114]) ).

thf(158,plain,
    ! [SV24: $i] :
      ( ( ! [SY739: $i,SY740: $i,SY741: $i,SY742: $i,SY743: $i,SY744: $i,SY745: $i,SY746: $i,SY747: $i,SY748: $i,SY749: $i] :
            ( ~ ( state @ SV24 @ SY739 @ ( v2 @ SY740 @ SY741 ) @ SY742 @ SY743 @ SY744 @ SY745 @ SY746 @ SY747 @ SY748 @ ( e1 @ ( s @ ( s @ SY740 ) ) @ SY741 ) @ SY749 )
            | ( state @ SV24 @ SY739 @ ( v2 @ ( s @ SY740 ) @ SY741 ) @ SY742 @ SY743 @ SY744 @ SY745 @ SY746 @ SY747 @ SY748 @ ( e1 @ SY740 @ SY741 ) @ SY749 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(159,plain,
    ! [SV25: $i] :
      ( ( ! [SY750: $i,SY751: $i,SY752: $i,SY753: $i,SY754: $i,SY755: $i,SY756: $i,SY757: $i,SY758: $i,SY759: $i,SY760: $i] :
            ( ~ ( state @ SV25 @ SY750 @ ( v2 @ ( s @ SY751 ) @ SY752 ) @ SY753 @ SY754 @ SY755 @ SY756 @ SY757 @ SY758 @ SY759 @ ( e1 @ SY751 @ SY752 ) @ SY760 )
            | ( state @ SV25 @ SY750 @ ( v2 @ SY751 @ SY752 ) @ SY753 @ SY754 @ SY755 @ SY756 @ SY757 @ SY758 @ SY759 @ ( e1 @ ( s @ ( s @ SY751 ) ) @ SY752 ) @ SY760 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(160,plain,
    ! [SV26: $i] :
      ( ( ! [SY761: $i,SY762: $i,SY763: $i,SY764: $i,SY765: $i,SY766: $i,SY767: $i,SY768: $i,SY769: $i,SY770: $i] :
            ( ~ ( state @ SV26 @ SY761 @ SY762 @ ( v3 @ SY763 @ SY764 ) @ SY765 @ SY766 @ SY767 @ SY768 @ SY769 @ SY770 @ ( e1 @ SY763 @ ( s @ SY764 ) ) @ ( e2 @ ( s @ SY763 ) @ ( s @ SY764 ) ) )
            | ( state @ SV26 @ SY761 @ SY762 @ ( v3 @ SY763 @ ( s @ SY764 ) ) @ SY765 @ SY766 @ SY767 @ SY768 @ SY769 @ SY770 @ ( e1 @ SY763 @ SY764 ) @ ( e2 @ ( s @ SY763 ) @ SY764 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[117]) ).

thf(161,plain,
    ! [SV27: $i] :
      ( ( ! [SY771: $i,SY772: $i,SY773: $i,SY774: $i,SY775: $i,SY776: $i,SY777: $i,SY778: $i,SY779: $i,SY780: $i] :
            ( ~ ( state @ SV27 @ SY771 @ SY772 @ ( v3 @ SY773 @ ( s @ SY774 ) ) @ SY775 @ SY776 @ SY777 @ SY778 @ SY779 @ SY780 @ ( e1 @ SY773 @ SY774 ) @ ( e2 @ ( s @ SY773 ) @ SY774 ) )
            | ( state @ SV27 @ SY771 @ SY772 @ ( v3 @ SY773 @ SY774 ) @ SY775 @ SY776 @ SY777 @ SY778 @ SY779 @ SY780 @ ( e1 @ SY773 @ ( s @ SY774 ) ) @ ( e2 @ ( s @ SY773 ) @ ( s @ SY774 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[118]) ).

thf(162,plain,
    ! [SV28: $i] :
      ( ( ! [SY781: $i,SY782: $i,SY783: $i,SY784: $i,SY785: $i,SY786: $i,SY787: $i,SY788: $i,SY789: $i,SY790: $i,SY791: $i] :
            ( ~ ( state @ SV28 @ SY781 @ SY782 @ ( v3 @ SY783 @ SY784 ) @ SY785 @ SY786 @ SY787 @ SY788 @ SY789 @ SY790 @ ( e1 @ ( s @ ( s @ SY783 ) ) @ SY784 ) @ SY791 )
            | ( state @ SV28 @ SY781 @ SY782 @ ( v3 @ ( s @ SY783 ) @ SY784 ) @ SY785 @ SY786 @ SY787 @ SY788 @ SY789 @ SY790 @ ( e1 @ SY783 @ SY784 ) @ SY791 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[119]) ).

thf(163,plain,
    ! [SV29: $i] :
      ( ( ! [SY792: $i,SY793: $i,SY794: $i,SY795: $i,SY796: $i,SY797: $i,SY798: $i,SY799: $i,SY800: $i,SY801: $i,SY802: $i] :
            ( ~ ( state @ SV29 @ SY792 @ SY793 @ ( v3 @ ( s @ SY794 ) @ SY795 ) @ SY796 @ SY797 @ SY798 @ SY799 @ SY800 @ SY801 @ ( e1 @ SY794 @ SY795 ) @ SY802 )
            | ( state @ SV29 @ SY792 @ SY793 @ ( v3 @ SY794 @ SY795 ) @ SY796 @ SY797 @ SY798 @ SY799 @ SY800 @ SY801 @ ( e1 @ ( s @ ( s @ SY794 ) ) @ SY795 ) @ SY802 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[120]) ).

thf(164,plain,
    ! [SV30: $i] :
      ( ( ! [SY803: $i,SY804: $i,SY805: $i,SY806: $i,SY807: $i,SY808: $i,SY809: $i,SY810: $i,SY811: $i,SY812: $i] :
            ( ~ ( state @ SV30 @ SY803 @ SY804 @ SY805 @ ( v4 @ SY806 @ SY807 ) @ SY808 @ SY809 @ SY810 @ SY811 @ SY812 @ ( e1 @ SY806 @ ( s @ SY807 ) ) @ ( e2 @ ( s @ SY806 ) @ ( s @ SY807 ) ) )
            | ( state @ SV30 @ SY803 @ SY804 @ SY805 @ ( v4 @ SY806 @ ( s @ SY807 ) ) @ SY808 @ SY809 @ SY810 @ SY811 @ SY812 @ ( e1 @ SY806 @ SY807 ) @ ( e2 @ ( s @ SY806 ) @ SY807 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[121]) ).

thf(165,plain,
    ! [SV31: $i] :
      ( ( ! [SY813: $i,SY814: $i,SY815: $i,SY816: $i,SY817: $i,SY818: $i,SY819: $i,SY820: $i,SY821: $i,SY822: $i] :
            ( ~ ( state @ SV31 @ SY813 @ SY814 @ SY815 @ ( v4 @ SY816 @ ( s @ SY817 ) ) @ SY818 @ SY819 @ SY820 @ SY821 @ SY822 @ ( e1 @ SY816 @ SY817 ) @ ( e2 @ ( s @ SY816 ) @ SY817 ) )
            | ( state @ SV31 @ SY813 @ SY814 @ SY815 @ ( v4 @ SY816 @ SY817 ) @ SY818 @ SY819 @ SY820 @ SY821 @ SY822 @ ( e1 @ SY816 @ ( s @ SY817 ) ) @ ( e2 @ ( s @ SY816 ) @ ( s @ SY817 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[122]) ).

thf(166,plain,
    ! [SV32: $i] :
      ( ( ! [SY823: $i,SY824: $i,SY825: $i,SY826: $i,SY827: $i,SY828: $i,SY829: $i,SY830: $i,SY831: $i,SY832: $i,SY833: $i] :
            ( ~ ( state @ SV32 @ SY823 @ SY824 @ SY825 @ ( v4 @ SY826 @ SY827 ) @ SY828 @ SY829 @ SY830 @ SY831 @ SY832 @ ( e1 @ ( s @ ( s @ SY826 ) ) @ SY827 ) @ SY833 )
            | ( state @ SV32 @ SY823 @ SY824 @ SY825 @ ( v4 @ ( s @ SY826 ) @ SY827 ) @ SY828 @ SY829 @ SY830 @ SY831 @ SY832 @ ( e1 @ SY826 @ SY827 ) @ SY833 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[123]) ).

thf(167,plain,
    ! [SV33: $i] :
      ( ( ! [SY834: $i,SY835: $i,SY836: $i,SY837: $i,SY838: $i,SY839: $i,SY840: $i,SY841: $i,SY842: $i,SY843: $i,SY844: $i] :
            ( ~ ( state @ SV33 @ SY834 @ SY835 @ SY836 @ ( v4 @ ( s @ SY837 ) @ SY838 ) @ SY839 @ SY840 @ SY841 @ SY842 @ SY843 @ ( e1 @ SY837 @ SY838 ) @ SY844 )
            | ( state @ SV33 @ SY834 @ SY835 @ SY836 @ ( v4 @ SY837 @ SY838 ) @ SY839 @ SY840 @ SY841 @ SY842 @ SY843 @ ( e1 @ ( s @ ( s @ SY837 ) ) @ SY838 ) @ SY844 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[124]) ).

thf(168,plain,
    ! [SV34: $i] :
      ( ( ! [SY845: $i,SY846: $i,SY847: $i,SY848: $i,SY849: $i,SY850: $i,SY851: $i,SY852: $i,SY853: $i,SY854: $i,SY855: $i] :
            ( ~ ( state @ SV34 @ SY845 @ SY846 @ SY847 @ SY848 @ ( h @ SY849 @ SY850 ) @ SY851 @ SY852 @ SY853 @ SY854 @ ( e1 @ SY849 @ ( s @ ( s @ SY850 ) ) ) @ SY855 )
            | ( state @ SV34 @ SY845 @ SY846 @ SY847 @ SY848 @ ( h @ SY849 @ ( s @ SY850 ) ) @ SY851 @ SY852 @ SY853 @ SY854 @ ( e1 @ SY849 @ SY850 ) @ SY855 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[125]) ).

thf(169,plain,
    ! [SV35: $i] :
      ( ( ! [SY856: $i,SY857: $i,SY858: $i,SY859: $i,SY860: $i,SY861: $i,SY862: $i,SY863: $i,SY864: $i,SY865: $i,SY866: $i] :
            ( ~ ( state @ SV35 @ SY856 @ SY857 @ SY858 @ SY859 @ ( h @ SY860 @ ( s @ SY861 ) ) @ SY862 @ SY863 @ SY864 @ SY865 @ ( e1 @ SY860 @ SY861 ) @ SY866 )
            | ( state @ SV35 @ SY856 @ SY857 @ SY858 @ SY859 @ ( h @ SY860 @ SY861 ) @ SY862 @ SY863 @ SY864 @ SY865 @ ( e1 @ SY860 @ ( s @ ( s @ SY861 ) ) ) @ SY866 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[126]) ).

thf(170,plain,
    ! [SV36: $i] :
      ( ( ! [SY867: $i,SY868: $i,SY869: $i,SY870: $i,SY871: $i,SY872: $i,SY873: $i,SY874: $i,SY875: $i,SY876: $i] :
            ( ~ ( state @ SV36 @ SY867 @ SY868 @ SY869 @ SY870 @ ( h @ SY871 @ SY872 ) @ SY873 @ SY874 @ SY875 @ SY876 @ ( e1 @ ( s @ SY871 ) @ SY872 ) @ ( e2 @ ( s @ SY871 ) @ ( s @ SY872 ) ) )
            | ( state @ SV36 @ SY867 @ SY868 @ SY869 @ SY870 @ ( h @ ( s @ SY871 ) @ SY872 ) @ SY873 @ SY874 @ SY875 @ SY876 @ ( e1 @ SY871 @ SY872 ) @ ( e2 @ SY871 @ ( s @ SY872 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[127]) ).

thf(171,plain,
    ! [SV37: $i] :
      ( ( ! [SY877: $i,SY878: $i,SY879: $i,SY880: $i,SY881: $i,SY882: $i,SY883: $i,SY884: $i,SY885: $i,SY886: $i] :
            ( ~ ( state @ SV37 @ SY877 @ SY878 @ SY879 @ SY880 @ ( h @ ( s @ SY881 ) @ SY882 ) @ SY883 @ SY884 @ SY885 @ SY886 @ ( e1 @ SY881 @ SY882 ) @ ( e2 @ SY881 @ ( s @ SY882 ) ) )
            | ( state @ SV37 @ SY877 @ SY878 @ SY879 @ SY880 @ ( h @ SY881 @ SY882 ) @ SY883 @ SY884 @ SY885 @ SY886 @ ( e1 @ ( s @ SY881 ) @ SY882 ) @ ( e2 @ ( s @ SY881 ) @ ( s @ SY882 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[128]) ).

thf(172,plain,
    ! [SV38: $i] :
      ( ( ! [SY887: $i,SY888: $i,SY889: $i,SY890: $i,SY891: $i,SY892: $i,SY893: $i,SY894: $i,SY895: $i,SY896: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SY887 ) @ SY888 @ SY889 @ SY890 @ SY891 @ SY892 @ SY893 @ SY894 @ SY895 @ SY896 @ ( e1 @ SV38 @ ( s @ ( s @ SY887 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SY887 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SY887 ) ) @ SY888 @ SY889 @ SY890 @ SY891 @ SY892 @ SY893 @ SY894 @ SY895 @ SY896 @ ( e1 @ SV38 @ SY887 ) @ ( e2 @ ( s @ SV38 ) @ SY887 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[129]) ).

thf(173,plain,
    ! [SV39: $i] :
      ( ( ! [SY897: $i,SY898: $i,SY899: $i,SY900: $i,SY901: $i,SY902: $i,SY903: $i,SY904: $i,SY905: $i,SY906: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SY897 ) ) @ SY898 @ SY899 @ SY900 @ SY901 @ SY902 @ SY903 @ SY904 @ SY905 @ SY906 @ ( e1 @ SV39 @ SY897 ) @ ( e2 @ ( s @ SV39 ) @ SY897 ) )
            | ( state @ ( bb @ SV39 @ SY897 ) @ SY898 @ SY899 @ SY900 @ SY901 @ SY902 @ SY903 @ SY904 @ SY905 @ SY906 @ ( e1 @ SV39 @ ( s @ ( s @ SY897 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SY897 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[130]) ).

thf(174,plain,
    ! [SV40: $i] :
      ( ( ! [SY907: $i,SY908: $i,SY909: $i,SY910: $i,SY911: $i,SY912: $i,SY913: $i,SY914: $i,SY915: $i,SY916: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SY907 ) @ SY908 @ SY909 @ SY910 @ SY911 @ SY912 @ SY913 @ SY914 @ SY915 @ SY916 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SY907 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SY907 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SY907 ) @ SY908 @ SY909 @ SY910 @ SY911 @ SY912 @ SY913 @ SY914 @ SY915 @ SY916 @ ( e1 @ SV40 @ SY907 ) @ ( e2 @ SV40 @ ( s @ SY907 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[131]) ).

thf(175,plain,
    ! [SV41: $i] :
      ( ( ! [SY917: $i,SY918: $i,SY919: $i,SY920: $i,SY921: $i,SY922: $i,SY923: $i,SY924: $i,SY925: $i,SY926: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SY917 ) @ SY918 @ SY919 @ SY920 @ SY921 @ SY922 @ SY923 @ SY924 @ SY925 @ SY926 @ ( e1 @ SV41 @ SY917 ) @ ( e2 @ SV41 @ ( s @ SY917 ) ) )
            | ( state @ ( bb @ SV41 @ SY917 ) @ SY918 @ SY919 @ SY920 @ SY921 @ SY922 @ SY923 @ SY924 @ SY925 @ SY926 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SY917 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SY917 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[132]) ).

thf(176,plain,
    ! [SV42: $i] :
      ( ( ! [SY927: $i,SY928: $i,SY929: $i,SY930: $i,SY931: $i,SY932: $i,SY933: $i,SY934: $i,SY935: $i,SY936: $i,SY937: $i,SY938: $i,SY939: $i] :
            ( ~ ( state @ SV42 @ SY927 @ SY928 @ SY929 @ SY930 @ SY931 @ SY932 @ SY933 @ SY934 @ SY935 @ ( e1 @ SY936 @ SY937 ) @ ( e2 @ SY938 @ SY939 ) )
            | ( state @ SV42 @ SY927 @ SY928 @ SY929 @ SY930 @ SY931 @ SY932 @ SY933 @ SY934 @ SY935 @ ( e1 @ SY938 @ SY939 ) @ ( e2 @ SY936 @ SY937 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[133]) ).

thf(177,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(178,plain,
    ! [SV43: $i,SV1: $i] :
      ( ( ! [SY940: $i,SY941: $i,SY942: $i,SY943: $i,SY944: $i,SY945: $i,SY946: $i,SY947: $i,SY948: $i] :
            ~ ( state @ SV1 @ SV43 @ SY940 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SY941 @ SY942 @ SY943 @ SY944 @ SY945 @ SY946 @ SY947 @ SY948 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[135]) ).

thf(179,plain,
    ! [SV44: $i,SV2: $i] :
      ( ( ! [SY949: $i,SY950: $i,SY951: $i,SY952: $i,SY953: $i,SY954: $i,SY955: $i,SY956: $i,SY957: $i,SY958: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SY949 @ SY950 @ SY951 @ SY952 @ ( s1 @ SY953 @ SY954 ) @ SY955 @ SY956 @ SY957 @ ( e1 @ SY953 @ ( s @ SY954 ) ) @ SY958 )
            | ( state @ SV2 @ SV44 @ SY949 @ SY950 @ SY951 @ SY952 @ ( s1 @ SY953 @ ( s @ SY954 ) ) @ SY955 @ SY956 @ SY957 @ ( e1 @ SY953 @ SY954 ) @ SY958 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[136]) ).

thf(180,plain,
    ! [SV45: $i,SV3: $i] :
      ( ( ! [SY959: $i,SY960: $i,SY961: $i,SY962: $i,SY963: $i,SY964: $i,SY965: $i,SY966: $i,SY967: $i,SY968: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SY959 @ SY960 @ SY961 @ SY962 @ ( s1 @ SY963 @ ( s @ SY964 ) ) @ SY965 @ SY966 @ SY967 @ ( e1 @ SY963 @ SY964 ) @ SY968 )
            | ( state @ SV3 @ SV45 @ SY959 @ SY960 @ SY961 @ SY962 @ ( s1 @ SY963 @ SY964 ) @ SY965 @ SY966 @ SY967 @ ( e1 @ SY963 @ ( s @ SY964 ) ) @ SY968 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[137]) ).

thf(181,plain,
    ! [SV46: $i,SV4: $i] :
      ( ( ! [SY969: $i,SY970: $i,SY971: $i,SY972: $i,SY973: $i,SY974: $i,SY975: $i,SY976: $i,SY977: $i,SY978: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SY969 @ SY970 @ SY971 @ SY972 @ ( s1 @ SY973 @ SY974 ) @ SY975 @ SY976 @ SY977 @ ( e1 @ ( s @ SY973 ) @ SY974 ) @ SY978 )
            | ( state @ SV4 @ SV46 @ SY969 @ SY970 @ SY971 @ SY972 @ ( s1 @ ( s @ SY973 ) @ SY974 ) @ SY975 @ SY976 @ SY977 @ ( e1 @ SY973 @ SY974 ) @ SY978 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[138]) ).

thf(182,plain,
    ! [SV47: $i,SV5: $i] :
      ( ( ! [SY979: $i,SY980: $i,SY981: $i,SY982: $i,SY983: $i,SY984: $i,SY985: $i,SY986: $i,SY987: $i,SY988: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SY979 @ SY980 @ SY981 @ SY982 @ ( s1 @ ( s @ SY983 ) @ SY984 ) @ SY985 @ SY986 @ SY987 @ ( e1 @ SY983 @ SY984 ) @ SY988 )
            | ( state @ SV5 @ SV47 @ SY979 @ SY980 @ SY981 @ SY982 @ ( s1 @ SY983 @ SY984 ) @ SY985 @ SY986 @ SY987 @ ( e1 @ ( s @ SY983 ) @ SY984 ) @ SY988 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[139]) ).

thf(183,plain,
    ! [SV48: $i,SV6: $i] :
      ( ( ! [SY989: $i,SY990: $i,SY991: $i,SY992: $i,SY993: $i,SY994: $i,SY995: $i,SY996: $i,SY997: $i,SY998: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SY989 @ SY990 @ SY991 @ SY992 @ SY993 @ ( s2 @ SY994 @ SY995 ) @ SY996 @ SY997 @ ( e1 @ SY994 @ ( s @ SY995 ) ) @ SY998 )
            | ( state @ SV6 @ SV48 @ SY989 @ SY990 @ SY991 @ SY992 @ SY993 @ ( s2 @ SY994 @ ( s @ SY995 ) ) @ SY996 @ SY997 @ ( e1 @ SY994 @ SY995 ) @ SY998 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(184,plain,
    ! [SV49: $i,SV7: $i] :
      ( ( ! [SY999: $i,SY1000: $i,SY1001: $i,SY1002: $i,SY1003: $i,SY1004: $i,SY1005: $i,SY1006: $i,SY1007: $i,SY1008: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SY999 @ SY1000 @ SY1001 @ SY1002 @ SY1003 @ ( s2 @ SY1004 @ ( s @ SY1005 ) ) @ SY1006 @ SY1007 @ ( e1 @ SY1004 @ SY1005 ) @ SY1008 )
            | ( state @ SV7 @ SV49 @ SY999 @ SY1000 @ SY1001 @ SY1002 @ SY1003 @ ( s2 @ SY1004 @ SY1005 ) @ SY1006 @ SY1007 @ ( e1 @ SY1004 @ ( s @ SY1005 ) ) @ SY1008 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[141]) ).

thf(185,plain,
    ! [SV50: $i,SV8: $i] :
      ( ( ! [SY1009: $i,SY1010: $i,SY1011: $i,SY1012: $i,SY1013: $i,SY1014: $i,SY1015: $i,SY1016: $i,SY1017: $i,SY1018: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SY1009 @ SY1010 @ SY1011 @ SY1012 @ SY1013 @ ( s2 @ SY1014 @ SY1015 ) @ SY1016 @ SY1017 @ ( e1 @ ( s @ SY1014 ) @ SY1015 ) @ SY1018 )
            | ( state @ SV8 @ SV50 @ SY1009 @ SY1010 @ SY1011 @ SY1012 @ SY1013 @ ( s2 @ ( s @ SY1014 ) @ SY1015 ) @ SY1016 @ SY1017 @ ( e1 @ SY1014 @ SY1015 ) @ SY1018 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[142]) ).

thf(186,plain,
    ! [SV51: $i,SV9: $i] :
      ( ( ! [SY1019: $i,SY1020: $i,SY1021: $i,SY1022: $i,SY1023: $i,SY1024: $i,SY1025: $i,SY1026: $i,SY1027: $i,SY1028: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SY1019 @ SY1020 @ SY1021 @ SY1022 @ SY1023 @ ( s2 @ ( s @ SY1024 ) @ SY1025 ) @ SY1026 @ SY1027 @ ( e1 @ SY1024 @ SY1025 ) @ SY1028 )
            | ( state @ SV9 @ SV51 @ SY1019 @ SY1020 @ SY1021 @ SY1022 @ SY1023 @ ( s2 @ SY1024 @ SY1025 ) @ SY1026 @ SY1027 @ ( e1 @ ( s @ SY1024 ) @ SY1025 ) @ SY1028 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[143]) ).

thf(187,plain,
    ! [SV52: $i,SV10: $i] :
      ( ( ! [SY1029: $i,SY1030: $i,SY1031: $i,SY1032: $i,SY1033: $i,SY1034: $i,SY1035: $i,SY1036: $i,SY1037: $i,SY1038: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SY1029 @ SY1030 @ SY1031 @ SY1032 @ SY1033 @ SY1034 @ ( s3 @ SY1035 @ SY1036 ) @ SY1037 @ ( e1 @ SY1035 @ ( s @ SY1036 ) ) @ SY1038 )
            | ( state @ SV10 @ SV52 @ SY1029 @ SY1030 @ SY1031 @ SY1032 @ SY1033 @ SY1034 @ ( s3 @ SY1035 @ ( s @ SY1036 ) ) @ SY1037 @ ( e1 @ SY1035 @ SY1036 ) @ SY1038 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(188,plain,
    ! [SV53: $i,SV11: $i] :
      ( ( ! [SY1039: $i,SY1040: $i,SY1041: $i,SY1042: $i,SY1043: $i,SY1044: $i,SY1045: $i,SY1046: $i,SY1047: $i,SY1048: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SY1039 @ SY1040 @ SY1041 @ SY1042 @ SY1043 @ SY1044 @ ( s3 @ SY1045 @ ( s @ SY1046 ) ) @ SY1047 @ ( e1 @ SY1045 @ SY1046 ) @ SY1048 )
            | ( state @ SV11 @ SV53 @ SY1039 @ SY1040 @ SY1041 @ SY1042 @ SY1043 @ SY1044 @ ( s3 @ SY1045 @ SY1046 ) @ SY1047 @ ( e1 @ SY1045 @ ( s @ SY1046 ) ) @ SY1048 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(189,plain,
    ! [SV54: $i,SV12: $i] :
      ( ( ! [SY1049: $i,SY1050: $i,SY1051: $i,SY1052: $i,SY1053: $i,SY1054: $i,SY1055: $i,SY1056: $i,SY1057: $i,SY1058: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SY1049 @ SY1050 @ SY1051 @ SY1052 @ SY1053 @ SY1054 @ ( s3 @ SY1055 @ SY1056 ) @ SY1057 @ ( e1 @ ( s @ SY1055 ) @ SY1056 ) @ SY1058 )
            | ( state @ SV12 @ SV54 @ SY1049 @ SY1050 @ SY1051 @ SY1052 @ SY1053 @ SY1054 @ ( s3 @ ( s @ SY1055 ) @ SY1056 ) @ SY1057 @ ( e1 @ SY1055 @ SY1056 ) @ SY1058 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(190,plain,
    ! [SV55: $i,SV13: $i] :
      ( ( ! [SY1059: $i,SY1060: $i,SY1061: $i,SY1062: $i,SY1063: $i,SY1064: $i,SY1065: $i,SY1066: $i,SY1067: $i,SY1068: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SY1059 @ SY1060 @ SY1061 @ SY1062 @ SY1063 @ SY1064 @ ( s3 @ ( s @ SY1065 ) @ SY1066 ) @ SY1067 @ ( e1 @ SY1065 @ SY1066 ) @ SY1068 )
            | ( state @ SV13 @ SV55 @ SY1059 @ SY1060 @ SY1061 @ SY1062 @ SY1063 @ SY1064 @ ( s3 @ SY1065 @ SY1066 ) @ SY1067 @ ( e1 @ ( s @ SY1065 ) @ SY1066 ) @ SY1068 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(191,plain,
    ! [SV56: $i,SV14: $i] :
      ( ( ! [SY1069: $i,SY1070: $i,SY1071: $i,SY1072: $i,SY1073: $i,SY1074: $i,SY1075: $i,SY1076: $i,SY1077: $i,SY1078: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SY1069 @ SY1070 @ SY1071 @ SY1072 @ SY1073 @ SY1074 @ SY1075 @ ( s4 @ SY1076 @ SY1077 ) @ ( e1 @ SY1076 @ ( s @ SY1077 ) ) @ SY1078 )
            | ( state @ SV14 @ SV56 @ SY1069 @ SY1070 @ SY1071 @ SY1072 @ SY1073 @ SY1074 @ SY1075 @ ( s4 @ SY1076 @ ( s @ SY1077 ) ) @ ( e1 @ SY1076 @ SY1077 ) @ SY1078 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(192,plain,
    ! [SV57: $i,SV15: $i] :
      ( ( ! [SY1079: $i,SY1080: $i,SY1081: $i,SY1082: $i,SY1083: $i,SY1084: $i,SY1085: $i,SY1086: $i,SY1087: $i,SY1088: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SY1079 @ SY1080 @ SY1081 @ SY1082 @ SY1083 @ SY1084 @ SY1085 @ ( s4 @ SY1086 @ ( s @ SY1087 ) ) @ ( e1 @ SY1086 @ SY1087 ) @ SY1088 )
            | ( state @ SV15 @ SV57 @ SY1079 @ SY1080 @ SY1081 @ SY1082 @ SY1083 @ SY1084 @ SY1085 @ ( s4 @ SY1086 @ SY1087 ) @ ( e1 @ SY1086 @ ( s @ SY1087 ) ) @ SY1088 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(193,plain,
    ! [SV58: $i,SV16: $i] :
      ( ( ! [SY1089: $i,SY1090: $i,SY1091: $i,SY1092: $i,SY1093: $i,SY1094: $i,SY1095: $i,SY1096: $i,SY1097: $i,SY1098: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SY1089 @ SY1090 @ SY1091 @ SY1092 @ SY1093 @ SY1094 @ SY1095 @ ( s4 @ SY1096 @ SY1097 ) @ ( e1 @ ( s @ SY1096 ) @ SY1097 ) @ SY1098 )
            | ( state @ SV16 @ SV58 @ SY1089 @ SY1090 @ SY1091 @ SY1092 @ SY1093 @ SY1094 @ SY1095 @ ( s4 @ ( s @ SY1096 ) @ SY1097 ) @ ( e1 @ SY1096 @ SY1097 ) @ SY1098 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(194,plain,
    ! [SV59: $i,SV17: $i] :
      ( ( ! [SY1099: $i,SY1100: $i,SY1101: $i,SY1102: $i,SY1103: $i,SY1104: $i,SY1105: $i,SY1106: $i,SY1107: $i,SY1108: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SY1099 @ SY1100 @ SY1101 @ SY1102 @ SY1103 @ SY1104 @ SY1105 @ ( s4 @ ( s @ SY1106 ) @ SY1107 ) @ ( e1 @ SY1106 @ SY1107 ) @ SY1108 )
            | ( state @ SV17 @ SV59 @ SY1099 @ SY1100 @ SY1101 @ SY1102 @ SY1103 @ SY1104 @ SY1105 @ ( s4 @ SY1106 @ SY1107 ) @ ( e1 @ ( s @ SY1106 ) @ SY1107 ) @ SY1108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(195,plain,
    ! [SV60: $i,SV18: $i] :
      ( ( ! [SY1109: $i,SY1110: $i,SY1111: $i,SY1112: $i,SY1113: $i,SY1114: $i,SY1115: $i,SY1116: $i,SY1117: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SY1109 ) @ SY1110 @ SY1111 @ SY1112 @ SY1113 @ SY1114 @ SY1115 @ SY1116 @ SY1117 @ ( e1 @ SV60 @ ( s @ SY1109 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SY1109 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SY1109 ) ) @ SY1110 @ SY1111 @ SY1112 @ SY1113 @ SY1114 @ SY1115 @ SY1116 @ SY1117 @ ( e1 @ SV60 @ SY1109 ) @ ( e2 @ ( s @ SV60 ) @ SY1109 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[152]) ).

thf(196,plain,
    ! [SV61: $i,SV19: $i] :
      ( ( ! [SY1118: $i,SY1119: $i,SY1120: $i,SY1121: $i,SY1122: $i,SY1123: $i,SY1124: $i,SY1125: $i,SY1126: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SY1118 ) ) @ SY1119 @ SY1120 @ SY1121 @ SY1122 @ SY1123 @ SY1124 @ SY1125 @ SY1126 @ ( e1 @ SV61 @ SY1118 ) @ ( e2 @ ( s @ SV61 ) @ SY1118 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SY1118 ) @ SY1119 @ SY1120 @ SY1121 @ SY1122 @ SY1123 @ SY1124 @ SY1125 @ SY1126 @ ( e1 @ SV61 @ ( s @ SY1118 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SY1118 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[153]) ).

thf(197,plain,
    ! [SV62: $i,SV20: $i] :
      ( ( ! [SY1127: $i,SY1128: $i,SY1129: $i,SY1130: $i,SY1131: $i,SY1132: $i,SY1133: $i,SY1134: $i,SY1135: $i,SY1136: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SY1127 ) @ SY1128 @ SY1129 @ SY1130 @ SY1131 @ SY1132 @ SY1133 @ SY1134 @ SY1135 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SY1127 ) @ SY1136 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SY1127 ) @ SY1128 @ SY1129 @ SY1130 @ SY1131 @ SY1132 @ SY1133 @ SY1134 @ SY1135 @ ( e1 @ SV62 @ SY1127 ) @ SY1136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(198,plain,
    ! [SV63: $i,SV21: $i] :
      ( ( ! [SY1137: $i,SY1138: $i,SY1139: $i,SY1140: $i,SY1141: $i,SY1142: $i,SY1143: $i,SY1144: $i,SY1145: $i,SY1146: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SY1137 ) @ SY1138 @ SY1139 @ SY1140 @ SY1141 @ SY1142 @ SY1143 @ SY1144 @ SY1145 @ ( e1 @ SV63 @ SY1137 ) @ SY1146 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SY1137 ) @ SY1138 @ SY1139 @ SY1140 @ SY1141 @ SY1142 @ SY1143 @ SY1144 @ SY1145 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SY1137 ) @ SY1146 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(199,plain,
    ! [SV64: $i,SV22: $i] :
      ( ( ! [SY1147: $i,SY1148: $i,SY1149: $i,SY1150: $i,SY1151: $i,SY1152: $i,SY1153: $i,SY1154: $i,SY1155: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SY1147 @ SY1148 ) @ SY1149 @ SY1150 @ SY1151 @ SY1152 @ SY1153 @ SY1154 @ SY1155 @ ( e1 @ SY1147 @ ( s @ SY1148 ) ) @ ( e2 @ ( s @ SY1147 ) @ ( s @ SY1148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SY1147 @ ( s @ SY1148 ) ) @ SY1149 @ SY1150 @ SY1151 @ SY1152 @ SY1153 @ SY1154 @ SY1155 @ ( e1 @ SY1147 @ SY1148 ) @ ( e2 @ ( s @ SY1147 ) @ SY1148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(200,plain,
    ! [SV65: $i,SV23: $i] :
      ( ( ! [SY1156: $i,SY1157: $i,SY1158: $i,SY1159: $i,SY1160: $i,SY1161: $i,SY1162: $i,SY1163: $i,SY1164: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SY1156 @ ( s @ SY1157 ) ) @ SY1158 @ SY1159 @ SY1160 @ SY1161 @ SY1162 @ SY1163 @ SY1164 @ ( e1 @ SY1156 @ SY1157 ) @ ( e2 @ ( s @ SY1156 ) @ SY1157 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SY1156 @ SY1157 ) @ SY1158 @ SY1159 @ SY1160 @ SY1161 @ SY1162 @ SY1163 @ SY1164 @ ( e1 @ SY1156 @ ( s @ SY1157 ) ) @ ( e2 @ ( s @ SY1156 ) @ ( s @ SY1157 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[157]) ).

thf(201,plain,
    ! [SV66: $i,SV24: $i] :
      ( ( ! [SY1165: $i,SY1166: $i,SY1167: $i,SY1168: $i,SY1169: $i,SY1170: $i,SY1171: $i,SY1172: $i,SY1173: $i,SY1174: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SY1165 @ SY1166 ) @ SY1167 @ SY1168 @ SY1169 @ SY1170 @ SY1171 @ SY1172 @ SY1173 @ ( e1 @ ( s @ ( s @ SY1165 ) ) @ SY1166 ) @ SY1174 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SY1165 ) @ SY1166 ) @ SY1167 @ SY1168 @ SY1169 @ SY1170 @ SY1171 @ SY1172 @ SY1173 @ ( e1 @ SY1165 @ SY1166 ) @ SY1174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(202,plain,
    ! [SV67: $i,SV25: $i] :
      ( ( ! [SY1175: $i,SY1176: $i,SY1177: $i,SY1178: $i,SY1179: $i,SY1180: $i,SY1181: $i,SY1182: $i,SY1183: $i,SY1184: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SY1175 ) @ SY1176 ) @ SY1177 @ SY1178 @ SY1179 @ SY1180 @ SY1181 @ SY1182 @ SY1183 @ ( e1 @ SY1175 @ SY1176 ) @ SY1184 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SY1175 @ SY1176 ) @ SY1177 @ SY1178 @ SY1179 @ SY1180 @ SY1181 @ SY1182 @ SY1183 @ ( e1 @ ( s @ ( s @ SY1175 ) ) @ SY1176 ) @ SY1184 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[159]) ).

thf(203,plain,
    ! [SV68: $i,SV26: $i] :
      ( ( ! [SY1185: $i,SY1186: $i,SY1187: $i,SY1188: $i,SY1189: $i,SY1190: $i,SY1191: $i,SY1192: $i,SY1193: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SY1185 @ ( v3 @ SY1186 @ SY1187 ) @ SY1188 @ SY1189 @ SY1190 @ SY1191 @ SY1192 @ SY1193 @ ( e1 @ SY1186 @ ( s @ SY1187 ) ) @ ( e2 @ ( s @ SY1186 ) @ ( s @ SY1187 ) ) )
            | ( state @ SV26 @ SV68 @ SY1185 @ ( v3 @ SY1186 @ ( s @ SY1187 ) ) @ SY1188 @ SY1189 @ SY1190 @ SY1191 @ SY1192 @ SY1193 @ ( e1 @ SY1186 @ SY1187 ) @ ( e2 @ ( s @ SY1186 ) @ SY1187 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(204,plain,
    ! [SV69: $i,SV27: $i] :
      ( ( ! [SY1194: $i,SY1195: $i,SY1196: $i,SY1197: $i,SY1198: $i,SY1199: $i,SY1200: $i,SY1201: $i,SY1202: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SY1194 @ ( v3 @ SY1195 @ ( s @ SY1196 ) ) @ SY1197 @ SY1198 @ SY1199 @ SY1200 @ SY1201 @ SY1202 @ ( e1 @ SY1195 @ SY1196 ) @ ( e2 @ ( s @ SY1195 ) @ SY1196 ) )
            | ( state @ SV27 @ SV69 @ SY1194 @ ( v3 @ SY1195 @ SY1196 ) @ SY1197 @ SY1198 @ SY1199 @ SY1200 @ SY1201 @ SY1202 @ ( e1 @ SY1195 @ ( s @ SY1196 ) ) @ ( e2 @ ( s @ SY1195 ) @ ( s @ SY1196 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[161]) ).

thf(205,plain,
    ! [SV70: $i,SV28: $i] :
      ( ( ! [SY1203: $i,SY1204: $i,SY1205: $i,SY1206: $i,SY1207: $i,SY1208: $i,SY1209: $i,SY1210: $i,SY1211: $i,SY1212: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SY1203 @ ( v3 @ SY1204 @ SY1205 ) @ SY1206 @ SY1207 @ SY1208 @ SY1209 @ SY1210 @ SY1211 @ ( e1 @ ( s @ ( s @ SY1204 ) ) @ SY1205 ) @ SY1212 )
            | ( state @ SV28 @ SV70 @ SY1203 @ ( v3 @ ( s @ SY1204 ) @ SY1205 ) @ SY1206 @ SY1207 @ SY1208 @ SY1209 @ SY1210 @ SY1211 @ ( e1 @ SY1204 @ SY1205 ) @ SY1212 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[162]) ).

thf(206,plain,
    ! [SV71: $i,SV29: $i] :
      ( ( ! [SY1213: $i,SY1214: $i,SY1215: $i,SY1216: $i,SY1217: $i,SY1218: $i,SY1219: $i,SY1220: $i,SY1221: $i,SY1222: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SY1213 @ ( v3 @ ( s @ SY1214 ) @ SY1215 ) @ SY1216 @ SY1217 @ SY1218 @ SY1219 @ SY1220 @ SY1221 @ ( e1 @ SY1214 @ SY1215 ) @ SY1222 )
            | ( state @ SV29 @ SV71 @ SY1213 @ ( v3 @ SY1214 @ SY1215 ) @ SY1216 @ SY1217 @ SY1218 @ SY1219 @ SY1220 @ SY1221 @ ( e1 @ ( s @ ( s @ SY1214 ) ) @ SY1215 ) @ SY1222 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[163]) ).

thf(207,plain,
    ! [SV72: $i,SV30: $i] :
      ( ( ! [SY1223: $i,SY1224: $i,SY1225: $i,SY1226: $i,SY1227: $i,SY1228: $i,SY1229: $i,SY1230: $i,SY1231: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SY1223 @ SY1224 @ ( v4 @ SY1225 @ SY1226 ) @ SY1227 @ SY1228 @ SY1229 @ SY1230 @ SY1231 @ ( e1 @ SY1225 @ ( s @ SY1226 ) ) @ ( e2 @ ( s @ SY1225 ) @ ( s @ SY1226 ) ) )
            | ( state @ SV30 @ SV72 @ SY1223 @ SY1224 @ ( v4 @ SY1225 @ ( s @ SY1226 ) ) @ SY1227 @ SY1228 @ SY1229 @ SY1230 @ SY1231 @ ( e1 @ SY1225 @ SY1226 ) @ ( e2 @ ( s @ SY1225 ) @ SY1226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[164]) ).

thf(208,plain,
    ! [SV73: $i,SV31: $i] :
      ( ( ! [SY1232: $i,SY1233: $i,SY1234: $i,SY1235: $i,SY1236: $i,SY1237: $i,SY1238: $i,SY1239: $i,SY1240: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SY1232 @ SY1233 @ ( v4 @ SY1234 @ ( s @ SY1235 ) ) @ SY1236 @ SY1237 @ SY1238 @ SY1239 @ SY1240 @ ( e1 @ SY1234 @ SY1235 ) @ ( e2 @ ( s @ SY1234 ) @ SY1235 ) )
            | ( state @ SV31 @ SV73 @ SY1232 @ SY1233 @ ( v4 @ SY1234 @ SY1235 ) @ SY1236 @ SY1237 @ SY1238 @ SY1239 @ SY1240 @ ( e1 @ SY1234 @ ( s @ SY1235 ) ) @ ( e2 @ ( s @ SY1234 ) @ ( s @ SY1235 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(209,plain,
    ! [SV74: $i,SV32: $i] :
      ( ( ! [SY1241: $i,SY1242: $i,SY1243: $i,SY1244: $i,SY1245: $i,SY1246: $i,SY1247: $i,SY1248: $i,SY1249: $i,SY1250: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SY1241 @ SY1242 @ ( v4 @ SY1243 @ SY1244 ) @ SY1245 @ SY1246 @ SY1247 @ SY1248 @ SY1249 @ ( e1 @ ( s @ ( s @ SY1243 ) ) @ SY1244 ) @ SY1250 )
            | ( state @ SV32 @ SV74 @ SY1241 @ SY1242 @ ( v4 @ ( s @ SY1243 ) @ SY1244 ) @ SY1245 @ SY1246 @ SY1247 @ SY1248 @ SY1249 @ ( e1 @ SY1243 @ SY1244 ) @ SY1250 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(210,plain,
    ! [SV75: $i,SV33: $i] :
      ( ( ! [SY1251: $i,SY1252: $i,SY1253: $i,SY1254: $i,SY1255: $i,SY1256: $i,SY1257: $i,SY1258: $i,SY1259: $i,SY1260: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SY1251 @ SY1252 @ ( v4 @ ( s @ SY1253 ) @ SY1254 ) @ SY1255 @ SY1256 @ SY1257 @ SY1258 @ SY1259 @ ( e1 @ SY1253 @ SY1254 ) @ SY1260 )
            | ( state @ SV33 @ SV75 @ SY1251 @ SY1252 @ ( v4 @ SY1253 @ SY1254 ) @ SY1255 @ SY1256 @ SY1257 @ SY1258 @ SY1259 @ ( e1 @ ( s @ ( s @ SY1253 ) ) @ SY1254 ) @ SY1260 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(211,plain,
    ! [SV76: $i,SV34: $i] :
      ( ( ! [SY1261: $i,SY1262: $i,SY1263: $i,SY1264: $i,SY1265: $i,SY1266: $i,SY1267: $i,SY1268: $i,SY1269: $i,SY1270: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SY1261 @ SY1262 @ SY1263 @ ( h @ SY1264 @ SY1265 ) @ SY1266 @ SY1267 @ SY1268 @ SY1269 @ ( e1 @ SY1264 @ ( s @ ( s @ SY1265 ) ) ) @ SY1270 )
            | ( state @ SV34 @ SV76 @ SY1261 @ SY1262 @ SY1263 @ ( h @ SY1264 @ ( s @ SY1265 ) ) @ SY1266 @ SY1267 @ SY1268 @ SY1269 @ ( e1 @ SY1264 @ SY1265 ) @ SY1270 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(212,plain,
    ! [SV77: $i,SV35: $i] :
      ( ( ! [SY1271: $i,SY1272: $i,SY1273: $i,SY1274: $i,SY1275: $i,SY1276: $i,SY1277: $i,SY1278: $i,SY1279: $i,SY1280: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SY1271 @ SY1272 @ SY1273 @ ( h @ SY1274 @ ( s @ SY1275 ) ) @ SY1276 @ SY1277 @ SY1278 @ SY1279 @ ( e1 @ SY1274 @ SY1275 ) @ SY1280 )
            | ( state @ SV35 @ SV77 @ SY1271 @ SY1272 @ SY1273 @ ( h @ SY1274 @ SY1275 ) @ SY1276 @ SY1277 @ SY1278 @ SY1279 @ ( e1 @ SY1274 @ ( s @ ( s @ SY1275 ) ) ) @ SY1280 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(213,plain,
    ! [SV78: $i,SV36: $i] :
      ( ( ! [SY1281: $i,SY1282: $i,SY1283: $i,SY1284: $i,SY1285: $i,SY1286: $i,SY1287: $i,SY1288: $i,SY1289: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SY1281 @ SY1282 @ SY1283 @ ( h @ SY1284 @ SY1285 ) @ SY1286 @ SY1287 @ SY1288 @ SY1289 @ ( e1 @ ( s @ SY1284 ) @ SY1285 ) @ ( e2 @ ( s @ SY1284 ) @ ( s @ SY1285 ) ) )
            | ( state @ SV36 @ SV78 @ SY1281 @ SY1282 @ SY1283 @ ( h @ ( s @ SY1284 ) @ SY1285 ) @ SY1286 @ SY1287 @ SY1288 @ SY1289 @ ( e1 @ SY1284 @ SY1285 ) @ ( e2 @ SY1284 @ ( s @ SY1285 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(214,plain,
    ! [SV79: $i,SV37: $i] :
      ( ( ! [SY1290: $i,SY1291: $i,SY1292: $i,SY1293: $i,SY1294: $i,SY1295: $i,SY1296: $i,SY1297: $i,SY1298: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SY1290 @ SY1291 @ SY1292 @ ( h @ ( s @ SY1293 ) @ SY1294 ) @ SY1295 @ SY1296 @ SY1297 @ SY1298 @ ( e1 @ SY1293 @ SY1294 ) @ ( e2 @ SY1293 @ ( s @ SY1294 ) ) )
            | ( state @ SV37 @ SV79 @ SY1290 @ SY1291 @ SY1292 @ ( h @ SY1293 @ SY1294 ) @ SY1295 @ SY1296 @ SY1297 @ SY1298 @ ( e1 @ ( s @ SY1293 ) @ SY1294 ) @ ( e2 @ ( s @ SY1293 ) @ ( s @ SY1294 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[171]) ).

thf(215,plain,
    ! [SV80: $i,SV38: $i] :
      ( ( ! [SY1299: $i,SY1300: $i,SY1301: $i,SY1302: $i,SY1303: $i,SY1304: $i,SY1305: $i,SY1306: $i,SY1307: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SY1299 @ SY1300 @ SY1301 @ SY1302 @ SY1303 @ SY1304 @ SY1305 @ SY1306 @ SY1307 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SY1299 @ SY1300 @ SY1301 @ SY1302 @ SY1303 @ SY1304 @ SY1305 @ SY1306 @ SY1307 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[172]) ).

thf(216,plain,
    ! [SV81: $i,SV39: $i] :
      ( ( ! [SY1308: $i,SY1309: $i,SY1310: $i,SY1311: $i,SY1312: $i,SY1313: $i,SY1314: $i,SY1315: $i,SY1316: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SY1308 @ SY1309 @ SY1310 @ SY1311 @ SY1312 @ SY1313 @ SY1314 @ SY1315 @ SY1316 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SY1308 @ SY1309 @ SY1310 @ SY1311 @ SY1312 @ SY1313 @ SY1314 @ SY1315 @ SY1316 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(217,plain,
    ! [SV82: $i,SV40: $i] :
      ( ( ! [SY1317: $i,SY1318: $i,SY1319: $i,SY1320: $i,SY1321: $i,SY1322: $i,SY1323: $i,SY1324: $i,SY1325: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SY1317 @ SY1318 @ SY1319 @ SY1320 @ SY1321 @ SY1322 @ SY1323 @ SY1324 @ SY1325 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SY1317 @ SY1318 @ SY1319 @ SY1320 @ SY1321 @ SY1322 @ SY1323 @ SY1324 @ SY1325 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(218,plain,
    ! [SV83: $i,SV41: $i] :
      ( ( ! [SY1326: $i,SY1327: $i,SY1328: $i,SY1329: $i,SY1330: $i,SY1331: $i,SY1332: $i,SY1333: $i,SY1334: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SY1326 @ SY1327 @ SY1328 @ SY1329 @ SY1330 @ SY1331 @ SY1332 @ SY1333 @ SY1334 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SY1326 @ SY1327 @ SY1328 @ SY1329 @ SY1330 @ SY1331 @ SY1332 @ SY1333 @ SY1334 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[175]) ).

thf(219,plain,
    ! [SV84: $i,SV42: $i] :
      ( ( ! [SY1335: $i,SY1336: $i,SY1337: $i,SY1338: $i,SY1339: $i,SY1340: $i,SY1341: $i,SY1342: $i,SY1343: $i,SY1344: $i,SY1345: $i,SY1346: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SY1335 @ SY1336 @ SY1337 @ SY1338 @ SY1339 @ SY1340 @ SY1341 @ SY1342 @ ( e1 @ SY1343 @ SY1344 ) @ ( e2 @ SY1345 @ SY1346 ) )
            | ( state @ SV42 @ SV84 @ SY1335 @ SY1336 @ SY1337 @ SY1338 @ SY1339 @ SY1340 @ SY1341 @ SY1342 @ ( e1 @ SY1345 @ SY1346 ) @ ( e2 @ SY1343 @ SY1344 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(220,plain,
    ! [SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY1347: $i,SY1348: $i,SY1349: $i,SY1350: $i,SY1351: $i,SY1352: $i,SY1353: $i,SY1354: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SY1347 @ SY1348 @ SY1349 @ SY1350 @ SY1351 @ SY1352 @ SY1353 @ SY1354 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(221,plain,
    ! [SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY1355: $i,SY1356: $i,SY1357: $i,SY1358: $i,SY1359: $i,SY1360: $i,SY1361: $i,SY1362: $i,SY1363: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SY1355 @ SY1356 @ SY1357 @ ( s1 @ SY1358 @ SY1359 ) @ SY1360 @ SY1361 @ SY1362 @ ( e1 @ SY1358 @ ( s @ SY1359 ) ) @ SY1363 )
            | ( state @ SV2 @ SV44 @ SV86 @ SY1355 @ SY1356 @ SY1357 @ ( s1 @ SY1358 @ ( s @ SY1359 ) ) @ SY1360 @ SY1361 @ SY1362 @ ( e1 @ SY1358 @ SY1359 ) @ SY1363 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(222,plain,
    ! [SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY1364: $i,SY1365: $i,SY1366: $i,SY1367: $i,SY1368: $i,SY1369: $i,SY1370: $i,SY1371: $i,SY1372: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SY1364 @ SY1365 @ SY1366 @ ( s1 @ SY1367 @ ( s @ SY1368 ) ) @ SY1369 @ SY1370 @ SY1371 @ ( e1 @ SY1367 @ SY1368 ) @ SY1372 )
            | ( state @ SV3 @ SV45 @ SV87 @ SY1364 @ SY1365 @ SY1366 @ ( s1 @ SY1367 @ SY1368 ) @ SY1369 @ SY1370 @ SY1371 @ ( e1 @ SY1367 @ ( s @ SY1368 ) ) @ SY1372 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(223,plain,
    ! [SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY1373: $i,SY1374: $i,SY1375: $i,SY1376: $i,SY1377: $i,SY1378: $i,SY1379: $i,SY1380: $i,SY1381: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SY1373 @ SY1374 @ SY1375 @ ( s1 @ SY1376 @ SY1377 ) @ SY1378 @ SY1379 @ SY1380 @ ( e1 @ ( s @ SY1376 ) @ SY1377 ) @ SY1381 )
            | ( state @ SV4 @ SV46 @ SV88 @ SY1373 @ SY1374 @ SY1375 @ ( s1 @ ( s @ SY1376 ) @ SY1377 ) @ SY1378 @ SY1379 @ SY1380 @ ( e1 @ SY1376 @ SY1377 ) @ SY1381 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(224,plain,
    ! [SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY1382: $i,SY1383: $i,SY1384: $i,SY1385: $i,SY1386: $i,SY1387: $i,SY1388: $i,SY1389: $i,SY1390: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SY1382 @ SY1383 @ SY1384 @ ( s1 @ ( s @ SY1385 ) @ SY1386 ) @ SY1387 @ SY1388 @ SY1389 @ ( e1 @ SY1385 @ SY1386 ) @ SY1390 )
            | ( state @ SV5 @ SV47 @ SV89 @ SY1382 @ SY1383 @ SY1384 @ ( s1 @ SY1385 @ SY1386 ) @ SY1387 @ SY1388 @ SY1389 @ ( e1 @ ( s @ SY1385 ) @ SY1386 ) @ SY1390 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(225,plain,
    ! [SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY1391: $i,SY1392: $i,SY1393: $i,SY1394: $i,SY1395: $i,SY1396: $i,SY1397: $i,SY1398: $i,SY1399: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SY1391 @ SY1392 @ SY1393 @ SY1394 @ ( s2 @ SY1395 @ SY1396 ) @ SY1397 @ SY1398 @ ( e1 @ SY1395 @ ( s @ SY1396 ) ) @ SY1399 )
            | ( state @ SV6 @ SV48 @ SV90 @ SY1391 @ SY1392 @ SY1393 @ SY1394 @ ( s2 @ SY1395 @ ( s @ SY1396 ) ) @ SY1397 @ SY1398 @ ( e1 @ SY1395 @ SY1396 ) @ SY1399 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(226,plain,
    ! [SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY1400: $i,SY1401: $i,SY1402: $i,SY1403: $i,SY1404: $i,SY1405: $i,SY1406: $i,SY1407: $i,SY1408: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SY1400 @ SY1401 @ SY1402 @ SY1403 @ ( s2 @ SY1404 @ ( s @ SY1405 ) ) @ SY1406 @ SY1407 @ ( e1 @ SY1404 @ SY1405 ) @ SY1408 )
            | ( state @ SV7 @ SV49 @ SV91 @ SY1400 @ SY1401 @ SY1402 @ SY1403 @ ( s2 @ SY1404 @ SY1405 ) @ SY1406 @ SY1407 @ ( e1 @ SY1404 @ ( s @ SY1405 ) ) @ SY1408 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(227,plain,
    ! [SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY1409: $i,SY1410: $i,SY1411: $i,SY1412: $i,SY1413: $i,SY1414: $i,SY1415: $i,SY1416: $i,SY1417: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SY1409 @ SY1410 @ SY1411 @ SY1412 @ ( s2 @ SY1413 @ SY1414 ) @ SY1415 @ SY1416 @ ( e1 @ ( s @ SY1413 ) @ SY1414 ) @ SY1417 )
            | ( state @ SV8 @ SV50 @ SV92 @ SY1409 @ SY1410 @ SY1411 @ SY1412 @ ( s2 @ ( s @ SY1413 ) @ SY1414 ) @ SY1415 @ SY1416 @ ( e1 @ SY1413 @ SY1414 ) @ SY1417 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(228,plain,
    ! [SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY1418: $i,SY1419: $i,SY1420: $i,SY1421: $i,SY1422: $i,SY1423: $i,SY1424: $i,SY1425: $i,SY1426: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SY1418 @ SY1419 @ SY1420 @ SY1421 @ ( s2 @ ( s @ SY1422 ) @ SY1423 ) @ SY1424 @ SY1425 @ ( e1 @ SY1422 @ SY1423 ) @ SY1426 )
            | ( state @ SV9 @ SV51 @ SV93 @ SY1418 @ SY1419 @ SY1420 @ SY1421 @ ( s2 @ SY1422 @ SY1423 ) @ SY1424 @ SY1425 @ ( e1 @ ( s @ SY1422 ) @ SY1423 ) @ SY1426 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(229,plain,
    ! [SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY1427: $i,SY1428: $i,SY1429: $i,SY1430: $i,SY1431: $i,SY1432: $i,SY1433: $i,SY1434: $i,SY1435: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SY1427 @ SY1428 @ SY1429 @ SY1430 @ SY1431 @ ( s3 @ SY1432 @ SY1433 ) @ SY1434 @ ( e1 @ SY1432 @ ( s @ SY1433 ) ) @ SY1435 )
            | ( state @ SV10 @ SV52 @ SV94 @ SY1427 @ SY1428 @ SY1429 @ SY1430 @ SY1431 @ ( s3 @ SY1432 @ ( s @ SY1433 ) ) @ SY1434 @ ( e1 @ SY1432 @ SY1433 ) @ SY1435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(230,plain,
    ! [SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY1436: $i,SY1437: $i,SY1438: $i,SY1439: $i,SY1440: $i,SY1441: $i,SY1442: $i,SY1443: $i,SY1444: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SY1436 @ SY1437 @ SY1438 @ SY1439 @ SY1440 @ ( s3 @ SY1441 @ ( s @ SY1442 ) ) @ SY1443 @ ( e1 @ SY1441 @ SY1442 ) @ SY1444 )
            | ( state @ SV11 @ SV53 @ SV95 @ SY1436 @ SY1437 @ SY1438 @ SY1439 @ SY1440 @ ( s3 @ SY1441 @ SY1442 ) @ SY1443 @ ( e1 @ SY1441 @ ( s @ SY1442 ) ) @ SY1444 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(231,plain,
    ! [SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY1445: $i,SY1446: $i,SY1447: $i,SY1448: $i,SY1449: $i,SY1450: $i,SY1451: $i,SY1452: $i,SY1453: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SY1445 @ SY1446 @ SY1447 @ SY1448 @ SY1449 @ ( s3 @ SY1450 @ SY1451 ) @ SY1452 @ ( e1 @ ( s @ SY1450 ) @ SY1451 ) @ SY1453 )
            | ( state @ SV12 @ SV54 @ SV96 @ SY1445 @ SY1446 @ SY1447 @ SY1448 @ SY1449 @ ( s3 @ ( s @ SY1450 ) @ SY1451 ) @ SY1452 @ ( e1 @ SY1450 @ SY1451 ) @ SY1453 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[189]) ).

thf(232,plain,
    ! [SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY1454: $i,SY1455: $i,SY1456: $i,SY1457: $i,SY1458: $i,SY1459: $i,SY1460: $i,SY1461: $i,SY1462: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SY1454 @ SY1455 @ SY1456 @ SY1457 @ SY1458 @ ( s3 @ ( s @ SY1459 ) @ SY1460 ) @ SY1461 @ ( e1 @ SY1459 @ SY1460 ) @ SY1462 )
            | ( state @ SV13 @ SV55 @ SV97 @ SY1454 @ SY1455 @ SY1456 @ SY1457 @ SY1458 @ ( s3 @ SY1459 @ SY1460 ) @ SY1461 @ ( e1 @ ( s @ SY1459 ) @ SY1460 ) @ SY1462 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(233,plain,
    ! [SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY1463: $i,SY1464: $i,SY1465: $i,SY1466: $i,SY1467: $i,SY1468: $i,SY1469: $i,SY1470: $i,SY1471: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SY1463 @ SY1464 @ SY1465 @ SY1466 @ SY1467 @ SY1468 @ ( s4 @ SY1469 @ SY1470 ) @ ( e1 @ SY1469 @ ( s @ SY1470 ) ) @ SY1471 )
            | ( state @ SV14 @ SV56 @ SV98 @ SY1463 @ SY1464 @ SY1465 @ SY1466 @ SY1467 @ SY1468 @ ( s4 @ SY1469 @ ( s @ SY1470 ) ) @ ( e1 @ SY1469 @ SY1470 ) @ SY1471 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[191]) ).

thf(234,plain,
    ! [SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY1472: $i,SY1473: $i,SY1474: $i,SY1475: $i,SY1476: $i,SY1477: $i,SY1478: $i,SY1479: $i,SY1480: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SY1472 @ SY1473 @ SY1474 @ SY1475 @ SY1476 @ SY1477 @ ( s4 @ SY1478 @ ( s @ SY1479 ) ) @ ( e1 @ SY1478 @ SY1479 ) @ SY1480 )
            | ( state @ SV15 @ SV57 @ SV99 @ SY1472 @ SY1473 @ SY1474 @ SY1475 @ SY1476 @ SY1477 @ ( s4 @ SY1478 @ SY1479 ) @ ( e1 @ SY1478 @ ( s @ SY1479 ) ) @ SY1480 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[192]) ).

thf(235,plain,
    ! [SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY1481: $i,SY1482: $i,SY1483: $i,SY1484: $i,SY1485: $i,SY1486: $i,SY1487: $i,SY1488: $i,SY1489: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SY1481 @ SY1482 @ SY1483 @ SY1484 @ SY1485 @ SY1486 @ ( s4 @ SY1487 @ SY1488 ) @ ( e1 @ ( s @ SY1487 ) @ SY1488 ) @ SY1489 )
            | ( state @ SV16 @ SV58 @ SV100 @ SY1481 @ SY1482 @ SY1483 @ SY1484 @ SY1485 @ SY1486 @ ( s4 @ ( s @ SY1487 ) @ SY1488 ) @ ( e1 @ SY1487 @ SY1488 ) @ SY1489 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(236,plain,
    ! [SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY1490: $i,SY1491: $i,SY1492: $i,SY1493: $i,SY1494: $i,SY1495: $i,SY1496: $i,SY1497: $i,SY1498: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SY1490 @ SY1491 @ SY1492 @ SY1493 @ SY1494 @ SY1495 @ ( s4 @ ( s @ SY1496 ) @ SY1497 ) @ ( e1 @ SY1496 @ SY1497 ) @ SY1498 )
            | ( state @ SV17 @ SV59 @ SV101 @ SY1490 @ SY1491 @ SY1492 @ SY1493 @ SY1494 @ SY1495 @ ( s4 @ SY1496 @ SY1497 ) @ ( e1 @ ( s @ SY1496 ) @ SY1497 ) @ SY1498 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[194]) ).

thf(237,plain,
    ! [SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY1499: $i,SY1500: $i,SY1501: $i,SY1502: $i,SY1503: $i,SY1504: $i,SY1505: $i,SY1506: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SY1499 @ SY1500 @ SY1501 @ SY1502 @ SY1503 @ SY1504 @ SY1505 @ SY1506 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SY1499 @ SY1500 @ SY1501 @ SY1502 @ SY1503 @ SY1504 @ SY1505 @ SY1506 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[195]) ).

thf(238,plain,
    ! [SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY1507: $i,SY1508: $i,SY1509: $i,SY1510: $i,SY1511: $i,SY1512: $i,SY1513: $i,SY1514: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SY1507 @ SY1508 @ SY1509 @ SY1510 @ SY1511 @ SY1512 @ SY1513 @ SY1514 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SY1507 @ SY1508 @ SY1509 @ SY1510 @ SY1511 @ SY1512 @ SY1513 @ SY1514 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[196]) ).

thf(239,plain,
    ! [SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY1515: $i,SY1516: $i,SY1517: $i,SY1518: $i,SY1519: $i,SY1520: $i,SY1521: $i,SY1522: $i,SY1523: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SY1515 @ SY1516 @ SY1517 @ SY1518 @ SY1519 @ SY1520 @ SY1521 @ SY1522 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY1523 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SY1515 @ SY1516 @ SY1517 @ SY1518 @ SY1519 @ SY1520 @ SY1521 @ SY1522 @ ( e1 @ SV62 @ SV104 ) @ SY1523 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[197]) ).

thf(240,plain,
    ! [SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY1524: $i,SY1525: $i,SY1526: $i,SY1527: $i,SY1528: $i,SY1529: $i,SY1530: $i,SY1531: $i,SY1532: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SY1524 @ SY1525 @ SY1526 @ SY1527 @ SY1528 @ SY1529 @ SY1530 @ SY1531 @ ( e1 @ SV63 @ SV105 ) @ SY1532 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SY1524 @ SY1525 @ SY1526 @ SY1527 @ SY1528 @ SY1529 @ SY1530 @ SY1531 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY1532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[198]) ).

thf(241,plain,
    ! [SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY1533: $i,SY1534: $i,SY1535: $i,SY1536: $i,SY1537: $i,SY1538: $i,SY1539: $i,SY1540: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SY1533 ) @ SY1534 @ SY1535 @ SY1536 @ SY1537 @ SY1538 @ SY1539 @ SY1540 @ ( e1 @ SV106 @ ( s @ SY1533 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SY1533 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SY1533 ) ) @ SY1534 @ SY1535 @ SY1536 @ SY1537 @ SY1538 @ SY1539 @ SY1540 @ ( e1 @ SV106 @ SY1533 ) @ ( e2 @ ( s @ SV106 ) @ SY1533 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[199]) ).

thf(242,plain,
    ! [SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY1541: $i,SY1542: $i,SY1543: $i,SY1544: $i,SY1545: $i,SY1546: $i,SY1547: $i,SY1548: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SY1541 ) ) @ SY1542 @ SY1543 @ SY1544 @ SY1545 @ SY1546 @ SY1547 @ SY1548 @ ( e1 @ SV107 @ SY1541 ) @ ( e2 @ ( s @ SV107 ) @ SY1541 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SY1541 ) @ SY1542 @ SY1543 @ SY1544 @ SY1545 @ SY1546 @ SY1547 @ SY1548 @ ( e1 @ SV107 @ ( s @ SY1541 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SY1541 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(243,plain,
    ! [SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY1549: $i,SY1550: $i,SY1551: $i,SY1552: $i,SY1553: $i,SY1554: $i,SY1555: $i,SY1556: $i,SY1557: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SY1549 ) @ SY1550 @ SY1551 @ SY1552 @ SY1553 @ SY1554 @ SY1555 @ SY1556 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SY1549 ) @ SY1557 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SY1549 ) @ SY1550 @ SY1551 @ SY1552 @ SY1553 @ SY1554 @ SY1555 @ SY1556 @ ( e1 @ SV108 @ SY1549 ) @ SY1557 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(244,plain,
    ! [SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY1558: $i,SY1559: $i,SY1560: $i,SY1561: $i,SY1562: $i,SY1563: $i,SY1564: $i,SY1565: $i,SY1566: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SY1558 ) @ SY1559 @ SY1560 @ SY1561 @ SY1562 @ SY1563 @ SY1564 @ SY1565 @ ( e1 @ SV109 @ SY1558 ) @ SY1566 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SY1558 ) @ SY1559 @ SY1560 @ SY1561 @ SY1562 @ SY1563 @ SY1564 @ SY1565 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SY1558 ) @ SY1566 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[202]) ).

thf(245,plain,
    ! [SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY1567: $i,SY1568: $i,SY1569: $i,SY1570: $i,SY1571: $i,SY1572: $i,SY1573: $i,SY1574: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SY1567 @ SY1568 ) @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1574 @ ( e1 @ SY1567 @ ( s @ SY1568 ) ) @ ( e2 @ ( s @ SY1567 ) @ ( s @ SY1568 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SY1567 @ ( s @ SY1568 ) ) @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1574 @ ( e1 @ SY1567 @ SY1568 ) @ ( e2 @ ( s @ SY1567 ) @ SY1568 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[203]) ).

thf(246,plain,
    ! [SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY1575: $i,SY1576: $i,SY1577: $i,SY1578: $i,SY1579: $i,SY1580: $i,SY1581: $i,SY1582: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SY1575 @ ( s @ SY1576 ) ) @ SY1577 @ SY1578 @ SY1579 @ SY1580 @ SY1581 @ SY1582 @ ( e1 @ SY1575 @ SY1576 ) @ ( e2 @ ( s @ SY1575 ) @ SY1576 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SY1575 @ SY1576 ) @ SY1577 @ SY1578 @ SY1579 @ SY1580 @ SY1581 @ SY1582 @ ( e1 @ SY1575 @ ( s @ SY1576 ) ) @ ( e2 @ ( s @ SY1575 ) @ ( s @ SY1576 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[204]) ).

thf(247,plain,
    ! [SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY1583: $i,SY1584: $i,SY1585: $i,SY1586: $i,SY1587: $i,SY1588: $i,SY1589: $i,SY1590: $i,SY1591: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SY1583 @ SY1584 ) @ SY1585 @ SY1586 @ SY1587 @ SY1588 @ SY1589 @ SY1590 @ ( e1 @ ( s @ ( s @ SY1583 ) ) @ SY1584 ) @ SY1591 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SY1583 ) @ SY1584 ) @ SY1585 @ SY1586 @ SY1587 @ SY1588 @ SY1589 @ SY1590 @ ( e1 @ SY1583 @ SY1584 ) @ SY1591 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(248,plain,
    ! [SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY1592: $i,SY1593: $i,SY1594: $i,SY1595: $i,SY1596: $i,SY1597: $i,SY1598: $i,SY1599: $i,SY1600: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SY1592 ) @ SY1593 ) @ SY1594 @ SY1595 @ SY1596 @ SY1597 @ SY1598 @ SY1599 @ ( e1 @ SY1592 @ SY1593 ) @ SY1600 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SY1592 @ SY1593 ) @ SY1594 @ SY1595 @ SY1596 @ SY1597 @ SY1598 @ SY1599 @ ( e1 @ ( s @ ( s @ SY1592 ) ) @ SY1593 ) @ SY1600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(249,plain,
    ! [SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY1601: $i,SY1602: $i,SY1603: $i,SY1604: $i,SY1605: $i,SY1606: $i,SY1607: $i,SY1608: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SY1601 @ ( v4 @ SY1602 @ SY1603 ) @ SY1604 @ SY1605 @ SY1606 @ SY1607 @ SY1608 @ ( e1 @ SY1602 @ ( s @ SY1603 ) ) @ ( e2 @ ( s @ SY1602 ) @ ( s @ SY1603 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SY1601 @ ( v4 @ SY1602 @ ( s @ SY1603 ) ) @ SY1604 @ SY1605 @ SY1606 @ SY1607 @ SY1608 @ ( e1 @ SY1602 @ SY1603 ) @ ( e2 @ ( s @ SY1602 ) @ SY1603 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[207]) ).

thf(250,plain,
    ! [SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY1609: $i,SY1610: $i,SY1611: $i,SY1612: $i,SY1613: $i,SY1614: $i,SY1615: $i,SY1616: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SY1609 @ ( v4 @ SY1610 @ ( s @ SY1611 ) ) @ SY1612 @ SY1613 @ SY1614 @ SY1615 @ SY1616 @ ( e1 @ SY1610 @ SY1611 ) @ ( e2 @ ( s @ SY1610 ) @ SY1611 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SY1609 @ ( v4 @ SY1610 @ SY1611 ) @ SY1612 @ SY1613 @ SY1614 @ SY1615 @ SY1616 @ ( e1 @ SY1610 @ ( s @ SY1611 ) ) @ ( e2 @ ( s @ SY1610 ) @ ( s @ SY1611 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(251,plain,
    ! [SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY1617: $i,SY1618: $i,SY1619: $i,SY1620: $i,SY1621: $i,SY1622: $i,SY1623: $i,SY1624: $i,SY1625: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SY1617 @ ( v4 @ SY1618 @ SY1619 ) @ SY1620 @ SY1621 @ SY1622 @ SY1623 @ SY1624 @ ( e1 @ ( s @ ( s @ SY1618 ) ) @ SY1619 ) @ SY1625 )
            | ( state @ SV32 @ SV74 @ SV116 @ SY1617 @ ( v4 @ ( s @ SY1618 ) @ SY1619 ) @ SY1620 @ SY1621 @ SY1622 @ SY1623 @ SY1624 @ ( e1 @ SY1618 @ SY1619 ) @ SY1625 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(252,plain,
    ! [SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY1626: $i,SY1627: $i,SY1628: $i,SY1629: $i,SY1630: $i,SY1631: $i,SY1632: $i,SY1633: $i,SY1634: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SY1626 @ ( v4 @ ( s @ SY1627 ) @ SY1628 ) @ SY1629 @ SY1630 @ SY1631 @ SY1632 @ SY1633 @ ( e1 @ SY1627 @ SY1628 ) @ SY1634 )
            | ( state @ SV33 @ SV75 @ SV117 @ SY1626 @ ( v4 @ SY1627 @ SY1628 ) @ SY1629 @ SY1630 @ SY1631 @ SY1632 @ SY1633 @ ( e1 @ ( s @ ( s @ SY1627 ) ) @ SY1628 ) @ SY1634 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[210]) ).

thf(253,plain,
    ! [SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY1635: $i,SY1636: $i,SY1637: $i,SY1638: $i,SY1639: $i,SY1640: $i,SY1641: $i,SY1642: $i,SY1643: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SY1635 @ SY1636 @ ( h @ SY1637 @ SY1638 ) @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ ( e1 @ SY1637 @ ( s @ ( s @ SY1638 ) ) ) @ SY1643 )
            | ( state @ SV34 @ SV76 @ SV118 @ SY1635 @ SY1636 @ ( h @ SY1637 @ ( s @ SY1638 ) ) @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ ( e1 @ SY1637 @ SY1638 ) @ SY1643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(254,plain,
    ! [SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY1644: $i,SY1645: $i,SY1646: $i,SY1647: $i,SY1648: $i,SY1649: $i,SY1650: $i,SY1651: $i,SY1652: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SY1644 @ SY1645 @ ( h @ SY1646 @ ( s @ SY1647 ) ) @ SY1648 @ SY1649 @ SY1650 @ SY1651 @ ( e1 @ SY1646 @ SY1647 ) @ SY1652 )
            | ( state @ SV35 @ SV77 @ SV119 @ SY1644 @ SY1645 @ ( h @ SY1646 @ SY1647 ) @ SY1648 @ SY1649 @ SY1650 @ SY1651 @ ( e1 @ SY1646 @ ( s @ ( s @ SY1647 ) ) ) @ SY1652 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(255,plain,
    ! [SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY1653: $i,SY1654: $i,SY1655: $i,SY1656: $i,SY1657: $i,SY1658: $i,SY1659: $i,SY1660: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SY1653 @ SY1654 @ ( h @ SY1655 @ SY1656 ) @ SY1657 @ SY1658 @ SY1659 @ SY1660 @ ( e1 @ ( s @ SY1655 ) @ SY1656 ) @ ( e2 @ ( s @ SY1655 ) @ ( s @ SY1656 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SY1653 @ SY1654 @ ( h @ ( s @ SY1655 ) @ SY1656 ) @ SY1657 @ SY1658 @ SY1659 @ SY1660 @ ( e1 @ SY1655 @ SY1656 ) @ ( e2 @ SY1655 @ ( s @ SY1656 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[213]) ).

thf(256,plain,
    ! [SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY1661: $i,SY1662: $i,SY1663: $i,SY1664: $i,SY1665: $i,SY1666: $i,SY1667: $i,SY1668: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SY1661 @ SY1662 @ ( h @ ( s @ SY1663 ) @ SY1664 ) @ SY1665 @ SY1666 @ SY1667 @ SY1668 @ ( e1 @ SY1663 @ SY1664 ) @ ( e2 @ SY1663 @ ( s @ SY1664 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SY1661 @ SY1662 @ ( h @ SY1663 @ SY1664 ) @ SY1665 @ SY1666 @ SY1667 @ SY1668 @ ( e1 @ ( s @ SY1663 ) @ SY1664 ) @ ( e2 @ ( s @ SY1663 ) @ ( s @ SY1664 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(257,plain,
    ! [SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY1669: $i,SY1670: $i,SY1671: $i,SY1672: $i,SY1673: $i,SY1674: $i,SY1675: $i,SY1676: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SY1669 @ SY1670 @ SY1671 @ SY1672 @ SY1673 @ SY1674 @ SY1675 @ SY1676 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SY1669 @ SY1670 @ SY1671 @ SY1672 @ SY1673 @ SY1674 @ SY1675 @ SY1676 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(258,plain,
    ! [SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY1677: $i,SY1678: $i,SY1679: $i,SY1680: $i,SY1681: $i,SY1682: $i,SY1683: $i,SY1684: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SY1677 @ SY1678 @ SY1679 @ SY1680 @ SY1681 @ SY1682 @ SY1683 @ SY1684 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SY1677 @ SY1678 @ SY1679 @ SY1680 @ SY1681 @ SY1682 @ SY1683 @ SY1684 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(259,plain,
    ! [SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY1685: $i,SY1686: $i,SY1687: $i,SY1688: $i,SY1689: $i,SY1690: $i,SY1691: $i,SY1692: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SY1685 @ SY1686 @ SY1687 @ SY1688 @ SY1689 @ SY1690 @ SY1691 @ SY1692 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SY1685 @ SY1686 @ SY1687 @ SY1688 @ SY1689 @ SY1690 @ SY1691 @ SY1692 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(260,plain,
    ! [SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY1693: $i,SY1694: $i,SY1695: $i,SY1696: $i,SY1697: $i,SY1698: $i,SY1699: $i,SY1700: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SY1693 @ SY1694 @ SY1695 @ SY1696 @ SY1697 @ SY1698 @ SY1699 @ SY1700 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SY1693 @ SY1694 @ SY1695 @ SY1696 @ SY1697 @ SY1698 @ SY1699 @ SY1700 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(261,plain,
    ! [SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY1701: $i,SY1702: $i,SY1703: $i,SY1704: $i,SY1705: $i,SY1706: $i,SY1707: $i,SY1708: $i,SY1709: $i,SY1710: $i,SY1711: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1705 @ SY1706 @ SY1707 @ ( e1 @ SY1708 @ SY1709 ) @ ( e2 @ SY1710 @ SY1711 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1705 @ SY1706 @ SY1707 @ ( e1 @ SY1710 @ SY1711 ) @ ( e2 @ SY1708 @ SY1709 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(262,plain,
    ! [SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY1712: $i,SY1713: $i,SY1714: $i,SY1715: $i,SY1716: $i,SY1717: $i,SY1718: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SY1712 @ SY1713 @ SY1714 @ SY1715 @ SY1716 @ SY1717 @ SY1718 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(263,plain,
    ! [SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY1719: $i,SY1720: $i,SY1721: $i,SY1722: $i,SY1723: $i,SY1724: $i,SY1725: $i,SY1726: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SY1719 @ SY1720 @ ( s1 @ SY1721 @ SY1722 ) @ SY1723 @ SY1724 @ SY1725 @ ( e1 @ SY1721 @ ( s @ SY1722 ) ) @ SY1726 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SY1719 @ SY1720 @ ( s1 @ SY1721 @ ( s @ SY1722 ) ) @ SY1723 @ SY1724 @ SY1725 @ ( e1 @ SY1721 @ SY1722 ) @ SY1726 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[221]) ).

thf(264,plain,
    ! [SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY1727: $i,SY1728: $i,SY1729: $i,SY1730: $i,SY1731: $i,SY1732: $i,SY1733: $i,SY1734: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SY1727 @ SY1728 @ ( s1 @ SY1729 @ ( s @ SY1730 ) ) @ SY1731 @ SY1732 @ SY1733 @ ( e1 @ SY1729 @ SY1730 ) @ SY1734 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SY1727 @ SY1728 @ ( s1 @ SY1729 @ SY1730 ) @ SY1731 @ SY1732 @ SY1733 @ ( e1 @ SY1729 @ ( s @ SY1730 ) ) @ SY1734 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(265,plain,
    ! [SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i,SY1739: $i,SY1740: $i,SY1741: $i,SY1742: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SY1735 @ SY1736 @ ( s1 @ SY1737 @ SY1738 ) @ SY1739 @ SY1740 @ SY1741 @ ( e1 @ ( s @ SY1737 ) @ SY1738 ) @ SY1742 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SY1735 @ SY1736 @ ( s1 @ ( s @ SY1737 ) @ SY1738 ) @ SY1739 @ SY1740 @ SY1741 @ ( e1 @ SY1737 @ SY1738 ) @ SY1742 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(266,plain,
    ! [SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY1743: $i,SY1744: $i,SY1745: $i,SY1746: $i,SY1747: $i,SY1748: $i,SY1749: $i,SY1750: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SY1743 @ SY1744 @ ( s1 @ ( s @ SY1745 ) @ SY1746 ) @ SY1747 @ SY1748 @ SY1749 @ ( e1 @ SY1745 @ SY1746 ) @ SY1750 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SY1743 @ SY1744 @ ( s1 @ SY1745 @ SY1746 ) @ SY1747 @ SY1748 @ SY1749 @ ( e1 @ ( s @ SY1745 ) @ SY1746 ) @ SY1750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(267,plain,
    ! [SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY1751: $i,SY1752: $i,SY1753: $i,SY1754: $i,SY1755: $i,SY1756: $i,SY1757: $i,SY1758: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SY1751 @ SY1752 @ SY1753 @ ( s2 @ SY1754 @ SY1755 ) @ SY1756 @ SY1757 @ ( e1 @ SY1754 @ ( s @ SY1755 ) ) @ SY1758 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SY1751 @ SY1752 @ SY1753 @ ( s2 @ SY1754 @ ( s @ SY1755 ) ) @ SY1756 @ SY1757 @ ( e1 @ SY1754 @ SY1755 ) @ SY1758 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[225]) ).

thf(268,plain,
    ! [SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY1759: $i,SY1760: $i,SY1761: $i,SY1762: $i,SY1763: $i,SY1764: $i,SY1765: $i,SY1766: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SY1759 @ SY1760 @ SY1761 @ ( s2 @ SY1762 @ ( s @ SY1763 ) ) @ SY1764 @ SY1765 @ ( e1 @ SY1762 @ SY1763 ) @ SY1766 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SY1759 @ SY1760 @ SY1761 @ ( s2 @ SY1762 @ SY1763 ) @ SY1764 @ SY1765 @ ( e1 @ SY1762 @ ( s @ SY1763 ) ) @ SY1766 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[226]) ).

thf(269,plain,
    ! [SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY1767: $i,SY1768: $i,SY1769: $i,SY1770: $i,SY1771: $i,SY1772: $i,SY1773: $i,SY1774: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SY1767 @ SY1768 @ SY1769 @ ( s2 @ SY1770 @ SY1771 ) @ SY1772 @ SY1773 @ ( e1 @ ( s @ SY1770 ) @ SY1771 ) @ SY1774 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SY1767 @ SY1768 @ SY1769 @ ( s2 @ ( s @ SY1770 ) @ SY1771 ) @ SY1772 @ SY1773 @ ( e1 @ SY1770 @ SY1771 ) @ SY1774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[227]) ).

thf(270,plain,
    ! [SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY1775: $i,SY1776: $i,SY1777: $i,SY1778: $i,SY1779: $i,SY1780: $i,SY1781: $i,SY1782: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SY1775 @ SY1776 @ SY1777 @ ( s2 @ ( s @ SY1778 ) @ SY1779 ) @ SY1780 @ SY1781 @ ( e1 @ SY1778 @ SY1779 ) @ SY1782 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SY1775 @ SY1776 @ SY1777 @ ( s2 @ SY1778 @ SY1779 ) @ SY1780 @ SY1781 @ ( e1 @ ( s @ SY1778 ) @ SY1779 ) @ SY1782 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(271,plain,
    ! [SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY1783: $i,SY1784: $i,SY1785: $i,SY1786: $i,SY1787: $i,SY1788: $i,SY1789: $i,SY1790: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SY1783 @ SY1784 @ SY1785 @ SY1786 @ ( s3 @ SY1787 @ SY1788 ) @ SY1789 @ ( e1 @ SY1787 @ ( s @ SY1788 ) ) @ SY1790 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SY1783 @ SY1784 @ SY1785 @ SY1786 @ ( s3 @ SY1787 @ ( s @ SY1788 ) ) @ SY1789 @ ( e1 @ SY1787 @ SY1788 ) @ SY1790 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(272,plain,
    ! [SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY1791: $i,SY1792: $i,SY1793: $i,SY1794: $i,SY1795: $i,SY1796: $i,SY1797: $i,SY1798: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SY1791 @ SY1792 @ SY1793 @ SY1794 @ ( s3 @ SY1795 @ ( s @ SY1796 ) ) @ SY1797 @ ( e1 @ SY1795 @ SY1796 ) @ SY1798 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SY1791 @ SY1792 @ SY1793 @ SY1794 @ ( s3 @ SY1795 @ SY1796 ) @ SY1797 @ ( e1 @ SY1795 @ ( s @ SY1796 ) ) @ SY1798 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[230]) ).

thf(273,plain,
    ! [SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY1799: $i,SY1800: $i,SY1801: $i,SY1802: $i,SY1803: $i,SY1804: $i,SY1805: $i,SY1806: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SY1799 @ SY1800 @ SY1801 @ SY1802 @ ( s3 @ SY1803 @ SY1804 ) @ SY1805 @ ( e1 @ ( s @ SY1803 ) @ SY1804 ) @ SY1806 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SY1799 @ SY1800 @ SY1801 @ SY1802 @ ( s3 @ ( s @ SY1803 ) @ SY1804 ) @ SY1805 @ ( e1 @ SY1803 @ SY1804 ) @ SY1806 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[231]) ).

thf(274,plain,
    ! [SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY1807: $i,SY1808: $i,SY1809: $i,SY1810: $i,SY1811: $i,SY1812: $i,SY1813: $i,SY1814: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SY1807 @ SY1808 @ SY1809 @ SY1810 @ ( s3 @ ( s @ SY1811 ) @ SY1812 ) @ SY1813 @ ( e1 @ SY1811 @ SY1812 ) @ SY1814 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SY1807 @ SY1808 @ SY1809 @ SY1810 @ ( s3 @ SY1811 @ SY1812 ) @ SY1813 @ ( e1 @ ( s @ SY1811 ) @ SY1812 ) @ SY1814 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[232]) ).

thf(275,plain,
    ! [SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY1815: $i,SY1816: $i,SY1817: $i,SY1818: $i,SY1819: $i,SY1820: $i,SY1821: $i,SY1822: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SY1815 @ SY1816 @ SY1817 @ SY1818 @ SY1819 @ ( s4 @ SY1820 @ SY1821 ) @ ( e1 @ SY1820 @ ( s @ SY1821 ) ) @ SY1822 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SY1815 @ SY1816 @ SY1817 @ SY1818 @ SY1819 @ ( s4 @ SY1820 @ ( s @ SY1821 ) ) @ ( e1 @ SY1820 @ SY1821 ) @ SY1822 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[233]) ).

thf(276,plain,
    ! [SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY1823: $i,SY1824: $i,SY1825: $i,SY1826: $i,SY1827: $i,SY1828: $i,SY1829: $i,SY1830: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SY1823 @ SY1824 @ SY1825 @ SY1826 @ SY1827 @ ( s4 @ SY1828 @ ( s @ SY1829 ) ) @ ( e1 @ SY1828 @ SY1829 ) @ SY1830 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SY1823 @ SY1824 @ SY1825 @ SY1826 @ SY1827 @ ( s4 @ SY1828 @ SY1829 ) @ ( e1 @ SY1828 @ ( s @ SY1829 ) ) @ SY1830 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(277,plain,
    ! [SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY1831: $i,SY1832: $i,SY1833: $i,SY1834: $i,SY1835: $i,SY1836: $i,SY1837: $i,SY1838: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SY1831 @ SY1832 @ SY1833 @ SY1834 @ SY1835 @ ( s4 @ SY1836 @ SY1837 ) @ ( e1 @ ( s @ SY1836 ) @ SY1837 ) @ SY1838 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SY1831 @ SY1832 @ SY1833 @ SY1834 @ SY1835 @ ( s4 @ ( s @ SY1836 ) @ SY1837 ) @ ( e1 @ SY1836 @ SY1837 ) @ SY1838 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(278,plain,
    ! [SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY1839: $i,SY1840: $i,SY1841: $i,SY1842: $i,SY1843: $i,SY1844: $i,SY1845: $i,SY1846: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SY1839 @ SY1840 @ SY1841 @ SY1842 @ SY1843 @ ( s4 @ ( s @ SY1844 ) @ SY1845 ) @ ( e1 @ SY1844 @ SY1845 ) @ SY1846 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SY1839 @ SY1840 @ SY1841 @ SY1842 @ SY1843 @ ( s4 @ SY1844 @ SY1845 ) @ ( e1 @ ( s @ SY1844 ) @ SY1845 ) @ SY1846 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(279,plain,
    ! [SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY1847: $i,SY1848: $i,SY1849: $i,SY1850: $i,SY1851: $i,SY1852: $i,SY1853: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SY1847 @ SY1848 @ SY1849 @ SY1850 @ SY1851 @ SY1852 @ SY1853 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SY1847 @ SY1848 @ SY1849 @ SY1850 @ SY1851 @ SY1852 @ SY1853 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(280,plain,
    ! [SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY1854: $i,SY1855: $i,SY1856: $i,SY1857: $i,SY1858: $i,SY1859: $i,SY1860: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SY1854 @ SY1855 @ SY1856 @ SY1857 @ SY1858 @ SY1859 @ SY1860 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SY1854 @ SY1855 @ SY1856 @ SY1857 @ SY1858 @ SY1859 @ SY1860 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(281,plain,
    ! [SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY1861: $i,SY1862: $i,SY1863: $i,SY1864: $i,SY1865: $i,SY1866: $i,SY1867: $i,SY1868: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SY1861 @ SY1862 @ SY1863 @ SY1864 @ SY1865 @ SY1866 @ SY1867 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY1868 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SY1861 @ SY1862 @ SY1863 @ SY1864 @ SY1865 @ SY1866 @ SY1867 @ ( e1 @ SV62 @ SV104 ) @ SY1868 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(282,plain,
    ! [SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY1869: $i,SY1870: $i,SY1871: $i,SY1872: $i,SY1873: $i,SY1874: $i,SY1875: $i,SY1876: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SY1869 @ SY1870 @ SY1871 @ SY1872 @ SY1873 @ SY1874 @ SY1875 @ ( e1 @ SV63 @ SV105 ) @ SY1876 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SY1869 @ SY1870 @ SY1871 @ SY1872 @ SY1873 @ SY1874 @ SY1875 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY1876 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(283,plain,
    ! [SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY1877: $i,SY1878: $i,SY1879: $i,SY1880: $i,SY1881: $i,SY1882: $i,SY1883: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SY1877 @ SY1878 @ SY1879 @ SY1880 @ SY1881 @ SY1882 @ SY1883 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SY1877 @ SY1878 @ SY1879 @ SY1880 @ SY1881 @ SY1882 @ SY1883 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(284,plain,
    ! [SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY1884: $i,SY1885: $i,SY1886: $i,SY1887: $i,SY1888: $i,SY1889: $i,SY1890: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SY1884 @ SY1885 @ SY1886 @ SY1887 @ SY1888 @ SY1889 @ SY1890 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SY1884 @ SY1885 @ SY1886 @ SY1887 @ SY1888 @ SY1889 @ SY1890 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(285,plain,
    ! [SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY1891: $i,SY1892: $i,SY1893: $i,SY1894: $i,SY1895: $i,SY1896: $i,SY1897: $i,SY1898: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SY1891 @ SY1892 @ SY1893 @ SY1894 @ SY1895 @ SY1896 @ SY1897 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY1898 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SY1891 @ SY1892 @ SY1893 @ SY1894 @ SY1895 @ SY1896 @ SY1897 @ ( e1 @ SV108 @ SV150 ) @ SY1898 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(286,plain,
    ! [SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY1899: $i,SY1900: $i,SY1901: $i,SY1902: $i,SY1903: $i,SY1904: $i,SY1905: $i,SY1906: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SY1899 @ SY1900 @ SY1901 @ SY1902 @ SY1903 @ SY1904 @ SY1905 @ ( e1 @ SV109 @ SV151 ) @ SY1906 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SY1899 @ SY1900 @ SY1901 @ SY1902 @ SY1903 @ SY1904 @ SY1905 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY1906 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(287,plain,
    ! [SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY1907: $i,SY1908: $i,SY1909: $i,SY1910: $i,SY1911: $i,SY1912: $i,SY1913: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SY1907 ) @ SY1908 @ SY1909 @ SY1910 @ SY1911 @ SY1912 @ SY1913 @ ( e1 @ SV152 @ ( s @ SY1907 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SY1907 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SY1907 ) ) @ SY1908 @ SY1909 @ SY1910 @ SY1911 @ SY1912 @ SY1913 @ ( e1 @ SV152 @ SY1907 ) @ ( e2 @ ( s @ SV152 ) @ SY1907 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(288,plain,
    ! [SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY1914: $i,SY1915: $i,SY1916: $i,SY1917: $i,SY1918: $i,SY1919: $i,SY1920: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SY1914 ) ) @ SY1915 @ SY1916 @ SY1917 @ SY1918 @ SY1919 @ SY1920 @ ( e1 @ SV153 @ SY1914 ) @ ( e2 @ ( s @ SV153 ) @ SY1914 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SY1914 ) @ SY1915 @ SY1916 @ SY1917 @ SY1918 @ SY1919 @ SY1920 @ ( e1 @ SV153 @ ( s @ SY1914 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SY1914 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(289,plain,
    ! [SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY1921: $i,SY1922: $i,SY1923: $i,SY1924: $i,SY1925: $i,SY1926: $i,SY1927: $i,SY1928: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SY1921 ) @ SY1922 @ SY1923 @ SY1924 @ SY1925 @ SY1926 @ SY1927 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SY1921 ) @ SY1928 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SY1921 ) @ SY1922 @ SY1923 @ SY1924 @ SY1925 @ SY1926 @ SY1927 @ ( e1 @ SV154 @ SY1921 ) @ SY1928 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(290,plain,
    ! [SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY1929: $i,SY1930: $i,SY1931: $i,SY1932: $i,SY1933: $i,SY1934: $i,SY1935: $i,SY1936: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SY1929 ) @ SY1930 @ SY1931 @ SY1932 @ SY1933 @ SY1934 @ SY1935 @ ( e1 @ SV155 @ SY1929 ) @ SY1936 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SY1929 ) @ SY1930 @ SY1931 @ SY1932 @ SY1933 @ SY1934 @ SY1935 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SY1929 ) @ SY1936 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(291,plain,
    ! [SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY1937: $i,SY1938: $i,SY1939: $i,SY1940: $i,SY1941: $i,SY1942: $i,SY1943: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SY1937 @ SY1938 ) @ SY1939 @ SY1940 @ SY1941 @ SY1942 @ SY1943 @ ( e1 @ SY1937 @ ( s @ SY1938 ) ) @ ( e2 @ ( s @ SY1937 ) @ ( s @ SY1938 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SY1937 @ ( s @ SY1938 ) ) @ SY1939 @ SY1940 @ SY1941 @ SY1942 @ SY1943 @ ( e1 @ SY1937 @ SY1938 ) @ ( e2 @ ( s @ SY1937 ) @ SY1938 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(292,plain,
    ! [SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY1944: $i,SY1945: $i,SY1946: $i,SY1947: $i,SY1948: $i,SY1949: $i,SY1950: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SY1944 @ ( s @ SY1945 ) ) @ SY1946 @ SY1947 @ SY1948 @ SY1949 @ SY1950 @ ( e1 @ SY1944 @ SY1945 ) @ ( e2 @ ( s @ SY1944 ) @ SY1945 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SY1944 @ SY1945 ) @ SY1946 @ SY1947 @ SY1948 @ SY1949 @ SY1950 @ ( e1 @ SY1944 @ ( s @ SY1945 ) ) @ ( e2 @ ( s @ SY1944 ) @ ( s @ SY1945 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(293,plain,
    ! [SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY1951: $i,SY1952: $i,SY1953: $i,SY1954: $i,SY1955: $i,SY1956: $i,SY1957: $i,SY1958: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SY1951 @ SY1952 ) @ SY1953 @ SY1954 @ SY1955 @ SY1956 @ SY1957 @ ( e1 @ ( s @ ( s @ SY1951 ) ) @ SY1952 ) @ SY1958 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SY1951 ) @ SY1952 ) @ SY1953 @ SY1954 @ SY1955 @ SY1956 @ SY1957 @ ( e1 @ SY1951 @ SY1952 ) @ SY1958 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(294,plain,
    ! [SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY1959: $i,SY1960: $i,SY1961: $i,SY1962: $i,SY1963: $i,SY1964: $i,SY1965: $i,SY1966: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SY1959 ) @ SY1960 ) @ SY1961 @ SY1962 @ SY1963 @ SY1964 @ SY1965 @ ( e1 @ SY1959 @ SY1960 ) @ SY1966 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SY1959 @ SY1960 ) @ SY1961 @ SY1962 @ SY1963 @ SY1964 @ SY1965 @ ( e1 @ ( s @ ( s @ SY1959 ) ) @ SY1960 ) @ SY1966 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(295,plain,
    ! [SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY1967: $i,SY1968: $i,SY1969: $i,SY1970: $i,SY1971: $i,SY1972: $i,SY1973: $i,SY1974: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SY1967 @ ( h @ SY1968 @ SY1969 ) @ SY1970 @ SY1971 @ SY1972 @ SY1973 @ ( e1 @ SY1968 @ ( s @ ( s @ SY1969 ) ) ) @ SY1974 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SY1967 @ ( h @ SY1968 @ ( s @ SY1969 ) ) @ SY1970 @ SY1971 @ SY1972 @ SY1973 @ ( e1 @ SY1968 @ SY1969 ) @ SY1974 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(296,plain,
    ! [SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY1975: $i,SY1976: $i,SY1977: $i,SY1978: $i,SY1979: $i,SY1980: $i,SY1981: $i,SY1982: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SY1975 @ ( h @ SY1976 @ ( s @ SY1977 ) ) @ SY1978 @ SY1979 @ SY1980 @ SY1981 @ ( e1 @ SY1976 @ SY1977 ) @ SY1982 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SY1975 @ ( h @ SY1976 @ SY1977 ) @ SY1978 @ SY1979 @ SY1980 @ SY1981 @ ( e1 @ SY1976 @ ( s @ ( s @ SY1977 ) ) ) @ SY1982 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(297,plain,
    ! [SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY1983: $i,SY1984: $i,SY1985: $i,SY1986: $i,SY1987: $i,SY1988: $i,SY1989: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SY1983 @ ( h @ SY1984 @ SY1985 ) @ SY1986 @ SY1987 @ SY1988 @ SY1989 @ ( e1 @ ( s @ SY1984 ) @ SY1985 ) @ ( e2 @ ( s @ SY1984 ) @ ( s @ SY1985 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SY1983 @ ( h @ ( s @ SY1984 ) @ SY1985 ) @ SY1986 @ SY1987 @ SY1988 @ SY1989 @ ( e1 @ SY1984 @ SY1985 ) @ ( e2 @ SY1984 @ ( s @ SY1985 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(298,plain,
    ! [SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY1990: $i,SY1991: $i,SY1992: $i,SY1993: $i,SY1994: $i,SY1995: $i,SY1996: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SY1990 @ ( h @ ( s @ SY1991 ) @ SY1992 ) @ SY1993 @ SY1994 @ SY1995 @ SY1996 @ ( e1 @ SY1991 @ SY1992 ) @ ( e2 @ SY1991 @ ( s @ SY1992 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SY1990 @ ( h @ SY1991 @ SY1992 ) @ SY1993 @ SY1994 @ SY1995 @ SY1996 @ ( e1 @ ( s @ SY1991 ) @ SY1992 ) @ ( e2 @ ( s @ SY1991 ) @ ( s @ SY1992 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(299,plain,
    ! [SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY1997: $i,SY1998: $i,SY1999: $i,SY2000: $i,SY2001: $i,SY2002: $i,SY2003: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SY1997 @ SY1998 @ SY1999 @ SY2000 @ SY2001 @ SY2002 @ SY2003 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SY1997 @ SY1998 @ SY1999 @ SY2000 @ SY2001 @ SY2002 @ SY2003 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(300,plain,
    ! [SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY2004: $i,SY2005: $i,SY2006: $i,SY2007: $i,SY2008: $i,SY2009: $i,SY2010: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SY2004 @ SY2005 @ SY2006 @ SY2007 @ SY2008 @ SY2009 @ SY2010 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SY2004 @ SY2005 @ SY2006 @ SY2007 @ SY2008 @ SY2009 @ SY2010 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(301,plain,
    ! [SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY2011: $i,SY2012: $i,SY2013: $i,SY2014: $i,SY2015: $i,SY2016: $i,SY2017: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SY2011 @ SY2012 @ SY2013 @ SY2014 @ SY2015 @ SY2016 @ SY2017 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SY2011 @ SY2012 @ SY2013 @ SY2014 @ SY2015 @ SY2016 @ SY2017 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(302,plain,
    ! [SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY2018: $i,SY2019: $i,SY2020: $i,SY2021: $i,SY2022: $i,SY2023: $i,SY2024: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SY2018 @ SY2019 @ SY2020 @ SY2021 @ SY2022 @ SY2023 @ SY2024 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SY2018 @ SY2019 @ SY2020 @ SY2021 @ SY2022 @ SY2023 @ SY2024 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(303,plain,
    ! [SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY2025: $i,SY2026: $i,SY2027: $i,SY2028: $i,SY2029: $i,SY2030: $i,SY2031: $i,SY2032: $i,SY2033: $i,SY2034: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SY2025 @ SY2026 @ SY2027 @ SY2028 @ SY2029 @ SY2030 @ ( e1 @ SY2031 @ SY2032 ) @ ( e2 @ SY2033 @ SY2034 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SY2025 @ SY2026 @ SY2027 @ SY2028 @ SY2029 @ SY2030 @ ( e1 @ SY2033 @ SY2034 ) @ ( e2 @ SY2031 @ SY2032 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(304,plain,
    ! [SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY2035: $i,SY2036: $i,SY2037: $i,SY2038: $i,SY2039: $i,SY2040: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SY2035 @ SY2036 @ SY2037 @ SY2038 @ SY2039 @ SY2040 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(305,plain,
    ! [SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY2041: $i,SY2042: $i,SY2043: $i,SY2044: $i,SY2045: $i,SY2046: $i,SY2047: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SY2041 @ ( s1 @ SY2042 @ SY2043 ) @ SY2044 @ SY2045 @ SY2046 @ ( e1 @ SY2042 @ ( s @ SY2043 ) ) @ SY2047 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SY2041 @ ( s1 @ SY2042 @ ( s @ SY2043 ) ) @ SY2044 @ SY2045 @ SY2046 @ ( e1 @ SY2042 @ SY2043 ) @ SY2047 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(306,plain,
    ! [SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY2048: $i,SY2049: $i,SY2050: $i,SY2051: $i,SY2052: $i,SY2053: $i,SY2054: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SY2048 @ ( s1 @ SY2049 @ ( s @ SY2050 ) ) @ SY2051 @ SY2052 @ SY2053 @ ( e1 @ SY2049 @ SY2050 ) @ SY2054 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SY2048 @ ( s1 @ SY2049 @ SY2050 ) @ SY2051 @ SY2052 @ SY2053 @ ( e1 @ SY2049 @ ( s @ SY2050 ) ) @ SY2054 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(307,plain,
    ! [SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY2055: $i,SY2056: $i,SY2057: $i,SY2058: $i,SY2059: $i,SY2060: $i,SY2061: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SY2055 @ ( s1 @ SY2056 @ SY2057 ) @ SY2058 @ SY2059 @ SY2060 @ ( e1 @ ( s @ SY2056 ) @ SY2057 ) @ SY2061 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SY2055 @ ( s1 @ ( s @ SY2056 ) @ SY2057 ) @ SY2058 @ SY2059 @ SY2060 @ ( e1 @ SY2056 @ SY2057 ) @ SY2061 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(308,plain,
    ! [SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY2062: $i,SY2063: $i,SY2064: $i,SY2065: $i,SY2066: $i,SY2067: $i,SY2068: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SY2062 @ ( s1 @ ( s @ SY2063 ) @ SY2064 ) @ SY2065 @ SY2066 @ SY2067 @ ( e1 @ SY2063 @ SY2064 ) @ SY2068 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SY2062 @ ( s1 @ SY2063 @ SY2064 ) @ SY2065 @ SY2066 @ SY2067 @ ( e1 @ ( s @ SY2063 ) @ SY2064 ) @ SY2068 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(309,plain,
    ! [SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY2069: $i,SY2070: $i,SY2071: $i,SY2072: $i,SY2073: $i,SY2074: $i,SY2075: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SY2069 @ SY2070 @ ( s2 @ SY2071 @ SY2072 ) @ SY2073 @ SY2074 @ ( e1 @ SY2071 @ ( s @ SY2072 ) ) @ SY2075 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SY2069 @ SY2070 @ ( s2 @ SY2071 @ ( s @ SY2072 ) ) @ SY2073 @ SY2074 @ ( e1 @ SY2071 @ SY2072 ) @ SY2075 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(310,plain,
    ! [SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY2076: $i,SY2077: $i,SY2078: $i,SY2079: $i,SY2080: $i,SY2081: $i,SY2082: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SY2076 @ SY2077 @ ( s2 @ SY2078 @ ( s @ SY2079 ) ) @ SY2080 @ SY2081 @ ( e1 @ SY2078 @ SY2079 ) @ SY2082 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SY2076 @ SY2077 @ ( s2 @ SY2078 @ SY2079 ) @ SY2080 @ SY2081 @ ( e1 @ SY2078 @ ( s @ SY2079 ) ) @ SY2082 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(311,plain,
    ! [SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY2083: $i,SY2084: $i,SY2085: $i,SY2086: $i,SY2087: $i,SY2088: $i,SY2089: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SY2083 @ SY2084 @ ( s2 @ SY2085 @ SY2086 ) @ SY2087 @ SY2088 @ ( e1 @ ( s @ SY2085 ) @ SY2086 ) @ SY2089 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SY2083 @ SY2084 @ ( s2 @ ( s @ SY2085 ) @ SY2086 ) @ SY2087 @ SY2088 @ ( e1 @ SY2085 @ SY2086 ) @ SY2089 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(312,plain,
    ! [SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY2090: $i,SY2091: $i,SY2092: $i,SY2093: $i,SY2094: $i,SY2095: $i,SY2096: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SY2090 @ SY2091 @ ( s2 @ ( s @ SY2092 ) @ SY2093 ) @ SY2094 @ SY2095 @ ( e1 @ SY2092 @ SY2093 ) @ SY2096 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SY2090 @ SY2091 @ ( s2 @ SY2092 @ SY2093 ) @ SY2094 @ SY2095 @ ( e1 @ ( s @ SY2092 ) @ SY2093 ) @ SY2096 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(313,plain,
    ! [SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY2097: $i,SY2098: $i,SY2099: $i,SY2100: $i,SY2101: $i,SY2102: $i,SY2103: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SY2097 @ SY2098 @ SY2099 @ ( s3 @ SY2100 @ SY2101 ) @ SY2102 @ ( e1 @ SY2100 @ ( s @ SY2101 ) ) @ SY2103 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SY2097 @ SY2098 @ SY2099 @ ( s3 @ SY2100 @ ( s @ SY2101 ) ) @ SY2102 @ ( e1 @ SY2100 @ SY2101 ) @ SY2103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(314,plain,
    ! [SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY2104: $i,SY2105: $i,SY2106: $i,SY2107: $i,SY2108: $i,SY2109: $i,SY2110: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SY2104 @ SY2105 @ SY2106 @ ( s3 @ SY2107 @ ( s @ SY2108 ) ) @ SY2109 @ ( e1 @ SY2107 @ SY2108 ) @ SY2110 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SY2104 @ SY2105 @ SY2106 @ ( s3 @ SY2107 @ SY2108 ) @ SY2109 @ ( e1 @ SY2107 @ ( s @ SY2108 ) ) @ SY2110 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(315,plain,
    ! [SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY2111: $i,SY2112: $i,SY2113: $i,SY2114: $i,SY2115: $i,SY2116: $i,SY2117: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SY2111 @ SY2112 @ SY2113 @ ( s3 @ SY2114 @ SY2115 ) @ SY2116 @ ( e1 @ ( s @ SY2114 ) @ SY2115 ) @ SY2117 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SY2111 @ SY2112 @ SY2113 @ ( s3 @ ( s @ SY2114 ) @ SY2115 ) @ SY2116 @ ( e1 @ SY2114 @ SY2115 ) @ SY2117 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(316,plain,
    ! [SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY2118: $i,SY2119: $i,SY2120: $i,SY2121: $i,SY2122: $i,SY2123: $i,SY2124: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SY2118 @ SY2119 @ SY2120 @ ( s3 @ ( s @ SY2121 ) @ SY2122 ) @ SY2123 @ ( e1 @ SY2121 @ SY2122 ) @ SY2124 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SY2118 @ SY2119 @ SY2120 @ ( s3 @ SY2121 @ SY2122 ) @ SY2123 @ ( e1 @ ( s @ SY2121 ) @ SY2122 ) @ SY2124 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(317,plain,
    ! [SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY2125: $i,SY2126: $i,SY2127: $i,SY2128: $i,SY2129: $i,SY2130: $i,SY2131: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SY2125 @ SY2126 @ SY2127 @ SY2128 @ ( s4 @ SY2129 @ SY2130 ) @ ( e1 @ SY2129 @ ( s @ SY2130 ) ) @ SY2131 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SY2125 @ SY2126 @ SY2127 @ SY2128 @ ( s4 @ SY2129 @ ( s @ SY2130 ) ) @ ( e1 @ SY2129 @ SY2130 ) @ SY2131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(318,plain,
    ! [SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY2132: $i,SY2133: $i,SY2134: $i,SY2135: $i,SY2136: $i,SY2137: $i,SY2138: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SY2132 @ SY2133 @ SY2134 @ SY2135 @ ( s4 @ SY2136 @ ( s @ SY2137 ) ) @ ( e1 @ SY2136 @ SY2137 ) @ SY2138 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SY2132 @ SY2133 @ SY2134 @ SY2135 @ ( s4 @ SY2136 @ SY2137 ) @ ( e1 @ SY2136 @ ( s @ SY2137 ) ) @ SY2138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(319,plain,
    ! [SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY2139: $i,SY2140: $i,SY2141: $i,SY2142: $i,SY2143: $i,SY2144: $i,SY2145: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SY2139 @ SY2140 @ SY2141 @ SY2142 @ ( s4 @ SY2143 @ SY2144 ) @ ( e1 @ ( s @ SY2143 ) @ SY2144 ) @ SY2145 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SY2139 @ SY2140 @ SY2141 @ SY2142 @ ( s4 @ ( s @ SY2143 ) @ SY2144 ) @ ( e1 @ SY2143 @ SY2144 ) @ SY2145 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(320,plain,
    ! [SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY2146: $i,SY2147: $i,SY2148: $i,SY2149: $i,SY2150: $i,SY2151: $i,SY2152: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SY2146 @ SY2147 @ SY2148 @ SY2149 @ ( s4 @ ( s @ SY2150 ) @ SY2151 ) @ ( e1 @ SY2150 @ SY2151 ) @ SY2152 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SY2146 @ SY2147 @ SY2148 @ SY2149 @ ( s4 @ SY2150 @ SY2151 ) @ ( e1 @ ( s @ SY2150 ) @ SY2151 ) @ SY2152 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(321,plain,
    ! [SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY2153: $i,SY2154: $i,SY2155: $i,SY2156: $i,SY2157: $i,SY2158: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SY2153 @ SY2154 @ SY2155 @ SY2156 @ SY2157 @ SY2158 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SY2153 @ SY2154 @ SY2155 @ SY2156 @ SY2157 @ SY2158 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(322,plain,
    ! [SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY2159: $i,SY2160: $i,SY2161: $i,SY2162: $i,SY2163: $i,SY2164: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SY2159 @ SY2160 @ SY2161 @ SY2162 @ SY2163 @ SY2164 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SY2159 @ SY2160 @ SY2161 @ SY2162 @ SY2163 @ SY2164 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(323,plain,
    ! [SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY2165: $i,SY2166: $i,SY2167: $i,SY2168: $i,SY2169: $i,SY2170: $i,SY2171: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2169 @ SY2170 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY2171 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2169 @ SY2170 @ ( e1 @ SV62 @ SV104 ) @ SY2171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(324,plain,
    ! [SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY2172: $i,SY2173: $i,SY2174: $i,SY2175: $i,SY2176: $i,SY2177: $i,SY2178: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SY2172 @ SY2173 @ SY2174 @ SY2175 @ SY2176 @ SY2177 @ ( e1 @ SV63 @ SV105 ) @ SY2178 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SY2172 @ SY2173 @ SY2174 @ SY2175 @ SY2176 @ SY2177 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY2178 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(325,plain,
    ! [SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY2179: $i,SY2180: $i,SY2181: $i,SY2182: $i,SY2183: $i,SY2184: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SY2179 @ SY2180 @ SY2181 @ SY2182 @ SY2183 @ SY2184 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SY2179 @ SY2180 @ SY2181 @ SY2182 @ SY2183 @ SY2184 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(326,plain,
    ! [SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY2185: $i,SY2186: $i,SY2187: $i,SY2188: $i,SY2189: $i,SY2190: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SY2185 @ SY2186 @ SY2187 @ SY2188 @ SY2189 @ SY2190 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SY2185 @ SY2186 @ SY2187 @ SY2188 @ SY2189 @ SY2190 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(327,plain,
    ! [SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY2191: $i,SY2192: $i,SY2193: $i,SY2194: $i,SY2195: $i,SY2196: $i,SY2197: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SY2191 @ SY2192 @ SY2193 @ SY2194 @ SY2195 @ SY2196 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY2197 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SY2191 @ SY2192 @ SY2193 @ SY2194 @ SY2195 @ SY2196 @ ( e1 @ SV108 @ SV150 ) @ SY2197 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(328,plain,
    ! [SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY2198: $i,SY2199: $i,SY2200: $i,SY2201: $i,SY2202: $i,SY2203: $i,SY2204: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SY2198 @ SY2199 @ SY2200 @ SY2201 @ SY2202 @ SY2203 @ ( e1 @ SV109 @ SV151 ) @ SY2204 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SY2198 @ SY2199 @ SY2200 @ SY2201 @ SY2202 @ SY2203 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY2204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(329,plain,
    ! [SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY2205: $i,SY2206: $i,SY2207: $i,SY2208: $i,SY2209: $i,SY2210: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SY2205 @ SY2206 @ SY2207 @ SY2208 @ SY2209 @ SY2210 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SY2205 @ SY2206 @ SY2207 @ SY2208 @ SY2209 @ SY2210 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(330,plain,
    ! [SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY2211: $i,SY2212: $i,SY2213: $i,SY2214: $i,SY2215: $i,SY2216: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SY2211 @ SY2212 @ SY2213 @ SY2214 @ SY2215 @ SY2216 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SY2211 @ SY2212 @ SY2213 @ SY2214 @ SY2215 @ SY2216 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(331,plain,
    ! [SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY2217: $i,SY2218: $i,SY2219: $i,SY2220: $i,SY2221: $i,SY2222: $i,SY2223: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SY2217 @ SY2218 @ SY2219 @ SY2220 @ SY2221 @ SY2222 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY2223 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SY2217 @ SY2218 @ SY2219 @ SY2220 @ SY2221 @ SY2222 @ ( e1 @ SV154 @ SV196 ) @ SY2223 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(332,plain,
    ! [SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY2224: $i,SY2225: $i,SY2226: $i,SY2227: $i,SY2228: $i,SY2229: $i,SY2230: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SY2224 @ SY2225 @ SY2226 @ SY2227 @ SY2228 @ SY2229 @ ( e1 @ SV155 @ SV197 ) @ SY2230 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SY2224 @ SY2225 @ SY2226 @ SY2227 @ SY2228 @ SY2229 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY2230 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(333,plain,
    ! [SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY2231: $i,SY2232: $i,SY2233: $i,SY2234: $i,SY2235: $i,SY2236: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SY2231 ) @ SY2232 @ SY2233 @ SY2234 @ SY2235 @ SY2236 @ ( e1 @ SV198 @ ( s @ SY2231 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SY2231 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SY2231 ) ) @ SY2232 @ SY2233 @ SY2234 @ SY2235 @ SY2236 @ ( e1 @ SV198 @ SY2231 ) @ ( e2 @ ( s @ SV198 ) @ SY2231 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(334,plain,
    ! [SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY2237: $i,SY2238: $i,SY2239: $i,SY2240: $i,SY2241: $i,SY2242: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SY2237 ) ) @ SY2238 @ SY2239 @ SY2240 @ SY2241 @ SY2242 @ ( e1 @ SV199 @ SY2237 ) @ ( e2 @ ( s @ SV199 ) @ SY2237 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SY2237 ) @ SY2238 @ SY2239 @ SY2240 @ SY2241 @ SY2242 @ ( e1 @ SV199 @ ( s @ SY2237 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SY2237 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(335,plain,
    ! [SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY2243: $i,SY2244: $i,SY2245: $i,SY2246: $i,SY2247: $i,SY2248: $i,SY2249: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SY2243 ) @ SY2244 @ SY2245 @ SY2246 @ SY2247 @ SY2248 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SY2243 ) @ SY2249 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SY2243 ) @ SY2244 @ SY2245 @ SY2246 @ SY2247 @ SY2248 @ ( e1 @ SV200 @ SY2243 ) @ SY2249 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(336,plain,
    ! [SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY2250: $i,SY2251: $i,SY2252: $i,SY2253: $i,SY2254: $i,SY2255: $i,SY2256: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SY2250 ) @ SY2251 @ SY2252 @ SY2253 @ SY2254 @ SY2255 @ ( e1 @ SV201 @ SY2250 ) @ SY2256 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SY2250 ) @ SY2251 @ SY2252 @ SY2253 @ SY2254 @ SY2255 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SY2250 ) @ SY2256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(337,plain,
    ! [SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY2257: $i,SY2258: $i,SY2259: $i,SY2260: $i,SY2261: $i,SY2262: $i,SY2263: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SY2257 @ SY2258 ) @ SY2259 @ SY2260 @ SY2261 @ SY2262 @ ( e1 @ SY2257 @ ( s @ ( s @ SY2258 ) ) ) @ SY2263 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SY2257 @ ( s @ SY2258 ) ) @ SY2259 @ SY2260 @ SY2261 @ SY2262 @ ( e1 @ SY2257 @ SY2258 ) @ SY2263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(338,plain,
    ! [SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY2264: $i,SY2265: $i,SY2266: $i,SY2267: $i,SY2268: $i,SY2269: $i,SY2270: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SY2264 @ ( s @ SY2265 ) ) @ SY2266 @ SY2267 @ SY2268 @ SY2269 @ ( e1 @ SY2264 @ SY2265 ) @ SY2270 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SY2264 @ SY2265 ) @ SY2266 @ SY2267 @ SY2268 @ SY2269 @ ( e1 @ SY2264 @ ( s @ ( s @ SY2265 ) ) ) @ SY2270 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(339,plain,
    ! [SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY2271: $i,SY2272: $i,SY2273: $i,SY2274: $i,SY2275: $i,SY2276: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SY2271 @ SY2272 ) @ SY2273 @ SY2274 @ SY2275 @ SY2276 @ ( e1 @ ( s @ SY2271 ) @ SY2272 ) @ ( e2 @ ( s @ SY2271 ) @ ( s @ SY2272 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SY2271 ) @ SY2272 ) @ SY2273 @ SY2274 @ SY2275 @ SY2276 @ ( e1 @ SY2271 @ SY2272 ) @ ( e2 @ SY2271 @ ( s @ SY2272 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(340,plain,
    ! [SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY2277: $i,SY2278: $i,SY2279: $i,SY2280: $i,SY2281: $i,SY2282: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SY2277 ) @ SY2278 ) @ SY2279 @ SY2280 @ SY2281 @ SY2282 @ ( e1 @ SY2277 @ SY2278 ) @ ( e2 @ SY2277 @ ( s @ SY2278 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SY2277 @ SY2278 ) @ SY2279 @ SY2280 @ SY2281 @ SY2282 @ ( e1 @ ( s @ SY2277 ) @ SY2278 ) @ ( e2 @ ( s @ SY2277 ) @ ( s @ SY2278 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(341,plain,
    ! [SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY2283: $i,SY2284: $i,SY2285: $i,SY2286: $i,SY2287: $i,SY2288: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SY2283 @ SY2284 @ SY2285 @ SY2286 @ SY2287 @ SY2288 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SY2283 @ SY2284 @ SY2285 @ SY2286 @ SY2287 @ SY2288 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(342,plain,
    ! [SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY2289: $i,SY2290: $i,SY2291: $i,SY2292: $i,SY2293: $i,SY2294: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SY2289 @ SY2290 @ SY2291 @ SY2292 @ SY2293 @ SY2294 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SY2289 @ SY2290 @ SY2291 @ SY2292 @ SY2293 @ SY2294 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(343,plain,
    ! [SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY2295: $i,SY2296: $i,SY2297: $i,SY2298: $i,SY2299: $i,SY2300: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SY2295 @ SY2296 @ SY2297 @ SY2298 @ SY2299 @ SY2300 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SY2295 @ SY2296 @ SY2297 @ SY2298 @ SY2299 @ SY2300 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(344,plain,
    ! [SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY2301: $i,SY2302: $i,SY2303: $i,SY2304: $i,SY2305: $i,SY2306: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SY2301 @ SY2302 @ SY2303 @ SY2304 @ SY2305 @ SY2306 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SY2301 @ SY2302 @ SY2303 @ SY2304 @ SY2305 @ SY2306 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(345,plain,
    ! [SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY2307: $i,SY2308: $i,SY2309: $i,SY2310: $i,SY2311: $i,SY2312: $i,SY2313: $i,SY2314: $i,SY2315: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SY2307 @ SY2308 @ SY2309 @ SY2310 @ SY2311 @ ( e1 @ SY2312 @ SY2313 ) @ ( e2 @ SY2314 @ SY2315 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SY2307 @ SY2308 @ SY2309 @ SY2310 @ SY2311 @ ( e1 @ SY2314 @ SY2315 ) @ ( e2 @ SY2312 @ SY2313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(346,plain,
    ! [SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY2316: $i,SY2317: $i,SY2318: $i,SY2319: $i,SY2320: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SY2316 @ SY2317 @ SY2318 @ SY2319 @ SY2320 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(347,plain,
    ! [SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY2321: $i,SY2322: $i,SY2323: $i,SY2324: $i,SY2325: $i,SY2326: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SY2321 @ SY2322 ) @ SY2323 @ SY2324 @ SY2325 @ ( e1 @ SY2321 @ ( s @ SY2322 ) ) @ SY2326 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SY2321 @ ( s @ SY2322 ) ) @ SY2323 @ SY2324 @ SY2325 @ ( e1 @ SY2321 @ SY2322 ) @ SY2326 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(348,plain,
    ! [SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY2327: $i,SY2328: $i,SY2329: $i,SY2330: $i,SY2331: $i,SY2332: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SY2327 @ ( s @ SY2328 ) ) @ SY2329 @ SY2330 @ SY2331 @ ( e1 @ SY2327 @ SY2328 ) @ SY2332 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SY2327 @ SY2328 ) @ SY2329 @ SY2330 @ SY2331 @ ( e1 @ SY2327 @ ( s @ SY2328 ) ) @ SY2332 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(349,plain,
    ! [SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY2333: $i,SY2334: $i,SY2335: $i,SY2336: $i,SY2337: $i,SY2338: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SY2333 @ SY2334 ) @ SY2335 @ SY2336 @ SY2337 @ ( e1 @ ( s @ SY2333 ) @ SY2334 ) @ SY2338 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SY2333 ) @ SY2334 ) @ SY2335 @ SY2336 @ SY2337 @ ( e1 @ SY2333 @ SY2334 ) @ SY2338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(350,plain,
    ! [SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY2339: $i,SY2340: $i,SY2341: $i,SY2342: $i,SY2343: $i,SY2344: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SY2339 ) @ SY2340 ) @ SY2341 @ SY2342 @ SY2343 @ ( e1 @ SY2339 @ SY2340 ) @ SY2344 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SY2339 @ SY2340 ) @ SY2341 @ SY2342 @ SY2343 @ ( e1 @ ( s @ SY2339 ) @ SY2340 ) @ SY2344 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(351,plain,
    ! [SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY2345: $i,SY2346: $i,SY2347: $i,SY2348: $i,SY2349: $i,SY2350: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SY2345 @ ( s2 @ SY2346 @ SY2347 ) @ SY2348 @ SY2349 @ ( e1 @ SY2346 @ ( s @ SY2347 ) ) @ SY2350 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SY2345 @ ( s2 @ SY2346 @ ( s @ SY2347 ) ) @ SY2348 @ SY2349 @ ( e1 @ SY2346 @ SY2347 ) @ SY2350 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(352,plain,
    ! [SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY2351: $i,SY2352: $i,SY2353: $i,SY2354: $i,SY2355: $i,SY2356: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SY2351 @ ( s2 @ SY2352 @ ( s @ SY2353 ) ) @ SY2354 @ SY2355 @ ( e1 @ SY2352 @ SY2353 ) @ SY2356 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SY2351 @ ( s2 @ SY2352 @ SY2353 ) @ SY2354 @ SY2355 @ ( e1 @ SY2352 @ ( s @ SY2353 ) ) @ SY2356 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(353,plain,
    ! [SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY2357: $i,SY2358: $i,SY2359: $i,SY2360: $i,SY2361: $i,SY2362: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SY2357 @ ( s2 @ SY2358 @ SY2359 ) @ SY2360 @ SY2361 @ ( e1 @ ( s @ SY2358 ) @ SY2359 ) @ SY2362 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SY2357 @ ( s2 @ ( s @ SY2358 ) @ SY2359 ) @ SY2360 @ SY2361 @ ( e1 @ SY2358 @ SY2359 ) @ SY2362 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(354,plain,
    ! [SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY2363: $i,SY2364: $i,SY2365: $i,SY2366: $i,SY2367: $i,SY2368: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SY2363 @ ( s2 @ ( s @ SY2364 ) @ SY2365 ) @ SY2366 @ SY2367 @ ( e1 @ SY2364 @ SY2365 ) @ SY2368 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SY2363 @ ( s2 @ SY2364 @ SY2365 ) @ SY2366 @ SY2367 @ ( e1 @ ( s @ SY2364 ) @ SY2365 ) @ SY2368 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(355,plain,
    ! [SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY2369: $i,SY2370: $i,SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SY2369 @ SY2370 @ ( s3 @ SY2371 @ SY2372 ) @ SY2373 @ ( e1 @ SY2371 @ ( s @ SY2372 ) ) @ SY2374 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SY2369 @ SY2370 @ ( s3 @ SY2371 @ ( s @ SY2372 ) ) @ SY2373 @ ( e1 @ SY2371 @ SY2372 ) @ SY2374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(356,plain,
    ! [SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY2375: $i,SY2376: $i,SY2377: $i,SY2378: $i,SY2379: $i,SY2380: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SY2375 @ SY2376 @ ( s3 @ SY2377 @ ( s @ SY2378 ) ) @ SY2379 @ ( e1 @ SY2377 @ SY2378 ) @ SY2380 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SY2375 @ SY2376 @ ( s3 @ SY2377 @ SY2378 ) @ SY2379 @ ( e1 @ SY2377 @ ( s @ SY2378 ) ) @ SY2380 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(357,plain,
    ! [SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY2381: $i,SY2382: $i,SY2383: $i,SY2384: $i,SY2385: $i,SY2386: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SY2381 @ SY2382 @ ( s3 @ SY2383 @ SY2384 ) @ SY2385 @ ( e1 @ ( s @ SY2383 ) @ SY2384 ) @ SY2386 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SY2381 @ SY2382 @ ( s3 @ ( s @ SY2383 ) @ SY2384 ) @ SY2385 @ ( e1 @ SY2383 @ SY2384 ) @ SY2386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(358,plain,
    ! [SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY2387: $i,SY2388: $i,SY2389: $i,SY2390: $i,SY2391: $i,SY2392: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SY2387 @ SY2388 @ ( s3 @ ( s @ SY2389 ) @ SY2390 ) @ SY2391 @ ( e1 @ SY2389 @ SY2390 ) @ SY2392 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SY2387 @ SY2388 @ ( s3 @ SY2389 @ SY2390 ) @ SY2391 @ ( e1 @ ( s @ SY2389 ) @ SY2390 ) @ SY2392 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(359,plain,
    ! [SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY2393: $i,SY2394: $i,SY2395: $i,SY2396: $i,SY2397: $i,SY2398: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SY2393 @ SY2394 @ SY2395 @ ( s4 @ SY2396 @ SY2397 ) @ ( e1 @ SY2396 @ ( s @ SY2397 ) ) @ SY2398 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SY2393 @ SY2394 @ SY2395 @ ( s4 @ SY2396 @ ( s @ SY2397 ) ) @ ( e1 @ SY2396 @ SY2397 ) @ SY2398 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(360,plain,
    ! [SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY2399: $i,SY2400: $i,SY2401: $i,SY2402: $i,SY2403: $i,SY2404: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SY2399 @ SY2400 @ SY2401 @ ( s4 @ SY2402 @ ( s @ SY2403 ) ) @ ( e1 @ SY2402 @ SY2403 ) @ SY2404 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SY2399 @ SY2400 @ SY2401 @ ( s4 @ SY2402 @ SY2403 ) @ ( e1 @ SY2402 @ ( s @ SY2403 ) ) @ SY2404 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(361,plain,
    ! [SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY2405: $i,SY2406: $i,SY2407: $i,SY2408: $i,SY2409: $i,SY2410: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SY2405 @ SY2406 @ SY2407 @ ( s4 @ SY2408 @ SY2409 ) @ ( e1 @ ( s @ SY2408 ) @ SY2409 ) @ SY2410 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SY2405 @ SY2406 @ SY2407 @ ( s4 @ ( s @ SY2408 ) @ SY2409 ) @ ( e1 @ SY2408 @ SY2409 ) @ SY2410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(362,plain,
    ! [SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY2411: $i,SY2412: $i,SY2413: $i,SY2414: $i,SY2415: $i,SY2416: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SY2411 @ SY2412 @ SY2413 @ ( s4 @ ( s @ SY2414 ) @ SY2415 ) @ ( e1 @ SY2414 @ SY2415 ) @ SY2416 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SY2411 @ SY2412 @ SY2413 @ ( s4 @ SY2414 @ SY2415 ) @ ( e1 @ ( s @ SY2414 ) @ SY2415 ) @ SY2416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(363,plain,
    ! [SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY2417: $i,SY2418: $i,SY2419: $i,SY2420: $i,SY2421: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SY2417 @ SY2418 @ SY2419 @ SY2420 @ SY2421 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SY2417 @ SY2418 @ SY2419 @ SY2420 @ SY2421 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(364,plain,
    ! [SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY2422: $i,SY2423: $i,SY2424: $i,SY2425: $i,SY2426: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SY2422 @ SY2423 @ SY2424 @ SY2425 @ SY2426 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SY2422 @ SY2423 @ SY2424 @ SY2425 @ SY2426 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(365,plain,
    ! [SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY2427: $i,SY2428: $i,SY2429: $i,SY2430: $i,SY2431: $i,SY2432: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SY2427 @ SY2428 @ SY2429 @ SY2430 @ SY2431 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY2432 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SY2427 @ SY2428 @ SY2429 @ SY2430 @ SY2431 @ ( e1 @ SV62 @ SV104 ) @ SY2432 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(366,plain,
    ! [SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY2433: $i,SY2434: $i,SY2435: $i,SY2436: $i,SY2437: $i,SY2438: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SY2433 @ SY2434 @ SY2435 @ SY2436 @ SY2437 @ ( e1 @ SV63 @ SV105 ) @ SY2438 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SY2433 @ SY2434 @ SY2435 @ SY2436 @ SY2437 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY2438 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(367,plain,
    ! [SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY2439: $i,SY2440: $i,SY2441: $i,SY2442: $i,SY2443: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SY2439 @ SY2440 @ SY2441 @ SY2442 @ SY2443 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SY2439 @ SY2440 @ SY2441 @ SY2442 @ SY2443 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(368,plain,
    ! [SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY2444: $i,SY2445: $i,SY2446: $i,SY2447: $i,SY2448: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SY2444 @ SY2445 @ SY2446 @ SY2447 @ SY2448 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SY2444 @ SY2445 @ SY2446 @ SY2447 @ SY2448 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(369,plain,
    ! [SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY2449: $i,SY2450: $i,SY2451: $i,SY2452: $i,SY2453: $i,SY2454: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SY2449 @ SY2450 @ SY2451 @ SY2452 @ SY2453 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY2454 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SY2449 @ SY2450 @ SY2451 @ SY2452 @ SY2453 @ ( e1 @ SV108 @ SV150 ) @ SY2454 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(370,plain,
    ! [SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY2455: $i,SY2456: $i,SY2457: $i,SY2458: $i,SY2459: $i,SY2460: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SY2455 @ SY2456 @ SY2457 @ SY2458 @ SY2459 @ ( e1 @ SV109 @ SV151 ) @ SY2460 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SY2455 @ SY2456 @ SY2457 @ SY2458 @ SY2459 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY2460 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(371,plain,
    ! [SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY2461: $i,SY2462: $i,SY2463: $i,SY2464: $i,SY2465: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SY2461 @ SY2462 @ SY2463 @ SY2464 @ SY2465 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SY2461 @ SY2462 @ SY2463 @ SY2464 @ SY2465 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(372,plain,
    ! [SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY2466: $i,SY2467: $i,SY2468: $i,SY2469: $i,SY2470: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SY2466 @ SY2467 @ SY2468 @ SY2469 @ SY2470 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SY2466 @ SY2467 @ SY2468 @ SY2469 @ SY2470 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(373,plain,
    ! [SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY2471: $i,SY2472: $i,SY2473: $i,SY2474: $i,SY2475: $i,SY2476: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SY2471 @ SY2472 @ SY2473 @ SY2474 @ SY2475 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY2476 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SY2471 @ SY2472 @ SY2473 @ SY2474 @ SY2475 @ ( e1 @ SV154 @ SV196 ) @ SY2476 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(374,plain,
    ! [SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY2477: $i,SY2478: $i,SY2479: $i,SY2480: $i,SY2481: $i,SY2482: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SY2477 @ SY2478 @ SY2479 @ SY2480 @ SY2481 @ ( e1 @ SV155 @ SV197 ) @ SY2482 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SY2477 @ SY2478 @ SY2479 @ SY2480 @ SY2481 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY2482 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(375,plain,
    ! [SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY2483: $i,SY2484: $i,SY2485: $i,SY2486: $i,SY2487: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SY2483 @ SY2484 @ SY2485 @ SY2486 @ SY2487 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SY2483 @ SY2484 @ SY2485 @ SY2486 @ SY2487 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(376,plain,
    ! [SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY2488: $i,SY2489: $i,SY2490: $i,SY2491: $i,SY2492: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SY2488 @ SY2489 @ SY2490 @ SY2491 @ SY2492 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SY2488 @ SY2489 @ SY2490 @ SY2491 @ SY2492 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(377,plain,
    ! [SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY2493: $i,SY2494: $i,SY2495: $i,SY2496: $i,SY2497: $i,SY2498: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SY2493 @ SY2494 @ SY2495 @ SY2496 @ SY2497 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SY2498 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SY2493 @ SY2494 @ SY2495 @ SY2496 @ SY2497 @ ( e1 @ SV200 @ SV242 ) @ SY2498 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(378,plain,
    ! [SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY2499: $i,SY2500: $i,SY2501: $i,SY2502: $i,SY2503: $i,SY2504: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SY2499 @ SY2500 @ SY2501 @ SY2502 @ SY2503 @ ( e1 @ SV201 @ SV243 ) @ SY2504 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SY2499 @ SY2500 @ SY2501 @ SY2502 @ SY2503 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SY2504 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(379,plain,
    ! [SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY2505: $i,SY2506: $i,SY2507: $i,SY2508: $i,SY2509: $i,SY2510: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SY2505 ) @ SY2506 @ SY2507 @ SY2508 @ SY2509 @ ( e1 @ SV244 @ ( s @ ( s @ SY2505 ) ) ) @ SY2510 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SY2505 ) ) @ SY2506 @ SY2507 @ SY2508 @ SY2509 @ ( e1 @ SV244 @ SY2505 ) @ SY2510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(380,plain,
    ! [SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY2511: $i,SY2512: $i,SY2513: $i,SY2514: $i,SY2515: $i,SY2516: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SY2511 ) ) @ SY2512 @ SY2513 @ SY2514 @ SY2515 @ ( e1 @ SV245 @ SY2511 ) @ SY2516 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SY2511 ) @ SY2512 @ SY2513 @ SY2514 @ SY2515 @ ( e1 @ SV245 @ ( s @ ( s @ SY2511 ) ) ) @ SY2516 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(381,plain,
    ! [SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY2517: $i,SY2518: $i,SY2519: $i,SY2520: $i,SY2521: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SY2517 ) @ SY2518 @ SY2519 @ SY2520 @ SY2521 @ ( e1 @ ( s @ SV246 ) @ SY2517 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SY2517 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SY2517 ) @ SY2518 @ SY2519 @ SY2520 @ SY2521 @ ( e1 @ SV246 @ SY2517 ) @ ( e2 @ SV246 @ ( s @ SY2517 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(382,plain,
    ! [SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY2522: $i,SY2523: $i,SY2524: $i,SY2525: $i,SY2526: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SY2522 ) @ SY2523 @ SY2524 @ SY2525 @ SY2526 @ ( e1 @ SV247 @ SY2522 ) @ ( e2 @ SV247 @ ( s @ SY2522 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SY2522 ) @ SY2523 @ SY2524 @ SY2525 @ SY2526 @ ( e1 @ ( s @ SV247 ) @ SY2522 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SY2522 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(383,plain,
    ! [SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY2527: $i,SY2528: $i,SY2529: $i,SY2530: $i,SY2531: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SY2527 @ SY2528 @ SY2529 @ SY2530 @ SY2531 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SY2527 @ SY2528 @ SY2529 @ SY2530 @ SY2531 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(384,plain,
    ! [SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY2532: $i,SY2533: $i,SY2534: $i,SY2535: $i,SY2536: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SY2532 @ SY2533 @ SY2534 @ SY2535 @ SY2536 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SY2532 @ SY2533 @ SY2534 @ SY2535 @ SY2536 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(385,plain,
    ! [SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY2537: $i,SY2538: $i,SY2539: $i,SY2540: $i,SY2541: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SY2537 @ SY2538 @ SY2539 @ SY2540 @ SY2541 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SY2537 @ SY2538 @ SY2539 @ SY2540 @ SY2541 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(386,plain,
    ! [SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY2542: $i,SY2543: $i,SY2544: $i,SY2545: $i,SY2546: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SY2542 @ SY2543 @ SY2544 @ SY2545 @ SY2546 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SY2542 @ SY2543 @ SY2544 @ SY2545 @ SY2546 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(387,plain,
    ! [SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY2547: $i,SY2548: $i,SY2549: $i,SY2550: $i,SY2551: $i,SY2552: $i,SY2553: $i,SY2554: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SY2547 @ SY2548 @ SY2549 @ SY2550 @ ( e1 @ SY2551 @ SY2552 ) @ ( e2 @ SY2553 @ SY2554 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SY2547 @ SY2548 @ SY2549 @ SY2550 @ ( e1 @ SY2553 @ SY2554 ) @ ( e2 @ SY2551 @ SY2552 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(388,plain,
    ! [SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY2555: $i,SY2556: $i,SY2557: $i,SY2558: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SV253 @ SY2555 @ SY2556 @ SY2557 @ SY2558 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(389,plain,
    ! [SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY2559: $i,SY2560: $i,SY2561: $i,SY2562: $i,SY2563: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SY2559 ) @ SY2560 @ SY2561 @ SY2562 @ ( e1 @ SV254 @ ( s @ SY2559 ) ) @ SY2563 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SY2559 ) ) @ SY2560 @ SY2561 @ SY2562 @ ( e1 @ SV254 @ SY2559 ) @ SY2563 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(390,plain,
    ! [SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY2564: $i,SY2565: $i,SY2566: $i,SY2567: $i,SY2568: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SY2564 ) ) @ SY2565 @ SY2566 @ SY2567 @ ( e1 @ SV255 @ SY2564 ) @ SY2568 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SY2564 ) @ SY2565 @ SY2566 @ SY2567 @ ( e1 @ SV255 @ ( s @ SY2564 ) ) @ SY2568 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(391,plain,
    ! [SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY2569: $i,SY2570: $i,SY2571: $i,SY2572: $i,SY2573: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SY2569 ) @ SY2570 @ SY2571 @ SY2572 @ ( e1 @ ( s @ SV256 ) @ SY2569 ) @ SY2573 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SY2569 ) @ SY2570 @ SY2571 @ SY2572 @ ( e1 @ SV256 @ SY2569 ) @ SY2573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(392,plain,
    ! [SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY2574: $i,SY2575: $i,SY2576: $i,SY2577: $i,SY2578: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SY2574 ) @ SY2575 @ SY2576 @ SY2577 @ ( e1 @ SV257 @ SY2574 ) @ SY2578 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SY2574 ) @ SY2575 @ SY2576 @ SY2577 @ ( e1 @ ( s @ SV257 ) @ SY2574 ) @ SY2578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(393,plain,
    ! [SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY2579: $i,SY2580: $i,SY2581: $i,SY2582: $i,SY2583: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SY2579 @ SY2580 ) @ SY2581 @ SY2582 @ ( e1 @ SY2579 @ ( s @ SY2580 ) ) @ SY2583 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SY2579 @ ( s @ SY2580 ) ) @ SY2581 @ SY2582 @ ( e1 @ SY2579 @ SY2580 ) @ SY2583 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(394,plain,
    ! [SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY2584: $i,SY2585: $i,SY2586: $i,SY2587: $i,SY2588: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SY2584 @ ( s @ SY2585 ) ) @ SY2586 @ SY2587 @ ( e1 @ SY2584 @ SY2585 ) @ SY2588 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SY2584 @ SY2585 ) @ SY2586 @ SY2587 @ ( e1 @ SY2584 @ ( s @ SY2585 ) ) @ SY2588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(395,plain,
    ! [SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY2589: $i,SY2590: $i,SY2591: $i,SY2592: $i,SY2593: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SY2589 @ SY2590 ) @ SY2591 @ SY2592 @ ( e1 @ ( s @ SY2589 ) @ SY2590 ) @ SY2593 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SY2589 ) @ SY2590 ) @ SY2591 @ SY2592 @ ( e1 @ SY2589 @ SY2590 ) @ SY2593 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(396,plain,
    ! [SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY2594: $i,SY2595: $i,SY2596: $i,SY2597: $i,SY2598: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SY2594 ) @ SY2595 ) @ SY2596 @ SY2597 @ ( e1 @ SY2594 @ SY2595 ) @ SY2598 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SY2594 @ SY2595 ) @ SY2596 @ SY2597 @ ( e1 @ ( s @ SY2594 ) @ SY2595 ) @ SY2598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(397,plain,
    ! [SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY2599: $i,SY2600: $i,SY2601: $i,SY2602: $i,SY2603: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SY2599 @ ( s3 @ SY2600 @ SY2601 ) @ SY2602 @ ( e1 @ SY2600 @ ( s @ SY2601 ) ) @ SY2603 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SY2599 @ ( s3 @ SY2600 @ ( s @ SY2601 ) ) @ SY2602 @ ( e1 @ SY2600 @ SY2601 ) @ SY2603 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(398,plain,
    ! [SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY2604: $i,SY2605: $i,SY2606: $i,SY2607: $i,SY2608: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SY2604 @ ( s3 @ SY2605 @ ( s @ SY2606 ) ) @ SY2607 @ ( e1 @ SY2605 @ SY2606 ) @ SY2608 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SY2604 @ ( s3 @ SY2605 @ SY2606 ) @ SY2607 @ ( e1 @ SY2605 @ ( s @ SY2606 ) ) @ SY2608 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(399,plain,
    ! [SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY2609: $i,SY2610: $i,SY2611: $i,SY2612: $i,SY2613: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SY2609 @ ( s3 @ SY2610 @ SY2611 ) @ SY2612 @ ( e1 @ ( s @ SY2610 ) @ SY2611 ) @ SY2613 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SY2609 @ ( s3 @ ( s @ SY2610 ) @ SY2611 ) @ SY2612 @ ( e1 @ SY2610 @ SY2611 ) @ SY2613 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(400,plain,
    ! [SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY2614: $i,SY2615: $i,SY2616: $i,SY2617: $i,SY2618: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SY2614 @ ( s3 @ ( s @ SY2615 ) @ SY2616 ) @ SY2617 @ ( e1 @ SY2615 @ SY2616 ) @ SY2618 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SY2614 @ ( s3 @ SY2615 @ SY2616 ) @ SY2617 @ ( e1 @ ( s @ SY2615 ) @ SY2616 ) @ SY2618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(401,plain,
    ! [SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY2619: $i,SY2620: $i,SY2621: $i,SY2622: $i,SY2623: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SY2619 @ SY2620 @ ( s4 @ SY2621 @ SY2622 ) @ ( e1 @ SY2621 @ ( s @ SY2622 ) ) @ SY2623 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SY2619 @ SY2620 @ ( s4 @ SY2621 @ ( s @ SY2622 ) ) @ ( e1 @ SY2621 @ SY2622 ) @ SY2623 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(402,plain,
    ! [SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY2624: $i,SY2625: $i,SY2626: $i,SY2627: $i,SY2628: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SY2624 @ SY2625 @ ( s4 @ SY2626 @ ( s @ SY2627 ) ) @ ( e1 @ SY2626 @ SY2627 ) @ SY2628 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SY2624 @ SY2625 @ ( s4 @ SY2626 @ SY2627 ) @ ( e1 @ SY2626 @ ( s @ SY2627 ) ) @ SY2628 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(403,plain,
    ! [SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY2629: $i,SY2630: $i,SY2631: $i,SY2632: $i,SY2633: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SY2629 @ SY2630 @ ( s4 @ SY2631 @ SY2632 ) @ ( e1 @ ( s @ SY2631 ) @ SY2632 ) @ SY2633 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SY2629 @ SY2630 @ ( s4 @ ( s @ SY2631 ) @ SY2632 ) @ ( e1 @ SY2631 @ SY2632 ) @ SY2633 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(404,plain,
    ! [SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY2634: $i,SY2635: $i,SY2636: $i,SY2637: $i,SY2638: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SY2634 @ SY2635 @ ( s4 @ ( s @ SY2636 ) @ SY2637 ) @ ( e1 @ SY2636 @ SY2637 ) @ SY2638 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SY2634 @ SY2635 @ ( s4 @ SY2636 @ SY2637 ) @ ( e1 @ ( s @ SY2636 ) @ SY2637 ) @ SY2638 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(405,plain,
    ! [SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY2639: $i,SY2640: $i,SY2641: $i,SY2642: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SY2639 @ SY2640 @ SY2641 @ SY2642 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SY2639 @ SY2640 @ SY2641 @ SY2642 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(406,plain,
    ! [SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY2643: $i,SY2644: $i,SY2645: $i,SY2646: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SY2643 @ SY2644 @ SY2645 @ SY2646 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SY2643 @ SY2644 @ SY2645 @ SY2646 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(407,plain,
    ! [SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY2647: $i,SY2648: $i,SY2649: $i,SY2650: $i,SY2651: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SY2647 @ SY2648 @ SY2649 @ SY2650 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY2651 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SY2647 @ SY2648 @ SY2649 @ SY2650 @ ( e1 @ SV62 @ SV104 ) @ SY2651 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(408,plain,
    ! [SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY2652: $i,SY2653: $i,SY2654: $i,SY2655: $i,SY2656: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SY2652 @ SY2653 @ SY2654 @ SY2655 @ ( e1 @ SV63 @ SV105 ) @ SY2656 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SY2652 @ SY2653 @ SY2654 @ SY2655 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY2656 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(409,plain,
    ! [SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY2657: $i,SY2658: $i,SY2659: $i,SY2660: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SY2657 @ SY2658 @ SY2659 @ SY2660 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SY2657 @ SY2658 @ SY2659 @ SY2660 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(410,plain,
    ! [SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY2661: $i,SY2662: $i,SY2663: $i,SY2664: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SY2661 @ SY2662 @ SY2663 @ SY2664 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SY2661 @ SY2662 @ SY2663 @ SY2664 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(411,plain,
    ! [SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY2665: $i,SY2666: $i,SY2667: $i,SY2668: $i,SY2669: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SY2665 @ SY2666 @ SY2667 @ SY2668 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY2669 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SY2665 @ SY2666 @ SY2667 @ SY2668 @ ( e1 @ SV108 @ SV150 ) @ SY2669 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(412,plain,
    ! [SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY2670: $i,SY2671: $i,SY2672: $i,SY2673: $i,SY2674: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SY2670 @ SY2671 @ SY2672 @ SY2673 @ ( e1 @ SV109 @ SV151 ) @ SY2674 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SY2670 @ SY2671 @ SY2672 @ SY2673 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY2674 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(413,plain,
    ! [SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY2675: $i,SY2676: $i,SY2677: $i,SY2678: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SY2675 @ SY2676 @ SY2677 @ SY2678 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SY2675 @ SY2676 @ SY2677 @ SY2678 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(414,plain,
    ! [SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY2679: $i,SY2680: $i,SY2681: $i,SY2682: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SY2679 @ SY2680 @ SY2681 @ SY2682 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SY2679 @ SY2680 @ SY2681 @ SY2682 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(415,plain,
    ! [SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY2683: $i,SY2684: $i,SY2685: $i,SY2686: $i,SY2687: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SY2683 @ SY2684 @ SY2685 @ SY2686 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY2687 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SY2683 @ SY2684 @ SY2685 @ SY2686 @ ( e1 @ SV154 @ SV196 ) @ SY2687 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(416,plain,
    ! [SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY2688: $i,SY2689: $i,SY2690: $i,SY2691: $i,SY2692: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SY2688 @ SY2689 @ SY2690 @ SY2691 @ ( e1 @ SV155 @ SV197 ) @ SY2692 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SY2688 @ SY2689 @ SY2690 @ SY2691 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY2692 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(417,plain,
    ! [SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY2693: $i,SY2694: $i,SY2695: $i,SY2696: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SY2693 @ SY2694 @ SY2695 @ SY2696 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SY2693 @ SY2694 @ SY2695 @ SY2696 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(418,plain,
    ! [SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY2697: $i,SY2698: $i,SY2699: $i,SY2700: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SY2697 @ SY2698 @ SY2699 @ SY2700 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SY2697 @ SY2698 @ SY2699 @ SY2700 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(419,plain,
    ! [SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY2701: $i,SY2702: $i,SY2703: $i,SY2704: $i,SY2705: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SY2701 @ SY2702 @ SY2703 @ SY2704 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SY2705 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SY2701 @ SY2702 @ SY2703 @ SY2704 @ ( e1 @ SV200 @ SV242 ) @ SY2705 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(420,plain,
    ! [SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY2706: $i,SY2707: $i,SY2708: $i,SY2709: $i,SY2710: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SY2706 @ SY2707 @ SY2708 @ SY2709 @ ( e1 @ SV201 @ SV243 ) @ SY2710 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SY2706 @ SY2707 @ SY2708 @ SY2709 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SY2710 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(421,plain,
    ! [SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY2711: $i,SY2712: $i,SY2713: $i,SY2714: $i,SY2715: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SY2711 @ SY2712 @ SY2713 @ SY2714 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SY2715 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SY2711 @ SY2712 @ SY2713 @ SY2714 @ ( e1 @ SV244 @ SV286 ) @ SY2715 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(422,plain,
    ! [SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY2716: $i,SY2717: $i,SY2718: $i,SY2719: $i,SY2720: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SY2716 @ SY2717 @ SY2718 @ SY2719 @ ( e1 @ SV245 @ SV287 ) @ SY2720 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SY2716 @ SY2717 @ SY2718 @ SY2719 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SY2720 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(423,plain,
    ! [SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY2721: $i,SY2722: $i,SY2723: $i,SY2724: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SY2721 @ SY2722 @ SY2723 @ SY2724 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SY2721 @ SY2722 @ SY2723 @ SY2724 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[381]) ).

thf(424,plain,
    ! [SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY2725: $i,SY2726: $i,SY2727: $i,SY2728: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SY2725 @ SY2726 @ SY2727 @ SY2728 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SY2725 @ SY2726 @ SY2727 @ SY2728 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(425,plain,
    ! [SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY2729: $i,SY2730: $i,SY2731: $i,SY2732: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SY2729 @ SY2730 @ SY2731 @ SY2732 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SY2729 @ SY2730 @ SY2731 @ SY2732 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(426,plain,
    ! [SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY2733: $i,SY2734: $i,SY2735: $i,SY2736: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SY2733 @ SY2734 @ SY2735 @ SY2736 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SY2733 @ SY2734 @ SY2735 @ SY2736 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(427,plain,
    ! [SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY2737: $i,SY2738: $i,SY2739: $i,SY2740: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SY2737 @ SY2738 @ SY2739 @ SY2740 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SY2737 @ SY2738 @ SY2739 @ SY2740 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[385]) ).

thf(428,plain,
    ! [SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY2741: $i,SY2742: $i,SY2743: $i,SY2744: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SY2741 @ SY2742 @ SY2743 @ SY2744 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SY2741 @ SY2742 @ SY2743 @ SY2744 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(429,plain,
    ! [SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY2745: $i,SY2746: $i,SY2747: $i,SY2748: $i,SY2749: $i,SY2750: $i,SY2751: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SY2745 @ SY2746 @ SY2747 @ ( e1 @ SY2748 @ SY2749 ) @ ( e2 @ SY2750 @ SY2751 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SY2745 @ SY2746 @ SY2747 @ ( e1 @ SY2750 @ SY2751 ) @ ( e2 @ SY2748 @ SY2749 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[387]) ).

thf(430,plain,
    ! [SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY2752: $i,SY2753: $i,SY2754: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SY2752 @ SY2753 @ SY2754 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[388]) ).

thf(431,plain,
    ! [SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY2755: $i,SY2756: $i,SY2757: $i,SY2758: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SY2755 @ SY2756 @ SY2757 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SY2758 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SY2755 @ SY2756 @ SY2757 @ ( e1 @ SV254 @ SV296 ) @ SY2758 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(432,plain,
    ! [SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY2759: $i,SY2760: $i,SY2761: $i,SY2762: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SY2759 @ SY2760 @ SY2761 @ ( e1 @ SV255 @ SV297 ) @ SY2762 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SY2759 @ SY2760 @ SY2761 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SY2762 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(433,plain,
    ! [SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY2763: $i,SY2764: $i,SY2765: $i,SY2766: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SY2763 @ SY2764 @ SY2765 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SY2766 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SY2763 @ SY2764 @ SY2765 @ ( e1 @ SV256 @ SV298 ) @ SY2766 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[391]) ).

thf(434,plain,
    ! [SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY2767: $i,SY2768: $i,SY2769: $i,SY2770: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SY2767 @ SY2768 @ SY2769 @ ( e1 @ SV257 @ SV299 ) @ SY2770 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SY2767 @ SY2768 @ SY2769 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SY2770 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(435,plain,
    ! [SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY2771: $i,SY2772: $i,SY2773: $i,SY2774: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SY2771 ) @ SY2772 @ SY2773 @ ( e1 @ SV300 @ ( s @ SY2771 ) ) @ SY2774 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SY2771 ) ) @ SY2772 @ SY2773 @ ( e1 @ SV300 @ SY2771 ) @ SY2774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(436,plain,
    ! [SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY2775: $i,SY2776: $i,SY2777: $i,SY2778: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SY2775 ) ) @ SY2776 @ SY2777 @ ( e1 @ SV301 @ SY2775 ) @ SY2778 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SY2775 ) @ SY2776 @ SY2777 @ ( e1 @ SV301 @ ( s @ SY2775 ) ) @ SY2778 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(437,plain,
    ! [SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY2779: $i,SY2780: $i,SY2781: $i,SY2782: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SY2779 ) @ SY2780 @ SY2781 @ ( e1 @ ( s @ SV302 ) @ SY2779 ) @ SY2782 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SY2779 ) @ SY2780 @ SY2781 @ ( e1 @ SV302 @ SY2779 ) @ SY2782 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(438,plain,
    ! [SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY2783: $i,SY2784: $i,SY2785: $i,SY2786: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SY2783 ) @ SY2784 @ SY2785 @ ( e1 @ SV303 @ SY2783 ) @ SY2786 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SY2783 ) @ SY2784 @ SY2785 @ ( e1 @ ( s @ SV303 ) @ SY2783 ) @ SY2786 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(439,plain,
    ! [SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY2787: $i,SY2788: $i,SY2789: $i,SY2790: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SY2787 @ SY2788 ) @ SY2789 @ ( e1 @ SY2787 @ ( s @ SY2788 ) ) @ SY2790 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SY2787 @ ( s @ SY2788 ) ) @ SY2789 @ ( e1 @ SY2787 @ SY2788 ) @ SY2790 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[397]) ).

thf(440,plain,
    ! [SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY2791: $i,SY2792: $i,SY2793: $i,SY2794: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SY2791 @ ( s @ SY2792 ) ) @ SY2793 @ ( e1 @ SY2791 @ SY2792 ) @ SY2794 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SY2791 @ SY2792 ) @ SY2793 @ ( e1 @ SY2791 @ ( s @ SY2792 ) ) @ SY2794 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(441,plain,
    ! [SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY2795: $i,SY2796: $i,SY2797: $i,SY2798: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SY2795 @ SY2796 ) @ SY2797 @ ( e1 @ ( s @ SY2795 ) @ SY2796 ) @ SY2798 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SY2795 ) @ SY2796 ) @ SY2797 @ ( e1 @ SY2795 @ SY2796 ) @ SY2798 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(442,plain,
    ! [SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY2799: $i,SY2800: $i,SY2801: $i,SY2802: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SY2799 ) @ SY2800 ) @ SY2801 @ ( e1 @ SY2799 @ SY2800 ) @ SY2802 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SY2799 @ SY2800 ) @ SY2801 @ ( e1 @ ( s @ SY2799 ) @ SY2800 ) @ SY2802 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(443,plain,
    ! [SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY2803: $i,SY2804: $i,SY2805: $i,SY2806: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SY2803 @ ( s4 @ SY2804 @ SY2805 ) @ ( e1 @ SY2804 @ ( s @ SY2805 ) ) @ SY2806 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SY2803 @ ( s4 @ SY2804 @ ( s @ SY2805 ) ) @ ( e1 @ SY2804 @ SY2805 ) @ SY2806 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(444,plain,
    ! [SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY2807: $i,SY2808: $i,SY2809: $i,SY2810: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SY2807 @ ( s4 @ SY2808 @ ( s @ SY2809 ) ) @ ( e1 @ SY2808 @ SY2809 ) @ SY2810 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SY2807 @ ( s4 @ SY2808 @ SY2809 ) @ ( e1 @ SY2808 @ ( s @ SY2809 ) ) @ SY2810 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(445,plain,
    ! [SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY2811: $i,SY2812: $i,SY2813: $i,SY2814: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SY2811 @ ( s4 @ SY2812 @ SY2813 ) @ ( e1 @ ( s @ SY2812 ) @ SY2813 ) @ SY2814 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SY2811 @ ( s4 @ ( s @ SY2812 ) @ SY2813 ) @ ( e1 @ SY2812 @ SY2813 ) @ SY2814 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(446,plain,
    ! [SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY2815: $i,SY2816: $i,SY2817: $i,SY2818: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SY2815 @ ( s4 @ ( s @ SY2816 ) @ SY2817 ) @ ( e1 @ SY2816 @ SY2817 ) @ SY2818 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SY2815 @ ( s4 @ SY2816 @ SY2817 ) @ ( e1 @ ( s @ SY2816 ) @ SY2817 ) @ SY2818 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(447,plain,
    ! [SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY2819: $i,SY2820: $i,SY2821: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SY2819 @ SY2820 @ SY2821 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SY2819 @ SY2820 @ SY2821 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(448,plain,
    ! [SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY2822: $i,SY2823: $i,SY2824: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SY2822 @ SY2823 @ SY2824 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SY2822 @ SY2823 @ SY2824 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(449,plain,
    ! [SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY2825: $i,SY2826: $i,SY2827: $i,SY2828: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SY2825 @ SY2826 @ SY2827 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY2828 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SY2825 @ SY2826 @ SY2827 @ ( e1 @ SV62 @ SV104 ) @ SY2828 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(450,plain,
    ! [SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY2829: $i,SY2830: $i,SY2831: $i,SY2832: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SY2829 @ SY2830 @ SY2831 @ ( e1 @ SV63 @ SV105 ) @ SY2832 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SY2829 @ SY2830 @ SY2831 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY2832 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(451,plain,
    ! [SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY2833: $i,SY2834: $i,SY2835: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SV316 @ SY2833 @ SY2834 @ SY2835 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SV316 @ SY2833 @ SY2834 @ SY2835 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(452,plain,
    ! [SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY2836: $i,SY2837: $i,SY2838: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SV317 @ SY2836 @ SY2837 @ SY2838 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SV317 @ SY2836 @ SY2837 @ SY2838 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(453,plain,
    ! [SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY2839: $i,SY2840: $i,SY2841: $i,SY2842: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SY2839 @ SY2840 @ SY2841 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY2842 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SY2839 @ SY2840 @ SY2841 @ ( e1 @ SV108 @ SV150 ) @ SY2842 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(454,plain,
    ! [SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY2843: $i,SY2844: $i,SY2845: $i,SY2846: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SY2843 @ SY2844 @ SY2845 @ ( e1 @ SV109 @ SV151 ) @ SY2846 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SY2843 @ SY2844 @ SY2845 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY2846 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(455,plain,
    ! [SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY2847: $i,SY2848: $i,SY2849: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SV320 @ SY2847 @ SY2848 @ SY2849 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SV320 @ SY2847 @ SY2848 @ SY2849 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(456,plain,
    ! [SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY2850: $i,SY2851: $i,SY2852: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SV321 @ SY2850 @ SY2851 @ SY2852 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SV321 @ SY2850 @ SY2851 @ SY2852 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(457,plain,
    ! [SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY2853: $i,SY2854: $i,SY2855: $i,SY2856: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SY2853 @ SY2854 @ SY2855 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY2856 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SY2853 @ SY2854 @ SY2855 @ ( e1 @ SV154 @ SV196 ) @ SY2856 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(458,plain,
    ! [SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY2857: $i,SY2858: $i,SY2859: $i,SY2860: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SY2857 @ SY2858 @ SY2859 @ ( e1 @ SV155 @ SV197 ) @ SY2860 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SY2857 @ SY2858 @ SY2859 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY2860 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(459,plain,
    ! [SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY2861: $i,SY2862: $i,SY2863: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SV324 @ SY2861 @ SY2862 @ SY2863 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SV324 @ SY2861 @ SY2862 @ SY2863 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[417]) ).

thf(460,plain,
    ! [SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY2864: $i,SY2865: $i,SY2866: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SV325 @ SY2864 @ SY2865 @ SY2866 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SV325 @ SY2864 @ SY2865 @ SY2866 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[418]) ).

thf(461,plain,
    ! [SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY2867: $i,SY2868: $i,SY2869: $i,SY2870: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SY2867 @ SY2868 @ SY2869 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SY2870 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SY2867 @ SY2868 @ SY2869 @ ( e1 @ SV200 @ SV242 ) @ SY2870 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(462,plain,
    ! [SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY2871: $i,SY2872: $i,SY2873: $i,SY2874: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SY2871 @ SY2872 @ SY2873 @ ( e1 @ SV201 @ SV243 ) @ SY2874 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SY2871 @ SY2872 @ SY2873 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SY2874 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(463,plain,
    ! [SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY2875: $i,SY2876: $i,SY2877: $i,SY2878: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SY2875 @ SY2876 @ SY2877 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SY2878 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SY2875 @ SY2876 @ SY2877 @ ( e1 @ SV244 @ SV286 ) @ SY2878 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(464,plain,
    ! [SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY2879: $i,SY2880: $i,SY2881: $i,SY2882: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SY2879 @ SY2880 @ SY2881 @ ( e1 @ SV245 @ SV287 ) @ SY2882 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SY2879 @ SY2880 @ SY2881 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SY2882 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(465,plain,
    ! [SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY2883: $i,SY2884: $i,SY2885: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SY2883 @ SY2884 @ SY2885 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SV330 @ SY2883 @ SY2884 @ SY2885 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(466,plain,
    ! [SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY2886: $i,SY2887: $i,SY2888: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SV331 @ SY2886 @ SY2887 @ SY2888 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SY2886 @ SY2887 @ SY2888 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(467,plain,
    ! [SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY2889: $i,SY2890: $i,SY2891: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SY2889 @ SY2890 @ SY2891 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SY2889 @ SY2890 @ SY2891 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(468,plain,
    ! [SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY2892: $i,SY2893: $i,SY2894: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SY2892 @ SY2893 @ SY2894 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SY2892 @ SY2893 @ SY2894 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(469,plain,
    ! [SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY2895: $i,SY2896: $i,SY2897: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SY2895 @ SY2896 @ SY2897 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SY2895 @ SY2896 @ SY2897 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(470,plain,
    ! [SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY2898: $i,SY2899: $i,SY2900: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SY2898 @ SY2899 @ SY2900 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SY2898 @ SY2899 @ SY2900 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(471,plain,
    ! [SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY2901: $i,SY2902: $i,SY2903: $i,SY2904: $i,SY2905: $i,SY2906: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SY2901 @ SY2902 @ ( e1 @ SY2903 @ SY2904 ) @ ( e2 @ SY2905 @ SY2906 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SY2901 @ SY2902 @ ( e1 @ SY2905 @ SY2906 ) @ ( e2 @ SY2903 @ SY2904 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(472,plain,
    ! [SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY2907: $i,SY2908: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SY2907 @ SY2908 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(473,plain,
    ! [SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY2909: $i,SY2910: $i,SY2911: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SV338 @ SY2909 @ SY2910 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SY2911 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SV338 @ SY2909 @ SY2910 @ ( e1 @ SV254 @ SV296 ) @ SY2911 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(474,plain,
    ! [SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY2912: $i,SY2913: $i,SY2914: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SV339 @ SY2912 @ SY2913 @ ( e1 @ SV255 @ SV297 ) @ SY2914 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SV339 @ SY2912 @ SY2913 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SY2914 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(475,plain,
    ! [SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY2915: $i,SY2916: $i,SY2917: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SY2915 @ SY2916 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SY2917 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SV340 @ SY2915 @ SY2916 @ ( e1 @ SV256 @ SV298 ) @ SY2917 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(476,plain,
    ! [SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY2918: $i,SY2919: $i,SY2920: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SV341 @ SY2918 @ SY2919 @ ( e1 @ SV257 @ SV299 ) @ SY2920 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SY2918 @ SY2919 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SY2920 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(477,plain,
    ! [SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY2921: $i,SY2922: $i,SY2923: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SV342 ) @ SY2921 @ SY2922 @ ( e1 @ SV300 @ ( s @ SV342 ) ) @ SY2923 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SV342 ) ) @ SY2921 @ SY2922 @ ( e1 @ SV300 @ SV342 ) @ SY2923 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[435]) ).

thf(478,plain,
    ! [SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY2924: $i,SY2925: $i,SY2926: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SV343 ) ) @ SY2924 @ SY2925 @ ( e1 @ SV301 @ SV343 ) @ SY2926 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SV343 ) @ SY2924 @ SY2925 @ ( e1 @ SV301 @ ( s @ SV343 ) ) @ SY2926 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(479,plain,
    ! [SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY2927: $i,SY2928: $i,SY2929: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SY2927 @ SY2928 @ ( e1 @ ( s @ SV302 ) @ SV344 ) @ SY2929 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SV344 ) @ SY2927 @ SY2928 @ ( e1 @ SV302 @ SV344 ) @ SY2929 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[437]) ).

thf(480,plain,
    ! [SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY2930: $i,SY2931: $i,SY2932: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SV345 ) @ SY2930 @ SY2931 @ ( e1 @ SV303 @ SV345 ) @ SY2932 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SY2930 @ SY2931 @ ( e1 @ ( s @ SV303 ) @ SV345 ) @ SY2932 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(481,plain,
    ! [SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY2933: $i,SY2934: $i,SY2935: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ SY2933 ) @ SY2934 @ ( e1 @ SV346 @ ( s @ SY2933 ) ) @ SY2935 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ ( s @ SY2933 ) ) @ SY2934 @ ( e1 @ SV346 @ SY2933 ) @ SY2935 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(482,plain,
    ! [SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY2936: $i,SY2937: $i,SY2938: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ ( s @ SY2936 ) ) @ SY2937 @ ( e1 @ SV347 @ SY2936 ) @ SY2938 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ SY2936 ) @ SY2937 @ ( e1 @ SV347 @ ( s @ SY2936 ) ) @ SY2938 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(483,plain,
    ! [SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY2939: $i,SY2940: $i,SY2941: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SY2939 ) @ SY2940 @ ( e1 @ ( s @ SV348 ) @ SY2939 ) @ SY2941 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SV348 ) @ SY2939 ) @ SY2940 @ ( e1 @ SV348 @ SY2939 ) @ SY2941 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(484,plain,
    ! [SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY2942: $i,SY2943: $i,SY2944: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SV349 ) @ SY2942 ) @ SY2943 @ ( e1 @ SV349 @ SY2942 ) @ SY2944 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SY2942 ) @ SY2943 @ ( e1 @ ( s @ SV349 ) @ SY2942 ) @ SY2944 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[442]) ).

thf(485,plain,
    ! [SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY2945: $i,SY2946: $i,SY2947: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SY2945 @ SY2946 ) @ ( e1 @ SY2945 @ ( s @ SY2946 ) ) @ SY2947 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SY2945 @ ( s @ SY2946 ) ) @ ( e1 @ SY2945 @ SY2946 ) @ SY2947 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(486,plain,
    ! [SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY2948: $i,SY2949: $i,SY2950: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SY2948 @ ( s @ SY2949 ) ) @ ( e1 @ SY2948 @ SY2949 ) @ SY2950 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SY2948 @ SY2949 ) @ ( e1 @ SY2948 @ ( s @ SY2949 ) ) @ SY2950 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(487,plain,
    ! [SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY2951: $i,SY2952: $i,SY2953: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SY2951 @ SY2952 ) @ ( e1 @ ( s @ SY2951 ) @ SY2952 ) @ SY2953 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ ( s @ SY2951 ) @ SY2952 ) @ ( e1 @ SY2951 @ SY2952 ) @ SY2953 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(488,plain,
    ! [SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY2954: $i,SY2955: $i,SY2956: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ ( s @ SY2954 ) @ SY2955 ) @ ( e1 @ SY2954 @ SY2955 ) @ SY2956 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SY2954 @ SY2955 ) @ ( e1 @ ( s @ SY2954 ) @ SY2955 ) @ SY2956 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(489,plain,
    ! [SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY2957: $i,SY2958: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SY2957 @ SY2958 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SY2957 @ SY2958 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(490,plain,
    ! [SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY2959: $i,SY2960: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SY2959 @ SY2960 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SY2959 @ SY2960 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(491,plain,
    ! [SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY2961: $i,SY2962: $i,SY2963: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SY2961 @ SY2962 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY2963 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SY2961 @ SY2962 @ ( e1 @ SV62 @ SV104 ) @ SY2963 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(492,plain,
    ! [SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY2964: $i,SY2965: $i,SY2966: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SY2964 @ SY2965 @ ( e1 @ SV63 @ SV105 ) @ SY2966 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SY2964 @ SY2965 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY2966 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(493,plain,
    ! [SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY2967: $i,SY2968: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SY2967 @ SY2968 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SY2967 @ SY2968 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(494,plain,
    ! [SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY2969: $i,SY2970: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SY2969 @ SY2970 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SY2969 @ SY2970 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(495,plain,
    ! [SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY2971: $i,SY2972: $i,SY2973: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SY2971 @ SY2972 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY2973 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SY2971 @ SY2972 @ ( e1 @ SV108 @ SV150 ) @ SY2973 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(496,plain,
    ! [SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY2974: $i,SY2975: $i,SY2976: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SY2974 @ SY2975 @ ( e1 @ SV109 @ SV151 ) @ SY2976 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SY2974 @ SY2975 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY2976 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(497,plain,
    ! [SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY2977: $i,SY2978: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SV320 @ SV362 @ SY2977 @ SY2978 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SV320 @ SV362 @ SY2977 @ SY2978 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(498,plain,
    ! [SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY2979: $i,SY2980: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SV321 @ SV363 @ SY2979 @ SY2980 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SV321 @ SV363 @ SY2979 @ SY2980 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(499,plain,
    ! [SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY2981: $i,SY2982: $i,SY2983: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SY2981 @ SY2982 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY2983 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SY2981 @ SY2982 @ ( e1 @ SV154 @ SV196 ) @ SY2983 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(500,plain,
    ! [SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY2984: $i,SY2985: $i,SY2986: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SY2984 @ SY2985 @ ( e1 @ SV155 @ SV197 ) @ SY2986 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SY2984 @ SY2985 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY2986 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(501,plain,
    ! [SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY2987: $i,SY2988: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SV324 @ SV366 @ SY2987 @ SY2988 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SV324 @ SV366 @ SY2987 @ SY2988 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[459]) ).

thf(502,plain,
    ! [SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY2989: $i,SY2990: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SV325 @ SV367 @ SY2989 @ SY2990 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SV325 @ SV367 @ SY2989 @ SY2990 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[460]) ).

thf(503,plain,
    ! [SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY2991: $i,SY2992: $i,SY2993: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SY2991 @ SY2992 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SY2993 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SV368 @ SY2991 @ SY2992 @ ( e1 @ SV200 @ SV242 ) @ SY2993 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(504,plain,
    ! [SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY2994: $i,SY2995: $i,SY2996: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SV369 @ SY2994 @ SY2995 @ ( e1 @ SV201 @ SV243 ) @ SY2996 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SY2994 @ SY2995 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SY2996 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[462]) ).

thf(505,plain,
    ! [SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY2997: $i,SY2998: $i,SY2999: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SV370 @ SY2997 @ SY2998 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SY2999 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SV370 @ SY2997 @ SY2998 @ ( e1 @ SV244 @ SV286 ) @ SY2999 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(506,plain,
    ! [SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY3000: $i,SY3001: $i,SY3002: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SV371 @ SY3000 @ SY3001 @ ( e1 @ SV245 @ SV287 ) @ SY3002 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SV371 @ SY3000 @ SY3001 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SY3002 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(507,plain,
    ! [SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY3003: $i,SY3004: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SY3003 @ SY3004 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SV330 @ SV372 @ SY3003 @ SY3004 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(508,plain,
    ! [SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY3005: $i,SY3006: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SV331 @ SV373 @ SY3005 @ SY3006 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SY3005 @ SY3006 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(509,plain,
    ! [SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY3007: $i,SY3008: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SY3007 @ SY3008 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SY3007 @ SY3008 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(510,plain,
    ! [SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY3009: $i,SY3010: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SY3009 @ SY3010 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SY3009 @ SY3010 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(511,plain,
    ! [SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY3011: $i,SY3012: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SY3011 @ SY3012 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SY3011 @ SY3012 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(512,plain,
    ! [SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY3013: $i,SY3014: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SY3013 @ SY3014 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SY3013 @ SY3014 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(513,plain,
    ! [SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY3015: $i,SY3016: $i,SY3017: $i,SY3018: $i,SY3019: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SY3015 @ ( e1 @ SY3016 @ SY3017 ) @ ( e2 @ SY3018 @ SY3019 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SY3015 @ ( e1 @ SY3018 @ SY3019 ) @ ( e2 @ SY3016 @ SY3017 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(514,plain,
    ! [SV379: $i,SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ! [SY3020: $i] :
            ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SY3020 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(515,plain,
    ! [SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY3021: $i,SY3022: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SV338 @ SV380 @ SY3021 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SY3022 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SV338 @ SV380 @ SY3021 @ ( e1 @ SV254 @ SV296 ) @ SY3022 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[473]) ).

thf(516,plain,
    ! [SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY3023: $i,SY3024: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SV339 @ SV381 @ SY3023 @ ( e1 @ SV255 @ SV297 ) @ SY3024 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SV339 @ SV381 @ SY3023 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SY3024 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(517,plain,
    ! [SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY3025: $i,SY3026: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SY3025 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SY3026 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SV340 @ SV382 @ SY3025 @ ( e1 @ SV256 @ SV298 ) @ SY3026 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(518,plain,
    ! [SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY3027: $i,SY3028: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SV341 @ SV383 @ SY3027 @ ( e1 @ SV257 @ SV299 ) @ SY3028 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SY3027 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SY3028 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(519,plain,
    ! [SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY3029: $i,SY3030: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SV342 ) @ SV384 @ SY3029 @ ( e1 @ SV300 @ ( s @ SV342 ) ) @ SY3030 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SV342 ) ) @ SV384 @ SY3029 @ ( e1 @ SV300 @ SV342 ) @ SY3030 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(520,plain,
    ! [SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY3031: $i,SY3032: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SV343 ) ) @ SV385 @ SY3031 @ ( e1 @ SV301 @ SV343 ) @ SY3032 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SV343 ) @ SV385 @ SY3031 @ ( e1 @ SV301 @ ( s @ SV343 ) ) @ SY3032 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(521,plain,
    ! [SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY3033: $i,SY3034: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SY3033 @ ( e1 @ ( s @ SV302 ) @ SV344 ) @ SY3034 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SV344 ) @ SV386 @ SY3033 @ ( e1 @ SV302 @ SV344 ) @ SY3034 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(522,plain,
    ! [SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY3035: $i,SY3036: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SV345 ) @ SV387 @ SY3035 @ ( e1 @ SV303 @ SV345 ) @ SY3036 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SY3035 @ ( e1 @ ( s @ SV303 ) @ SV345 ) @ SY3036 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[480]) ).

thf(523,plain,
    ! [SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY3037: $i,SY3038: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ SV388 ) @ SY3037 @ ( e1 @ SV346 @ ( s @ SV388 ) ) @ SY3038 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ ( s @ SV388 ) ) @ SY3037 @ ( e1 @ SV346 @ SV388 ) @ SY3038 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[481]) ).

thf(524,plain,
    ! [SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY3039: $i,SY3040: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ ( s @ SV389 ) ) @ SY3039 @ ( e1 @ SV347 @ SV389 ) @ SY3040 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ SV389 ) @ SY3039 @ ( e1 @ SV347 @ ( s @ SV389 ) ) @ SY3040 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(525,plain,
    ! [SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY3041: $i,SY3042: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SY3041 @ ( e1 @ ( s @ SV348 ) @ SV390 ) @ SY3042 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SV348 ) @ SV390 ) @ SY3041 @ ( e1 @ SV348 @ SV390 ) @ SY3042 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(526,plain,
    ! [SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY3043: $i,SY3044: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SV349 ) @ SV391 ) @ SY3043 @ ( e1 @ SV349 @ SV391 ) @ SY3044 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SY3043 @ ( e1 @ ( s @ SV349 ) @ SV391 ) @ SY3044 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(527,plain,
    ! [SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY3045: $i,SY3046: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ SY3045 ) @ ( e1 @ SV392 @ ( s @ SY3045 ) ) @ SY3046 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ ( s @ SY3045 ) ) @ ( e1 @ SV392 @ SY3045 ) @ SY3046 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[485]) ).

thf(528,plain,
    ! [SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY3047: $i,SY3048: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ ( s @ SY3047 ) ) @ ( e1 @ SV393 @ SY3047 ) @ SY3048 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ SY3047 ) @ ( e1 @ SV393 @ ( s @ SY3047 ) ) @ SY3048 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(529,plain,
    ! [SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY3049: $i,SY3050: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SY3049 ) @ ( e1 @ ( s @ SV394 ) @ SY3049 ) @ SY3050 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ ( s @ SV394 ) @ SY3049 ) @ ( e1 @ SV394 @ SY3049 ) @ SY3050 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(530,plain,
    ! [SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY3051: $i,SY3052: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ ( s @ SV395 ) @ SY3051 ) @ ( e1 @ SV395 @ SY3051 ) @ SY3052 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SY3051 ) @ ( e1 @ ( s @ SV395 ) @ SY3051 ) @ SY3052 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(531,plain,
    ! [SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ! [SY3053: $i] :
            ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SY3053 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
            | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SY3053 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(532,plain,
    ! [SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ! [SY3054: $i] :
            ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SY3054 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
            | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SY3054 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[490]) ).

thf(533,plain,
    ! [SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY3055: $i,SY3056: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SY3055 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY3056 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SY3055 @ ( e1 @ SV62 @ SV104 ) @ SY3056 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[491]) ).

thf(534,plain,
    ! [SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY3057: $i,SY3058: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SY3057 @ ( e1 @ SV63 @ SV105 ) @ SY3058 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SY3057 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY3058 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(535,plain,
    ! [SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ! [SY3059: $i] :
            ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SY3059 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
            | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SY3059 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(536,plain,
    ! [SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ! [SY3060: $i] :
            ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SY3060 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
            | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SY3060 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(537,plain,
    ! [SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY3061: $i,SY3062: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SY3061 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY3062 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SY3061 @ ( e1 @ SV108 @ SV150 ) @ SY3062 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[495]) ).

thf(538,plain,
    ! [SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY3063: $i,SY3064: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SY3063 @ ( e1 @ SV109 @ SV151 ) @ SY3064 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SY3063 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY3064 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(539,plain,
    ! [SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ! [SY3065: $i] :
            ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SY3065 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
            | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SY3065 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(540,plain,
    ! [SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ! [SY3066: $i] :
            ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SY3066 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
            | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SY3066 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(541,plain,
    ! [SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY3067: $i,SY3068: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SY3067 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY3068 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SY3067 @ ( e1 @ SV154 @ SV196 ) @ SY3068 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(542,plain,
    ! [SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY3069: $i,SY3070: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SY3069 @ ( e1 @ SV155 @ SV197 ) @ SY3070 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SY3069 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY3070 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(543,plain,
    ! [SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ! [SY3071: $i] :
            ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SV324 @ SV366 @ SV408 @ SY3071 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
            | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SV324 @ SV366 @ SV408 @ SY3071 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(544,plain,
    ! [SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ! [SY3072: $i] :
            ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SV325 @ SV367 @ SV409 @ SY3072 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
            | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SV325 @ SV367 @ SV409 @ SY3072 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[502]) ).

thf(545,plain,
    ! [SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY3073: $i,SY3074: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SY3073 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SY3074 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SY3073 @ ( e1 @ SV200 @ SV242 ) @ SY3074 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(546,plain,
    ! [SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY3075: $i,SY3076: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SY3075 @ ( e1 @ SV201 @ SV243 ) @ SY3076 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SY3075 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SY3076 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(547,plain,
    ! [SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY3077: $i,SY3078: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SV370 @ SV412 @ SY3077 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SY3078 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SV370 @ SV412 @ SY3077 @ ( e1 @ SV244 @ SV286 ) @ SY3078 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[505]) ).

thf(548,plain,
    ! [SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY3079: $i,SY3080: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SV371 @ SV413 @ SY3079 @ ( e1 @ SV245 @ SV287 ) @ SY3080 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SV371 @ SV413 @ SY3079 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SY3080 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(549,plain,
    ! [SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ! [SY3081: $i] :
            ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SY3081 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) )
            | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SV330 @ SV372 @ SV414 @ SY3081 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(550,plain,
    ! [SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ! [SY3082: $i] :
            ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SV331 @ SV373 @ SV415 @ SY3082 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) )
            | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SY3082 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(551,plain,
    ! [SV416: $i,SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ! [SY3083: $i] :
            ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SY3083 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
            | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SY3083 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[509]) ).

thf(552,plain,
    ! [SV417: $i,SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ! [SY3084: $i] :
            ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SY3084 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
            | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SY3084 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[510]) ).

thf(553,plain,
    ! [SV418: $i,SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ! [SY3085: $i] :
            ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SY3085 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
            | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SY3085 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(554,plain,
    ! [SV419: $i,SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ! [SY3086: $i] :
            ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SY3086 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
            | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SY3086 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[512]) ).

thf(555,plain,
    ! [SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY3087: $i,SY3088: $i,SY3089: $i,SY3090: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SY3087 @ SY3088 ) @ ( e2 @ SY3089 @ SY3090 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SY3089 @ SY3090 ) @ ( e2 @ SY3087 @ SY3088 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(556,plain,
    ! [SV421: $i,SV379: $i,SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( ~ ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SV421 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[514]) ).

thf(557,plain,
    ! [SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ! [SY3091: $i] :
            ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SY3091 )
            | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ SV296 ) @ SY3091 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[515]) ).

thf(558,plain,
    ! [SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ! [SY3092: $i] :
            ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ SV297 ) @ SY3092 )
            | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SY3092 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[516]) ).

thf(559,plain,
    ! [SV424: $i,SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ! [SY3093: $i] :
            ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SY3093 )
            | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ SV298 ) @ SY3093 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[517]) ).

thf(560,plain,
    ! [SV425: $i,SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ! [SY3094: $i] :
            ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ SV299 ) @ SY3094 )
            | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SY3094 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[518]) ).

thf(561,plain,
    ! [SV426: $i,SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ! [SY3095: $i] :
            ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SV342 ) @ SV384 @ SV426 @ ( e1 @ SV300 @ ( s @ SV342 ) ) @ SY3095 )
            | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SV342 ) ) @ SV384 @ SV426 @ ( e1 @ SV300 @ SV342 ) @ SY3095 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[519]) ).

thf(562,plain,
    ! [SV427: $i,SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ! [SY3096: $i] :
            ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SV343 ) ) @ SV385 @ SV427 @ ( e1 @ SV301 @ SV343 ) @ SY3096 )
            | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SV343 ) @ SV385 @ SV427 @ ( e1 @ SV301 @ ( s @ SV343 ) ) @ SY3096 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(563,plain,
    ! [SV428: $i,SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ! [SY3097: $i] :
            ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SV428 @ ( e1 @ ( s @ SV302 ) @ SV344 ) @ SY3097 )
            | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SV344 ) @ SV386 @ SV428 @ ( e1 @ SV302 @ SV344 ) @ SY3097 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(564,plain,
    ! [SV429: $i,SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ! [SY3098: $i] :
            ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SV345 ) @ SV387 @ SV429 @ ( e1 @ SV303 @ SV345 ) @ SY3098 )
            | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SV429 @ ( e1 @ ( s @ SV303 ) @ SV345 ) @ SY3098 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[522]) ).

thf(565,plain,
    ! [SV430: $i,SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ! [SY3099: $i] :
            ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ SV388 ) @ SV430 @ ( e1 @ SV346 @ ( s @ SV388 ) ) @ SY3099 )
            | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ ( s @ SV388 ) ) @ SV430 @ ( e1 @ SV346 @ SV388 ) @ SY3099 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[523]) ).

thf(566,plain,
    ! [SV431: $i,SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ! [SY3100: $i] :
            ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ ( s @ SV389 ) ) @ SV431 @ ( e1 @ SV347 @ SV389 ) @ SY3100 )
            | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ SV389 ) @ SV431 @ ( e1 @ SV347 @ ( s @ SV389 ) ) @ SY3100 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[524]) ).

thf(567,plain,
    ! [SV432: $i,SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ! [SY3101: $i] :
            ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SV432 @ ( e1 @ ( s @ SV348 ) @ SV390 ) @ SY3101 )
            | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SV348 ) @ SV390 ) @ SV432 @ ( e1 @ SV348 @ SV390 ) @ SY3101 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(568,plain,
    ! [SV433: $i,SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ! [SY3102: $i] :
            ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SV349 ) @ SV391 ) @ SV433 @ ( e1 @ SV349 @ SV391 ) @ SY3102 )
            | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SV433 @ ( e1 @ ( s @ SV349 ) @ SV391 ) @ SY3102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(569,plain,
    ! [SV434: $i,SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ! [SY3103: $i] :
            ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ SV434 ) @ ( e1 @ SV392 @ ( s @ SV434 ) ) @ SY3103 )
            | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ ( s @ SV434 ) ) @ ( e1 @ SV392 @ SV434 ) @ SY3103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(570,plain,
    ! [SV435: $i,SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ! [SY3104: $i] :
            ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ ( s @ SV435 ) ) @ ( e1 @ SV393 @ SV435 ) @ SY3104 )
            | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ SV435 ) @ ( e1 @ SV393 @ ( s @ SV435 ) ) @ SY3104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[528]) ).

thf(571,plain,
    ! [SV436: $i,SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ! [SY3105: $i] :
            ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SV436 ) @ ( e1 @ ( s @ SV394 ) @ SV436 ) @ SY3105 )
            | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ ( s @ SV394 ) @ SV436 ) @ ( e1 @ SV394 @ SV436 ) @ SY3105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(572,plain,
    ! [SV437: $i,SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ! [SY3106: $i] :
            ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ ( s @ SV395 ) @ SV437 ) @ ( e1 @ SV395 @ SV437 ) @ SY3106 )
            | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SV437 ) @ ( e1 @ ( s @ SV395 ) @ SV437 ) @ SY3106 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(573,plain,
    ! [SV438: $i,SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SV438 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
        | ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SV438 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(574,plain,
    ! [SV439: $i,SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SV439 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
        | ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SV439 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[532]) ).

thf(575,plain,
    ! [SV440: $i,SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ! [SY3107: $i] :
            ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SY3107 )
            | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ SV62 @ SV104 ) @ SY3107 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(576,plain,
    ! [SV441: $i,SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ! [SY3108: $i] :
            ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ SV63 @ SV105 ) @ SY3108 )
            | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SY3108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[534]) ).

thf(577,plain,
    ! [SV442: $i,SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
        | ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(578,plain,
    ! [SV443: $i,SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
        | ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[536]) ).

thf(579,plain,
    ! [SV444: $i,SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ! [SY3109: $i] :
            ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SY3109 )
            | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ SV108 @ SV150 ) @ SY3109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(580,plain,
    ! [SV445: $i,SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ! [SY3110: $i] :
            ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ SV109 @ SV151 ) @ SY3110 )
            | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SY3110 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(581,plain,
    ! [SV446: $i,SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
        | ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(582,plain,
    ! [SV447: $i,SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
        | ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[540]) ).

thf(583,plain,
    ! [SV448: $i,SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ! [SY3111: $i] :
            ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SY3111 )
            | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ SV154 @ SV196 ) @ SY3111 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(584,plain,
    ! [SV449: $i,SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ! [SY3112: $i] :
            ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ SV155 @ SV197 ) @ SY3112 )
            | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SY3112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[542]) ).

thf(585,plain,
    ! [SV450: $i,SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
        | ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(586,plain,
    ! [SV451: $i,SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
        | ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(587,plain,
    ! [SV452: $i,SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ! [SY3113: $i] :
            ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SY3113 )
            | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ SV200 @ SV242 ) @ SY3113 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[545]) ).

thf(588,plain,
    ! [SV453: $i,SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ! [SY3114: $i] :
            ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ SV201 @ SV243 ) @ SY3114 )
            | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SY3114 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(589,plain,
    ! [SV454: $i,SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ! [SY3115: $i] :
            ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SY3115 )
            | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ SV286 ) @ SY3115 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[547]) ).

thf(590,plain,
    ! [SV455: $i,SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ! [SY3116: $i] :
            ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ SV287 ) @ SY3116 )
            | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SY3116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(591,plain,
    ! [SV456: $i,SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) )
        | ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(592,plain,
    ! [SV457: $i,SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) )
        | ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[550]) ).

thf(593,plain,
    ! [SV458: $i,SV416: $i,SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
        | ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(594,plain,
    ! [SV459: $i,SV417: $i,SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
        | ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(595,plain,
    ! [SV460: $i,SV418: $i,SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
        | ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(596,plain,
    ! [SV461: $i,SV419: $i,SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
        | ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(597,plain,
    ! [SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY3117: $i,SY3118: $i,SY3119: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV462 @ SY3117 ) @ ( e2 @ SY3118 @ SY3119 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SY3118 @ SY3119 ) @ ( e2 @ SV462 @ SY3117 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(598,plain,
    ! [SV421: $i,SV379: $i,SV337: $i,SV295: $i,SV253: $i,SV211: $i,SV169: $i,SV127: $i,SV85: $i,SV43: $i,SV1: $i] :
      ( ( state @ SV1 @ SV43 @ SV85 @ ( v3 @ ( s @ ( s @ ( s @ o ) ) ) @ o ) @ SV127 @ SV169 @ SV211 @ SV253 @ SV295 @ SV337 @ SV379 @ SV421 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[556]) ).

thf(599,plain,
    ! [SV463: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SV463 )
        | ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ SV296 ) @ SV463 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(600,plain,
    ! [SV464: $i,SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ SV297 ) @ SV464 )
        | ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SV464 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[558]) ).

thf(601,plain,
    ! [SV465: $i,SV424: $i,SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SV465 )
        | ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ SV298 ) @ SV465 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(602,plain,
    ! [SV466: $i,SV425: $i,SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ SV299 ) @ SV466 )
        | ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SV466 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(603,plain,
    ! [SV467: $i,SV426: $i,SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SV342 ) @ SV384 @ SV426 @ ( e1 @ SV300 @ ( s @ SV342 ) ) @ SV467 )
        | ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SV342 ) ) @ SV384 @ SV426 @ ( e1 @ SV300 @ SV342 ) @ SV467 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[561]) ).

thf(604,plain,
    ! [SV468: $i,SV427: $i,SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SV343 ) ) @ SV385 @ SV427 @ ( e1 @ SV301 @ SV343 ) @ SV468 )
        | ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SV343 ) @ SV385 @ SV427 @ ( e1 @ SV301 @ ( s @ SV343 ) ) @ SV468 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[562]) ).

thf(605,plain,
    ! [SV469: $i,SV428: $i,SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SV428 @ ( e1 @ ( s @ SV302 ) @ SV344 ) @ SV469 )
        | ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SV344 ) @ SV386 @ SV428 @ ( e1 @ SV302 @ SV344 ) @ SV469 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[563]) ).

thf(606,plain,
    ! [SV470: $i,SV429: $i,SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SV345 ) @ SV387 @ SV429 @ ( e1 @ SV303 @ SV345 ) @ SV470 )
        | ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SV429 @ ( e1 @ ( s @ SV303 ) @ SV345 ) @ SV470 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(607,plain,
    ! [SV471: $i,SV430: $i,SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ SV388 ) @ SV430 @ ( e1 @ SV346 @ ( s @ SV388 ) ) @ SV471 )
        | ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ ( s @ SV388 ) ) @ SV430 @ ( e1 @ SV346 @ SV388 ) @ SV471 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[565]) ).

thf(608,plain,
    ! [SV472: $i,SV431: $i,SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ ( s @ SV389 ) ) @ SV431 @ ( e1 @ SV347 @ SV389 ) @ SV472 )
        | ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ SV389 ) @ SV431 @ ( e1 @ SV347 @ ( s @ SV389 ) ) @ SV472 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[566]) ).

thf(609,plain,
    ! [SV473: $i,SV432: $i,SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SV432 @ ( e1 @ ( s @ SV348 ) @ SV390 ) @ SV473 )
        | ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SV348 ) @ SV390 ) @ SV432 @ ( e1 @ SV348 @ SV390 ) @ SV473 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[567]) ).

thf(610,plain,
    ! [SV474: $i,SV433: $i,SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SV349 ) @ SV391 ) @ SV433 @ ( e1 @ SV349 @ SV391 ) @ SV474 )
        | ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SV433 @ ( e1 @ ( s @ SV349 ) @ SV391 ) @ SV474 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(611,plain,
    ! [SV475: $i,SV434: $i,SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ SV434 ) @ ( e1 @ SV392 @ ( s @ SV434 ) ) @ SV475 )
        | ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ ( s @ SV434 ) ) @ ( e1 @ SV392 @ SV434 ) @ SV475 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(612,plain,
    ! [SV476: $i,SV435: $i,SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ ( s @ SV435 ) ) @ ( e1 @ SV393 @ SV435 ) @ SV476 )
        | ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ SV435 ) @ ( e1 @ SV393 @ ( s @ SV435 ) ) @ SV476 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(613,plain,
    ! [SV477: $i,SV436: $i,SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SV436 ) @ ( e1 @ ( s @ SV394 ) @ SV436 ) @ SV477 )
        | ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ ( s @ SV394 ) @ SV436 ) @ ( e1 @ SV394 @ SV436 ) @ SV477 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[571]) ).

thf(614,plain,
    ! [SV478: $i,SV437: $i,SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ ( s @ SV395 ) @ SV437 ) @ ( e1 @ SV395 @ SV437 ) @ SV478 )
        | ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SV437 ) @ ( e1 @ ( s @ SV395 ) @ SV437 ) @ SV478 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(615,plain,
    ! [SV438: $i,SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ( ~ ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SV438 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) ) )
        = $true )
      | ( ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SV438 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[573]) ).

thf(616,plain,
    ! [SV439: $i,SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ( ~ ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SV439 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) ) )
        = $true )
      | ( ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SV439 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[574]) ).

thf(617,plain,
    ! [SV479: $i,SV440: $i,SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SV479 )
        | ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ SV62 @ SV104 ) @ SV479 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[575]) ).

thf(618,plain,
    ! [SV480: $i,SV441: $i,SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ SV63 @ SV105 ) @ SV480 )
        | ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SV480 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[576]) ).

thf(619,plain,
    ! [SV442: $i,SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ( ~ ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) ) )
        = $true )
      | ( ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[577]) ).

thf(620,plain,
    ! [SV443: $i,SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ( ~ ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) ) )
        = $true )
      | ( ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[578]) ).

thf(621,plain,
    ! [SV481: $i,SV444: $i,SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SV481 )
        | ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ SV108 @ SV150 ) @ SV481 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(622,plain,
    ! [SV482: $i,SV445: $i,SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ SV109 @ SV151 ) @ SV482 )
        | ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SV482 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[580]) ).

thf(623,plain,
    ! [SV446: $i,SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ( ~ ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) ) )
        = $true )
      | ( ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[581]) ).

thf(624,plain,
    ! [SV447: $i,SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ( ~ ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) ) )
        = $true )
      | ( ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[582]) ).

thf(625,plain,
    ! [SV483: $i,SV448: $i,SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SV483 )
        | ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ SV154 @ SV196 ) @ SV483 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(626,plain,
    ! [SV484: $i,SV449: $i,SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ SV155 @ SV197 ) @ SV484 )
        | ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SV484 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[584]) ).

thf(627,plain,
    ! [SV450: $i,SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ( ~ ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) ) )
        = $true )
      | ( ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[585]) ).

thf(628,plain,
    ! [SV451: $i,SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ( ~ ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) ) )
        = $true )
      | ( ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[586]) ).

thf(629,plain,
    ! [SV485: $i,SV452: $i,SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SV485 )
        | ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ SV200 @ SV242 ) @ SV485 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[587]) ).

thf(630,plain,
    ! [SV486: $i,SV453: $i,SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ SV201 @ SV243 ) @ SV486 )
        | ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SV486 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(631,plain,
    ! [SV487: $i,SV454: $i,SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SV487 )
        | ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ SV286 ) @ SV487 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[589]) ).

thf(632,plain,
    ! [SV488: $i,SV455: $i,SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ SV287 ) @ SV488 )
        | ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SV488 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[590]) ).

thf(633,plain,
    ! [SV456: $i,SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ( ~ ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) ) )
        = $true )
      | ( ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[591]) ).

thf(634,plain,
    ! [SV457: $i,SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ( ~ ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) ) )
        = $true )
      | ( ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[592]) ).

thf(635,plain,
    ! [SV458: $i,SV416: $i,SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ( ~ ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) ) )
        = $true )
      | ( ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[593]) ).

thf(636,plain,
    ! [SV459: $i,SV417: $i,SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ( ~ ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) ) )
        = $true )
      | ( ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[594]) ).

thf(637,plain,
    ! [SV460: $i,SV418: $i,SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ( ~ ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) ) )
        = $true )
      | ( ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[595]) ).

thf(638,plain,
    ! [SV461: $i,SV419: $i,SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ( ~ ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) ) )
        = $true )
      | ( ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[596]) ).

thf(639,plain,
    ! [SV489: $i,SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY3120: $i,SY3121: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV462 @ SV489 ) @ ( e2 @ SY3120 @ SY3121 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SY3120 @ SY3121 ) @ ( e2 @ SV462 @ SV489 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[597]) ).

thf(640,plain,
    ! [SV463: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ( ~ ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SV463 ) )
        = $true )
      | ( ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ SV296 ) @ SV463 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[599]) ).

thf(641,plain,
    ! [SV464: $i,SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ( ~ ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ SV297 ) @ SV464 ) )
        = $true )
      | ( ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SV464 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[600]) ).

thf(642,plain,
    ! [SV465: $i,SV424: $i,SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ( ~ ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SV465 ) )
        = $true )
      | ( ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ SV298 ) @ SV465 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[601]) ).

thf(643,plain,
    ! [SV466: $i,SV425: $i,SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ( ~ ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ SV299 ) @ SV466 ) )
        = $true )
      | ( ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SV466 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[602]) ).

thf(644,plain,
    ! [SV467: $i,SV426: $i,SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ( ~ ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SV342 ) @ SV384 @ SV426 @ ( e1 @ SV300 @ ( s @ SV342 ) ) @ SV467 ) )
        = $true )
      | ( ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SV342 ) ) @ SV384 @ SV426 @ ( e1 @ SV300 @ SV342 ) @ SV467 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[603]) ).

thf(645,plain,
    ! [SV468: $i,SV427: $i,SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ( ~ ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SV343 ) ) @ SV385 @ SV427 @ ( e1 @ SV301 @ SV343 ) @ SV468 ) )
        = $true )
      | ( ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SV343 ) @ SV385 @ SV427 @ ( e1 @ SV301 @ ( s @ SV343 ) ) @ SV468 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[604]) ).

thf(646,plain,
    ! [SV469: $i,SV428: $i,SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ( ~ ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SV428 @ ( e1 @ ( s @ SV302 ) @ SV344 ) @ SV469 ) )
        = $true )
      | ( ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SV344 ) @ SV386 @ SV428 @ ( e1 @ SV302 @ SV344 ) @ SV469 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[605]) ).

thf(647,plain,
    ! [SV470: $i,SV429: $i,SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ( ~ ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SV345 ) @ SV387 @ SV429 @ ( e1 @ SV303 @ SV345 ) @ SV470 ) )
        = $true )
      | ( ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SV429 @ ( e1 @ ( s @ SV303 ) @ SV345 ) @ SV470 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[606]) ).

thf(648,plain,
    ! [SV471: $i,SV430: $i,SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ( ~ ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ SV388 ) @ SV430 @ ( e1 @ SV346 @ ( s @ SV388 ) ) @ SV471 ) )
        = $true )
      | ( ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ ( s @ SV388 ) ) @ SV430 @ ( e1 @ SV346 @ SV388 ) @ SV471 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[607]) ).

thf(649,plain,
    ! [SV472: $i,SV431: $i,SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ( ~ ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ ( s @ SV389 ) ) @ SV431 @ ( e1 @ SV347 @ SV389 ) @ SV472 ) )
        = $true )
      | ( ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ SV389 ) @ SV431 @ ( e1 @ SV347 @ ( s @ SV389 ) ) @ SV472 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[608]) ).

thf(650,plain,
    ! [SV473: $i,SV432: $i,SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ( ~ ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SV432 @ ( e1 @ ( s @ SV348 ) @ SV390 ) @ SV473 ) )
        = $true )
      | ( ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SV348 ) @ SV390 ) @ SV432 @ ( e1 @ SV348 @ SV390 ) @ SV473 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[609]) ).

thf(651,plain,
    ! [SV474: $i,SV433: $i,SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ( ~ ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SV349 ) @ SV391 ) @ SV433 @ ( e1 @ SV349 @ SV391 ) @ SV474 ) )
        = $true )
      | ( ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SV433 @ ( e1 @ ( s @ SV349 ) @ SV391 ) @ SV474 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[610]) ).

thf(652,plain,
    ! [SV475: $i,SV434: $i,SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ( ~ ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ SV434 ) @ ( e1 @ SV392 @ ( s @ SV434 ) ) @ SV475 ) )
        = $true )
      | ( ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ ( s @ SV434 ) ) @ ( e1 @ SV392 @ SV434 ) @ SV475 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[611]) ).

thf(653,plain,
    ! [SV476: $i,SV435: $i,SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ( ~ ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ ( s @ SV435 ) ) @ ( e1 @ SV393 @ SV435 ) @ SV476 ) )
        = $true )
      | ( ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ SV435 ) @ ( e1 @ SV393 @ ( s @ SV435 ) ) @ SV476 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[612]) ).

thf(654,plain,
    ! [SV477: $i,SV436: $i,SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ( ~ ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SV436 ) @ ( e1 @ ( s @ SV394 ) @ SV436 ) @ SV477 ) )
        = $true )
      | ( ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ ( s @ SV394 ) @ SV436 ) @ ( e1 @ SV394 @ SV436 ) @ SV477 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[613]) ).

thf(655,plain,
    ! [SV478: $i,SV437: $i,SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ( ~ ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ ( s @ SV395 ) @ SV437 ) @ ( e1 @ SV395 @ SV437 ) @ SV478 ) )
        = $true )
      | ( ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SV437 ) @ ( e1 @ ( s @ SV395 ) @ SV437 ) @ SV478 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[614]) ).

thf(656,plain,
    ! [SV438: $i,SV396: $i,SV354: $i,SV312: $i,SV270: $i,SV228: $i,SV186: $i,SV144: $i,SV102: $i,SV60: $i,SV18: $i] :
      ( ( ( state @ SV18 @ ( v1 @ SV60 @ SV102 ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SV438 @ ( e1 @ SV60 @ ( s @ SV102 ) ) @ ( e2 @ ( s @ SV60 ) @ ( s @ SV102 ) ) )
        = $false )
      | ( ( state @ SV18 @ ( v1 @ SV60 @ ( s @ SV102 ) ) @ SV144 @ SV186 @ SV228 @ SV270 @ SV312 @ SV354 @ SV396 @ SV438 @ ( e1 @ SV60 @ SV102 ) @ ( e2 @ ( s @ SV60 ) @ SV102 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(657,plain,
    ! [SV439: $i,SV397: $i,SV355: $i,SV313: $i,SV271: $i,SV229: $i,SV187: $i,SV145: $i,SV103: $i,SV61: $i,SV19: $i] :
      ( ( ( state @ SV19 @ ( v1 @ SV61 @ ( s @ SV103 ) ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SV439 @ ( e1 @ SV61 @ SV103 ) @ ( e2 @ ( s @ SV61 ) @ SV103 ) )
        = $false )
      | ( ( state @ SV19 @ ( v1 @ SV61 @ SV103 ) @ SV145 @ SV187 @ SV229 @ SV271 @ SV313 @ SV355 @ SV397 @ SV439 @ ( e1 @ SV61 @ ( s @ SV103 ) ) @ ( e2 @ ( s @ SV61 ) @ ( s @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(658,plain,
    ! [SV479: $i,SV440: $i,SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ( ~ ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SV479 ) )
        = $true )
      | ( ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ SV62 @ SV104 ) @ SV479 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[617]) ).

thf(659,plain,
    ! [SV480: $i,SV441: $i,SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ( ~ ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ SV63 @ SV105 ) @ SV480 ) )
        = $true )
      | ( ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SV480 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(660,plain,
    ! [SV442: $i,SV400: $i,SV358: $i,SV316: $i,SV274: $i,SV232: $i,SV190: $i,SV148: $i,SV106: $i,SV64: $i,SV22: $i] :
      ( ( ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ SV148 ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV106 @ ( s @ SV148 ) ) @ ( e2 @ ( s @ SV106 ) @ ( s @ SV148 ) ) )
        = $false )
      | ( ( state @ SV22 @ SV64 @ ( v2 @ SV106 @ ( s @ SV148 ) ) @ SV190 @ SV232 @ SV274 @ SV316 @ SV358 @ SV400 @ SV442 @ ( e1 @ SV106 @ SV148 ) @ ( e2 @ ( s @ SV106 ) @ SV148 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(661,plain,
    ! [SV443: $i,SV401: $i,SV359: $i,SV317: $i,SV275: $i,SV233: $i,SV191: $i,SV149: $i,SV107: $i,SV65: $i,SV23: $i] :
      ( ( ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ ( s @ SV149 ) ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV107 @ SV149 ) @ ( e2 @ ( s @ SV107 ) @ SV149 ) )
        = $false )
      | ( ( state @ SV23 @ SV65 @ ( v2 @ SV107 @ SV149 ) @ SV191 @ SV233 @ SV275 @ SV317 @ SV359 @ SV401 @ SV443 @ ( e1 @ SV107 @ ( s @ SV149 ) ) @ ( e2 @ ( s @ SV107 ) @ ( s @ SV149 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[620]) ).

thf(662,plain,
    ! [SV481: $i,SV444: $i,SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ( ~ ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SV481 ) )
        = $true )
      | ( ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ SV108 @ SV150 ) @ SV481 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[621]) ).

thf(663,plain,
    ! [SV482: $i,SV445: $i,SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ( ~ ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ SV109 @ SV151 ) @ SV482 ) )
        = $true )
      | ( ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SV482 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[622]) ).

thf(664,plain,
    ! [SV446: $i,SV404: $i,SV362: $i,SV320: $i,SV278: $i,SV236: $i,SV194: $i,SV152: $i,SV110: $i,SV68: $i,SV26: $i] :
      ( ( ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ SV194 ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV152 @ ( s @ SV194 ) ) @ ( e2 @ ( s @ SV152 ) @ ( s @ SV194 ) ) )
        = $false )
      | ( ( state @ SV26 @ SV68 @ SV110 @ ( v3 @ SV152 @ ( s @ SV194 ) ) @ SV236 @ SV278 @ SV320 @ SV362 @ SV404 @ SV446 @ ( e1 @ SV152 @ SV194 ) @ ( e2 @ ( s @ SV152 ) @ SV194 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(665,plain,
    ! [SV447: $i,SV405: $i,SV363: $i,SV321: $i,SV279: $i,SV237: $i,SV195: $i,SV153: $i,SV111: $i,SV69: $i,SV27: $i] :
      ( ( ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ ( s @ SV195 ) ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV153 @ SV195 ) @ ( e2 @ ( s @ SV153 ) @ SV195 ) )
        = $false )
      | ( ( state @ SV27 @ SV69 @ SV111 @ ( v3 @ SV153 @ SV195 ) @ SV237 @ SV279 @ SV321 @ SV363 @ SV405 @ SV447 @ ( e1 @ SV153 @ ( s @ SV195 ) ) @ ( e2 @ ( s @ SV153 ) @ ( s @ SV195 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[624]) ).

thf(666,plain,
    ! [SV483: $i,SV448: $i,SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ( ~ ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SV483 ) )
        = $true )
      | ( ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ SV154 @ SV196 ) @ SV483 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[625]) ).

thf(667,plain,
    ! [SV484: $i,SV449: $i,SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ( ~ ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ SV155 @ SV197 ) @ SV484 ) )
        = $true )
      | ( ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SV484 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[626]) ).

thf(668,plain,
    ! [SV450: $i,SV408: $i,SV366: $i,SV324: $i,SV282: $i,SV240: $i,SV198: $i,SV156: $i,SV114: $i,SV72: $i,SV30: $i] :
      ( ( ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ SV240 ) @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV198 @ ( s @ SV240 ) ) @ ( e2 @ ( s @ SV198 ) @ ( s @ SV240 ) ) )
        = $false )
      | ( ( state @ SV30 @ SV72 @ SV114 @ SV156 @ ( v4 @ SV198 @ ( s @ SV240 ) ) @ SV282 @ SV324 @ SV366 @ SV408 @ SV450 @ ( e1 @ SV198 @ SV240 ) @ ( e2 @ ( s @ SV198 ) @ SV240 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(669,plain,
    ! [SV451: $i,SV409: $i,SV367: $i,SV325: $i,SV283: $i,SV241: $i,SV199: $i,SV157: $i,SV115: $i,SV73: $i,SV31: $i] :
      ( ( ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ ( s @ SV241 ) ) @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV199 @ SV241 ) @ ( e2 @ ( s @ SV199 ) @ SV241 ) )
        = $false )
      | ( ( state @ SV31 @ SV73 @ SV115 @ SV157 @ ( v4 @ SV199 @ SV241 ) @ SV283 @ SV325 @ SV367 @ SV409 @ SV451 @ ( e1 @ SV199 @ ( s @ SV241 ) ) @ ( e2 @ ( s @ SV199 ) @ ( s @ SV241 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(670,plain,
    ! [SV485: $i,SV452: $i,SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ( ~ ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SV485 ) )
        = $true )
      | ( ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ SV200 @ SV242 ) @ SV485 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[629]) ).

thf(671,plain,
    ! [SV486: $i,SV453: $i,SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ( ~ ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ SV201 @ SV243 ) @ SV486 ) )
        = $true )
      | ( ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SV486 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[630]) ).

thf(672,plain,
    ! [SV487: $i,SV454: $i,SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ( ~ ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SV487 ) )
        = $true )
      | ( ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ SV286 ) @ SV487 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[631]) ).

thf(673,plain,
    ! [SV488: $i,SV455: $i,SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ( ~ ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ SV287 ) @ SV488 ) )
        = $true )
      | ( ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SV488 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[632]) ).

thf(674,plain,
    ! [SV456: $i,SV414: $i,SV372: $i,SV330: $i,SV288: $i,SV246: $i,SV204: $i,SV162: $i,SV120: $i,SV78: $i,SV36: $i] :
      ( ( ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ SV246 @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ ( s @ SV246 ) @ SV288 ) @ ( e2 @ ( s @ SV246 ) @ ( s @ SV288 ) ) )
        = $false )
      | ( ( state @ SV36 @ SV78 @ SV120 @ SV162 @ SV204 @ ( h @ ( s @ SV246 ) @ SV288 ) @ SV330 @ SV372 @ SV414 @ SV456 @ ( e1 @ SV246 @ SV288 ) @ ( e2 @ SV246 @ ( s @ SV288 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(675,plain,
    ! [SV457: $i,SV415: $i,SV373: $i,SV331: $i,SV289: $i,SV247: $i,SV205: $i,SV163: $i,SV121: $i,SV79: $i,SV37: $i] :
      ( ( ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ ( s @ SV247 ) @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ SV247 @ SV289 ) @ ( e2 @ SV247 @ ( s @ SV289 ) ) )
        = $false )
      | ( ( state @ SV37 @ SV79 @ SV121 @ SV163 @ SV205 @ ( h @ SV247 @ SV289 ) @ SV331 @ SV373 @ SV415 @ SV457 @ ( e1 @ ( s @ SV247 ) @ SV289 ) @ ( e2 @ ( s @ SV247 ) @ ( s @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(676,plain,
    ! [SV458: $i,SV416: $i,SV374: $i,SV332: $i,SV290: $i,SV248: $i,SV206: $i,SV164: $i,SV122: $i,SV80: $i,SV38: $i] :
      ( ( ( state @ ( bb @ SV38 @ SV80 ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV38 @ ( s @ ( s @ SV80 ) ) ) @ ( e2 @ ( s @ SV38 ) @ ( s @ ( s @ SV80 ) ) ) )
        = $false )
      | ( ( state @ ( bb @ SV38 @ ( s @ SV80 ) ) @ SV122 @ SV164 @ SV206 @ SV248 @ SV290 @ SV332 @ SV374 @ SV416 @ SV458 @ ( e1 @ SV38 @ SV80 ) @ ( e2 @ ( s @ SV38 ) @ SV80 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(677,plain,
    ! [SV459: $i,SV417: $i,SV375: $i,SV333: $i,SV291: $i,SV249: $i,SV207: $i,SV165: $i,SV123: $i,SV81: $i,SV39: $i] :
      ( ( ( state @ ( bb @ SV39 @ ( s @ SV81 ) ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV39 @ SV81 ) @ ( e2 @ ( s @ SV39 ) @ SV81 ) )
        = $false )
      | ( ( state @ ( bb @ SV39 @ SV81 ) @ SV123 @ SV165 @ SV207 @ SV249 @ SV291 @ SV333 @ SV375 @ SV417 @ SV459 @ ( e1 @ SV39 @ ( s @ ( s @ SV81 ) ) ) @ ( e2 @ ( s @ SV39 ) @ ( s @ ( s @ SV81 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(678,plain,
    ! [SV460: $i,SV418: $i,SV376: $i,SV334: $i,SV292: $i,SV250: $i,SV208: $i,SV166: $i,SV124: $i,SV82: $i,SV40: $i] :
      ( ( ( state @ ( bb @ SV40 @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ ( s @ ( s @ SV40 ) ) @ SV82 ) @ ( e2 @ ( s @ ( s @ SV40 ) ) @ ( s @ SV82 ) ) )
        = $false )
      | ( ( state @ ( bb @ ( s @ SV40 ) @ SV82 ) @ SV124 @ SV166 @ SV208 @ SV250 @ SV292 @ SV334 @ SV376 @ SV418 @ SV460 @ ( e1 @ SV40 @ SV82 ) @ ( e2 @ SV40 @ ( s @ SV82 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(679,plain,
    ! [SV461: $i,SV419: $i,SV377: $i,SV335: $i,SV293: $i,SV251: $i,SV209: $i,SV167: $i,SV125: $i,SV83: $i,SV41: $i] :
      ( ( ( state @ ( bb @ ( s @ SV41 ) @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ SV41 @ SV83 ) @ ( e2 @ SV41 @ ( s @ SV83 ) ) )
        = $false )
      | ( ( state @ ( bb @ SV41 @ SV83 ) @ SV125 @ SV167 @ SV209 @ SV251 @ SV293 @ SV335 @ SV377 @ SV419 @ SV461 @ ( e1 @ ( s @ ( s @ SV41 ) ) @ SV83 ) @ ( e2 @ ( s @ ( s @ SV41 ) ) @ ( s @ SV83 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(680,plain,
    ! [SV490: $i,SV489: $i,SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ! [SY3122: $i] :
            ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV462 @ SV489 ) @ ( e2 @ SV490 @ SY3122 ) )
            | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV490 @ SY3122 ) @ ( e2 @ SV462 @ SV489 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[639]) ).

thf(681,plain,
    ! [SV463: $i,SV422: $i,SV380: $i,SV338: $i,SV296: $i,SV254: $i,SV212: $i,SV170: $i,SV128: $i,SV86: $i,SV44: $i,SV2: $i] :
      ( ( ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ SV296 ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ ( s @ SV296 ) ) @ SV463 )
        = $false )
      | ( ( state @ SV2 @ SV44 @ SV86 @ SV128 @ SV170 @ SV212 @ ( s1 @ SV254 @ ( s @ SV296 ) ) @ SV338 @ SV380 @ SV422 @ ( e1 @ SV254 @ SV296 ) @ SV463 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(682,plain,
    ! [SV464: $i,SV423: $i,SV381: $i,SV339: $i,SV297: $i,SV255: $i,SV213: $i,SV171: $i,SV129: $i,SV87: $i,SV45: $i,SV3: $i] :
      ( ( ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ ( s @ SV297 ) ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ SV297 ) @ SV464 )
        = $false )
      | ( ( state @ SV3 @ SV45 @ SV87 @ SV129 @ SV171 @ SV213 @ ( s1 @ SV255 @ SV297 ) @ SV339 @ SV381 @ SV423 @ ( e1 @ SV255 @ ( s @ SV297 ) ) @ SV464 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(683,plain,
    ! [SV465: $i,SV424: $i,SV382: $i,SV340: $i,SV298: $i,SV256: $i,SV214: $i,SV172: $i,SV130: $i,SV88: $i,SV46: $i,SV4: $i] :
      ( ( ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ SV256 @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ ( s @ SV256 ) @ SV298 ) @ SV465 )
        = $false )
      | ( ( state @ SV4 @ SV46 @ SV88 @ SV130 @ SV172 @ SV214 @ ( s1 @ ( s @ SV256 ) @ SV298 ) @ SV340 @ SV382 @ SV424 @ ( e1 @ SV256 @ SV298 ) @ SV465 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[642]) ).

thf(684,plain,
    ! [SV466: $i,SV425: $i,SV383: $i,SV341: $i,SV299: $i,SV257: $i,SV215: $i,SV173: $i,SV131: $i,SV89: $i,SV47: $i,SV5: $i] :
      ( ( ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ ( s @ SV257 ) @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ SV257 @ SV299 ) @ SV466 )
        = $false )
      | ( ( state @ SV5 @ SV47 @ SV89 @ SV131 @ SV173 @ SV215 @ ( s1 @ SV257 @ SV299 ) @ SV341 @ SV383 @ SV425 @ ( e1 @ ( s @ SV257 ) @ SV299 ) @ SV466 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(685,plain,
    ! [SV467: $i,SV426: $i,SV384: $i,SV342: $i,SV300: $i,SV258: $i,SV216: $i,SV174: $i,SV132: $i,SV90: $i,SV48: $i,SV6: $i] :
      ( ( ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ SV342 ) @ SV384 @ SV426 @ ( e1 @ SV300 @ ( s @ SV342 ) ) @ SV467 )
        = $false )
      | ( ( state @ SV6 @ SV48 @ SV90 @ SV132 @ SV174 @ SV216 @ SV258 @ ( s2 @ SV300 @ ( s @ SV342 ) ) @ SV384 @ SV426 @ ( e1 @ SV300 @ SV342 ) @ SV467 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(686,plain,
    ! [SV468: $i,SV427: $i,SV385: $i,SV343: $i,SV301: $i,SV259: $i,SV217: $i,SV175: $i,SV133: $i,SV91: $i,SV49: $i,SV7: $i] :
      ( ( ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ ( s @ SV343 ) ) @ SV385 @ SV427 @ ( e1 @ SV301 @ SV343 ) @ SV468 )
        = $false )
      | ( ( state @ SV7 @ SV49 @ SV91 @ SV133 @ SV175 @ SV217 @ SV259 @ ( s2 @ SV301 @ SV343 ) @ SV385 @ SV427 @ ( e1 @ SV301 @ ( s @ SV343 ) ) @ SV468 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(687,plain,
    ! [SV469: $i,SV428: $i,SV386: $i,SV344: $i,SV302: $i,SV260: $i,SV218: $i,SV176: $i,SV134: $i,SV92: $i,SV50: $i,SV8: $i] :
      ( ( ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ SV302 @ SV344 ) @ SV386 @ SV428 @ ( e1 @ ( s @ SV302 ) @ SV344 ) @ SV469 )
        = $false )
      | ( ( state @ SV8 @ SV50 @ SV92 @ SV134 @ SV176 @ SV218 @ SV260 @ ( s2 @ ( s @ SV302 ) @ SV344 ) @ SV386 @ SV428 @ ( e1 @ SV302 @ SV344 ) @ SV469 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(688,plain,
    ! [SV470: $i,SV429: $i,SV387: $i,SV345: $i,SV303: $i,SV261: $i,SV219: $i,SV177: $i,SV135: $i,SV93: $i,SV51: $i,SV9: $i] :
      ( ( ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ ( s @ SV303 ) @ SV345 ) @ SV387 @ SV429 @ ( e1 @ SV303 @ SV345 ) @ SV470 )
        = $false )
      | ( ( state @ SV9 @ SV51 @ SV93 @ SV135 @ SV177 @ SV219 @ SV261 @ ( s2 @ SV303 @ SV345 ) @ SV387 @ SV429 @ ( e1 @ ( s @ SV303 ) @ SV345 ) @ SV470 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(689,plain,
    ! [SV471: $i,SV430: $i,SV388: $i,SV346: $i,SV304: $i,SV262: $i,SV220: $i,SV178: $i,SV136: $i,SV94: $i,SV52: $i,SV10: $i] :
      ( ( ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ SV388 ) @ SV430 @ ( e1 @ SV346 @ ( s @ SV388 ) ) @ SV471 )
        = $false )
      | ( ( state @ SV10 @ SV52 @ SV94 @ SV136 @ SV178 @ SV220 @ SV262 @ SV304 @ ( s3 @ SV346 @ ( s @ SV388 ) ) @ SV430 @ ( e1 @ SV346 @ SV388 ) @ SV471 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(690,plain,
    ! [SV472: $i,SV431: $i,SV389: $i,SV347: $i,SV305: $i,SV263: $i,SV221: $i,SV179: $i,SV137: $i,SV95: $i,SV53: $i,SV11: $i] :
      ( ( ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ ( s @ SV389 ) ) @ SV431 @ ( e1 @ SV347 @ SV389 ) @ SV472 )
        = $false )
      | ( ( state @ SV11 @ SV53 @ SV95 @ SV137 @ SV179 @ SV221 @ SV263 @ SV305 @ ( s3 @ SV347 @ SV389 ) @ SV431 @ ( e1 @ SV347 @ ( s @ SV389 ) ) @ SV472 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(691,plain,
    ! [SV473: $i,SV432: $i,SV390: $i,SV348: $i,SV306: $i,SV264: $i,SV222: $i,SV180: $i,SV138: $i,SV96: $i,SV54: $i,SV12: $i] :
      ( ( ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ SV348 @ SV390 ) @ SV432 @ ( e1 @ ( s @ SV348 ) @ SV390 ) @ SV473 )
        = $false )
      | ( ( state @ SV12 @ SV54 @ SV96 @ SV138 @ SV180 @ SV222 @ SV264 @ SV306 @ ( s3 @ ( s @ SV348 ) @ SV390 ) @ SV432 @ ( e1 @ SV348 @ SV390 ) @ SV473 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(692,plain,
    ! [SV474: $i,SV433: $i,SV391: $i,SV349: $i,SV307: $i,SV265: $i,SV223: $i,SV181: $i,SV139: $i,SV97: $i,SV55: $i,SV13: $i] :
      ( ( ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ ( s @ SV349 ) @ SV391 ) @ SV433 @ ( e1 @ SV349 @ SV391 ) @ SV474 )
        = $false )
      | ( ( state @ SV13 @ SV55 @ SV97 @ SV139 @ SV181 @ SV223 @ SV265 @ SV307 @ ( s3 @ SV349 @ SV391 ) @ SV433 @ ( e1 @ ( s @ SV349 ) @ SV391 ) @ SV474 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(693,plain,
    ! [SV475: $i,SV434: $i,SV392: $i,SV350: $i,SV308: $i,SV266: $i,SV224: $i,SV182: $i,SV140: $i,SV98: $i,SV56: $i,SV14: $i] :
      ( ( ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ SV434 ) @ ( e1 @ SV392 @ ( s @ SV434 ) ) @ SV475 )
        = $false )
      | ( ( state @ SV14 @ SV56 @ SV98 @ SV140 @ SV182 @ SV224 @ SV266 @ SV308 @ SV350 @ ( s4 @ SV392 @ ( s @ SV434 ) ) @ ( e1 @ SV392 @ SV434 ) @ SV475 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(694,plain,
    ! [SV476: $i,SV435: $i,SV393: $i,SV351: $i,SV309: $i,SV267: $i,SV225: $i,SV183: $i,SV141: $i,SV99: $i,SV57: $i,SV15: $i] :
      ( ( ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ ( s @ SV435 ) ) @ ( e1 @ SV393 @ SV435 ) @ SV476 )
        = $false )
      | ( ( state @ SV15 @ SV57 @ SV99 @ SV141 @ SV183 @ SV225 @ SV267 @ SV309 @ SV351 @ ( s4 @ SV393 @ SV435 ) @ ( e1 @ SV393 @ ( s @ SV435 ) ) @ SV476 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(695,plain,
    ! [SV477: $i,SV436: $i,SV394: $i,SV352: $i,SV310: $i,SV268: $i,SV226: $i,SV184: $i,SV142: $i,SV100: $i,SV58: $i,SV16: $i] :
      ( ( ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ SV394 @ SV436 ) @ ( e1 @ ( s @ SV394 ) @ SV436 ) @ SV477 )
        = $false )
      | ( ( state @ SV16 @ SV58 @ SV100 @ SV142 @ SV184 @ SV226 @ SV268 @ SV310 @ SV352 @ ( s4 @ ( s @ SV394 ) @ SV436 ) @ ( e1 @ SV394 @ SV436 ) @ SV477 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(696,plain,
    ! [SV478: $i,SV437: $i,SV395: $i,SV353: $i,SV311: $i,SV269: $i,SV227: $i,SV185: $i,SV143: $i,SV101: $i,SV59: $i,SV17: $i] :
      ( ( ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ ( s @ SV395 ) @ SV437 ) @ ( e1 @ SV395 @ SV437 ) @ SV478 )
        = $false )
      | ( ( state @ SV17 @ SV59 @ SV101 @ SV143 @ SV185 @ SV227 @ SV269 @ SV311 @ SV353 @ ( s4 @ SV395 @ SV437 ) @ ( e1 @ ( s @ SV395 ) @ SV437 ) @ SV478 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[655]) ).

thf(697,plain,
    ! [SV479: $i,SV440: $i,SV398: $i,SV356: $i,SV314: $i,SV272: $i,SV230: $i,SV188: $i,SV146: $i,SV104: $i,SV62: $i,SV20: $i] :
      ( ( ( state @ SV20 @ ( v1 @ SV62 @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ ( s @ ( s @ SV62 ) ) @ SV104 ) @ SV479 )
        = $false )
      | ( ( state @ SV20 @ ( v1 @ ( s @ SV62 ) @ SV104 ) @ SV146 @ SV188 @ SV230 @ SV272 @ SV314 @ SV356 @ SV398 @ SV440 @ ( e1 @ SV62 @ SV104 ) @ SV479 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(698,plain,
    ! [SV480: $i,SV441: $i,SV399: $i,SV357: $i,SV315: $i,SV273: $i,SV231: $i,SV189: $i,SV147: $i,SV105: $i,SV63: $i,SV21: $i] :
      ( ( ( state @ SV21 @ ( v1 @ ( s @ SV63 ) @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ SV63 @ SV105 ) @ SV480 )
        = $false )
      | ( ( state @ SV21 @ ( v1 @ SV63 @ SV105 ) @ SV147 @ SV189 @ SV231 @ SV273 @ SV315 @ SV357 @ SV399 @ SV441 @ ( e1 @ ( s @ ( s @ SV63 ) ) @ SV105 ) @ SV480 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(699,plain,
    ! [SV481: $i,SV444: $i,SV402: $i,SV360: $i,SV318: $i,SV276: $i,SV234: $i,SV192: $i,SV150: $i,SV108: $i,SV66: $i,SV24: $i] :
      ( ( ( state @ SV24 @ SV66 @ ( v2 @ SV108 @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ ( s @ ( s @ SV108 ) ) @ SV150 ) @ SV481 )
        = $false )
      | ( ( state @ SV24 @ SV66 @ ( v2 @ ( s @ SV108 ) @ SV150 ) @ SV192 @ SV234 @ SV276 @ SV318 @ SV360 @ SV402 @ SV444 @ ( e1 @ SV108 @ SV150 ) @ SV481 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[662]) ).

thf(700,plain,
    ! [SV482: $i,SV445: $i,SV403: $i,SV361: $i,SV319: $i,SV277: $i,SV235: $i,SV193: $i,SV151: $i,SV109: $i,SV67: $i,SV25: $i] :
      ( ( ( state @ SV25 @ SV67 @ ( v2 @ ( s @ SV109 ) @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ SV109 @ SV151 ) @ SV482 )
        = $false )
      | ( ( state @ SV25 @ SV67 @ ( v2 @ SV109 @ SV151 ) @ SV193 @ SV235 @ SV277 @ SV319 @ SV361 @ SV403 @ SV445 @ ( e1 @ ( s @ ( s @ SV109 ) ) @ SV151 ) @ SV482 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(701,plain,
    ! [SV483: $i,SV448: $i,SV406: $i,SV364: $i,SV322: $i,SV280: $i,SV238: $i,SV196: $i,SV154: $i,SV112: $i,SV70: $i,SV28: $i] :
      ( ( ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ SV154 @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ ( s @ ( s @ SV154 ) ) @ SV196 ) @ SV483 )
        = $false )
      | ( ( state @ SV28 @ SV70 @ SV112 @ ( v3 @ ( s @ SV154 ) @ SV196 ) @ SV238 @ SV280 @ SV322 @ SV364 @ SV406 @ SV448 @ ( e1 @ SV154 @ SV196 ) @ SV483 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[666]) ).

thf(702,plain,
    ! [SV484: $i,SV449: $i,SV407: $i,SV365: $i,SV323: $i,SV281: $i,SV239: $i,SV197: $i,SV155: $i,SV113: $i,SV71: $i,SV29: $i] :
      ( ( ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ ( s @ SV155 ) @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ SV155 @ SV197 ) @ SV484 )
        = $false )
      | ( ( state @ SV29 @ SV71 @ SV113 @ ( v3 @ SV155 @ SV197 ) @ SV239 @ SV281 @ SV323 @ SV365 @ SV407 @ SV449 @ ( e1 @ ( s @ ( s @ SV155 ) ) @ SV197 ) @ SV484 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[667]) ).

thf(703,plain,
    ! [SV485: $i,SV452: $i,SV410: $i,SV368: $i,SV326: $i,SV284: $i,SV242: $i,SV200: $i,SV158: $i,SV116: $i,SV74: $i,SV32: $i] :
      ( ( ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ SV200 @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ ( s @ ( s @ SV200 ) ) @ SV242 ) @ SV485 )
        = $false )
      | ( ( state @ SV32 @ SV74 @ SV116 @ SV158 @ ( v4 @ ( s @ SV200 ) @ SV242 ) @ SV284 @ SV326 @ SV368 @ SV410 @ SV452 @ ( e1 @ SV200 @ SV242 ) @ SV485 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(704,plain,
    ! [SV486: $i,SV453: $i,SV411: $i,SV369: $i,SV327: $i,SV285: $i,SV243: $i,SV201: $i,SV159: $i,SV117: $i,SV75: $i,SV33: $i] :
      ( ( ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ ( s @ SV201 ) @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ SV201 @ SV243 ) @ SV486 )
        = $false )
      | ( ( state @ SV33 @ SV75 @ SV117 @ SV159 @ ( v4 @ SV201 @ SV243 ) @ SV285 @ SV327 @ SV369 @ SV411 @ SV453 @ ( e1 @ ( s @ ( s @ SV201 ) ) @ SV243 ) @ SV486 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(705,plain,
    ! [SV487: $i,SV454: $i,SV412: $i,SV370: $i,SV328: $i,SV286: $i,SV244: $i,SV202: $i,SV160: $i,SV118: $i,SV76: $i,SV34: $i] :
      ( ( ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ SV286 ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ ( s @ ( s @ SV286 ) ) ) @ SV487 )
        = $false )
      | ( ( state @ SV34 @ SV76 @ SV118 @ SV160 @ SV202 @ ( h @ SV244 @ ( s @ SV286 ) ) @ SV328 @ SV370 @ SV412 @ SV454 @ ( e1 @ SV244 @ SV286 ) @ SV487 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(706,plain,
    ! [SV488: $i,SV455: $i,SV413: $i,SV371: $i,SV329: $i,SV287: $i,SV245: $i,SV203: $i,SV161: $i,SV119: $i,SV77: $i,SV35: $i] :
      ( ( ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ ( s @ SV287 ) ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ SV287 ) @ SV488 )
        = $false )
      | ( ( state @ SV35 @ SV77 @ SV119 @ SV161 @ SV203 @ ( h @ SV245 @ SV287 ) @ SV329 @ SV371 @ SV413 @ SV455 @ ( e1 @ SV245 @ ( s @ ( s @ SV287 ) ) ) @ SV488 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(707,plain,
    ! [SV491: $i,SV490: $i,SV489: $i,SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV462 @ SV489 ) @ ( e2 @ SV490 @ SV491 ) )
        | ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV490 @ SV491 ) @ ( e2 @ SV462 @ SV489 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[680]) ).

thf(708,plain,
    ! [SV491: $i,SV490: $i,SV489: $i,SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ( ~ ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV462 @ SV489 ) @ ( e2 @ SV490 @ SV491 ) ) )
        = $true )
      | ( ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV490 @ SV491 ) @ ( e2 @ SV462 @ SV489 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(709,plain,
    ! [SV491: $i,SV490: $i,SV489: $i,SV462: $i,SV420: $i,SV378: $i,SV336: $i,SV294: $i,SV252: $i,SV210: $i,SV168: $i,SV126: $i,SV84: $i,SV42: $i] :
      ( ( ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV462 @ SV489 ) @ ( e2 @ SV490 @ SV491 ) )
        = $false )
      | ( ( state @ SV42 @ SV84 @ SV126 @ SV168 @ SV210 @ SV252 @ SV294 @ SV336 @ SV378 @ SV420 @ ( e1 @ SV490 @ SV491 ) @ ( e2 @ SV462 @ SV489 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(710,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[92,709,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,679,678,677,676,675,674,669,668,665,664,661,660,657,656,598,177]) ).

thf(711,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[710]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.09  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Sun May 29 00:08:11 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.97/1.15  .
% 0.97/1.15  
% 0.97/1.15   No.of.Axioms: 43
% 0.97/1.15  
% 0.97/1.15   Length.of.Defs: 0
% 0.97/1.15  
% 0.97/1.15   Contains.Choice.Funs: false
% 1.68/1.88  .
% 1.68/1.88  (rf:0,axioms:43,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:45,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................................
% 5.37/5.61  
% 5.37/5.61  ********************************
% 5.37/5.61  *   All subproblems solved!    *
% 5.37/5.61  ********************************
% 5.37/5.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:43,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:70,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:710,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.62/5.82  
% 5.62/5.82  %**** Beginning of derivation protocol ****
% 5.62/5.82  % SZS output start CNFRefutation
% See solution above
% 5.62/5.83  
% 5.62/5.83  %**** End of derivation protocol ****
% 5.62/5.83  %**** no. of clauses in derivation: 711 ****
% 5.62/5.83  %**** clause counter: 710 ****
% 5.62/5.83  
% 5.62/5.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:43,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:70,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:710,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------